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ARITHMETIC 1 YUWAM INDORE TIME & WORK v A, Band C undertake to complete a piece of work for Rs. 1,950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3:5:4, what does C get? (A) Rs. 400 (B) Rs. 750 (C) Rs. 675 ( C ) Rs. 800 v A is thrice as good a workman as B. A can finish a piece of work in 40 days less than B. ln how many days will they together be able to do the work? (A) 12 days (B) 15 days (C) 18 days (D ) 20 days v Two pipes A and B can separately fill a tank in 6 hours and 8 hours respectively. Both the pipes are opened together, but 2% hours after the start, the pipe B is turned off. How much time will it take to fill the tank? (A) 42 hours (B) 44 hours (C) 48 hours (D) 44 hours v Two taps A and B can fill a cistern in 30 minute and 45 minute respectively. There is third exhaust tap C at the bottom of the tank. If all the taps are opened at the same time the cistern will be full in 45 minute. In what time can exhaust tap C empty the" cistern when full? (A) 10 min (B) 15 min (C) ; 18 min (D) 20 min v Two taps can separately fill a cistern in 10 minute and 15 minute respectively and when the waste pipe is open, they can together fill it in 18 minute. The waste pipe can empty the full cistern in minute: (A) 7 min (B) 8 min (C) 9 min (D) 10 min v Two taps A and B can separately fill a cistern in 8 hours and 12 hours respectively. In what time will the cistern be full if both the taps are opened together? (A) 45hours (B) 45hours (C) 42 hours (D) 4 hours v Two taps A and B can separately fill a cistern in 24 minute and 30 minute respectively. Both the pipes are opened together. Find when the pipe B must be turned off so that the cistern may be full in 18 minute. (A) 6%min (B) 6 !min (C) 7 min (D) 7~ min

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ARITHMETIC

1

YUWAM

INDORE

TIME & WORK

v A, Band C undertake to complete a piece of work for Rs. 1,950. A works for 8 days,B for 9 days and C for 12 days to complete the work. If their daily wages are in theratio of 3:5:4, what does C get?

(A) Rs. 400 (B) Rs. 750 (C) Rs. 675 (C) Rs. 800

v A is thrice as good a workman as B. A can finish a piece of work in 40 days less thanB. ln how many days will they together be able to do the work?

(A) 12 days (B) 15 days (C) 18 days (D) 20 days

v Two pipes A and B can separately fill a tank in 6 hours and 8 hours respectively. Boththe pipes are opened together, but 2% hours after the start, the pipe B is turned off.How much time will it take to fill the tank?

(A) 42 hours (B) 44 hours (C) 48 hours (D) 44 hours

v Two taps A and B can fill a cistern in 30 minute and 45 minute respectively. There isthird exhaust tap C at the bottom of the tank. If all the taps are opened at the sametime the cistern will be full in 45 minute. In what time can exhaust tap C empty the"cistern when full?

(A) 10 min (B) 15 min (C) ;18 min (D) 20 min

v Two taps can separately fill a cistern in 10 minute and 15 minute respectively and whenthe waste pipe is open, they can together fill it in 18 minute. The waste pipe can emptythe full cistern in minute:

(A) 7 min (B) 8 min (C) 9 min (D) 10 min

v Two taps A and B can separately fill a cistern in 8 hours and 12 hours respectively. Inwhat time will the cistern be full if both the taps are opened together?

(A) 45 hours (B) 45 hours (C) 42 hours (D) 4 hours

v Two taps A and B can separately fill a cistern in 24 minute and 30 minute respectively.Both the pipes are opened together. Find when the pipe B must be turned off so thatthe cistern may be full in 18 minute.

(A) 6%min (B) 6!min (C) 7 min (D) 7~ min

ARITHMETIC

2

YUWAM

INDORE

v A tap can fill a cistern in 12 min. while another tapB can empty it is 8 minute. Thepipe A is kept open for 6 minute in the beginning and the second pipe B is alsoopened. In what time will the cistern be emptied?

(A) 6 min (B) 12 min (C) 18 min (D) 4 min

v A cistern is normally filled in 8 hours but takes two hours longer to fill became of a leakin its bottom. If the cistern is full, the leak will empty it in :

(A) 10 hours (B) 18 hours (C) 30 hours' (D) 40 hours

v If 5 men and 8 boys can complete a work in 15 days and 5 men and 3 boy in 20 days,then 12 boys can complete the same work in :

(A) 15 days (B) 20 days (C) 25 days (D) 36 days

v In an NCC camp of 300 cadets, there was enough food for 22 days. But as same morecadets joined the camp on the very first day. The food was exhausted in 20 days only.The number of cadets joined later is :

(A) 20 (B) 30 (C) 50 (D) 60·

v If 3 men or 6 boys can finish a work in 20 days, 6 men and 8 boys finish the twice thework in

(A) 9 days (B) 1 1 days (C) 3 days (D) 12 days

v A five day cricket match is played for 30 hours, the duration ofthe play being thesame every day. If a match stops after 3 days due to rain, find for how many hoursthe match was played?

(A) 12 hrs (B) 18 hrs (C) 14 hrs (D) 16 hrs

v If 36 binders bind 900 books in 10 days, how many binders will be required to bind1200. books in 12 days?

(A) 30 (B) 32 (C) 40 (D) 42

v A bullet covers 400 m in 5 second. How many metre will it cover in 3 second?

(A) 200 m (B) 220 m (C) 230 m (D) 240 m.

ARITHMETIC

3

YUWAM

INDORE

v How many packets of 25 gm each will be made from 3 kg sugar?

(A) 120 (B) 100 (C) 50 (D) 25

v The cost of 5 dozen of banana is Rs. 20. A cost of 4 dozen oranges is Rs. 48. Whatwill be cost of 1 dozen of banana and 1 dozen orange?

(A) Rs. 15 (B) Rs. 16 (C) Rs. 17 (D) Rs. 18

v If a man gets his wage of Rs. 15 for 5 days, what will be his wage for 3 days?

(A)Rs.8 (B) Rs.10 (C) Rs.9 (D)Rs.12

v If A can complete a work in 30 days and B can complete the same work in 25 days,then in how many days will 'A' and 'B' together complete the work?

(A) 150days (B) 101 days (C) 55 days (D) 55 days

v A can complete a work in 12 days, whereas A and B together can complete thesame work in 9 days. How many days will it take B to complete the work?

(A) 24 days (B) 24 days (C) 36 days (D) 36 days

v A garrison having 80 inmates have food sufficient to last for 70 days. How manyinmates should leave after 10 days to ensure that the food lasts another 80 days?

(A) 25 (B) 24 (C) 20 (D) 16

v If 100 men can do 100 jobs in 100 days, then 1 man can do one job in :

(A) 1 day (B) 100 days (C) 50 days (D) 10 days

v 4 men or 7 women can do a work in 90 days. How many days will 8 men and 7 womentogether take to complete the same work?

(A) 10 days (B) 20 days (C) 25 days (D) 30 days

v Ajit can complete a job in 4 days, Manoj can complete the same job in 6 days andRavi can complete it in 12 days. In how many days will Ajit, Manoj and Ravitogether complete the same job?

(A) 2 days (B) 3 days (C) "2 day (D) 1 day

ARITHMETIC

4

YUWAM

INDORE

YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 menand 8 women do the same work?

(A) 3"2 days (B) 34 days (C) 4 days (D) 5 days

v A father is 2 times faster than his son. If the son can complete a piece of work in10 days, how long will it take for both father and son to complete the same work?

(A) 33 days (B) 3"2 days (C) 4 days (D) 4"2 days

v A father and a son working together can complete a job in 6 days. Father alone cancomplete it in 8 days. Both of them work for 3 days and then the father had toleave. How long will the son take to complete the remaining work?

(A) 24 days (B) 18 days (C) 16 days (D) 12 days

v If 12 men can finish a work in 20 days, then in how many days 15 men will completethat work?

(A) 12 (B) 16 (C) 18 (D) 20

v A and B can finish a work in 16 days while A alone can do the same work in 24days. Therefore B alone can finish the same work in how many days.

(A) 24 (B) 36 (C) 48 (D) 56

v If 12 cows eat 756 kg of grass in 7 days. How much grass will be eaten by 15 cowsin 10 days?

(A) 1,500 kg (B) 1,350 kg (C) 1,200 kg (D) 1,400 kg

ARITHMETIC

5

YUWAM

INDORE

TIME & DISTANCE

v If a man walks 8 km in 4 hours, the time taken by him in travelling a distance of24 km is :

(A) 10 hours (B) 12 hours (C) 24 hours (D) 48 hours

v A man travels a certain distance at the rate of lO km per hour and returns thesame point at the rate of l5 km per hour. His average rate for the whole journeyis :

(A) 12 kmlhour (B) 12"2kmlhour (C) 13 kmlhour (D) None of these

v In a journey of 160 km, a train covers the distance 120 km at a speed of 80kmlhour and the remaining distance at 40 kmlhour. The average speed of thetrain for the whole journey is :

(A) 60 km/hr (B) 64 km/hr (C) 68 kmlhr (D) 72 km/hr

v Walking at the rate of 4 km an hour, a man covers a distance in 2 hrs. 45 min.Running at a speed of 11 km per hour, the man will cover this much distance in:

(A) "2 hour (B) 1 hour (C) 14hour (D) 2 hours

v If a person takes as much time in running 20 metre as a car takes in covering 50mt; the distance covered by the person during the time car covers 1 km is :

(A) 100 m (B) 140 m (C) 400 m (D) 500 m

v A journey of 300 km takes two hours more, when the speed is reduced by 5km/hour, The origional speed of car (in km/hour) is:

(A) 30 (B) 40 (C) 70 (D) 80

v A motorist travels a distance of 10 km at a speed of 50 km/hour in the onwardjourney and 60 km/hour while returning. His average speed is:

(A) 54 kmph (B) 55 km/hr (C) 56 kmlhr (D) none

ARITHMETIC

6

YUWAM

INDORE

v X and Yare 15 km apart. X can walk at the speed of 14 kmlhr and Y at thespeed of 16 kmIhr. They start walking towards each other at 7 a.m. At whattime will they meet:

(A) 7.15 a.m. (B) 7.30 a.m. (C) 7.45 a.m. (D) 8.00 a.m.

v A and B are 20 km apart. A can walk at an average speed of 4 kmIhr and B atan average speed of 6 kmlhr. If they start walking . towards each other at 8a.m., at what time will they meet?

(A) 9.00 a.m. (B) 9.30 a.m. (C) 10.00 a.m. (D) 10.30 a.m.

v A police jeep is chasing a smuggler's car that is 5 km ahead. The car is travellingat an average speed of 80 km/hr and the police jeep pursues it at an averagespeed of 90 kmlhr. How long does it take for the police jeep to over take thesmuggler's car?

(A) 30 minute (B) 24 minute (C) 36 minute (D) 32 minute

v A driver who is driving his bus at an average speed of 45 kmlhr locates anotherbus 150 metre ahead of him. After 30 second he overtakes it. The averagespeed ofthe second bus is:

(A) 25 kmlhr .(B) 30 kmlhr (C) 24 km/hr (D) 27 kmlhr

v A train 600 metre long is running with a speed of 54 kmlhr. In what time will itpass a tunnel 200 metre long?

(A) 48 sec (B) 50 see (C) 53 sec (D) none

v A man travels 3/4th of the distance of his journey by bus, 1I6th by rickshawand 4 km on foot. How many km does he travel in the journey?

(A) 40 km (B) 46 km (C) 48 km (D) 50 km

v A speed of 36 km per hour is the same as :

(A) 10 m/sec (B) 12 m/sec (C) 129.6 m/sec (D) 3,600 m/sec

v A man walks from his house at an average speed of I) kmlhr and reaches hisoffice 6 minute late. Ifhe walks at an average speed of6 kmlhr he reaches 2minute early. What is the distance of the office from his house?

(A) 4 km (B) 4.5 km (C) 5.0 km (D) 5.5 km

ARITHMETIC

7

YUWAM

INDORE

v If a man walks at a speed of 5 kmlhr from his house to the railway station, hemisses the train by 5 minute. However, ifhe walks at a speed of 6 kmlhr, hereaches the railway station 6 minute before the scheduled departure time to thetrain. The distance between his house and the railway station is equal to:

(A) 5 km (B) 5.5 km (C) 6 km (D) 6.5 km

v A car moves with a speed of 80 kmlhr. What is the speed of the car in mlsec?

(A) 229 (B) 8 (C) 209 (D) none of these

v A cyclist cycles non-stop, from A to B, a distance of 14 km at a certain averagespeed. If his average speed is reduced by 1 km per hr, then he takes 1/3 hourmore to cover the same distance. The original average speed of the cyclist was :

(A) 5 kmlhour (B) 7 kmlhour (C) 6 kmlhour (D) 8 kmlhour

v A train 200 metre long is running with a speed of 70 kmlhr. In what time will itpass a man, who is running at 10 kmIhr in the same direction in which the train isgoing?

(A) 10 sec (B) 12 see (C) 14 sec (D) 16 sec

v If a train is running at 36 kmlhr takes 2 min. 20 sec. to cross a bridge, then thelength of bridge is:

(A) 1.4 km (B) 2.2 km (C) 3.6 km (D) 14 km

v A passenger train takes 3 hours less for a journey of 360 km, if its speed isincreased by 10 kmIhr from its 'usual speed, what is the usual speed?

(A) 30 kmlhour (B) 35 kmlhour (C) 36 kmph (D) none of these

v Afast train takes one hour less than a slow train for a journey of200 km. If thespeed ofthe slow train is 10 kmIhr less than that of the fast train, find thespeed of the fast train :

(A) 40 kmlhr (B) 45 km/hr (C) 50 kmIhr CD) 55 km/hr

ARITHMETIC

8

YUWAM

INDORE

YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v A plane left 40 min late due to bad weather and in order to reach its destination,1,6.90 km away in time, it had to increase its speed by 400 kmlhr from its usualspeed. The usual speed of the plane is :

(A) 600 kmlhr (3 ) 800 km/hr (C) 1,000 km/hr (D) 1,100 kmlhr

v An aeroplane takes 1 hour less for a journey of 1,200 km if its speed is increasedby 100 km/hr from its usual speed. Its usual speed I S :

(A) 275 kmlhr (B) 280 kmlhr (C) 300 kmlhr (D) 320 kmlhr

v Two trains leave a railway station at the same time. The first train travels duewest and the second train due north. The first train travels 5 kmlhr faster thanthe second train. If after two hours, they are 50 km apart. The average speedsof each train respectively are:

(A) 10 , 15 (B) 15 ,10 (C) 20 ,15 (D) 15 , 20

v If a man can row 30 km downstream and 18 km upstream, each in 3 hours, whatis the speed of boat in still water?

(A) 8 krn/hr (B) 10 km/hr (C) 12 km/hr (D) 15 kmIhr

v A boat covers 20 km downstream and 6 km upstream in 3 hours, while it cover 30km downstream and 12 ktn upstream in 5 hours. The speed of the boat in stillwater is:

(A) 6 kmlhr (B) 8 kmIhr (C) 10 km/hr (D) 12 kmlhr

ARITHMETIC

9

YUWAM

INDORE

PERCENTAGE

v 104% can be expressed as :

(A) 10,400 (B) 104 (C) 1.04 (D) NONE

v What percent is 25 paise of Rs. 100?

(A) 250% (B) 25% (C) 2.5% (D) 0.25%

v If 30% of a number is 300, then the number is :

(A) 900 (B) 10 (C) 100 (D) 1,000

v In a co-educational school 35% of the students are boys. If there are 416 girlsin the school, the number of boys in the school are :

(A) 220 (B) 224 (C) 224 (D) 230

v In an examination a candidate has to secure 40% of the marks to pass. If acandidate secures 190 marks and fails by 10 marks, the total number of marksin the examination is :

(A) 600 . (B) 400 (C) 500 (D) 360

v 40% of a number when subtracted from the number gives 30. What isthat.number?

(A) 40 (B) 70 (C) 50 (D) 80

v The population of a village is increased from 50,000 to 55,000. The percentageincrease in the population is :

(A) 5% (B) 10% (C) 20% (D) 50%

v If Ram's' salary is 50% more than Shyam's, how much percent is Shyam'ssalary less than Ram's salary?

(A) 33.5% (B) 50% (C) 15% (D) NONE

ARITHMETIC

10

YUWAM

INDORE

v If 34% of a number is 600; then 51% of the number will be :

(A) 1,600 (B) 1,200 (C) 1,000 (D) 900

v An ore contains 5% Zinc. How many kg of ore are required to get 60 kg of Zinc?

(A) 400 kg (B) 200 kg (C) 100 kg (D) 1,000 kg

v Surinder appears in an examination, in which a student has to secure 36% of themarks to pass. If he secures 198 marks and fails by 18 marks, find the totalmarks in examinatiop. :

(A) 800 (B) 600 (C)700· (D) 900

v 30% of 40% is :

(A) 35 (B) 70 (C) 0.12 (D) 0.15

v If 2 litre of water are evaporated on boiling S litre of sugar solution containing 6%of sugar, the % of sugar in the remaining solution is :

(A) 0.6% (B) O.8% (C) 6% (D) NONE

v If 10% of x is the same as 20% of y, then x :y is equal to:

(A ) 5 : 1 (B ) 1 : 2 (C)2:1 (D)10:1

v A person loses 12.5% of his money and after spending 70% of the remainder, isleft with Rs. ·840. What is his initial money?

(A) Rs. 2800 (B) Rs. 3,000 (C) Rs. 3,200 (D) none of these

v After deducting 10% from a certain sum and then 20% from the remainder, thereis Rs. 14,400 left. The originalsum is ':

(A) Rs. 18000 (B) Rs. 20,000(C) Rs. 22,000 (D) Rs. 22,250

v The population of a city is 15,00,000. It increases by 10% during 1st year,decreases by 20% in 2nd year and increases by 30% in the 3rd year. Thepopulation after 3 years is :

(A) 17,16,000 (B) 17,50,000 (C) 16,50,000 (D) 16,00,000

ARITHMETIC

11

YUWAM

INDORE

YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v If the population of a town is increased by 12% in the first year and is decreasedby 12% in the next year, then the population of the town is:

(A) 1.44% increased (B) 1.44% decreased (C) 1% decreased (D) not effected

v A man spends SO% of his income. His income is increased by 20% and hisexpenditure is also increased by 15%. What is the % increase/decrease in hissavings?

(A) 40% increase (B) 10% decrease (C) 5% increase (D) 0%

v If the price of sugar is increased by 1%, what percentage should be the reductionin the consumption so that there is no extra expenditure:

(A) 1% (B) 10% (C) 100/101 % (D) 101/100 %

v If the height of a cone is increased by 200%, then its volume will be increased by :

(A) 100% (B) 200% (C) 250% (D) 300%

v If 42% of a given number is 12.6, then the number is:

(A) 30 (B) 35 (C) 40 (D) 45

ARITHMETIC

12

YUWAM

INDORE

PROFIT & LOSS

v By selling a watch for Rs. 1,056. Ramark loses 12%. Find its cost price:

(A) Rs. 1,250 (B) Rs. 1,100 (C) Rs. 1,150 (D) Rs. 1,200

v Surabhi sold a washing machine for Rs. 9,499 at a gain of 15%. Find the costprice of the washing machine:

(A) Rs. 8,000 (B) Rs. 8,100 (C) Rs. 8,260 (D) Rs. 8,300

v A fruit seller buys mangoes at.the rate of 15 for Rs. 12 and sells them at therate ofRs. 15 per dozen. Find his gain % :

(A) 25.65% (B) 51.35% (C) 32.25% (D) 56.25%

v Raj Kumar sold 2 calculators for Rs. 990 each. On one calculator he gained 10%and on the other he lost 10%; find his gain or loss in the transaction :

(A) no loss-no gain (B) 1% gain (C) 1% loss (D) 5% loss

v Pallav buys toffees at 9 for Rs. 16 and sells them at 12 for Rs. 20. What is hisgain or loss percent?

(A)6.5%gain (B) 8.5% loss (C) 10% profit (D) NONE

v A dishonest dealer professes to sell his goods at cost price but he uses a weight of970 gm for the kg weight. Find his gain percent:

(A) 4.5% (B) 4.2% (C) 3.7 % (D) NONE

v Mickey sells a good to Minnie at a profit of 20% and Minnie sells it to Meha at aprofit of 25%. If Meha pays Rs. 450 for it, the cost price for Mickey is :

(A) Rs. 300 (B) Rs. 325 (C) Rs. 350 (D) Rs. 375

v A tape-recorder is sold for Rs. 4,950 at a gain of 10%. What would have been thegain if it had been sold for Rs. 4,800?

(A) 5.5% (B) 6.3% (C) 6.5% (D) NONE

ARITHMETIC

13

YUWAM

INDORE

v A shopkeeper buys 2 varieties of rice, one costing him Rs. 26 per kg and anotherRs. 30.50 per kg. He mixes them in the ratio of 3 : 4 and this blended variety ofrice is sold off at rate of Rs. 30 per kg. Gain % is :

(A) 2% (B) 3% (C) 4% (D) 5%

v A person bought an item and sold it at a loss of8%. Ifhe had bought it for 15%less and sold it for Rs. 142.50 more, he would have had a profit of25%, find thecost price of this item:

(A)Rs.500 (B)Rs.800 (C) Rs. 1,000 (D) Rs. 1,100

v A saree is sold a profit of20%. Ifboth the cost price and selling price are Rs. 100less, the profit wouid be 5% more. The cost price is :

(A) Rs. 100 (B) Rs. 200 (C) Rs. 300 (D) Rs. 500

v If Shubhi sells 16 articles for the same money as she pays for 20, her gainpercentage is :

(A) 20% (B) 22% (C) 25% (D) 28%

v By selling 88 m of cloth, a merchant gains the cost of 11 m of cloth. His gain %is:

(A) 11.5% (B) 12.5% (C) 13% . (D) 14%

v Mudit purchases 5 shirts and 10 trousers for Rs. 5,000. He sells the shirts at 15%profit and trousers at 10% loss. Thus he gets Rs. 375 as profit. The cost of oneshirt is :

(A)Rs.650 (B)Rs.675 (C) Rs. 700 (D) Rs. 725

v Shobit marks his goods 25% above cost price, but allows 17.5% discount for cashpayment. Ifhe sells the article for Rs. 825, find the cost price ofthe article:

(A) Rs. 800 (B) Rs. 810 (C) Rs. 820 (D) Rs. 823

v By selling a C.D. for Rs. 19.50, a shopkeeper makes a profit of 30%. By how muchshould he increase his selling price so that his profit is 40%?

(A) Rs. 2.00 (B) Rs. 1.75 (C) Rs. 1.50 (D) Rs. 1.25

ARITHMETIC

14

YUWAM

INDORE

v Ram buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profitand the cows at 20% profit, then he earns a total profit ofRs. 1,880. The cost ofa horse is:

(A) Rs. 2,500 (B) Rs. 3,000 (C) Rs. 2,000 (D) Rs. 1000 ,

v A dishonest shopkeeper claims to sell his. goods at cost price but uses a weight of800 gm in place of the standard 1 kg weight. His gain percent is :

(A) 25% (B) 20% (C) 16% (D) 8%

v A person sold an article for Rs. 230 and incurred a loss of8%. In order to earn aprofit of 8%, he should sell it for:

(A) Rs. 238.00 (B) Rs. 248.40 (C) Rs. 254.00 (D) Rs. 270.00

v The cost price of 10 articles is equal to the selling price of 9 articles. Theprofitiloss percent is:

(A) 1% (B) 10% (C) 9% (D) 119%

v A trader allows 20% trade discount and 15% cash discount. If the the sellingprice of an article is Rs. 340, then its marked price is :

(A) Rs. 435 (B) Rs. 440 (C) Rs. 450 (D) Rs. 550

v The rate percent of discount if a scooter which costs Rs. 8,000, the purchaserpaid Rs. 7,800 is :

(A) 5% (B) 2.5% (C) 1% (D) 1.5%

v The sale price of 40 articles is equal to the total printed price of 32 articles.The rate of discount is :

(A ) 5% (B) 10% (C) 12% (D) 20%

v A retailer gains 20% after allowing 10% discount on the cost price. If the costprice is Rs. 100, then selling price is :

(A) Rs. 120 (B) Rs. 108 . (C) Rs. 95 (D) Rs. 115

ARITHMETIC

15

YUWAM

INDORE

v A dealer allows 10% discount on the list price Rs. 50 of a pen and yet makes aprofit of 25%. The cost price of the pen is :

(A) Rs. 36 (B) Rs. 45 (C) Rs. 54 (D) Rs. 30

v A publisher allows 25% trade discount and 2% cash discount to the book-sellers.If he gets an order for Rs. 5,000, the net price to be paid by the book-seller.will be :

(A) Rs. 3,675 (B) Rs. 3,576 (C) Rs. 3,575 (D) Rs. 3,665

v Discount @ 10% + 10% on an article sold for Rs. 100 is:

(A) Rs. 10 (B) Rs. 15 (C) Rs. 19 (D) Rs. 20

v The printed price of an electric fan is Rs. 500. It is sold at 10% discount. Butdue to 'change of season the shopkeeper, declares 10% additional discount. Thesale price of the fan is:

(A) Rs. 455 (B) Rs. 405 (C) Rs. 450 (D) Rs. 400

v A person buys an old car for Rs. 10,000 and sells it at Rs. 12,500 less 25%discount. His gain or loss percent is :

(A) gain 6.25% (B) loss 6.25% (C) gain 4.65% (D) loss 4.65%

v Mr. X, charges the price of his goods 20% above the purchase price 'but allows10% discount actual his customers. Thus, he earns a profit ofRs. 120. Theactual purchase price is :

(A) Rs. 500 (B) Rs. 1,500 (C) Rs. 2,500 (D) Rs. 1,000

v A trader lists the selling price of an article 10% more than purchasing price. Heallows some discount and bears a loss ofl %. The rate of discount was:

(A) 11% (B) 10% (C) 9% (D) 7%

v A trader fixes the price of a radio at 20% above cost price, Ifhe allows adiscount of 5% on the list price, then his profit percentage is :

(A) 17% (B) 15% (C) 14% (D) 12%

ARITHMETIC

16

YUWAM

INDORE

v To have a profit of 14% after allowing a discount of 5%, the marked price of anarticle costing Rs. 250 must be :

(A) Rs. 300 (B) Rs. 350 (C) Rs. 325 (D) Rs. 275

v In fixing the selling price so that there may be a profit of 20% after allowing adiscount of 10%, the cost price must be raised:

(A ) 30% (B) 100% (C) 80% (D) 35%

v A merchant purchases a bicycle for Rs. 2,000 and gets a gain of 35% by sellingit though a discount of 10% is allowed. The marked price of the bicycle is :

(A) Rs. 2,500 (B) Rs. 3,000 (C) Rs. 3,500 (D) Rs. 3,600

v After giving a discount of 9% on the marked price on medicine of pharmacy, itsgain is 30%. The marked price of medicine on which the gain is Rs. 42, will be :

(A) Rs. 140 (B) Rs. 200 (C) Rs. 230 (D) Rs. 180

v A merchant allows a discount of 15% on the clothes purchased. Manohar purchasesclothes worth Rs. 470. The money he will give is:

(A) Rs. 70.50 (B) Rs. 399.50 (C) Rs. 469 CD) Rs. 270

v The list price of a sofaset is Rs. 15,750 and the shopkeeper allows a discount of10%. The amount to be paid for the sofa set to the shopkeeper is:

(A) Rs. 1,575 (B) Rs. 14,175 (C) Rs. 14,075 (D) Rs. 13,175

v A man purchased a refrigerator forRs. 9,729 at a discount of 8%. The list priceof the refrigerator is :

(A) Rs. 10,557 (B) Rs. 10,755 (C) Rs. 10,575 (D) Rs. 9,575

v A T.v. dealar sold a T.V. set for Rs. 9,506, the selling price of which was Rs.9,800. The rate of discount is :

(A) 3% (B) 4% (C) 5% (D) 6%

v A trader allows 10% trade discount and 20% cash discount. Ifthe list price is Rs.500, then selling price is :

(A)Rs.360 (B) Rs. 355 (C) Rs. 350 (D) Rs. 340

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YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v The true discount on Rs. 630 due to 4 years, hence at 5% per annum simpleinterest is :

(A) Rs. 95 . (B) Rs. 100 (C)Rs.105 (D)Rs.210

v The true discount on Rs. 10,140 due to 2 years, hence at 4% compound i~terestis :

(A)Rs.467 (B)Rs.567 (C) Rs. 657 '(D) Rs. 765

v The true discount of a bill dueB years, hence at 4% simple interest is Rs. 120.The amount ofthe bill is :

(A) Rs. 1,120 . (B) Rs. 1,020. (C) Rs. 920 (D) Rs. 2,110

v if the true discount on Rs. 322 due to 2 years 6 months hence is Rs: 42;therate of simple interest is :

(A) 2% (B) 3% (C) 4% (D) 6%.

v The true 'discount of Rs. 12,100 due .to two years, hence at 10% per annumcompound interest is :

(A) Rs. 1,000' (B)·Rs. 1,100 (C) Rs. 2,100 (D) Rs. 1,200

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RATIO & PROPORTION

v The ratio of 2.50 m and 0.75 Cm is:

(A) 3 : 10 (B) 10 : 3 (C) 1000 : 3 (D) 100 : 3

v If two cars travel 160 km and 120 km in 10 hours and 5 hours respectively,their ratio of average speed is :

(A) 2 : 3 . (B) 4 : 3 (C)4:5 (D)6:1

v What should be added to each of the numbers 12, 30, 40 and 86, so that theyare in proportion:

(A ) 6 (B)4 (C )-6 (D)-4

v Which is greater, 12 : 13 or 5 : 6 :

(A) 12 :'13 (B) 5 : 6 (C) both are equal (D) NONE

v The value of x in the given proportion is : 15 kg : 12 kg : : x : Rs. 36

(A) Rs. 45 (B) 45 kg (C) Rs. 54 (D) 54 kg

v The fourth term of the proportion 11, 7, 22 is :

(A) 12 (B) 28 ` (C) 14 (D) 26

v If 10% of x is equal to 20% of y, then x : y is equal to:

(A) 1 : 2 (B) 2 : 1 (C) 5 : 1 (D) 10 : 1

v The ratio of males and females of a village is 5 : 3. If ·there are 800 males inthe village, females are:

(A) 240 (B) 480 (C) 840 (D) NONE

v In a mixture of60 litre, the ratio of ethanol to ether is 4 : 1. How much ethermust be added to the mixture to make this ratio 2: 1?

(A) 10 litre (B) 12 litre (C) 18 litre (D) 24 litre

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v If the income of A is 10% more than that of B and the income of B is 20% lessthan that of C, then the incomes of A, Band Care, respectively in the ratio:

(A) 22 : 20 : 25 (B) 10 : 9 : 7 (C) 11 : 10 : 8 (D) 22: 18: 25

v The proportion of zinc and copper in a brass piece is 4 : 5. How much zinc will bethere in 180 kg of such a piece?

(A) 40 kg (B) 80 kg (C) 100 k% (D) 120 kg

v A mixture of 45 litre of spirit and water, contains 20% of water in it. How muchwater must be added to it to make the water 25% in the new mixture?

(A) 5 litre (B) 4 litre (C) 3 litre (D) 6 litre

v Two vessels A and B contain ether and ethanol in the ratio 5 : 2 and 4 : 1respectively. Find the ratio in which these two qualities are to be mixed to get anew mixture of ether and ethanol in the ratio 3 : 1.

(A) 5 : 7 (B) 7 : 5 (C)4:5 (D)2:3

v Ravi and Rahim are two partners in a firm sharing the profit in the ratio 4 : 5. If thefirm earns a profit ofRs. 14,130, then profit to be received by Rahim is :

(A) Rs. 6,280 (B) Rs. 7,850 (C) Rs. 1,570 (D) Rs. 3,140

v A, B and C share the profit in the ratio of 3 : 5 : 7. If the gain is Rs. 2,040, thenC's share is:

(A) Rs. 360 (B) Rs. 600 (C) Rs. 840 (D) Rs. 120

v Sheela and Johan share their profit in the ratio of 9 : 7. If in a particular yearSheela's profit is Rs. 2,700, then Johan's profit is:

(A) Rs. 2,100 (B) Rs. 900 (C) Rs. 700 (D) Rs. 6,300

v A and B take a grass ground on lease for Rs. 30'0 for grazing their animals. If Agrazes 10 animals for 5 weeks and B grazes 15 animals for 7 weeks. The ratio in whichthey should divide the rent is :

(A) 1 : 2 (B) 10 : 21 (C) 11 : 20 (D) 2 : 1

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v X, Yand Z invested Rs. 4,900, Rs. 6,300 and Rs. 7,000. If X gets Rs. 749 as profit,then Z will get:

(A) Rs. 963 (B) Rs. 1,070 (C) Rs. 2,140 (D) Rs. 2,782

v Hari and Madhu started a business investing amounts in the ratio of 2 : 3. If Hari hasan additional amount ofRs. 10,000, their ratio of investment would have been 3 : 2.The amount invested by Hari was:

(A) Rs. 8,000 (B) Rs. 12,000 (C) Rs. 18,000 (D) Rs. 20,000

v The ratio of investments of two partners A and B is 11 : 12 and the ratio oftheirprofit is 2 : 3. If A invested the money for 8 months, then the time for which Binvested the money is :

(A) 8 months (B) 9 months (C) 10 months (D) 11 months

v Mishra, Sharma and Shukla started a business with Rs. 47,000. Mishra puts in Rs.5,000 more than Sharma and Sharma Rs. 3,000 more than Shukla. The share of'Mishraout of the profit ofRs. 14,100 will be:

(A) Rs. 3,600 (B) Rs. 4,500 (C) Rs. 6,000 (D) Rs. 6,300

v A and B enter into partnership. At the end 9 months B withdraws but A' s capital is ufor one month more. If they receive profit in ratio of 5 : 6, then the ratio of theircapital .

(A) 3 : 4 (B) 4 : 3 (C) 5 : 6 (D) 6 : 5

v A, Band C hired a car for Rs. 4,160. A used for 7 hours, B used for 8 hours and Cused' for 11 hours. The rent shared by A will be:

(A) Rs. 960 (B) Rs. 1,160 (C) Rs. 1,260 (D) Rs. 1,760

v A is a working partner and B is asleep' partner in a business. A puts in Rs. 5,000 Bputs in Rs. 6,000. A received 15% of profit for managing the business and the isdivided in proportion to their capitals. amount received by A out of the profit Rs. 880in all is :

(A) Rs. 132 (B) Rs. '340 (C) Rs. 472 (D) Rs. 492

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YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v A starts a busines with Rs. 5,000. After 4 months B joins him with a sum of Rs.4,000. In the end of the year there is a profit of Rs. 8,970. The share of A in theprofit will be :

(A) Rs. 3,120 (B) Rs. 4,020 (C) Rs. 5,850 (D) Rs. 6,360

v A and B are partners in a business to which A has contributed Rs. 14,700 and B Rs.10,500; after 4 months C joins them with a' capital of Rs. 18,900. At the end of theyear, the profits are distributed in the proportion of capital invested. The ratio oftheir profit will be:

(A) 7 : 5 : 6 (B) 6 : 7 : 5 (C)5:7:6 (D)5:6:7

v In a business A andB gained some amount in a certain ratio. B and C received theprofit in the ratio as that of A and B. If B received Rs. 6,400 and C recived Rs.10,000, then the amount received by B is :

(A) Rs. 2,000 (B) Rs. 4,000 (C) Rs. 8,000 (D) Rs. 10,000

v A, Band C share the profit in the ratio of 2: 3 : 7. If the average gain is Rs. 8,000,then B's share is :

(A) Rs. 2,000 (B) Rs. 1,000 (C) Rs. 1,500 (D) Rs. 3,000

.

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S.I. & C.I.

v What is the amount ofRs. 20,000 in 9 months 'at 4% p.a. interest compoundedquarterly?

(A) Rs. 20,606.02 (B) Rs. 26,006.02 (C) Rs. 26,600.06 (D) Rs. 26,100.02

v Raj lent Rs. 16,000 to Suresh for 1~ years at 10% p.a. what is the amountSuresh paid to Raj to settle the accounts if interest is compounded half yearly?

(A) Rs. 18,511 (B) Rs. 18,522 (C) Rs. 15,811 (D) Rs. 15,118

v What sum will amount to Rs. 13,891.50 in 1.5 years at 10% p.a. interestcompounded half yearly?

(A) Rs. 11,000 (B) Rs. 11,500 (C) Rs. 12,000 (D) Rs. 12,500

v At what rate percent compound interest Rs. 1 800 amounts to Rs. 926.10 in 1'2years interest compounded semi-annually?

(A) 8% p.a. (B) 10% p.a. (C) 12% p.a. (D) 14% p.a.

v If the compound interest on a sum for 2 years at 12.5% be Rs. 3,400. The simpleinterest will be :

(A) Rs. 3,200 (B) Rs. 3,100 (C) Rs. 3,000 ~D) Rs. 2,900

v The difference between compound interest and simple interest on a certain sum ofmoney in 2 years at 5% p.a. is Rs. 12.50. Find the sum :

(A) Rs. 5,000 (B) Rs. 2,500 (C) Rs. 300 (D) Rs. 6,000

v On what sum of money does the difference between compound and simple interestfor '3 years at 10% p.a. amounts to Rs. 124?

(A) Rs. 3,000 (6 ) Rs. 4,000 (C) Rs. 5,000 (D) Rs. 3,500

v I lent Rs. 75,000 for 3 years. If I got 4%, 5% and 10% in 1st, 2nd and 3rdyear, find the amount I got after 3 years?

(A) Rs. 90,000 (B) Rs. 90,909 (C) Rs. 90,090 (D) Rs. 99,009

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v At what rate percent compound interest does a sum of money become fourfold in 2years?

(A) 50% (B) 100% (C) 200% (D) 400%

v A sum of money doubles itself at compound interest, compounded annually in 15years. In how many years will it become 8 times, the remaining rate the same?

(A) 40 years (B) 45 years (C) 50 years (D) 55 years

v If the total compound interest earned after 2 years at the rate of 12% per annumis Rs. 134.40, then the principal amount is :

(A) Rs. 1,200 (B) Rs. 1,100 (C) Rs. 528.30 (D) Rs. 900 (CDS, 2000)

v In how many years will a sum of Rs. 1,500 yield an interest ofRs. 1,080 at 12percent per annum?

(A) 5 years (B) 5.25 years (C) 5.5 years (D) 6 years

v The principal which yields an interest of Rs. 2,500 in 2.5 years at 10% perannum at simple interest is :

(A) Rs. 8,000 (B) Rs. 9,000 (C) Rs. 10,000 (D) Rs. 11,000

v A man borrowed a sum at 15% simple interest. He paid Rs. 2,250 as interestafter 5 years, The sum borrowed by him is :

(A) Rs. 5,000 (B) Rs. 4,500 (C) Rs. 4,000 (D) Rs. 2,500

v Ram lent some money at 4% simple interest and in 8 years. The interestamounted to Rs. 680 less than the sum lent. The sum lent is :

(A) Rs. 800 (B) Rs. 1,000 (C) Rs. 1,200 (D) Rs. 1,400

v What is the sum which amounts to Rs. 1,460 in 4 years at simple interest rateof 11.5% :

(A) Rs. 800 (B) Rs. 1,000 (C) Rs. 1,200 (D) Rs. 1,300

v The simple interest on a certain sum of money @ 5% per annum for 3 years isRs. 300. Fine;! the sum:

(A) Rs. 3,000 (B) Rs. 1,500 (C) Rs. 2,000 (D) Rs. 1,000

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YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v The simple interest on a certain sum of money @ 5% per annum for 8 years isRs. 840. At what rate of interest the same amount of interest can be receivedon the same sum after 5 years?

(A) 10% (B) 9% (C) 8% (D) 6%

v A man earns Rs. 225 as an interest in 2 years on a certain sum invested with acompany at the rate of 10 percent per annum. Find the sum invested by the manin the company:

(A) Rs. 1,100 (B) Rs. 1,125 (C) Rs. 1,150 (D) Rs. 1,175

v The simple interest on a sum ofRs. 2,250 at 18% per annum fo; 219 days is :

(A) Rs. 324 (B) Rs. 423 (C) Rs. 234 (D) Rs. 243

v A sum of Rs. 7,800 is lent out in 2 parts in such a way that the interest on onepart at 10% for 5 years is equal to that on the other part at 9% for 6 years.The sum lent out at 10% is :

(A) Rs. 4,050 (B) Rs. 3,750 (C) Rs. 4,500 (D) Rs. 3,300

v The simple interest on the sum of money is 1116 of the principal and the numberof years is equal to the rate percent per annum. The rate percent is:

(A) 2% (B) 2.5% (C) 3% (D) 4%

v What is the compound interest on Rs. 6,250 at 4% p. a. compounded annuallyfor 3 years?

(A) Rs. 780.40 (B) Rs. 789.00 (C) Rs. 788.80 (D) Rs. 780.40

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ALLIGATION

v A milk seller bought some milk at the rate of Rs. 16 per litre. He mixed waterONE 4th of it and sold the mixture at the cost price. Assuming the price ofwater as Re. 0.00 per litre. The gain % is:

(A) 16% (B) 20% (C) 25% (D) none of these

v In a mixture of 35 litre, the ratio of milk and water is 4 : 1. If 7 litre of wateris added to mixture, then the new ratio will be :

(A ) 2 : 1 (B ) 1 : 2 (C)3:2 (D)2:3

v A variety of rice at Rs. 14 per kg is mixed to 15 kg of another variety rice atRs. 20 per kg, so as to make a mixture worth Rs. 16.50 per kg. The quantity ofrice at Rs. 14 per kg must be:

(A) 5 kg (B) 7 kg (C) 15 kg (D) 21 kg

v Asum ofRs. 232 is made up of672 coins which are either 50 paise or 25 paisecoins. The number of 50 paise coins is :

(A) 256 (B) 334 (C) 416 D) 464

v A painter mixes blue paint with white paint so that the mixture contains 10% bluepaint . In a mixture of 40 litre paint, x litre of blue paint is added so that themixture contains 20% of blue paint. The value ofx (in litre) is:

(A) 2 (B)3 (C)4 (D)5

v A container has 84 litre of mixture consisting of milk and water in the ratio of5: 2. To make this ratio 2 : 1, the quantity of more water required to be addedwill be

(A) 2 litre (B) 4 litre (C) 6 litre (D) 8 litre

v Ramesh has Rs. 3,600. He invests a part of it at 3% per annum and theremaining at 5% higher rate of simple interest. He gets in all Rs. 540 at the endof 3 years. The sum invested at 3% per annum is :

(A) Rs. 1,440' (B) Rs. 2,000 (C) Rs. 2,160 (D) Rs. 2,200

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v The average salary per head ofthe entire staff of an office, including officersand the clerks is Rs. 9,000 per month. The average salary of the officers is Rs.60,000 per month and that of clerks is Rs. 8,400. If the number of officers andclerks is 1,032, the number of officers is:

(A) 12 (B) 15 (C) 16 (D) 18

v A container contains 10 litre mixture in which there is 10% sulphuric acid. Tomake the solution to contain 25% sulphuric acid, the quantity of sulphuric acid tobe added in it, is:

(A) 1 litre (B) 2 litre (C) 3Iitre .(D) 4 litre

v A milkman has two types of milk. In one, the percentage of water is 10 and inthe second the percentage of water is 20. Ifhe takes 90 litre of milk of type Iand 60 litre of milk of type II and prepares a new mixture, the percentage ofwater in this new mixture is :

(A) 12% (B) 14% (C) 15% (D) 19%

v A motor cyclist completes a certain journey of 360 Ian in 5 hours. He covers onepart at 60 kmlhour and the rest at 80 kmlhour. The distance covered at 60kmlhour is :

(A) 120 km (B) 150 km (C) 240 km (D) 300 kID

v The expenditure and savings of an employee are in the ratio of 3 : 1. His incomeincreases by 16% but at the same time his expenditure also increases by 20%.The increase or decrease in his savings is :

(A) increase 4% (B) decrease 4% (C) increase 3% (D) decrease 3%

v Wages of 14 persons are Rs. 33 thousand. Each man gets Rs. 3 thousand andeach woman gets Rs. 1.5 thousand. The number of men is :

fA) 6 (B) 8 (C) 10 (D) 12

v A mixture contains sugar and water in the ratio of 3 : 49. If it contains 0.45 kgof sugar, the quantity of water in the mixture is :

(A) 7.35 kg (B) 3.75 kg (C) 7.53 kg (D) 3.57 kg

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YUWAM – INDORE

222, SRINAGAR EX. NEARL.I.G. (M.P.)

PH: 0731-4037754,9826074776

v A heard of 2legged and 4 legged animals give a head count as 100. When legsare counted, it comes to be 320. The number of 2 legged animals is :

(A) 30 (B) 40 (C) 60 (D) 80

v A mixture of 45 litre of spirit and water contains 20% of water in it. The waterto be added to make the water 25% in the new mixture is:

(A) 5 litre (B) 4 litre (C) 3 litre (D) 6 litre

v A vessel contains mixture of liquids A and B in the ratio of 3 : 2. When 20 litreof the mixture is taken out and replaced by 20 litre of liquid B, the ratiochanges to 1 : 4. The quantity of liquid A initially present in the vessel was:

(A) 18 litre (B) 28 litre (C) 30 litre (D) 32 litre

v Two vessels A and B contain ether and ethanol in the ratio of 4 : 5 and 5 : 1respectively. The ratio in which these two quantities are to be mixed to get anew mixture of ether and ethanol in the ratio of 5: 4 is:

(A)5:2 (B) 4: 3 (C) 2: 5 (D) 3 : 4

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AVERAGE

v The heights of 7 buildings are 12 m, 13 m, 14 in, 15 m, 16 m, 17 m and 18 m.The average height of7 buildings is :

(A) 15 m (B) 16 m (C) 17m (D)18m

v The average of even numbers from 1 to 20 is :

(A) 12 (B) 11 (C) 10 (D) 110

v If a, b, c, d- and e are five consecutive odd numbers, then their average is :

(A ) b (B ) c (C) d (D) none ofthese

v The mean of 15 observations is 15. If 3 is subtracted from each observation, thenew mean is:

(A) 45 (B) 18 (C) 12 (D) 5·

v The sum of the deviations of the values 2, 3, 4,5,6,7,8 from their mean is:

(A ) 0 (B ) 2 (C ) 3 (D ) 16

v The average of x, x + 2, x + 4', x + 6 and x + 8 is 7. Then the value of x is :

(A) 3 (B )9 (C)5 (D) 7

v The average height of 10 students is computed as 153 cm. But it was found lateron that 151 em was wrongly read as 141 em. The correct average height is:

(A) 155 em (B) 154 em (C) 152 cm (D) 151 em

v In a certain factory a unit of work is completed by A in 4 minute, by Bin 5minute, by C in 6 minute, by Din 10 minute and by E in 12 minute. Their averageof work per minute is:

(A) 0.8 unit (B) 0.61 unit (C) 2.88 unit (D) none of these

v Mr. X purchased 13 bags at the rate ofRs. 50 per bag, 15 bags at the rate ofRs. 60 per bag and 12 bags at the rate ofRs. 65 per bag. The average price perbag is :

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(A) Rs. 58.25 (B) Rs. 40.25 (C) Rs. 60 (D) Rs. 62

v The average monthly expenditure of a person during the 11 months was Rs. 350.In the last 12th month, he spentRs. xas a result of which the average monthlyexpenditure was increased by Rs. 30. The amount (Rs. x) spent by him in the lastmonth is :

(A)Rs.710 (B)Rs.620 (C).Rs. 170 (D) Rs. 260

v The average of 15 numbers is 15 and the average of the first 8 numbers is 8.The average ofthe last 7 nwnbers is :

(A ) 15 (B ) 8 (C ) 7 (D ) 23

v Of the four numbers the average of the first three is 30 and of the last three is32. If the last number is 38, then first number is :

(A) 28 (B) 32 (C) 36 (D) 40

v The average of 20 terms is 30. If 10 is added in each first 10 terms and 1 issubtracted from each last terms, then the new average is :

(A) 42.5 (B) 39.0 (C) 34.5 (D) 30.0

v If average of 5, 10, 15,p, 20, 35, 40 is 21, then the value of p is :

(A) 18 (B) 22 (C) 25 (D) 30

v If the average of27, 23, x - 4, x + 4,15,3 and 7 is 15, then the value of x is: '

(A) 11 (B) 19 (C) 13 (D) 15

v The average of four numbers is 30. If the sum of first three numbers is 85, thenthe fourth number is:

(A) 30 (B) 35 (C) 55 (D) 45

v The present ages of A and Bare 17 years and 24 years respectively. The averageof their ages after 7 years will be :

. (A) 20.5 years· (B) 27.5 years (C) 34.5 years (D) 39.5 years

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v The average temper atu re of Monday, Tuesday and Wednesday of a week was45·C and average temperature of Tuesday, Wednesday and Thursday was 46·C.If temperature on Thursday was 4TC, the temperature on Monday was:

(A) 42·C (B) 43·C (C) 44·C (D) 45·C

v The average weight of 24 students of section A of a class is 45 kg. The averageweight of26 students of section B of the same class is 50 kg. Then the averageweight of all the 50 students oftl}e class is :

(A) 47.0 kg (B) 47.5 kg (C) 47:6 kg (D) 48.0 kg

v 5 years ago, the average age of a family of 3 members was 28 years. A child hasbeen born, so the average age of the family is 25 years today. The present ageofthe child is :

(A) 1 year (B) 2 years (C) 3 years (D) 4 years

v The average of 100 values is 50. Two values 60 and 70 were left out at the timeof calculating the sum ofthe values. The correct average will be :

(A) 49.3 (B) 50.3 (C) 51.3 (D) 52.3

v If the average of 5 observations x, x + 2, x + 4, x + 6, x + 8 is 11, then theaverage of the last three observations is :

(A) 11. (B) 13 (C) 15 (D) 17

v The average age 6 students and their teacher is 12 years, which is reduced by 5years if the teacher be excluded. The age ofthe teacher is (in years) :

(A) 42 (B) 45 (C) 50 (D) 56

v The average marks obtained by 60 students in an examination is 70. If theaverage mark of passing students is 78 and that of the failing students is 30,the number of students passed the examination is :

(A) 35 (B) 40 (C) 45 (D) 50

v Manohar purchased 4 books for Rs. 30 each, 5 books for Rs. 48 each and 6books for Rs. 80 each. The average purchase price of the books is :

(A) Rs. 56 (B) Rs. 60 (C) Rs. 63 (D) Rs. 66

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v The average age of 8 persons is 87 years. Of these the age of oldest is 2 yearsmore than the one next. If these two persons are ignored, then the average ageof the remaining 6 persons is 85 years. The age of the oldest . person is (inyears) :

(A) 90 (B) 94 (C) 96 (D) 98

v The average age of three boys is 15 years. If their ages are in the ratio of 3 :5 : 7, then the age of youngest boy is :

(A) 9 year.s (B) 15 years (C) 21 years (D) 36 years

v The average of 25 observations is 28, that of first 12 is 24 and of last 12 is27. The thirteenth observation is :

(A) 65 (B) 75 (C) 78 (D) 88

v Out of four numbers, the average of first three is 15 and that of last three is16. If the last number is 19, then first number is:

(A) 10 ` (B) 12 (C) 14 (D) 16

v The average weight of three men A, Band C is 84 kg. Another man D joins themand the average now becomes 80 kg. If another man E, whose weight is 3 kgmore than that of D replaces A, then the average weight of B, C, D and Ebecomes 79 kg. The weight of A is :

(A) 75 kg (B) 65 kg (C) 7.0 kg (D) 80 k~

v The average of the squares of first 5 natural numbers is:

(A) 3 (B) 11 (C) 22 (D) 55

v Of the three numbers, the average of the first and the second is greater thanthe average of the second and third by 15. The difference between first andthird of the three numbers is:

(A) 30 (B) 15 (C)45 (D) 60

v A shop of electronic goods is closed on Monday. The average sales per day forremaining six days. of a week is Rs. 15,640. If the average sale of Tuesday toSaturday is Rs. 14,124, then sales on Sunday was:

(A) Rs. 23,220 (B) Rs. 20,188 (C) Rs. 21,704 (D) Rs. 17,257

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v Suppose the average weekly pay of five workers is Rs. 600 and if one of theworkers gets a pay rise ofRs. 100 per week, then the new average is :

(A) Rs. 600 (B) Rs. 700 (C)Rs.580 (D)Rs.620

v Four persons A, B, C, D agree with a fifth person E to collect a certain sum.They subscribe Rs. 15 each and, E is to pay Rs. 4 more than the average of allthe five. The subscription of E is : .

(A) Rs. 10 (:8) Rs. 15 (C) Rs. 20 (D) Rs. 25

v Average run made in a cricket match in 10 games is 52. There was no run in thelast game. If 100 runs were made in the last game, then average is :

(A) 62 runs . (B) 52 runs (C) 40 runs (D) 50 runs

v The ratio between the present ages of X and Y is 4 : 5. The ratio between thepresent age of X and the age of Y before 3 years is 7 : 8. The ratio betweenthe present age of X and his age after 7 years will be :

(A)5:4 (B)8:7 (C)7:8 (D)4:5

v The ratio between Rahim's and Karim's ages two years- ago was 3 : 2 and atpresent it is 7 : 5. The r::-esent age of Karim is :

(A) 10 years (B) 14 years (C) 12 years (D) 16 years

v The sum of the ages of Ram and Shyam is 40 years. 5 years hence, the ratio oftheir ages will be 3: 7. The age of Ram is:

(A) 10 years (B) 30 years (C) 15 years (D) 25 years

v The ratio of ages of the mother and her daughter is 12 : 5. The difference oftheir ages is 28 years. The ratio between the present age of the mother andthe age of the daughter 4 years after will be :

(A ) 2 : 1 (B ) 1 : 2 (C)3:2 (D)2:3

v The ratio of present ages of Mahesh and Dinesh is 7 : 8. If 4 years ago theratio of their ages be 5 : 6, then present age of Dinesh is :

(A) 10 years (B) 12 years (C) 14 years (D) 16 years

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v Six years back Seema was half that of Rupa in age. Four years hence, therespective ratio of their ages would be 3 : 5. The present age of Rupa is:

(A) 46 years (B) 40 years (C) 32 years (D) 16 years

v The ratio of ages of' A and B at present is 13 : 7. The ratio of their ages 6years before was 2 : 1. The difference of their ages is :

(A) 12 years (B) 24 years (C) 36 years (D) 42 years

v Sanjay says to Hemendra, "I am twice as eld as you were when 1 was as old asyou are." The sum of their present ages is 63 years. The present age of Sanjayis : .

(A) 27 years (B) 30 years (C) 36 years (D) 40 years

v The age of a man is three times the sum ofthe ages of his two sons. After 5years hence, his age will be double the sum of their ages. The present age ofthe man is:

(A) 35 years (B) 45 years (C) 53 years (D) 54 years

v A father says to his son, "7 years ago my age was 7 times of your age at thattime and after 3 years my age will be thrice of your age." The present ageofthe son is :

(A) 12 years (B) 15 years (C) 21 years (D) 24 years

v 15 years hence, Karim will be just four times as old as he was 15 years ago. Hispresent age is:

(A) 15 years (B) 25 years (C~ 35 years (D) 40 years

v Ten years ago, Johan was one-third of Mohan in age. If the ratio of theirpresent ages is 5 : 3, then the total of their present ages is :

(A) 35 years (B) 40 years (C) 45 years (D) 50 years

v A father tells his son, "I was your present age when you were born. If thefather is' 58 now, the age ofthe son 5 years ago was:

(A) 24 years (B) 26 years (C) 28 years (D) 30 years

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v A mother has 3 sons and they were born at an interval of3 years. The total ageofthe three sons is 24 years. The age ofthe youngest son is:

(A) 5 years (B) 6 years (C) 8 years (D) 11 years

v At the time of their marriage the husband was 7 years older than his wife.After one year of their marriage, the ratio of their ages was 4 : 3. The age ofhusband at the time of marriage was :

(A) 20 years (B) 27 years (C) 34 years (D) 41 years

v The average age of 6 children is 7 years. If their father's age is taken intoaccount the average age increases by 5 years. Father's age is:

(A) 42 years (B) 48 years ,(C) 44 years (D) 56 years

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DATA INTERPRETATIONDirections : These questions are based on the data given in the following tableshowing investments made by the five companies over the year (in lakh of rupees) :

Years 1998 1999 2000 2001 2002

Company

I 20 21 50 35 75

II 29 31 23 46 42

III 31 29 27 22 16

Iv 33 14 33 37 48

V 15 17 32 39 47

Total 128 112 165 179 228

v Which company made more than 25 percent of the total investment made by allthe companies in 2001?

(A) I (B) II (C) Iv (D) None ofthese

v For which company, has the amount of investment made increased continuouslyover the years?

(A) I (B) II (C) III (D) V

v For which company, has the amount of investment made decreased continuouslyover the years?

(A ) V (B ) I v (C) III (D) None of these

v In which year, the amount of investment made was the least as compared toaverage investment made by all the companies over the years?

(A) 1998 (B) 1999 (C) 2000 (D) None of these

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v In which year, the percentage change in the total amount of investment made isthe highest over its immediately preceding year?

(A) 2002 (B) 2000 (C) 2001 (D) None of these

Directions : Answer the questions on the basis ofthe following table:

Assume all colleges sent equal number of candidates in all subjects for theexamination.

Percentage of Results for Subjects

College Maths Physics Chemister Zoology Botany

A 52 65 62 47 40B 47 62 52 35 38C 53 70 46 54 39D 35 72 58 62 57

v Taking all the colleges into account which subject has shown highest percentageresult?

(A) Chemistry (B) Maths (C) Zoology (D) Physics

v Taking the performance in all the subjects into account which college has shownhighest level of percentage results?

(A) D (B)A (C) B (D) C

v Seeing the performance of all the four colleges together which combination ofgroups has shown lowest level of percentage results?

(A) Zoology,Botany (B) Physics,Chemistry (C) Maths,Physics (D) Chemistry,Botany

v Taking all the colleges into account which subject has shown lowest percentageresult?

(A) Maths (B) Physics (C) Chemistry . (D) Botany

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v Taking the performance in all subjects into account which college has shownlowest level?

(A ) A (B ) B (C ) C (D ) D

Directions : From the data given in the following table, answer these questions:

Election Turnout Rates (%) from 1901 to 1981 in India

Year Voters Females Males1901 51.2 38.7 60.81911 53.6 41.2 63.61921 49.7 40.7 50.91931 47.3 51.6 39.61941 41.8 56.7 32.71951 43.8 54.2 38.61961 39.1 59.6 33.7

I1971 34.7 48.4 31.61981 38.6 51.4 37.3

v On how many occasions did the total turnout rate increase?

(A ) 4 (B ) 3 (C ) 2 (D ) 5

v IN the given data, the total turnout rate was the maximum in :

(A) 1911 (B) 1921 (C) 1961 (D) 1931

v The maximum increase in the total turnout rate during any decade over theprevious one is:

(A) 1.5 (B) 2.4 (C) 4.0 (D) 3.9

v Which of the following is true?

(A) The increase in the rate of turnout for any decade over the previous one duringthe pre-independence period is lower than that during the post-independence period.(Assume that the independence was achieved in 1947)

(B) The total turnout rate decreased continuously

(C) Male turn out was less than one-third of the female population for entire Data

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(D) None of the above

v In the given data, the total turnout rate was the minimum in :

(A) 1971 (B) 1981 (C) 1961 (D) 1941

Directions: Loan disbursed by five banks (in Rs. crore) are given in the table below:

Banks Year1990 1991 1992 1993 1994

A 18 23 45 30 70B 27 33 18 41 37C 29 29 22 17 11D 31 16 28· 32 43E 13 19 27 34 42

v In which year was the distribution ofloans of all the banks put together leastcompared to the average disbursement of loans over the years?

(A) 1990 (B) 1991 (C) 1992 (D) 1994

v What was the percentage increase of disbursement of loans of all the bankstogether from 1992 to 1993?

(A) 110% (B) 14% (C) 10% (D) 11%

v In which year was the disbursement ofloans of banks A and B exactly equal tothe total disbursement ofloans of banks D and E?

(A) 1991 (B) 1992 (C) 1994 (D) None

v If the minimum target in the succeeding year was 20% of the total disbursementof loans, then how many banks reached the target in 1991?

(A ) 1 (B ) 2 (C ) 3 (D ) 4

v By what percent did the loan disbursement increase from 1990 to 1994?

(A) 72 (B) 82 (C) 94 . (D) 91

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Directions : These questions are based on the following table. The table shows thenumber of emergencies attended by 6 fire brigade substations during May-October2002 :

Substation May June July August SeptemberOctober

A 12 15 17 21 13 17B 18 21 15 18 18 19C 10 11 19 21 23 18D 17 17 1~ 12 18 10E 12 15 18 10 21 11F 14 15 12 13 18 19

v Number of emergencies attended by the 6 substations was the same in themonths of:

(A) May ,June (B) June , July (C) August , September (D) June , October

v Which of the following substations showed a greater increase in the number ofemergencies attended in August as compared to July?

(A ) A (B ) E (C ) D (D ) C

v Which substation attended to the maximum number of complaints in the givenperiod?

(A ) A (B ) B (C ) C (D ) F

v Which two months aggregated over 36% of the total number of emergencies inthe six-month period?

(A) May ,June (B) July ,October (C) August ,September (D) July ,September

v Which substation attended to the minimum number of complaints in the givenperiod?

(A ) A (B ) C (C ) E (D ) F

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Directions: Following six questions are on the basis of the following table which givesdata year-wise and discipline-wise for candidates selected in industry (in thousands)

DisciplineYears

1991 1992 1993 1994 1995 1996

Science 16 20 25 15 14 16Arts 4 8 9 10 11 13Commerce 8 12 12 11 15 13Law 7 9 5 3 6 8

ComputerScience 10 14 18 20 25 30Others 1 1 2 1 • 1 1Total 46 64 71 60 72 81

v In which year for the first time, Computer Science discipline constituted morethan 25% of the selected candidates? .

(A) 1991 (B) 1992 (C) 1993 (D) 1994

v Which discipline showed the greatest decline between 1992 and 1994 selections?

(A) Science (B) Computer Science (C) Arts (D) Law

v In which year the percentage of Science discipline candidates was the highest?

(A) 1991 (B) 1992 (C) 1993 (D) 1994

v Which discipline has shown the greatest rate of increase in its selection from1994 to 1996?

(A) Arts (B) Computer Science (C) Law (D) Commerce

v For which discipline, the total recruitment for all the 6 years is closest to thetotal recruitment for any year?

(A) Arts (B) Computer Science (C) Law (D) Commerce

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Directions: Study the following table to answer the given questions:

Notifications of transmissible infectious diseases over the years

(Rate per 1,00,000 inhabitants)

Total

TYphoid Hepatitis

1995 88 46 271996 126 60 441997 124 60 471998 211. 109 861999 192 122 562000 165 99 572001 144 98 392002 191 96 86

v Which year 18 the mcrease in rate from the previous year for hepatitis is themaximum?

(A) 1998 (B) 1996 (C) 1997 (D) 2002

v Which year is the percentage of typhoid out of the total the highest?

(A) 2001 (B)-1998 (C) 1999 (D) 2002

v If the population in 1998 was 2.75 crore, how many cases of hepatitis werenotified?

(A) 2,365 (B) 2,36,500 (C) 23,650 (D) None ofthese

v In 1999, what was the rate of other 11 diseases except for typhoid?

(A) 14 (B) 66 (C) 56 (D) 136

v What is the difference in the average rate for the given years betweenhepatitis and typhoid?

(A) 2.525. (B) 31 (C) 55.25 (D) None of these

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Directions: Study the following chart to answer the questions given below :

Village% population. below

poverty line

Rampur 35

Maheshpur 40Narayanpur 38Dinapur 45Laxmipur 32

Proportion of Population of five villages in 2004

v In 2005, the population of Rampur as well as . Dinapur is increased by 12% fromthe year 2004. If the population of Rampur in 2004 was 4,000 and thepercentage of population below poverty line in 2005 remains the same as in 2004,find approximately the population of Dinapur below poverty line in 2005 :

(A) 1,510 (B) 1,520 (C) 1,500 (D) 1,550

v If in 2006 the population of Maheshpur is increased by 8%, the population of Narayanpur is reduced by 10% from 2004 and the population of N arayanpur in2004 was 7,000, what will be the total population of Maheshpur and Narayanpurin 2006?

(A) 11,550 (B) 11,484 (C) 11,200 (D) 12,285 (E) 11,490

v Ifin 2004 the total population of five villages together was 35,000approximately, what will be population of Narayanpur in that year below povertyline?

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(A) 4,600 (B) 4650 (C) 4,665 (D) 4655 (E) 4,675

v If the population of Laxmipur below poverty line in 2004 was 1,240, what wasthe population of Maheshpur in 2004?

(A) 4,600 (B) 4,650 (C) 4,750 (D) 4,660 (E) 4,720

v If the population of Narayanpur is 6,300 in 2004, what will be the ratio of thepopulation of Narayanpur below poverty line to that of Maheshpur below povertyline in that year?

. (A) 133 : 96 (B) 122 : 95 (C) 96 : 133 (D) 233 : 96 (E) 133 : 95

Directions: Answer the questions based on the following graph:

Revenue obtained by a publishing house while selling books, magazines and journals(Rs. in lakh).

I!§lIJournals ~Magazjnes DSooks

v Which year shows the highest change in revenue obtained from journals?

(A) 1989 (B) 1990 (C) 1991 (D) 1992

v In 1992, what per cent of the total revenue came from books?

(A) 45% (B) 55% (C) 35% (D) 25%

v The number of years in which there was an increase in revenue from at least twocategories is?

(A ) 1 (B) 3 (C) 2 (D) 4

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YUWAM – INDORE

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v If 1993 were to show the same growth as 1992 over 1991, the revenue in 1993must be :

(A) Rs. 194 lakh (B) Rs. 187lakh (C) Rs. 172lakh (D) Rs. 177 lakh

v The growth in total revenue from 1989 to 1992 is:

(A) 21% (B) 28% (C) 15% (D) 11%