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Page 1: | No. 1 APP for Banking & SSC Preparation Website: Email eggs he sold at 3.20 rupees per egg. If he had spent 16 rupees on other expenses, find his profit or loss percentage. (a) 22

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Page 2: | No. 1 APP for Banking & SSC Preparation Website: Email eggs he sold at 3.20 rupees per egg. If he had spent 16 rupees on other expenses, find his profit or loss percentage. (a) 22

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Directions (1-5): Find out the approximate value which should replace the question mark (?) in the

following questions. (You are not expected to find out the exact value)

Q1. 447.75 ÷ 28 × 4.99 = ?

(a) 60

(b) 70

(c) 72

(d) 80

(e) 75

Q2. 1679 ÷ 14.95 × 5.02 = ?

(a) 540

(b) 525

(c) 545

(d) 560

(e) 520

Q3. 5237.897 – 6629.010 + 7153.999 – 2205.102 = ?

(a) 6340

(b) 4688

(c) 5240

(d) 3558

(e) 6290

Q4. 459% of 849.947 + 266.5% of 6284.012 – 1486.002 = ?

(a) 20330

(b) 12640

(c) 15000

(d) 22160

(e) 19140

Q5. (9321 + 5406 + 1001) ÷ (498 + 929 + 660) = ?

(a) 13.5

(b) 4.5

(c) 16.5

(d) 7.5

(e) 10.5

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Directions (6-10): Read the following table carefully and answer the questions given below.

Percentage increase in population of 6 villages from 2002 to 2003 and from 2003 to 2004

Actual total population of these villages in 3 different years.

Years

Village 2002 2003 2004

A – – 3750

B – 1980 –

C – – 1518

D – – –

E 1250 – –

F 1200 – –

Q6. What is the ratio of total population of village E in 2004 to village A in 2002?

(a) 41:50

(b) 37:45

(c) 48:31

(d) 44:53

(e) 39 : 50

Q7. Total population of village A in 2002 is what percent more than total population of village C in

2002? (round off to 2 decimal Places)

(a) 129.27%

(b) 127.27%

(c) 135%

(d) 123.37%

(e) 127.72%

0

5

10

15

20

25

30

35

40

A B C D E F

2002 to 2003 2003 to 2004

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Q8. Ratio of Total population of village C and D in 2002 is 22:27 respectively, what will be total

population of village D in 2004?

(a) 1350

(b) 2108

(c) 1250

(d) 2106

(e) None of these

Q9. The total population of F in 2002 is approximately what percent of the total population of same

village in 2004? (round off to 2 decimal places)

(a) 53.26

(b) 59.38

(c) 49.38

(d) 57.38

(e) 59.26

Q10. Total population in 2002 of all villages together is approximately what percent less than the

total population in 2004 of all villages together?

(a) 33

(b) 39

(c) 37

(d) Can’t be determined

(e) None of these

Directions (11-15): What should come in place of the question mark (?) in the following number

series?

Q11. 3, 52, 88, 113, 129, ?

(a) 148

(b) 142

(c) 133

(d) 145

(e) 138

Q12. 2, 3, 8, ?, 112, 565

(a) 36

(b) 14

(c) 27

(d) 45

(e) 54

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Q13. 6, 4, 8, 23, ?, 385.25

(a) 84.5

(b) 73

(c) 78.5

(d) 82

(e) 86

Q14. 8, 64, 216, 512, ?, 1728

(a) 729

(b) 1331

(c) 684

(d) 1000

(e) 1004

Q15. 1, 1, 2, 6, 24, 120, 720, ?

(a) 4050

(b) 5060

(c) 5040

(d) 6050

(e) 4455

Q16. The strength of a school increases and decreases in every alternate year by 10%. It started in

2000 and increases in 2001, then the strength of the school in 2003 as compared to that in 2000 was:

(a) increased by 8.9%

(b) decreased by 8.9%

(c) increased by 9.8%

(d) decreased by 9.8%

(e) increase by 7.8%

Q17. A spider climbed 𝟔𝟐𝟏

𝟐% of the height of the pole in one hour and in the next hour it covered

𝟏𝟐𝟏

𝟐% of the remaining height. If pole’s height is 192 m, then the distance climed in second hour is

(a) 3 m

(b) 5 m

(c) 7 m

(d) 9 m

(e) 12 m

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Q18. The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by

10% in next one hour, remains constant in next one hour and again increases by 5% per hour in

next two hours. If the original count of the red blood cells in the sample is 40000, find the

approximate red blood cell count at the end of 6 hours.

(a) 40000

(b) 45025

(c) 48025

(d) 50025

(e) 52025

Direction (19-22): Read the passage below and solve the questions based on it.

India is supposed to send its boxing team for Olympics in each of the following 10 weight group

divisions.

A (48 kg – 52 kg) B (52 kg – 56 kg)

C (56 kg – 60 kg) D (60 kg – 64 kg)

E (64 kg – 68 kg) F (68 kg – 72 kg)

G (72 kg – 76 kg) H (76 kg – 80 kg)

I (80 kg – 84 kg) J (84 kg – 88 kg)

After selecting one player from each group, their average weight comes out to be 68 kg. If one of the

players named X leaves the team, their average weight comes down to 66.5 kg.

Q19. Player X is from group

(a) A

(b) E

(c) I

(d) H

(e) J

Q20. If X leaves the team, and two new players join the group, then their average weight increases

to 68 kg. These players can be from group …………

(a) A, C

(b) D, J

(c) Both from G

(d) Either (b) or (c)

(e) Both from I

Q21. What is the average weight (in kg) of all the players taken

together?

(a) 56.7

(b) 58.8

(c) 61.4

(d) Cannot be determined

(e) 67.5

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Q22. In the average of all the group together, which group contributes most in overall average?

(a) F

(b) G

(c) H

(d) Cannot be determined

(e) J

Q23. From 2000 onwards, till 2003 the price of computers increased every year by 10%. After that

due to government subsidy the price of computers decreases every year by 10%. The price of a

computer in 2006 will be approximately how much percent less than the price in 2000 if the same

pattern of price is continued:

(a) 2

(b) 3

(c) 4

(d) 5

(e) 6

Q24. A man bought a piece of land for Rs. 72000. He sold 1/3 of the part at 20% loss and 2/3 of the

remaining at 25% profit. At what rate should he sell the remaining portion to earn a 20% profit on

the whole land ?

(a) Rs. 27200

(b) Rs. 29200

(c) Rs. 30000

(d) Rs. 27500

(e) Rs. 22700

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Q25. A man bought 80 eggs at the rate of 24 rupees per dozen 10 eggs got broken and the

remaining eggs he sold at 3.20 rupees per egg. If he had spent 16 rupees on other expenses, find his

profit or loss percentage.

(a) 22 2

9%

(b) 27 3

11%

(c) 27 2

9%

(d) 22 3

11%

(e) 237

11%

Directions (26-30): The following pie chart shows the percentage distribution of marks obtained

by Sameer and Babu in Mains exams of UPSC constituting of seven papers of equal maximum

marks. It is known that Babu obtained 50 marks more in GS I paper than GS III paper.

Study the chart carefully to answer the questions asked below.

Q26. Find the difference in the marks obtained by Sameer in GS I and GS II papers together and

that by Babu in Optional I and Optional II papers together.

(a) 36.5

(b) 32.8

(c) 37.5

(d) 38

(e) None of these

56

70

62

50

58

65

60

45

50

55

60

65

70

75

Essay GS I GS II GS III GS IV Optional I Optional II

Sameer Babu

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Q27. By what percent the total marks obtained by Babu in Essay is more or less than that by

Sameer in GS II? (Approximately)

(a) 1.6%

(b) 5.2%

(c) 4.8%

(d) 3.4%

(e) 2.8%

Q28. Find the overall percentage of marks scored by Babu.

(a) 58.5%

(b) 60.14%

(c) 65.21%

(d) 62.82%

(e) 59.32%

Q29. In Optional I paper Sameer was unable to clear the cutoff by only 5 marks. Find by what

percent the cutoff marks in Optional I paper is less than marks obtained by Babu in GS II paper.

(a) 18.5%

(b) 17.2%

(c) 15.8%

(d) 20.4%

(e) 19.4%

Q30. Find the ratio of marks obtained by Sameer in Essay, GS IV and Optional II together and that

by Babu in GS III, GS I and Optional I together?

(a) 182 : 185

(b) 181 : 183

(c) 17 : 19

(d) 18 : 19

(e) None of these

Q31. Two gallons of a mixture of spirit and water contains 12% of water. They are added to 3

gallons of another mixture, containing 7% of water, again half of a gallon of water is added to the

whole mixture. Find percentage of water in the resulting mixture.

(a) 173

11%

(b) 1612

11%

(c) 141

11%

(d) Cannot be determined

(e) None of these

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Q32. One test tube contains some acid and another test tube contains an equal quantity of water.

To prepare a solution, 20 l of the acid is poured into the second test tube and then two-third of the

so formed solution is taken out from the second tube and poured into the first. If the fluid in the

first test tube is four times that in the second, what quantity of the water was initially in the test

tube?

(a) 80 l

(b) 60 l

(c) 40 l

(d)100 l

(e) 120 l

Q33. A manufacturer has 200 litres of Acid solution which has 15% acid content. How many litres

of solution with 30% Acid content may be added so that Acid content in the resulting mixture will

be more than 20% but less than 25%

(a) More than 100 litres but less than 300 litres

(b) More than 120 litres but less than 400 litres

(c) More than 100 litres but less than 400 litres

(d) More than 120 litres but less than 300 litres

(e) None of these

Q34. Some amount out of Rs. 6000 was lent out at 10% per annum and the rest amount @ at 20%

per annum and thus in 4 years the total interest from both the amounts collected was Rs. 3400.

What is the amount which was lent out at 10% per annum?

(a) Rs. 2500

(b) Rs. 2800

(c) Rs. 3200

(d) Rs. 3500

(e) Rs. 3000

Q35. A jar was full of milk. A person used to draw out 20% of the milk from the jar and replaced it

with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of

milk left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of

the milk in the jar was:

(a) 1.25 kg

(b) 1 kg

(c) 1.5 kg

(d) Cannot be determined

(e) None of these

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Directions (36-40): The following pie-chart shows the percentage distribution of test series of different coaching institutes and the bar graph shows the percentage of these test series sold by two e-commerce sites-Amazon and Flipcart. Study the graph carefully to answer the following questions. Total no. of test series launched by different institutes = 2,50,000

Q36. What is the total no. of test series remained unsold of Paramount, Mahindra and K.D. together? (a) 32, 650 (b) 36, 250 (c) 36, 450 (d) 35, 620 (e) 36, 520

Paramount, …

Career …Mahendra, …

KD, 10%

Caeer Power, 32%

The Speed, 4%

0

10

20

30

40

50

60

Paramount CarrerLauncher

Mahendra KD Carrer Power The Speed

Per

cen

tag

e o

f te

st s

erie

s so

ld b

y e

-co

mm

erce

si

tes

Flipcart Amazon

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Q37. Total no. of test series sold by career launcher and the Speed through both e-commerce

companies is approximately what percent of total no. of test series of paramount which remained

unsold?

(a) 99%

(b) 92%

(c) 96%

(d) 86%

(e) 88%

Q38. Total no. of test series of career power sold by both sites is approximately what percent of

total no. of test series of all institutes except career power sold by Flipcart?

(a) 98%

(b) 94%

(c) 89%

(d) 92%

(e) 86%

Q39. What is the ratio of no. of test series of career power to that of Paramount which remained

unsold ?

(a) 49 : 16

(b) 16 : 49

(c) 33 : 49

(d) 32 : 49

(e) 11 : 16

Q40. Total no. of test series of Mahindra and KD together sold by Flipcart is what percent more or

less than the total no. of test series of career power sold by Amazon?

(a) 1.875% less

(b) 17.85% more

(c) 187.5% less

(d) 18.75% more

(e) 18.75% less

Directions (41-45): Solve the two equations in each question and

give answer

(a) if x<y

(b) if x>y

(c) if x≤y

(d) if x≥y

(e) if x=y or no relation can be established

Q41. I. x2 + 10x + 24 = 0

II. 4y2 – 17y + 18 = 0

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Q42. I. 16x2 + 20x + 6 = 0

II. 10y2 + 38y + 24 = 0

Q43. I. 17x2 + 48x = 9

II. 13y2 = 32y – 19

Q44. I. 4x + 7y = 209

II. 12x – 14y + 9 = –38

Q45. I. x2 = 729

II. y = √729

Directions (46-50): Refer to the table given below and answer the given questions.

Table shows the 5 colony and total population and percentage of males, females and children in each

colony in year 2016. Some data are missing, find the missing data to answer the given questions.

Colony Total

population

Percentage

of males

Percentage

of females

Percentage

of children

A 2400 25% — —

B — — 40% 20%

C — 50% 20% —

D 800 — — 16%

E — — 24% 36%

Note : Don’t treat children as male or female. Treat them separately.

Q46. If the ratio of population of females and children in colony A in year 2016 is 3 : 7, and female

in colony A in year 2017 is increased by 20% from that of year 2016. Then find the total number of

males and children in colony A in year 2017 so that overall population in year 2017 is same as in

year 2016 ?

(a) 1752

(b) 1852

(c) 2752

(d) 3200

(e) 1527

Q47. If number of children in colony C in year 2016 is 180 and ratio of male and females in colony

D in year 2016 is 1 : 2. Then find the difference of males in colony C and colony D?

(a) 96

(b) 86

(c) 76

(d) 55

(e) 67

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Q48. If total population of colony B and colony C together in year 2016

is 25% more than the total population of colony A in year 2016 and

ratio of total population of colony B and colony C in year 2016 is 2 : 3.

Then find the ratio of males in colony B to children in colony C in year

2016 ?

(a) 9 : 8

(b) 8 : 9

(c) 2 : 3

(d) 3 : 5

(e) 3 : 2

Q49. If ratio of males of colony D in year 2016 to the females in colony

A in year 2016 is 2 : 5 and population of children in colony A is

increased by 20% in year 2017 from year 2016. Then find the total

population of children in year 2017 in colony A ?

(a) 2000

(b) 1200

(c) 1500

(d) cannot be determined

(e) None of these

Q50. If ratio of total population of colony C to colony E in year 2016 is 5 : 4. Then number of males

in colony E in year 2016 is what percent more or less than the number of children in colony C in

year 2016?

(a) 5.67%

(b) 12%

(c) 10%

(d) 3.334%

(e) 6.67%

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