Data Sufficiency 1

7/30/2019 Data Sufficiency 1

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Surajit Banerjee M: 9830009535

Data Sufficiency

Directions to Solve

Each of the questions given below consists of astatement and/or a question and two statementsnumbered I and II given below it. You have todecide whether the data provided in the

statement(s) is/are sufficient to answer the givenquestion. Read both statements and

Give answer (A) if the data in Statement I aloneare sufficient to answer the question, while the datain Statement II alone are not sufficient to answerthe question.

Give answer (B) if the data in Statement II aloneare sufficient to answer the question, while the data

in Statement I alone are not sufficient to answer thequestion.

Give answer (C) if the data either in Statement I orin Statement II alone are sufficient to answer thequestion.

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I. The interest rate is 10% p.a.

II. The sum earned simple interest in 10 years.

8. What is the sum which earned interest?

I. The total simple interest was Rs. 7000 after 7years.

II. The total of sum and simple interest was doubleof the sum after 5 years.

9. What percentage of simple interest per annum didAnand pay to Deepak?

I. Anand borrowed Rs. 8000 from Deepak for fouryears.

II. Anand returned Rs. 8800 to Deepak at the endof two years and settled the loan.

10. What is the rate of simple interest?

I. The total interest earned was Rs. 4000.

II. The sum was invested for 4 years.

11. What is the speed of the train whose length is 210metres?


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Give answer (D) if the data even in both StatementsI and II together are not sufficient to answer thequestion.

Give answer (E) if the data in both Statements I andII together are necessary to answer the question.

1. A and B together can complete a task in 7 days. Balone can do it in 20 days. What part of the workwas carried out by A?

I. A completed the job alone after A and B workedtogether for 5 days.

II. Part of the work done by A could have beendone by B and C together in 6 days.

2. How long will Machine Y, working alone, take toproduce x candles?

I. Machine X produces x candles in 5 minutes.

II. Machine X and Machine Y working at the sametime produce x candles in 2 minutes.

3. Two towns are connected by railway. Can you findthe distance between them?

I. The speed of the mail train is 12 km/hr morethan that of an express train.

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II. A mail train takes 40 minutes less than anexpress train to cover the distance.

4. The towns A, B and C are on a straight line. TownC is between A and B. The distance from A to B is100 km. How far is A from C?

I. The distance from A to B is 25% more than thedistance from C to B.

II. The distance from A to C is of the distance C toB.

5. Two cars pass each other in opposite direction.

How long would they take to be 500 km apart?

I. The sum of their speeds is 135 km/hr.

II. The difference of their speed is 25 km/hr.

6. How much time did X take to reach thedestination?

I. The ratio between the speed of X and Y is 3 : 4.

II. Y takes 36 minutes to reach the same destination.

7. The simple interest on a sum of money is Rs. 50.What is the sum?


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I. The train crosses another train (Howrah Express/12869) of 300 metres length running in oppositedirection in 10 seconds.

II. The train crosses another train (Howrah Express/12869) running in the same direction at the speedof 60 km/hr in 30 seconds.

12. What is the length of a running train crossinganother 180 metre long train running in theopposite direction?

I. The relative speed of the two trains was 150kmph.

II. The trains took 9 seconds to cross each other.

13. What is the length of a running train?

I. The train crosses a man in 9 seconds.

II. The train crosses a 240 metre long platform in 24seconds.

14. What is the number?

I. The sum of the two digits is 8. The ratio of thetwo digits is 1 : 3.

I. The three panels on average interview 15candidates every day.

II. Out of a total of 45 candidates interviewedeveryday by the three panels, the number ofcandidates interviewed by panel A is more by 2than the candidates interviewed by panel c and ismore by 1 than the candidates interviewed by panelB.

23. What is the average age of children in the class?

I. The age of the teacher is as many years as thenumber of children.

II. Average age is increased by 1 year if theteachers age is also included.

24. A boat takes a total time of three hours to traveldownstream from P and Q and upstream back fromQ to P. What is the speed of the boat in still water?

I. The speed of the river current is 1 km per hour.

II. The distance between P and Q is 4 km.

1A 2E 3 4 5 6 7E 8E 9E

10D 11E 12E 13E 14C 15E 16A 17C 18D

19A 20E 21D 22B 23D 24E


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II. The product of the two digit of a number is 12.The quotient of two digits is 3.

15. What is the two-digit number?

I. The difference between the two digits is 9.

II. The sum of the digits is equal to the differencebetween the two digits.

16. What is the two-digit number whose first digit is aand the second digit is b?. The number is greaterthan 9.

I. The number is multiple of 51.

II. The sum of the digits a and b is 6.

17. The area of playground is 1600 m2. What is theperimeter?

I. It is a perfect square playground.

II. It costs Rs. 3200 to put a fence around the

playground at the rate of Rs. 20 per metre.

18. The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?

I. The base of the triangle is 40 cm.

II. The height of the triangle is 50 cm.

19. What is the height of the triangle?

` I. The area of the triangle is 20 times its base.

II. The perimeter of the triangle is equal to theperimeter of a square of side 10 cm.

20. What will be the cost of painting the inner walls ofa room if the rate of painting is Rs. 20 per squarefoot?

I. Circumference of the floor is 44 feet.

II. The height of the wall of the room is 12 feet.

21. The average age of P, Q, R and S is 30 years. Howold is R?

I. The sum of ages of P and R is 60 years.

II. S is 10 years younger than R.

22. How many candidates were interviewed everydayby the panel A out of the three panels A, B and C?


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Simple Interest

1. A sum of money at simple interest amounts to Rs.815 in 3 years and to Rs. 854 in 4 years. The sumis:

A.Rs. 650 B.Rs. 690 C.Rs. 698 D.Rs. 700

2. Mr. Thomas invested an amount of Rs. 13,900divided in two different schemes A and B at thesimple interest rate of 14% p.a. and 11% p.a.respectively. If the total amount of simple interestearned in 2 years be Rs. 3508, what was the amountinvested in Scheme B?

A.Rs. 6400 B.Rs. 6500 C.Rs. 7200 D.Rs. 7500

3. A sum fetched a total simple interest of Rs. 4016.25at the rate of 9 p.c.p.a. in 5 years. What is the sum?

A.Rs. 4462.50 B.Rs. 8032.50C.Rs. 8900 D.Rs. 8925

4. How much time will it take for an amount of Rs.450 to yield Rs. 81 as interest at 4.5% per annum ofsimple interest?

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13. A certain amount earns simple interest of Rs. 1750after 7 years. Had the interest been 2% more, howmuch more interest would it have earned?

A.Rs. 35 B.Rs. 245

C.Rs. 350 D.Cannot be determined

14. A person borrows Rs. 5000 for 2 years at 4% p.a.simple interest. He immediately lends it to another

person at1

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p.a for 2 years. Find his gain in the

transaction per year.

A.Rs. 112.50 B.Rs. 125 C.Rs. 150 D.Rs. 167.50

15. You have to study the question and the statementsand decide which of the statement(s) is/arebnecessary to answer the question.

What is the principal sum?

I. The sum amounts to Rs. 690 in 3 years at S.I.II. The sum amounts to Rs. 750 in 5 years at S.I.III. The rate of interest is 5% p.a.

A. I and III only B. II and III onlyC. I and II onlyD. I and III only, or II and III onlyE. Any two of the three

1C 2A 3 4B 5B 6D 7B 8D 9D

10C 11C 12C 13D 14A 15E


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A.3.5 years B.4 years C.4.5 years D.5 years

5. Reena took a loan of Rs. 1200 with simple interestfor as many years as the rate of interest. If she paidRs. 432 as interest at the end of the loan period,

what was the rate of interest?

A.3.6 B.6 C.18 D.Cannot be determined

6. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4years at the rate of simple interest. What is the rateof interest?

A.3% B.4% C.5% D.6%

7. An automobile financier claims to be lending moneyat simple interest, but he includes the interest everysix months for calculating the principal. If he ischarging an interest of 10%, the effective rate ofinterest becomes:

A.10% B.10.25% C.10.5% D.None of these

8. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C

for 4 years on simple interest at the same rate ofinterest and received Rs. 2200 in all from both ofthem as interest. The rate of interest per annum is:

A.5% B.7% C.8% D.10%

9. A sum of Rs. 725 is lent in the beginning of a yearat a certain rate of interest. After 8 months, a sumof Rs. 362.50 more is lent but at the rate twice theformer. At the end of the year, Rs. 33.50 is earnedas interest from both the loans. What was the

original rate of interest?

A.3.6% B.4.5% C.5% D. None of these

10. A man took loan from a bank at the rate of 12%p.a. simple interest. After 3 years he had to pay Rs.5400 interest only for the period. The principalamount borrowed by him was:

A.Rs. 2000 B.Rs. 10,000C.Rs. 15,000 D.Rs. 20,000

11. A sum of money amounts to Rs. 9800 after 5 yearsand Rs. 12005 after 8 years at the same rate ofsimple interest. The rate of interest per annum is:

A.5% B.8% C.12% D.15%

12. What will be the ratio of simple interest earned by

certain amount at the same rate of interest for 6years and that for 9 years?

A.1 : 3 B.1 : 4C.2 : 3 D.Data inadequate

Documents

Data Sufficiency 1