Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1.

How many marks did Tarun secure in English?

I.

The average mark obtained by Tarun in four subjects including English is 60.

II.

The total marks obtained by him in English and Mathematics together are 170.

III.

The total marks obtained by him in Mathematics and Science together are 180.

A.

I and II only

B.

II and III only

C.

I and III only

D.

All I, II and III

E.

None of these

Answer: Option E

Explanation:

I gives, total marks in 4 subjects = (60 x 4) = 240.

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

A.

2 : 3

B.

4 : 3

C.

6 : 7

D.

9 : 16

Answer: Option B

Explanation:

Let us name the trains as A and B. Then,

(A's speed) : (B's speed) = b : a = 16 : 9 = 4 : 3.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A.

1 : 3

B.

3 : 2

C.

3 : 4

D.

None of these

Answer: Option B

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

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

A.

Rs. 6400

B.

Rs. 6500

C.

Rs. 7200

D.

Rs. 7500

E.

None of these

Answer: Option A

Explanation:

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).

Then,

x x 14 x 2

+

(13900 - x) x 11 x 2

= 3508

100

100

28x - 22x = 350800 - (13900 x 22)

6x = 45000

x = 7500.

So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

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

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

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

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

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

11.

Ravi, Gagan and Nitin are running a business firm in partnership. What is Gagan's share in the profit earned by them?

I.

Ravi, Gagan and Nitin invested the amounts in the ratio of 2 : 4 : 7.

II.

Nitin's share in the profit is Rs. 8750.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer: Option E

Explanation:

Let us name Ravi, Gagan and Nitin by R, G and N respectively.

In each of the following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.

13.

What is the compound interest earned at the end of 3 years?

I.

Simple interest earned on that amount at the same rate and for the same period is Rs. 4500.

II.

The rate of interest is 10 p.c.p.a.

III.

Compound interest for 3 years is more than the simple interest for that period by Rs. 465.

A.

I and II only

B.

II and III only

C.

I and III only

D.

Either II or III only

E.

Any two of the three

Answer: Option D

Explanation:

I. gives, S.I for 3 years = Rs. 4500.

II. gives, Rate = 10% p.a.

III. gives, (C.I.) - (S.I.) = Rs. 465.

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

Thus, II is redundant.

Also, from I and II, we get sum =

100 x 4500

= 15000.

10 x 3

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

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

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

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

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

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

18.

What is the volume of 32 metre high cylindrical tank?

I.

The area of its base is 154 m^{2}.

II.

The diameter of the base is 14 m.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer: Option C

Explanation:

Given, height = 32 m.

I gives, area of the base = 154 m^{2}.

Volume = (Area of the base x Height) = (154 x 32) m^{3}.