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.

1.

What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.

I.

The number is multiple of 51.

II.

The sum of the digits a and b is 6.

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 A

Explanation:

From statement I:

A two digit number, greater than 9 and multiple of 51 should be 51 itself.

Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.

From statement II:

A two digit number, greater than 9 and sum of the digit is 6.

It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.

Thus, I alone give the answer while II alone not sufficient to answer.

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

2.

At what time will the train reach city X from city Y?

I.

The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.

II.

The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.

III.

The 200 metres long train crosses a signal pole in 10 seconds.

A.

I only

B.

II only

C.

III only

D.

II and III only

E.

All I, II and III are required.

Answer: Option D

Explanation:

From the statement I, we get length of the train is 200 metres (Redundant info while comparing with Statement III). The rest of the info given in this statement cannot be used for calculating the speed of the train, because the two trains might run at different speed.

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.

4.

What is Arun's present age?

I.

Five years ago, Arun's age was double that of his son's age at that time.

II.

Present ages of Arun and his son are in the ratio of 11 : 6 respectively.

III.

Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

A.

Only I and II

B.

Only II and III

C.

Only I and III

D.

Any two of the three

E.

None of these

Answer: Option D

Explanation:

II. Let the present ages of Arun and his son be 11x and 6x years respectively.

I. 5 years ago, Arun's age = 2 x His son's age.

III. 5 years hence,

Arun's Age

=

12

Son's age

7

Clearly, any two of the above will give Arun's present age.

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

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.

9.

What will be compounded amount?

I.

Rs. 200 was borrowed for 192 months at 6% compounded annually.

II.

Rs. 200 was borrowed for 16 years at 6%.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

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.

15.

What is the area of the hall?

I.

Material cost of flooring per square metre is Rs. 2.50

II.

Labour cost of flooring the hall is Rs. 3500

III.

Total cost of flooring the hall is Rs. 14,500.

A.

I and II only

B.

II and III only

C.

All I, II and III

D.

Any two of the three

E.

None of these

Answer: Option C

Explanation:

I. Material cost = Rs. 2.50 per m^{2}

II. Labour cost = Rs. 3500.

III. Total cost = Rs. 14,500.

Let the area be A sq. metres.

Material cost = Rs. (14500 - 3500) = Rs. 11,000.

5A

= 11000 A =

11000 x 2

= 4400 m^{2}.

2

5

Thus, all I, II and III are needed to get the answer.