## Data Sufficiency Questions

**Direction for next 4 data sufficiency questions:** Each question is followed by two statements, I and II. Mark your answer as

**a.** If the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.

**b.** If the question can be answered by using either statement alone.

**c. **If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

**d.** If the question cannot be answered even by using both the statements together.

**1. **What is the average speed of a car for its entire journey from Delhi to Mumbai?

**I.** The car covered the one-third distance at an average speed of 40 km/hr.

**II. **It covered the two-thirds distance at an average speed of 60 km/hr.

**2. **Is it Monday on March 7 of the year Z? (Z is a natural number).

**I. **March 31 of the year (Z + 1) will be a Sunday.

**II. **April 25 of the year Z is Monday.

**3. **The sum of the ages of Amar, Akbar and Anthony is 53 years. If Anthony, whose ages are a perfect square, is the oldest, then who is the youngest?

**I. **Sum of ages of Amar and Akbar is a perfect square.

**II. **Ages (in years) of all of them are distinct odd natural numbers.

**4. **If Argentina beats Brazil by 3 goals in a soccer match, how many goals were scored by Argentina?

**I.** Both terms were tied at the end of first half.

**II. **The number of goals scored by both the teams in the first half as well as the second half was a perfect square.

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abhiron bhattacharyaSays:May 17th, 2010 at 10:39 pm

C

A

B

C

adminSays:May 18th, 2010 at 2:55 am

1. Answer.(d). From the statement I, we cannot say which one-third distance is covered.

From statement II also, we cannot say which two-thirds distance is covered.

Combining both the statements we cannot find the answer.

Hence it cannot be determined.

2. Answer.(b). Statement I, March 31 of (Z + 1) was Sunday, the March 7 must have been Thursday. So, if March 7 of (Z + 1) was Thursday, then March 7 of Z cannot be Monday.

The answer is no.

It does not matter whether Z or (Z + 1) is a leap year or not.

Statement I is sufficient to answer.

Statement II also is sufficient to answer.

3. Answer.(d). Even after combining both the statements, we cannot say surely who is the youngest.

All that we know is Anthony’s age = 49

(Amar’s age + Akbar’s age) = 4

It has to be either Amar 1 year and Akbar 3 years or Amar 3 years and Akbar 1 year old.

4. Answer.(d). Combining I and II,

In the second half

Brazil – 1, Argentina – 4 is the only option.

But in the first half

Brazil – 1, Argentina – 1

Brazil – 4, Argentina – 4 … and so on.

So, total goals scored by Argentina cannot be determined.

PriyaSays:May 21st, 2010 at 10:58 pm

1. d

2. b

3. d

4. d

kamalSays:June 10th, 2010 at 11:21 am

@admin-: I dont think that to find average speed, we have know that which one third distance is covered.

simply we can find avg. speed by-

avg. speed = total distance/ total time taken

if this is not true then give me more explanation about this please.

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piyanaSays:June 13th, 2010 at 10:48 pm

d b d d

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[…] Data Sufficiency Questions: Directions for next 4 Data Sufficiency questions: In each Data Sufficiency question there are two statements: A and […]