Data Sufficiency Test

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Data Sufficiency Test - 2

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Weekly Quiz Competition

Question 1
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Directions For Questions

The problem below consists of a question and two statements numbered I and II. You have to decide which of the two given statements is/are sufficient to answer the given question. Read both the statements carefully and choose the correct option.

...view full instructions

In a row of girls, how many girls are there?

I. A and B occupy the ninth place from the right end and the tenth place from the left end respectively.
II. M and V occupy the seventeenth place from the right end and the eighteenth place from the left end respectively.

A
Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

B
Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

C
Either statement I alone or statement II alone is sufficient to answer the question.

D
Both the statements I and II are not sufficient to answer the question.

Solution

From I:
How many girls are there between A and B cannot be determined. Hence total number of girls cannot be determined.
From II:
How many girls are there between M and V cannot be determined. Hence total number of girls cannot be determined.

Both the statements I and II together are not sufficient to answer the question because there is no relation between I and II.
Question 2
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Directions For Questions

In this problem, a question is followed by two statements numbered I and II. You have to decide which of the two given statements is/are sufficient to answer the given question. Read the statements carefully and choose the correct option.

...view full instructions

Who among A, B, C, D, E and F read the book at the last?

I. F, who gave the book to B after reading, was the third one to read the same.
II. C, who received the book from A, let the book be read by two other persons before it was handed over to E.

A
Statement I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.

B
Statement I alone is not sufficient to answer the question, but statement II alone is sufficient to answer the question.

C
Each statement alone is sufficient to answer the question.

D
Both statements I and II together are sufficient to answer the question.

Solution

From I, the arrangement will be _ _ F B _ _.
From II, the arrangement will be A C _ _ E _.
Combining I and II, we get
A C F B E D
Thus, D read the book at the last.
Question 3
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Directions For Questions

The question below is followed by statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question.

...view full instructions

Among L, M, N, P and R, each having a different level of intelligence, who is the most intelligent?

I. L is less intelligent than M and N is less intelligent than P.
II. M is less intelligent than N and L is more intelligent than R.

A
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C
The data in statement I alone or in statement II alone is sufficient to answer the question.

D
The data in both statements I and II together is necessary to answer the question.

Solution

Statement I: L < M and N < P

Statement II: M < N and R < L
Combining both of the statements, we get

R < L < M < N < P

Hence, P is the most intelligent.
Question 4
1 / -0

Directions For Questions

The question below is followed by statements labelled (I) and (II). You have to decide which of the following options is applicable in order to answer the given question.

...view full instructions

How many children does B have?

I. C and D are the only children of M.
II. M, who is the cousin of B, has only one daughter.

A
Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

B
Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

C
Either statement I alone or statement II alone is sufficient to answer the question.

D
Both statements I and II together not sufficient to answer the question.

Solution

Both statements I and II together are not sufficient to answer the question as nothing is mentioned about the children of B. It is mentioned that B has only one daughter, but nothing is mentioned about sons.
Question 5
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Directions For Questions

The question given below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.

...view full instructions

In how many days will five women do a piece of work?

I. Two women, five boys and three men together can do the same work in 6 days.
II. Eight women can do the same work in 12 days.

A
Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

B
Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

C
Statement I alone or statement II alone is sufficient to answer the question.

D
Both statements I and II are not sufficient to answer the question.

Solution

Statement I alone is not sufficient as we cannot find the time taken by women to complete the work.

Statement II alone is sufficient.
W (number of women) × D (number of days) × work = w (number of women) × d (number of days) × work

8 × 12 × 1 = 5 × d × 1
d = 19.2 days

Hence, statement II alone is sufficient to answer the question.
Question 6
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Directions For Questions

The question given below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.

...view full instructions

What will be Shyam's age after 6 years?

I. The ratio of the present ages of Ram and Shyam is 4 : 3.
II. Ram is seven years older than Shyam.

A
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C
The data in statement I alone or in statement II alone is sufficient to answer the question.

D
The data in both statements I and II together is necessary to answer the question.

Solution

From I:
Let the age of Ram and that of Shyam be 4x and 3x, respectively.
Ratio of the present ages of Ram and Shyam = 4 : 3

From II:
R = 7 + S

Combining I and II:
x = 7

So, Shyam's age after 6 years = 21 + 6 = 27 years

Hence, after combining both the statements, we can calculate the age of Shyam.
Question 7
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Directions For Questions

The question given below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.

...view full instructions

What is the average speed of the car?

I. The average speed of the car is five times the average speed of a truck, whereas the average speed of a bus is 45 km/hr.
II. The average speed of the truck is half the average speed of a train, whereas the average speed of a jeep is 40 km/hr.

A
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C
The data in statement I alone or in statement II alone is sufficient to answer the question.

D
The data in both statements I and II is not sufficient to answer the question.

Solution

From statement I, the average speed of the car cannot be found.

From statement II also, the average speed of the car cannot be found.

Both I and II together are not sufficient to answer the question.
Question 8
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Directions For Questions

The question given below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.

...view full instructions

What is the simple interest accrued on Rs. 5000 in six years?

I. The rate of the simple interest for the first three years is 5 per cent per annum.
II. The rate of simple interest for the next three years is 8 per cent per annum.

A
Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

B
Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

C
Statement I alone or statement II alone is sufficient to answer the question.

D
Both statements I and II together are necessary to answer the question.

Solution

From statements I, we can find simple interest for first 3 years.
From statement II, we can find the simple interest for last 3 years.
Hence, after combining both the statements, we can get the total simple interest for 6 years.
Question 9
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Directions For Questions

The question given below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.

...view full instructions

What is the total cost of 4 kg of apples and 3 kg of mangoes?

I. The cost of 2 kg of apples is Rs. 170 and that of one kg of mangoes is Rs. 50.
II. The total cost of 5 kg of apples and 4 kg of mangoes is Rs. 410.

A
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C
The data in statement I alone or in statement II alone is sufficient to answer the question.

D
The data in both statements I and II is not sufficient to answer the question.

Solution

Statement I alone is sufficient as we can get the cost per kg of both apples and mangoes.

Statement II alone is not sufficient.
Question 10
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Directions For Questions

The following problem consists of a question and two statements labelled (I) and (II). You have to decide whether the data provided in the given statements is sufficient to answer the question.

...view full instructions

Is it true that a > b?

I. ac > bc
II. a + c > b + c

Mark your answer as

A
if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

B
if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

C
if the data either in statement I alone or in statement II alone is sufficient to answer the question

D
if the data in both the statements I and II together is not sufficient to answer the question

Solution

Statement I alone is not sufficient as we do not know whether c is positive or not.

Statement II alone is sufficient as a + c > b + c implies a > b.

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Data Sufficiency Test - 2

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Data Sufficiency Test - 2

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Question 1

Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

Either statement I alone or statement II alone is sufficient to answer the question.

Both the statements I and II are not sufficient to answer the question.

Solution

Question 2

Statement I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.

Statement I alone is not sufficient to answer the question, but statement II alone is sufficient to answer the question.

Each statement alone is sufficient to answer the question.

Both statements I and II together are sufficient to answer the question.

Solution

Question 3

The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

The data in statement I alone or in statement II alone is sufficient to answer the question.

The data in both statements I and II together is necessary to answer the question.

Solution

Question 4

Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

Either statement I alone or statement II alone is sufficient to answer the question.

Both statements I and II together not sufficient to answer the question.

Solution

Question 5

Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

Statement I alone or statement II alone is sufficient to answer the question.

Both statements I and II are not sufficient to answer the question.

Solution

Question 6

The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

The data in statement I alone or in statement II alone is sufficient to answer the question.

The data in both statements I and II together is necessary to answer the question.

Solution

Question 7

The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

The data in statement I alone or in statement II alone is sufficient to answer the question.

The data in both statements I and II is not sufficient to answer the question.

Solution

Question 8

Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

Statement I alone or statement II alone is sufficient to answer the question.

Both statements I and II together are necessary to answer the question.

Solution

Question 9

The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

The data in statement I alone or in statement II alone is sufficient to answer the question.

The data in both statements I and II is not sufficient to answer the question.

Solution

Question 10

if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

if the data either in statement I alone or in statement II alone is sufficient to answer the question

if the data in both the statements I and II together is not sufficient to answer the question

Solution

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