Data Sufficiency Test

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Data Sufficiency Test - 1

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Question 1
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Directions For Questions

The question 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.

What is Nikita's share in the profit of Rs. 50,000 earned in the business run by her in partnership with Sharmila?
(Given: Both of them kept their money till the profit earned.)

...view full instructions

I. Nikita invested an amount which was 150% of the amount invested by Sharmila.
II. The amount invested by Sharmila is 2/3^rd of the amount invested by Nikita.

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 either statement I alone or 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 amounts invested by Nikita and Sharmila are in the ratio 3 : 2.
Therefore, Nikita's share in the profit = 50,000 × (3/5) = 30,000

From statement II,
Amount invested by Sharmila = 2/3^rd of Nikita's investment
Therefore, investment of Nikita : Investment of Sharmila = 1 : (2/3) = 3 : 2
Nikita's share in the profit = 50,000 × (3/5) = 30,000

Therefore, both the statements individually are sufficient to answer the question.
Question 2
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Directions For Questions

The question 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.

I. The sum of the digits is 6.
II. The digit at tens place is double the digit at units place.

...view full instructions

Which 2-digit number is it?

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 either statement I alone or 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 alone is not sufficient as the number could be 42, 24, 51, 15, 60 or 33.

Statement II alone is not sufficient as the number could be 84, 63, 42 or 21.

Combining the statements I and II, we get the number as 42.
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. Read both the statements and choose the correct alternative.

...view full instructions

In how many days can B alone complete the work?

I. B and C together can complete the work in 8 days.
II. A and B together can complete the work in 12 days.

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 the statements I and II is not sufficient to answer the question.

Solution

Statement I only gives information about work done by B and C together, there is no information about C's work.

Statement II only gives information about work done by A and B together, there is no information about A's work.
Question 4
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Directions For Questions

The question below is followed by two statements numbered I and II. Read both the statements carefully and choose the correct option accordingly.

...view full instructions

What is the two-digit number?

I. The difference between the two digits of the number is 0.
II. The sum of the two digits of the number is 8.

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

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

Solution

I. It gives difference between the digits, i.e. x – y = 0.
Or, x = y

II. It gives the sum of digits, i.e. x + y = 8.
∴ x = y = 4

Hence, both I and II are necessary to answer the question.
Question 5
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Directions For Questions

The question 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 Supriya's present age?

I. Supriya is three years older than Priya.
II. The ratio between Priya's and Reshma's ages is 3 : 4.

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 either statement I alone or 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 I,
Let Priya's present age be x years.
Therefore, Supriya's present age = (x + 3) years

From II,
Priya's present age : Reshma's present age = 3 : 4

But we do not have any other relation between Priya's age and Reshma's age to determine the exact age of Priya. Hence, we cannot decide the present age of Supriya.

Therefore, the data in both the statements is not sufficient to answer the question.
Question 6
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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. Read both the statements and choose the correct alternative.

...view full instructions

A boat is travelling. What is the speed of the boat in still water?

I. The boat travels at a speed of 4 km/hr while going upstream.
II. The boat travels at a speed of 6 km/hr while going downstream.

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 the statements I and II together is necessary to answer the question.

Solution

The speed of boat in still water is (6 + 4)/2 = 5 km/hr

This can be calculated only when we know both the speeds while going upstream and downstream.

So, both statements I and II together are sufficient to answer the question.
Question 7
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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. Read both the statements and choose the correct alternative.

...view full instructions

How many marks did Nigam get in Biology?

I. Nigam got 42 marks in English, which were half of the marks he got in Biology.
II. Nigam's marks in Biology were 14 percent of the total marks he got in all the subjects together.

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 the statements I and II is not sufficient to answer the question.

Solution

According to the data in statement I,
Marks in Biology = 2 x 42 = 84

Thus, the data in statement I alone is sufficient to answer.
Statement II gives no indication about the total marks in all other subjects.

Hence, marks in Biology cannot be evaluated.

Thus, statement II is not sufficient.

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Data Sufficiency Test - 1

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Data Sufficiency Test - 1

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SHARING IS CARING

Question 1

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 either statement I alone or 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 2

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 either statement I alone or 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 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 the statements I and II is not sufficient to answer the question.

Solution

Question 4

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

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

Solution

Question 5

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 either statement I alone or 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 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 the 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 the statements I and II is not sufficient to answer the question.

Solution

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