Data Sufficiency Test

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Data Sufficiency Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Directions: 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.)

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.

E
The data in both statements I and II together is necessary 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
1 / -0

Directions: 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.

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.

E
The data in both statements I and II together is not sufficient 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.
Hence, option (4) is the correct answer.
Question 3
1 / -0

Directions: 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 the rate of simple interest per annum?

I. The amount doubles itself in 10 years with simple interest.
II. The simple interest incurred in 5 years is Rs. 5000.

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 not sufficient to answer the question.

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

Solution

From I:
Let Principal amount = P
P = R = 10%
From II:
Neither principal nor rate is given. Therefore, we cannot determine the rate of interest.
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.
Question 4
1 / -0

Directions: 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.

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.

E
The data in both the statements I and II together is necessary 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.

Even by combining the statements, we are having 2 equations and 3 variables to solve which is not possible.
Hence, both statements I and II together are not sufficient to answer the question.
Question 5
1 / -0

Directions: The following problem has a question and statements labelled I and II. You have to decide which of the following statements is/are sufficient to answer the question.

What is mother's present age?

Statement I: The present ages of mother and child are in the ratio 5 : 1.
Statement II: Four years hence, the ratio of the ages of mother and child will be 17 : 5.

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 necessary to answer the question.

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

Solution

From statement I:
Let the mother's age be 5x years and her child's age be x years.

From statement I and II:
Age of mother 4 years hence = (5x + 4) years
Age of her child 4 years hence = (x + 4) years
According to question,

25x + 20 = 17x + 68
8x = 48
x = 6
So, mother's age = 5 × 6 = 30 years
Therefore, the answer will be obtained by combining both the statements.
Question 6
1 / -0

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

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 not sufficient to answer the question.

E
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 7
1 / -0

Directions: 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 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.

E
The data in both statements I and II together is necessary 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 8
1 / -0

Directions: 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.

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 is not sufficient to answer the question.

E
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.
So, option (5) is the correct answer.
Question 9
1 / -0

Directions: 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.

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.

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

Solution

According to the data in statement I,
Marks in Biology = 2 × 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.
Thus, answer option (1) is correct.
Question 10
1 / -0

Directions: 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.

What is the rate of interest per annum?

I. An amount of Rs. 6200 fetches simple interest of Rs. 1736 in two years.
II. An amount of Rs. 4500 fetches compound interest of Rs. 1348.2 in two years.

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.

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

Solution

The data in statement I alone or in statement II alone is sufficient to answer the question.
I. 1736 = R = 14%
II. 5848.2 = 4500R = 14%
Question 11
1 / -0

Directions: 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.

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.

E
Both the statements I and II together are 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 12
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Directions: 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.

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.

E
Both statements I and II together are not 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 13
1 / -0

Directions: 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.

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 14
1 / -0

Directions: 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.

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.

E
Both statements I and II together are necessary 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. So, option (4) is correct.
Question 15
1 / -0

Directions: 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.

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.

E
Both statements I and II together are necessary 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 16
1 / -0

Directions: 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.

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.

E
The data in both statements I and II is not sufficient 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:
Age of Ram = 7 + Age of Shyam
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 17
1 / -0

Directions: 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.

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.

E
The data in both statements I and II together is necessary 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 18
1 / -0

Directions: 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.

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 are not sufficient to answer the question.

E
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 19
1 / -0

Directions: 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.

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.

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

Solution

Statement I: We can get the cost per kg of both apples and mangoes individually and hence, the required total cost of 4 kg of apples and 3 kg of mangoes. (SUFFICIENT)
Statement II: We can't solve a linear equation with two variables. (INSUFFICIENT)
So, option (1) is the correct answer.
Question 20
1 / -0

Directions: 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.

Is it true that a > b?

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

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 not sufficient to answer the question

E
The data in both the statements I and II together is necessary 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.
Hence, answer is option (2).

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Data Sufficiency Test - 3

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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.

The data in both statements I and II together is necessary 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.

The data in both statements I and II together is not 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 either statement I alone or statement II alone is sufficient to answer the question.

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

The data in both statements I and II together is necessary 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 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.

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 necessary 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 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 not 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 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.

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

Solution

Question 8

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.

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

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

Solution

Question 10

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.

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

Solution

Question 11

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