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Data Sufficiency Questions for IBPS PO | Quantitative Aptitude

Direction: Below question consists a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question Read both the statement and Give answer.

1. What is the ratio of the number of fresher to that of seniors in a college?

I. The ratio of males and females in the college is 4:5

II. There are 500 male seniors in the college

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 are sufficient to answer the question.

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

E. The data in both the statement I and II together are necessary to answer the question.

2. Is x greater than y?

I. x is greater than 500.

II. y is greater than 198.

A. 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.

B. 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.

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

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

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

3. What is the area of the square?

I. Measure of diagonal of the square is given.

II. Measure of one side of square is given.

III. Perimeter of the square is given.

A. Only II

B. Only III

C. Only I and III

D. Only II and III

E. Any one of the three

4. What is the speed of the train?

I. Length of the train is 500 meters.

II. Train crosses a pole in 50 seconds.

A. Only I

B. Only II

C. Cant be solved using both  I, II

D. Either I or II

E. Using both I and II

5. What is the salary of X?

I. He spends 30% on insurance premium, 25% on maintenance and 14% on expenses.

II. Even after spending of 30% of his salary, he is able to save Rs.5600

A. 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.

B. 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.

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

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

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

6. What is the product of ages of A and B?

I. B is 13 years older than A

II.  B is 20 years old which is twice the age of A

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

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

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

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

E. You cannot get the answer from the statement I and II together but need even more data

7. What is the profit earned by selling a Watch for Rs. 1250?

I. The cost price of 5 such Watches is equal to selling price of 4 such Watches.

II. 25% profit is earned by selling each Watch.

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

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

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

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

E. You cannot get the answer from the statement I and II together but need even more data

8. The street number where Sunny lives is of 3 digits. Is the street number greater than 350?

I. All three digits of the street number are different odd numbers.

II. No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

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.

 

Answers:

Solution1: D

We have to calculate the ratio of the number of fresher to that of seniors in the college.

Using statement I:

This statement doesn’t provide any information regarding the number of fresher or the seniors in the college.

So, the data in Statements I alone is not sufficient to answer the question.

Using statement II:

This statement provides information regarding the number of male seniors.

This statement alone leads to nowhere.

So, the data in Statement II alone is not sufficient to answer the question.

Combining statement 1 & statement 2:

Statement 1 refers to the ratio of males and females in the whole college.

So, no further information can be deduced even after combining both statements.

∴ The data in both the statements I and II are not sufficient to answer the question

Solution2: D

From statement I,

x > 500

Thus, the data in Statement I alone are not sufficient to answer the question

From statement II,

y > 198

Thus, the data in Statement II alone are not sufficient to answer the question

Combining I and II,

x> 500

y> 198

Even on combination of these statements, relation cannot be established. (Numbers 200, 211 etc.)

Thus, the data even in both the statements I and II together II alone not sufficient to answer the question.

Solution3: E

To find area we need side.

From statement 1:

If one diagonal of square is D units, then one side is D÷√2

From statement 2:

 If length of one side of a square = x units, then area = x2 sq. units.

From statement 3:

If perimeter of the square = C units, then length of one side of the square = C ÷4 units

⇒ Area = (C ÷4)2 sq. units.

∴ Any one of the three statements can be used to measure the area.

Solution4: E

Combining statement I & II:

The length of train is 500 meter.

The train crosses a pole in 50 seconds.

⇒speed = 500 ÷ 50 m/s =  10 m/s

Solution5: B

From statement I,

Given: He spends 30% on insurance premium, 25% on maintenance and 14% on expenses.

 Amount in Rs. is not give in any case.

∴ The data in Statement I alone are not sufficient to answer the question

From statement II,

Given: Even after spending of 32% of his salary, he is able to save Rs.5600

Let his salary be Rs. A.

Then, after spending 30% of his salary, remaining salary = (100 – 30)% = 70%

∴ 70% of a = 5600

70/100×a=5600

a=8000

∴ The data in Statement II alone are sufficient to answer the question

Solution6: B

Let’s assume that the age of A is x years and that of B is years.

From statement I,

y = x + 13

∵ we don’t know the value of either of x.

∴ The statement I alone is not sufficient to answer the question

From statement II,

y = 20

⇒ x = 20/2 = 10

Product of their ages = xy

⇒ Product of their ages = 200

∴ The statement II alone is sufficient to answer the question

Solution7: D

Let’s assume that the cost price of the Watch is Rs. W.

From statement (1):

The cost price of 5 such Watches is equal to selling price of 4 such Watches.

⇒ 5W = 4 × 1250

⇒ W = Rs. 1000

∴ Profit = Selling price – Cost price = 1250 – 1000 = Rs. 250

∴ Statement I alone is sufficient .

From statement (2):

25% profit is earned by selling each Watch.

∵ Cost price of each Watch = Rs. W,

∴ Selling price = W + 0.25W = 1.25 W = 1250

⇒ W = 1250/1.25 =1000

∴ Profit = 0.25 × 1000 = Rs. 250

∴ The statement II alone is sufficient to answer the question.

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

Solution8: E

From statement I:

All three digits of the street number are different odd numbers.

Number can be 153 or 573 or 171, and so on. It cannot be concluded if it is greater than 350 or not.

∴ Statement I alone is not sufficient to answer the question.

From statement II:

No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

It means that if digits of number are 1, 2 and 4, then number will be 421.

Such numbers can be 321, 421, 562, 891, and so on. It cannot be concluded if it is greater than 350 or not.

∴ Statement II alone is not sufficient to answer the question.

From statements I and II together:

All three digits of the street number are different odd numbers. No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

Smallest possible three digit number with different odd digits and satisfying this property will be 351.

⇒ Number must be greater than 350.

∴ Using both the statements together, we can answer the given question.

   

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