# Arithmetic Data Sufficiency Questions and Answers for all Exam

**Directions: In each of the following problems, there is one question and three statements I, II and III given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find out that probable pair which can be sufficient to answer the question. Any one such alternative which contains the statement or a pair of statements sufficient to answer the question will be your answer. For example9 if only statement I is sufficient to answer the question, then statements I and II together should not be accepted as answer to the question. Remember out of the three statements, each of them alone can also be sufficient to answer the question. In such cases for example your answer should be taken as Only I or Only II or Only III and not Only I.**

1. Rama’s servant was pouring wheat in a container with a vessel which takes 15 minutes to pour l kg of wheat. Find the capacity of the container.

I. There is no leakage.

II. There is a hole in the container which empties the full container in 15 hours at the rate 1 of 1 kg per hour.

2. The cost price of an article is Rs. 10O. Find the profit made by selling it.

I. A 20 percent discount was given on the list price and the profit percentage made was 25 percentage points more than the discount percent.

II. The list price is Rs.180 and the profit percent is 20% of the mark up percentage.

3. Veena and Leena study in the same class. How many students are there in their class, if the difference in their ranks is 5?

I. Veena has equal number of students above her and below her in terms of rank.

II. Leena has equal number of students above her and between Veena and herself in terms of rank.

4. In an assembly of a school students are standing in the form of an n x n matrix. A student from one of the rows is selected and is named A. Thereafter, student from one of the columns is selected and is named B. Is A shorter than B?

I. A is tallest amongst shortest people from each row.

II. B is shortest amongst tallest people from each column

5. A 3 X 3 array has its cells coloured with 3 colours; yellow, red and green such that any two cells with a common side are not coloured with the same colour. What is the colour of the central cell?

I. There are 4 red coloured cells.

II. There are at least 2 yellow coloured cells in the array.

6. There are four friends A, B, C and D with different ages. The difference between D’s and A’s ages = Difference between A’s and C’s ages. Who is the eldest?

I. D is not the eldest.

II. D is elder to A.

7. If the length of a rectangle is decreased by 2 cm and the breadth increased by 2 cm, the area is unaltered. What is the length and the breadth?

I. If the length is increased by 8 cm and the breadth decreased by 4 cm, even then the area is unaltered.

II. Length of the rectangle is twice its breadth.

8. a, b, c, d, and e are in an AP. Is d a positive quantity?

I. e is a positive integer.

II. a, b, and c are negative integers.

9. Is “ABCDEF” completely divisible by 132? A, B, C, D, E and F are whole numbers and A ≠ O?

I. The number “CDEF” has a factor = 4 and A + C + E = 12 (B + D + F)

II. A+B+C+D+E+F is divisible by24.

10. [x] denotes the greatest integer less than or equal to x, where x is a real number. What is the value of the expression [x] + [2x] + [3X] + … + [nx]?

I. 2.5 ≥ X – [X] > 0.34

II. [n/X] = 4

## Read More Questions on Data Sufficiency

11. The average weight of A and D is 30 kg. What is the average weight of A, B, C and D?

I. Average weight of A, B and C is 40 kg.

II. Average weight of B, C and D is 100/3 kg.

12. What are the values of x, y and z?

I. x, y and z are two digit consecutive prime numbers.

II. z is the largest two digit prime number.

13. What should be the marked price (MP) of a pair of jeans?

I. After giving a discount of 13% on MP, the shopkeeper earns a profit of 10%

II. The shopkeeper gets every pair of jeans from the market outlet for Rs.450.

14. What is the average age of the 30 students in a class?

I. The average age of 12 girls in the class is 20 years.

II. The sum of the ages of 18 students is less than 618 years.

15. If x, y and z are prime numbers in a non-decreasing order, what is the value of x X y X z?

I. x + y + z = 12

II. 4200 is divisible by x X y X z

III. 1050 is divisible by y X z

16. What are the values of ‘a’ and ‘b’ in 9ab2 and if 9, a, b and 2 are all distinct digits?

I. The number 9ab2 is divisible by 13.

II. a < 5, b < I5

III. a + b = 3

17. Is ‘b’ positive?

I. a + b is positive

II. a – b is positive

18. What is the average height of the class?

I. Average height of the class decreases by 1 cm if we exclude the tallest person of the class whose height is 56 cm.

II. Average height of the class increases by 1 cm if we exclude the shortest person of the class whose height is 42 cm.

19. Total marks obtained by P, Q, R and S in Mathematics is 360. How many marks did P secure in Mathematics?

I. P secured one-third marks of the total of Q, R and S

II. Average marks obtained by Q and R are 20 more than that secured by S.

20. If R is an integer between 1 & 9, P-R = 2370 what is the value of R?

I. P is divisible by 4.

II. P is divisible by 9.