DATA SUFFICIENCY- 1st part

Directions [Q. No.1.-25] : Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer

1)       If 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.

2)       If 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.

3)       If the data in both statements I and II together are necessary to answer the question.

4)       If the data either in statement I alone or in statement II alone are sufficient to answer the question

5)   If the data even in both statements I and II together are not sufficient to answer the question.

1. What is the value of X?                                                                                   [Ans. (3)]

       I.      x + y = 15               II.    3x – y = 1

2. What is the volume of a rectangular box R?                                                [Ans. (5)]

I.  The total surface area of R is 12 squares meter.

II. The height of R is 50 cms.

3. What is the first term in a sequence of numbers?                                        [Ans. (3)]

I.  The third term is 12.

II. The second term is twice the first and the third term is three times the second.

4. What is the value of a two digit number?                                                      [Ans. (5)]

I.  The sum of two digits is 4.

II. The difference between the two digits is 2.

5. What is the value of x + y?                                                                               [Ans. (5)]

I. x – 2y = 5.               II. x² – 25 = 4xy – 4y²

6. What is the value of x?                                                                                     [Ans. (5)]

I. x – 2y = 7.                   II. 4x – 28 = 8y.

7. What is the value of (x-y)?                                                                               [Ans. (1)]

I. x – y = y-x                          II. (x-y) = (x²- y²)

8. If y= 4 what is the value of y- x?                                                                     [Ans. (4)]

I. x=4.                                    II. x+ y = 8.

9. Is x is greater than y?                                                                                       [Ans. (5)]

I. x is greater than 145.       II. y is greater than 140.

10. Is x is greater than y?                                                                                    [Ans. (1)]

I. x – y = 25.                          II. 2x+ y =9.

 11. Is x greater than y?                                                                                       [Ans. (2)]

   I. x is a multiple of y               II. x/6=y/3

12. Is x > y?                                                                                                           [Ans. (3)]

  I. x²- 4x + 4 = 0                         II. y²- 6x +12 = 2y-4

13. If a and b are integers, is a + b an odd number?                                        [Ans. (5)]

 I. 8<a<11                                  II. 7<b<10

14. What percent of all the marbles in the bags were black?                          [Ans. (5)]

   I. The ratio of black to white marbles was 3 : 5

   II. There were exactly 5 brown marbles in the bag.

15. The price of which of the cars A and B was reduced by the largest amount?  [Ans. (5)]   

I. The price of car A is reduced by 10%

II. The price of car B is reduced by 8%

16. How many people heard my joke?                                                               [Ans. (3)]

   I. I told the joke to 3 friends, each of whom repeated it to 4 friends who did not tell anybody else

   II. No one heard the joke twice.

17. Is a² is an integer?                                                                                          [Ans. (1)]

   I. a is a negative whole number.

   II. 4a² is an integer.

 

18. Are two triangles congruent?                                                                       [Ans. (3)]

   I. They are both equilateral triangles

   II. They both have a equal base and equal heights

19. What are the dimensions of a certain rectangle?                                       [Ans. (3)]

   I. The perimeter of a rectangle is 14.

   II. The diagonal of rectangle is 5.

20. What % marks did he get in a test of 4 subjects?                                      [Ans. (5)]

   I. He got 90 in English and 84 in maths.

   II. He got 75 in Hindi and 76 in Sanskrit.

21. How long will it take two pipes A and B to empty or fill a tank that is ¾ full?   [Ans. (3)]

   I. pipe A can fill the tank in 12 minutes.

   II. Pipe B can empty the tank in 8 minutes.

22. A table had a marked price of rs 100. Discount of 20% and 25% are allowed. what is the cost of table to the dealer?                                                                                  [Ans. (3)]

   I. The Dealers profit is 30% of the selling price.

   II. He got 75 in Hindi and 76 in Sanskrit.