Numbers Worksheet-14

Numbers Worksheet-14

1. Which of the following statements is true?

(a) 1 and -1 are reciprocal of themselves

(b) Zero has no reciprocal

(c) The product of two rational numbers is a rational number

(d) All of these

2. Which of the following statement is true?

(a)                                  (b)

(c)                                   (d)

3. The average of the middle two rational numbers if are arranged in ascending order is

(a)                   (b)                 (c)                  (d)

4. Name the property of multiplication illustrated by

(a) Closure property                    (b) Commutative property

(c) Associative property              (d) Distributive property

5. Which of the following statements are correct?

(1) Every integer is a rational number and every fraction is a rational number.

(2) A rational number is positive if p and q are either both positive and both negative.

(3) A rational number is negative if one of p and q is positive and other is negative q

(4) If there are two rational numbers with common denominator then the one with the larger numerator is larger than the other.

(a) Statements 1 and 4 are incorrect

(b) Statements 2 and 3 are incorrect

(c) Statement 1 is incorrect

(d) All the statements are correct

6. is a

(a) Positive rational number

(b) Negative rational number

(c) Either positive or negative rational number

(d) Neither positive nor negative rational number

7. Out of the rational numbers , which is the smallest?

(a)                                            (b)

(c)                                             (d) Cannot be compared

8. By what rational number should be multiplied to obtain 26?

(a)               (b)            (c)               (d)

9. The value of 63 · 7 – 28 · 89 + 76 · 4 – 37.66 is

(a) 73 · 50          (b) 73 · 52         (c) 73 · 55          (d) 73 · 58

10. Which one is correct?

(a) 0 · 658 < 0 · 732 < 0 · 514 < 0 · 813

(b) 0 · 514 < 0 · 658 < 0 · 732 < 0 · 813

(c) 0 · 813 < 0 · 732 < 0 · 658 < 0 · 514

(d) 0 · 514 < 0 · 732 < 0 · 658 < 0 · 813

11. If , then values of a, b and c are

(a) – 15, 25, –36                           (b) –36, – 15, 25

(c) 25, – 36, –15                           (d) – 15, – 36, 25

12. Which of the following alternatives is wrong? Given that

(1) Difference of two rational numbers is a rational number.

(2) Subtraction is commutative on rational numbers.

(3) Addition is not commutative on rational numbers.

(a) (2) and (3) (b) (1) only        (c) (1) and (3) (d) All of these

13. Which of the following is in ascending order?

(a)         (b)         (c)         (d)

(a)                    (b)                 (c)                  (d)

15. Out of the rational numbers , which is the greatest?

(a)                 (b)               (c)                 (d) Cannot be compared

16. The rational number

(a) Has a positive numerator

(b) Has a negative numerator

(c) Has either a positive numerator or a negative numerator

(d) Has neither a positive numerator nor a negative numerator

17. The value of X such that and are equivalent rational numbers is

(a) 64                  (b) –64               (c) –9                 (d) 9

18. If and be any two rational numbers, then we define:

Thus, subtracting a rational number means adding its additive inverse : based on the statements given above solve the following problem:

Subtract from .

(a)                 (b)               (c)                 (d)

19. The value is

(a)                   (b)                   (c)         (d)

20. A farmer has 192 animals out of which are cattle of cattle are dairy cows. How many dairy cows he has?

(a) 128                (b) 84                 (c) 56                  (d) 112

Answer Key:

(1)-(d); (2)-(b); (3)-(d); (4)-(d); (5)-(d); (6)-(d); (7)-(c); (8)-(b); (9)-(c); (10)-(b); (11)-(b); (12)-(a); (13)-(b); (14)-(c); (15)-(c); (16)-(d); (17)-(d); (18)-(a); (19)-(b); (20)-(c)