Numbers Worksheet-5

Numbers Worksheet-5

1. What least value must be given to * so that the number 451*603 is exactly divisible by 9?

(a) 2                    (b) 5                    (c) 7                    (d) 8

2. How many of the following numbers are divisible by 3 but not by 9 ?

2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

(a) 5                    (b) 6                    (c) 7                    (d) None of these

3. Which one of the following numbers is exactly divisible by 11 ?

(a) 235641         (b) 245642        (c) 315624         (d) 415624

4. What least value must be assigned to * so that the number 86325*6 is divisible by 11 ?

(a) 1                     (b) 2                    (c) 3                    (d) 5

5. A number 476**0 is divisible by both 3 and 11. The non–zero digits in the hundredth and tenth place respectively are :

(a) 7, 4                (b) 7,5                 (c) 8, 5                (d) None of these

6. Which of the following numbers is divisible by 3, 7, 9 and 11 ?

(a) 639               (b) 2079             (c) 3791              (d) 37911

7. The value of P, when 4864 × 9P2 is divisible by 12, is :

(a) 2                    (b) 5                    (c) 8                    (d) None of these

8. Which of the following  numbers is exactly divisible by 24 ?

(a) 35718           (b) 63810          (c) 537804        (d) 3125736

9. If the number 42573* is completely divisible by 72, then which of the following numbers should replace the asterisk ?

(a) 4                    (b) 5                    (c) 6                    (d) 7

10. Which of the following numbers is exactly divisible by 99 ?

(a) 114345         (b) 135792         (c) 913464         (d) 3572404

11. The digits indicated by * and $ in 3422213*$ so that this number is divisible by 99, are respectively :

(a) 1, 9                (b) 3, 7               (c) 4, 6                (d) 5, 5

12. If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y is equal to :

(a) 2                    (b) 3                    (c) 4                    (d) 6

13. How many of the following numbers are divisible by 132 ?

264, 396, 462, 792, 968, 2178, 5184, 6336

(a) 4                    (b) 5                    (c) 6                    (d) 7

14. 6897 is divisible by :

(a) 11 only                                       (b) 19 only        

(c) both 11 and 19                         (d) neither 11 nor 19

15. Which of the following numbers is exactly divisible by all prime numbers between 1 and 17 ?

(a) 345345                                     (b) 440440

(c) 510510                                      (d) 515513

16. 325325 is a six–digit number. It is divisible by :

(a) 1 only            (b) 11 only          (c) 11 only          (d) all 7, 11 and 13

17. The number 311311311311311311311 is :

(a) divisible by 3 but not by 11

(b) divisible by 11 but not by 3

(c) divisible by both 3 and 11

(d) neither divisible by 3 nor by 11

18. There is one number which is formed by writing one digit 6 times

(e.g. 111111, 444444 etc.). Such a number is always divisible by :

(a) 7 only           (b) 11 only          (c) 13 only          (d) All of these

19. A 4–digit number is formed by repeating a 2–digit number such as 2525, 3232 etc. Any number of this form is exactly divisible by :

(a) 7                                                 (b) 11

(c) 13                                               (d) smallest 3–digit prime number

20. A six–digit number is formed by repeating a three–digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :

(a) 7 only           (b) 11 only          (c) 13 only          (d) 1001

Answer Key:

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