Numbers Worksheet-4

Numbers Worksheet-4

1. The digit in the unit's place of the number represented by (7⁹⁵ – 3⁵⁸) is :

(a) 0                    (b) 4                    (c) 6                    (d) 7

2. If x is an even number, then x⁴ⁿ, where n is a positive integer, will always have :

(a) zero in the unit's place

(b) 6 in the unit's place

(c) either 0 or 6 in the unit's place

(d) None of these

3. The number of prime factors of (3 × 5)¹² (2 × 7)¹⁰ (10)²⁵ is :

(a) 47                  (b) 60                 (c) 72                  (d) None of these

4. 397 × 397 + 104 × 104 + 2 × 397 × 104 = ?

(a) 250001        (b) 251001         (c) 260101         (d) 261001

5. 186 × 186 + 159 × 159 – 2 × 186 × 159 = ?

(a) 729               (b) 1039             (c) 2019             (d) 7029

6. (475 + 425)² – 4 × 475 × 425 is equal to :

(a) 2500             (b) 3160             (c) 3500             (d) 3600

7. If (64)² – (36)² = 20z, the value of z is :

(a) 70                  (b) 120               (c) 180                (d) None of these

8. (46)² – (?)² = 4398 – 3066

(a) 16                  (b) 28                 (c) 36                  (d) 42

9. is equal to :

(a) 1                     (b) 2                    (c) 689               (d) 1023

10. is equal to:

(a) 2                    (b) 4                    (c) 295                (d) 643

11. The sum of first 45 natural numbers is :

(a) 1035             (b) 1280             (c) 2070             (d) 2140

12. The sum of even numbers between 1 and 31 is :

(a) 16                  (b) 128               (c) 240               (d) 512

13. (51 + 52 + 53 + ..... + 100) is equal to :

(a) 2525             (b) 2975             (c) 3225             (d) 3775

14. How many numbers between 200 and 600 are divisible by 4, 5 and 6 ?

(a) 5                    (b) 6                    (c) 7                    (d) 8

15. How many three–digit numbers are divisible by 6 in all ?

(a) 149                (b) 150                (c) 151                 (d) 166

16. If (1² + 2² + 3² + ..... + 10²) = 385, then the value of (2² + 4² + 6² + ..... + 20²) is :

(a) 770               (b) 1155              (c) 1540              (d) (385 × 385)

17. The value of (11² + 12² + 13² + 14² + ..... + 20²) is :

(a) 385               (b) 2485             (c) 2870             (d) 3255

18. If 1*548 is divisible by 3, which of the following digits can replace * ?

(a) 0                    (b) 2                    (c) 7                    (d) 5

19. 5*2 is a three–digit number with * as a missing digit. If the number is divisible by 6, the missing digit is :

(a) 2                    (b) 3                    (c) 6                    (d) 7

20. What least value must be assigned to * so that the number 63576*2 is divisible by 8 ?

(a) 1                     (b) 2                    (c) 3                    (d) 4

Answer Key:

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