Calculations Worksheet-8

Calculations Worksheet-8

1. When a number is divided by 31, the remainder is 29. When the same number is divided by 16, what will be the remainder ?

(a) 11                                                (b) 13

(c) 15                                               (d) Data inadequate

2. When a number is divided by 13, the remainder is 11. When the same number is divided by 17, the remainder is 9. What is the number ?

(a) 339                                            (b) 349

(c) 369                                            (d) Data inadequate

3. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is :

(a) 4236             (b) 4306            (c) 4336             (d) 5336

4. The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is :

(a) 240               (b) 270               (c) 295                (d) 360

5. In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is :

(a) 0                    (b) 12                  (c) 13                  (d) 20

6. When n is divided by 4, the remainder is 3. What is the remainder when 2n is divided by 4 ?

(a) 1                     (b) 2                    (c) 3                    (d) 6

7. A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is :

(a) 0                    (b) 1                    (c) 2                    (d) 3

8. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be :

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

9. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is :

(a) 214                (b) 476               (c) 954                (d) 1908

10. In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors of 585) and got the remainders 4, 8 and 12. If he had divided the number by 585, the remainder would have been :

(a) 24                  (b) 144                (c) 292               (d) 584

11. A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6 ?

(a) 2                    (b) 3                    (c) 4                    (d) 5

12. 4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴ is divisible by :

(a) 3                    (b) 10                  (c) 11                   (d) 13

13. If x is a whole number, then x² (x² –  1) is always divisible by :

(a) 12                  (b) 24                  (c) 12 – x           (d) 16

14. The fraction 101 in decimal form is :

(a) .01027          (b) .10127          (c) 101.00027   (d) 101.000027

15. When .36 is written in simplest fractional form, the sum of the numerator and the denominator is :

(a) 15                  (b) 45                  (c) 114                 (d) 135

16. What decimal of an hour is a second ?

(a) .0025           (b) .0256           (c) .00027         (d) .000126

Answer Key:

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