Numbers Worksheet-7

Numbers Worksheet-7

What largest number of five digits is divisible by 99 ?

(a) 99909 (b) 99981 (c) 99990 (d) 99999

The smallest number of five digits exactly divisible by 476 is :

(a) 10000 (b) 10472 (c) 10476 (d) 47600

On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is :

(a) 364724 (b) 365387 (c) 365737 (d) 366757

On dividing 4150 by a certain number, the quotient is 55 and the remainder is 25. The divisor is :

(a) 65 (b) 70 (c) 75 (d) 80

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is :

(a) 1220 (b) 1250 (c) 22030 (d) 220030

A four–digit number divisible by 7 becomes divisible by 3, when 10 is added to it. The largest such number is :

(a) 9947 (b) 9987 (c) 9989 (d) 9996

A number when divided by 114 leaves the remainder 21. If the same number is divided by 19, then the remainder will be :

(a) 1 (b) 2 (c) 7 (d) 21

A number when divided by 296 gives a remainder 75. When the same number is divided by 37, then the remainder will be :

(a) 1 (b) 2 (c) 8 (d) 11

A number when divided by 119 leaves 19 as remainder. If the same number is divided by 17, the remainder obtained is :

(a) 2 (b) 3 (c) 7 (d) 10

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be :

(a) 3 (b) 4 (c) 5 (d) 10

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

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

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

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

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

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

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

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

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

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

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

4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴ is divisible by :

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

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

(a) 12 (b) 24 (c) 12 –x (d) 16

Answer Key:

(1)-c; (2)-b; (3)-c; (4)-c; (5)-d; (6)-c; (7)-b; (8)-a; (9)-a; (10)-c; (11)-d; (12)-b; (13)-d; (14)-b; (15)-d; (16)-b; (17)-d; (18)-b; (19)-a; (20)-d; (21)-c; (22)-b; (23)-a