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and their HCF is 81. How many

such pairs of numbers can be

formed?

(1) 3 (2) 4

(3) 6 (4) None of these

2. Three plots having an area of

132, 204 and 228 square metres

respectively are to be subdivided into equal vegetable

beds. If the breadth of a bed is

3 metres, find the maximum

length that a bed can have.

(1) 14 metres (2) 4 metres

(3) 24 metres (4) 6 metres

3. Three plots having an area of

165, 195 and 285 square metres

respectively are to be sub-divided into equalised flower beds.

If the breadth of a bed is 3

metres, what will the maximum

length of a bed?

(1) 5.5 metres (2) 6 metres

(3) 5 metres (4) 6.5 metres

4. A room is 26 metres long and 10

metres broad. Its floor is to be

paved by square tiles. What will

be the least number of tiles required to cover the floor completely ?

(1) 50 (2) 55

(3) 60 (4) 65

5. Find the least number of square

tiles by which the floor of a room

of dimensions 16.58 × 8.32 m

can be covered completely?

(1) 348644 (2) 344864

(3) 384644 (4) None of these

6. A wine seller had three types of

wine, 403 litres of 1st kind, 434

litres of 2nd kind and 465 litres

of 3rd kind. Find the least possible number of casks of equal

size in which different types of

wine can be filled without mixing.

(1) 46 (2) 44

(3) 42 (4) 48

7. Find the greatest number which

will divide 478 and 719 leaving

remainders 2 and 5 respectively.

(1) 242 (2) 240

(3) 236 (4) 238

8. Find the greatest number which

will divide 42, 49 and 56 and

leave remainders 6, 7 and 8

respectively.

(1) 6 (2) 8

(3) 12 (4) 24

9. Find the greatest number which

divides 99, 123 and 183 leaving

the same remainder in each case.

(1) 11 (2) 12

(3) 13 (4) 14

10. On dividing the numbers 7654,

8506 and 9997 by a certain largest number, in each case the remainder is the same. Find the

number and the remainder.

(1) 213 and 199

(2) 223 and 189

(3) 233 and 179

(4) None of these

11. The numbers 2270, 3739 and

6677 on being divided by a certain number of three digits, leave

the same remainder. Find the

number and the remainder respectively.

(1) 123, 20 (2) 113, 10

(3) 116, 20 (4) 118, 15

12. On being divided by a three digit

number, the numbers 95336

and 91545 leave the same remainder. Find the number and

the remainder.

(1) 234 and 109

(2) 233 and 105

(3) 223 and 115

(4) None of these

13. The numbers 11284 and 7655

when divided by a number of

three digit, leave the same remainder. Find the number of

three digits.

(1) 292 (2) 219

(3) 119 (4) 191

14. What is the greatest number that

will divide 2930 and 3246 that

will leave 7 as remainder in each

case.

(1) 79 (2) 89

(3) 69 (4) 97

15. In finding the HCF of two numbers by division method, the last

divisor is 49 and the quotients

are 17, 3, 2. Find the two numbers.

(1) 243 and 4929

(2) 343 and 5929

(3) 334 and 5992

(4) None of these

answer:1. (2) 2. (2) 3. (3) 4. (4)

5. (2) 6. (3) 7. (4) 8. (1)

9. (3) 10. (1) 11. (2) 12. (3)

13. (4) 14. (1) 15. (2)