1. The sum of two numbers is 1215
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)
