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Problems on LCM and HCF
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Three numbers are in the ratio 3:4:5 and their L.C.M is2400.
Their H.C.F is
80
200
40
120
Find the highest common factor of 36 and 84
4
6
12
18
The product of two numbers is4107.
If the H.C.F of these numbers is 37, then the greater number is
101
107
111
185
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is
235
123
305
127
Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case
4
3
5
6
Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case
17
16
19
18
Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case
1020
1026
1022
1030
Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder
5054
5016
5035
5073
Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively
143
260
169
221
A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in eachcase.
How many stones at least can there be in the heap
7203
4803
2403
3603
Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively
9666
9864
9664
9654
Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5
435
420
515
518
There are four prime numbers written in ascending order ofmagnitude.
The product of the first three is 7429 and of the last three is12673.
Find the fourth number
31
17
29
23
A room is 4 meters 37 cm long and 3 meters 23cmbroad.
It is required to pave the floor with minimum squareslabs.
Find the number of slabs required for this purpose
381
391
431
485
A merchant has three different types of milk: 435 liters, 493 liters and 551liters.
Find the least number of casks of equal size required to store all the milk without mixing
47
51
61
45
In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are
700,400
800,500
820,360
820,369
Least perfect square number, exactly divisible by 21, 36 and 56 is
441
3600
7056
504
The least number of five digits that have 144 their HCF is
10075
10080
10070
10085
The least number of four digits which is divisible by 4, 6, 8 and 10 is
1075
1080
1095
1085
Find the H.C.F of 12, 16, 18 and 24
3
4
1
2
1
2
3
5
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