CHANDIGARH GROUP OF COLLEGES
L.C.M and H.C.F, Problem on Numbers
1. The L.C. M. of 26, 56, 104 and 182 is:
a) 546
b) 1274
c) 784
d) 728
2. The L.C.M. of 1/3, 5/6, 2/9, 4/27: (WIPRO)
a) 1/54
b) 10/27
c) 20/3
d) None
3. Two numbers are in the ratio of 15 : 11. If their H.C.F. is 13, then the numbers are
a) 75 , 55
b) 105, 77
c) 15, 11
d) 195, 143
4. HCF of two numbers is 11 & their LCM is 7700. If one of these numbers is 275, then the other one
(HCL)
a) 279
b) 283
c) 308
d) 318
5. The H.C. F. of 1095 and 1168 is:
a) 37
b) 73
c) 43
d) 83
6. Which of the following a pair of co-primes?
a) (18,25)
b ) (23,92)
c ) (16,62)
d ) (21,35)
7. The H.C.F. of 2/3, 8/9, 64/81, 10/27 is:
a) 2/3
b) 2/81
c) 160/3
d) 160/81
8. What is the greatest number that will divide 2400 and 1810 and leave the remainders 6 and 4
respectively? (HCL)
a) 588
b) 42
c) 294
d) 147
9. What is the greatest number that will divide 38, 45 and 52 and leave the remainders 2, 3, and 4
respectively? (TCS)
a) 8
b) 12
c) 9
d) 6
10. The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same
remainder. Find that number of three digits.
a)
291
b) 191
c) 391
d) None of these
11.What is the least number which. when divided by 52, leaves 33 as the remainder, when divided by
78 leaves 59, and when divided by 117 leaves 98 as the respective remainders ?
a) 449
b) 137
c) 85
d) None of these
12.Find the greatest number of six digits which, on being divided by 6, 7, 8, 9 and 10, leaves 4, 5, 6, 7
and 8 as remainders respectively (ACCENTURE)
a) 997918
b) 2520
c) 99918
d) None of these
13.Find the greatest number less than 900, which is divisible by 8, 12 and 28.
a) 168
b) 336
c) 840
d) None of these
14. Four bells ring at intervals of 6, 8, 12 and 18 seconds. They start ringing simultaneously at 12
o'clock. Find out when would the bells ring simultaneously again ? (INFOSYS)
a) 72 mins
b) 12 mins
c) 8 mins
d) 5 mins
15. What greatest number can be subtracted from 10,000 so that the remainder may be
divisible by 32, 36, 48 and 54? (INFOSYS)
a) 864
b) 456
c) 9136
d) None of these
16.The least number which when divided by 15, 27, 35 and 42, leaves in each case a remainder 7 is :
a) 1883
b)1897
c)1987
d)2007
17. Find the least no. of 5 digits which is exactly divisible by 89?
a) 10056
b) 10057
c)10058
d) 10059
18. Find out the least no. which when successively divided by 2,3,4 leaves remainder 1,2 and 1
respectively?
a) 34
b)35
c) 36
d)37
19. Find the no. of different divisors of 50 besides unity and the no. itself ? (WIPRO)
a) 3
b) 4
d) 5
d) 6
20. HCF of two numbers are 7 and their LCM is 154. How many pairs of such numbers are:
(COGNIZANT)
21. What is the unit digit in the expansion of the number 7352 ? (GOOGLE)
possible?
a) 1
b) 2
c) 3
d) 4
22. Which least no. should be subtracted from 427396 so that the remainder would be divisible by
15 ?
a) 6
b) 1
c) 16
d) 11
23. Find the value of x and y if a no. is divisible by 72? ( 75x31y ) (CAPGEMINI )
a) ( 0,2 )
b) ( 9,2 )
c) (1,3 )
d) (4,3 )
24. Find the value of x if a no. is divided by 11?
( 1568x352 )
25. A no. when divided by 121 leaves remainder 25. What is the remainder if the same no. is
divided by 11 ? (COGNIZANT)
a) 2
b) 3
c) 4
d) 5
26. A no. when divided by 5 leaves remainder 3. If a square of the same no. is divided by 5. What
will be the remainder ?
a) 4
b) 0
c) 3
d) 1
27. Find the least 6 digit no. which is divided by 8,10,12,15 ?
a) 100080
b) 100090
c) 100070
d) 100060
28. If the sum of a number and its square is 182. What is the number ?
a) 15
b) 26
c) 28
d) 13
29. The difference between the digits of a two digit no. is one-ninth of the difference between the
original no. and the no. obtained by interchanging the positions of the digits. What definitely is
the sum of the digits of that no. ? (ACCENTURE)
a) 5
b) 14
c) 12
d) data inadequate
30. The difference between a two digit no. and the no. obtained by interchanging the positions of
the digits of that no. is 54. What is the sum of the digits of that no. ?
a) 6
b) 9
c) 15
d) data inadequate
31. The product of two nos. is 192 and the sum of these two nos. is 28. What is the smaller of
these two numbers ?
a) 16
b) 14
c) 12
d) 18
32. The difference between a two digit no. and the no. obtained by interchanging the digits is 9.
What is the difference between the two digits of the no. ?
a) 8
b) 2
c) 7
d) 1
33. The difference between a two digit no. and the no. obtained by interchanging the digits is 45.
If the difference between the two digits of the number is 5, what is the original no. ?
a) 94
b) 83
c) 72
d) cannot be determined
34. If the numerator of a fraction is increased by 250 % and the denominator by 400 %, the
resultant fraction is 7/19. What is the original fraction ? (PATNI)
a) 10/19
b) 5/9
c) 9/5
d) 19/7
35. The product of two successive nos. is 6162. Which is the largest no. ?
a) 78
b) 77
c) 81
d) 79