Q1. The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is
(a) 576
(b) 1296
(c) 432
(d) 144
Q2. LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:
(a) 5
(b) 25
(c) 45
(d) 225
Q3. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then, that number is:
(a) 78
(b) 91
(c) 104
(d) 117
Q4. The least number which when divided by 4, 6, 8, 12 or 16 leaves a remainder of 2 in each case is:
(a) 46
(b) 48
(c) 50
(d) 56
Q5. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case is:
(a) 456
(b) 454
(c) 540
(d) 544
Q6. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:
(a) 91
(b) 910
(c) 1001
(d) 1911
Q7. Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously?
(a) 12 hrs. 2 min. 48 sec
(b) 12 hrs. 3 min.
(c) 12 hrs. 3 min. 20 sec
(d) 12 hrs. 3 min. 44 sec
Q8. The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers?
(a) 8 and 6
(b) 8 and 10
(c) 2 and 4
(d) 6 and 4
Q9. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is:
(a) 10
(b) 46
(c) 70
(d) 90
Q10. Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is:
(a) 966
(b) 696
(c) 669
(d) 666
Q11. The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M?
(a) 24
(b) 48
(c) 56
(d) 60
Q12. The LCM and the HCF of the numbers 28 and 42 are in the ratio:
(a) 6 : 1
(b) 2 : 3
(c) 3 : 2
(d) 7 : 2
Q13. The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is:
(a) 70
(b) 1690
(c) 364
(d) 1264
Q14. The LCM of two numbers is 1920 and their HCF is 16. If one of the numbers is 128, find the other number:
(a) 204
(b) 240
(c) 260
(d) 320
Q15. Find the greatest number of five digits which when divided by 3, 5, 8, 12 leaves 2 as remainder
(a) 99999
(b) 99948
(c) 99962
(d) 99722
Solutions
1.C
2.C
3.B
4.C
5.D
6.A
7.A
8.D
9.A
10.B
11.D
12.A
13.C
14.B
15.C
