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# LCM and HCF 1/2

8. Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
a. 4
b. 10
c. 15
d. 16

9. LCM of 87 and 145 is :
a. 870
b. 1305
c. 435
d. 1740

10. The traffic lights at three different road crossing change after every 48 sec; 72 sec; and 108 sec., respectively. If they all change simultaneously at 8:20:00 hrs, then they will again change simultaneously at
a. 8:27:12 Hrs
b. 8:27:24 Hrs
c. 8:27:36 Hrs
d. 8:27:48 Hrs

11. The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively is
a. 127
b. 235
c. 260
d. 305

12. The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divisible by 3, then the first number is
a. 264
b. 132
c. Both a and b
d. 33

13. What least number must be subtracted from 1294 so that the remainder when divided 9, 11, 13 will leave in each case the same remainder 6 ?
a. 0
b. 1
c. 2
d. 3

14. The least number which is divisible by 12, 15, 20 and is a perfect square, is
a. 400
b. 900
c. 1600
d. 3600