# LCM and HCF 1/3

15. The least perfect square number which is divisible by 3,4,5,6 and 8 is
a. 900
b. 1200
c. 2500
d. 3600

16. Three piece of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length. What is the greatest possible length of each plank?
a. 7 m
b. 14 m
c. 42 m
d. 63 m

17. The greatest number which can divide 1354, 1866, 2762 leaving the same remainder 10 in each case is :
a. 64
b. 124
c. 156
d. 260

18. A teacher when distributed certain number of chocolates to 4 children, 5 children, 7 children, left with 1 chocolate. Find the least number of chocolates the teacher brought to the class
a. 101
b. 111
c. 121
d. 141

19. When certain number of marbles are divided into groups of 4, one marble remained. When the same number of marbles are divided into groups of 7 and 12 then 4, 9 marbles remained. If the total marbles are less than 10,000 then find the maximum possible number of marbles.
a. 9116
b. 9987
c. 9991
d. 9993

20. Find the greatest number, which will divide 260, 281 and 303, leaving 7, 5 and 4 as remainders respectively.
a. 21
b. 22
c. 23
d. 27

21. Find the greatest number by which if we divide 740, 838 and 985, then in each case the remainder is the same
a. 38
b. 49
c. 59
d. 64