Question

1. The HCF and LCM of two numbers are 13 and 1989 respectively. If one
number is 117, find the other number.
2. Find the least number which when divided by 12, 21 as 35 leaves a
remainder 6 in each case.
3. Find the greatest number of five digits which when divided by 20,24 and
36 leaves remainder 9 in each case.
4. Find the greatest number which can divide 82 and 132 leaving 1 and 6
respectively as remainders.
5. Telephone poles occur at equal distances of 220 m along a railway track
and heaps of stones are put at equal distances of 360 m along the same
track. The first heap is at the foot of the first pole. How far from it along
the track is the next heap which lies at the foot of a pole?
6. Can two numbers have 18 as HCF and 220 as their LCM. Give reason
7. Find the least 5-digit number which is exactly divisible by 32, 36, 40, 45
and 48.
8. Find the value of x, if x : 400 = 6 : 25.
9. If the 1st, 3rd & 4th terms of a proportion is 20, 12 and 15 respectively,
find the 2nd term of the proportion.
10.The ratio of two numbers is 3 : 5. If their difference is 24, find the
numbers.

Answer 1

Answer:

1. (13*1989)/117 = 289
2. lcm +6 =420 + 6=426
3. 99720+9 =99729
4. hcf of 81 and 126 =9)
5. no
6. no, 220 not the multiple of 18
7. lcm*7=1440*7=10080
8. 96
9. 25
10. 60,36