1.

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

2.

Find the highest common factor of 36 and 84.

3.

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

4.

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

5.

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

6.

Which of the following has the most number of divisors?

**Answer: Option 'A'**

**Option A, 176 = 1 x 2 x 2 x 2 x 2 x 11.
Option B, 182 = 1 x 2 x 7 x 13.
Option C, 99 = 1 x 3 x 3 x 11.
Option D, 101 = 1 x 101.
Divisors of 99 are 1, 3, 9, 11, 33, 99.
Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176.
Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182..
Hence, 176 have the most number of divisors..**

7.

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

8.

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

9.

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

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