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1.

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

Answer» Money collected = (59.29 x 100) paise = 5929 paise. Number of members = 5929 = 77.
Discussion
2.

The cube root of .000216 is:

Answer» (.000216)1/3 = 216 1/3 106    = 6 x 6 x 6 1/3 102 x 102 x 102    = 6 102    = 6 100    = 0.06
Discussion
3.

The least perfect square, which is divisible by each of 21, 36 and 66 is:

Answer» L.C.M. of 21, 36, 66 = 2772. Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11 To make it a perfect square, it must be multiplied by 7 x 11. So, required number = 22 x 32 x 72 x 112 = 213444
Discussion
4.

How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

Answer» A number ending in 8 can never be a perfect square.
Discussion
5.

The square root of 64009 is:

Answer» 2|64009( 253 |4 |---------- 45|240 |225 |---------- 503| 1509 | 1509 |---------- | X |---------- 64009 = 253.
Discussion