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QUESTION: 1

Four-fifth of one-eighth of 3/4^{th} of A is 64. What is the cube root of 3/5^{th} of A?

Solution:

QUESTION: 2

Find the least number that must be subtracted from 5607 so as to get a perfect square.

Solution:

Square of 75 is 5625

square of 74 is 5476

so use must get 5476

5607 - x is 5476

x is 131

square root of 5476 is 74

QUESTION: 3

What will be the number of zeros in the square of 60?

Solution:

QUESTION: 4

How many natural numbers lie between 9^{2} and 10^{2}?

Solution:

Between 9^{2} and 10^{2}

Here, n = 9 and n + 1 = 10

∴ Natural number between 9^{2} and 10^{2} are (2 × n) or 2 x 9, i.e. 18.

QUESTION: 5

Find the square of 39.

Solution:

(40-1)^{2 }= 1600+1-80 = 1521

QUESTION: 6

Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13

Solution:

QUESTION: 7

Find the square root of 729.

Solution:

QUESTION: 8

Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.

Solution:

QUESTION: 9

If a number has 1 or 9 in the unit’s place, then it’s square ends in ________.

Solution:

QUESTION: 10

None of the square numbers end with _________ at unit’s place.

Solution:

QUESTION: 11

________ is the inverse operation of square.

Solution:

QUESTION: 12

Find the perfect square numbers between 50 and 60.

Solution:

Since we have 72=49 and 82=64.There is no perfect square between 50 and 60.

QUESTION: 13

What is the least perfect square which is divisible by 2, 4 and 6?

Solution:

QUESTION: 14

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of plants in each row.

Solution:

QUESTION: 15

Find the greatest 4-digit number which is a perfect square.

Solution:

By division method we find the root of 9999 and we get the remainder 198.So subtracting 198 from 9999 we get 9801 as the greatest 4-digit perfect square.

QUESTION: 16

What will be the number of zeros in the square of 400?

Solution:

QUESTION: 17

What is smallest number with which 5400 may be multiplied so that the product is perfect cube?

Solution:

QUESTION: 18

The largest perfect square between 4 and 50 is

Solution:

QUESTION: 19

Without adding,find the sum of 1+3+5+7+9+11+13+15+17+19

Solution:

QUESTION: 20

Find the square root of 529.

Solution:

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