# APPLICATION PROBLEMS OF PERFECT SQUARE NUMBERS WORKSHEET

Problem 1 :

The smallest number added to 680621 to make the sum a perfect square is :

(a) 4     (b)  5    (c)  6   (d) 8

Solution

Problem 2 :

What is the smallest number to be added to 1000 to make the resulting figure as perfect square.

Problem 3 :

If √1369 + √(0.0615) + x = 37.25, then x is equal to

(a) 10-1         (b) 10-2           (c) 10-3         (d) None

Problem 4 :

The sum of two numbers is 22 and the sum of their square is 404, then the product of the numbers is

Problem 5 :

1)  4

2)  24

3)  x = 10-3

4)  xy = 40

5)  x = 27

Problem 1 :

What is the smallest number to be subtracted from 549162 in order to make it a perfect square?

a)   28     b)   36     c)   62     d)   81

Solution

Problem 2 :

What is the least number which should be subtracted from 0.000326 to make it a perfect square?

a)   0.000002   b)   0.000004    c)   0.02    d)   0.04

Problem 3 :

A general wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left ?

(a)  65     (b) 81   (c)  100   (d) None

Problem 4 :

Find the smallest number that must be subtracted to 1780 to make it a perfect square.

Problem 5 :

Find the least number which must be subtracted from 3250 so as to get a perfect square

1)  81

2)  0.000002

3)  100

4)  16

5)  1

Problem 1 :

The least number by which 294 must be multiplied to make it a perfect square, is

a)   2        b)   3        c)   6    d)   24

Solution

Problem 2 :

Find the smallest number by which 5808 should be multiplied so that the product becomes a perfect square.

a)   2      b)   3       c)   7        d)   11

Problem 3 :

By which least number should 22050 be multiplied such that the result is a perfect square.

Problem 4 :

Find the smallest common multiple of 48, 72 and 32 that is a perfect cube.

Problem 5 :

What is the smallest common multiple of 72 and 108 that is a perfect square ?

Problem 6 :

By which least number should 4375 be multiplied such that the result is a perfect square ?

Problem 7 :

By which least number should 72000 be multiplied such that the result is a perfect square ?

Solution

 1)  62)  33)  24)  6 5)  66)  77)  2

Problem 1 :

The least number, by which 1470 must be divided to get a number which is a perfect square, is:

a)   5    b)   6    c)   15     d)   30

Problem 2 :

By which least number should 3087 be divided in order to get a perfect square?

Problem 3 :

A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is

(a)  124   (b) 126  (c) 134   (d) 144

Problem 4 :

If 52/x = √(169/289), the value of x is

(a) 52   (b) 58   (c) 62   (d) 68

Solution

1)  30

2)  7

3)  124

4)  68

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