Squareroots & Cuberoots Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

7365 + $(5.4)^2 + √{?}$ = 7437.16

a) 1681

b) 1894

c) 1764

d) 2025

e) None of these

Question : 2

What is the least number to be added to 2000 to make it a perfect square?

a) 64

b) 25

c) 36

d) 49

e) None of these

Question : 3

The least number to be subtracted from 24136 to make it a perfect square

a) 111

b) 155

c) 156

d) None of these.

Answer: (a)

Let us extract the square root from 24136.

∴ 24136, is 111 more than $(155)^2$ .

So if we subtract 111 from 24136, we will get a perfect sq. number.

Question : 4

The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,

a) 4, 6, 8

b) 6, 9, 12

c) 12, 18, 24

d) 14, 21, 28

Question : 5

You have a rectangular frame that is 40 cm by 60 cm. Can you put a square picture that has an area of 800 $cm^2$ completely inside the frame?

a) No

b) Yes

c) Can't say

d) Data insufficient

Question : 6

The area of a circular play ground is ${3168}/{7}m^2$ . The diameter of the ground is

a) 22 m

b) 12 m

c) 24 m

d) 6 m