Squareroots & Cuberoots Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Squareroots & Cuberoots PRACTICE TEST [1 - EXERCISES]

Squareroots & Cuberoots Model Questions Set 1

Question : 21

The product of two numbers is 1936. If one number is 4 times the other, the numbers are

a) 22, 88

b) 16, 121

c) 44, 44

d) None of these.

Answer: (a)

Let one number = a

∴ Second number = 4a

⇒4a×a=1936

⇒$a^2=1936/4$=484

⇒$a^2$=484

⇒a=2×11=22

and 4a=4×22=88

∴ Numbers are 22 and 88.

Question : 22

What must be added to 24136 to make it a perfect square?

a) 200

b) 100

c) 111

d) None of these.

Answer: (a)

square-roots-and-cube-roots-mcq-problems-quantitative-aptitude

∴ 24136 < $(156)^2$

24136 < 24336

∴ we add 24336 – 24136 = 200

so that it becomes a perfect square

Question : 23

The smallest number by which 136 must be multiplied so that it becomes a perfect square is

a) 17

b) 2

c) 34

d) None of these

Answer: (c)

Resolve 136 into prime factors and make group of two of each prime factor

136=2×2×2×17

136=(2×2)×2×17

We find that 2 and 17 doesn't appear in group of two. So, 136 has to be multiplied with 34 to make it a perfect square.

Question : 24

38% of 295 + 62% of 445 = ?

a) 388

b) 380

c) 346

d) 391

e) None of these

Answer: (c)

$√{{444/37} + 15 + 11 × ?}$ = 7

⇒12+15+11× ? = 49⇒11 × ? = 49 - 27 = 22

∴ ? = ${22}/11$ = 2

Question : 25

(73425 – 33267 – 22418 – 17650) × $√{11025}$ = ?

a) 9785

b) 10165

c) 8370

d) 9450

e) None of these

Answer: (d)

IMPORTANT quantitative aptitude EXERCISES

Squareroots & Cuberoots Model Questions Set 1 Online Quiz

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