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 »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 »Answer: (a)
∴ 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 »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 »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 »Answer: (d)
IMPORTANT quantitative aptitude EXERCISES
Squareroots & Cuberoots Model Questions Set 1 Online Quiz
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