Squareroots & Cuberoots Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 1 EXERCISES
The following question based on Squareroots & Cuberoots topic of quantitative aptitude
(a) 20
(b) 10
(c) $√5$
(d) $(25)^2$
e) 5
The correct answers to the above question in:
Answer: (e)
169 – 25 – 26 + 7 = $(?)^2 = 125 = ?^2⇒? = √125 = 5 √5$
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Question : 1
The hypotenuse of an isosceles right angled triangular field has a length of $30√2$ m, the length of other side is
a) 30 m
b) $30√2$
c) 25 m
d) None of these
Answer »Answer: (a)
$(30√2)^2=a^2+a^2$
1800=$2a^2$
$a^2$=900
a = 30m
Question : 2
$(13)^2 - (4)^3$ - $√{676}$ + 2 = $(?)^2$
a) 9
b) 3
c) 81
d) 27
e) 18
Answer »Answer: (a)
169 – 64 – $√{676} + 2 = (?)^2$
= 169 – 64 – 26 + 2 = $(?)^2$ = 171 – 90 = 81
∴ ? = 9
Question : 3
$(656 ÷ 164)^2 = √{?}$
a) 16
b) 14
c) 64
d) 256
e) None of these
Answer »Answer: (d)
$√{?}=4^2$ =16
∴? = 256
Question : 4
1190 ÷ $√7225$ × ? = 3094 =
a) 121
b) 221
c) 214
d) 241
e) None of these
Answer »Answer: (b)
$1190/√{7225}$ ×? = 3094 = or, ${1190 × ?}/85$ = 3094
or, ? = ${3094 × 85}/1190$ = 221
Question : 5
$√{12 × 145 ÷ 6 + 34}$ = ?
a) $(324)^2$
b) – 18
c) 18
d) $√18$
e) None of these
Answer »Answer: (c)
Question : 6
The smallest number by which 3888 must be divided so that the resulting number is a perfect square is
a) 6
b) 2
c) 3
d) None of these.
Answer »Answer: (c)
Resolving 3888 into its prime factors, we find that
3888=2×2×2×2×3×3×3×3×3
3888 = (2×2) × (2×2) × (3×3) × (3×3) ×3
Here we find that prime factor 3 is appearing alone.
So, if we divide 3888 by 3, we will get a perfect square number
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