# Simplification Questions for Competitive Exams

Simplification MCQ Questions for Competitive Exams. Objective Questions selected from the previous year Exam Question paper of SSC CGL, CPO, CHSL, GD, Police, Bank and UPSSSC. Type wise Question and Answer with solution and explanation.

## Simplification Questions : Type wise

### Type I : BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction)

Q.1:
a) 15
b) 16
c) 17
d) 18

Ans : b) 16
(a+b)2 = a2 + b2 +2ab

Q. 2: The simplified value of the following is :

a) 6
b) 3
c) 5
d) 4

Ans : a) 6
= =1+15-10 =6

Q.3: (0.9 × 0.9 × 0.9 + 0.1 × 0.1 × 0.1) is equal to
a) 0.73
b) 0.82
c) 0.91
d) 1.00

Ans : a) 0.73
(0.9)3 + (0.1)3 = 0.729 + 0.001 = 0.730

Q.4: The value of the following is
(0.98)3 + (0.02)3 + 3 x 0.98 x 0.02 -1
a) 1.98
b) 1.09
c) 1
d) 0

Ans : d) 0
(0.98)3 + (0.02)3 + 3 x 0.98 x 0.02 -1 = (0.98)3 + (0.02)3 + 3 x 0.98 x 0.02 (0.98 + 0.02) -1
= (0.98 + 0.02)3 -1 = 1-1 =0
(a+b)3 = a3 + b3 + 3ab (a+b)

Q.5: If * represent a number, than the value of * in following equation is

a) 7
b) 4
c) 6
d) 2

Ans : a) 7
=
= 35 * +21 = 38 *
= 3 * = 21, * = 7

Q.6: is equal to
a) 0
b) 1
c) 10
d) 11

Ans : b) 1
(a – b)2 = a2 +b2 -2ab

Q.7:
a)
b)
c)
d)

Ans : d)
=
=
=

Q.8: 5-[4-{3-(3-3-6)}] is equal to
a) 10
b) 6
c) 4
d) 0

Ans : a) 10
5-[4-{3-(3-3-6)}] = 5-[4-{3-(-6)}] = 5-[4-{3+6}] = 5-[4-9] =5 -[-5] =10

### Type-II: Continued Fraction : Simplification Questions

Q.9: Find the value of

a)
b)
c)
d)

Ans : c) [\toggle]

Q.10: If
than the value of is
a)
b)
c)
d)
[toggle] Ans : b)

Simplification MCQ Questions for Competitive Exams

### Type – III: Square and Square Root : Simplification for Competitive Exams

Q.11: A number of boys raised ₹ 12544 for a famine fund, each boy has given as many rupees as there were boys. The number of boys was ?
a) 102
b) 112
c) 122
d) 132

Ans : b)112
Number of Boys x Amount Contributed = 12544 = 1122
Number of Boys = Amount Contributed = 112

Q.12: The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :
a) 10
b) 4
c) 5
d) 3

Ans : c) 5
a+b=37, a2-b2 = 185
a2-b2 = (a-b) (a+b)
185 = (a-b) x 37
a-b = 185/37 =5

Q.13: The value of (11111)2 is
a) 12344321
b)121212121
c) 123454321
d) 11244311

Ans : c) 123454321
112 =121
1112 =12321
11112 = 1234321
111112 = 123454321

Q.14: The square root of following is :

a) 0.5
b) 5
c) 50
d) 500

Ans : c) 50

Square Root is 50

Q.15: is equal to :
a) -2
b) 2
c) 0
d) 1

Ans : b) 2
8-6=2

Q.16 : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is :
a) 30
b) 33
c) 36
d) 45

Ans : b) 33
102+112+122 = 100+121+144 = 365
10+11+12 = 33

Q.17: Given that is approximately equal to 4.898. Then is nearly equal to :
a) 0.544
b) 1.333
c) 1.633
d) 2.666

Ans : c) 1.633

Q.18: The value of
a) 20
b) 40
c) 121.6
d) 131.6

Ans : d) 131.6

Q.19: is equal to :
a)
b)
c)
d)

Ans : b)

Q.20: When simplified, the product is equals to :

a) latex \frac {5}{3}
c) latex \frac {1001}{3}

Ans : d) latex \frac 35 \times \frac 75 \times \frac 97 \times …….. \times \frac{1001}{999} = \frac{1001}{3} latex \sqrt [3]{0.000125}latex \sqrt [3]{0.000125} = \sqrt [3]{(0.05)^3} = 0.05 latex \sqrt[3]{\sqrt{0.000064}} latex \sqrt[3]{\sqrt{0.000064}} = \sqrt[3]{0.008} = 0.2 latex \sqrt[3]{\frac{19}{513}}latex \frac{1}{9}latex \frac{1}{3}latex \frac{1}{ \sqrt{27}}latex \frac{1}{\sqrt{3}}latex \frac{1}{3}latex \sqrt[3]{\frac{19}{513}} = \sqrt[3]{\frac{1}{27}} = \frac13\$

Q.25: The least possible value of A for which 90 × A is a perfect cube is :
a) 200
b) 300
c) 500
d) 600

Ans : b) 300
90 x A = 2x3x3x5xA
Therefore, A = 2x2x3x5x5 = 300

Q.26: The square of a natural number subtracted from its cube is 48. The number is :
a) 8
b) 6
c) 5
d) 4

Ans : d) 4
n3 – n2 =48
n2(n-1) =16×3 = 42(4-1)
n = 4

Thanks for attempt Simplification Questions for Govt jobs Competitive Exams

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