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

###### Show Answer

**Ans : b) 16**

(a+b)

^{2 }= a

^{2}+ b

^{2}+2ab

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

a) 6

b) 3

c) 5

d) 4

###### Show Answer

**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

###### Show Answer

**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

###### Show Answer

**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 }= a

^{3}+ b

^{3}+ 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

###### Show Answer

**Ans : a) 7**

=

= 35 * +21 = 38 *

= 3 * = 21, * = 7

**Q.6: ** is equal to

a) 0

b) 1

c) 10

d) 11

###### Show Answer

**Ans : b) 1**

(a – b)

^{2}= a

^{2}+b

^{2}-2ab

**Q.7:**

a)

b)

c)

d)

###### Show Answer

**Ans : d)**

=

=

=

**Q.8:** 5-[4-{3-(3-3-6)}] is equal to

a) 10

b) 6

c) 4

d) 0

###### Show Answer

**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)

###### Show Answer

**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

###### Show Answer

**Ans : b)112**

Number of Boys x Amount Contributed = 12544 = 112

^{2}

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

###### Show Answer

**Ans : c) 5**

a+b=37, a

^{2}-b

^{2}= 185

a

^{2}-b

^{2}= (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

###### Show Answer

**Ans : c) 123454321**

11

^{2}=121

111

^{2}=12321

1111

^{2}= 1234321

11111

^{2}= 123454321

**Q.14: **The square root of following is :

a) 0.5

b) 5

c) 50

d) 500

###### Show Answer

**Ans : c) 50**

Square Root is 50

**Q.15: ** is equal to :

a) -2

b) 2

c) 0

d) 1

###### Show Answer

**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

###### Show Answer

**Ans : b) 33**

10

^{2}+11

^{2}+12

^{2}= 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

###### Show Answer

**Ans : c) 1.633**

**Q.18: **The value of

a) 20

b) 40

c) 121.6

d) 131.6

###### Show Answer

**Ans : d) 131.6**

**Q.19:** is equal to :

a)

b)

c)

d)

###### Show Answer

**Ans : b)**

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

a) $latex \frac {5}{999}

b) $latex \frac {5}{3}

c) $latex \frac {1001}{999}

d) $latex \frac {1001}{3}

###### Show Answer

**Ans : d) $latex \frac {1001}{3}**

Simplification Objective Questions for Competitive Exams

### Type IV : Cube and Cube Root : Simplification

**Q.21: **What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?

a) 25

b) 5

c) 2

d) 3

###### Show Answer

**Ans : b) 5**

625 = 5x5x5x5

Divide by 5 for cube.

**Q.22: ** is equal to

a) 0.5

b) 0.15

c) 0.05

d) 0.005

###### Show Answer

**Ans : c) 0.05**

**Q.23:** is equal to :

a) 0.0002

b) 0.02

c) 0.002

d) 0.2

###### Show Answer

**Ans : d) 0.2**

**Q.24:** is equal to :

a)

b)

c)

d)

###### Show Answer

**Ans : b)**

**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

###### Show Answer

**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

###### Show Answer

**Ans : d) 4**

n

^{3}– n

^{2}=48

n

^{2}(n-1) =16×3 = 4

^{2}(4-1)

n = 4

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