Simplification & Approximation Questions (Chapter-9): Important MCQs to Ace Competitive Exams

Ace Competitive Exams: Simplification and Approximation Practice Questions. Boost your preparation for Indian competitive exams with these concise and challenging simplification and approximation questions, perfect for SSC, Banking, IBPS, CRPF, Police Constable, MTS, ICAR, Railway, ICAR, Delhi Police, CRPF, RBI, RRB, EPFO, CTET, UGC NET, DSSSB, RPF, DRDO, ISRO, CISF, CDS, NDA, ITBP, Airforce, BSF, CAT, CMAT, RPSC, HPSC, UPPSC, OPSC, MPPSC, MPSC, KPSC, TNPSC, UKPSC, BPSC, JKPSC, JPSC, WBPSC, GPSC, TPSC, TSPSC, PPSC, DSSSB & Others State SSC, CRPF, RBI, RRB, EPFO, CTET, UGC NET, DSSSB, RPF, DRDO, ISRO, CISF, CDS, NDA, ITBP, Airforce, BSF, CAT, CMAT & Others

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Simplification & Approximation Practice Test-1

	20 MCQs
	20 Marks
	30 Minutes

1 / 20

Approximate e³ x π² to the nearest whole number. (Use e = 2.718 and π = 3.141)

90

25

15

60

Explanation:

Approximate e³ and π², and then multiply them.
e³ x π² nearly equal to 2.718³ x 3.141² = 20.085 x 9.869 = 198.694
Rounded to the nearest whole number, it is 60.

2 / 20

The sum of the cubes of the numbers 22, –15 and –7 is equal to

3

6930

9630

Explanation:

Here, 22 - 15 - 7 = 0
We know that a³+b³+c³ = 3abc,
if a + b + c = 0
(22)³+(–15)³+(–7)³
= 3 x 22 x (–15) (–7) = 6930

3 / 20

Simplify the expression (3/4) * ((5/6) + (1/3)) - (2/5).

1/2

11/15

7/10

13/15

4 / 20

The value of 25 - 5 [2 + 3 (2 - 2 (5 - 3) + 5) - 10] ÷ 4 is :

23.25

23.75

5

25

5 / 20

If x = (5/6) - (1/3) + (1/4), what is the value of x as a fraction?

1/2

5/4

3/4

7/12

6 / 20

Simplify the expression ⅗ x 7/12 + ¾.

11/15

5/8

7/6

9/10

Explanation:

First, simplify the expression inside the parentheses:
⅗ x 7/12 = (3/5) x (7/12) = 21/60 = 7/20
Now, add 7/20 to 3/4:
7/20 + 3/4 = 7/20 + 15/20 = 22/20 = 11/10 = 1.1
So, the simplified value is 1.1, which is equivalent to 7/6.

7 / 20

Evaluate 2^10 - √144 + 1/2.

1506.5

1012.5

1196.5

1498.5

8 / 20

For what value of ?, statement [{(?)/21}/{(?)/189} = 1 is correct?

3969

147

63

21

9 / 20

Evaluate √(16²-9²).

15

17

13

25

10 / 20

What is the square root of 0.09?

0.3

0.03

3.0

0.003

11 / 20

If 15% of a number is 45, what is the number?

300

270

150

200

12 / 20

Simplify : 8½ -[3¼ ÷(1¼ - ½(1½-⅓-⅙))]

9½

4½

4⅙

2/9

13 / 20

What is the simplified value of √18 x √50 - √32?

√200

√50

4√2

2√2

14 / 20

If x = 1/4 + 1/8 + 1/16, what is the value of x as a fraction?

9/16

5/8

7/16

3/8

15 / 20

The square root of 0.342 x 0.684 / (0.000342 x 0.000171) =

2500

2000

250

4000

16 / 20

If I = 3/4 ÷ 5/6, II = 3 ÷ [(4 ÷ 5) ÷ 6], III = [3 ÷ (4 ÷ 5)] ÷ 6, IV = 3 ÷ 4 (5 ÷ 6) then

All are equal

I and III are equal

I and IV are equal

I and II are equal

17 / 20

What is the simplified value of 3.2 x (2.5 + 1.8)- 4.6?

12.7

13.2

11.9

14.5

18 / 20

Approximate π * 7² to the nearest tenth. (Use π = 3.141)

22.0

220.0

153.9

154.0

19 / 20

Find the value of √85.6 x √9.6

32.8

93.6

89.4

56.2

20 / 20

Approximate (29.7 x 48.6) / 9.2 to the nearest integer.

160

130

150

110

Topics/Syllabus covered in this Chapter’s Mock Test Series

Simplification and Approximation Questions
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