**Approximations Questions**

We have provided Simplification and Approximation Questions with complete solution on this page. If you are preparing for SSC/Bank or any other competitive examination, then go through these given **Approximations Questions** and solve it, as it will help you in improving your performance.

Simplification and Approximation Questions and Answers given here are of aptitude section. This topic requires practice, as once you know the steps that need to be followed in solving these types of Approximations Questions, then at exam time answers will be find out in just a minute.

**Approximations Questions**

**Question 1)** [(3.572)^{3} + (2.428)^{3}] / [(3.572)^{2} – (3.572) * (2.428) + (2.428)^{2}] is equal to

- 1.144
- 4
- 5
- 6
- None of these

**Answer 1) **6

__Solution__:

[(3.572)^{3} + (2.428)^{3}] / [(3.572)^{2} – (3.572) * (2.428) + (2.428)^{2}]

= {(3.572)^{2} – (3.572) * (2.428) + (2.428)^{2}}{3.752 + 2.428} / [(3.572)^{2} – (3.572) * (2.428) + (2.428)^{2}]

= 3.752 + 2.428 = 6

**Question 2)** 7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals –

- 12 3/88
- 24 21/24
- 12 25/224
- 12 1/224
- None of these

**Answer 2) **12 25/224

__Solution__:

7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/16

= 7 + 5 – (3/2 * 1/4) * 2/7 + 7/2 * 1/16 = 7 + 5 – 3/28 + 7/32

= 12 + 3/28 + 7/32 = 12 + (7 * 7 – 3 * 8)/224

= 12 + 25/224 = 12 25/224

**Question 3) **[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ?

- 2
- 1
- 4
- 3
- None of these

**Answer 3) **2

__Solution__:

[(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)]

= [(550 * 152) / 440] / [(110/44) * 38]

= (5 * 38)/(5/2 * 38) = 2

Get Here: __Chain Rule Aptitude Questions and Answers__

**Question 4) **1860 + 4/7 of 21.21 – 41.4 = ?

- 1830.72
- 1829.28
- 1831.72
- 1831.28
- None of these

**Answer 4) **1830.72

__Solution__:

1860 + 4/7 of 21.21 – 41.4 = 1860 + 4(3.03) – 41.4

= 1860 + 12.12 – 41.4 = 1872.12 – 41.4

= 1830.72

**Question 5) **(562 – 242) * 1/32 + ?% of 1200 = 146

- 2 ½
- 4 ½
- 6 ½
- 5 ½
- None of these

**Answer 5) **5 ½

__Solution__:

(562 – 242) * 1/32 + ?% of 1200 = 146

=> (3136 – 576) * 1/32 + ?/32 of 1200 = 146

=> 2560/32 + ? * 12 = 146 => ? * 12 = 146 – 80

=> ? = 66/12 => 5 ½

**Question 6) **(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = ?

- 1
- 2
- 69/28
- 66/17
- None of these

**Answer 6) **69/28

__Solution__:

(22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = (22 * 33 * 15 + 9 * 99 * 2 * 22) / (33 * 22 * 8 + 5 * 11 * 22 * 12)

= (22 * 33 * 15 + 22 * 33 * 54) / (33 * 22 * 8 + 33 * 22 * 20) = [22 * 33(15 + 54)] / [33 * 22(8 + 20)] = 69/28

Solve Out: __Important Arithmetic Progression Questions__

**Question 7)** 8.008 + 0.8 + 80.8 + 800.8 + 0.08 = ?

- 888.888
- 889.688
- 890.488
- 980.488
- None of these

**Answer 7) **890.488

__Solution__:

8.008 + 0.8 + 80.8 + 800.8 + 0.08

= 8 + 0.008 + 0.8 + 80 + 0.8 + 800 + 0.8 + 0.08

= 8 + 80 + 800 + 0.008 + 0.08 + 0.8 + 0.8 + 0.8

= 888 + 2.488 = 890.488

**Question 8) **[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = ?

- 1 17/38
- 1 38/17
- 2 38/17
- 2 17/38
- None of these

**Answer 8) **None of these

__Solution__:

[(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)]

= [(6225/250) + (125/5)] / (6.75 + 12.25)

= (249/10 + 25) / 19 = 499/190 = 2 119/190

**Question 9) **(24^{2} + 144 / 3) / 36 = ?

- 54
- 34
- 44
- 48
- None of these

**Answer 9) **None of these

__Solution__:

(24^{2} + 144 / 3) / 36 = (24 * 24 + 48)/36

= [12(48 + 4)]/(12 * 3) = 52/3 = 17 1/3

Check Out: __22+ Partnership Questions and Answers__

**Question 10)** 2 1/3 + 4 1/6 – 2 2/3 – 1 1/2 = 2 ?/3

- 1
- 2
- 2/3
- 4
- None of these

**Answer 10) **1

__Solution__:

2 1/3 + 4 1/6 – 2 2/3 – 1 1/2 = 2 ?/3

= 7/3 + 25/6 – 8/3 – 3/2 = (14 + 25 – 16 – 9)/6 = 7/3 = 2 1/3

? = 1

**Question 11) **(0.9 * 0.9 * 0.9 + 0.8 * 0.8 * 0.8) / (1.6 * 1.6 * 1.6 + 1.8 * 1.8 * 1.8) = ?

- 0.125
- 0.25
- 0.5
- 0.625
- None of these

**Answer 11) **0.125

__Solution__:

(0.9 * 0.9 * 0.9 + 0.8 * 0.8 * 0.8) / (1.6 * 1.6 * 1.6 + 1.8 * 1.8 * 1.8)

= (0.9 * 0.9 * 0.9 + 0.8 * 0.8 * 0.8) / 2^{3}(0.8 * 0.8 * 0.8 + 0.9 * 0.9 * 0.9) = 1/8 = 0.125

**Question 12)** 6 of 5/8 / 5/8 – 1/8 = ?

- 6 1/8
- 5 ¾
- 6 ¾
- 5 7/8
- None of these

**Answer 12) **5 7/8

__Solution__:

6 of 5/8 / 5/8 – 1/8

30/8 * 8/5 – 1/8 = 6 – 1/8 = 5 7/8

Get Here: __Permutation Combination Questions__

**Question 13)** 25% of ? + 36% of 1225 = 816

- 7 * 102
- 72 * 10
- 2 * 7 * 102
- (7 * 2)2 * 10
- None of these

**Answer 13) **None of these

__Solution__:

25% of ? + 36% of 1225 = 816

=> 25/100 of ? + 36/100 of 1225 = 816

=> 1/4 * ? + 9/25 * 1225 = 816 => 1/4 * ? = 816 – 9(49)

=> ? = 4(816 – 441) => ? = 1500

**Question 14) **(18^{2} – 9^{2} * 3) / (675 * ?) = 4

- 27
- 12
- 4.5
- 6
- None of these

**Answer 14) **None of these

__Solution__:

(18^{2} – 9^{2} * 3) / (675 * ?) = 4

=> 27 * ? = 324 – 243

=> 27 * ? = 27(12 – 9) => ? = 3

**Question 15)** {20 – [7 – (3 -2)] + 1/3 (4.2)} / 1.4 = ?

- 11
- 12
- 14
- 19
- None of these

**Answer 15) **11

__Solution__:

{20 – [7 – (3 -2)] + 1/3 (4.2)} / 1.4

=> [20 – (7 – 1) + 1.4] / 1.4

=> (20 – 6 + 1.4)/1.4 = 10 + 1 = 11

**Question 16) **Which of the following groups of fractions is in descending order?

- 8/15, 9/13, 6/11
- 8/15, 6/11, 9/13
- 9/13, 6/11, 8/15
- 6/11, 8/15, 9/13
- None of these

**Answer 16) **9/13, 6/11, 8/15

__Solution__:

The fractions considered are 8/15 9/13 6/11

To compare them we make the denominators the same. So the fractions are

(8 * 13 * 11)/2145, (9 * 15 * 11)/2145 and (6 * 15 * 13)/2145

1144/2145, 1485/2145 and 1170/2145

so in descending order the fractions will be

1485/2145, 1170/2145 and 1144/2145 i.e., 9/13 , 6/11 , 8/15

Solve Here: __55+ Mixture and Alligation Practice Questions__

**Question 17) **64309 – 8703 + 798 – 437 = ?

- 55606
- 55697
- 55967
- 73373
- None of these

**Answer 17) **55967

__Solution__:

64309 – 8703 + 798 – 437 => 65107 – 9140 = 55967

**Question 18)** The value of (2.75)^{3} – (2.00)^{3} – (0.75)^{3} is

- 3 * 2.75 * 2.75 * 2.75
- 3 * 2.00 * 2.00 * 2.00
- 3 * 2.75 * 0.75 * 2.75
- 4.5 * 2.75
- None of these

**Answer 18) **4.5 * 2.75

__Solution__:

(2.75)^{3} – (2.00)^{3} – (0.75)^{3 }

a^{3} + b^{3} + c^{3} = (a + b + c)(a^{3} + b^{3} + c^{3} – ab – bc – ca)

If a + b + c = 0 then a^{3} + b^{3} + c^{3} = 3abc

Hence 2.75 – 2.00 – 0.75 = 0

So, (2.75)^{3} – (2.00)^{3} – (0.75)^{3}

= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75

= 4.5 * 2.75

**Question 19)** 7 + 1/2 of [8 – 4 / 2 * 3 – 1 + 1 + (4 + 2) – 2 * 2] = ?

- 9
- 16
- 8
- 12
- 10

**Answer 19) **8

__Solution__:

Applying BODMAS rule

= 7 + 1/2 of [8 – 4 / 2 * 3 – 2 + (4 + 2) – 2 * 2]

= 7 + 1/2 of [8 – 2 * 3 – 2 + 6 – 4]

= 7 + 1/2 of (2) = 8

Download PDF of: __Number Series Question__

**Question 20)** (1.9 * 0.021) / (0.095 * 0.105) = ?

- 1/20
- 1/5
- 1/25
- 10
- 4

**Answer 20) **4

__Solution__:

(1.9 * 0.021) / (0.095 * 0.105) = (19 * 21 * 100) / (95 * 105) = 4.

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