# 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.

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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. 1.144
2. 4
3. 5
4. 6
5. None of these

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 –

1. 12 3/88
2. 24 21/24
3. 12 25/224
4. 12 1/224
5. None of these

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)] = ?

1. 2
2. 1
3. 4
4. 3
5. None of these

Solution:

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

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

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

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

1. 1830.72
2. 1829.28
3. 1831.72
4. 1831.28
5. None of these

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

1. 2 ½
2. 4 ½
3. 6 ½
4. 5 ½
5. None of these

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. 1
2. 2
3. 69/28
4. 66/17
5. None of these

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

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

1. 888.888
2. 889.688
3. 890.488
4. 980.488
5. None of these

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. 1 17/38
2. 1 38/17
3. 2 38/17
4. 2 17/38
5. 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) (242 + 144 / 3) / 36 = ?

1. 54
2. 34
3. 44
4. 48
5. None of these

Solution:

(242 + 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. 1
2. 2
3. 2/3
4. 4
5. None of these

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) = ?

1. 0.125
2. 0.25
3. 0.5
4. 0.625
5. None of these

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) / 23(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 = ?

1. 6 1/8
2. 5 ¾
3. 6 ¾
4. 5 7/8
5. None of these

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

1. 7 * 102
2. 72 * 10
3. 2 * 7 * 102
4. (7 * 2)2 * 10
5. 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) (182 – 92 * 3) / (675 * ?) = 4

1. 27
2. 12
3. 4.5
4. 6
5. None of these

Solution:

(182 – 92 * 3) / (675 * ?) = 4

=> 27 * ? = 324 – 243

=> 27 * ? = 27(12 – 9) => ? = 3

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

1. 11
2. 12
3. 14
4. 19
5. None of these

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?

1. 8/15, 9/13, 6/11
2. 8/15, 6/11, 9/13
3. 9/13, 6/11, 8/15
4. 6/11, 8/15, 9/13
5. None of these

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

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

1. 55606
2. 55697
3. 55967
4. 73373
5. None of these

Solution:

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

Question 18) The value of (2.75)3 – (2.00)3 – (0.75)3 is

1. 3 * 2.75 * 2.75 * 2.75
2. 3 * 2.00 * 2.00 * 2.00
3. 3 * 2.75 * 0.75 * 2.75
4. 4.5 * 2.75
5. None of these

Solution:

(2.75)3 – (2.00)3 – (0.75)

a3 + b3 + c3 = (a + b + c)(a3 + b3 + c3 – ab – bc – ca)

If a + b + c = 0 then a3 + b3 + c3 = 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] = ?

1. 9
2. 16
3. 8
4. 12
5. 10

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

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

1. 1/20
2. 1/5
3. 1/25
4. 10
5. 4