Approximations Questions

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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

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 –

1. 12 3/88
2. 24 21/24
3. 12 25/224
4. 12 1/224
5. 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)] = ?

1. 2
2. 1
3. 4
4. 3
5. 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 = ?

1. 1830.72
2. 1829.28
3. 1831.72
4. 1831.28
5. 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

1. 2 ½
2. 4 ½
3. 6 ½
4. 5 ½
5. 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. 1
2. 2
3. 69/28
4. 66/17
5. 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 = ?

1. 888.888
2. 889.688
3. 890.488
4. 980.488
5. 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. 1 17/38
2. 1 38/17
3. 2 38/17
4. 2 17/38
5. 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) (24² + 144 / 3) / 36 = ?

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

Answer 9) 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

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) = ?

1. 0.125
2. 0.25
3. 0.5
4. 0.625
5. 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) / 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

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

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

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

Answer 14) 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

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?

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

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 = ?

1. 55606
2. 55697
3. 55967
4. 73373
5. 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

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

Answer 18) 4.5 * 2.75

Solution:

(2.75)³ – (2.00)³ – (0.75)³ 

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

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

Answer 20) 4

Solution:

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

Simplification Questions with Solutions as well as Approximation Questions are well provided on this page of recruitmentresult.com Individuals must prepare sincerely for the competitive examinations by doing regular practice of the topics that will help in scoring good marks at the examination time.

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