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) (242 + 144 / 3) / 36 = ?
- 54
- 34
- 44
- 48
- 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
- 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) / 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 = ?
- 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) (182 – 92 * 3) / (675 * ?) = 4
- 27
- 12
- 4.5
- 6
- 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 = ?
- 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
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] = ?
- 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.
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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