# Approximations Questions and Answers updated daily – Aptitude

Approximations Questions: Solved 780 Approximations Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Approximations Questions

81. √6560 * 4.007 + 119.99 * 1.998 - 50.001% of 479.908 = ?

Correct Ans:324
Explanation:
√6560 * 4.007 + 119.99 * 1.998 - 50.001% of 479.908 = x
81 * 4 + 120 * 2 - 240 = x
x = 324
Workspace

82. 269.95% of 1560 – 120.03 × 27.89 + (13)2 – (14)2 = ?

Correct Ans:825
Explanation:
269.95% of 1560 – 120.03 × 27.89 + (13)2 – (14)2 = ?
270% * 1560 - 120 * 28 + 169 - 196 = x
x = 27 * 156 - 3360 + 169 - 196
x = 4212 - 3360 + 169 - 196
x = 825
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83. (39.99% of 2/5 + 60.05% of 1/5) Ã— 103 + ? = 1

Correct Ans:-279
Explanation:
(39.99% of 2/5 + 60.05% of 1/5) Ã— 103 + ? = 1
(40% * 2/5 + 60% * 1/5) Ã— 1000 + x â‰ˆ 1
x = 1 - (4/25 + 3/25) Ã— 1000
x = 1- (7/25 Ã— 1000) = 1 - 7*40
x = 1 - 280
x = - 279
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84. 40.01% 900.09 + (7.07 Ã— 99.99) / 14.14 + ? = 70.07% of 7000

Correct Ans:4490
Explanation:
â‡’ 40% 900 + (7 Ã— 100) / 14 + x = 70% of 7000
â‡’ (40/100 Ã— 900) + 50 + x = (70/100) Ã— 7000
â‡’ 360 + 50 + x = 4900
â‡’ x = 4900 â€“ 410
âˆ´ x = 4490
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85. 103 Ã— 1003 + 999999999 = 10? + 10?

Correct Ans:9, 9
Explanation:
Here, 103 Ã— 1003 + 999999999
= 103 Ã— (102)3 + 109
= 103 Ã— 106 + 109
= 103 + 6 + 109
= 109 + 109
Therefore, question mark will be replaced by 9.
Hence, option B is correct.
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86. What approximate value should come in place of (?) in the following question?
(1023.77)2 + (255.89)3/2 x 64.12 = (3.92)4 x 4?

Correct Ans:3
Explanation:
(1024)2 / (256)3/2 x 64 = 44 x 4x
(45)2 / (44)3/2 x 43 = 44 x 4x
410 / 46 x 43 = 44 x x
410-6+3-4 = 4x
43 = 4x
X=3
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87. What approximate value should come in place of (?) in the following question?
13.9 % of 742 - ? % of 393 = 89.78-(12.23)2

Correct Ans:40
Explanation:
14 % of 750 - x% of 400 = 90 - (12)2
(14/100) * 750 - (x/100) * 400 = 90 - 144
159/4 = X
X = 40
Workspace

88. What approximate value should come in place of (?) in the following question?
(52.13)2 / 13.9 x 7.2 + (44.78)2 = 5 x ? - 35% of 3097

Correct Ans:892
Explanation:
522 / 14 x 7 + 452 = 5x - 35 % of 3100
(52x52x7) / 14 + 2025 + (35/100) x 3100 = 5x
1352 + 2025 + 1085 = 5x
5x = 4462
x = 892.4 = 892
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89. 820.01 ÷ 21 * 2.99 + ? = 240

Correct Ans:123
Explanation:
820.01 ÷ 21 * 2.99 + x = 240
According to BODMAS rule,
820 ÷ 21 * 3 + ? = 240
39 * 3 + x = 240
x = 240 - 117
x = 123(approx)
Workspace

90. √527.995 + (9.9161)2 + (11.296)2 = ? ÷ 0.008/2

Correct Ans:1
Explanation:
√527.995 + (9.9161)2 + (11.296)2 = x ÷ 0.008 / 2
√529 + (10)2 + (11)2 = x * 2/0.008
23 + 100 + 121 = x * 2/(8*10-3)
244 = x * 103/4
244 = x * 250
x = 244/250 = 1(approx)
Workspace

91. √6725.002 * 3.416 - 24.012 - (?)2 = 132.66

Correct Ans:11
Explanation:
√6725.002 * 3.416 - 24.012 - (x)2 = 132.66
√6725 * 3.416 - 24.012 - (x)2 = 132.66
(82 * 3.416) - 24.012 - 132.66 = (x)2
(x)2 = 123.112
x = √123
x = 11 (approx)
Workspace

92. 19.99% of 789.907 * 15.08 + 111.999 Ã· 4.034 -
45% of 399.998 =?

Correct Ans:2220
Explanation:
19.99% of 789.907 * 15.08 + 111.999 Ã· 4.034 - 45% of
399.998 =x
(20*790)/100 * 15 + 112/4 - (45*400)/100 = x
(2*79*15) + 28 - (45*4) = x
2370 + 28 â€“ 180 =x
2218 = x
x = 2220 (approx)
Workspace

93. 12.5 * 14 ÷ 8.75+ 12 = 20 + ?

Correct Ans:12
Explanation:
12.5 * 14 ÷ 8.75+ 12 = 20 + x
According to BODMAS
12.5 * 1.6 + 12 = 20 + x
20 + 12 - 20 = x
x = 12
Workspace

94. √3840.56 x [(501.01)2 / 250] x 0.987 = ? * 1000

Correct Ans:62
Explanation:
√3840.56 x [(501.01)2 / 250] x 0.987 = x * 1000
61.5* [250000/250] *1 = 1000x
62*1000 = 1000x
x = 62
Workspace

95. (√7921 - √2070.25) * (1/4) = ?

Correct Ans:11
Explanation:
(√7921 - √2070.25) * (1/4) = x
(89 - 45.5) * 1/4 = x
x = 43.5/4 = 10.8
â‰… 11
Workspace

96. (36.14)2 - (21.28)2 = ?

Correct Ans:853
Explanation:
(36.14)2 - (21.28)2 = x
we know that,
a2 - b2 = (a+b)(a-b)
(36.14)2 - (21.28)2 = (36.14 + 21.28) (36.14 - 21.28)
= 57.42 * 14.86
= 853.26
â‰… 853
Workspace

97. 21% of 4200 + 47% of 3000 - ? = 17.001*21.998

Correct Ans:1918
Explanation:
21% of 4200 + 47% of 3000 - x = 17.001*21.998 (21*4200)/100 + (47*3000)/100 - x = 17*22
21*42 + 47*30 - x = 17*22
x = 1918
Workspace

98. √(59*98) + 587.10 - 0.005*200 = ?

Correct Ans:662
Explanation:
√(59*98) + 587.10 - 0.005*200
= √5782 + 587 - 5*10-3*200
â‰… 76+587 - 1
â‰… 662
Workspace

99. (17.95)Â² - (14.05)Â² + (2343.95 + 80.93) Ã· ? = 229

Correct Ans:24
Explanation:
(17.95)Â² - (14.05)Â² + (2343.95 + 80.93) Ã· x = 229
(2425/x) â‰… 229 + 14Â² - 18Â²
(2425/x) â‰… 229 + 196 - 324
(2425/x) â‰… 101
x â‰… (2425/101)
x â‰… 24
Workspace

100. (2505/15)*25 = ?% of 7865

Correct Ans:53%
Explanation:
(2505/15)*25 = x% of 7865
167*25 = (x*7865)/100
4175 = (x*7865)/100
x = (4175*100)/7865 = 53.08
x â‰… 53%
Workspace

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