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Approximations Questions

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




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




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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) × 103 + ? = 1




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




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Correct Ans:4490
Explanation:
⇒ 40% 900 + (7 × 100) / 14 + x = 70% of 7000
⇒ (40/100 × 900) + 50 + x = (70/100) × 7000
⇒ 360 + 50 + x = 4900
⇒ x = 4900 – 410
∴ x = 4490
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85. 103 × 1003 + 999999999 = 10? + 10?




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Correct Ans:9, 9
Explanation:
Here, 103 × 1003 + 999999999
= 103 × (102)3 + 109
= 103 × 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?




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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




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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
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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




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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




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




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




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




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Correct Ans:2220
Explanation:
19.99% of 789.907 * 15.08 + 111.999 ÷ 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 – 180 =x
2218 = x
x = 2220 (approx)
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93. 12.5 * 14 ÷ 8.75+ 12 = 20 + ?




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




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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
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95. (√7921 - √2070.25) * (1/4) = ?




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Correct Ans:11
Explanation:
(√7921 - √2070.25) * (1/4) = x
(89 - 45.5) * 1/4 = x
x = 43.5/4 = 10.8
≅ 11
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96. (36.14)2 - (21.28)2 = ?




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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
≅ 853
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97. 21% of 4200 + 47% of 3000 - ? = 17.001*21.998




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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
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98. √(59*98) + 587.10 - 0.005*200 = ?




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Correct Ans:662
Explanation:
√(59*98) + 587.10 - 0.005*200
= √5782 + 587 - 5*10-3*200
≅ 76+587 - 1
≅ 662
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99. (17.95)² - (14.05)² + (2343.95 + 80.93) ÷ ? = 229




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Correct Ans:24
Explanation:
(17.95)² - (14.05)² + (2343.95 + 80.93) ÷ x = 229
(2425/x) ≅ 229 + 14² - 18²
(2425/x) ≅ 229 + 196 - 324
(2425/x) ≅ 101
x ≅ (2425/101)
x ≅ 24
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100. (2505/15)*25 = ?% of 7865




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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 ≅ 53%
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