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Approximations Questions

41. Find the approximate value for the expression
53.002 * 9.97 * (257.32 ÷ 6.01) "“ (45 * 5) + 152.23 "“ 25.31 = ?




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Correct Ans:22692
Explanation:
53.002 * 9.97 * (257.32 ÷ 6.01) – (45 * 5) + 152.23 – 25.31 = ?

----> 53 * 10 * (258/6) – (45 * 5) + 152 – 25
----> 530 * 43 – 225 + 152 – 25

----> 22790 – 225 + 152 – 25

----> 22942 – 250 = 22692

Hence, the answer is : 22692
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42. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
(15)2 - 180.01 + √170 - 25% of 249.89 = ?




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Correct Ans:-5
Explanation:
(15)2 - 180.01 + √170 - 25% of 249.89 = ?
225 - 180 + 13 - (25/100)*250 = ?
225 - 180 + 13 - 62.5 = ?
? = -4.5
? ≅ -5.
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43. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
√? = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]3/2




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Correct Ans:216
Explanation:
√x = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]3/2
√x = [(625 + 24 - 359) - (253 + 31)]3/2
√x = [290 - 284]3/2
x = (6)(3/2)*2
x = (6)3 = 216
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44. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
9837 + 315*6 - 77*13 + 9.9% of 1575 = ?




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Correct Ans:10880
Explanation:
9837 + 315*6 - 77*13 + 9.9% of 1575 = x
9837 + 1890 - 1001 + (10*1575)/100 = x
x = 10726 + 157.5 = 10883.5 = 10880 (approx)
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45. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
24.97% of 1459.98 - ? % of 1120.4 = 29.04




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Correct Ans:30
Explanation:
24.97% of 1459.98 - x% of 1120.4 = 29.04
(25 * 1460)/100 - (x * 1120)/100 = 29
112x/10 = 365 - 29
x = (336 * 10)/112 = 30
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46. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
17.982 + ∜(15.98)2 + ∛?37 = 329




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Correct Ans:1
Explanation:
17.982 + ∜(15.98)2 + ∛x37 = 329
182 + ∜(16)2 + ∛x37 = 329
324 + 162/4 + ∛x37 = 329
4 + ∛x37 = 329 - 324
∛x37 = 5 - 4
∛x37 = 1
x = 1
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47. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
239.89% of 400.23 + (35.96)2 - 59.99% of 1999.89 = (24.89)2




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Correct Ans:431
Explanation:
239.89% of 400.23 + (35.96)2 - 59.99% of 1999.89 = (24.89)2 + ?
240% of 400 + 362 - 60% of 2000 = 252 + ?
(240/100)*400 + 1296 - (60/100)*2000 = 625 + ?
960 + 1296 - 1200 = 625 + ?
? = 431.
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48. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
√17398 * √11025 + √627 = ? - √731




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Correct Ans:9082
Explanation:
√7398 * √11025 + √627 = x - √731
√7398 * √11025 + √625 = x - √729
86 * 105 + 25 = x - 27
x = 9030 + 25 + 27 = 9082
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49. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
516 * 3719/31% of 2399 = 64 * 125.89/7.21 + ? - 1899




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Correct Ans:3330
Explanation:
516 * 3720 / 31% of 2400 = 64*126/7 + x - 1900
516 * 3720 / [(31/100)*2400] = 64*(126/7) + x - 1900
516 * 3720 / 744 = 1152 + x - 1900
516 * 5 = x - 748
x = 2580 + 748 = 3328
= 3330 (approx)
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50. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
√(223.89 + 59.87 - √(399.98) - 8) = ? - ∛511.98




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Correct Ans:24
Explanation:
√(223.89 + 59.87 - √(399.98) - 8) = x - ∛511.98
√(224 + 60 - √(400) - 8) = x - ∛512
√(224 + 60 - 20 - 8) = x - 8
√(256) = x - 8
16 = x - 8
x = 24
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51. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
√675 of 51.3% x √3024 ÷ (10.7/89.9) = 116.97 x ?




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Correct Ans:51
Explanation:
√675 of 51.3% x √3024 ÷ (10.7/89.9) = 116.97 x ?
√675 of 51% x √3024 ÷ (11/90) = 117 x ?
26 x (51/100) x 55 x (90/11) x (1/117) = ?
? = 51.
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52. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
(577.93 + ?)/15.97 + 61.87% of 1449.87 = - √2024.87 + 13.89% of 7099.97 




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Correct Ans:222
Explanation:
(577.93 + x)/15.97 + 61.87% of 1449.87 = - √2024.87 + 13.89% of 7099.97
(578 + x)/16 + (62/100)*1450 = - √2025 + (14/100) * 7100
(578 + x)/16 + 31*29 = - 45 + 14*71
(578 + x)/16 + 899 = - 45 + 994
(578 + x)/16 = 50
(578 + x) = 50*16
x = 800 - 578 = 222
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53. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
(36.01)3 * (4096)1/2 * (37.99)2 / (93 x 75.982) = 4?




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Correct Ans:5
Explanation:
(36.01)3 * (4096)1/2 * (37.99)2 / (93 x 75.982) = 4x
363 * 64 * 382 / (93 x 762) = 4x
(43 * 93 * 43 * 38 * 38) / (93 x 76 * 76) = 4x
(43 * 43) / 2 * 2 = 4x
4x = 4(2 + 3)
x = 5
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54. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
4.78% of 1255 + 3.24% of 440 = 0.5% of ?




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Correct Ans:14800
Explanation:
4.78% of 1255 + 3.24% of 440 = 0.5% of x
(4.78/100) * 1255 + (3.24/100) * 440 = (0.5/100) * x
4.8*12.5 + 3.2*4.4 = (0.5/100) * x
60 + 14 = (0.5/100) * x
x = (74*100)/0.5 = 14800
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55. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
1440.0003 ÷ 23.999 x 2.5 x 3 = ?




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Correct Ans:450
Explanation:
1440.0003 ÷ 23.999 x 2.5 x 3 = ?
1440 ÷ 24 x 2.5 x 3 = ?
60 x 2.5 x 3 = ?
? = 450.
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56.
What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.
12.03% of 849.95 + 1499.92% of 25.95 = 3.98 x ?




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Correct Ans:123
Explanation:
12.03% of 849.95 + 1499.92% of 25.95 = 3.98 x ?
12% of 850 + 1500% of 26 = 4 x ?
(12/100)*850 + (1500/100)*26 = 4 x ?
102 + 390 = 4 x ?
? = 492/4
? = 123.
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57. 47.03 x 26.96 +14.98 x (42900)1/3 + 234.88 x 4.965 = ?




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Correct Ans:2969
Explanation:
47.03 x 26.96 +14.98 x (42900)1/3 + 234.88 x 4.965 = ?
47 x 27 + 15 x (42900)1/3 + 235 x 5 = ?
1269 + 15 x (353)1/3 + 1175 = ?
1269 + 525 + 1175 = ?
? = 2969.
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58. [(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.872




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Correct Ans:323
Explanation:
[(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.872
[(177 + ?)/20] x 17 + 200 = 252
[(177 + ?)/20] x 17 = 625 - 200
177 + ? = (425 x 20)/17
177 + ? = 500
? = 500 - 177
? = 323.
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59. (439.92)/? = 7.993 - 2.033 - (242.04 x 1.99)




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Correct Ans:22
Explanation:
439.92/? = 7.993 - 2.033 - (242.04 x 1.99)
440/ ? = 83 - 23 - (242 x 2)
440/? = 512 - 8 - 484
? = 440/20
? = 22.
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60. √10000 + (3.001/4.987) of 1890.092 = ?




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Correct Ans:1234
Explanation:
√10000 + (3.001/4.987) of 1890.092 = ?
√10000 + (3/5)*1890 = ?
100 + 1134 = ?
? = 1234
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