Approximation Aptitude Questions and Answers
81) \(\displaystyle 8787\div 343\times \sqrt{{50}}=?\)
(a) 250
(b) 140
(c) 180
(d) 100
(e) 280
Solution: (c)
\(\displaystyle 8787\div 343\times \sqrt{{50}}=?\)
\(\displaystyle \Rightarrow \)\(\displaystyle 25\times 7=?\)
\(\displaystyle ?=175\approx 180\)
82) \(\displaystyle \sqrt[3]{{54872}}\times (303\div 8)={{?}^{2}}\)
(a) 48
(b) 38
(c) 28
(d) 18
(e) 58
Solution: (b)
\(\displaystyle \sqrt[3]{{54872}}\times (303\div 8)={{?}^{2}}\)
\(\displaystyle \Rightarrow \)\(\displaystyle 38\times 37.8={{?}^{2}}\)
By approximation, take the nearest value of 37.8 to 38
\(\displaystyle ?=\sqrt{{38\times 38}}\)
\(\displaystyle ?=38\)
83) \(\displaystyle 335.01\times 244.99\div 55=?\)
(a) 1490
(b) 1550
(c) 1420
(d) 1590
(e) 1400
Solution: (a)
\(\displaystyle 335.01\times 244.99\div 55\)
\(\displaystyle \Rightarrow \)\(\displaystyle ?=\frac{{335\times 245}}{{55}}\)
\(\displaystyle ?=1492\approx 1490\)
\(\displaystyle ?=38\)
84) \(\displaystyle 18.001\times 22.999\times 9.998=?\)
(a) 4560
(b) 6290
(c) 4140
(d) 5920
(e) 5080
Solution: (c)
\(\displaystyle ?=18\times 23\times 10\approx 4140\)
85) \(\displaystyle 55.003\times 54.998+5.001=?\)
(a) 3500
(b) 3630
(c) 2540
(d) 3030
(e) 2750
Solution: (d)
By approximation method,take the values to nearest numbers of 5
\(\displaystyle ?=55\times 55+5=3025+5=3030\)
86) 999.0001 + 899.999 – 349.88 = ?
(a) 1549
(b) 1560
(c) 1449
(d) 1460
(e) None of these
Solution: (d)
\(\displaystyle ?=999+900-35=1549\)
87) \(\displaystyle {{2.0001}^{3}}\times {{1.999}^{{-2}}}\div {{3.999}^{{-4}}}=?\)
(a) 32
(b) 16
(c) 64
(d) 256
(e) 512
Solution: (e)
\(\displaystyle ?={{2}^{3}}\times {{2}^{{-2}}}\div {{4}^{{-4}}}\)
\(\displaystyle \frac{2}{{{{4}^{{-4}}}}}=2\times {{2}^{8}}={{2}^{9}}=512\)
88) \(\displaystyle 12.25\times ?\times 21.6=3545.64\)
(a) 20
(b) 12
(c) 15
(d) 13
(e) None of these
Solution: (d)
\(\displaystyle 12.25\times ?\times 21.6=3545.64\)
\(\displaystyle ?=\frac{{3545.64}}{{264.6}}=13.4\approx 13\)
89) \(\displaystyle [{{(1.3)}^{2}}\times {{(4.2)}^{2}}]\div 2.7=?\)
(a) 7
(b) 21
(c) 18
(d) 11
(e) 16
Solution: (d)
\(\displaystyle ?=\frac{{1.69\times 17.64}}{{2.7}}=11.04\approx 11\)
89) \(\displaystyle {{21.98}^{2}}-{{25.02}^{2}}+{{13.03}^{2}}=?\)
(a) 25
(b) 120
(c) 10
(d) 65
(e) 140
Solution: (a)
\(\displaystyle {{21.98}^{2}}\approx {{22}^{2}}\)
\(\displaystyle {{25.02}^{2}}\approx {{25}^{2}}\)
And \(\displaystyle {{13.03}^{2}}\approx {{13}^{2}}\)
By approximation, the equation will becomes
\(\displaystyle {{22}^{2}}-{{25}^{2}}+{{13}^{2}}=?\)
\(\displaystyle 484-625+169=?\)
\(\displaystyle 653-625=?\)
\(\displaystyle ?=28\)
so the nearest value is 25
90) \(\displaystyle 105.01\%of8451\times \frac{3}{7}\%of5006+9.999=?\)
(a) 8879
(b) 8860
(c) 8850
(d) 8760
(e) None of these
Solution: (b)
\(\displaystyle ?\approx \frac{{8450\times 105}}{{100}}-5006\times \frac{3}{{700}}+10\)
\(\displaystyle \approx 8872-21+10\approx 8860\)
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