mcq on simplification with answers for ssc exams
71) 12.8% of 715 = ?
(a) 91.25
(b) 92.15
(c) 95.12
(d) 93.21
(e) None of these
Solution: (e)
\(\displaystyle 12.8\%of715=12.8\times \frac{{715}}{{100}}=\frac{{9152}}{{100}}=91.52\)
72) \(\displaystyle 3596-2832+2040=?\times 40\)
(a) 67.4
(b) 70.1
(c) 74.5
(d) 69.3
(e) None of these
Solution: (b)
\(\displaystyle 3596-2832+2040=?\times 40\)
\(\displaystyle ?=\frac{{764+2040}}{{40}}\)
\(\displaystyle ?=\frac{{2804}}{{40}}=70.1\)
73) \(\displaystyle 6\frac{3}{8}-3\frac{1}{{16}}+5\frac{1}{8}=?\)
(a) \(\displaystyle 6\frac{5}{{16}}\)
(b) \(\displaystyle 4\frac{5}{{16}}\)
(c) \(\displaystyle 9\frac{3}{{16}}\)
(d) \(\displaystyle 8\frac{7}{{16}}\)
(e) None of these
Solution: (d)
\(\displaystyle 6-3+5(\frac{3}{8}+\frac{1}{8}-\frac{1}{{16}})=8+(\frac{{6+2-1}}{{16}})=8\frac{7}{{16}}\)
74) \(\displaystyle 7474+4747=?\times 25\)
(a) 448.84
(b) 482.48
(c) 488.84
(d) 484.48
(e) None of these
Solution: (c)
\(\displaystyle 7474+4747=?\times 25\)
or, \(\displaystyle 12221=?\times 25\)
\(\displaystyle ?=\frac{{12221}}{{25}}=488.84\)
75) \(\displaystyle \sqrt{?}-11=\sqrt{{1764}}\)
(a) \(\displaystyle \sqrt{{2809}}\)
(b) \(\displaystyle {{53}^{2}}\)
(c) \(\displaystyle \sqrt{{53}}\)
(d) 53
(e) None of these
Solution: (b)
\(\displaystyle \sqrt{?}-11=\sqrt{{1764}}\)
or, \(\displaystyle \sqrt{?}=42+11=53\)
or, ? = \(\displaystyle {{53}^{2}}\)
76) \(\displaystyle 10.8\times 5.5\times 8.4=?\)
(a) 458.69
(b) 489.96
(c) 498.96
(d) 485.69
(e) None of these
Solution: (b)
\(\displaystyle ?=10.8\times 5.5\times 8.4=59.40\times 8.4=498.96\)
77) \(\displaystyle 5\times ?=8484\div 4\)
(a) 444.2
(b) 424.2
(c) 442.2
(d) 422.2
(e) None of these
Solution: (b)
\(\displaystyle 5\times ?=2121\)
\(\displaystyle ?=\frac{{2121}}{5}=424.2\)
78) \(\displaystyle (4\times 4\times 4\times 4\times 4\times {{4)}^{5}}\times (4\times 4\times{{4)}^{8}}\div {{(4)}^{3}}={{64}^{?}}\)
(a) 17
(b) 10
(c) 16
(d) 11
(e) None of these
Solution: (a)
\(\displaystyle {{(64\times 64)}^{5}}\times {{(4\times 4\times 4)}^{8}}\div {{(64)}^{1}}={{64}^{?}}\)
or, \(\displaystyle {{64}^{5}}\times {{64}^{5}}\times {{64}^{8}}\div 64={{64}^{?}}\)
or, \(\displaystyle {{64}^{{5+5+8-1}}}={{64}^{?}}\)
or, \(\displaystyle {{64}^{{17}}}={{64}^{?}}\)
? = 17
79) \(\displaystyle \frac{5}{8}\times 2\frac{3}{5}\div \frac{4}{9}=?\)
(a) \(\displaystyle 2\frac{{13}}{{27}}\)
(b \(\displaystyle 1\frac{{11}}{{27}}\)
(c) \(\displaystyle 2\frac{{23}}{{32}}\)
(d) \(\displaystyle 3\frac{{21}}{{22}}\)
(e) None of these
Solution: (d)
\(\displaystyle \frac{5}{8}\times \frac{{13}}{5}\times \frac{9}{4}=\frac{{117}}{{32}}=3\frac{{21}}{{22}}\)
80) \(\displaystyle 7059-2350+1936=?\times 50\)
(a) 123.6
(b) 132.3
(c) 132.6
(d) 123.9
(e) None of these
Solution: (e)
\(\displaystyle 6645=50\times ?\)
\(\displaystyle ?=\frac{{6645}}{{50}}\)
\(\displaystyle ?=132.9\)
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