Simplification MCQ Question for Competitive Exams
21. \(\displaystyle 3\frac{2}{3}+2\frac{3}{4}+1\frac{1}{2}=?\)
(a) \(\displaystyle 8\frac{{11}}{{12}}\)
(b) \(\displaystyle 10\frac{{12}}{{13}}\)
(c) \(\displaystyle 7\frac{{11}}{{12}}\)
(d) \(\displaystyle 9\frac{{11}}{{13}}\)
(e) None of these
Solution: (c)
\(\displaystyle (3+2+1)+(\frac{2}{3}+\frac{3}{4}+\frac{1}{2})\)
\(\displaystyle 6+\frac{{8+9+6}}{{12}}=6+\frac{{23}}{{12}}=7\frac{{11}}{{12}}\)
22. \(\displaystyle 16\%of450\div ?\%of250=4.8\)
(a) 12
(b) 6
(c) 4
(d) 10
(e) None of these
Solution: (b)
\(\displaystyle 16\%of450\div ?\%of250=4.8\)
\(\displaystyle \Rightarrow \)\(\displaystyle 450\times \frac{{16}}{{100}}\times 250\times \frac{?}{{100}}=4.8\)
\(\displaystyle \Rightarrow \)\(\displaystyle 72\div 2.5\times ?=4.8\)
\(\displaystyle \Rightarrow \)\(\displaystyle 2.5\times ?=\frac{{72}}{{4.8}}\)
\(\displaystyle ?=\frac{{72}}{{4.8\times 2.5}}=6\)
23. \(\displaystyle \sqrt{?}-11=\sqrt{{1521}}\)
(a) \(\displaystyle \sqrt{{2500}}\)
(b) \(\displaystyle {{28}^{2}}\)
(c) \(\displaystyle \sqrt{{28}}\)
(d) 50
(e) None of these
Solution: (e)
\(\displaystyle \sqrt{?}-11=\sqrt{{1521}}\)
\(\displaystyle \sqrt{?}-11=39\)
\(\displaystyle \sqrt{?}=39+11=50\)
\(\displaystyle ?={{50}^{2}}=2500\)
24. \(\displaystyle 4\times ?=4062\div 5\)
(a) 203.1
(b) 213.1
(c) 205.1
(d) 215.1
(e) None of these
Solution: (a)
\(\displaystyle 4\times ?=4062\div 5=4062\times \frac{1}{5}=812.4\)
\(\displaystyle ?=\frac{{812.4}}{4}=203.1\)
25. 13% of 258 – ? = 10
(a) 23.45
(b) 24.53
(c) 23.54
(d) 24.35
(e) None of these
Solution: (c)
13% of 258 – ? = 10
? = 13% of 258 – 10
\(\displaystyle 258\times \frac{{13}}{{100}}-10=33.54-10=23.54\)
26. \(\displaystyle \frac{4}{5}\times 2\frac{3}{4}\div \frac{5}{8}=?\)
(a) \(\displaystyle 4\frac{{12}}{{35}}\)
(b) \(\displaystyle 1\frac{{12}}{{35}}\)
(c) \(\displaystyle 2\frac{{11}}{{35}}\)
(d) \(\displaystyle 3\frac{{13}}{{25}}\)
(e) None of these
Solution: (c)
\(\displaystyle ?=\frac{4}{5}\times 2\frac{3}{4}\div \frac{5}{8}=\frac{4}{5}\times \frac{{11}}{4}\div \frac{5}{8}\)
\(\displaystyle \frac{4}{5}\times \frac{{11}}{4}\times \frac{8}{5}=\frac{{88}}{{25}}=3\frac{{13}}{{25}}\)
27. \(\displaystyle 5437-3153+2284=?\times 50\)
(a) 96.66
(b) 91.36
(c) 96.13
(d) 93. 16
(e) None of these
Solution: (b)
\(\displaystyle ?\times 50=5437-3153+2284=7721-3153=4568\)
\(\displaystyle ?=\frac{{4568}}{{50}}=91.36\)
28. \(\displaystyle (3325\div 25)\times (152\div 16)=?\)
(a) 1269.4
(b) 1264.9
(c) 1265.3
(d) 1263.5
(e) None of these
Solution: (d)
Given expression implies \(\displaystyle ?=\frac{{3325}}{{25}}\times \frac{{152}}{{16}}\)
\(\displaystyle 133\times 9.5=1263.5\)
29. 45316 + 52131 – 65229 = ? + 15151
(a) 17063
(b) 17073
(c) 17076
(d) 17067
(e) None of these
Solution: (d)
45316 + 52131 – 65229 = ? + 15151
32218 = ? + 15151
? = 32218 – 15151 = 17067
30. \(\displaystyle ?\div 0.5\times 24=5652\)
(a) 171.75
(b) 117.25
(c) 171.25
(d) 117.75
(e) None of these
Solution: (d)
\(\displaystyle \frac{?}{{0.5}}\times 24=5652\)
\(\displaystyle ?=\frac{{5652\times 0.5}}{{24}}=117.75\)
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