Simplification Multiple Choice Questions
31. \(\displaystyle \sqrt[3]{{42875}}-?=21\)
(a) 18
(b) 13
(c) 15
(d) 11
(e) None of these
Solution: (e)
\(\displaystyle \sqrt[3]{{42875}}-?=21\)
\(\displaystyle \sqrt[3]{{35\times 35\times 35}}-?=21\)
35 – ? = 21 \(\displaystyle \Rightarrow \)? = 35 – 21
= 14
32. \(\displaystyle (79210\div 178)-5.5=\sqrt{?}\)
(a) 1512
(b) 1521
(c) 1251
(d) 1531
(e) None of these
Solution: (b)
\(\displaystyle \sqrt{?}=\frac{{79210}}{{178}}-5.5\)
= 44.5 – 5.5 = 39
\(\displaystyle ?=39\times 39=1521\)
33. \(\displaystyle {{(?)}^{2}}+{{15}^{2}}-{{33}^{2}}=97\)
(a) 33
(b) 32
(c) 34
(d) 30
(e) None of these
Solution: (e)
\(\displaystyle {{(?)}^{2}}+225-1089=97\)
\(\displaystyle {{?}^{2}}-864=97\)
\(\displaystyle {{?}^{2}}=864+97=961\)
? = \(\displaystyle \sqrt{{961}}=31\)
34. 25639 – 5252 – 3232 = ?
(a) 17255
(b) 17551
(c) 17515
(d) 17155
(e) None of these
Solution: (d)
? = 25639 – 5252 – 3232 = 17155
35. \(\displaystyle \frac{{31}}{{43}}\times \frac{{86}}{{95}}\times \frac{{41}}{{93}}=?\)
(a) \(\displaystyle \frac{{82}}{{267}}\)
(b) \(\displaystyle \frac{{82}}{{283}}\)
(c) \(\displaystyle \frac{{83}}{{265}}\)
(d) \(\displaystyle \frac{{82}}{{285}}\)
(e) None of these
Solution: (d)
\(\displaystyle ?=\frac{{31}}{{43}}\times \frac{{86}}{{95}}\times \frac{{41}}{{93}}=\frac{{82}}{{285}}\)
36. 6389 – 1212 – 2828 = ?
(a) 2349
(b) 2493
(c) 2934
(d) 2394
(e) None of these
Solution: (a)
? = 6389 – 1212 – 2828 = 2349
37. \(\displaystyle {{62}^{2}}-{{32}^{2}}-{{(?)}^{2}}=3144\)
(a) 17
(b) 16
(c) 19
(d) 15
(e) None of these
Solution: (e)
\(\displaystyle (62+32)(62-32)+{{?}^{2}}=3144\)
\(\displaystyle 94\times 30+{{?}^{2}}=3144\)
\(\displaystyle 2820+{{?}^{2}}=3144\)
\(\displaystyle {{?}^{2}}=3144-2820=324\)
\(\displaystyle ?=\sqrt{{324}}=18\)
38. \(\displaystyle \sqrt[3]{{21952}}+33=?\)
(a) 58
(b) 61
(c) 63
(d) 51
(e) None of these
Solution: (b)
\(\displaystyle ?=\sqrt[3]{{21952}}+33\)
\(\displaystyle \sqrt[3]{{28\times 28\times 28+33}}\)
= 28 + 33 = 61
39. \(\displaystyle 32000\times \frac{3}{4}\times ?\times \frac{1}{2}=4800\)
(a) \(\displaystyle \frac{2}{3}\)
(b) \(\displaystyle \frac{3}{5}\)
(c) \(\displaystyle \frac{2}{5}\)
(d) \(\displaystyle \frac{1}{4}\)
(e) None of these
Solution: (c)
\(\displaystyle 32000\times \frac{3}{4}\times ?\times \frac{1}{2}=4800\)
\(\displaystyle 12000\times ?=4800\)
\(\displaystyle ?=\frac{{4800}}{{12000}}=\frac{2}{5}\)
40. \(\displaystyle (8536-\sqrt{{2209}})\times 0.3=?\)
(a) 2556.7
(b) 2456.7
(c) 2546.7
(d) 2645.7
(e) None of these
Solution: (c)
\(\displaystyle ?=(8536-\sqrt{{2209}})\times 0.3\)
\(\displaystyle (8536-47)\times 0.3\)
\(\displaystyle 8489\times 0.3=2546.7\)
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