simplification mcq for banking exam
11. 58% of 450 – ? % of 250 = 181
(a) 34
(b) 30
(c) 32
(d) 48
(e) None of these
Solution: (c)
\(\displaystyle \frac{{450\times 58}}{{100}}-\frac{{250\times ?}}{{100}}=181\)
\(\displaystyle \Rightarrow \)\(\displaystyle 261-\frac{{250\times ?}}{{100}}=181\)
\(\displaystyle \Rightarrow \)\(\displaystyle \frac{{250\times ?}}{{100}}=261-181=80\)
\(\displaystyle \Rightarrow \)\(\displaystyle ?=\frac{{80\times 100}}{{250}}=\frac{{80\times 2}}{5}=16\times 2=32\)
12. \(\displaystyle 2\frac{1}{7}-3\frac{1}{{14}}+2\frac{2}{7}=?\)
(a) \(\displaystyle 6\frac{5}{{14}}\)
(b) \(\displaystyle 4\frac{5}{{14}}\)
(c) \(\displaystyle 2\frac{3}{{14}}\)
(d) \(\displaystyle 7\frac{11}{{14}}\)
(e) None of these
Solution: (e)
\(\displaystyle (2-3+2)+(\frac{1}{7}-\frac{1}{{14}}+\frac{2}{7})=1+(\frac{{2-1+4}}{{14}})\)
\(\displaystyle 1+(\frac{5}{{14}})=1\frac{5}{{14}}\)
13. \(\displaystyle 2615-4361+2881=?\times 20\)
(a) 65.75
(b) 58.75
(c) 54.25
(d) 64.25
(e) None of these
Solution: (e)
\(\displaystyle 2615-4361+2881=?\times 20\)
or, \(\displaystyle 5496-4361=?\times 20\)
or, \(\displaystyle 1135=?\times 20\)
? = \(\displaystyle ?=\frac{{1135}}{{20}}=56.75\)
14. \(\displaystyle (5\times 5\times 5\times 5\times 5\times {{(e)}^{2}}\times (5\times 5\times 5\times {{(e)}^{3}}\div (5\times {{(e)}^{8}}=(2{{(e)}^{?}})\)
(a) 22
(b) 13
(c) 17
(d) 19
(e) None of these
Solution: (d)
\(\displaystyle {{({{25}^{3}})}^{2}}\times {{({{25}^{2}})}^{8}}\div ({{25}^{3}})={{(25)}^{?}}\)
or, \(\displaystyle {{(25)}^{?}}={{25}^{6}}\times {{25}^{{16}}}\div {{25}^{3}}={{25}^{{6+16-3}}}={{25}^{{19}}}\)
Therefore, ? = 19
15. \(\displaystyle \sqrt{?}-12=\sqrt{{1296}}\)
(a) \(\displaystyle \sqrt{{2304}}\)
(b) \(\displaystyle {{48}^{2}}\)
(c) \(\displaystyle \sqrt{{48}}\)
(d) 48
(e) None of these
Solution: (b)
\(\displaystyle \sqrt{?}-12=\sqrt{{1296}}\)
or, \(\displaystyle \sqrt{?}=36+12=48\)
\(\displaystyle ?={{48}^{2}}=2304\)
16. \(\displaystyle 5\%of420\times ?\%of150=252\)
(a) 12
(b) 5
(c) 6
(d) 8
(e) None of these
Solution: (d)
5% of 420 × ?% of 150 = 252
or ?% of 150 = \(\displaystyle \frac{{252}}{{21}}\)
or, \(\displaystyle \frac{{?\times 150}}{{100}}=12\)
or, \(\displaystyle ?=\frac{{12\times 100}}{{150}}=8\)
17. \(\displaystyle 4\%of250\times ?\%of140=84\)
(a) 12
(b) 5
(c) 6
(d) 8
(e) None of these
Solution: (c)
\(\displaystyle \frac{4}{{100}}\times 250\times \frac{?}{{100}}\times 140=84\)
\(\displaystyle \frac{{140\times 1000\times ?}}{{100\times 100}}=84\)
\(\displaystyle 14\times ?=84\)
\(\displaystyle ?=\frac{{84}}{{14}}=6\)
18. \(\displaystyle {{(6\times 6\times 6\times 6\times 6\times 6)}^{4}}\times {{(6\times 6\times 6\times 6)}^{5}}\div {{(6\times 6)}^{7}}={{(36)}^{?}}\)
(a) 15
(b) 2
(c) 16
(d) 29
(e) None of these
Solution: (a)
\(\displaystyle {{(6\times 6\times 6\times 6\times 6\times 6)}^{4}}\times {{(6\times 6\times 6\times 6)}^{5}}\div {{(6\times 6)}^{7}}={{(36)}^{?}}\)
\(\displaystyle {{(36\times 36\times 36)}^{4}}\times {{(36\times 36)}^{5}}\div {{(36)}^{7}}\)
\(\displaystyle {{36}^{{3+4}}}\times {{36}^{{2+5}}}\div {{36}^{7}}={{36}^{{12+10-7}}}={{36}^{{15}}}\)
19. \(\displaystyle \frac{3}{7}\times \frac{9}{{14}}\div \frac{5}{7}=?\)
(a) \(\displaystyle \frac{{27}}{{70}}\)
(b) \(\displaystyle \frac{{13}}{{35}}\)
(c) \(\displaystyle \frac{{17}}{{70}}\)
(d) \(\displaystyle \frac{{12}}{{35}}\)
(e) None of these
Solution: (a)
\(\displaystyle \frac{3}{7}\times \frac{9}{{14}}\times \frac{7}{5}=\frac{{3\times 9}}{{14\times 5}}=\frac{{27}}{{70}}\)
20. \(\displaystyle 16\%of550\div ?\%of500=2.5\)
(a) 5.64
(b) 8.11
(c) 7.04
(d) 6.08
(e) None of these
Solution: (c)
\(\displaystyle 88\div ?\%of500=2.5\)
or, \(\displaystyle 88=2.5\times ?\%of500\)
or, \(\displaystyle \frac{{88}}{{2.5}}=?\%of500\)
or, \(\displaystyle 35.2=\frac{{500}}{{100}}\times ?\)
or, \(\displaystyle ?=\frac{{35.2\times 100}}{{500}}=7.04\)
Pages:
1 2 3 4 5 6 7 8 9 10
