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MCQ on Simplification with Solution

Time and Work

Percentage

Areas

41. \(\displaystyle \frac{5}{8}+\frac{1}{4}+\frac{7}{{12}}=?\)

(a) \(\displaystyle 1\frac{{11}}{{24}}\)

(b) \(\displaystyle 1\frac{{13}}{{24}}\)

(d) \(\displaystyle 1\frac{{7}}{{24}}\)

(e) None of these

Solution: (a)
\(\displaystyle ?=\frac{5}{8}+\frac{1}{4}+\frac{7}{{12}}\)
\(\displaystyle \frac{{15+6+14}}{{24}}=\frac{{35}}{{24}}=1\frac{{11}}{{24}}\)

42. \(\displaystyle (3584\div 32)-11=\sqrt{?}\)

(a) 10021

(b) 12001

(d) 10201

(e) None of these

Solution: (d)
\(\displaystyle \sqrt{?}=\frac{{3584}}{{32}}-11\)
= 112 – 11 = 101
\(\displaystyle ?=101\times 101=10201\)

43. \(\displaystyle 5\times ?=8042\div 4\)

(a) 296.1

(b) 5433.6

(d) 402.1

(e) None of these

Solution: (d)
\(\displaystyle 5\times ?=\frac{{8042}}{4}=2010.5\)
\(\displaystyle ?=\frac{{2010.5}}{5}=402.1\)

44. \(\displaystyle 206\times 71-12080=?\)

(a) 2546

(b) 2654

(d) 2645

(e) None of these

Solution: (a)
\(\displaystyle ?=206\times 71-12080=14626-12080=2546\)

45. \(\displaystyle \frac{3}{7}\div \frac{9}{{14}}\times \frac{6}{{11}}=?\)

(a) \(\displaystyle \frac{9}{{22}}\)

(b) \(\displaystyle \frac{7}{{11}}\)

(d) \(\displaystyle \frac{7}{{22}}\)

(e) None of these

Solution: (c)
\(\displaystyle ?=\frac{3}{7}\times \frac{{14}}{9}\times \frac{6}{{11}}=\frac{2}{3}\times \frac{6}{{11}}=\frac{4}{{11}}\)

46. \(\displaystyle \sqrt{?}+22=\sqrt{{2601}}\)

(a) \(\displaystyle \sqrt{{841}}\)

(b) \(\displaystyle {{(841)}^{2}}\)

(d) 22

(e) None of these

Solution: (e)
\(\displaystyle \sqrt{?}+22=\sqrt{{2601}}=51\)
\(\displaystyle \sqrt{?}=51-22=29\)
\(\displaystyle ?=29\times 29=841\)

47. 14% of 905 + ? = 287

(a) 148.7

(b) 160.3

(d) 162.5

(e) None of these

Solution: (b)
\(\displaystyle \frac{{905\times 14}}{{100}}+?=287\)
126.7 + ? = 287
? = 287 – 126.7 = 160.3

48. \(\displaystyle 2073.5\div (22\times 14.5)=?\)

(a) 7.5

(b) 6.5

(d) 3.5

(e) None of these

Solution: (b)
\(\displaystyle ?=\frac{{2073.5}}{{22\times 14.5}}=6.5\)

49. \(\displaystyle 6824+7864=?\times 40\)

(a) 376.4

(b) 359.2

(d) 367.2

(e) None of these

Solution: (d)
\(\displaystyle 6824+7864=?\times 40\)
\(\displaystyle 14688=?\times 40\)
\(\displaystyle ?=\frac{{14688}}{{40}}=367.2\)

50. \(\displaystyle 10000\div 100\div 10=?\)

(a) 1

(b) 0.1

(d) 100

(e) None of these

Solution: (e)
\(\displaystyle 10000\div 100\div 10=?\)
\(\displaystyle \Rightarrow \frac{{10000}}{{100}}\div 10=?\)
\(\displaystyle 100\div 10=?\Rightarrow ?=\frac{{100}}{{10}}=10\)

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MCQ on Simplification with Solution

41. \(\displaystyle \frac{5}{8}+\frac{1}{4}+\frac{7}{{12}}=?\)

42. \(\displaystyle (3584\div 32)-11=\sqrt{?}\)

43. \(\displaystyle 5\times ?=8042\div 4\)

44. \(\displaystyle 206\times 71-12080=?\)

45. \(\displaystyle \frac{3}{7}\div \frac{9}{{14}}\times \frac{6}{{11}}=?\)

46. \(\displaystyle \sqrt{?}+22=\sqrt{{2601}}\)

47. 14% of 905 + ? = 287

48. \(\displaystyle 2073.5\div (22\times 14.5)=?\)

49. \(\displaystyle 6824+7864=?\times 40\)

50. \(\displaystyle 10000\div 100\div 10=?\)

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