The simplification questions are among the most commonly asked in the quantitative aptitude component of the various Government tests. A candidate can achieve the highest score on this topic without committing mistakes. Here, I’m providing important SSC simplification questions and answers for competitive exam . Try to solve questions of simplification on your own to improve your preparation for competitive exams.

SSC Simplification Questions:

Que. 1 Evaluate $\large \boldsymbol{\frac{\frac{1}{5}\div \frac{1}{5}\times \frac{1}{5}}{\frac{1}{5}\times \frac{1}{5}\div \frac{1}{5}}}$

(a) 1 (b) 125 (c) 25 (d) 5 (e) none of these

Question 2. Simplify : $\large \mathbf{1-1\div \left \{ 1+1\div \left ( 1+\frac{1}{3} \right ) \right \}}$

(a) $\large \frac{3}{7}$ (b) $\large \frac{11}{7}$ (c) $\large \frac{7}{3}$ (d) $\large \frac{7}{11}$ (e) none of these

Question 3: Simplify $\large \mathbf{7\frac{1}{2}-\left [ 2\frac{1}{4}\div \left \{ 1\frac{1}{4}-\frac{1}{2}\left ( 1\frac{1}{2}-\frac{1}{3}-\frac{1}{6} \right ) \right \} \right ]}$

(a) $\large 2\frac{1}{2}$ (b) $\large 3\frac{1}{2}$ (c) $\large 4\frac{1}{2}$ (d) $\large 5\frac{1}{2}$ (e) none of these

Question 4: What is the value of $\large \mathbf{\frac{5.6\times 0.36+0.42 \times 3.2}{0.8 \times 2.1}}$ ?

(a) 2 (b) 1 (c) 3 (d) $\large \frac{3}{2}$

Question 5 : What is the value of $\large \frac{(1.2)^{3} +(0.8)^{3}+(0.7)^{3}-2.016}{(1.35)[(1.2)^{2} +(0.8)^{2}+(0.7)^{2}-0.96-0.84-0.56])}$ ?

(a) $\large \frac{1}{4}$ (b) $\large \frac{1}{2}$ (c) 1 (d) 2

Question 6: What is the value of $\large \sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{36}}}}}$ ?

(a) 69 (b) 68 (c) 70 (d) 72

Question 7: If 47.2506= $\large 4A+\frac{7}{B}+2C+\frac{5}{D}+6E$ , then the value of (5A+ 3B+6C+D+3E) is

(a) 53.6003 (b)53. 603 (c) 153.6003 (d) 213.0003

Question 8: If $\large 1^{3}+2^{3}+.........+9^{3}=2025,$ then the value of $\large (0.11)^{3}+(0.22)^{3}+(0.33)^{3}+........+(0.99)^{3}$

is close to (a) 0.2695 (b) 0.3695 (c) 2.695 (d) 3.695

Question 9: The value of $\large \sqrt{\frac{(0.1)^{2}+(0.01)^{2}+(0.009)^{2}}{(0.01)^{2}+(0.001)^{2}+(0.0009)^{2}}}$ is

(a) 0.01 (b) 0.1 (c) 10 (d) 100

Question 10: Simplify $\large \left ( 4.8\times 1.8 \div 3.6+5.4 \, \, of \, \, \frac{1}{9}-\frac{1}{5}\right )$

(a) 2.8 (b) 2 (c) 3.9 (d) 3

For further information on how to master the numerical ability section of the various competitive tests, applicants can click on the links provided below:

Simplification tricks and questions for All Competitive Exams	Pemdas problems \| Pemdas math equations worksheet PDF with solutions
PEMDAS Examples: PEMDAS math rule, Definition , Examples and PEMDAS worksheet PDF Download	Mensuration Formulas for 2D and 3D Shapes PDF Download

Question 11 : $\mathbf{\frac{1}{5}+999\frac{494}{495}\times 99}$

(a) 99000 (b) 9900 (c) 990 (d) 99

Question 12 : Simplify $\large \mathbf{\frac{1}{1+\frac{(2/3)}{1+\frac{2}{3}+\frac{(8/9)}{(1-\frac{2}{3})}}}}$

(a) $\large \frac{13}{15}$ (b) $\large \frac{15}{13}$ (c) $\large \frac{13}{14}$ (d) $\large \frac{14}{15}$

Question 13 : $\large \mathbf{999\frac{995}{999}\times 999 =?}$

(a) 990809 (b) 998996 (c) 998999 (d) 999824

Question 14 : $\large \mathbf{\frac{3\frac{1}{4}-\frac{4}{5}\, \, of\, \frac{5}{6}}{4\frac{1}{3}\div \frac{1}{5}-\left ( \frac{3}{10} +21\frac{1}{5}\right )}-\left ( 1\frac{2}{3} \, of\, 1\frac{1}{2}\right )=?}$

(a) 9 (b) $\large 11\frac{1}{2}$ (c) 13 (d) $\large 15\frac{1}{2}$

Question 15. $\large \mathbf{999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}}=?$

(a) 29997 (b) 5979 (c) 5997 (d) 5994

Question 16. $\large \mathbf{7\frac{1}{2}-\left [ 2\frac{1}{4} \div \left \{ 1\frac{1}{4}-\frac{1}{2}\left ( 1\frac{1}{2}-\frac{1}{3}-\frac{1}{6} \right ) \right \}\right ]}=?$

(a) $\large \frac{2}{9}$ (b) 1 (c) $\large 4\frac{1}{2}$ (d) $\large 1\frac{77}{288}$

Question 17. $SSC simplification questions$

(a) $\large \frac{3}{4}$ (b) $\large \frac{24}{25}$ (c) 1 (d) $\large 1\frac{1}{24}$

Question 18: $\large \mathbf{\frac{6^{6}+6^{6}+6^{6}+6^{6}+6^{6}+6^{6}}{3^{6}+3^{6}+3^{6}}\div \frac{4^{6}+4^{6}+4^{6}+4^{6}}{2^{6}+2^{6}}} =2^{n}$ then the value of n is

(a) -1 (b) 0 (c) $\large \frac{1}{2}$ (d) 1

Question 19 : $\large \boldsymbol{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}\div \frac{1}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}=?$

(a) $\large \frac{7}{29}$ (b) $\large \frac{5}{6}$ (c) 1 (d) $\large \frac{9}{13}$

Question 20 : $\large \mathbf{N=55^{3}+17^{3}-72^{3}},$ then N is divisible by

(a) 3 and 17 (b) 40 and 11 (c) 11 and 15 (d) all of these

Question 21: The value of the expression $\large \mathbf{7777+7777\times 7777 \times (5\div 77)\times (11\div 35)}$

(a) 12344321 (b) 12344321 (c) $\large 7^{7777}$ (d) 1242098

Question 22: The value of $\large \mathbf{0.\overline{57}-0.4\overline{32}+0.3\overline{5}}$ is

(a) $\large 0.\overline{494}$ (b) $\large 0.\overline{498}$ (c) $\large 0.4\overline{98}$ (d) $\large 0.4\overline{94}$

Question 23 : If $\large \boldsymbol{\frac{1}{x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}}}=\frac{29}{79}}$ , where x, y and z are natural numbers, then the value of (2x+3y-z) is :

(a) 1 (b) 4 (c) 0 (d) 2

Question 24 : The value of $\large \mathbf{3\frac{1}{4}\div 4\frac{1}{2}\, of\, 5\frac{1}{3}+\frac{1}{8}\div \frac{1}{2} \, of\, \frac{1}{4}-\frac{1}{4}\left ( \frac{1}{2}\div \frac{1}{8}\times \frac{1}{4} \right )}$ is

(a) $\large \frac{53}{60}$ (b) $\large \frac{13}{15}$ (c) $\large \frac{7}{8}$ (d) $\large \frac{3}{4}$

Question 25 : The value of $\large \mathbf{4\div 12\, of\, [3\div 4\, of\{(4-2)\times 6\div 2\}]-2\times 6\div 8+3}$ is

(a) $\large 4\frac{1}{6}$ (b) $\large 7\frac{1}{6}$ (c) $\large 2\frac{1}{3}$ (d) $\large 3\frac{1}{3}$

Question 26 : The value of $\large \mathbf{\frac{7+3\sqrt{5}}{3+\sqrt{5}}-\frac{7-3\sqrt{5}}{3-\sqrt{5}}}$ lies between

(a) 2 and 2.5 (b) 3 and 3.5 (c) 1.5 and 2 (d) 2.5 and 3

Question 27 : The value of $\large \mathbf{\frac{27\times (0.25)^{3}+125(0.05)^{3}}{(0.75)^{2}-0.25\times 0.5}}$ is

(a) 1 (b) 0.25 (c) 0.75 (d) 0.5

Question 28 : $\large \mathbf{(2-\frac{1}{3})(2-\frac{3}{5})(2-\frac{5}{7}) ...............(2-\frac{999}{1001})}=?$

(a) $\large \frac{999}{1001}$ (b) $\large \frac{1003}{3}$ (c) $\large \frac{1001}{3}$ (d) none of these

Question 29 : $\large \mathbf{\frac{1}{(1 \times 2)}+ \frac{1}{(2 \times 3)} +\frac{1}{(3 \times 4)}+ .............+ \frac{1}{(100 \times 101)}=?}$

(a) $\large \frac{1}{100}$ (b) $\large \frac{100}{101}$ (c) $\large \frac{101}{102}$ (d) $\large 9\frac{9}{10}$

Question 30 : $\large \boldsymbol{\frac{\frac{1}{3}.\frac{1}{3}.\frac{1}{3}+\frac{1}{4}.\frac{1}{4}.\frac{1}{4}-3.\frac{1}{3}.\frac{1}{5}.\frac{1}{4}+\frac{1}{5}.\frac{1}{5}.\frac{1}{5}}{\frac{1}{3}.\frac{1}{3}+\frac{1}{4}.\frac{1}{4}+\frac{1}{5}.\frac{1}{5}-\left ( \frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{3}.\frac{1}{5} \right )}}$ =?

(a) $\large \frac{2}{3}$ (b) $\large \frac{3}{4}$ (c) $\large \frac{47}{60}$ (d) $\large \frac{49}{60}$

Answer : 1. (a) 2.(a) 3. (c) 4. (a) 5. (d) 6. (b) 7. (c) 8. (c) 9. (c ) 10. (a) 11. (a) 12. (a) 13. (b) 14. (c) 15. (c) 16 (c) 17 . (d) 18. (b) 19. ( c) 20. (d) 21. (d) 22. (c) 23. (d) 24. (a) 25. (a) 26. (a) 27 .(a) 28. (b) 29. (b) 30. (c)

SSC Simplification Questions PDF download

SSC Simplification Questions:

SSC simplification questions PDF download

Bina singh

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SSC Simplification Questions:

SSC simplification questions PDF download

Bina singh

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