February 4, 2023

SSC Simplification Questions PDF download

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

 

 

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