Simplification Questions with Solutions

Simplification Questions with Solutions – Free MCQs Mock Test for online practice of competitive exams.

Quiz : Maths – Simplification
Medium – English
All type solved questions.
Selected from previous year SSC papers

Results

Share your score!

Tweet your score!

#1. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1

1.5

2

2.5

#2. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1

1.5

2

2.5

#3. The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is

\(\frac34\)

\(1\frac34\)

\(1\frac13\)

\(1\frac79\)

#4. The square of a natural number subtracted from its cube is 48. The number is

8

6

5

4

#5. The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is

\(\frac34\)

\(1\frac34\)

\(1\frac13\)

\(1\frac79\)

#6. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

10

4

5

3

#7. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$

\(\frac{12}{29}\)

\(\frac{8}{19}\)

\(\frac{48}{29}\)

\(\frac{2}{19}\)

#8. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$

\(\frac{12}{29}\)

\(\frac{8}{19}\)

\(\frac{48}{29}\)

\(\frac{2}{19}\)

#9. The value of $\frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}}$

\(\frac{38}{109}\)

\(\frac{109}{38}\)

1

\(\frac{116}{109}\)

#10. The value of $\frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}}$

\(\frac{38}{109}\)

\(\frac{109}{38}\)

1

\(\frac{116}{109}\)

#11. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

\(\frac{40}{11}\)

\(\frac{43}{11}\)

\(\frac{46}{11}\)

\(\frac{41}{11}\)

#12. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

\(\frac{40}{11}\)

\(\frac{43}{11}\)

\(\frac{46}{11}\)

\(\frac{41}{11}\)

#13. Find the value of $\frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14}$

6

4

8

2

#14. Find the value of $\frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14}$

6

4

8

2

#15. The simplified value of $\frac{4}{15} \text{of} \frac58\times 6+15 – 10$ is

6

3

5

4

#16. The simplified value of $\frac{4}{15} \text{of} \frac58\times 6+15 – 10$ is

6

3

5

4

#17. The value of $3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right]$ is

\(\frac{60}{13}\)

\(\frac{13}{17}\)

\(\frac{15}{19}\)

\(\frac{13}{19}\)

#18. The value of $3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right]$ is

\(\frac{60}{13}\)

\(\frac{13}{17}\)

\(\frac{15}{19}\)

\(\frac{13}{19}\)

#19. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

\(\frac12\)

\(2\frac12\)

\(3\frac12\)

\(9\frac12\)

#20. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

\(\frac12\)

\(2\frac12\)

\(3\frac12\)

\(9\frac12\)

#21. The value of $\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}$ is

0

2.994

3.208

3

#22. The value of $\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}$ is

0

2.994

3.208

3

#23. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

1

0.01

0.1

0.01

10

#24. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

1

0.01

0.1

0.01

10

#25. $(4\frac{11}{15} +\frac{15}{71})^2 – (4\frac{11}{15}-\frac{15}{71})^2$ is equal to

1

3

2

4

#26. $(4\frac{11}{15} +\frac{15}{71})^2 – (4\frac{11}{15}-\frac{15}{71})^2$ is equal to

1

3

2

4

#27. The simplification of $\frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5}$ up to three places of decimals yields

0.143

0.163

0.215

0.715

#28. The simplification of $\frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5}$ up to three places of decimals yields

0.143

0.163

0.215

0.715

#29. if $\frac{1120}{\sqrt P}$ =80, then P is equal to

14

140

196

225

#30. if $\frac{1120}{\sqrt P}$ =80, then P is equal to

14

140

196

225

#31. the value of $25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10]\div 4$ is

5

23.25

23.75

25

#32. the value of $25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10]\div 4$ is

5

23.25

23.75

25

#33. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is

\(5\frac{1}{10}\)

\(2\frac{1}{18}\)

\(3\frac{1}{6}\)

\(3\frac{3}{10}\)

#34. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is

\(5\frac{1}{10}\)

\(2\frac{1}{18}\)

\(3\frac{1}{6}\)

\(3\frac{3}{10}\)

#35. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

10

6

4

0

#36. The value of ( $11111)^2$ is

12344321

121212121

123454321

11344311

#37. The least number which must be added to 1728 to make it a perfect square is :

36

32

38

30

#38. if $(1101)^2$ = 12122101, then find the value of $\sqrt{121.2201}$

110.1

11.01

1.101

11.001

#39. if $(1101)^2$ = 12122101, then find the value of $\sqrt{121.2201}$

110.1

11.01

1.101

11.001

#40. The square root of $\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}$

24

2.4

0.024

1.2

#41. The square root of $\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}$

24

2.4

0.024

1.2

#42. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

#43. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

#44. the simplified value of $\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}$ is

3

2

4

6

#45. the simplified value of $\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}$ is

3

2

4

6

#46. The number, whose square is equal to the difference between the squares of 975 and 585 is :

780

390

1560

130

#47. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

\(7\frac{9}{10}\)

\(2\frac{9}{10}\)

\(\frac{9}{10}\)

\(9\frac{9}{10}\)

#48. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

\(7\frac{9}{10}\)

\(2\frac{9}{10}\)

\(\frac{9}{10}\)

\(9\frac{9}{10}\)

#49. The least number, that must be added to 1720 so as to obtain a perfect cube is :

7

8

11

13

#50. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

12

11

10

15

#51. The sum of the cubes of the numbers 22, -15 and -7 is equal to

6930

9630

3

0

#52. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

12

11

10

15

Previous

FINISH

Leave a Comment