Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

Find the square root of:
\( \Large \frac{ \left(0.064-0.008\right) \left(0.16-0.04\right) }{ \left(0.16+0.08+0.04\right) \left(0.4+0.2\right)^{3} } \)

A) 3
B) \( \Large \frac{3}{2} \)
C) \( \Large \frac{2}{3} \)
D) \( \Large \frac{1}{3} \)

Correct Answer:




D) \( \Large \frac{1}{3} \)

Description for Correct answer:

To find :

\( \Large \sqrt{\frac{ \left(0.064-0.008\right) \left(0.16-0.04\right) }{ \left(0.16+0.08+0.04\right) \left(0.4+0.2\right)^{3} }} \)

Let x = 0.4 ; y = 0.2

\( \Large \sqrt\frac{ \left(x^{3}-y^{3}\right) \left(x^{2}-y^{2}\right) }{ \left(x^{2}+xy+y^{2}\right) \left(x+y\right)^{3} } \)

since \( \Large \left(x^{3}-y^{3}\right) = \left(x-y\right) \left(x^{2}+xy+y^{2}\right) \)

Therefore, \( \Large \sqrt \frac{ \left(x-y\right) \left(x+y\right) \left(x-y\right) }{ \left(x+y\right)^{3} } = \frac{ \left(x-y\right)^{2} }{ \left(x+y\right)^{2} } \)

= \( \Large \frac{x-y}{x+y} = \frac{0.4-0.2}{0.4+0.02} = \frac{1}{3} \)

Part of solved SSC Practice test(1) questions and answers : Exams >> SSC Exams >> SSC Practice test(1)

Comments

Similar Questions

1). The angle elevation of a tower from a distance 100 mtr. from its foot is 30o . Then the height of the tower is :

A). \( \Large \frac{50}{\sqrt{3}}mtr \)

B). \( \Large 50\sqrt{3} mtr \)

C). \( \Large \frac{100}{\sqrt{3}} mtr \)

D). \( \Large 100\sqrt{3} mtr \)

2). A sum of money lent out at simple interest amounts to Rs.720 after 2 years and Rs.1020 after a further period of 5 years. Find the principal.

A). Rs.1740

B). Rs.120

C). Rs.6000

D). Rs.600

3). A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is :

A). \( \Large \frac{1}{4} \)

B). \( \Large \frac{3}{4} \)

C). \( \Large \frac{3}{20} \)

D). \( \Large \frac{4}{3} \)

4). A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. His savings are increased by:

A). \( \Large 37\frac{1}{2}\% \)

B). 0.5

C). 0.1

D). 0.25

5). Pipe A can fill a tani in 4 hours and Pipe B can fill it in 6 hours. If they are opened on alternate opurs ad if pipe A is opene first then in how many hours, the tank shall be full?

A). \( \Large 3\frac{1}{2} \)

B). \( \Large 3\frac{1}{4} \)

C). \( \Large 4\frac{1}{2} \)

D). \( \Large 4\frac{21}{3} \)

6). A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the article is sold at marked price allowing no discount.

A). 0.3

B). 0.37

C). 0.23

D). 0.27

7). ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If \( \angle CBE = \angle ACF = 130 ^{\circ} \), then the value of \( \angle GAB \) is

A). \( 130 ^{\circ} \)

B). \( 90 ^{\circ} \)

C). \( 100 ^{\circ} \)

D). \( 80 ^{\circ} \)

8). A person of height 6 ft. wants to pluck a fruit which is on a 26/3 ft. high tree. lf the person is standing 8/ 3 ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit?

A). \( 60 ^{\circ} \)

B). \( 75 ^{\circ} \)

C). \( 30 ^{\circ} \)

D). \( 45 ^{\circ} \)

9). Cost price of 100 books is equal to the selling price of 60 books. The gain percentage or loss percentage is :

A). \( \Large 66\frac{2}{3} \%\)

B). 0.67

C). 0.66

D). \( \Large 66\frac{2}{3} \%\)

10). lf the cube root of 79507 is 43, then the value of

\( \Large 3\sqrt{79.5807}+3\sqrt{0.079507}+3\sqrt{0.000079507} is \)

A). 0.4773

B). 477.3

C). 4.773

D). 47.73