SSC CGL QUANT QUIZ-6

Question 1:

Area of a given circle is $2464 \mathrm{~m}^{2}$. Perimeter of a rectangle is same as perimeter of circle. Find the diagonal (in $\mathrm{m}$ ) of the rectangle if length of rectangle is $20 \%$ more than the breadth of the rectangle.

$8 \sqrt{65}$

$8 \sqrt{61}$

$8 \sqrt{57}$

$4 \sqrt{65}$

Question 2:

What is the value of $\frac{1}{\sqrt{1+cot^2\theta}}$.

$sin \theta$

$cos \theta$

$tan \theta$

$cot \theta$

Question 3:

Find the value of $\sin 60^{\circ} \times \sec 30^{\circ}+\tan 45^{\circ} \times \operatorname{cosec} 60^{\circ}$

$\frac{\sqrt{3}+2}{\sqrt{3}}$

$\sqrt{3}$

$\sqrt{3}+1$

$\frac{\sqrt{3}+1}{\sqrt{3}}$

Question 4:

Simplify $0.6+(\sqrt{0.81)}+\sqrt{(0.0144)}+0.4=?$

2.01

2

2.02

2.03

Question 5:

Find the value of $\sqrt{1225}+\sqrt{7744}= ?$

113

123

133

103

Question 6:

The price of a certain article is initially increased by $x \%$ and later on the new price is decreased by $x \%$ as a result of which the price of the article finally became Re 1 . Find the initial price of the article.

$\frac{10000-x^{2}}{10000}$

$\frac{x^{2}-10000}{10000}$

$\frac{10000}{10000-x^{2}}$

$\frac{10000}{10000+x^{2}}$

Question 7:

A person's salary is first increased by 30 % and then decreased by 30 %. What is the net change in his salary?

6 % decrease

9 % increase

9 % decrease

No change

Question 8:

The income of A is 40% more than the income of B, and the income of C is 65 % less than the income of B. By what percentage is C's income less than that of A's?

70 %

33.3 %

72 %

75 %

Question 9:

If the sum of five even consecutive numbers is 130. Find the average of the second and fifth number?

27

26

28

30

Question 10:

Find the roots of the equation $x^{2}-21 x+38=0 ?$

2,19

17,2

2,17

18,5