SSC CGL 20th April 2022 Shift-2

If $$\tan B = \frac{5}{3}$$, what is the value of $$\frac{\cosec B + \sin B}{\cos B - \sec B}$$?

If $$\sqrt{x}-\frac{1}{\sqrt{x}}=\sqrt{5}, x \neq 0$$, then what is the value of $$\frac{x^{4}+\frac{1}{x^{2}}}{x^{2}+1}$$

If the num ber 48 k 2048 p 6 is divisible by 99, then (k $$\times$$ p) is equal to:

The simple interest on a sum of money at 10% per annum for 4 years is ₹3,200. What will be the amount (in ₹) of the same sum for the same period at the same rate of inerest when the interest is compounded annually?

A shopkeeper offers a discount of 18% on a machine and sells it for ₹48,380. If he does not offer the discount, he will get a profit of 18%. What is the cost price (in ₹) of the machine?

In triangle ABC, X and Y are the points on sides AB and AC, respectively, such that XY is parallel to BC. If XY : BC =  2.5 : 7. what is the ratio of the area of the trapezium BCYX to that of the $$\triangle$$ AXY?

A, B and C divide an amount of ₹10,500 amongst themselves in the ratio 5 : 7 : 9. respectively. If each one gets ₹500 more, then what will be the ratio of the amounts will A, B and C?

The value of
$$25\div10-\left(\frac{7}{4}\times\frac{1}{3}\right) of \frac{6}{5} + \frac{14}{3}\times\frac{9}{10} + \left(\frac{1}{5}\div\frac{1}{25}\right)$$ is:

A and B are two points on the same side of a ground, 50 metres apart. The angles of elevation of these points to the top of a tree are $$60^{\circ}$$ and $$30^{\circ}$$ respectively. What is 40% of the height of the tree (in m)?

Study the given pie chart and answer the question that follows.
The pie chart shows the breakup of the total number of employees of a company working in different offices (A to E),in degrees. The total number of employees = 3600.

If the percentage of male employees in office C is 20% and that of female employees in office D is 40%, then what is the ratio of the number of female employees in office D to that of female employees in office C?