SSC CGL 18th April 2022 Shift-3
For the following questions answer them individually
study the given histogram and answer the question chat follows.
The total number of workers whose daily wages are less than ₹500 is what percentage more than the total number of workers whose daily wages are ₹650 and above (correct to one decimal place)?
If $$\sqrt{x}-\frac{1}{\sqrt{x}}= \sqrt{3}$$, then what is the value of $$x^{4} + \frac{1}{x^{4}}$$
If A = $$10^{\circ}$$, what is the value of:
$$\frac{12 \sin 3A + 5\cos \left(5A-5^{\circ}\right)}{9\sin \frac{9A}{2}- 4\cos \left(5A+10^{\circ}\right)}$$
The area of similar triangles PQR and MNT are 196 $$cm^{2}$$ and 169 $$cm^{2}$$ respectively. If the longest side of the larger $$\triangle$$ PQR be 28 cm then what is the length (in cm) of the longest side of the smaller $$\triangle$$ MNT?
A circle with centre O has and 15 cm. D is a point on the circle such that a 24 cm long chord AB is bisected by OD at point C. Find the length of CD (in cm).
A shopkeeper earns a profit of 17% on selling a book at 10% discount on the printed price. If the cost price is ₹500, then the printed price (in ₹) is:
AB is a diameter of a circle with centre O. The tangent at a point C on the circle and AB. when produced, meet at the point P. If $$\angle APC = 38^{\circ}$$, when what is the measure of $$\angle$$ PCB?
A sum of ₹17,200 is lent out at simple interest in two parts for 2 years at 8% p.a. and 10% p.a., respectively. If the total interest received after years is ₹3,008, then the money lent (in ₹) at the rate of 8% p.a. is:
If the volume of a sphere is 4,851 $$cm^{3}$$, then what is its diameter ( in cm )?
(Take $$\pi = \frac{22}{7}$$
From the top of a 195-m high cliff, the angles of depression of the top and bottom of a tower are $$30^{\circ}$$ and $$60^{\circ}$$, respectively. Find the height of the rower (in m).
