SSC CGL 18th April 2022 Shift-2

The expression $$\left(\cos^{6} \theta + \sin^{6} \theta\right)\left(\tan^{2} \theta + \tan^{2} \theta + 2\right) + 1$$

A railway engine passes two bridges of lengths 400 m and 235 m and 100 seconds and 60 seconds. respectively. Twice the length of the railway engine (in m) is:

The sides AB and AC of $$\triangle$$ ABC are produced to points D and E. respectively. The bisectors of $$\angle$$ CBD and $$\angle$$ BCE meet at P. If $$\angle A = 88^{\circ}$$,then the measure of $$\angle$$ P is:

The given bar graph shows exports of cars of type A and B (in ₹ millions) from 2014 to 2018. Study the graph and answer the question that follows.
Exports of Cars of Type A and B (in ₹ millions) during 2014 to 2018.

In which year are the exports of cars of type A ₹20 million less more than the average exports (per year) of cars of type B?

If  $$a^{2} + b^{2} + 49c^{2} + 18 = 2 \left(b - 28c - a \right)$$, then the value of (a - b - 7c) is:

Joseph deposited a total of ₹52,500 in a bank in the names of his two daughters aged 15 years and 16 years in such a way that they would get equal amounts when they become 18 years old. If the bank gives 10', compound interest compounded annually, then what is the amount (in ₹) that Joseph had deposited in the name of his younger daughter?

The circumference of the base of a right circular cylinder is 62.8 cm and its volume is 8792 $$cm^{3}$$ . What is the curved surface area (in $$cm^{2}$$) of the cylinder (Take $$\pi$$ = 3.14)

The average of eight consecutive odd numbers is 28. The sum of the smallest and the largest number is:

In $$\triangle$$ ABC, AB = 7 cm. BC = 10 cm. and AC= 8 cm. If AD is the angle bisector of $$\angle$$ BAC, where D is a point on BC, then $$\frac{DC}{4}$$ (in cm) is equal to:

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
During which hour(s) is the number of cars passed more than the average number of cars passed from 6 am to 11 am?