SSC CGL 20th April 2022 Shift-1

The value of: $$\left[25+8\div2-\left\{16+\left(14 of 7\div14\right)-\left(18\div12 of \frac{1}{2}\right)\right\}\right]$$

What is the least square number which is exactly divisible by 2, 3 10, 18 and 20?

If $$6 \tan A \left(\tan A - 1\right) = 5 - \tan A$$, Given that O < A < $$\frac{\pi}{2}$$. what is the value of $$\left(\sin A + \cos A\right)$$?

The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?

In a circle with centre O, PA and PB are tangents to the circle at point A and point B, respectively. C is a point on the major are AB. If $$\angle ACB = 50^{\circ}$$, then find the measure of $$\angle$$ APB.

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

The total exports of cars of type A from 2014 to 2016 is approximately what percentage less than the total exports of  cars of type B from 2015 to 2017 (correct to one decimal place)?

80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.

The tops of two poles of heights 18 m and 30.5 meters connected by a wire. If the wire makes an angle of $$30^{\circ}$$ with the horizontal, what is the length (in m) of the wire?

If $$\left(0.4x+\frac{1}{x}\right)=5$$, what is the value of $$0.064x^{3}+\frac{1}{x^{3}}$$?

Manjeet bought a second-hand motorbike for ₹22,000 and spent ₹3,000 on its overhauling and maintenance. He then sold it with 12% profit. If he had sold it for ₹500 less, then what would have been his profit percentage?