SSC CHSL 4 July 2019 Shift-1

The simplified value of $$3 \times 6 \div 4  of  6 - 6 \div 2 \times  (4 - 6) + 4 - 2 \times 3 \div 6  of  \frac{1}{3}$$  is:

The average of n numbers is 36. If each of 75% of the numbers is increased by 6 and each of the remaining numbers is decreased by 9, then the new average ofthe numbers is:

If $$8(a + b)^3 + (a - b)^3 = (3a + b)(Aa^2 + Bab + Cb^2)$$, then what is the value of (A + B - C) ?

If a 10-digit number 75y97405x2 is divisible by 72, then the value of (2x-y), for the greatest value of x, is:

In $$\triangle$$ABC, D is a point on BC such that $$\angle$$BAD = $$\frac{1}{2}$$ $$\angle$$ADC, $$\angle$$BAC = $$87^\circ$$ and $$\angle$$C = $$42^\circ$$. What is the measure of $$\angle$$ADB ?

ABCD is a cyclic quadrilateral such that its sides AD and BC produced meet at P and sides AB and DC produced meet at Q. If $$\angle$$A = $$62^\circ$$ and $$\angle$$ABC = $$74^\circ$$, then the difference between $$\angle$$P and $$\angle$$Q is:

If $$x^2 - 6x + 1 = 0$$, then the value of $$\left(x^4 + \frac{1}{x^2}\right) \div (x^2 + 1)$$ is:

For $$\theta$$ being an acute angle, if $$\cosec \theta = 1.25$$, then the value of $$\frac{4 \tan \theta - 5 \cos \theta}{\sec \theta + 4 \cot \theta}$$ is equal to:

In a circle with centre O, AB is a diameter. Points C, D and E are on the circle on one side of AB such that ABEDC is a pentagon. The sum of angles ACD and DEB is:

A train covers a certain distance in 45 minutes.If its speed is reduced by 5 km/h,it takes 3 minutes more to cover the same distance. The distance (in km)is: