SSC CHSL 4 July 2019 Shift-2

If $$a^2 + b^2 = 88  and  ab = 6, (a > 0, b > 0)$$ then what is the value of $$(a^3 + b^3) ?$$ 

In a $$\triangle$$ABC, the bisectors of $$\angle$$B and $$\angle$$C meet at point O within the triangle. If $$\angle$$A is given, then which among the given options is true ?

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and respectively. If BP = 6.5 cm, CQ = 4.5 cm and AR = 5.5 cm, then the perimeter (in cm) of the triangle $$\triangle$$ABC is:

If a 10-digit number 1220x558y2 is divisible by 88, then the value of(x + y) is:

Two circles of radii 5 cm and § cm intersect at the points A and B. If AB = 8cm and the distance between the centres of two circles is x cm, then the value of x (to the closest integer) is:

The simplified value of $$5  of  8 - 6 + [(27 - 3) \div 6 - 4]$$ is:

What is the area of a rhombus (in cm$$^2$$) whose side is 10 cm and the smaller diagonal is 12 cm ?

If $$\tan x = cot (65^\circ + 9x)$$, then what is the value of x ?

10 years ago, the average age of a family of five members was 38 years. Now, two new members join, whose age difference is 8 years. If the present average age of the family is the same as it was 10 years ago, what is the age (in years) of the new younger member?

Let $$\triangle ABC \sim \triangle QPR  and  \frac{ar(\triangle ABC)}{ar(\triangle PQR)} = \frac{9}{4}$$. If AB=9 cm, BC = 6 cm and AC = 12 cm then QR is equal to: