SSC CHSL 5 July 2019 Shift-1

In a $$\triangle$$ABC,the bisectors of $$\angle$$B and $$\angle$$C meet at point O within the triangle. If $$\angle$$BOC = $$148^\circ$$ , then the measure of $$\angle$$A is:

A circle is inscribed in a triangle ABC.It touches sides AB, BC and AC at points P, Q and R respectively. If BP = 9 cm, CQ = 10 cm and AR = 11 cm, then the perimeter (in cm)of the triangle $$\triangle$$ABC is:

A number is decreased by 30%, then increased by 30%, then further increased by 30%. What is the net increase/decrease percent in the number (correct to the nearest integer)?

If $$a^2 + b^2 = 135  and  ab = 7, (a > 0, b > 0)$$ then the value of $$(a^3 - b^3)$$ is:

What is the area of a rhombus(in cm$$^2$$) whose side is 20 cm and one of the diagonals is 24 cm ?

If $$x^4 + x^{-4} = 1442, (x > 0)$$ then the value of $$x + x^{-1}$$ is:

9 years ago, the average age of a family of five members was 33 years. Now, three new members join whose ages are in ascending order with consecutive gaps of 8 years. If the present average age of the family is the same as it was 9 years ago, what is the age (in years) of the eldest new member?

A car covers 25 km at a uniform speed. If the speed had been 8 knv/h more, it would have taken 10 hours less for the same journey. What is the speed of the car (in km/h)?

A, B and C can complete a piece of work in 5, 20 and 60 days respectively. Working together, they can complete the same work in how many days?

A man bought 2 articles for ₹3050 each. He sold onearticle at 10% loss and another at 20% profit. The total profit/loss percentage he earned is: