SSC CHSL 17th March 2023 Shift-3

P's income is 250 percent of Q's income and P's expenditure is 180 percent of Q's expenditure . If P's income is 400 percent of Q's expenditure, then what is the respective ratio of P's savings and Q's savings?

If $$\sin \theta = \frac{5}{13}$$, then what is the value of $$\frac{\cos^{2} \theta - \sin^{2} \theta}{2\cos\theta.\sin\theta}$$?

The perimeter of an isosceles triangle is 91 cm. If one of the equal sides measures 18 cm, then what is the value of the other non-equal side?

What is the average of all prime numbers between 30 and 50?

In $$\triangle$$XYZ, I is the incentre of the $$\triangle$$XYZ. If $$\angle$$XYZ = 40 degree, then what is the value of $$\angle$$XIZ?

Sides of a triangle are 9 cm, 6 cm and 5 cm. What is the value of circumradius of this triangle?

S does half as much work as T in 1/8 of the time taken by T. If they together complete a work in 60 days, then how may days shall S alone take 10 complete that work?

If $$\sin \alpha = 1/2$$ and $$\sin \beta = 1/2$$, then what is the value of $$\cos(\alpha + \beta \gamma)?$$ (O degree < $$\alpha, \beta$$ < 90 degree)

If a + b + c = 1, ab + bc + ca = -1 and abc = - 1, then what is the value of $$a^{3} + b^{3} + c^{3}$$?

Initial value of a car is Rs.20000. The value of car depreciated by 20 percent of its initial value each year. What will be its value after 3 years?