SSC CHSL 31st May 2022 Shift-3

∆ABC is similar to $$\triangle$$ PQR. The area of $$\triangle$$ ABC is 64 $$cm^{2}$$ , and the area of $$\triangle$$ PQR is 121 $$cm^{2}$$ .If QR=15.4 cm, what is the length of BC?

The following table represents the weightage of different decision features of an automobile. With the help of this information, calculate the weighted average.
Features Weightage
Safety - 8/10 40%
Comfort - 6/10 20%
Fuel Mileage - 5/10 30%
Exterior looks - 8/10 10%

The ratio of time taken by Anamika and Bani to complete a work is 1 : 3, respectively.
Therefore, Anamika is able to finish a job in 40 days less than Bani. If they work
together, they can complete the work in ______ days.

Simplify: $$3ab \times \left(a+b\right)^{-1} \times \left(a^{-1}+ b^{-1}\right)$$

If $$x + \frac{1}{x} = 5$$, then the value of $$\frac{3x}{2x^{2}+2-5x}$$ will be _________.

If a sum on compound interest (compounded yearly) becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in:

Simplify $$2\frac{2}{3} + 1\frac{4}{3} \times 1\frac{6}{7} \div 5\frac{1}{2}$$

There is a 20% discount on a dozen pairs of shoes marked at ₹7,200. How many pair of shoes can be bought with ₹1,440?

In a right circular cylinder, the ratio of the curved surface to the total surface area is 3:7. Find the ratio of the height of the cylinder to the radius of its base.

The salaries of P and Q together amount to ₹1,20,000. P spends 95% of his salary and Q 85% of his. If their savings are the same, then what is P’s salary?