SSC CHSL 13th March 2023 Shift-4

The cost price of two dozen bananas is Rs.30. After selling 15 bananas at the rate of Rs. 12 per dozen, the shopkeeper sells the remaining bananas at the rate of Rs.5 per dozen. What is the loss percentage?

If x - y = 8 and 8xy = 8, then what is the value of $$2x^{3} - 2y^{3}$$?

The line chart given below shows the masks obtained by two students P and Q in 6 subjects.

Which of the following statement is correct?

I. The average of marks obtained by P in S1 and S2 is 70.
II. The ratio of marks obtained by Q in S3 to the marks obtained in S4 are 13 : 7.

If $$a + b + c = 12$$ and $$ab + bc + ca = 22$$, then what is the value of $$a^{3} + b^{3} + c^{3} - 3abc$$?

If $$\triangle$$PQR is right angled at Q, then what is the value of $$\cos$$ (P + R)?

Angle subtended by a chord on the major are of the circle is 50 degree. What is the angle subtended by the same chord on the centre of the circle?

The line chart given below shows production of rice by two companies A and B in 5 years.

J1 = The average production of rice by A in years L, M and N.
J2 = The production of rice by B in years N. P and Q.
What is the value of(J2/J1)?

If $$3\tan \theta= 2$$, what is the value of $$(3\sin\theta - \cos\theta)/ (3\sin \theta+ \cos\theta)$$?

What is the expansion of $$\left(1 - \frac{1}{p}\right)^{2}$$?

If $$\sqrt{3}\tan^{2} \theta - 4 \tan \theta + \sqrt{3} = 0$$, then what is the value of $$\tan^{2}\theta + \cot^{2}\theta$$?