SSC CGL Tier l 2023 Question Paper Shift 4 (July 20th)

Pass percentage of an examination is 35%. If a student who got 210 marks, failed by 14 marks, then what are the maximum marks of the examination?

The following pie charts show the data of the number of appeared and passed students of class 12 in sections A, B, C, D and E.

What is the percentage of students who appeared for the exam in section E ( correct to one decimal place)?

If $$\left(x - \frac{1}{x}\right) = 6$$ and x > 0, find the value of $$\left(x^2 - \frac{1}{x^2}\right)$$.

What is the value of $$\sec^2 A - \tan^2 A$$?

The average monthly income of the father and mother is ₹5,000. The average monthly income of the mother and her son is ₹6,000. The average monthly income of the father and his son is ₹10,000. Find the monthly income (in ₹) of the father.

$$\triangle ABC - \triangle PQR, ar(\triangle ABC) = 16 cm^2$$ and $$ar(\triangle PQR) = 25 cm^2$$. If BC = 20 cm, then QR is equal to:

X, Y and Z completed a work costing ₹3,400. X worked for 5 days, Y for 7 days and Z for 10 days. If their daily wages are in the ratio of 4: 5: 3, how much amount will be received by X?

Ram rides at the rate of 36 km/h but stops for five minutes to take a drink at the end of every 10 km. Find the time that Ram will take to cover a distance of 84 km.

A 15 cm long perpendicular is drawn from the centre of a circle to a 40 cm long chord.
Find the diameter of the circle.

If $$\left(x + \frac{1}{x}\right) = 3\sqrt{2}$$, and $$x > 1$$, what is the value of $$\left(x^8 - \frac{1}{x^8}\right)$$?