SSC CGL Tier l 2023 Question Paper Shift 3 (July 24th)

A car covers a distance of 350 km in 5 hours and covers another 450 km at a speed of 90 km/h. What is the average speed (in km/h) of the car?

Simplify the following.
$$\frac{0.01 \times 0.01 \times 0.01 + 0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 - 0.015 \times 0.05 + 0.015 \times 0.015}$$

A shopping mart offers four different discounts schemes on the sale of an object as follows:
(1) A discount of 30%
(2) Two successive discounts of 15%
(3) Buy 2, get 1 free
(4) Buy 5, get 3 free
Which discount scheme offers the maximum discount to a customer?

Two circles with radii 22 cm and 16 cm touch each other externally. The length of the direct common tangent is:

If $$\triangle$$ ABC and $$\triangle$$ DEF are congruent triangles, then which of the following is FALSE?

If $$\tan x = \frac{7}{5},$$ then the value of $$\frac{9 \sin x - \frac{42}{5} \cos x}{15 \sin x + 21 \cos x}$$ is:

The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?

If $$\frac{a}{b} = \frac{7}{6}$$, then find the value of the expression $$\frac{6a + 13b}{6a - 13b}$$.

In a 200-m linear race, if A gives B a start of 25 m, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 m, the race ends in a dead heat. How long does A take to run 200m?

Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, then in how many hours can Riya copy 20 pages?