SSC CGL Tier l 2023 Question Paper Shift 1 (July 27th)

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 sum of the cubes of the two given numbers?

If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places)

If $$2x + 3y = 16$$ and $$xy = 9$$, then find $$8x^3 + 27y^3$$.

In the following figure, 0 is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD.

If $$x + y = 25$$ and $$xy = 20$$, then find the value of $$x^3 + y3$$.

Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?

Which of the following is the smallest 5-digits number that is exactly divisible by 526?

Two motorists start together to travel to a certain destination, one at the speed of 4 km/h and the other at the speed of 6 km/h. Find the distance travelled by them (in km) if the motorist travelling at 4 km/h arrives half an hour after the other motorist.

If $$A + B = 90^\circ$$ and $$\sin A = \frac{3}{5}$$, then the value of $$\tan B$$ is _____________.

Study the graph carefully.

The imports in 1974 were approximately how many times that of the year 1971?