SSC GD 7th Feb 2023 Shift 4

If '$$x$$' is divisible by 3 and 2, then $$2x^{3} + 3x^{2}$$ is divisible by :

The discount on a toy is 15%. A successive discount of 15% is also offered. What is the effective discount on the toy

In an election between two contestants, 25% of the total votes are marked as invalid due to technical problem. The winner gets 7500 votes, which are $$\frac{2}{3}$$ of the total valid votes. The difference in votes of the winner and invalid votes is :

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $$12\sqrt{2}$$cm , then the area of the triangle is:

At what rate of compound interest per annum, compounding annually, does a sum of money become $$\frac{625}{256}$$ times itself in 4 years?

A board 100 cm long is trimmed to 86 cm. What percentage has been removed?

Find the average of the numbers 517, 139, 195, 176 and 192.

Rohan and Sohan can complete a piece of work in 10 days and 12 days, respectively. If they work on alternate days, starting with Sohan, in how many days will the whole work be completed?

A runs at a speed that is $$\frac{11}{9}$$ times the speed of B. If B is allowed to have a head start such that B beats A by $$\frac{1}{3}$$ of the length of the race, what part of the length of the race has been given as head start to B over A?
(Note: Consider A and B to start running at the same time.]

The price of a jacket and handbag are in the ratio of 3 : 2. If a jacket costs ₹600 more than the handbag, then the price of the handbag is: