SSC GD 23rd Jan 2023 Shift 3

There is a wooden sphere of radius $$15\sqrt{3}$$ cm. The total surface area of the largest possible cube cut out from the sphere will be:

Radha takes a loan of Rs.4,00,000 at 14% per annum compound interest, compounded half-yearly. What is the interest that she repays after 2 years?

A, B, and C can complete a work in 9 days and B can do the same work in 18 days. If B takes 33.33% less time than C, find the time taken by C to complete the work.

If $$x[-3\left\{-6(-a)\right\}]+6[-3\left\{-3(-a)\right\}]=6a$$, then find $$x$$.

Two trains of equal lengths take 13 seconds and 26 seconds, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other?

In a circular race of 1200 m, A and B start from the same point, at the same time with speeds of 27 km/h and 45 km/h, respectively. After how much time will they meet again for the first time on the track when they running in the same direction?

In a chemistry laboratory, there are two varieties of some acid. Variety A costs Rs.80 per litre, while variety B costs Rs.100 per litre. In what proportion must a scientist mix both the varieties A and B, so that the mixture becomes worth Rs.92 per litre?

The HCF and LCM of two natural numbers are 7 and 84, respectively. If one of the numbers is 7, then the difference between the two numbers is:

How many metallic spheres, each of diameter 3 cm, should be melted to mould into a solid cylinder of diameter 4 cm and height 54 cm?

A manufacturer offers a 25% discount on the marked price of a product. The retailer offers another 28% discount on the reduced price. What is the single discount equivalent to the two discounts offered?