Practice SSC MTS 2024 Question Paper – 16 Oct 2024 Shift 2 (with Solutions)

The external and internal diameters of a hollow cylindrical pipe are 14 cm and 12 cm, respectively. What is the volume of iron used to make the pipe if the height of the pipe is 21 cm? (Use \(\pi = \frac{22}{7}\))

A cylinder with a radius of 12 cm and height of 38 cm is cut parallel to the base into two pieces of different sizes. The total surface area of the larger piece formed is 60% of the total surface area of the given cylinder. The smaller piece is melted and used to create a sphere. Find the radius (in cm) of the sphere.

Find the simple interest (in₹) on ₹940 for 3 years at 5% per annum.

Find the simple interest (in ₹) on ₹3500 as a sum borrowed at 5% per year rate of interest for 2 years.

In a group of 260 people, one-fourth are women, two-fifth are men and the rest are children. The average age of women is five-sixth of the average age of men, average age of children is one-third of the average age of men. If the average age of men is 48 years, what is the average age of the group in years?

Reduce \(\frac{374}{418}\) to the lowest term.

A man bought an article for ₹500 and sold it for ₹600. Find his profit percentage.

Aniruddh invested ₹15,000 in the shares of a company. The shares rose by 15% one day and fell by 10% on the other day. What is the current value (in ₹) of Aniruddh’s investment?

Find the ratio of the curved surface areas of two cones if the diameters of the bases are equal and slant heights are in the ratio \(5 : 3.\)

The difference between discounts on a bill for ₹22,500 under two schemes, a discount of 40% and two successive discounts of 36% and 4%, is: