Practice SSC CGL 2025 Tier 1 Quant PYQ – 17 Sep 2025 Shift 3 (25 Questions with Solutions)

A gardener organizes plants into rows to create a square formation but discovers that 15 plants are not included. If the total number of plants is 3984, then what is the number of plants in each row?

If A is 25% more than B, and B is 20% more than C, then what is A : C?

Evaluate \(\sqrt{12 + \sqrt{12 + \sqrt{12 + \cdots}}}\)

The cost price of an article is ₹500. A shopkeeper sells it at a discount of 20% on the marked price. If the marked price is ₹600, what is the shopkeeper’s profit or loss percentage?

Pipes A and B can fill a tank in 20 minutes and 30 minutes, respectively. Meanwhile, a drainpipe C can empty the tank in 60 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank?

Given \(x + y + z = 0,\) and \(x^{3} + y^{3} + z^{3} = 3xyz,\) evaluate \((x - y)^{3}\) \({}+ (y - z)^{3}\) \({}+ (z - x)^{3}.\)

A sum of ₹5000 is lent out in two parts, one at 6% simple interest and the other at 9% simple interest. If the annual interest is ₹390, the sum lent at 6% is:

A man has ₹15,000. He lends a part of it to X for 3 years at 10% simple interest and the remaining to Y for 3 years at 12% simple interest. If the total interest received from both X and Y after 3 years is ₹4,950, find the amount lent to X.

A taut wire supports a vertical pole. The wire is fixed to the ground 10 meters away from the base of the pole and makes an angle of 60° with the ground. What is the length of the wire?

A cone and a sphere have equal volumes. If the cone’s height is twice its radius, what is the ratio of the cone’s radius to the sphere’s radius?