Practice SSC CGL 2025 Tier 1 Quant PYQ – 18 Sep 2025 Shift 2 (25 Questions with Solutions)

If 30% of \(m\) is equal to 18% of \(n,\) what is the ratio \(m\): \(n?\)

Find the value of \(\sqrt{388 + \sqrt{127 + \sqrt{289}}}\)

Identify the incorrect relationship(s) from the list below:
(i) \(\sqrt{6} + \sqrt{2} = \sqrt{5} + \sqrt{3}\)
(ii) \(\sqrt{6} + \sqrt{2} < \sqrt{5} + \sqrt{3}\)
(iii) \(\sqrt{6} + \sqrt{2} > \sqrt{5} + \sqrt{3}\)

A bookseller purchases 5 novels at the marked price of 4 novels from a distributor. If he then sells these novels to customers, offering a discount of 5% on the marked price, what is his profit percentage?

A and B can finish a certain job in 28 and 35 days, respectively. They started working together, but A left after a while, and B managed to complete the remaining work in 17 days. How many days did A work before leaving?

Given, \(x + \frac{1}{x} = 4\), find the value of: \(x^6 + \frac{1}{x^6}\) \({}- 3\left(x^4 + \frac{1}{x^4}\right)\) \({}+ 4\left(x^2 + \frac{1}{x^2}\right)\)

Reena borrowed Rs. 1200 at simple interest for a number of years equal to the rate of interest. At the end of the loan term, she paid Rs. 432 in interest. What was the interest rate?

A person invested ₹20,000 in two different schemes. He invested one part for 4 years at 8% simple interest and the other part for the same duration at 10% simple interest. If the interest earned from the second part was ₹2,240 more than the interest earned from the first part, how much money was invested in the second scheme?

A rock climber uses a rope to ascend a cliff. If the vertical height of the cliff is 35 meters and the rope makes an angle of 30° with the level ground, what is the minimum length of the rope required to reach the top?

A marble is spherical in shape with a radius of 4 cm. If the marble is placed inside a cube with side length 10 cm, what is the volume of the cube that is not occupied by the marble?