Practice SSC CGL 2025 Tier 1 Quant PYQ – 19 Sep 2025 Shift 3 (25 Questions with Solutions)

If \((x + y) : (x - y) = 5 : 2,\) find \((x^{3} + y^{3}) : (x^{3} - y^{3})\)

If you subtract the square of a number from 4052 and then multiply the result by 15, you get 41340. What is that number?

Choose the correct relation:

(i) \(\sqrt{10} < 3.2\)

(ii) \(\sqrt{11} < \sqrt{12}\)

(iii) \(\sqrt{13} < \sqrt{14}\)

A trader marked an article 40% above its cost price. He then allowed a discount of 20% on the marked price. If the selling price of the article was ₹560, what was its cost price?

A & B together earn ₹840 for a job. A works the whole time; B joins after the job is 25% done. B is twice as efficient as A. Find B's share.

Given: \(x+\frac{1}{x}=-2\), then determine the value of

\(x^6 +\frac{1}{x^6}\) \({}-3\left(x^4+\frac{1}{x^4}\right)\) \({}+4\left(x^2+\frac{1}{x^2}\right)\)

A sum becomes 2.5 times of itself in 5 years under simple interest. In how many years will it become 5 times itself at the same rate?

A person invested a total sum of ₹1900 in three different schemes of simple interest at 2%, 4%, and 5% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 4%?

A ladder reaches a window 8 meters high on a vertical wall. If the ladder is positioned at a 45° angle to the ground, what is its length? (nearest to a whole number)

A solid cylinder has a radius of 5 cm and a height of 10 cm. A smaller cylindrical hole of radius 3 cm is drilled coaxially through its entire length. What is the approximate volume of the remaining solid?