Practice SSC CGL 2025 Tier 1 Quant PYQ – 19 Sep 2025 Shift 2 (25 Questions with Solutions)

If \(\sqrt{a} + \sqrt{b} = 5\) and \(\sqrt{a} - \sqrt{b} = 1,\) what are the values of \(a\) and \(b?\)

Which of the following is the least 6-digit number, which is a perfect square?

If 12.5% of \(p\) is equal to 50% of \(q,\) what is the ratio \(p : q?\)

A grocer mixes two varieties of rice — one costing ₹40 per kg and the other costing ₹60 per kg, in the ratio \(2 : 3.\) If he sells the mixed variety at ₹57.20 per kg, find his gain or loss percent.

A book, originally priced at ₹600, is subject to a reduction in cost through two consecutive discounts: an initial markdown of 10%, followed by an additional 20% discount. The question then is to determine the conclusive selling price of the book once both these successive price adjustments have been applied.

Having initially established the marked price of a particular commodity at a 20% premium over its cost price, a retail vendor subsequently extended an unspecified discount. If, following this concession, the transaction ultimately yielded a profit of 8% on the cost price, what was the exact percentage of the discount given?

If \(a^{3} + b^{3} = 35\) and \(ab = 6,\) find the value of \(a + b.\)

At what rate of simple interest will ₹2,000 become ₹2,520 in 4 years?

A person invested ₹8,000 in one scheme at 6% simple interest and ₹5,000 in another scheme at 8% simple interest for the same duration. If he received a total interest of ₹1,760 from both investments, what was the duration (time period) of the investments?

A wheelchair ramp needs to reach a platform that is 1.5 metres high. If the ramp is designed to make an angle of 30° with the level ground, what is the length of the ramp?