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

Simplify the expression: \(\sqrt{9+4\sqrt{5}}\)

If 25% of \(A = 20\%\) of \(B = 10\%\) of C, find A:B:C.

Which of the following is correct?

(i) \(\sqrt{7} + \sqrt{2} > \sqrt{6} + \sqrt{3}\)
(ii) \(\sqrt{7} + \sqrt{2} < \sqrt{6} + \sqrt{3}\)
(iii) \(\sqrt{7} + \sqrt{2} = \sqrt{6} + \sqrt{3}\)

A laptop is priced at ₹40,000. A customer gets a discount of ₹4,000 on it. After the discount, the customer buys a mouse for ₹1,500 at a 20% discount. What is the total amount the customer spends on both items?

Two pipes A and B can fill a tank in 18 and 24 minutes respectively. After both are opened together for 6 minutes, the rate of pipe A becomes half, and pipe B becomes double its original. In how many more minutes will the tank be full?

If \(x+\frac{1}{x}=-1\), then compute: \(x^4+\frac{1}{x^4}+2x^2+\frac{2}{x^2}\).

Sarah lent ₹12,000 to John on 10 January 2024 at a simple interest rate of 6% per annum. John plans to pay back the entire amount on 10 July 2024. What is the total amount John needs to return?

If A, B, and C are three amounts of money such that B is the simple interest on A, and C is the simple interest on B, all for the same time and at the same rate of interest, then which of the following is true?

A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is 45°?

A hemisphere of radius 5 cm is carved from a sphere. What is the volume of the hemisphere?