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

Simplify: \(\sqrt{12 + 6\sqrt{3}}\)

Given that \(W : X = 5 : 6,\) \(X : Y = 3 : 7,\) and \(Y : Z = 8 : 9,\) find the compound ratio W : X : Y : Z.

What is the value of \(\sqrt{6 + \sqrt{6 + \sqrt{6 + \cdots}}}\)

A vendor purchases 7 shirts at the marked price of 6 shirts. If he sells each shirt after giving a 4% discount on its marked price, what is his profit percentage?

Pipe A is capable of filling a tank in 16 minutes while Pipe B can fill the same tank in 24 minutes. Both pipes are opened together, but after 4 minutes, the rate of Pipe A doubles and the rate of Pipe B becomes half of its original. How many more minutes will it take to fill the tank completely?

If \(a + b = 5\) and \(ab = 6,\) Find: \((a^{3} + b^{3})^{2} - 9a^{2}b^{2}\) \((a + b)^{2}.\)

A sum of ₹10000 is lent out in two parts, one at 7% simple interest and the other at 12% simple interest. If the annual interest is ₹900, the sum lent at 12% is:

Rs. 900 is lent at a certain rate of simple interest. After 9 months, another Rs. 600 is lent at a rate that is 1.5 times the original rate. If the total simple interest after 1 year is Rs. 72, find the original rate.

A flagpole has a shadow measuring 10 meters. Given that the height of the flagpole is \(10\sqrt{3}\) meters, What is the angle at which the sun is elevated?

A hollow metallic sphere has outer radius 10 cm and is melted to make 50 smaller solid spheres of radius 2 cm. What is the inner radius of the original sphere?