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

What will come in place of ? to satisfy the equation : \((\sqrt{3} + 2)^{2} = ? + 4\sqrt{3}\)

Solve: \(\left(\sqrt{7225} - \sqrt{1225}\right)\) \({}\times \left(\frac{1}{5}\right)\)

If \(25\%\text{ of }(P + Q)\) \({}= 75\%\text{ of }(P - Q),\) then find the ratio P: Q.

A bag contains ₹5, ₹2, and ₹1 coins in the ratio \(2 : 3 : 4.\) If the total amount of money in the bag is ₹200, find the number of coins of each kind.

A shopkeeper marked a watch at ₹800. He sold it after allowing a 15% discount. If his profit on the sale was 20%, what was the cost price of the watch?

A product is sold at a 20% discount on its marked price. This transaction results in a profit of 10% on its cost price. If the profit earned is ₹300, what would have been the selling price if the product was sold at a 30% discount on its marked price?

If the cubic equation \(a^{3} - 4a^{2} + 5a - 2 = 0\) has the root \(x,\) \(y,\) \(z\) then find the value of \(x + y + z.\)

C borrowed ₹6000 from D on 15 March 2023 at a simple interest rate of 10% per annum. C decided to repay the loan on 15 September 2023. How much total amount must C return to D?

A person invested a total sum of ₹2200 in three different schemes of simple interest at 4%, 5%, and 10% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 5%?

A man standing on the top of a 120 m high tower observes the angles of depression of two cars on opposite sides of the tower to be 30°and 45°. What is the distance between the two cars?