Practice SSC CGL 2025 Tier 1 Quant PYQ – 20 Sep 2025 Shift 1 (25 Questions with Solutions)

Find the value of \(x\) in given equation: \(\dfrac{\sqrt{3+x}+\sqrt{3-x}}{\sqrt{3+x}-\sqrt{3-x}}\) \({}= 2\)

A furniture establishment initially disposes of a particular dining table for ₹Z, thereby realising a 25% profit margin. Subsequently, as a promotional strategy for a festive period, the marked price of this identical table is elevated to ₹1.6Z. Following this adjustment, a special concession of 20% is applied to the newly established marked price. The inquiry then seeks to ascertain the resulting percentage profit generated by the store during this specific celebratory sales period.

What is the percentage profit earned by the store during the festive sale?

What is the compound interest on a sum of Rs. 12,500 at 15% p.a. in 2 years, if the interest is compounded 8-monthly?

A contractor employs 15 men to complete a work in 24 days, working 8 hours per day. After six days, he adds five more men but also reduces the working hours to six per day from the seventh day onwards. If all men work with the same efficiency throughout, how many more days will be required to finish the remaining work?

A thief and a police officer are 500 meters apart. If they run in the same direction, the police officer catches the thief in 10 minutes. If they run towards each other, they meet in 2 minutes. What is the speed of the thief in meters per minute?

What type of number is the result of multiplying a Rational Number with an Irrational Number?

Three metallic spheres with radii 3 cm, 4 cm, and 5 cm respectively are melted together and recast into a single solid sphere. What is the radius of the new sphere?

A car runs 18.4 km using 2½ liters of petrol. What is the mileage in km per liter (rounded to 2 decimals)?

In a three-way joint venture, the first investor contributes capital, the second contributes time and strategy, and the third brings a network of suppliers. They agree to share profits in the ratio \(3 : 2 : 2.\) If the venture earns Rs. 1,40,000 in the first year, how much should the strategist (second partner) receive?

A ribbon is cut into three pieces in the ratio \(2 : 3 : 5.\) If the length of the longest piece is 20 cm, what is the total length of the ribbon?