Practice SBI PO 2026 Prelims Quant PYQ – 1 Aug 2026 Shift 2 (30 Questions with Solutions)

The speed of a boat in the downstream direction is 18 km/h, and its speed in the upstream direction is 10 km/h. The boat covers 144 km downstream and 120 km upstream in a total of 20 hours. Find the speed of the boat in still water.

P and Q started a business by investing capital at the beginning of the year. Q invested Rs 18,000. After 6 months, R joined the business with an investment of Rs 12,000. At the end of 1 year, the total profit earned was Rs 1,800, out of which P's share was Rs 600. Find the initial investment of P.

A man spends 10% of his monthly income on education. Out of the remaining amount, he spends 20% on food. From the amount left thereafter, he spends 25% on travelling. If he finally saves Rs 32,400, find his monthly income.

The simple interest on a certain principal at 20% per annum for 2 years is ₹5,700 more than the compound interest on the same principal at 10% per annum, compounded annually, for 2 years. Find the principal.

The area of a rectangle is \(192\text{ cm}^{2}\), and its breadth is 8 cm. The length of the rectangle is equal to the radius of a cylinder. If the height of the cylinder is 14 cm, find the volume of the cylinder. (Use \(\pi = \dfrac{22}{7}\))

A shopkeeper marks an article 50% above its cost price. He sells it at a 20% profit. Find the discount percentage offered on the marked price.

A vessel contains 140 liters of a mixture of milk and water in the ratio \(9 : 5.\) How many liters of the mixture should be removed and replaced with the same quantity of pure water so that the ratio of milk to water becomes \(18 : 17?\)

A train crosses a 480 m long platform in 36 seconds and crosses a 700 m long bridge in 48 seconds. Find the speed of the train.

A and B start working together on a project. After every 4th working day, A takes leave on the next day, while B works every day. In the first 15 days, on how many days did both A and B work together?

The present age ratio of A to B is \(3 : 2.\) Four years from now, the ratio of A's age to C's age will be \(5 : 4.\) If C will be 16 years old four years from now, find the present age of B.