CAT 2025 Slot 1 Question Paper

Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gained a total amount of Rs 8200 in one year. The amount, in rupees, that she gained from the bonds, was

If $$a-6b+6c=4$$ and $$6a+3b-3c=50$$, where a, b and c are real numbers, the value of $$2a+3b-3c$$ is

The (x, y) coordinates of vertices P, Q and R of a parallelogram PQRS are (-3, -2), (1, -5) and (9, 1), respectively. If the diagonal SQ intersects the x-axis at (a, O) , then the value of a is

In a circle with center C and radius $$6\sqrt{2}$$ cm, PQ and SR are two parallel chords separated by one of the diameters. If $$\angle QC=45^{circ}$$, and the ratio of the perpendicular distance of PQ and SR from C is 3: 2, then the area, in sq. cm, of the quadrilateral PQRS is

The ratio of the number of students in the morning shift and afternoon shift of a school was 13 : 9. After 21 students moved from the morning shift to the afternoon shift, this ratio became 19 : 14. Next, some new students joined the morning and afternoon shifts in the ratio 3 : 8 and then the ratio of the umber of students in the morning shift and the afternoon shift became 5 : 4.
The number of new students who joined is

If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is

The number of non-negative integer values of k for which the quadratic equation $$x^{2}-5x+k=0$$ has only integer roots, is

A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is