CAT 2025 Slot 2 Question Paper with Solutions – Page 4

Suppose a, b, c are three distinct natural numbers, such that 3ac = 8(a + b).
Then, the smallest possible value of 3a + 2b + c is _______

Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively.
Then, the ratio of the areas of trapezium PBCQ and hexagon ABCDEF is _______

In a triangle ABC, points D and E are on the sides BC and AC, respectively. BE and AD intersect at point T such that AD : AT = 4 : 3, and BE : BT = 5 : 4. Point F lies on AC such that DF is parallel to BE. Then, BD : CD is

Two tangents drawn from a point P touch a circle with center O at points Q and R. Points A and B lie on PQ and PR, respectively, such that AB is also a tangent drawn to the same circle. If ∠AOB = 50°, then ∠APB is _____

The sum of digits of the number (625)⁶⁵ × (128)³⁶ is ______