CAT 2025 Slot 1 Question Paper with Solutions – Page 4
All 69 questions of CAT 2025 Slot 1. Tap Show answer, or open the detailed solution (free login). Page 4 of 17.
For any natural number k, let aₖ = 3ᵏ. The smallest natural number m for which (a₁)¹ × (a₂)² × ... × (a₂₀)²⁰ < (a₂₁ × a₂₂ × ... × a₂₀₊ₘ)⁵ is:
- 56
- 59
- 58
- 57
Show answerHide answer
Answer under review
The number of distinct pairs of integers (x, y) satisfying the inequalities x > y ≥ 3 and x + y < 14 is ____.
Show answerHide answer
Answer: 16
The number of distinct integers n for which log_(1/4) of (n² − 7n + 11) > 0 is _____.
Show answerHide answer
Answer: 0
A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich, is
- 880
- 600
- 800
- 840
Show answerHide answer
Answer: A. 880
In the set of consecutive odd numbers {1, 3, 5, …, 57}, there is a number k such that the sum of all the elements less than k is equal to the sum of all the elements greater than k. Then, k equals
- 37
- 43
- 39
- 41
Show answerHide answer
Answer: D. 41