CAT 2025 Slot 2 Question Paper with Solutions – Page 3
All 68 questions of CAT 2025 Slot 2. Tap Show answer, or open the detailed solution (free login). Page 3 of 19.
If 9^(x² + 2x – 3) − 4(3^(x² + 2x − 2)) + 27 = 0,
then the product of all possible values of x is _____
then the product of all possible values of x is _____
- 20
- 15
- 30
- 5
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Answer: A. 20
If m and n are integers such that (m + 2n)(2m + n) = 27,
then the maximum possible value of 2m − 3n is ___
then the maximum possible value of 2m − 3n is ___
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Answer: 17
The set of all real values of x for which (x² − |x + 9| + x) > 0, is
- (−∞, −3) ∪ (3, ∞)
- (−9, −3) ∪ (3, ∞)
- (−∞, −9) ∪ (3, ∞)
- (−∞, −9) ∪ (9, ∞)
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Answer: A. (−∞, −3) ∪ (3, ∞)
If a, b, c and d are integers such that their sum is 46, then the minimum possible value of
(a − b)² + (a − c)² + (a − d)² is ______
(a − b)² + (a − c)² + (a − d)² is ______
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Answer: 2
The number of divisors of 2⁶ × 3⁵ × 5³ × 7², which are of the form (3r + 1), where r is a non-negative integer, is
- 24
- 56
- 36
- 42
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Answer: D. 42