CAT 2025 Slot 1 Question Paper with Solutions – Page 3
All 69 questions of CAT 2025 Slot 1. Tap Show answer, or open the detailed solution (free login). Page 3 of 17.
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 ____
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Answer: 60
In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is ______
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Answer: 6
The number of non-negative integer values of k for which the quadratic equation x² – 5x + k = 0 has only integer roots, is
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Answer: 3
Let 3 ≤ x ≤ 6 and [x²] = ([x])², where [x] is the greatest integer not exceeding x.
If S represents all feasible values of x, then a possible subset of S is
If S represents all feasible values of x, then a possible subset of S is
- [3, √10] ∪ [4, √17] ∪ {6}
- [3, √10) ∪ [5, √26)
- (4, √18] ∪ [5, √27) ∪ {6}
- (3, √10] ∪ [5, √26) ∪ {6}
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Answer: D. (3, √10] ∪ [5, √26) ∪ {6}
A value of c for which the minimum value of f(x) = x² – 4cx + 8c is greater than the maximum value of
g(x) = –x² + 3cx – 2c, is
g(x) = –x² + 3cx – 2c, is
- 1/2
- –1/7
- 2
- –2
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Answer: A. 1/2