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CAT Quant Slot 3 2023 PYQs — Page 2

For some real numbers a and b, the system of equations x+y=4 and (a+5)x+(b²-15)y=8b has infinitely many solutions for x and y. Then, the maximum possible value of ab is:
15
33
55
25
CAT • 2023 • Quant Slot 3
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Let n be any natural number such that 5ⁿ⁻¹<3ⁿ⁺¹. Then, the least integer value of m that satisfies 3ⁿ⁺¹<2ⁿ⁺ᵐ for each such n, is:
5
6
7
8
CAT • 2023 • Quant Slot 3
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