Exponents
Q.No: 1
Test Name : CAT Actual Paper 2023 Slot 2
Let a, b, m and n be natural numbers such that a > 1 and b > 1. If am bn = 144145, then the largest possible value of n – m is
Solution:
Q.No: 2
Test Name : CAT Actual Paper 2023 Slot 3
Let n and m be two positive integers such that there are exactly 41 integers greater than 8m and less than 8n, which can be expressed as powers of 2. Then, the smallest possible value of n + m is
Solution:
Q.No: 3
Test Name : CAT Actual Paper 2023 Slot 3
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
Solution:
Solution:
Solution:
Solution:
