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Factors

Q.No: 1
Test Name : CAT 2018 Actual Paper Slot 2

If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2x, then the largest possible x is

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Q.No: 2
Test Name : CAT 2019 Actual Paper Slot 2

How many factors of 24 × 35 × 104 are perfect squares which are greater than 1?

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Q.No: 3
Test Name : CAT Actual Paper 2023 Slot 1

Let n be the least positive integer such that 168 is a factor of 1134n. If m is the least positive integer such that 1134n is a factor of 168m, then m + n equals

A
15
B
9
C
24
D
12
Solution:
Q.No: 4
Test Name : CAT Actual Paper 2023 Slot 2

The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

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Q.No: 5
Test Name : CAT Actual Paper 2023 Slot 3

The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is

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