CAT 2025 Lesson : Factors & Remainders - Past Questions

7. Past Questions

Question 1

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
[CAT 2002]

		41
		53
		75
		80

Question 2

What is the remainder when 4⁹⁶ is divided by 6?
[CAT 2003R]

		0
		2
		3
		4

Question 3

A rod is cut into 3 equal parts. The resulting portions are then cut into 12, 18 and 32 equal parts, respectively. If each of the resulting portions have integer length, the minimum length of the rod is
[IIFT 2013]

		6912 units
		864 units
		288 units
		240 units

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