How to solve IPMAT 2020 - Quantitative Aptitude Question 11?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

Which concept is tested in this question?

This question tests fundamental concepts commonly asked in IIM IPMAT exams.

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IPMAT 2020 - Quantitative Aptitude Question 11

This is a detailed step-by-step solution for IPMAT 2020 - Quantitative Aptitude Question 11. Understand the concept, common mistakes, and expert tips to solve similar questions in IIM IPMAT exam.

IPMAT 2020 - Quantitative Aptitude

10¹⁹ = 2¹⁹ × 5¹⁹
No. of factors of 10¹⁹
= (19 + 1) (19 + 1)
= 20 × 20 = 400
No. of factors of 10¹⁹ that are multiple of 10¹⁵
= 2¹⁹ × 5¹⁹
= 2¹⁵ × 5¹⁵ (2⁴ × 5⁴)
= 10¹⁵ (2⁴ × 5⁴)
No. of factors of 10¹⁹ that are multiples of 10¹⁵ are factors of
= 5 × 5 = 25
No. of factors = (4 + 1 ) (4 + 1)
= 5 × 5 = 25

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