GATE CSE Quantitative Aptitude – Number Systems, Percentages, Ratio & Work | Set 1

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Question 1

NAT · Numerical Answer 1 mark

Find the highest power of 7 that divides 250! completely.

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NAT · Numerical Answer 1 mark

Find the highest power of 3 that divides 400! completely.

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MCQ · Single Correct 1 mark

Find the number of trailing zeros in 125!.

A 33 B 28 C 29 D 31

NAT · Numerical Answer 1 mark

Find the number of trailing zeros in 500!.

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MSQ · Multiple Correct 1 mark

Which of the following statements about powers of 7 are CORRECT?

A The unit-digit cycle of powers of 7 has length 4. B $7^1$ has unit digit 7. C $7^2$ has unit digit 9. D $7^3$ has unit digit 3.