MAH Number Systems Questions

MAH 2024 Number Systems questions

Question 1

The last digit of the number obtained by multiplying the numbers $$81 \times 82 \times 83 \times 84 \times 85 \times 86 \times 87 \times 88 \times 89$$ will be

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Question 2

Find the number of divisiors of 1420

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Question 3

Find the number of zeroes at the end of 1090!

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Question 4

Find the reaminder when the number $$9^{100}$$ is divided by 8.

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Question 5

What is the remainder when $$128^{1000}$$ is devided by 153?

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Question 6

DIRECTION for the question: Solve the following question and mark the best possible option.

Which of the following number is divisible by 99?

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Question 7

Find the largest four-digit number exactly divisible by 15,21 and 28.

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Question 8

How many numbers less than 100 have exactly four factors?

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Question 9

Find the largest number which divides 64, 136, and 238 to leave the same remainder in each case.

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Question 10

If A381 is divisible by 11 , find the value of the smallest natural number A

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Question 11

If 146! is divisble by $$5^{n}$$, then find the maximum value of n

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Question 12

DIRECTION for the question: Solve the following question and mark the best possible option.

The H.C.F. of 3556 and 3444 is

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Question 13

Find the length of the plank which can be used to measure exactly the lengths 4 m 50 cm, 9 m 90 cm, and 16 m 20 cm in the least time.

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Question 14

Find the greatest number which on dividing 70 and 50 leaves remainders 1 and 4 respectively

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Question 15

If 381A is divisible by 9, find the value of the smallest natural number A.

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