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Frequently Asked Maths Math Questions and Answer Page 20

(#M40020222) MATHS QUESTION Keep an EYE

Show that, if n is an integer, n2 + 11n + 2 is not divisible by 12769.

Asked In maths AISHWARYA (12 years ago)

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(#M40020221) MATHS QUESTION Keep an EYE

Let n be an integer. Can both n + 3 and n2 + 3 be perfect cubes?

Asked In maths AISHWARYA (12 years ago)

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(#M40020220) MATHS QUESTION Keep an EYE

Find all solutions to c2 + 1 = (a2 − 1)(b2 − 1), in integers a, b, and c.

Asked In maths AISHWARYA (12 years ago)

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(#M40020219) MATHS QUESTION Keep an EYE

Suppose n fair 6-sided dice are rolled simultaneously. What is the expected value of the score on the highest valued die?

Asked In maths AISHWARYA (12 years ago)

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(#M40020218) MATHS QUESTION Keep an EYE

Find the smallest natural number greater than 1 billion (109) that has exactly 1000 positive divisors.

Asked In maths AISHWARYA (12 years ago)

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(#M40020217) MATHS QUESTION Keep an EYE

If x and y are positive real numbers, show that xy + yx > 1.

Asked In maths AISHWARYA (12 years ago)

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(#M40020216) MATHS QUESTION Keep an EYE

Show that n4 + 4n is composite for all integers n > 1.

Asked In maths AISHWARYA (12 years ago)

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(#M40020215) MATHS QUESTION Keep an EYE

A fair coin is tossed n times. What is the probability that no two consecutive heads appear?

Asked In maths AISHWARYA (12 years ago)

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(#M40020214) MATHS QUESTION Keep an EYE

Is the number 2438100000001 prime or composite?

Asked In maths AISHWARYA (12 years ago)

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(#M40020211) MATHS QUESTION Keep an EYE

If x is a positive rational number, show that xx is irrational unless x is an integer.

Asked In maths AISHWARYA (12 years ago)

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