• Placement Questions
• /
• Maths

Frequently Asked Maths Math Questions and Answer Page 21

(#M40020210) MATHS QUESTION Keep an EYE

What is the 1000th digit to the right of the decimal point in the decimal representation of (1 + root 2)3000 ?

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020209) MATHS QUESTION Keep an EYE

What is the expected number of times a fair die must be thrown until all scores appear at least once?

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020205) MATHS QUESTION Keep an EYE

Two players take turns choosing one number at a time (without replacement) from the set {−4, −3, −2, −1, 0, 1, 2, 3, 4}. The first player to obtain three numbers (out of three, four, or five) which sum to 0 wins.Does either player have a forced win?

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020204) MATHS QUESTION Keep an EYE

Find the area of the largest semicircle that can be inscribed in the unit square.

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020203) MATHS QUESTION Keep an EYE

Let a, b, and n be positive integers, with a not equal to b. Show that n divides an − bn implies n divides (an − bn)/(a − b).

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020202) MATHS QUESTION Keep an EYE

Let a, b, n, and m be positive integers, with n > 1. Show that an + bn = 2m implies a = b.

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020201) MATHS QUESTION Keep an EYE

The smallest distance between any two of six towns is m miles. The largest distance between any two of the towns is M miles. Show that M/m greater than or equal to root 3. Assume the land is flat.

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020200) MATHS QUESTION Keep an EYE

Find all positive real numbers x such that both root x + 1/root x and cube root of x + 1/cube root of x are integers.

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40020198) MATHS QUESTION Keep an EYE

The minute hand of a clock is twice as long as the hour hand. At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate?

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (1) Submit Your Solution

(#M40020197) MATHS QUESTION Keep an EYE

If the equation x4 − x3 + x + 1 = 0 has roots a, b, c, d, show that 1/a + 1/b is a root of x6 + 3x5 + 3x4 + x3 − 5x2 − 5x − 2 = 0.

Asked In maths AISHWARYA (12 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution