Subject: Maths, asked on 13/5/12

## Prove that root 3 + root 5 is irrational

Subject: Maths, asked on 25/3/11

## what are co-prime numbers??

Subject: Maths, asked on 14/4/14

## prove that root 2+ root 3 is an irrational number

Subject: Maths, asked on 8/9/13

## show that one and only one out of n, n+2, n+4 is divisible by 3

Subject: Maths, asked on 11/4/15

## For any positive integer n prove that n3-n is divisible by 6

Subject: Maths, asked on 18/5/13

## a)Find the H.C.F. of the smallest composite number and the smallest prime number.b) . If a = 4q + r then what are the conditions for a and q. What are the values that r can take?

Subject: Maths, asked on 4/4/12

## prove that product of 3 consecutive positive integers is always divisible by 6

Subject: Maths, asked on 22/11/14

## If you are a Brilliant  what is the formula for a4+b4

Subject: Maths, asked on 10/6/13

## Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is someinteger.Q. Show that the square of an odd positive integer can be of the form 6q+1 or 6q+3for some integer q.Q. Prove that the square of any positive integer is of the form 3m or 3m+1.Q. For any positive integers n, prove that n3-n is divisible by 6.Q. Show that one and only out of n,n+4,n+8,n+12 and n+16 is divisible by 5,where n is any positive integer.Q. Write the prime factors of 546.

Subject: Maths, asked on 12/7/14

## express 0.3178 in p/q form, 178 is repeating manner.

Subject: Maths, asked on 22/7/13

## The HCF of 65 and 117 is expressible in the form 65m-117.Find the value of m. Also find the LCM of 65 and 117 using prime factorisation method.

Subject: Maths, asked on 7/5/14

## if alpha beta and gamma are the zeroes of polynomial 6x3+3x2-5x+1 then find the value of alpha raised to -1+beta raised to -1+gamma raised to -1

Subject: Maths, asked on 12/5/12

## A circular field has a circumference of 360km. Three cyclist start together and can cycle 48,60 and 72km a day,round the field. When will they meet again ?

Subject: Maths, asked on 6/6/13

## find the least number that is divisible by all numbers between 1 and 10(both inclusive)

Subject: Maths, asked on 5/9/12

## show that any positive odd integer is of the form 6q+1,6q+3 or 6q+5, where q is some integer. explain the solution

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