Q3.If x > -1 , then the statement (1+x)n>1+nx is true for
Answer : Option DExplaination / Solution: For example , if x = 0 and n > 1 , say n = 2 then the given inequality will become 12 > 1 , which is not true. Hence both the conditions on x and n are needed.
Q9.The greatest positive integer, which divides (n+1)(n+2)(n+3)..................(n+r)∀n∈W, is
Answer : Option DExplaination / Solution: If n = 0 the given expression becomes 18.104.22.168........r = r! Also when n = 1 one more extra term will be there in the product 2.3.4........(r+1)which is also divisible by r!.