The number of factors (excluding 1 and the expression itself) of the product of `a^(7)b^(4)c^(3)` def, where a, b, c, d, e, fare all prime numbers, is

If a,b,c,d,e are five positive numbers, then

The point P(a,b), Q(c,d), R(a,d) and S(c,b) , where a,b,c ,d are distinct real numbers, are

A number is said to be a nice number if it has exactly 4 factors (includng 1 and the number itself). Then number of divisor of 2520 which are nice numbers is (A) 7 (B) 8 (C) 9 (D) none of these

The number of distinct terms in (a + b+ c + d + e)^3 is

Write the greatest 4-digit number and express it in terms of its prime factors.

Number of ways to express 1200 as a product of two co-prime factors is (a) 1 (b) 2 (c) 4 (d) 8

If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(2)+2) can be expressed as [ (a)/(b),(c )/(d)] where a,b,c and d are prime numbers (not nacessarily distinct) then find the value of ((a+b+c+d))/(2).

State whether the following statements are True or False:(a) The sum of three odd numbers is even.(b) The sum of two odd numbers and one even number is even.(c) The product of three odd numbers is odd.(d) If an even number is divided by 2, the quotient is always odd.(e) All prime numbers are odd.(f) Prime numbers do not have any factors.(g) Sum of two prime numbers is always even.(h) 2 is the only even prime number.(i) All even numbers are composite numbers.(j) The product of two even numbers is always even

The number of positive integer solutions of a+b+c=60, where a is a factor of b and c, is

The number of factors of 1080 is (a) 32 (b) 28 (c) 24 (d) 36