If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q, is `r^(2)t^(4)s^(2)`, then the

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

If p and q are two prime numbers, then what is their LCM?

Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)

If p,q,r,s,t are numbers such that p+q lt r+s q+r lt s+t r+s lt t+p s+t lt p+q thn the largest and smallest numbers are

If two positive integers a and b are expressible in the form a=p q^2 and b=p^3q ; p ,\ q being prime numbers, then LCM (a ,\ b) is (a) p q (b) p^3q^3 (c) p^3q^2 (d) p^2q^2

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

In Figure, P Q R is a triangle and S is any point in its interior, show that SQ+SR < PQ+PR. Given : S is any point in the interior of P Q R To Prove : S Q+S R < P Q+P R Construction: Produce Q S to meet P R in T

If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentricities of a parabola and a rectangular hyperbola, where f(x)=p x^3+q x^2+r x+s ,then p+q+r+s= a. p b. -p c. 2p d. 0

Given three statements P: 5 is a prime number, Q : 7 is a factor of 192, R : The LCM of 5 & 7 is 35 Then which of the following statements are true (a) Pvv(~Q^^R) (b) ~P^^(~Q^^R) (c) (PvvQ)^^~R (d) ~P^^(~Q^^R)