`P\ a n d\ Q` are two positive integers such that `P Q\ =\ 64` . Which of the following cannot be the value of `P\ +\ Q` ? 16 (b) 20 (c) 35 (c) 65

p and q are two integers such that p is the successor of q. Find the value of p - q.

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: B C=P Q (b) A C=P R (c) A B=P Q (D) Q R=B C

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: (a) B C=P Q (b) A C=P R (c) A B=P Q (d) Q R=B C

If m , n , o, p a n d q are integers, then m (n +o) (p-q) must be even when which of the following is even? m (b) p (c) m + n (d) n + p

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

p : if two integers a and b are such that a gt b then a - b is always a positive integer. q : If two integers a and b are such that a - b is always a positive integer, then a gt b Which of the following is true regarding statements p and q?

Let , a , b ,c ,d , p ,q ,r be positive real number such that a ,b , c are in G.P and a^(p)=b^(q)=c^(r) Then-

In Fig.100, A B || C D\ a n d\ E F is a transversal intersecting AB and CD at P and Q respectively. The measure of /_D Q P is (a) 65 (b) 25 (c) 115 (d) 105

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that D P = B Q . Show that: (i) DeltaA P D~= DeltaC Q B (ii) A P = C Q (iii) DeltaA B C (iv) A Q = C P (v) APCQ is a parallelogram.