In triangle `A B C ,` if `sinAcosB=1/4` and `3t a n A=t a n B ,t h e ncot^2A` is equal to (a)2 (b) 3 (c) 4 (d) 5.

If a : b=3:4, b : c4:7, t h e n(a+b+c)/c is equal to 1 b. 2 c. 3 d. 7

If 2^n=4096 , t h e n\ 2^(n-5) = (a)128 (b) 64 (c)256 (d) 32

If 2^n=1024 , t h e n\ 2^(n/2+2) = (a)64 (b) 128 (c)256 (d) 512

If A=[(5a, -b),(3,2)] and A adj A=A A^T, then 5a+b is equal to: (A) -1 (B) 5 (C) 4 (D) 13

In a triangle A B C , if a : b : c=3:7:8,t h e n R : r is equal to a. 2:7 b. 7:2 c. 3:7 d. 7:3

Let C be incircle of A B Cdot If the tangents of lengths t_1,t_2a n dt_3 are drawn inside the given triangle parallel to sidese a , ba n dc , respectively, the (t_1)/a+(t_2)/b+(t_3)/c is equal to 0 (b) 1 (c) 2 (d) 3

If A : B=2:3, B : C=2:4 a n d C : D=2:5, t h e n A : D is equal to 1:5 b. 2:15 c. 4:5 d. 5:2

If x=1/3y a n d y=1/2, t h e n x : y : z is equal to 1:2:6 b. 1:3:6 c. 2:4:6 d. 3:2:1

If a :(b+c)=1:3 a n d c :(a+b)=5:7, t h e b :(a+c) is equal to 1:2 b. 1:3 c. 2:3 d. 2:1

If A : B=1/2:1/3n a d B : C=1/2:1/3, t h e n A : B : C is equal to 1:2:6 b. 3:2:6 c. 2:3:3 d. 9:6:4