If E = 5, GUN = 42 and ROSE = 57, then what is the value of GATE?

Directions: Read the instructions carefully and answer the question below:

Seven persons T, U, V, W, X, Y and Z are sitting in a row some of them are facing towards north direction some of them are facing towards south direction. Only one person sits between Z and T, who doesn’t sit at any corner. Number of persons to the right of V is same as number of persons to the right of U. W is not an immediate neighbor of V and T. X sits second to the left of the one who sits immediate left of T, who faces south direction. Only two persons sit to the left of Z, who faces in north direction. V is not a neighbor of T and sits second to the left of X. Neighbors of U faces in opposite directions. Person sitting at extreme ends faces the same direction.

Who sits third to the left of U?

Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete?
 WUT, RPO, MKJ, HFE, ?

A family has 6 members P, Q, R , S , T and U. Q is the son of R, but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the sister of Q.

Who is the son of P ?

Select the number that will replace the question mark (?) in the given number series.
 146, 90, 56, 34, 22, ?

Find the number of triangles?

Study the following information carefully and answer the questions given below:

Twelve people are sitting in two parallel rows containing six people in such a way that there is an equal distance between adjacent persons. In Row I- A, B, Z, D, E and M are seated and all of them are facing north. In row II- P, K, R, S, T and G are seated and all of them are facing south. Therefore, in the given seating arrangement each member seated in a row faces opposite of another member of the other row. G sits third to the right of S. G sits opposite to M. D sits third to the right of Z. R sits opposite to Z. The one who is facing E sits third to the right of P. B and E do not sit at the extreme ends of the line. T is not an immediate neighbour of G and A is not an immediate neighbour of B. K does not face D.

Who amongst the following sits opposite to S? 

Directions: In each of the following questions which of the answer figures is exactly the mirror image of the given figure when the mirror is held at AB?

Question figure.