Exams

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

Which of the answer figures best represents the relation between:
Shirt, Garments, Clothes

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

In the following items, each passage consists of six sentences. The first and the sixth sentence are given in the beginning as S1 and S6. The middle four sentences in each have been removed and jumbled up. These are labeled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1 :There is no doubt that the rules governing imports, manufacture and the use of pesticides need to be further tightened up.
S6:At the same time, better pollution control measures are needed to check the discharge of poisonous gases and chemicals by a host of other industries which are equally responsible for poisoning our world.
P:But a more practical and feasible approach is required to tackle this problem.
Q:No one can deny the importance of pesticides in our agriculture.
R:The proposed amendment is an attempt at doing this, but in the process it seems to have gone overboard in most cases.
S:Even today, nearly a fourth of our crop is lost due to pests and weeds.

The proper sequence should be 

A man is facing east. He turns 60 degrees in the anticlockwise direction and then again turns another 120 degrees in the same direction. Which direction is he facing now?

____________ is a cold desert lying in the Great Himalayas.

The force of friction between two surfaces will increase if:

Read each sentence to find out whether there is any error in any underlined part and indicate your response in the Answer Sheet against the corresponding letter i.e., (a) or (b) or (c). If you find no error, your response should be indicated as (d).