Exams

What is the simplified value of sec6 A – tan6 A – 3 sec2 A tan2 A?

Raj sells a machine for Rs 51 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 8 times the earlier loss. What is the cost price of the machine?

Each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The middle four sentences in each have been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1 :The weak have no place here, in this life or in any other life. Weakness leads to slavery.
S6 :This is the great fact : strength is life, weakness is death. Strength is felicity, life eternal, immortal; weakness is constant strain and misery : weakness is death.
P :They dare not approach us, they have no power to get a hold on us, until the mind is weakened.
Q : Weakness leads to all kinds of misery, physical and mental. Weakness is death.
R : But they cannot harm us unless we become weak, until the body is ready and predisposed to receive them.
S :There are hundreds of thousands of microbes surrounding us.The correct sequence should be

A driver left his village and drove North for 20 km after which he stopped for breakfast. Then he turned left and drove another 30 km, when he stopped for lunch. After some rest, he again turned left and drove 20 km before stopping for evening tea. Once more he turned left and drove 30 km to reach the town where he had supper. After evening tea, in which direction did he drive?

Profit of Rs 728000 has to be divided among three partners Amir, Balaraj and Charan in the ratio 7:5:4. How much share (in Rs) does Charan get?

The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 :3, then what is the second number?

If a + b = 9 and a2+ b2= 61, then ab is

PET is a very familiar form of _____________. It is used for making bottles.