Aptitude and Reasoning Questions

If a - b = -1 and ab = 6, then what is the value of a3- b3?

Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?

In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

In each questions given below three statements are followed by two conclusions numbered I and II. You have to take the three given statements to be true
even if they seem to be at variance with the commonly known facts. Read the conclusions and decide which conclusion logically follows from the three given statement disregarding commonly known facts. Give answer

Statements:
Some books are papers.
No paper is magazine.
All magazines are pens.
Conclusions:
I. Some books are not magazines.
II. Some books are magazines.

Naveen purchased a gas cylinder and a stove for Rs.4500. He sold the gas cylinder at a gain of 25% and the stove at a loss of 20%, still gaining 4% on the whole. Find the cost of the gas cylinder.

30 men can do a piece of work in 16 days working 8 hrs a day. How many men are needed to complete another work, which is twice the first one, in 10 days working 12 hrs a day?

The following are the steps involved in solving the above problem. Arrange them in sequential order.

In a certain coding language, 'Ginger is a root' is written as 4123, 'A tree has a root' is 75422 and 'Tree is green' is 385. Which digit represents 'root'?