Aptitude test 1

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

Statement: These apples are too cheap to be good.

Assumptions:

I. When the apple crop is abundant, the prices go down.
II. The lower the selling price, the inferior is the quality of the commodity.
III. Very cheap apples are also good.

If a - b = 3 and a2 + b2 = 29, find the value of ab.

Statements: No tree is fruit. All fruits are stones. All stones are rains.

Conclusions:

I. No stone is tree.
II. No rain is tree.
III. Some rains are fruits.
IV. Some rains are trees.

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

Here are some words translated from an artificial language.
relftaga means carefree
otaga means careful
fertaga means careless
Which word could mean "aftercare"?

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

What is the volume of a cube?

I. The area of each face of the cube is 64 square metres.

II. The length of one side of the cube is 8 metres.

Statements:

I. The government has decided to make all the information related to primary education available to the general public.
II. In the past, the general public did not have access to all these information related to primary education.

Find the odd man out.
1, 4, 9, 16, 23, 25, 36