Aptitude and Reasoning Questions

If x2 + ax + b, when divided by x - 4, leaves a remainder of 32 and x2 + bx +a, when divided by x - 4, leaves a remainder of 35, then a + b = ?

If 3x + 2 ≥ x - ­1 and 2x -­ 4 ≤ 2 - ­x/3; then x can take which of the following values?

In the following question, select the missing number from the given options?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) Some men are educated.
(II) Educated persons prefer small families.

Conclusion:
(I) All families are educated.
(II) Some men prefer small families.

Find out the odd word/letters/number/number pair from the given alternatives.

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement 1 : Some clever are intelligent.
Statement 2 : No intelligent is Smart.

Conclusion I : Some intelligent are clever.
Conclusion II : Some smart are clever.

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

Number of circles that can be drawn through three non-colinear points is