Aptitude and Reasoning Questions

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

If tanθ = 724 then find the value of p such that tanθ - secθsinθ = -p28

The point R(a,b) is first reflected in origin to R1 and R1 is reflected in x­axis to (­-4,2). The co-­ordinates of point R are

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

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 bags are hot.
(II) All hot things are cakes.

Conclusion:
(I) All cakes are bags.
(II) All bags are cakes.

Select 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.

Length of the sides of a triangle are a, b, c respectively. If a2 + b2 + c2 = ab +bc + ca then the triangle is