Quantitative Aptitude - Arithmetic Ability Questions

ΔDEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).

What is the value of [tan (90 – A) + cot (90 – A)]2/[2 sec2(90 – 2A)]?

If x2+5x+6 = 0, then the value of 2xx2-7x+6 is

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

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Z’s present age is 55 years. If 11 years ago, C’s age was 1/11 of Z’s age, then after how many years C’s age will become 37 years?

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 I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?