Quantitative Aptitude - Arithmetic Ability Questions

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

A shopkeeper marks up his wares by 60% and offers 10% discount. What will be the selling price (in Rs) if the cost price is Rs 7500?

In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?

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.

Select the odd number from the given alternatives.

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