Quantitative Aptitude - Arithmetic Ability Questions

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

Reciprocal of 235?

ΔPQR is right angled at Q. If cosP = 5/13, then what is the value of cosecR ?

In the following question, select the odd word pair from the given alternatives.

The upstream speed of the boat is 40 kmph and the speed of the boat in still water is 55 kmph. What is the downstream speed of the boat?

U starts a business by investing Rs 45000 and V join him after one year with an amount of Rs 33000. After two years from the starting of business, they earned profit of Rs 16400. What will be the U’s share (in Rs) in the profit?