Quantitative Aptitude - Arithmetic Ability Questions

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years. What are present ages (in years) of A and B
respectively?

What is the value of [1 – sin (90 – 2A)] / [1 + sin (90 + 2A)]?

A fan is sold at a discount of 37.5%. If the marked price of the fan is Rs 7200, then what is the selling price (in Rs) of the fan?

Choose the one which is odd from the following options.

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

∆LMN is right angled at M. If m ∠N = 45°. What is the length (in cm) of MN, if NL = 6√2 cm?

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.