Quantitative Aptitude - Arithmetic Ability Questions

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

The area of a rectangle is 120 sq cm and its perimeter 140 cm. What is the length of its diagonal?

A train is moving at the speed of 72km/hr. How many seconds will it take to cover a distance of 1400 m ?

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

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

What should come in place of question mark (?) in the following question? (You do not have to calculate the exact value.)

(√80.997 - √25.001) × (√120.98 + √16.02) = ?

If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy) ?