Quantitative Aptitude - Arithmetic Ability Questions

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

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) ?

Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

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

In new government policy, the price of onion is raised by 35%. By what % should a person reduce onion consumption so that the expenditure on it does not increase?

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ –1?

The area of a square is 40.5 cm². Find the length of its diagonal (in cm).