Quantitative Aptitude - Arithmetic Ability Questions

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?

What is the value of (2/√3 +tan45° ) ?

If two flood gates A and B function simultaneously, the reservoir will be filled iu 6 hours. Gate A fills the reservoir 5 hours faster than gate B. How many hours does the faster flood gate take to fill the reservoir?

Choose the word is least like the other words in the group

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

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

Find two numbers such that their mean proportion is 16 and third proportion is 1024.

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