Quantitative Aptitude - Arithmetic Ability Questions

An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft 9 3/4 inches. Then the number of Indians in the army is ?

In a class of 60 students there are 33 girls. The average weight of these girls is 62 Kg and average weight of the full class is 66.5 kg. What is the average weight of the boys of the class?

What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

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

24.97% of 84.01 ÷ 6.995 = ?

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

What is the value of [(cos32θ + 3 cos 2θ)÷(cos6θ – sin6θ)]?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?