Quantitative Aptitude - Arithmetic Ability Questions

If tan 45° + cosec 30° = x, then find the value of x.

If one more cobbler is hired the output of a shoe making unit will increase from 50 pairs of shoes to 55 pairs per day, but then the shoe making unit will have to reduce the price of a pair of shoes from Rs 3200 to Rs 3000 per pair to sell the additional output, the marginal revenue product of the last cobbler is

If x + y = 12 and xy = 32, then what is the value of  x2 + y2 ?

40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 cub.m, then what will be the rise (in cm) in level of the pool?

The cross section of a canal is in the shape of an isosceles trapezium which is 4 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 120 m long, what is the maximum capacity of this canal?

A train, 200 m long, is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 m long bridge is

If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

What approximate value should come at the place of question mark (?) in the following questions (You are not expected to calculate the exact value).

(111.93 × 5) ÷ 14.02 = 11.002 + ?