Quantitative Aptitude - Arithmetic Ability Questions

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

The mean of marks secured by 60 students in division A of class X is 66, 45 students of division B is 62 and that of 75 students of division C is 60. Find the mean of marks of the students of three divisions of Class X.