Quantitative Aptitude - Arithmetic Ability Questions

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

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

Which of the following numbers is a perfect square?

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?