Quantitative Aptitude - Arithmetic Ability Questions

ΔABC is an isosceles right angled triangle having ∠C = 90°. If D is any point on AB, then AD2+ BD2 is equal to

The area of a rhombus having one side 10 cm and one diagonal 12 cm is

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

If Gadadhar's salary is 3/2 times of Haamid's and Sarvesh's is 4/3 times of Haamid's, what is the ratio of Gadadhar's salary to Sarvesh's?

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?