Quantitative Aptitude - Arithmetic Ability Questions

Which of the following value of 'x' satisfies the equation 814x+4 = 2432x+8?

Which of the following quadratic equations has equal roots?

If y = √3 - √2, then find the value of 1y3 - y3.

In the following question, select the odd word pair from the given alternatives.

If sinθ x cosθ = 1⁄2 . The value of sinθ ­- cosθ is where 0°< θ< 90°

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

Which of the following is the largest number among 2, 33, 4, 53