Quantitative Aptitude - Arithmetic Ability Questions

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

The ratio of two numbers is 6 : 11 and their difference is 65. What will be the smaller number among both the numbers?

By which least number should 5000 be divided so that it becomes a perfect square?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

An exterior angle of a triangle is 115 deg and one of the interior opposite angle is 45 deg. Then the other two angles are

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

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?