Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

When a number is increased by 105, it becomes 135% of itself. What is the number?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

If a + b = 10 and ab = 21, then the value of (a - b)2 is

The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?

In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?

Gautam goes to office at a speed of 12 kmph and returns home at 10 kmph.His average speed is

A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at the speed of