Quantitative Aptitude - Arithmetic Ability Questions

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

If cot 60° + cosec 60° = x, then the value of x is

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

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.

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

When Gopal walks from A to B and returns from B to A on cycle, then it takes him 46 minutes. By walking both ways, it takes him 75 minutes. If he rides cycle both ways then what will be the total time (in minutes)?