Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ∠ABC = ∠ACB = 75°.

What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

2sin[(C+D)/2].sin[(D­-C)/2] is equal to

What is the value of equation a3+b3+c3-3abc if a2+b2+c2=ab+bc+ca+4 and a+b+c = 4.

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.

A, B and C can work together for Rs. 550/- A and B together are to do 7/11 of the work. The share of C should be?

How many natural numbers between 15 and 85 are divisible by 7?

A flask has two holes. The 1st hole alone makes the flask empty in 9 minutes and 2nd hole alone makes the flask empty in 16 minutes. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the flask?