Quantitative Aptitude - Arithmetic Ability Questions

A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

Josna takes 4 hrs 30 min in walking a distance and riding back to some place where she started. She could walk both ways in 5 hrs 40 min. The time taken by her to ride back both ways is

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

If the number 247_679 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?

In the following question, select the odd letter/letters from the given alternatives.