Quantitative Aptitude - Arithmetic Ability Questions

If 3cos2x - 2sin2x = -0.75 and 0°⩽ x ⩽ 90°, then x = ?

On selling 120 bottles, Vijay earns profit equal to the cost price of 10 bottles. What is the profit percentage?

ΔABC is right angled at B. BD is an altitude. AD = 3 cm and DC = 9 cm. What is the value of AB (in cm)?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

Pihu and Aayu are running on a circular track of diameter 28m. Speed of Pihu is 48 m/s and that of Aayu is 40 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?

A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 p.m. on the same day. If the speed of the train is 15 m/s, then what will be the distance (in km) covered by the train?

The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use π = 22/7)

What is the area of the square, if the length of its diagonal is 13√2 units?