Mathematics Tes...

The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.

In the next World cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. Four top teams of this round will qualify for the semifinal round, where they play the best of three matches. The Minimum number of matches in the next World cup will be:

If α + β = 90°, then the value of (1 - sin²α)(1 - cos²α) × (1 - cot²β)(1 - tan²β) is?

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:

If log₁₀7 = a, then log₁₀ (1/70) is equal to