The value of (sin 44)^2 - (tan 60)^2 + (sin 46)^2 is:
Which of the following numbers has the most divisors?
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
The length of a rectangle is 11 cm more than the breadth, and the perimeter is 6 times its breadth. Find the length of the rectangle.
The sum of the squares of three numbers is 142, and the sum of the products of the numbers taken two at a time is 129. Find the sum of the three numbers.
Eight boys A, B, C, D, E, F, G, and H have to be seated on 8 chairs. Find the probability that A and B always sit at the ends (up to 4 decimal places).
The sum of 3 numbers in AP is 21 and the product of the first and third numbers of the sequence is 45. What are the 3 numbers?
In a pack of 52 playing cards, there are 4 cards of each face value (Ace to King). If these 52 cards are to be distributed equally among 4 friends, in how many ways can this distribution be done?
A and B start simultaneously from a certain point, traveling in north and south directions on motorcycles. The speed of A is 80 km/hr and the speed of B is 65 km/hr. What is the distance between A and B after 12 minutes?
A boat travels for 25 hours in total, first travelling downstream from point A to point B, and then coming back to point C, where point C is near A and separates AB into three parts. The velocity of the stream is 5 km/h and the speed of the boat in still water is 10 km/h. What is the distance between A and C?