There are _____ rational number(s) between two rational numbers:
Find the coordinates of the point that divides the line segment between the points (-1, 7) and (4, -3) in the ratio 2:3.
Sudha has 6 different books and 3 copies of each book. Find the number of ways in which one or more than one book can be selected.
The ratio between the present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of their ages after 4 years?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is the height of the tree?
A motorcyclist goes from Bombay to Pune, a distance of 192 km at an average speed of 32 km/h. Another person starts from Bombay by car 2.5 hours after the motorcyclist and reaches Pune 0.5 hour earlier. What is the ratio of the speed of the motorcycle and the car?
Karumanchi Rajesh has borrowed ₹450 from Gowtham at 0% interest. If he pays back 0.5% of the total amount every 7 days, beginning exactly 7 days after the loan was disbursed, and has thus far paid back ₹18, with the most recent payment made today, how many days ago did he borrow the money?
A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then coloured red on the two larger faces and green on the remaining, while the other is coloured green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up.
How many cubes have only one coloured face each ?