P can do \(\tfrac{1}{2}\) of a work in 10 days and Q can do \(\tfrac{1}{5}\) of the same work in 4 days. In how many days can both finish the work, working together?
If the cost of 10 books is ₹250, then find the cost of 15 books.
A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2cm x 3cm x 4cm. Find the positive difference between the volume of the cube and that of the cuboid .
Arun bought an old computer and spent ₹110 on its repairs. He then sold it to Bhola at a profit of 20%. Bhola sold it to Chandan at a loss of 10%. Chandan finally sold it for ₹1,188 at a profit of 10%. How much did Arun buy the computer for?
A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.
Simplify the following expression.
\(25 - (4 \div 2) + 11.5 + 9.5\)
The following bar graph shows the number of students who like four different colours.
Find the difference between the number of students who like yellow and those who liked blue .
Find the LCM of the fractions \(\tfrac{2}{5},\ \tfrac{3}{7},\ \text{and}\ \tfrac{4}{9}\)