Let A={1,2,3} and a relation R={(1,1),(2,2),(3,3),(1,2),(2,1)}. Which is false about R?
The current age of 'Aman' is 16 years greater than that of 'Bhanu'. In four years, the ratio of their ages will be 5:3. What is t...
A group of 6 men and 5 women can finish a certain task in 8 days, while another group of 3 men and 15 women can complete the same task in 6 days. Now, 4...
If log₃(x + 1) − log₃(x − 1) = 2, find x.
Let a plane pass through the point (1, –1, 2) and is perpendicular to the vector 2i + j − 2k. Then its Cartesian equation is:
There are 15 numbers such that average of first 12 numbers is 45 while the average of last five numbers is 56. Find the 12th number, if the ratio betwee...
A 60-liter solution contains 30% alcohol. How much pure alcohol must be added to make the solution 50% alcohol?
A businessman bought goods for Rs 1050 and sold them on the same day for Rs 1228.5 on credit for 10 months, thus earning a profit of 4%. Find the rate o...
Find the simpliied value of the following expression:
12 × [15 of 8 - 6 of (32 - 8 of 3)]Â