The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 students are increased in each class this ratio cha…

If a and b are rational numbers and $$a + b\sqrt 3 $$   $$ = $$ $$\frac{1}{{2 - \sqrt 3 }}{\text{,}}$$ &nb…

Six coins of gold and silver of equal weights are melted and new coins are cast. The ratio of gold and silver in one of …

If x : y = 3 : 4 and a : b = 1 : 2, then the value of $$\frac{{2xa + yb}}{{3yb - 4xa}}$$   is

Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The n…

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What i…

Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the …

Rs. 1087 is divided among A, B and C such that if Rs. 10, Rs. 12 and Rs. 15 are diminished from the shares of A, B and r…