For the following questions answer them individually
$$\sqrt{10 + 2\sqrt{6} + 2\sqrt{10} + 2\sqrt{15}} =$$
When a number is divided by divisor, the quotient obtained is one-third of the divisor and the remainder is 50% more than the quotient. If the remainder is 30, then the value of the original number is
The remainder obtained when $$9^{19} + 6$$ is divided by 8 is
What is the smallest number which when increased by 5 is divisible by 3, 6, 9, 15, 20, 24 and 36?
What is the least integer which gives remainder 0 when divided by 2, remainder 4 when divided by 5 and remainder 3 when divided by 7?
The average of four consecutive even integers is 37. Then the product of the first and fourth is
The value of $$5+\frac{1}{6+\frac{1}{8+\frac{1}{2}}}$$ is
The ascending order of the surds $$4\sqrt{13}, 5\sqrt{9}, 6\sqrt{6}, 7\sqrt{5}$$ is
What is the difference between the largest and the smallest of the following rational numbers?
$$\frac{7}{12}, \frac{13}{18}, \frac{19}{36}, \frac{5}{6}$$
In a mixture of 124 litres of milk and water, the water content is 25%. If 31 litres of water is added to the mixture, then the ratio of milk to water in 155 litres of mixture is