Question
Two numbers are less than a third number by 25% and 31%
respectively. Find the percent by which the second number is less than the first.Solution
Let the third number be 100. Then, first number will be = 100 – 25 = 75 And the second number will be = 100 – 31 = 69 Required % = [(75 – 69)/75] × 100 = 8%
If the sum of the coefficients in the expansion of (a + b)n is 16384, then the greatest coefficient in the expansion is

The perimeter of a rectangular field is 34 metres and its area is 60 m2 . What is the length of the diagonal of this field?
If the sum of the coefficients of all even powers of x in the product (1 + x + x2 + … + x2n) (1 – x + x2 – x...
A certain number of books were distributed equally among a group of students in a class. Each student received a number of books equal to one-fifth of t...

Find the coefficient of x⁴ in (2x – 3/x)⁶.

Find both the maximum value and the minimum value respectively of 3a4 minus; 8a3 + 12a2 minus; 48a + 25 on the interval...