Question
A rectangle has a perimeter of 160 cm. Its breadth is 40%
less than its length. Calculate the area (in cm²) of a square whose side is 20 cm shorter than the length of the rectangle.Solution
ATQ,
Let the length of the rectangle be '5y' cm
Breadth of the rectangle = (3/5) × 5y = '3y' cm
So, 2 × (5y + 3y) = 160
Or, 8y = 80
Or, 'y' = 10
Length of rectangle = 5 × 10 = 50 cm
Side of the square = 50 - 20 = 30 cm
Therefore, area of the square = (side)² = 30² = 900 cm²
A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?
A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for (p + q) is
Which of the following numbers is divisible by 11?
Find the remainder obtained by dividing 961125 by 37.
A number gives a remainder of 27 when divided by 36. What will be the remainder when the same number is divided by 12?
. Which of the following numbers is divisible by 24?
A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:
Find the smallest number that, when divided by 6, 8, and 12, leaves a remainder of 5 in each case.
What is the smallest perfect square that is divisible by each of 42, 48 and 60?
If the 6-digit number 589y72 is completely divisible by 8, then the smallest integer in place of y will be:
Relevant for Exams:
