Question
The difference between the squares of two positive
numbers is 18 times the difference between the numbers. If the smaller number is 7, then what is the greater number?Solution
Let the two numbers be ‘a’ and ‘b’ Then, according to the question; (a2 – b2) = (a – b) × 18 Also, (a2 – b2) = (a + b) × (a – b) So, (a + b) = 18 Since b = 7 So, a = 18 – 7 = 11
Inside a square land having perimeter equal to 64 metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a...
If the income tax is increased by 14% then net income is reduce by 6%. Find the rate of income tax?
The cost of fencing a rectangular field at the rate of Rs. 3/metre is Rs. 270. If the length of the field is 11 metres more than its breadth, then find ...
Due to economic surge the price of eggs suddenly reduced by 40%. This enabled a woman to buy 64 more for $30. Then the reduced price per dozen is :
The area of a rectangle is 405 cm2 and the ratio of its length and breadth is 5:9 respectively. If the breadth of the rectangle is three times of the si...
The circumference of a circle is 99 cm and the length of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rec...
How many factors does the number 6718464 have?
If cot x – tan x = 3/2, then what will be the value of cot x + tan x?
Perimeter of a square shaped plot is 120 metres and the area of a rectangular plot is 50% more than that of the square shaped plot. Find the area (in m<...
The diameter of the base of the cylindrical drum is 35Dm and the height is 24Dm. It is full of kerosine. how many tins each of size 25cm ×22cm ×35cm c...
Relevant for Exams:
