Question
For two numbers, the square of their sum is 1024 and the
sum of their squares is 640. What is the product of the numbers?Solution
Let the two numbers be 'a' and 'b' ATQ: (a + b)² = 1024 So, a² + b² + 2ab = 1024 Also, we have, a² + b² = 640 So, 2ab = 1024 - 640 = 384 So, ab = (384 ÷ 2) = 192
Arvind spends 30% of his salary on travelling and 25 % on car fuel. If he spends 10% of his remaining salary on food and saves the rest, then What will ...
A scored 38% marks and failed by 40 marks whereas B scored 68% marks, which was 50 more than the passing marks of the examination. Find the total marks ...
The number of employees in a company increases by 8% each year. If the total employees after 2 years will be 2,916, find the present number of employees.
A gave 40% of amount to B. B gave 60% of amount received from A to C. If amount received by C from B is Rs.288, then find the amount received by B from A.
- A batch of 480 students consists of 50% male students. Among them, 60% of boys and 70% of girls like science. Calculate the number of students who do not l...
The weight of A is 30% more than B, and the weight of C is 100 more than the difference of the weights of A and B. If C weighs 190, then find A’s weig...
Income of Vipin is Rs.36000 and he saves 60% of his income. The expenditure of Sahil is Rs.2600 more than that of Vipin and he saves 66% of his income. ...
The incomes of Ajay and Pawan are in the ratio of 5:3. Ajay allocates 20% of his income to food, spends 25% of the remaining amount on education, and sa...
If 40% of 'p' is equal to 'q', then what percentage of 40 is equal to 'p'?
In a company, the ratio of engineers to administrators is 4:1. 15% of engineers and 20% of administrators are involved in a project, and 25% of the rema...
Relevant for Exams:
