Subject: Mathematics
Book: Maths Mastery
Proportions equate two ratios, like a/b = c/d. Cross-multiplication states ad = bc. For example, if 2/5 = x/15, then 2 × 15 = 5 × x, meaning 30 = 5x, so x = 6. Proportions answer real-world questions: “If 2 liters costs ₹100, what does 5 liters cost?” or “If 3 out of 10 students prefer a subject, how many out of 50 might prefer it?” The technique is vital for scaling recipes, resizing images, or solving geometry similarity. Consistent practice ensures you can set up and solve ratio-based statements in a single, efficient step.
The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionWhat is the sum of the first 10 positive even numbers?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionIf 2x = 16, what is the value of x?
View QuestionWhat is the cube of 4?
View QuestionIf the perimeter of a square is 36 cm, what is the length of its diagonal?
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