Practise Ratio and Proportion MCQs MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.
Study Ratio and Proportion MCQs through multiple-choice questions in Maths. This subtopic contains 287 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.
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Answer: 1 : 1
Explanation Equating the two expressions and simplifying gives: x cdot 200 = y cdot 250 Rightarrow frac{y}{x} = frac{200}{250} = frac{4}{5} Rightarrow y : x = 4 : 5 x ⋅ 200 = y ⋅ 250 ⇒ y /x = 200 / 250 = 4 /5 ⇒ y : x = 4 : 5
Answer: 21
Explanation A firm announces a total of 63 posts. If the ratio of ordinary to officer staff must be kept as 6:3 , how many posts are there for the officers Post= 63 ordinary: Office 6 : 3 Sum of ratio = 6+3 = 9 officer post =3/9*27 = 21 Sh6-8-2023
Answer: 11:9
Explanation Let the two numbers be x x x and y y y , where x > y x > y x > y . We are given: x + y = 40 (1) x - y = 4 quad text{(2)} x − y = 4 (2) Adding equations (1) and (2): 2x=44⟹x=22 Subtracting equation (2) from (1) 2y = 36 implies y = 18 2 y = 36 ⟹ y = 18 The numbers are 22 and 18. The ratio of the numbers is: x /y = 22 /18 = 11/9
Answer: 1:4
Explanation If mango juice is 20% , then apple juice is 80% (since 100% – 20% = 80%). The ratio of mango to apple juice is 20:80 , which simplifies to 1:4 .
Answer: 5:3
Explanation Convert minutes to seconds: 5 minutes = 5 × 60 = 300 seconds Ratio = 300 seconds : 180 seconds = 5:3
Answer: 20 : 15 : 12
Explanation 6(A's Capital) = 8(B's Capital) = 10(C's Capital) We can write this as: A's Capital = x B's Capital = x × (6/8) = 0.75x C's Capital = x × (6/10) = 0.6x Now, we can write the ratio of their capitals as: A's Capital : B's Capital : C's Capital = x : 0.75x : 0.6x Divide each term by x: A's Capital : B's Capital : C's Capital = 1 : 0.75 : 0.6 Multiply each term by 20 (the least common multiple of 1, 0.75, and 0.6) to eliminate decimals: A's Capital : B's Capital : C's Capital = 20 : 15 : 12 So, the ratio of their capitals is: 20 : 15 : 12
Answer: 5:3
Explanation Total workers = 120 Women = 45 Men = 120 − 45 = 75 Now, the ratio of men to women = 75 : 45 Simplify by dividing both by 15: 75 ÷ 15 = 5 45 ÷ 15 = 3 The ratio of men to women is 5:3 .
Answer: 1 : 4
Explanation Step 1: Convert 2 yards to inches. 1 yard = 36 inches → 2 yards = 2 × 36 = 72 inches Step 2: Write the ratio of 18 inches to 72 inches: 18 : 72 Step 3: Simplify by dividing both by 18: 1 : 4
Answer: 25:2
Explanation First, convert both to the same unit (grams): 3.5 kg = 3500 grams 280 grams (already in grams) Ratio = 3500 : 280 Simplifying the ratio: 3500 / 280 = 12.5 280 / 280 = 1 12.5 : 1 = 25 : 2 (after multiplying both parts by 2)
Answer: 22.5 seconds
Explanation 45 minutes is ¾ of 1 hour, so the ratio is ¾. Similarly, ¾ of 30 seconds = 22.5 seconds.
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