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: 8
Explanation M1 × D1 = M2 × D2 16 × 20 = M2 × 40 M2 = (16 × 20)/40 M2 = 8
اگر 6 آدمیوں کی 15 دن کی اجرت 2100 ہے تو 9 آدمیوں کی 12 دن کی اجرت معلوم کریں؟
Answer: 2520
Explanation Given: The wages of 6 men for 15 days be Rs. 2100 Calculation: As the wages of 6 men for 15 days be Rs. 2100 The wages of 1 man for 15 days = Rs. 2100/6 = Rs. 350 And, the wages of 1 man for 1 day = Rs.350/15 Now, the wages of 9 men for 12 days = (Rs.350/15) × 9 × 12 = Rs.2520 ∴ The wages of 9 men for 12 days is Rs.2520 .
Answer: 30
Explanation Let the required number of men be x . Number of men 15 x Number of days 12 6 As number of men [M] will increase, the number of days [D] to finish a work will be less. Hence, it is a case of inverse proportion. ⇒ M D = c o n s t a n t ⇒ M 1 D 1 = M 2 D 2 [1 mark] ⇒ 15 × 12 = x × 6 ⇒ x = 15 × 12 6 = 30 Therefore, the required number of men to finish the work in 30 days is 30 men.
Answer: 8: 12: 9
Explanation
Answer: 4 : 3
Explanation ⇒ Number of girls = 20 ⇒ Number of boys = 15 The ratio of girls to boys: ⇒ Girls: Boys = 20:15 ⇒ Girls: Boys = 20 ÷ 5: 15 ÷ 5 ⇒ Girls: Boys = 4:3
Answer: 200:100
Explanation Total parts = 2 + 1 = 3 Value of 1 part = 300 ÷ 3 = 100 A’s share = 2 parts = 2 × 100 = 200 B’s share = 1 part = 1 × 100 = 100 200 : 100
Answer: 8
Explanation Given CF = 24 and the centroid G divides CF in a 2:1 ratio, with the longer part toward the vertex C and the shorter part toward the midpoint F of side AB. The total length CF is divided into 3 parts, where 2 parts are toward the vertex (CG) and 1 part is toward the midpoint (FG). FG = (1/3) × CF = (1/3) × 24 = 8 .
Answer: 32 : 36 : 54
Explanation We are given: Ratio of a : b = 8 : 9 Ratio of b : c = 4 : 6 Step 1: Make the b values equal in both ratios. LCM of 9 and 4 = 36 Convert both ratios so that b = 36: From a : b = 8 : 9, multiply both terms by 4 → a : b = 32 : 36 From b : c = 4 : 6, multiply both terms by 9 → b : c = 36 : 54 Step 2: Combine into a : b : c → a : b : c = 32 : 36 : 54
Answer: 32
Explanation Total age = 20 × 3 = 60 years Ratio = 2:5:8 Sum of ratios = 2+5+8 = 15 Oldest student's age = (8/15) × 60 = 32 years
Answer: 24
Explanation Work done by 40 men in 40 days = 1/3 of total work Total work = 3 × (40 × 40) = 4800 man-days Remaining work = 2/3 of total work = 3200 man-days Time left = 50 days Men required = 3200 ÷ 50 = 64 men Additional men needed = 64 − 40 = 24 men Therefore, 24 more men are required.
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