251. If (x + 5) : (x + 7) = 5 : 7, then the value of x is?
- A. 2
- B. None of these
- C. 1
- D. 0
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: 5:4
Explanation The ratio of Ali's amount to Asim's amount is: Ratio = 20 16 = 5 4 text{Ratio} = frac{20}{16} = frac{5}{4} So, the correct ratio is 5:4 .
Answer: 18
Explanation 7 parts = 14 km → 1 part = 2 km 9 parts = 9 × 2 = 18 km So second distance = 18 km Last verified on 12-05-2026
Answer: 3
Explanation = 18 × 1/6 = 3
Answer: 20000
Explanation The profit-sharing ratio between Hyder and Ahsan is 3:5. The total parts are 3 + 5 = 8. Ahsan's share is 5/8 of the total profit. Given the total profit is 32,000: Ahsan's share = (5/8) × 32,000 = 5 × 4000 = 20,000
Answer: 18
Explanation This is an arithmetic sequence since there is a common difference between each term . In this case, adding 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> 4 4 to the previous term in the sequence gives the next term . In other words, a n = a 1 + d ( n - 1 ) " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a n = a 1 + d ( n − 1 ) � � = � 1 + � ( � - 1 ) . Arithmetic Sequence : d = 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> d = 4 � = 4 This is the formula of an arithmetic sequence . a n = a 1 + d ( n - 1 ) " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a n = a 1 + d ( n − 1 ) � � = � 1 + � ( � - 1 ) Substitute in the values of a 1 = 6 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a 1 = 6 � 1 = 6 and d = 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> d = 4 � = 4 . a n = 6 + 4 ( n - 1 ) " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a n = 6 + 4 ( n − 1 ) � � = 6 + 4 ( � - 1 ) Simplify each term . Tap for more steps... a n = 6 + 4 n - 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a n = 6 + 4 n − 4 � � = 6 + 4 � - 4 Subtract 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> 4 4 from 6 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> 6 6 . a n = 4 n + 2 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> a n = 4 n + 2
Answer: 56
Explanation Let's solve this: Work = Force × Time (or Workers × Days) 28 workers × 26 days = x workers × 13 days x = (28 × 26) / 13 x = 56 workers
Answer: x: y:: y: z
Explanation If x, y, and z are in proportion , then the c orrect option will be x: y:: y: z. Step-by-step explanation: A proportion is an equation in which t wo ratios are set equal to each other. If 3 numbers are in proportion to each other then their ratios should be equal to one another. ND12_8_2023
Answer: 40000
Explanation Total parts = 6+7+8 = 21 Max share = (8/21) × 105000 = 40000 Last verified on 13-03-2026
Answer: 8
Explanation 4 workers finish in 6 days 1 worker will finish in 4 × 6 = 24 days 3 workers will finish in 24/3 = 8 days
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