Multiple choice

Of the three numbers, the ratio of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third number is 3456, then the second number is तीन संख्याओं में से पहली और दूसरी संख्या में अनुपात 8 : 9 है और दूसरी तथा तीसरी संख्या में अनुपात 3 : 4 है | यदि पहली और तीसरी संख्या का गुणनफल 3456 है, तो दूसरी संख्या है

  1. 45

  2. 54

  3. 55

  4. 60

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let numbers be a, b, c. Given a:b = 8:9 and b:c = 3:4. To combine ratios, make b terms equal: a:b = 8:9 = 24:27 and b:c = 3:4 = 27:36. So a:b:c = 24:27:36 = 8:9:12. Let a = 8k, b = 9k, c = 12k. Given a × c = 3456, so (8k)(12k) = 96k² = 3456, giving k² = 36, k = 6. Therefore b = 9k = 54. Option B is correct.