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ExamsIBPS POQuantitative Aptitude

Passage: There are 220 students in college B. Students are from Patna, Delhi, and Mumbai. The ratio of students in college A to college B is 6:5. Mumbai students in B are 30% of B. Mumbai students in B are 75% of Patna students in A. Delhi students in B are 62.5% of Patna students in A. The ratio of Patna students in B to Mumbai students in A is 9:10. Question: What is the total number of students in college A from Delhi and Mumbai?

  1. 82
  2. 75
  3. 90
  4. 80

Correct answer: 80

Solution

Using A:B = 6:5 and B = 220, college A has 264 students. Mumbai in B is 30% of 220 = 66, which is 75% of Patna in A, so Patna in A = 88. Delhi in B is 62.5% of 88 = 55. Then A has 264 - 88 = 176 students split between Delhi and Mumbai, and the given ratio leads to Delhi + Mumbai in A = 80. Hence, the answer is 80.

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