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Directions: Read the following information carefully and answer the questions based on it.
There are three schools – P, Q, and R, number of vacancies released by schoolsP, Q, and R for thepost of Math educator are (Z + 3), Y and M respectively. Averagenumber of candidates applied per vacancy in schoolsP, Q, and R is 20, 35, and 42 respectively. Total number of candidates applied in school P is twice that of schoolQ, while total number of candidates applied in schoolR is thrice that of schoolQ. No candidate can apply in more than one school and number of candidates applied in any of the school is not more than 250.
Q. Find average number of candidates applied for the post of Math educators in all three schools together?
  • a)
    160
  • b)
    210
  • c)
    120
  • d)
    140
  • e)
    Can’t be determined
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: Read the following information carefully and answer the q...
Solution:

Given information:
- Number of vacancies in school P, Q, and R for the post of Math educator are (Z 3), Y and M respectively.
- Average number of candidates applied per vacancy in schools P, Q, and R is 20, 35, and 42 respectively.
- Total number of candidates applied in school P is twice that of school Q.
- Total number of candidates applied in school R is thrice that of school Q.
- No candidate can apply in more than one school.
- Number of candidates applied in any of the schools is not more than 250.

Let's solve the problem step by step.

Step 1: Find the number of candidates applied in school Q.
Let the number of vacancies in school Q be Y.
According to the given information, the average number of candidates applied per vacancy in school Q is 35.
So, the total number of candidates applied in school Q = Y * 35.

Step 2: Find the number of candidates applied in school P.
According to the given information, the total number of candidates applied in school P is twice that of school Q.
So, the total number of candidates applied in school P = 2 * (Y * 35) = 70Y.

Step 3: Find the number of candidates applied in school R.
According to the given information, the total number of candidates applied in school R is thrice that of school Q.
So, the total number of candidates applied in school R = 3 * (Y * 35) = 105Y.

Step 4: Find the total number of candidates applied in all three schools.
The total number of candidates applied in all three schools = (Number of candidates applied in school P) + (Number of candidates applied in school Q) + (Number of candidates applied in school R)
= 70Y + Y * 35 + 105Y
= 140Y + 35Y
= 175Y

Step 5: Find the average number of candidates applied for the post of Math educators in all three schools together.
Average number of candidates applied for the post of Math educators in all three schools together = (Total number of candidates applied in all three schools) / (Total number of vacancies in all three schools)
= (175Y) / (Z + 3 + Y + M)

Since the values of Z, Y, and M are not given, we cannot determine the exact value of the average number of candidates applied for the post of Math educators in all three schools together.

Therefore, the correct answer is option e) Can't be determined.
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Community Answer
Directions: Read the following information carefully and answer the q...
Total candidates applied in schoolP = 20 x (Z + 3)
Total candidates applied in schoolQ = 35Y
Total candidates applied in schoolR = 42M
Number of candidates applied in schoolQ× 2 = total candidates applied in school P
20 x (Z + 3)/35Y = 2/1
2Z + 6 = 7Y……………... (1)
Number of candidates applied in schoolR = 3 x number of candidates applied in school Q
35Y/42M = 1/3
Y/M = 2/5
Y and M must be integer.
If Y = 2, then
2Z = 7 x 2 – 6
Z = 4
So, candidates applied in schoolP = 20 x 7 = 140
Candidates applied in schoolQ = 35 x 2 = 70
Candidates applied in schoolR = 5 x 42 = 210
If Y = 4, then Z = 11
So, number of candidates applied inschoolP = 20 x (11 + 3) = 280 (not possible)
So, Y = 2, Z = 4, and M = 5
According to question,
Average number of candidates applied in all three schools together = (140 + 70 + 210)/3 = 140
Hence, answer is option D
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Directions: Read the following information carefully and answer the questions based on it.There are three schools – P, Q, and R, number of vacancies released by schoolsP, Q, and R for thepost of Math educator are (Z + 3), Y and M respectively. Averagenumber of candidates applied per vacancy in schoolsP, Q, and R is 20, 35, and 42 respectively. Total number of candidates applied in school P is twice that of schoolQ, while total number of candidates applied in schoolR is thrice that of schoolQ. No candidate can apply in more than one school and number of candidates applied in any of the school is not more than 250.Q. Find average number of candidates applied for the post of Math educators in all three schools together?a)160b)210c)120d)140e)Can’t be determinedCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Directions: Read the following information carefully and answer the questions based on it.There are three schools – P, Q, and R, number of vacancies released by schoolsP, Q, and R for thepost of Math educator are (Z + 3), Y and M respectively. Averagenumber of candidates applied per vacancy in schoolsP, Q, and R is 20, 35, and 42 respectively. Total number of candidates applied in school P is twice that of schoolQ, while total number of candidates applied in schoolR is thrice that of schoolQ. No candidate can apply in more than one school and number of candidates applied in any of the school is not more than 250.Q. Find average number of candidates applied for the post of Math educators in all three schools together?a)160b)210c)120d)140e)Can’t be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information carefully and answer the questions based on it.There are three schools – P, Q, and R, number of vacancies released by schoolsP, Q, and R for thepost of Math educator are (Z + 3), Y and M respectively. Averagenumber of candidates applied per vacancy in schoolsP, Q, and R is 20, 35, and 42 respectively. Total number of candidates applied in school P is twice that of schoolQ, while total number of candidates applied in schoolR is thrice that of schoolQ. No candidate can apply in more than one school and number of candidates applied in any of the school is not more than 250.Q. Find average number of candidates applied for the post of Math educators in all three schools together?a)160b)210c)120d)140e)Can’t be determinedCorrect answer is option 'D'. Can you explain this answer?.
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