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Question

Out of 72 students, boys are twice girls. A girl is ranked \(12^{th}\) from top. If 5 boys are ahead of her, how many girls are after her?

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
17

Understanding the Student Ratio

First, we need to determine the total number of boys and girls in the group.

  • Total number of students = 72.
  • Let the number of girls be '\(G\)'.
  • Let the number of boys be '\(B\)'.
  • The problem states that the number of boys is twice the number of girls: \(B = 2G\)
  • The total number of students is the sum of boys and girls: \(B + G = 72\)
  • Substitute the first equation (\(B = 2G\)) into the second equation: \(2G + G = 72\)
  • Combine the terms: \(3G = 72\)
  • Solve for the number of girls (\(G\)): \(G = \frac{72}{3} = 24\) So, there are 24 girls.
  • Now, calculate the number of boys (\(B\)): \(B = 2 \times G = 2 \times 24 = 48\) There are 48 boys.
  • Let's verify: \(48 \text{ boys} + 24 \text{ girls} = 72 \text{ students}\). This matches the total given.

Analyzing the Girl's Rank and Position

Next, let's analyze the position of the specific girl mentioned in the question.

  • Her rank from the top is 12th. This means there are 11 students ahead of her in the ranking.
  • The question specifies that 5 boys are ahead of her.
  • To find the number of girls ahead of her, we subtract the number of boys ahead from the total number of students ahead: Number of girls ahead = (Total students ahead) - (Boys ahead) Number of girls ahead = \(11 - 5 = 6\) So, 6 girls are ranked ahead of her.

Calculating the Number of Girls After Her

Finally, we calculate how many girls are positioned after her in the ranking.

  • Total number of girls = 24.
  • Number of girls ahead of her = 6.
  • The girl herself occupies one position.
  • The number of girls after her is the total number of girls minus those ahead of her and herself. Number of girls after her = (Total girls) - (Girls ahead) - (Herself) Number of girls after her = \(24 - 6 - 1\)
  • Calculating the final number: Number of girls after her = \(17\)

Therefore, there are 17 girls ranked after the specific girl.

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Similar Questions

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  2. Ina class of 64 students, Komal’s rank is 6 positions lower (i.e. towards bottom) than her friend Shikha, who is at the 59 th position from the end. What is Komal’s rank from the top in the class?

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Important Questions from Ordering and Ranking

  1. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

  2. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

  4. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Wednesday?

  5. In a row 'A' is in the 11th position from the left and 'B' is in the 10th position from the right. If 'A' and 'B' interchange, then 'A' becomes 18th from the left.

    How many persons are there in the row other than 'A' and 'B'?

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