All Exams Test series for 1 year @ ₹349 only
Question

A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be

The correct answer is
15th from the top and 26th from the bottom

To solve the problem, we need to determine A's rank in the entire class based on the given information about her and B's ranking among the girls and boys separately.

Step 1: Determine Total Number of Girls

A ranks 10th from both the top and the bottom among the girls, which implies that:

  • Total number of girls = 10 + 10 - 1 = 19.

Step 2: Determine Total Number of Boys

B's ranking among the boys is given as 6th from the top and 16th from the bottom. Therefore:

  • Total number of boys = 6 + 16 - 1 = 21.

Step 3: Calculate Total Number of Students in the Class

Adding the number of girls and boys together gives us:

  • Total students = 19 (girls) + 21 (boys) = 40.

Step 4: Determine A and B's Positions in the Entire Class

  • A ranks 10th from the top among girls. There are 19 girls in total, hence she is the 10th girl.
  • B ranks 6th from the top among boys. There are 21 boys in total, hence he is the 26th (19 + 6 - 1) in the overall class because all the girls are considered first.

Step 5: A is Ahead of B in the Merit Order

A is immediately ahead of B, meaning A takes the 25th position in the overall order of 40 students.

Conclusion: Find A's Rank from the Top and Bottom

  • From the top: A's position is 25th.
  • From the bottom: Total students - A's position from top + 1 = 40 - 25 + 1 = 16, so she is 16th from the bottom.

Therefore, A's rank in the entire class is 15th from the top and 26th from the bottom.

Was this answer helpful?

Important Questions from Ordering and Ranking (Notes)

  1. The sixth largest three-digit odd number among those with all digits distinct is
  2. A transformation experiment is performed with two Pneumococcal strains. One strain is resistant to four drugs - A, B, C, and D, whereas the other is sensitive to all the drugs. Both strains are mixed and the mixture is plated on media containing various combinations of the drugs. The colonies obtained on these plates are given below:
    Drugs added No. of colonies Drugs added No. of colonies
    A 1156 CD 786
    B 1148 ABC 30
    C 1161 ABD 42
    D 1139 ACD 630
    AB 46 BCD 36
    AC 640 ABCD 30
    AD 942
    BC 51

    Based on the above results, which one of the below options represents the most likely order of the drug-resistance genes?
  3. There are five boys P, Q, R, S and T sitting in a row facing North such that P is right of Q and T is left of R and right of P. Q is right of S. Which boy is in the middle of the row?
  4. Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Q has an exam on Thursday and U has an exam on Saturday. T has an exam immediately before S. P has an exam on one of the days after V. R has an exam immediately after S. How many people have exams between R and P?

  5. Among five people of different ages, P is older than R. L is younger than M. R is older than Y. M is younger than Y. Who is the youngest?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App