Calculating Class Composition
We start by determining the total number of girls and boys in the class.
The total number of students is given as 88.
The number of girls is stated to be 5/8 of the total students. We can calculate this as:
Number of girls = \( \frac{5}{8} \times 88 \)
Number of girls = \( 5 \times 11 \)
Number of girls = 55
Now, we can find the number of boys by subtracting the number of girls from the total number of students:
Number of boys = Total students - Number of girls
Number of boys = \( 88 - 55 \)
Number of boys = 33
Analyzing Rahul's Position
Next, we analyze Rahul's rank and the students positioned before him.
Rahul is the 16th student from the top. This means there are \( 16 - 1 = 15 \) students ahead of him in the ranking.
We are told that there are 12 girls ahead of Rahul among these 15 students.
To find the number of boys ahead of Rahul, we subtract the number of girls ahead from the total students ahead:
Boys ahead of Rahul = Total students ahead - Girls ahead of Rahul
Boys ahead of Rahul = \( 15 - 12 \)
Boys ahead of Rahul = 3
Since there are only 3 boys ahead of Rahul, and he is ranked 16th, Rahul himself must be a boy.
Determining Boys After Rahul
Finally, we calculate the number of boys who are ranked after Rahul.
We know the total number of boys in the class is 33.
We also know that there are 3 boys ahead of Rahul, and Rahul himself is a boy. So, the total number of boys up to and including Rahul's position is:
Boys up to and including Rahul = Boys ahead of Rahul + 1 (Rahul)
Boys up to and including Rahul = \( 3 + 1 \)
Boys up to and including Rahul = 4
To find the number of boys after Rahul, we subtract the number of boys up to and including his position from the total number of boys in the class:
Number of boys after Rahul = Total number of boys - Boys up to and including Rahul
Number of boys after Rahul = \( 33 - 4 \)
Number of boys after Rahul = 29
Similar Questions
- In a race of 40 runners, if Anu is placed 15th, how many runners are ahead of her?
Horse E was running ahead of horse D in the middle of the race. Horse C was ahead of horse A but behind horse B. Horse A was running ahead of horse E. From this point on, the fourth-placed horse took the lead and won the race. If the positions of the other horses remained the same, which horse was in the middle at the end of the race?
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?
A is taller than B. C and D are of equal height. E is shorter than B but taller than D. F is shorter than C, who is shorter than B. Who is the shortest among all?
Five friends took a test. Payal scored more than Komal. Reena scored less than Payal. Simi scored more than Tanu but less than Komal. Who among them scored the highest?
In a class, 24 students have scored more marks than Vineet, whereas 19 students have scored lesser marks than Surbhi. Arti has scored more marks than Surbhi, but lesser marks than Vineeet. Arti has scored lesser marks than 29 students and more marks than 26 students. How many total students are there in the class ?
There are six fruits A, B, C, D, E and F. A is sweeter than D but not as sweet as B. E and B are not as sweet as F. D is sweeter than C. E is sweeter than A. Which fruit among the six is the least sweet?
O, P, Q, R, S and T are six sisters who are good at knitting. T is better than S. Q is better than R. O is better than P. Q is not as good as P. S is better than O. Who among the six is the best at knitting?
J, K, L, M, N and O are six colleagues working in an NGO. J earns more than L but less than M. K earns more than J but less than N. N earns less than O but more than M. K earns less than M. Who among the six earns the most?
Rama is taller than Saho. Manoj is shorter than Dinesh. Dinesh is taller than Tara but shorter than Saho. Kailash is shorter than Tara but taller than Manoj. Tara is shorter than Saho. Who is the shortest?
Important Questions from Ordering and Ranking
A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:
i. He must visit A before B and E.
ii. He must visit B before D.
iii. The third hospital he visits must be C.
Which of the following could be the possible order in which the medical representative visits the six hospitals?Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?
Five men P, Q, R, S and T are reading a newspaper. The one who reads it first, gives it to T. The one who reads it last, had taken it from R. Q is not the first or last one to read it. There were two readers between P and R. Who is the third one to have read the newspaper?
P, Q, R, S, T and U are standing in a queue. Q is just ahead of P. S is just behind T. U is NOT near R, who is separated from Q by two persons. Who is standing at the front of the queue?
Five students took part in a cycling competition. Robert finished before Monish but behind Gunjan. Anil finished before Sunil but behind Monish.
Who won the competition?
