Quant Exam  >  Quant Questions  >  The average weight of 39 Students in a class ... Start Learning for Free
 The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?
  • a)
    15
  • b)
    16
  • c)
    18
  • d)
    19
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average weight of 39 Students in a class is 23. Among them Sita is...
S+T = 23*(39-37) = 46
S/T = 15/8
T = 16
View all questions of this test
Most Upvoted Answer
The average weight of 39 Students in a class is 23. Among them Sita is...
Given information:
- Average weight of 39 students = 23
- Sita is the heaviest and Tina is the lightest
- Excluding both of them, the average remains the same
- Ratio of Sita's weight to Tina's weight = 15:8

To find: Tina's weight

Solution:

Let the sum of weights of all students excluding Sita and Tina be x.

So, the sum of weights of all 39 students = x + weight of Sita + weight of Tina

Since the average weight is 23, we can write:

(x + weight of Sita + weight of Tina) / 39 = 23

=> x + weight of Sita + weight of Tina = 897 (eq.1)

Also, we know that excluding Sita and Tina, the average weight remains the same. So,

x / 37 = 23

=> x = 851 (eq.2)

Substituting eq.2 in eq.1, we get:

weight of Sita + weight of Tina = 46

Given, the ratio of weight of Sita to Tina is 15:8.

So, let the weight of Tina be 8x. Then, the weight of Sita will be 15x.

From the above equation, we have:

15x + 8x = 46

=> 23x = 46

=> x = 2

Therefore, Tina's weight = 8x = 16.

Hence, the correct option is B.
Explore Courses for Quant exam

Similar Quant Doubts

The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The average weight of 39 Students in a class is 23. Among them Sita is the heaviest while Tina is the lightest. If both of them are excluded from the class still the average remains same. The ratio of weight of Sita to Tina is 15:8.Then what is the weight of the Tina?a)15b)16c)18d)19e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev