Quant Exam  >  Quant Questions  >  The weights of 19 people are in Arithmetic pr... Start Learning for Free
The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?
  • a)
    1 Kg
  • b)
    2 Kg
  • c)
    3 Kg
  • d)
    4 kg
  • e)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The weights of 19 people are in Arithmetic progression. The average we...
Total number of people = 19
Find the sum of the weight of 19 people:
Average weight of the 19 people = 19
Total weight of the 19 people = 19 x 19 = 361
Find the lightest weight:
Lightest = a1
heaviest = a19 = 37
Sum of 19 people = 361 
sn = n/2 (a1 + an)
361 = 19/2 (a1 + 37)
722 = 19a + 703
19a = 19
a = 19 � 19 = 1
View all questions of this test
Most Upvoted Answer
The weights of 19 people are in Arithmetic progression. The average we...
Given information:
- Weights of 19 people are in Arithmetic progression.
- Average weight of them is 19.
- Heaviest person weighs 37 kg.

To find:
- Weight of the lightest person.

Solution:
Let the common difference be 'd' and the weight of the lightest person be 'a'.
Then, the weight of the heaviest person will be 'a + 18d' (since there are 19 people in total).

Using the formula for the average of an arithmetic progression, we get:
Average weight = (Sum of weights)/(Number of people)
19 = [(19/2)(2a + 18d)]/19
2a + 18d = 38

We also know that the weight of the heaviest person is 37 kg.
So, a + 18d = 37

Solving these two equations, we get:
a = 1 kg
d = 2 kg

Therefore, the weight of the lightest person is 1 kg.
Free Test
Community Answer
The weights of 19 people are in Arithmetic progression. The average we...
Answer – 1. 1 Kg Explanation: 19*19 = 19/2(2a+18d) 38= 2a+18d 37 = a+18d a = 1
Explore Courses for Quant exam
The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
Question Description
The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. 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 weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. 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 weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. 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 weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The weights of 19 people are in Arithmetic progression. The average weight of them is 19. If the heaviest is 37 Kgs. Then what is the weight of the Lightest?a)1 Kgb)2 Kgc)3 Kgd)4 kge)Cannot be determinedCorrect answer is option 'A'. 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