Question:
The average length of three tapes is 6800 feet. None of the tapes is less than 6400 feet. What is the greatest possible length of one of the other tapes?
The average length of three tapes is 6800 feet. None of the tapes is less than 6400 feet. What is the greatest possible length of one of the other tapes?
Updated On: Mar 6, 2025
- 6400
- 6800
- 7600
- 6700
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: The average length of the tapes is 6800 feet, so the total length of the three tapes is:
\[ \text{Total length} = 6800 \times 3 = 20400 \text{ feet} \]
Step 2: The two tapes together should have a total length of less than or equal to:
\[ 20400 - 6400 = 14000 \text{ feet} \]
Step 3: To maximize the length of one tape, the sum of the lengths of the other two tapes must be minimized. So, the minimum total length of the two tapes is:
\[ 6400 + 6400 = 12800 \text{ feet} \]
Step 4: The length of the largest tape is:
\[ 20400 - 12800 = 7600 \text{ feet} \]
Was this answer helpful?
0
0
Top Questions on Average
- In an office with 8 employees, the average rating of all employees is 30. The average rating of the top five employees is 38, and the average rating of the bottom three employees is 25. Which of the following is not possible?
- The average of 101 consecutive odd numbers is 303. Find the largest number.
- For predicting the straight-line trend in the sales of washing machines (in thousands) on the basis of 8 consecutive years' data, the company calculates 4-year moving averages. If the sales of washing machines for respective years are \( a, b, c, d, e, f, g, \) and \( h \), then which of the following averages will be computed?
(A) \( \frac{a + b + c + d}{4} \)
(B) \( \frac{a + c + d + e}{4} \)
(C) \( \frac{c + d + f + h}{4} \)
(D) \( \frac{b + c + d + e}{4} \)
Choose the correct answer from the options given below: - If the average of p numbers is q2 and that of q numbers is p2, then the average of (p+q) numbers is:
- If the average of six numbers is 18, and three of the numbers are 15, 20, and 25, what is the average of the remaining three numbers?
View More Questions
Questions Asked in ATMA exam
- A retailer purchases shirts from a distributor at the rate of 300 per shirt and puts the label of 450 on each shirt. If the retailer allows some discount and still make a profit of 23%, then what is the discount percentage offered by the shopkeeper?
- ATMA - 2021
- Percentage
- Read the following information carefully and answer the question that follows.
What is the ratio of sales in second quarter by Volvo to sales in first quarter by Mercedes?
- ATMA - 2021
- Data Interpretation
- Read the following information carefully and answer the question that follows.
How many trucks did Tata Motors sell in the complete year approximately?
- ATMA - 2021
- Data Interpretation
- 12 men and 6 women can complete a work in 10 days. 3 men and 6 women can complete this work in 25 days. How many men are required to complete this work in 5 days?
- ATMA - 2021
- Time and Work
- The price of a diamond is directly proportional to square its weight. A trader bought a piece of diamond weighing 10 grams for Rs.2,00,000. He broke it into three pieces of weights 5 grams, 3 grams and 2 grams, and sold them individually. What was the total loss incurred by the trader?
- ATMA - 2021
- Ratio and Proportion
View More Questions