Quant Exam > Quant Questions > The short and the long hands of a clock are 4...
Start Learning for Free
The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)
- a)954.56 cm
- b)3818.24 cm
- c)2909.12 cm
- d)2703.56 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The short and the long hands of a clock are 4 cm and 6 cm long respect...
Solve your question with thw help of this example:-
View all questions of this test
The tips cover circular paths.
The hour hand covers 4 complete circles in 2 days (48 hours)
Distance = 2 x 22/7 x 4 x 4 = 100.57 cm
The minute hand covers = 48 Circles in 2 days (Each hour = 1 circle)
Distance = 2 x 22/7 x 6 x 48 = 1810.23 cm
Total distance = 100.57 + 1810.23 = 1910.8 cm
Most Upvoted Answer
The short and the long hands of a clock are 4 cm and 6 cm long respect...
Given Information:
The length of the short hand of the clock is 4 cm.
The length of the long hand of the clock is 6 cm.
The value of pi (π) is approximately 3.14.
Calculating the Distance Travelled by the Short Hand:
The short hand of the clock completes one full revolution in 12 hours.
The circumference of the circle formed by the tip of the short hand is given by the formula 2πr, where r is the length of the short hand.
Therefore, the distance travelled by the tip of the short hand in one full revolution is 2πr.
Substituting the given values, the distance travelled by the tip of the short hand in one full revolution is 2 * 3.14 * 4 = 25.12 cm.
Calculating the Distance Travelled by the Long Hand:
The long hand of the clock completes one full revolution in 60 minutes.
The circumference of the circle formed by the tip of the long hand is given by the formula 2πr, where r is the length of the long hand.
Therefore, the distance travelled by the tip of the long hand in one full revolution is 2πr.
Substituting the given values, the distance travelled by the tip of the long hand in one full revolution is 2 * 3.14 * 6 = 37.68 cm.
Calculating the Total Distance Travelled in 4 Days:
In 4 days, there are 4 * 24 = 96 hours.
The short hand completes one full revolution every 12 hours, so it will complete 96 / 12 = 8 full revolutions in 4 days.
Therefore, the total distance travelled by the tip of the short hand in 4 days is 8 * 25.12 = 200.96 cm.
The long hand completes one full revolution every 60 minutes, so it will complete 96 * 60 = 5760 minutes in 4 days.
Therefore, the total distance travelled by the tip of the long hand in 4 days is 5760 / 60 * 37.68 = 3605.76 cm.
Calculating the Sum of the Distances Travelled:
The sum of the distances travelled by the tips of the short and long hands in 4 days is 200.96 + 3605.76 = 3806.72 cm.
Approximating the Answer:
Since we are given the value of pi as 3.14, we can round the final answer to two decimal places.
Therefore, the sum of the distances travelled by the tips of the short and long hands in 4 days is approximately 3806.72 cm, which is closest to option 'b' - 3818.24 cm.
The length of the short hand of the clock is 4 cm.
The length of the long hand of the clock is 6 cm.
The value of pi (π) is approximately 3.14.
Calculating the Distance Travelled by the Short Hand:
The short hand of the clock completes one full revolution in 12 hours.
The circumference of the circle formed by the tip of the short hand is given by the formula 2πr, where r is the length of the short hand.
Therefore, the distance travelled by the tip of the short hand in one full revolution is 2πr.
Substituting the given values, the distance travelled by the tip of the short hand in one full revolution is 2 * 3.14 * 4 = 25.12 cm.
Calculating the Distance Travelled by the Long Hand:
The long hand of the clock completes one full revolution in 60 minutes.
The circumference of the circle formed by the tip of the long hand is given by the formula 2πr, where r is the length of the long hand.
Therefore, the distance travelled by the tip of the long hand in one full revolution is 2πr.
Substituting the given values, the distance travelled by the tip of the long hand in one full revolution is 2 * 3.14 * 6 = 37.68 cm.
Calculating the Total Distance Travelled in 4 Days:
In 4 days, there are 4 * 24 = 96 hours.
The short hand completes one full revolution every 12 hours, so it will complete 96 / 12 = 8 full revolutions in 4 days.
Therefore, the total distance travelled by the tip of the short hand in 4 days is 8 * 25.12 = 200.96 cm.
The long hand completes one full revolution every 60 minutes, so it will complete 96 * 60 = 5760 minutes in 4 days.
Therefore, the total distance travelled by the tip of the long hand in 4 days is 5760 / 60 * 37.68 = 3605.76 cm.
Calculating the Sum of the Distances Travelled:
The sum of the distances travelled by the tips of the short and long hands in 4 days is 200.96 + 3605.76 = 3806.72 cm.
Approximating the Answer:
Since we are given the value of pi as 3.14, we can round the final answer to two decimal places.
Therefore, the sum of the distances travelled by the tips of the short and long hands in 4 days is approximately 3806.72 cm, which is closest to option 'b' - 3818.24 cm.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Question Description
The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer?.
The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect 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 short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum ofdistances travelled by their tips in 4 days? (Take p = 3.14)a)954.56 cmb)3818.24 cmc)2909.12 cmd)2703.56 cmCorrect 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.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup