Quant Exam > Quant Questions > A shopkeeper likes to arrange and rearrange h...
Start Learning for Free
A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?
Correct answer is '301'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A shopkeeper likes to arrange and rearrange his collection of stamps. ...
Solution:
Let's assume that the shopkeeper has 'x' number of stamps.
Arrangement in Pair:
If he arranges them in pairs, then the number of stamps should be an even number. Therefore, x is even.
Arrangement in Bundle of Three:
If he arranges them in bundles of three, then the number of stamps should be a multiple of 3. Therefore, x is a multiple of 3.
Arrangement in Bundle of Four:
If he arranges them in bundles of four, then the number of stamps should be a multiple of 4. Therefore, x is a multiple of 4.
Arrangement in Bundle of Five:
If he arranges them in bundles of five, then the number of stamps should be a multiple of 5. Therefore, x is a multiple of 5.
Arrangement in Bundle of Six:
If he arranges them in bundles of six, then the number of stamps should be a multiple of 6. Therefore, x is a multiple of 6.
Arrangement in Bundle of Seven:
If he arranges them in bundles of seven, then the number of stamps should leave no stamps in hand. Therefore, x is a multiple of 7.
To find the value of x, we need to find the LCM (Least Common Multiple) of 2, 3, 4, 5, 6 and 7 since x is a multiple of all these numbers.
LCM of 2, 3, 4, 5, 6 and 7 is 420.
Therefore, the shopkeeper has 420 stamps.
But we know that every time he arranges them in bundles, he is left with one stamp in hand. Therefore, we need to subtract 1 from 420 and check if the result is a multiple of 7.
420 - 1 = 419
Since 419 is not a multiple of 7, we need to keep subtracting 420 from the number until we get a number that is a multiple of 7.
419 - 420 = -1 (not a multiple of 7)
-1 - 420 = -421 (not a multiple of 7)
-421 - 420 = -841 (not a multiple of 7)
-841 - 420 = -1261 (not a multiple of 7)
Now, if we subtract 420 from -1261 once again, we get a number that is a multiple of 7.
-1261 - 420 = -1681
Therefore, the shopkeeper has 1681 stamps.
But we know that every time he arranges them in bundles, he is left with one stamp in hand. Therefore, we need to subtract 1 from 1681 and check if the result is a multiple of 7.
1681 - 1 = 1680
Since 1680 is a multiple of 7, this is the correct answer.
Therefore, the shopkeeper has 1680 + 1 = 1681 stamps.
Let's assume that the shopkeeper has 'x' number of stamps.
Arrangement in Pair:
If he arranges them in pairs, then the number of stamps should be an even number. Therefore, x is even.
Arrangement in Bundle of Three:
If he arranges them in bundles of three, then the number of stamps should be a multiple of 3. Therefore, x is a multiple of 3.
Arrangement in Bundle of Four:
If he arranges them in bundles of four, then the number of stamps should be a multiple of 4. Therefore, x is a multiple of 4.
Arrangement in Bundle of Five:
If he arranges them in bundles of five, then the number of stamps should be a multiple of 5. Therefore, x is a multiple of 5.
Arrangement in Bundle of Six:
If he arranges them in bundles of six, then the number of stamps should be a multiple of 6. Therefore, x is a multiple of 6.
Arrangement in Bundle of Seven:
If he arranges them in bundles of seven, then the number of stamps should leave no stamps in hand. Therefore, x is a multiple of 7.
To find the value of x, we need to find the LCM (Least Common Multiple) of 2, 3, 4, 5, 6 and 7 since x is a multiple of all these numbers.
LCM of 2, 3, 4, 5, 6 and 7 is 420.
Therefore, the shopkeeper has 420 stamps.
But we know that every time he arranges them in bundles, he is left with one stamp in hand. Therefore, we need to subtract 1 from 420 and check if the result is a multiple of 7.
420 - 1 = 419
Since 419 is not a multiple of 7, we need to keep subtracting 420 from the number until we get a number that is a multiple of 7.
419 - 420 = -1 (not a multiple of 7)
-1 - 420 = -421 (not a multiple of 7)
-421 - 420 = -841 (not a multiple of 7)
-841 - 420 = -1261 (not a multiple of 7)
Now, if we subtract 420 from -1261 once again, we get a number that is a multiple of 7.
-1261 - 420 = -1681
Therefore, the shopkeeper has 1681 stamps.
But we know that every time he arranges them in bundles, he is left with one stamp in hand. Therefore, we need to subtract 1 from 1681 and check if the result is a multiple of 7.
1681 - 1 = 1680
Since 1680 is a multiple of 7, this is the correct answer.
Therefore, the shopkeeper has 1680 + 1 = 1681 stamps.
|
Explore Courses for Quant exam
|
|
A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer?
Question Description
A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. 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 A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer?.
A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. 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 A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer?.
Solutions for A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. 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 A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer?, a detailed solution for A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? has been provided alongside types of A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time hes left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, hes not left with any stamp. How many stamps does a shopkeeper have?Correct answer is '301'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
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