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What is the least number which when divi...

What is the least number which when divided by the numbers 3,5,6,8,10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder.

A

312

B

962

C

1562

D

1586

Text Solution

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-HCF AND LCM-QUESTION BANK -3
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  2. A general can draw up his soldiers in the rows of 10, 15 and 18 soldie...

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  3. The cicumferences of a fore and hind wheels of a carriage are 6 3/14m ...

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  4. The LCM of two numbers is 28 times of their HCF. The sum of their LCM ...

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  5. Find the two largest numbers of four digits having 531 as their HCF:

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  6. Find the greatest number of five digits which become exactly divisibl...

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  7. Two numbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. ...

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  8. The HCF of two numbers each consisting of 4 digits is 103 and their LC...

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  9. Four prime numbers are written in ascending order of their magnitudes....

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  10. A number lying between 1000 and 2000 is such that on division by 2,3,4...

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  11. Find the greatest number of five digits which when divided by 4,6,14 a...

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  12. Find the least number which when divided by 12, 24, 36 and 40 leaves a...

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  13. What is the least number which when divided by the numbers 3,5,6,8,10 ...

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  14. A heap of stones can be made up into groups of 21. When made up into g...

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  15. Find the least number which when divided by 2,3,4,5 and 6 leaves 1,2,3...

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  16. The HCF and LCM of two numbers are 12 and 72 respectively. If the sum ...

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  17. The difference of two numbers is 20 and their product is 56.25 times t...

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  18. There are 4 numbers. The HCF of each pair is 7 and the LCM of all the ...

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  19. Two persons A and B walk round a circle whose diameter is 1.4 km. A wa...

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  20. The LCM of two numbers is 495 and their HCF is 5. If the sum of the ...

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