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If the number 2345a60b is exactly divisi...

If the number 2345a60b is exactly divisible by 3 and 5, then the maximum value of `a+b` is (a).12 (b) 13 (c) 14 (d) 15

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RD SHARMA ENGLISH-PLAYING WITH NUMBERS-All Questions
  1. The greatest five digit number exactly divisible by 9 and 13 is (a)...

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  2. From the set {2, 3, 4, 5, 6, 7, 8, 9}, how many pairs of co-primes can...

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  3. If the number 2345a60b is exactly divisible by 3 and 5, then the max...

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  4. The HCF of 100 and 101 is (a)10100          (b)  1001        (c) ...

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  5. The greatest four digit number which when divided by 18 and 12 leave...

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  6. The GCD of two numbers is 17 and their LCM is 765. How many pairs of...

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  7. The number of factors of 1080 is (a) 32 (b) 28 (c) 24 (d) 36

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  8. The HCF of first 100 natural numbers is:

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  9. The least number exactly divisible by 36 and 24 is (a)144         ...

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  10. Find the HCF of all natural numbers from 200 to 478

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  11. If x is prime, y is a composite number such that x+y=240 and their LCM...

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  12. The LCM of two numbers is 1024 and one of them is a prime number, F...

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  13. The GCD of two numbers is 4 and their LCM is 400. How many pairs of va...

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  14. Find the greatest number that can divide 101 and 115 leaving remain...

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  15. Find the least three digit number which when divided by 20, 30, 40 ...

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  16. Find the largest number that divides 59 and 54 leaving remainders 3...

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  17. Can two numbers have 12 as their HCF and 512 as their LCM? Justify ...

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  18. Write all prime numbers between 50 and 100.

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