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Which of the following numbers is divisi...

Which of the following numbers is divisible by 15?

A

30560

B

29515

C

23755

D

17325

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AI Generated Solution

The correct Answer is:
To determine which of the following numbers is divisible by 15, we need to check for divisibility by both 5 and 3, since a number is divisible by 15 if it is divisible by both of these numbers. Let's analyze the options step by step. ### Step 1: Check Divisibility by 5 A number is divisible by 5 if its last digit is either 0 or 5. **Options:** 1. 1 2. 7 3. 3 4. 2 5. 5 **Analysis:** - The only number that ends in 0 or 5 is **5**. Therefore, it is divisible by 5. ### Step 2: Check Divisibility by 3 A number is divisible by 3 if the sum of its digits is divisible by 3. **Option Analysis:** - **Option 1: 1** - Sum of digits = 1 - 1 is not divisible by 3. - **Option 2: 7** - Sum of digits = 7 - 7 is not divisible by 3. - **Option 3: 3** - Sum of digits = 3 - 3 is divisible by 3. - **Option 4: 2** - Sum of digits = 2 - 2 is not divisible by 3. - **Option 5: 5** - Sum of digits = 5 - 5 is not divisible by 3. ### Step 3: Combine Results Now we need to find a number that is divisible by both 5 and 3 to determine if it is divisible by 15. - **Option 1: 1** - Not divisible by 5 or 3. - **Option 2: 7** - Not divisible by 5 or 3. - **Option 3: 3** - Divisible by 3 but not by 5. - **Option 4: 2** - Not divisible by 5 or 3. - **Option 5: 5** - Divisible by 5 but not by 3. ### Conclusion None of the options are divisible by both 5 and 3, hence none of the numbers provided are divisible by 15.
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S CHAND IIT JEE FOUNDATION-NUMBERS-QUESTION BANK -1
  1. For what value fo n are 2^(n)-1 and 2^(n)+1 prime?

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  2. In a six digit number, the sum of the digits in the even places is 9 a...

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  3. Which of the following numbers is divisible by 15?

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  4. The difference of a number consisting of two digits and the number ...

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  5. The number 89715938* is divisible by 4. The unknown non-zero digit ...

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  6. An integer is divisible by 16 if and only if its last X digits are ...

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  7. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by (a) 3 (b) 11 (c) 1...

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  8. If n is any natural number then n^(2)(n^(2)-1) is always divisible

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  9. The sum of all possible two digit numbers formed from three different ...

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  10. A 6-digit number is formed by repeating a 3-digit number: for examp...

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  11. The smallest number to be added to 1000, so that 45 divides the sum ex...

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  12. In the product 459 xx 46 xx 28* xx 484, the digit in the unit place is...

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  13. How many of the following numbers are divisible by 3 but not by 9? ...

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  14. When a number is divided by 893 , the remaineder is 193 . What will be...

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  15. What is the least natural number which leaves no remainder when div...

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  16. Positive integers

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  17. Consider the following statements: A. The product of an integer and ...

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  18. The rational number lying between 5/6 and 6/7 is

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  19. Rational number (-18)/5 lies between consecutive integers :

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  20. A rational equivalent to (-24)/20 with denominator 25 is :

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