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Which among the following numbers is exactly divisible by 11,13 and 7? (SSC CHSL-2018)
- a)259237
- b)259248
- c)259270
- d)259259
Correct answer is option 'D'. Can you explain this answer?
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Which among the following numbers is exactly divisible by 11,13 and 7?...
Solution:
- To find the number which is divisible by 11, 13, and 7, we need to find the LCM of these three numbers.
- LCM of 11, 13 and 7 is 11 x13 x 7 = 1001.
- Now, we need to check which among the given numbers is exactly divisible by 1001.
- Dividing the given numbers by 1001, we get:
- 259237 ÷ 1001 = 259 remainder 976
- 259248 ÷ 1001 = 259 remainder 1009
- 259270 ÷ 1001 = 259 remainder 1031
- 259259 ÷ 1001 = 259 remainder 1002
- Only option D, i.e., 259259, has a remainder of 1002, which is divisible by 7, 13, and 11. Therefore, the correct answer is option D.
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Community Answer
Which among the following numbers is exactly divisible by 11,13 and 7?...
L. C. M. of 11, 13 and 7
= 11 × 13 × 7 = 1001.
Now, from given option '259259' is divisible by '1001'.
Hence, '259259' is divisible by 11, 13 and 7.
= 11 × 13 × 7 = 1001.
Now, from given option '259259' is divisible by '1001'.
Hence, '259259' is divisible by 11, 13 and 7.
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Which among the following numbers is exactly divisible by 11,13 and 7? (SSC CHSL-2018)a)259237b)259248c)259270d)259259Correct answer is option 'D'. Can you explain this answer?
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