If the number 653 xy is divisible by 90, then (x + y) = ?
Problems On Number
- Kumari
- 06 May
- 79 Answers
79 Answers
79 Answers
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4Modal content
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9Modal content
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4Modal content
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4Modal content
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several ans given below....
what about yr ans??????????????????Modal content
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4Modal content
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4Modal content
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4Modal content
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4Modal content
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6Modal content
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Answer is 4 .
Here is the explanation :
90 = 10 x 9
Clearly, 653xy is divisible by 10, so y = 0
Now, 653x0 is divisible by 9.
So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4.
Hence, (x + y) = (4 + 0) = 4.Modal content
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Consider 90=9*10.so,look at the divisible rule for 9 and 10.For 10,the last digit should be 0[y=0]. For 9,sum of all digits should be divisible by 9. 6+5+3+4+0=18....div by 9.so,x+y=4+0=4Modal content
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4Modal content
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Answer: Option C
Explanation:
90 = 10 x 9
Clearly, 653xy is divisible by 10, so y = 0
Now, 653x0 is divisible by 9.
So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4.
Hence, (x + y) = (4 + 0) = 4.Modal content
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4Modal content
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It is divisible by 90 therfore it must have two numbers such as 9,10
(x+y)=4Modal content
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x+y=4 as divisibility by 90 needs multiple of both 9 and 10, which requires last term to be zero. for 9 sum of all terms should be divisible by 9. henceforth, x+y=4.Modal content
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To get divisible by 9,the sum of digits of any given no. Should be divisible by 9.From this rule,it is clear that (x+y) = 4 ,,and here we have the divisor 90 so the last digit should be 0 and second last will be 4. Thats why the answer will be 4 & 0Modal content
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4Modal content
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