Which number is divisible by 9?
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A number is divisible by 9 when the sum of its digits is divisible by 9.
For 5,832, the digit sum is 18.
Practice GAT Subject General Aptitude questions with answers and explanations.
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A number is divisible by 9 when the sum of its digits is divisible by 9.
For 5,832, the digit sum is 18.
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Since 12 × 13 = 156, subtracting gives 157 - 156 = 1.
Thus, the remainder is 1.
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Division and multiplication have equal priority and are performed left to right.
So 48 ÷ 6 = 8, and 8 × 3 = 24.
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Multiplication is performed before addition.
Thus, 3 × 4 = 12 and 5 + 12 = 17.
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Each term is double the previous term.
Therefore, 16 × 2 = 32.
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The operation inside parentheses is completed first.
Then 12 ÷ 3 = 4.
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The sequence follows repeated multiplication by 2.
Thus, 40 × 2 = 80.
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The terms are consecutive perfect squares: 1², 2², 3², and 4².
The next term is 5² = 25.
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The differences are 3, 5, 7, and 9.
The next difference is 11, giving 26 + 11 = 37.
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Every term is multiplied by 2.
Therefore, 56 × 2 = 112.
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The successive increases are 3, 4, 5, and 6.
The next increase is 7, so 28 + 7 = 35.
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The amounts subtracted are 9, 16, and 25, which are 3², 4², and 5².
Subtracting the next square, 6² = 36, gives 50 - 36 = 14.