Practice GAT Subject Mathematics questions with answers and explanations.
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The square root is the number whose square equals 196.
Since 14 × 14 = 196, the answer is 14.
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The cube root is the number that gives 729 when cubed.
Since 9³ = 729, the answer is 9.
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Multiples of 8 are 8, 16, 24, and so on.
The first multiple also divisible by 12 is 24.
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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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A prime number has exactly two positive factors: 1 and itself.
The number 29 is not divisible by 2, 3, or 5.
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The common factors of 36 and 48 include 1, 2, 3, 4, 6, and 12.
The greatest of these is 12.
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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.
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The terms are factorials: 1!, 2!, 3!, and 4!.
The next term is 5! = 120.
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The digit 7 is in the thousands place.
Therefore, its place value is 7 × 1,000 = 7,000.
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A prime number has exactly two positive factors: 1 and itself.
The number 29 is not divisible by 2, 3, or 5.
