Science and logic reasoning: Find the next number: 1, 3, 7, 15, 31, ___
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Each term is twice the previous term plus 1.
So 31 × 2 + 1 = 63.
Practice AKU MBBS questions with answers and explanations.
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Each term is twice the previous term plus 1.
So 31 × 2 + 1 = 63.
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Each term increases by 3.
Adding 3 to 12 gives 15.
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Each term is double the previous term.
Therefore, 16 × 2 = 32.
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Convert 1/4 to 2/8.
Then 7/8 - 2/8 = 5/8.
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Multiply numerators and denominators, then simplify.
(3 × 10)/(5 × 9) = 30/45 = 2/3.
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Dividing by a fraction means multiplying by its reciprocal.
Thus, 4/7 × 3/2 = 12/14 = 6/7.
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Dividing 84 by primes gives 84 = 2 × 2 × 3 × 7.
This is 2² × 3 × 7.
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An irrational number cannot be expressed as a ratio of integers.
The number √2 has a nonterminating, nonrepeating decimal expansion.
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The expression 2⁵ means multiplying five factors of 2.
Thus, 2 × 2 × 2 × 2 × 2 = 32.
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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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The sequence increases by 3 each time.
Adding 3 to 11 gives 14.