The average of 6 consecutive integers is 17.5. What is the smallest integer?
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Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.
Practice PPSC questions with answers and explanations.
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Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.
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The average of 1 through n is (n + 1)/2.
Setting (n + 1)/2 = 20 gives n = 39.
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The difference between C and A is 2 ratio parts, equal to Rs. 600.
One part is Rs. 300, so 12 parts total Rs. 3,600.
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Initially, milk is 42 liters and water is 18 liters.
For a 7:5 ratio with 42 liters milk, water must be 30 liters, so add 12.
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Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.
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The sequence increases by 3 each time.
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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The terms are consecutive perfect squares.
The next term is 5² = 25.
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The terms are consecutive cubes.
The next term is 5³ = 125.
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The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.
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For inverse variation, xy is constant.
Since 12 × 4 = 48, x = 48/6 = 8.
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Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.