If x varies directly as y and x = 18 when y = 6, what is x when y = 10?
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For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.
Practice Pakistan questions with answers and explanations.
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For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.
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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.
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Two centimeters represent 100,000 centimeters in reality.
Since 100,000 cm = 1 km, the answer is 1 kilometer.
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The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.
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The difference of ratio parts is 5, corresponding to 35.
One part is 7, so the larger number is 9 × 7 = 63.
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Make the common term b equal in both ratios.
Multiplying 4:7 by 2 gives 8:14, so a:b:c = 8:14:15.
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Five parts equal Rs. 50,000, so one part is Rs. 10,000.
Expenditure is four parts, leaving one part as saving.
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The cost per pen is 150 ÷ 5 = Rs. 30.
Eight pens cost 8 × 30 = Rs. 240.
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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 least common multiple of 3 and 4 is 12.
A number divisible by both must therefore be divisible by 12.
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Starting from 100, a 10% increase gives 110.
A 10% decrease from 110 gives 99, which is 1% lower.