Practice HAT questions with answers and explanations.
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After a 30% discount, 70% of the original price remains.
Thus, the original price is 840 ÷ 0.70 = 1,200.
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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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Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.
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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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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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The cost per pen is 150 ÷ 5 = Rs. 30.
Eight pens cost 8 × 30 = Rs. 240.
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Workers and time are inversely proportional for fixed work.
Thus, 12 × 15 = 20 × days, giving 9 days.
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After a 20% increase, the quantity becomes 120% of the original.
The required reduction is 20/120 × 100 = 16⅔%.
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The sum is 12 + 18 + 20 + 30 = 80.
Dividing by 4 gives an average of 20.
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Convert each value to decimals: 5/8 = 0.625, 0.60 = 0.60, 59% = 0.59, and 3/5 = 0.60.
Therefore, 5/8 is the greatest.
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Total equals average multiplied by the number of values.
Thus, 24 × 5 = 120.
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Multiply 2 × 3 = 6 and count three decimal places in total.
The product is 0.006.
