Algebra, arithmetic, reasoning.
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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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The reciprocal of 0.25 is 1 ÷ 0.25.
Since 0.25 = 1/4, its reciprocal is 4.
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The total score is 20 × 60 + 30 × 70 = 3,300.
Dividing by 50 students gives 66.
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The selling price is 125% of the cost price.
Thus, cost price = 1,500 ÷ 1.25 = Rs. 1,200.
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He charges for 1,000 grams but supplies only 900 grams.
Gain percentage is 100/900 × 100 = 11 1/9%.
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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.
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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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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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Since 12 × 13 = 156, subtracting gives 157 - 156 = 1.
Thus, the remainder is 1.
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Absolute value is the distance from zero on the number line.
The distance of -18 from zero is 18.
