Practice NET Mathematics questions with answers and explanations.
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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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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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The sum is 12 + 18 + 20 + 30 = 80.
Dividing by 4 gives an average of 20.
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Total equals average multiplied by the number of values.
Thus, 24 × 5 = 120.
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The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.
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Multiply both numbers by 10 to remove decimals.
Then 48 ÷ 6 = 8.
