Practice NET Mathematics questions with answers and explanations.
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Rate = SI × 100 ÷ (P × T).
Thus, 800 × 100 ÷ (4,000 × 5) = 4%.
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Compound amount is P(1 + r)².
Thus, 10,000 × 1.1² = Rs. 12,100.
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The amount is 8,000 × 1.05² = Rs. 8,820.
Subtracting the principal gives compound interest of Rs. 820.
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Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.
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For two years, the difference is P(r/100)².
So 10,000 × 0.1² = Rs. 100.
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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 weighted sum is 70 × 2 + 90 × 3 = 410.
Dividing by the total weight 5 gives 82.
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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 total ratio parts are 7, so one part is 35/7 = 5 liters.
Water is two parts, or 10 liters.
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Thirty percent of 20 liters is 0.30 × 20.
This equals 6 liters.
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The solution contains 4 liters of salt, which remains unchanged.
For salt to be 25%, total volume must be 16 liters, so 6 liters are added.
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For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.
