Practice NAT Quantitative Reasoning questions with answers and explanations.
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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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Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.
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The original total age is 4 × 25 = 100 years.
The new total is 5 × 27 = 135, so the new age is 35.
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Profit equals selling price minus cost price.
Thus, 920 - 800 = Rs. 120.
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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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A 10% loss on Rs. 1,200 is Rs. 120.
Subtracting gives a selling price of Rs. 1,080.
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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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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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The discount is 15% of Rs. 2,000, which is Rs. 300.
The sale price is Rs. 2,000 - Rs. 300 = Rs. 1,700.
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Thirty percent of 20 liters is 0.30 × 20.
This equals 6 liters.
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After a 10% discount, 90% remains; after another 20%, 80% of that remains.
The final price is 72%, so the total discount is 28%.
