For the selling price in rupees for a 25% margin on sales when cost is Rs 300, identify the numerical answer in the specified units.
Correct answer: B
Cost is 75% of sales, so sales=300/0.75.
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Evaluate the two proposed answers. Which are supported? I. the selling price in rupees for a 25% margin on sales when cost is Rs 300 — the numerical answer in the specified units: 400. II. the number of years for simple interest to equal principal at 8% per year — the numerical answer in the specified units: 2340.
Correct answer: A
I is correct: the selling price in rupees for a 25% margin on sales when cost is Rs 300 → 400. Cost is 75% of sales, so sales=300/0.75. II is incorrect: the number of years for simple interest to equal principal at 8% per year → 12.5. Pt×8/100=P gives t=100/8.
₹11000 earns 10% annual compound interest for two years. Find the interest in rupees.
Correct answer: C
Amount = P × 1.1² = 1.21P. Interest = 0.21 × 11000.
A cuboid measures 6 cm × 4 cm × 3 cm. Find its volume in cubic centimetres.
Correct answer: C
Volume = length × width × height.
A cylinder has radius 7 cm and height 3 cm. Using π = 22/7, find its volume in cubic centimetres.
Correct answer: A
Volume = πr²h = (22/7) × 49 × 3.
Of 100 applications, 15 are online and the rest are offline. What percentage are offline?
Correct answer: C
Offline count = 100 − 15; with total 100, the count equals the percentage.
A help desk resolves 21 cases on Monday, 32 on Tuesday and 43 on Wednesday. What is the three-day total?
Correct answer: D
Add the three daily counts: 21+32+43.
An item marked at ₹600 carries a 15% discount. What is its selling price in rupees?
Correct answer: C
Selling price = 600 × 85/100.
A stockroom dispatches 5/8 of its 144 boxes. How many boxes remain?
Correct answer: D
The remaining fraction is 1 − 5/8 = 3/8. Multiply 144 by 3/8.
Evaluate the two proposed answers. Which are supported? I. 25% of 240 — the numerical result in the stated units: 4. II. the percentage of 180 represented by 45 — the numerical result in the stated units: 33⅓.
Correct answer: A
I is incorrect: 25% of 240 → 60. One quarter of 240 is 60. II is incorrect: the percentage of 180 represented by 45 → 25. 45/180×100=25.
For the smallest whole number of correct answers needed for at least 60% on a 37-question test, identify the numerical result in the stated units.
Correct answer: B
0.60×37=22.2, so at least 23 correct answers are needed.
Evaluate the two proposed answers. Which are supported? I. the pre-tax price in rupees when a 10% tax-inclusive price is Rs 990 — the numerical result in the stated units: 900. II. a 20% rise followed by a 20% fall, expressed as net percentage decrease — the numerical result in the stated units: 19.
Correct answer: D
I is correct: the pre-tax price in rupees when a 10% tax-inclusive price is Rs 990 → 900. 990/1.10=900. II is incorrect: a 20% rise followed by a 20% fall, expressed as net percentage decrease → 4. 1.2×0.8=0.96, so the final value is 4% lower.
For the final value after increasing 500 by 8% and then adding 20, identify the numerical result in the stated units.
Correct answer: B
500×1.08+20=560.
Evaluate the two proposed answers. Which are supported? I. the original price if a 15% discount produces a price of Rs 680 — the numerical result in the stated units: 800. II. the percentage increase needed to reverse a 25% fall — the numerical result in the stated units: 45.
Correct answer: C
I is correct: the original price if a 15% discount produces a price of Rs 680 → 800. The original price is 680/0.85. II is incorrect: the percentage increase needed to reverse a 25% fall → 33⅓. A fall from 100 to 75 needs a rise of 25/75×100.
For the numerator of 0.375 expressed as a fraction in lowest terms, identify the numerical result in the stated units.
Correct answer: B
0.375=375/1000=3/8.
Evaluate the two proposed answers. Which are supported? I. the smallest whole number of correct answers needed for at least 60% on a 37-question test — the numerical result in the stated units: 4. II. the percentage of 180 represented by 45 — the numerical result in the stated units: 33⅓.
Correct answer: D
I is incorrect: the smallest whole number of correct answers needed for at least 60% on a 37-question test → 23. 0.60×37=22.2, so at least 23 correct answers are needed. II is incorrect: the percentage of 180 represented by 45 → 25. 45/180×100=25.
For the pre-tax price in rupees when a 10% tax-inclusive price is Rs 990, identify the numerical result in the stated units.
Correct answer: A
990/1.10=900.
Evaluate the two proposed answers. Which are supported? I. the percentage points between rates of 12% and 17% — the numerical result in the stated units: 5. II. the final value after increasing 500 by 8% and then adding 20 — the numerical result in the stated units: 23.
Correct answer: C
I is correct: the percentage points between rates of 12% and 17% → 5. Percentage-point difference is 17−12, not a relative percentage change. II is incorrect: the final value after increasing 500 by 8% and then adding 20 → 560. 500×1.08+20=560.
Evaluate the two proposed answers. Which are supported? I. a 20% rise followed by a 20% fall, expressed as net percentage decrease — the numerical result in the stated units: 800. II. the denominator of 0.272727... expressed as a fraction in lowest terms — the numerical result in the stated units: 5.
Correct answer: B
I is incorrect: a 20% rise followed by a 20% fall, expressed as net percentage decrease → 4. 1.2×0.8=0.96, so the final value is 4% lower. II is incorrect: the denominator of 0.272727... expressed as a fraction in lowest terms → 11. The recurring decimal is 27/99=3/11.
For the original price if a 15% discount produces a price of Rs 680, identify the numerical result in the stated units.
Correct answer: A
The original price is 680/0.85.
Evaluate the two proposed answers. Which are supported? I. the smallest whole number of correct answers needed for at least 60% on a 37-question test — the numerical result in the stated units: 4. II. the percentage increase needed to reverse a 25% fall — the numerical result in the stated units: 45.
Correct answer: C
I is incorrect: the smallest whole number of correct answers needed for at least 60% on a 37-question test → 23. 0.60×37=22.2, so at least 23 correct answers are needed. II is incorrect: the percentage increase needed to reverse a 25% fall → 33⅓. A fall from 100 to 75 needs a rise of 25/75×100.
Evaluate the two proposed answers. Which are supported? I. the pre-tax price in rupees when a 10% tax-inclusive price is Rs 990 — the numerical result in the stated units: 900. II. the final value after increasing 500 by 8% and then adding 20 — the numerical result in the stated units: 23.
Correct answer: B
I is correct: the pre-tax price in rupees when a 10% tax-inclusive price is Rs 990 → 900. 990/1.10=900. II is incorrect: the final value after increasing 500 by 8% and then adding 20 → 560. 500×1.08+20=560.
For the percentage points between rates of 12% and 17%, identify the numerical result in the stated units.
Correct answer: A
Percentage-point difference is 17−12, not a relative percentage change.
Evaluate the two proposed answers. Which are supported? I. the denominator of 0.272727... expressed as a fraction in lowest terms — the numerical result in the stated units: 11. II. the final value after increasing 500 by 8% and then adding 20 — the numerical result in the stated units: 23.
Correct answer: B
I is correct: the denominator of 0.272727... expressed as a fraction in lowest terms → 11. The recurring decimal is 27/99=3/11. II is incorrect: the final value after increasing 500 by 8% and then adding 20 → 560. 500×1.08+20=560.
For the tax amount at 18% on a pre-tax price of Rs 250, identify the numerical result in the stated units.
Correct answer: A
250×0.18=45.