Subjective Questions
Q1:
If 12 men can make a furniture in 9 days, in how many days 18 men make it?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>12 men can make a furniture in 9 days.</p> <p>1man can make it in 9 × 12 days = 108 days.</p> <p>18 men can make the furniture in \(\frac{108}{18}\) days = 6 days</p> <p></p> <p></p> <p></p> <p></p>
Q2:
If 6 pens cost Rs 450, how much would 8 pens cost?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Since 6 pens cost = Rs 450.</p> <p>So, cost of 1 pens = Rs \(\frac{450}{6}\) = Rs 75</p> <p>So, cost of 8 pens = Rs 75×8 = Rs 600</p> <p></p>
Q3:
If 10 Japenese Yen cost = Rs 6.60, change 65,300 Japnese Yen into Nepali rupees.
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>10 Japanese Yen = Rs 6.60</p> <p>1 Japanese Yen = Rs \(\frac{6.60}{10}\)</p> <p>65,300 Japanese Yen = Rs \(\frac{6.60}{10}\)× 65300 = Rs 43,098</p>
Q4:
Look at the following table:
| Number of chairs |
Cost |
| 5 |
Rs 150 |
| 10 |
Rs 300 |
| 6 |
Rs 180 |
| 4 |
Rs 120 |
| x |
? |
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Given information,</p> <p>From the table,</p> <p>Cost of 5 Chairs = Rs 150</p> <p>Cost of 1 Chair = Rs \(\frac{150}{5}\) = Rs 30</p> <p>Cost of 10 Chairs = Rs 30 × 10 = Rs 300</p> <p>Cost of 6 Chairs= Rs 30 × 6 = Rs 180</p> <p>Cost of 4 Chairs = Rs 30 × 4 = Rs120</p> <p>So, Cost of x Chairs = Rs 30 × x = Rs 30x</p> <p></p>
Q5:
If 10 kg Oranges cost Rs 750. What is the cost of 6 kgs Oranges?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>10 Kg Oranges cost Rs 750</p> <p>1 kg Orange cost Rs \(\frac{750}{10}\) = Rs 75</p> <p>6 kg Oranges cost Rs 75×6 = Rs 450</p> <p>∴ 6 kg Oranges cost Rs 450</p>
Q6:
10 Workers can do the work in 18 days. How many workers are required to do the same work in 15 days?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>18 days is required to complete the work for 10 workers.</p> <p>1 day is required to complete the same work for = 10×18 = 180 workers.</p> <p>15 days is required to complete the work = \(\frac{180}{15}\) = 12 workers.</p> <p>∴ 12 workers can do the same work in 15 days.</p> <p></p>
Q7:
A man can travel 112 km with 7 litre of Petrol, How much km, he will travel with 12 litre ?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <table width="160"><tbody><tr><td>Quantity</td> <td>Distance (D)</td> </tr><tr><td>7</td> <td>112</td> </tr><tr><td>12</td> <td>X</td> </tr></tbody></table><p>Here,</p> <p>\(\frac{7}{12}\) = \(\frac{112}{x}\)</p> <p>or, 7x = 112× 12</p> <p>or, x = \(\frac{112×12}{7}\)</p> <p>or, x = 192 km</p> <p>∴ 12 litre can travel 192 km.</p>
Q8:
20 men can do the work in 24 days. How many men is required to do the same work in 15 days?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <table width="148"><tbody><tr><td>Days</td> <td>Total Workers</td> </tr><tr><td>24</td> <td>20</td> </tr><tr><td>x</td> <td>15</td> </tr></tbody></table><p>Here, \(\frac{24}{x}\) = \(\frac{15}{20}\)</p> <p>or, 15 x = 480</p> <p>or, x = \(\frac{480}{15}\)</p> <p>or, x = 32</p> <p>∴ 15 men do the work in 32 days.</p>
Q9:
12 rooms have the capacity of 300 students. If there were 375 students, how many rooms are required?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>300 students required = 12 rooms</p> <p>1 student required = \(\frac{12} {300}\) room</p> <p>375 students required = \(\frac{12}{300}\)× 375 = 15 rooms</p> <p>∴ Required rooms = (15 -12) = 3 rooms.</p> <p>Alternative,</p> <p></p> <table width="211"><tbody><tr><td>Number of Students</td> <td>Class Room</td> </tr><tr><td>300</td> <td>12</td> </tr><tr><td>375</td> <td>x=?</td> </tr></tbody></table><p></p> <p>\(\frac{300}{375}\) = \(\frac{12}{x}\)</p> <p>Or, 300×x = 12×375</p> <p>Or, x = \(\frac{12×375}{300}\)</p> <p>0r, x = 15</p> <p>∴ 15 rooms are required for 375 students.</p>
Q10:
4 Dozen pen costs Rs 576. How many pen costs Rs 228?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Rs 576 = 4 Dozen(48) pens</p> <p>Rs 1 = \(\frac{48}{576}\)pens</p> <p>Rs 228 = \(\frac{48}{576}\)× 228 = 19 pens</p> <p>Alternatively,</p> <table width="207"><tbody><tr><td>Pen's cost</td> <td>Quantity of Pen</td> </tr><tr><td>576</td> <td>4×12 = 48</td> </tr><tr><td>228</td> <td>x=?</td> </tr></tbody></table><p>\(\frac{576}{228}\) = \(\frac{48}{x}\)</p> <p>or, x = \(\frac{48×228}{576}\)</p> <p>or, x = 19 pens</p> <p>∴19 pens cost Rs 228</p>
Q11:
A truck travels 48 km per hour and requires 6 hours to cover the distance. If the speed of a truck decreases by 36 km per hour. How much time is required to cover the distance?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>A truck travels 48km per hour and covers the distance in 6 hours</p> <p>If a truck travels 1 km per hour and covers the distance in 6×48 =288 hours</p> <p>If a truck travels 36 km per hour and cover the distance = \(\frac{288}{36}\) hours = 8 hours</p> <p>∴ 8 hours is required to cover the distance if the speed of truck decreases by 36 km per hour.</p>
Q12:
4 computers chairs cost Rs 1,544, find the cost of 14 computers chairs.
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Since, cost of 4 Computer chairs = Rs 1,544</p> <p>So, cost of 1 Computer chairs = Rs \(\frac{1544}{4}\) = Rs 386</p> <p>And cost of 14 Computer Chairs = Rs 386×14 = Rs 5,404</p>
Q13:
A worker earns Rs 1,850 in 10 days. How much will he earn in 3 days ?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>In 10 days, a worker earns = Rs 1,850</p> <p>In 1 day, a worker earns = Rs \(\frac{1850}{10}\) = Rs 185</p> <p>In 3 days, a worker earns = Rs 185× 3 = Rs 555</p> <p>Hence, he will earn Rs 555 in 3 days.</p>
Q14:
If the cost of 93m cloth is Rs 1395, find the cost of 105m cloth.
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Cost of 93m cloth = Rs 1395</p> <p>Cost of 1m cloth = Rs \(\frac{1395}{93}\) Rs 15</p> <p>Cost of 105m cloth = Rs 15×105 = Rs 1575</p> <p>∴ The Cost of 105m cloth is Rs 1575</p> <p></p>
Q15:
If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Since, 32 men can reap a field in 15 days.</p> <p>1 men can reap a field in 15× 32 = 480 days</p> <p>20 men can reap a field in \(\frac{480}{20}\) = 24 days</p> <p>∴ 20 men can reap a field in 24 days.</p>
Q16:
4 men can finish a piece of work in 6 hours. How many can do it in 4 hours ?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>If, 6 hours is required to finish the work for 4 men</p> <p>1 hour is required to finish the work for 4×6 = 24 men</p> <p>4 hours is required to finish the work for \(\frac{24}{4}\) = 6 men</p> <p>∴ 6 men is required to finish the work in 4 hours.</p>
Q17:
If Rs 625 = 5 Euro, express Rs 8946 into Euro.
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>5 Euro = Rs 625</p> <p>1 Euro = Rs \(\frac{625}{5}\) = Rs 125</p> <p>Rs 8,946 = \(\frac{8,946}{125}\) = 71.568 Euro</p>
Q18:
If the Cost of 5 goats and 2 cows is Rs1,35,000. If the cost of 1 cow is Rs 17,500, What is the Cost of 1 goat?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Cost of 5 goats and 2 Cows = Rs 1,35,000</p> <p>Cost of 1 cow = Rs 17,500</p> <p>Cost of 2 cows = Rs 17,500×2 = Rs 35,000</p> <p>Cost of 5 goats = Total Amount - 2 Cows Amount</p> <p>=Rs 1,35,000 - Rs 35,000</p> <p>= Rs 100,000</p> <p>∴ The Cost of 1 goat = Rs \(\frac{1,00,000}{5}\)</p> <p>= Rs 20,000</p> <p>∴ The Cost of 1 goat = Rs 20,000</p>
Q19:
If 5 computer mouse cost Rs 1250, How much would 10 computer mouse cost ?
Type: Short
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Since, Cost of 5 computer mouse = Rs1250.</p> <p>So, Cost of 1 computer mouse = Rs \(\frac{1250}{5}\) = Rs 250</p> <p>And Cost of 10 computer mouse = Rs 250×10 = Rs 2,500</p> <p>∴ The cost of 10 computer mouse is Rs 2,500</p>
Q20:
If 20 workers can do the work in 15 days, how much workers should be added to finish the work in 10 days?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>Since 15 days is required to finish the work for 20 workers</p> <p>1 day is required to finish the work = 20 \(\times\)15 = 300</p> <p>10 days is required to finish the work \(\frac{20\times15}{10}\) = \(\frac{300}{10}\) for 30 workers</p> <p>Hence, 30 workers should be added to finish the work in 10 days.</p>
Q21:
The cost of 3 chairs and 4 Tables is Rs 7,540. If the price of a chair is Rs 220, find the price of the Table?
Type: Long
Difficulty: Easy
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Answer: <p>Solution:</p> <p>The price of 3 chairs and 4 tables = Rs 7,540</p> <p>The price of 1 chair = Rs 220</p> <p>The price of 3 chairs = Rs 220\(\times\)3 = Rs 660</p> <p>Now,</p> <p>Price of 4 tables = Total amount - Price of 3 chairs</p> <p>= Rs 7540 - Rs 660</p> <p>= Rs 6880</p> <p>Hence, Price of 1 table = \(\frac{Rs 6880}{4}\)</p> <p>= Rs 1720</p>
