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All questions of Unit Conversions for Class 10 Exam
Vaishnavi has only Rs. 5, Rs. 10 and Rs. 20 coins in her collection. The number of Rs. 5 coins is thrice that of Rs. 10 coins and number of Rs. 20 coins is half of that of Rs. 10 coins. If the collection contains 7 number of Rs. 20 coins, then how much amount she will have in total?- a)Rs. 430
- b)Rs. 590
- c)Rs. 490
- d)Rs. 470
Correct answer is option 'C'. Can you explain this answer?
Vaishnavi has only Rs. 5, Rs. 10 and Rs. 20 coins in her collection. The number of Rs. 5 coins is thrice that of Rs. 10 coins and number of Rs. 20 coins is half of that of Rs. 10 coins. If the collection contains 7 number of Rs. 20 coins, then how much amount she will have in total?
a)
Rs. 430
b)
Rs. 590
c)
Rs. 490
d)
Rs. 470
 | Orion Classes answered |
Given:
There are three types of coins Rs. 5, Rs. 10 and Rs. 20 coins
Total number of Rs. 20 coins = 7
Calculation:
Total number of Rs. 20 coins = 7
∴ The total amount of Rs. 20 coins = 7 × 20 = Rs. 140
The number of Rs. 20 coins are half of that of Rs. 10 coins.
Total number of Rs. 10 coins = 7 × 2 = 14
∴ Total amount of Rs. 10 coins = 14 × 10 = Rs. 140
The number of Rs. 5 coins is thrice that of Rs. 10 coins.
Total number of Rs. 5 coins = 14 × 3 = 42
∴ Total amount of Rs. 5 coins = 42 × 5 = Rs. 210
Total amount of the Rs. 5, Rs. 10 and Rs. 20 coins = (210 + 140 + 140) = Rs. 490
∴ Vaishnavi will have in total of Rs. 490.
In which of the following have the lengths been arranged in increasing order?- a)5500 cm 50 mm, 500 dm 30 cm, 55000 mm, 50 m
- b)50 m, 5500 cm 50 mm, 55000 mm, 500 dm 30 cm
- c)55000 mm, 500 dm 30 cm, 5500 cm 50 mm, 50 m
- d)50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
Correct answer is option 'D'. Can you explain this answer?
In which of the following have the lengths been arranged in increasing order?
a)
5500 cm 50 mm, 500 dm 30 cm, 55000 mm, 50 m
b)
50 m, 5500 cm 50 mm, 55000 mm, 500 dm 30 cm
c)
55000 mm, 500 dm 30 cm, 5500 cm 50 mm, 50 m
d)
50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
 | Jade Johnson answered |
Lengths arranged in increasing order:
50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
Explanation:
To arrange the lengths in increasing order, we need to convert all the measurements to the same unit. Let's convert each measurement to centimeters.
Given:
- 5500 cm 50 mm
- 500 dm 30 cm
- 55000 mm
- 50 m
Convert 5500 cm 50 mm to cm:
1 cm = 10 mm
So, 50 mm = 50/10 = 5 cm
Therefore, 5500 cm 50 mm = 5500 cm + 5 cm = 5505 cm
Convert 500 dm 30 cm to cm:
1 dm = 10 cm
So, 500 dm = 500 * 10 = 5000 cm
Therefore, 500 dm 30 cm = 5000 cm + 30 cm = 5030 cm
Convert 55000 mm to cm:
1 cm = 10 mm
So, 55000 mm = 55000/10 = 5500 cm
Convert 50 m to cm:
1 m = 100 cm
So, 50 m = 50 * 100 = 5000 cm
Now, let's arrange the lengths in increasing order:
- 5030 cm
- 5500 cm
- 5505 cm
- 5000 cm
Final arrangement:
50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
Therefore, the correct answer is option 'D'.
50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
Explanation:
To arrange the lengths in increasing order, we need to convert all the measurements to the same unit. Let's convert each measurement to centimeters.
Given:
- 5500 cm 50 mm
- 500 dm 30 cm
- 55000 mm
- 50 m
Convert 5500 cm 50 mm to cm:
1 cm = 10 mm
So, 50 mm = 50/10 = 5 cm
Therefore, 5500 cm 50 mm = 5500 cm + 5 cm = 5505 cm
Convert 500 dm 30 cm to cm:
1 dm = 10 cm
So, 500 dm = 500 * 10 = 5000 cm
Therefore, 500 dm 30 cm = 5000 cm + 30 cm = 5030 cm
Convert 55000 mm to cm:
1 cm = 10 mm
So, 55000 mm = 55000/10 = 5500 cm
Convert 50 m to cm:
1 m = 100 cm
So, 50 m = 50 * 100 = 5000 cm
Now, let's arrange the lengths in increasing order:
- 5030 cm
- 5500 cm
- 5505 cm
- 5000 cm
Final arrangement:
50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm
Therefore, the correct answer is option 'D'.
Vasu has a bucket that can hold 
litres of milk. He wants to fill small bottles of capacity 250 mL with this milk to sell it in the market. How many bottles can he fill with this milk?- a)103
- b)118
- c)125
- d)149
Correct answer is option 'D'. Can you explain this answer?
Vasu has a bucket that can hold litres of milk. He wants to fill small bottles of capacity 250 mL with this milk to sell it in the market. How many bottles can he fill with this milk?
litres of milk. He wants to fill small bottles of capacity 250 mL with this milk to sell it in the market. How many bottles can he fill with this milk?a)
103
b)
118
c)
125
d)
149
 | Avinash Sharma answered |
Given:
The capacity of the bucket to hold milk = 
litre
litre The capacity of small bottles = 250 ml
Concept:
1 litre = 1000 ml = 4 x 250 ml
Calculation:
Capacity of milk bucket can hold = 
litre
litre⇒ 
litre = 37 x 1000 ml + (1/4) x 1000 ml = 37250 ml
litre = 37 x 1000 ml + (1/4) x 1000 ml = 37250 mlNumber of small that can be filled = (37250/250) = 149 bottles
Neeraja studies from 7:00 PM to 8:15 PM then the time allotted for her studies is (in minutes)- a)45
- b)60
- c)75
- d)115
Correct answer is option 'C'. Can you explain this answer?
Neeraja studies from 7:00 PM to 8:15 PM then the time allotted for her studies is (in minutes)
a)
45
b)
60
c)
75
d)
115
 | Rajeev Kumar answered |
Formula used:
Time allotted = D × 60
where "D" is the time difference in hours.
Calculation:
D = 08:15 PM - 07:00 PM = 1 hr 15 min or 
hours
hoursTime allotted =
∴ The time allotted is 75 minutes.
Radha reads a book daily for approximately 4 hours. She took 3 hours and 50 minutes to read the today. How many seconds did she read this book?- a)13800 seconds
- b)12800 second
- c)12480 seconds
- d)11400 seconds
Correct answer is option 'A'. Can you explain this answer?
Radha reads a book daily for approximately 4 hours. She took 3 hours and 50 minutes to read the today. How many seconds did she read this book?
a)
13800 seconds
b)
12800 second
c)
12480 seconds
d)
11400 seconds
| | Rajeev Kumar answered |
Given:
Time taken = 3 hours 50 minutes
Concept used:
1 hour = 60 minutes
1 minute = 60 seconds
Solution:
3 hours = 3 x 60 x 60 = 10800 seconds
50 minutes = 50 x 60 = 3000 seconds
Total time in seconds = 10800 + 3000 = 13800 seconds
Hence, the correct option is 1.
The height of five persons is given below:163 cm, 161 cm, 156 cm, 159 cm, 162 cm.What is the sum of height in meters?- a)7 m 10 cm
- b)8 m 1 cm
- c)8 m 10 cm
- d)9 m 1 cm
Correct answer is option 'B'. Can you explain this answer?
The height of five persons is given below:
163 cm, 161 cm, 156 cm, 159 cm, 162 cm.
What is the sum of height in meters?
a)
7 m 10 cm
b)
8 m 1 cm
c)
8 m 10 cm
d)
9 m 1 cm
 | Pathways Academy answered |
Concept used:
1 m = 100 cm
Solution:
163 cm + 161 cm + 156 cm + 159 cm + 162 cm
⇒ 801 cm
⇒ 8 m 1 cm
1 kilo liter in milliliters- a)10,00,000
- b)1,00,000
- c)10,000
- d)1,000
Correct answer is option 'A'. Can you explain this answer?
1 kilo liter in milliliters
a)
10,00,000
b)
1,00,000
c)
10,000
d)
1,000
| | Pathways Academy answered |
Formula used:
1 kilo = 1000
1 liter = 1000 mililiters
Calculation:
1-kilo liter = 1 kilo × 1 liter
⇒ 1-kilo liter = 1000 × 1000 mililiters
⇒ 1-kilo liter = 10,00,000 mililiters.
∴ The answer is 10,00,000.
If a water tank has 500-litre water, then how many maximum pots, of equal capacity of 250 ml, can be filled from the water tank?- a)200
- b)600
- c)2500
- d)2000
Correct answer is option 'D'. Can you explain this answer?
If a water tank has 500-litre water, then how many maximum pots, of equal capacity of 250 ml, can be filled from the water tank?
a)
200
b)
600
c)
2500
d)
2000
| | Rajeev Kumar answered |
Given:
The capacity of water tank = 500 litre
The capacity of a pot = 250 ml
Formula used:
1 litre = 1000 ml
Calculation:
The capacity of water tank = 500 litre
= 500 × 1000 = 500000 ml
Capacity of a pot = 250 ml
Required pots = 500000/250 = 2000
∴ Maximum 2000 pots can be filled from the water tank.
How many feet there are in 5 meters? (Approximately)- a)15.50
- b)15.90
- c)16.40
- d)16.80
Correct answer is option 'C'. Can you explain this answer?
How many feet there are in 5 meters? (Approximately)
a)
15.50
b)
15.90
c)
16.40
d)
16.80
| | Pathways Academy answered |
Given:
Covert 5 meters in feet.
Concept used:
⇒ 1 metre = 3.280 feet
Calculation:
Here,
⇒ 5 metres
⇒ 5 × 3.280 feet = 16.40 feet
∴ Option 3 is correct.
1 kilo liter in milliliters- a)10,00,000
- b)1,00,000
- c)10,000
- d)1,000
Correct answer is option 'A'. Can you explain this answer?
1 kilo liter in milliliters
a)
10,00,000
b)
1,00,000
c)
10,000
d)
1,000
| | Pathways Academy answered |
Formula used:
1 kilo = 1000
1 liter = 1000 mililiters
Calculation:
1-kilo liter = 1 kilo × 1 liter
⇒ 1-kilo liter = 1000 × 1000 mililiters
⇒ 1-kilo liter = 10,00,000 mililiters.
∴ The answer is 10,00,000.
If 1 m2 = x mm2, then the value of x is- a)10000
- b)1000
- c)100000
- d)1000000
Correct answer is option 'D'. Can you explain this answer?
If 1 m2 = x mm2, then the value of x is
a)
10000
b)
1000
c)
100000
d)
1000000
| | Rajeev Kumar answered |
Calculation:
1 m = 1000 mm
1 m2 = 1 m × 1 m = 1000 mm × 1000 mm = 10,00,000 mm2
∴ 1 m2 = 1,000,000 mm2
Anu brought 2 kg 500 g Laddu, 3 kg 250 g Jalebi and 4 kg Rasgullas from a sweet shop. The shopkeeper packed everything together in boxes with a maximum capacity of 750 g. How many boxes required to pack all the items?- a)15
- b)13
- c)14
- d)12
Correct answer is option 'B'. Can you explain this answer?
Anu brought 2 kg 500 g Laddu, 3 kg 250 g Jalebi and 4 kg Rasgullas from a sweet shop. The shopkeeper packed everything together in boxes with a maximum capacity of 750 g. How many boxes required to pack all the items?
a)
15
b)
13
c)
14
d)
12
| | Riley Hughes answered |
Problem:
Anu brought 2 kg 500 g Laddu, 3 kg 250 g Jalebi, and 4 kg Rasgullas from a sweet shop. The shopkeeper packed everything together in boxes with a maximum capacity of 750 g. How many boxes are required to pack all the items?
Solution:
To solve this problem, we need to convert all the weights into the same unit. Let's convert all the weights into grams.
1 kg = 1000 g
2 kg 500 g = 2 * 1000 g + 500 g = 2500 g
3 kg 250 g = 3 * 1000 g + 250 g = 3250 g
4 kg = 4 * 1000 g = 4000 g
Now, let's calculate the total weight of all the items.
Total weight = 2500 g + 3250 g + 4000 g
= 9750 g
Next, we need to find out how many boxes are required to pack all the items. Since each box has a maximum capacity of 750 g, we divide the total weight by the capacity of each box.
Number of boxes required = Total weight / Capacity of each box
= 9750 g / 750 g
To find the quotient and remainder, we can use long division.
```
13.0
---------
750 | 9750
7500
----
2250
2250
----
0
```
Since the remainder is 0, it means that the total weight is evenly divisible by the capacity of each box. Therefore, the number of boxes required is 13.
Hence, the correct answer is option B) 13.
Anu brought 2 kg 500 g Laddu, 3 kg 250 g Jalebi, and 4 kg Rasgullas from a sweet shop. The shopkeeper packed everything together in boxes with a maximum capacity of 750 g. How many boxes are required to pack all the items?
Solution:
To solve this problem, we need to convert all the weights into the same unit. Let's convert all the weights into grams.
1 kg = 1000 g
2 kg 500 g = 2 * 1000 g + 500 g = 2500 g
3 kg 250 g = 3 * 1000 g + 250 g = 3250 g
4 kg = 4 * 1000 g = 4000 g
Now, let's calculate the total weight of all the items.
Total weight = 2500 g + 3250 g + 4000 g
= 9750 g
Next, we need to find out how many boxes are required to pack all the items. Since each box has a maximum capacity of 750 g, we divide the total weight by the capacity of each box.
Number of boxes required = Total weight / Capacity of each box
= 9750 g / 750 g
To find the quotient and remainder, we can use long division.
```
13.0
---------
750 | 9750
7500
----
2250
2250
----
0
```
Since the remainder is 0, it means that the total weight is evenly divisible by the capacity of each box. Therefore, the number of boxes required is 13.
Hence, the correct answer is option B) 13.
Rae and Reena have arranged the bricks horizontally one above the other. If the length, width and height of each brick are 6 inches, 3 inches, and 3 inches, respectively then how many rows of the bricks will be required to create a 3.5 meter wall?- a)46
- b)58
- c)42
- d)64
Correct answer is option 'A'. Can you explain this answer?
Rae and Reena have arranged the bricks horizontally one above the other. If the length, width and height of each brick are 6 inches, 3 inches, and 3 inches, respectively then how many rows of the bricks will be required to create a 3.5 meter wall?
a)
46
b)
58
c)
42
d)
64
 | Harper Hall answered |
To find out how many rows of bricks are required to create a 3.5 meter wall, we need to convert the height of the wall from meters to inches.
1 meter = 39.37 inches
So, 3.5 meters = 3.5 * 39.37 = 137.795 inches
Next, we need to calculate how many bricks can fit in one row.
The length of each brick is 6 inches. To calculate how many bricks can fit in one row, we divide the length of the wall by the length of each brick.
137.795 inches / 6 inches = 22.9658
Since we cannot have a fraction of a brick, we round up to the nearest whole number.
So, we can fit 23 bricks in one row.
Now, we need to calculate how many rows of bricks are required to create the wall.
The height of each brick is 3 inches. To calculate how many rows are required, we divide the height of the wall by the height of each brick.
137.795 inches / 3 inches = 45.9317
Again, we round up to the nearest whole number.
So, we need 46 rows of bricks to create the wall.
Therefore, the correct answer is option A) 46.
1 meter = 39.37 inches
So, 3.5 meters = 3.5 * 39.37 = 137.795 inches
Next, we need to calculate how many bricks can fit in one row.
The length of each brick is 6 inches. To calculate how many bricks can fit in one row, we divide the length of the wall by the length of each brick.
137.795 inches / 6 inches = 22.9658
Since we cannot have a fraction of a brick, we round up to the nearest whole number.
So, we can fit 23 bricks in one row.
Now, we need to calculate how many rows of bricks are required to create the wall.
The height of each brick is 3 inches. To calculate how many rows are required, we divide the height of the wall by the height of each brick.
137.795 inches / 3 inches = 45.9317
Again, we round up to the nearest whole number.
So, we need 46 rows of bricks to create the wall.
Therefore, the correct answer is option A) 46.
1559 Decigram is equal to-- a)15.59 gram
- b)155.9 Dekagram
- c)0.01559 Kilogram
- d)1.559 Hectogram
Correct answer is option 'D'. Can you explain this answer?
1559 Decigram is equal to-
a)
15.59 gram
b)
155.9 Dekagram
c)
0.01559 Kilogram
d)
1.559 Hectogram
 | Leah Russell answered |
Conversion Factors:
- 1 decigram (dg) = 0.1 gram (g)
- 1 gram (g) = 0.01 kilogram (kg)
- 1 kilogram (kg) = 10 hectogram (hg)
Solution:
To convert 1559 decigrams to hectograms, we need to use the conversion factors mentioned above.
Step 1: Convert decigrams to grams
To convert decigrams to grams, we use the conversion factor: 1 decigram (dg) = 0.1 gram (g).
1559 decigrams * (0.1 gram / 1 decigram) = 155.9 grams
Step 2: Convert grams to kilograms
To convert grams to kilograms, we use the conversion factor: 1 gram (g) = 0.01 kilogram (kg).
155.9 grams * (0.01 kilogram / 1 gram) = 1.559 kilograms
Step 3: Convert kilograms to hectograms
To convert kilograms to hectograms, we use the conversion factor: 1 kilogram (kg) = 10 hectogram (hg).
1.559 kilograms * (10 hectogram / 1 kilogram) = 15.59 hectograms
Therefore, 1559 decigrams is equal to 15.59 hectograms.
- 1 decigram (dg) = 0.1 gram (g)
- 1 gram (g) = 0.01 kilogram (kg)
- 1 kilogram (kg) = 10 hectogram (hg)
Solution:
To convert 1559 decigrams to hectograms, we need to use the conversion factors mentioned above.
Step 1: Convert decigrams to grams
To convert decigrams to grams, we use the conversion factor: 1 decigram (dg) = 0.1 gram (g).
1559 decigrams * (0.1 gram / 1 decigram) = 155.9 grams
Step 2: Convert grams to kilograms
To convert grams to kilograms, we use the conversion factor: 1 gram (g) = 0.01 kilogram (kg).
155.9 grams * (0.01 kilogram / 1 gram) = 1.559 kilograms
Step 3: Convert kilograms to hectograms
To convert kilograms to hectograms, we use the conversion factor: 1 kilogram (kg) = 10 hectogram (hg).
1.559 kilograms * (10 hectogram / 1 kilogram) = 15.59 hectograms
Therefore, 1559 decigrams is equal to 15.59 hectograms.
The rates of hiring a rental car are as follows:Rs. 800 per 8 hours up to 80 kmRs. 100 per extra hour and Rs. 10 per extra km. Sunil travels from city A to B which is 250 km. He starts at 7:00 am and reaches at 4:00 pm on the same day How much money he has to pay?- a)Rs. 2,500
- b)Rs. 2,600
- c)Rs. 2,700
- d)Rs. 2,400
Correct answer is option 'B'. Can you explain this answer?
The rates of hiring a rental car are as follows:
Rs. 800 per 8 hours up to 80 km
Rs. 100 per extra hour and Rs. 10 per extra km.
Sunil travels from city A to B which is 250 km. He starts at 7:00 am and reaches at 4:00 pm on the same day
How much money he has to pay?
a)
Rs. 2,500
b)
Rs. 2,600
c)
Rs. 2,700
d)
Rs. 2,400
 | William Jenkins answered |
To calculate the amount of money Sunil has to pay for his car rental, we need to consider the distance he traveled and the duration of his trip.
1. Calculate the base fare:
- The base fare for up to 80 km or 8 hours is Rs. 800.
- Since Sunil traveled 250 km, we need to calculate the additional distance charges. The additional distance is 250 km - 80 km = 170 km.
- The additional distance charges are Rs. 10 per km, so the additional distance charges amount to 170 km * Rs. 10 = Rs. 1700.
2. Calculate the additional time charges:
- Sunil started at 7:00 am and reached at 4:00 pm, which means he traveled for a total of 9 hours.
- The base fare covers up to 8 hours, so Sunil traveled for an additional 1 hour.
- The additional time charges are Rs. 100 per hour, so the additional time charges amount to 1 hour * Rs. 100 = Rs. 100.
3. Calculate the total fare:
- The base fare is Rs. 800.
- The additional distance charges are Rs. 1700.
- The additional time charges are Rs. 100.
- Therefore, the total fare is Rs. 800 + Rs. 1700 + Rs. 100 = Rs. 2600.
Therefore, Sunil has to pay Rs. 2600 for his car rental. Hence, the correct answer is option 'B'.
1. Calculate the base fare:
- The base fare for up to 80 km or 8 hours is Rs. 800.
- Since Sunil traveled 250 km, we need to calculate the additional distance charges. The additional distance is 250 km - 80 km = 170 km.
- The additional distance charges are Rs. 10 per km, so the additional distance charges amount to 170 km * Rs. 10 = Rs. 1700.
2. Calculate the additional time charges:
- Sunil started at 7:00 am and reached at 4:00 pm, which means he traveled for a total of 9 hours.
- The base fare covers up to 8 hours, so Sunil traveled for an additional 1 hour.
- The additional time charges are Rs. 100 per hour, so the additional time charges amount to 1 hour * Rs. 100 = Rs. 100.
3. Calculate the total fare:
- The base fare is Rs. 800.
- The additional distance charges are Rs. 1700.
- The additional time charges are Rs. 100.
- Therefore, the total fare is Rs. 800 + Rs. 1700 + Rs. 100 = Rs. 2600.
Therefore, Sunil has to pay Rs. 2600 for his car rental. Hence, the correct answer is option 'B'.
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