Test: Unit Conversions - SAT MCQ

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 

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.

Concept: 

1 m = 100 cm

1 cm = 10 mm 

1 km = 1000 m

1 m = 10 dm 

mm means Millimetre, cm means Centimeter, m means Meter

Calculation:

change all units into meters 

5500 cm 50 mm =  55 .05 m

500 dm 30 cm  = 50 .3 m

55000 mm = 55 m

50 m = 50 m

Ascending Order:

 50 m, 500 dm 30 cm, 55000 mm, 5500 cm 50 mm

Concept used:

1 m = 100 cm

Solution:

163 cm + 161 cm + 156 cm + 159 cm + 162 cm

⇒ 801 cm

⇒ 8 m 1 cm

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. 

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.

Given:

Lenght of a brick = 6 inches

Width of a brick = 3 inches

Height of a brick = 3 inches

Height of the wall = 3.5 meters

Calculation:

Height of a brick = 3 inches

We know, 1 meter = 39.3701 inches ≈ 39.4 inches

Height of the wall = 3.5 meters = 3.5 × 39.4 = 137.9 inches

Total rows of bricks required to create the wall = 137.9/3 = 45.97 ≈ 46

∴ A total of 46 rows of bricks will be required to create a 3.5-meter wall.

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.

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

Time allotted =

∴ The time allotted is 75 minutes.

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.

Given:

Laddu brought = 2 kg 500 g

Jalebi brought = 3 kg 250 g

Rasgulla brought = 4 kg

Box capacity = 750 g

Formula used:

1 kg = 1000 g

Calculation:

Total amount of Laddu = 2 kg 500 g = (2 × 1000) + 500 = 2500 g

Total amount of Jalebi = 3 kg 250 g = (3 × 1000) + 250 = 3250 g

Total amount of Rasgulla = 4 kg = (4 × 1000) = 4000 g

Total amount = (2500 + 3250 + 4000) = 9750 g

Maximum capacity of a box = 750 g

Total box required = 9750/750 = 13

∴ Total 13 boxes required to pack all the items.

Concept used:

1 gram = 10 decigram

1 Decagram = 100 decigram

1 Hectogram = 1000 decigram

1 kilogram = 10000 decigram

Solution:

1000 decigram = 1 Hectogram 

1559 decigram = (1/1000) × 1559 = 1.559 Hectogram 

Given:

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.

Calculation:

Sunil travel 250km from A to B.

Total time he took = 9 Hrs

Rates of hiring car are:

⇒ 8hr up to 80Km = Rs.800

Per extra Hour = Rs.100

Per extra Km = Rs.10

Sunil' s total distance is 250Km.

For first 80km he pay = Rs.800----(i)

Left (250 - 80 = 170Km)

He pay according to Km = 170 × 10 = 1700---(ii)

But, He use extra 1hr for this he pay = Rs.100-----(iii)

Total money he pay = Rs.800 + Rs.1700 + Rs.100 = Rs.2600

In complete travelling he pay = Rs.2600.

∴ Option b is correct.

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.

Given:

The capacity of the bucket to hold milk  =  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 = 37 x 1000 ml + (1/4) x 1000 ml = 37250 ml

Number of small that can be filled = (37250/250) = 149 bottles