Test: Decimal - UPSC MCQ

The product of 10.8 and 1.3 is calculated as follows:

• First, multiply the two numbers: 10.8 and 1.3.
• The calculation yields 14.04.
• This result can be understood as:
  • 10.8 represents the first number.
  • 1.3 is the multiplier.

Thus, the final answer is 14.04.

The result of multiplying 80.2 by 5.04 is.

The calculation yields:

• 404.208

This means that 80.2 multiplied by 5.04 equals 404.208.

0.005 ÷ 0.25 can be calculated by dividing 0.005 by 0.25. Here’s how to understand this division:

• When you divide a smaller number by a larger number, the result is usually less than 1.
• In this case, 0.005 is much smaller than 0.25.
• The actual division gives you a decimal number.

The calculation can be simplified:

• 0.005 divided by 0.25 equals 0.02.
• This means that 0.005 is 2% of 0.25.

Thus, the result of the division is 0.02.

To solve the division:

• We need to divide 36.45 by 0.2.
• To simplify this, we can multiply both numbers by 10 to eliminate the decimal in 0.2.
• This changes the equation to 364.5 divided by 2.
• Now, performing the division:
• 364.5 ÷ 2 = 182.25

The final result is 182.25.

The result of dividing 2 by 5 is a simple mathematical calculation. Here’s how to understand it:

• The division of 2 by 5 means you are determining how many times 5 fits into 2.
• Since 5 is larger than 2, the result will be a decimal.
• The answer to the calculation is 0.4.

This means that:

• 2 divided by 5 equals 0.4, which can also be expressed as 40%.

To simplify the expression 1.07 + 2.7 × 1.02 ÷ 1.6, follow the order of operations (BIDMAS: Brackets, Indices, Division, Multiplication, Addition, and Subtraction).

Step 1: First, handle the multiplication and division. 2.7 × 1.02 = 2.754

Step 2: Now, divide the result by 1.6. 2.754 ÷ 1.6 = 1.7225

Step 3: Finally, add 1.07 to the result. 1.07 + 1.7225 = 2.7925

Rounding to two decimal places, we get 2.79.

So, the correct answer is: A: 2.79

1 kilometre (km) is equal to:

• 1000 metres (m)

• 1,000 millilitres (ml) is a unit of volume, not distance.

• 10 decametres (dam) is also a unit of distance but not commonly used.

Thus, the correct conversion is:

• 1 km = 1000 m

1 hg is equal to

• 0.1 kg (which is equivalent to 100 grams)

• 10 kg (which is ten times greater than 1 hg)

• 100 kg (which is one hundred times greater than 1 hg)

• 1000 g (this is also equal to 1 kg)

It is just simple multiplication nothing else
The word mathematics contains 11 words
According to ques each word will take exactly 0.012 second
So to print mathematics it will take 0.012 × 11 seconds that will be equal to 0.132 seconds.
Therefore option C is correct.

To convert metres to kilometres:

• 1 kilometre (km) is equal to 1,000 metres (m).
• To convert 700 metres to kilometres, divide by 1,000:
• 700 m ÷ 1,000 = 0.7 km.

This means:

• 700 metres is equivalent to 0.7 kilometres.

The value of 1.1 x 0.1 can be calculated as follows:

• The multiplication of 1.1 and 0.1 results in 0.11.
• This is because:
• 1.1 can be understood as 1.1 times 1.
• When you multiply by 0.1, you are effectively shifting the decimal point one place to the left.
• Therefore, the answer is 0.11.

1 rupee (Rs. 1) is equal to 100 paise.

So, to convert Rs. 0.08 to paise:

0.08 × 100 = 8 paise

The correct answer is: B: 8 paise

To convert 3 kg and 50 gm into kilograms:

• First, convert grams to kilograms. Since 1 kg is equal to 1000 gm, you can convert:
• 50 gm is equal to 0.050 kg.
• Next, add this to 3 kg:
• 3 kg + 0.050 kg = 3.050 kg.

Therefore, the final answer is 3.050 kg.

6 divided by 0.3 equals:

• The calculation can be thought of as finding out how many times 0.3 fits into 6.
• To simplify:
  • Convert 0.3 to a fraction: 0.3 = 3/10.
  • Dividing by a fraction can be done by multiplying by its reciprocal:
  • So, 6 ÷ 0.3 = 6 × (10/3).
  • This simplifies to 60 ÷ 3 = 20.

Thus, 6 divided by 0.3 equals 20.

The calculation involves dividing two numbers:

213 divided by 2.13 equals 100.

• First, convert both numbers into the same format for easier division.
• The operation can be simplified as follows:
  • 0.213 can be expressed as 213.
  • 0.00213 can be expressed as 2.13.
• Now, perform the division:

This means that: The correct answer is 100.

To solve the expression 1 divided by 0.04, we can follow these simple steps:

• First, we can rewrite 0.04 as a fraction: 0.04 = 4/100.
• This can be simplified to 1/25.
• Now, substituting this back into our expression:
• 1 / 0.04 becomes 1 / (4/100).
• When dividing by a fraction, we multiply by its reciprocal:
• This means we calculate 1 * (100/4).
• This simplifies to 100/4 = 25.

The final answer is 25.

Understanding Decimal Values:

• Decimal numbers can represent values less than one.
• For example:
• 0.0009 is a small value, significantly less than one.
• 0.09 is equivalent to nine hundredths, or 9%.
• 0.9 represents nine tenths, which is very close to one.
• 9 is a whole number and much larger than the others.

To clarify:

• When comparing these values, notice their size relative to one.
• Each decimal point shifts the value, making it smaller or larger.

Thus, the largest number in this set is 0.9.

To find the value of ? in the equation .04 x ? = .000016:

• Start with the equation: .04 x ? = .000016.
• To isolate ?, divide both sides by 0.04:
• Calculation: ?. = .000016 / .04.
• Perform the division: ?. = 0.0004.

The value of ? is 0.0004.

o solve the equation , we will use cross-multiplication.

1. Set up the equation:

2. Cross-multiply:
144 ⋅ x = 14.4 ⋅ 0.144

3. Calculate 14.4⋅0.144:
- First, we can multiply:
14.4 ⋅ 0.144 = 2.0736

4. Now, substitute back into the equation:
144 x = 2.0736

5. Solve for x:
- Divide both sides by 144:
x=2.0736 / 144

6. Calculate the division:
x = 0.0144

Final Answer:
The value of x is 0.0144.