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All questions of Decimals for CLAT Exam

Write 2 rupees and 5 paise as decimal.
  • a)
    Rs 2.05
  • b)
    Rs 2.005
  • c)
    Rs 2.5
  • d)
    Rs 2
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 6 answered
Converting 2 rupees and 5 paise to decimal

- To convert 2 rupees and 5 paise to decimal, we need to consider that 1 rupee is equal to 100 paise.
- Therefore, 2 rupees is equal to 200 paise.
- Adding 200 paise to 5 paise gives us a total of 205 paise.
- To convert paise to rupees, we divide the total paise by 100.
- Therefore, 205 paise is equal to 2.05 rupees.
- Hence, 2 rupees and 5 paise can be written as Rs 2.05 in decimal form.

If then value of   is
  • a)
    x/10
  • b)
    10x
  • c)
    100x                         
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?

Naroj Boda answered
The correct option is A.
As it does not follows the pattern in the other given options.
It is clear that the third alphabet in each word is the first in when rearranged.but not in case of A.

A printer takes 0.012 seconds to print one alphabet. How long will he take to print the word ‘mathematics’?
  • a)
    0.12 seconds            
  • b)
    0.120 seconds
  • c)
    0.132 seconds                       
  • d)
    1.32 seconds
Correct answer is option 'C'. Can you explain this answer?

Krishan Kumar answered
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.

 = .01
  • a)
    .0009                                   
  • b)
    .09
  • c)
    .9                             
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
To understand why the correct answer is option 'C' (.9), we need to convert both .009 and .01 to fractions and then compare them.

Converting .009 to a fraction:
Since the number 9 is in the thousandths place, we can write it as 9/1000. Therefore, .009 can be represented as 9/1000.

Converting .01 to a fraction:
Since the number 1 is in the hundredths place, we can write it as 1/100. Therefore, .01 can be represented as 1/100.

Now we can compare the two fractions:

9/1000 vs 1/100

To compare fractions, we need to have the same denominator. In this case, we can multiply the numerator and denominator of 1/100 by 10 to make the denominator the same as 1000:

(1/100) * 10 = 10/1000

Now we can compare:

9/1000 vs 10/1000

Since the denominators are the same, we can compare the numerators:

9 < />

Since 9 is less than 10, we can conclude that .009 is less than .01. Therefore, the correct answer is option 'C' (.9).

0.005 ÷ 0.25 is equal to
  • a)
    0.2                           
  • b)
    0.02
  • c)
    2.02                         
  • d)
    0.002
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
**Problem Analysis**

To solve this problem, we need to convert the given decimal numbers into fractions and then compare them.

**Solution**

To convert 0.005 into a fraction, we can write it as 5/1000.

To convert 0.25 into a fraction, we can write it as 25/100.

Now, we need to compare these fractions.

**Comparing Fractions**

To compare fractions, we can cross-multiply.

For fraction 5/1000 and fraction 25/100:

5 * 100 = 500
25 * 1000 = 25000

Since 500 is less than 25000, we can conclude that 5/1000 is less than 25/100.

Therefore, 0.005 is less than 0.25.

**Finding the Correct Answer**

From the given options, we need to find the option that represents a number less than 0.25.

- Option A: 0.2 = 2/10 = 20/100. Since 20/100 is greater than 25/100, option A is incorrect.
- Option B: 0.02 = 2/100. Since 2/100 is less than 25/100, option B is correct.
- Option C: 2.02 = 202/100. Since 202/100 is greater than 25/100, option C is incorrect.
- Option D: 0.002 = 2/1000. Since 2/1000 is less than 25/100, option D is incorrect.

Therefore, the correct answer is option B: 0.02.

**Conclusion**

The decimal number 0.005 can be written as 5/1000 and the decimal number 0.25 can be written as 25/100. By comparing the fractions, we can determine that 5/1000 is less than 25/100. The correct answer from the given options is option B: 0.02, which is less than 0.25.

10.8 X 1.3 is equal to
  • a)
    1.404                                   
  • b)
    14.04
  • c)
    140.4                                   
  • d)
    1404
Correct answer is option 'B'. Can you explain this answer?

Multiply those numbers first without considering the points.then count the number of digits after point of both the numbers.it is 2.now place your point from right counting 2 numbers.

36.45 ÷ 0.2 is equal to
  • a)
    182.25                     
  • b)
    1822.5
  • c)
    18.225                      
  • d)
    1.8225
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
To calculate the value of 36.45 multiplied by 0.2, we can use the formula for multiplication.

1. Formula: Multiply the two numbers together.
- 36.45 × 0.2 = 7.29

2. Calculation:
- 36.45 × 0.2 = 7.29

So, the answer is 7.29.

However, none of the given options match the calculated value of 7.29. Therefore, it seems that there may be an error in the options provided.

If we ignore the options given and focus solely on the calculation, the correct answer is indeed 7.29.

In conclusion, the correct answer to the equation 36.45 × 0.2 is 7.29.

.04 x ? = .000016
  • a)
    0.0004                     
  • b)
    0.04
  • c)
    4                              
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Krishan Kumar answered
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.

Express 88 meters as kilometers using decimals.
  • a)
    0.88 km
  • b)
    0.088 km
  • c)
    8.8 km
  • d)
    0.008 km
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
To convert meters to kilometers, divide the number of meters by 1,000, since 1 kilometer equals 1,000 meters.
For 88 meters: 88/1000 = 0.088 kilometers.
Thus, 88 meters is equivalent to 0.088 kilometers.
The correct answer is option B: 0.088 km.

Find the sum of the following:0.015 + 4.25 + 12.3
  • a)
    16.565
  • b)
    15.065
  • c)
    16.595
  • d)
    15.595
Correct answer is option 'A'. Can you explain this answer?

Charvi Pillai answered
Understanding the Problem
To find the sum of the numbers 0.015, 4.25, and 12.3, we need to align the decimal points for easier addition.
Aligning the Numbers
- 0.015
- 4.250
- 12.300
Notice that we can add zeros to the right of the decimal to make the numbers align properly.
Adding the Numbers
Now we can add the numbers column by column:
- Start from the rightmost column (thousandths place):
- 5 + 0 + 0 = 5
- Move to the hundredths place:
- 1 + 5 + 0 = 6
- Next, the tenths place:
- 0 + 2 + 3 = 5
- Finally, the units place:
- 0 + 4 + 12 = 16 (carry over 1)
Thus, we get:
Final Calculation
So, the total sum is:
- 16.565
Conclusion
Based on our calculations, the correct answer is option 'A': 16.565. This shows that the summation of the three numbers is accurately represented in the answer options provided.

0.213 ÷ 0.00213 = ?
  • a)
    1                             
  • b)
    10
  • c)
    100                          
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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.

Value of 1.1 x 0.1 is
  • a)
    11.1                         
  • b)
    0.11
  • c)
    110                          
  • d)
    0.01
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Calculation of 1.1 x 0.1

Multiplying decimals can be tricky, but it's easy if we follow some simple steps. To calculate 1.1 x 0.1, we can follow the below steps:

Step 1: We need to multiply the ones place of each number. In this case, the ones place of both numbers is zero.

Step 2: We need to multiply the tenths place of each number. In this case, the tenths place of 1.1 is 1 and the tenths place of 0.1 is 0. So, 1 x 0 = 0.

Step 3: Now, we need to add the products obtained in step 1 and step 2. So, 0 + 0 = 0.

Therefore, the value of 1.1 x 0.1 is 0.11.

Explanation of the answer options

a) 11.1: This is incorrect because the product of 1.1 x 0.1 is less than both the numbers.

b) 0.11: This is the correct answer as we have calculated above.

c) 110: This is incorrect because if we multiply 1.1 and 0.1 without considering the decimal point, then the product will be 110. But since we are dealing with decimals, the product is much smaller.

d) 0.01: This is incorrect because if we multiply the ones place of each number, we get 1 x 0 = 0. So, the product cannot be 0.01.

What is the decimal form of 12/100?
  • a)
    1.2
  • b)
    12.0
  • c)
    0.12
  • d)
    0.012
Correct answer is option 'C'. Can you explain this answer?

Charvi Chauhan answered
Understanding Fractions and Decimals
To convert a fraction into decimal form, you divide the numerator (top number) by the denominator (bottom number). In this case, we have:
- Numerator: 12
- Denominator: 100
Calculating the Decimal
To find the decimal form of 12/100, perform the division:
- 12 divided by 100 equals 0.12.
This means:
- When you divide 12 by 100, you get 0.12.
Why Option C is Correct
Let’s examine the answer choices:
- a) 1.2 – This is incorrect because it suggests that 12/100 is equal to twelve-tenths, which is much larger than the fraction.
- b) 12.0 – This option is incorrect because it represents the whole number twelve, which does not correspond to the fraction 12/100.
- c) 0.12 – This is correct! As calculated, 12/100 equals 0.12.
- d) 0.012 – This is also incorrect because it suggests a much smaller value, representing twelve-thousandths instead of twelve-hundredths.
Conclusion
Therefore, the decimal form of 12/100 is indeed:
- 0.12 (Option C).
This conversion is useful in many real-life applications, such as understanding percentages and measurements, making it an essential skill in mathematics.

6 ÷  0.3 equals
  • a)
    2                             
  • b)
    0.2
  • c)
    20                            
  • d)
    200
Correct answer is option 'C'. Can you explain this answer?

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.

1 hg is equal to
  • a)
    0.1 kg                                  
  • b)
    10 kg
  • c)
    100 kg                      
  • d)
    1000 g
Correct answer is option 'A'. Can you explain this answer?

Grams to hectograms weight units conversion table shows the most common values for the quick reference. Alternatively, you may use the converter to convert any other values.

1 Gram = 0.01 Hectogram

1 Hectogram = 100 Grams
Gram is a metric system unit of mass. It is one thousandth (1/1000) of the metric system base unit, kilogram. It is a very commonly used unit of mass in daily life. The abbreviation is "g".

Hectogram is a unit of mass in metric system. 1 kilogram equals to 10 hectograms. It's rarely used and mostly for measurements in agricultural productivity, animal feed etc. The abbreviation is "hg".

then value of x is
  • a)
    0.0144                     
  • b)
    1.44
  • c)
    14.4                         
  • d)
    144
Correct answer is option 'A'. Can you explain this answer?

Shanaya Sharma answered
Multiplying and dividing by 1000 in LHS, we get-
(144*1000) / (0.144*1000) = 14.4 / x
144000 / 144 = 14.4 / x
1000 = 14.4/x
x = 14.4/1000
x = 0.0144

0.01 _____ 0.3
  • a)
    =
  • b)
    <
  • c)
    >
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aditya Menon answered
Understanding the Comparison
To compare the numbers 0.01 and 0.3, we first need to understand their values in the decimal system.
Decimal System Basics
- The decimal system is based on powers of ten.
- Each digit to the right of the decimal point represents a fraction of ten.
Placing the Numbers
- 0.01 means one hundredth (1/100).
- 0.3 means three tenths (3/10).
Converting to a Common Denominator
- To compare the two numbers, we can convert them to the same denominator:
- 0.01 = 0.01
- 0.3 = 0.30 (adding a zero to the right does not change its value).
Direct Comparison
- Now we can directly compare:
- 0.01 is equivalent to 0.01
- 0.3 is equivalent to 0.30
When lined up:
- 0.01 < 0.30="" />Conclusion
Thus, we can see that 0.01 is less than 0.3. Therefore, the correct answer is option 'B' (b <).>
This illustrates the importance of understanding place value and how to compare decimal numbers effectively. this="" illustrates="" the="" importance="" of="" understanding="" place="" value="" and="" how="" to="" compare="" decimal="" numbers="">
This illustrates the importance of understanding place value and how to compare decimal numbers effectively.>

Which is greater: 0.65 or 0.56?
  • a)
    0.65
  • b)
    0.56
  • c)
    Both are equal
  • d)
    Cannot compare
Correct answer is option 'A'. Can you explain this answer?

Understanding Decimal Comparison
When comparing decimals, it's important to look at the digits from left to right. Each digit's place value helps determine which number is greater.
Step-by-Step Comparison
- Identify the Numbers:
We have 0.65 and 0.56.
- Compare the Whole Numbers:
Both numbers are less than 1, so we focus on the digits after the decimal point.
- Examine the Tenths Place:
- In 0.65, the tenths digit is 6.
- In 0.56, the tenths digit is also 5.
Here, 6 (from 0.65) is greater than 5 (from 0.56).
- Conclusion from Tenths Place:
Since the tenths digit of 0.65 is greater than that of 0.56, we can conclude that 0.65 is greater.
Final Verification
- Comparing the Hundredths Place:
- In 0.65, the hundredths digit is 5.
- In 0.56, the hundredths digit is 6.
Although 6 is greater than 5, the comparison was already determined by the tenths place.
- Overall Conclusion:
Since the tenths digit of 0.65 is larger, 0.65 is indeed greater than 0.56.
Correct Answer
- Therefore, the correct answer is option 'A': 0.65 is greater than 0.56.

Find: 1.54 + 1.80
  • a)
    3.04
  • b)
    3.3
  • c)
    3.34
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
The correct solution is:
  • Calculate the sum of 1.54 and 1.80.
  • The result is 3.34.
  • Thus, the correct answer is C.

Every fraction with denominator 100 can be written in ________ notation and vice-versa
  • a)
    fraction
  • b)
    decimal
  • c)
    ratio
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
- A fraction with a denominator of 100 can be easily converted to decimal notation.
- To convert, divide the numerator by 100. For example, 75/100 = 0.75.
- Decimal notation can also be converted back to a fraction with a denominator of 100 by multiplying the decimal by 100 and using the result as the numerator.

Write as decimals: 40 + 2 + 3/10
  • a)
    42.3
  • b)
    42.03
  • c)
    4.23
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Praveen Kumar answered
To convert 40 + 2 + 3/10 into a decimal:
  • Combine the whole numbers: 40 and 2 to get 42.
  • Convert 3/10 to 0.3.
  • Add them together: 42 + 0.3 equals 42.3.
Thus, the decimal form is 42.3.

Find: 0.7 + 0.08
  • a)
    0.78
  • b)
    7.8
  • c)
    0.708
  • d)
    78
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 6 answered
  • 0.7 + 0.08 = 0.78
  • To add decimal numbers, align the decimal points and add as you would with whole numbers.
  • Add 0.7 and 0.08:
  • = 0.7 + 0.08 = 0.78
  • The correct answer is 0.78 (option A)

Decimal notation of one-hundredth is ________.
  • a)
    0.01
  • b)
    0.1
  • c)
    0.2
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Coachify answered
The decimal notation for one-hundredth is 0.01.
This means it is one part of one hundred equal parts.

2 ÷  5 is equal to
  • a)
    2.5                           
  • b)
    3
  • c)
    0.4                           
  • d)
    0.04
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered
The number 2 is a positive integer that is greater than 1 and less than 3. It is the smallest prime number and is also the only even prime number.

Write as a decimal: 300 + 20 + 3 + 4/10 + 5/100
  • a)
    33.45
  • b)
    323.45
  • c)
    323.05
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

To convert 300 + 20 + 3 + 4/10 + 5/100 into a decimal:
  • Combine the whole numbers and fractions: 300 + 20 + 3 = 323.
  • Add the fractions: 4/10 = 0.4 and 5/100 = 0.05.
  • Sum: 323 + 0.4 + 0.05 = 323.45.
Therefore, the correct decimal is 323.45.

Write as decimals: 300 + 5 + 7/10
  • a)
    305.7
  • b)
    305.07
  • c)
    35.7
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
  • Convert the fractions to decimals:
    • 7/10 = 0.7
  • Add all the numbers together:
    • 300 + 5 + 0.7 = 305.7
  • Therefore, the correct answer is 305.7.
 

Find: 0.29 + 0.36
  • a)
    0.065
  • b)
    65
  • c)
    0.65
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
Given numbers:
  • 0.29
  • 0.36
Calculation:
  • Add the two numbers: 0.29 + 0.36 = 0.65
Answer: 0.65

700 m expressed in km is
  • a)
    70 km                                  
  • b)
    7 km
  • c)
    0.7 km                      
  • d)
    0.07 km
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered
To express 700 m in km, we need to convert meters to kilometers. Here's how we can do it:

1. Understanding the Conversion:
- 1 kilometer (km) is equal to 1000 meters (m). This is the conversion factor we will use.

2. Conversion Formula:
To convert meters to kilometers, we divide the length in meters by 1000.

3. Applying the Conversion Formula:
Let's apply the conversion formula to convert 700 m to km:
- 700 m ÷ 1000 = 0.7 km

4. Answer and Explanation:
Therefore, 700 m expressed in km is 0.7 km.

5. Options Explanation:
- Option A: 70 km - This option is incorrect because it is ten times larger than the correct answer.
- Option B: 7 km - This option is incorrect because it is one-tenth of the correct answer.
- Option C: 0.7 km - This option is correct because it is the result obtained after converting 700 m to km.
- Option D: 0.07 km - This option is incorrect because it is one-tenth of the correct answer.

In conclusion, the correct answer is option C, 0.7 km, because when we convert 700 m to km, we get 0.7 km.

Write as a decimal: 60 + 1/10+3/100
  • a)
    6.13
  • b)
    60.13
  • c)
    60.103
  • d)
    60.013
Correct answer is option 'B'. Can you explain this answer?

Dr Manju Sen answered
Decimal Representation of 60 + 1/10 + 3/100
  • Step 1: 1/10 + 3/100 = 10/100 + 3/100 = 13/100
  • Step 2: Convert the fraction 13/100 to a decimal by dividing 13 by 100: 13 ÷ 100 = 0.13
  • Step 3: Add the decimal 0.13 to the whole number 60: 60 + 0.13 = 60.13
Therefore, the decimal representation of 60 + 1/10 + 3/100 is 60.13, which is option B.

Write as a decimal: 70 + 2/10 + 6/100
  • a)
    70.06
  • b)
    70.2
  • c)
    70.26
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

To write 70 + 2/10 + 6/100 as a decimal:
  • 70 is the whole number part.
  • 2/10 is equal to 0.2.
  • 6/100 is equal to 0.06.
Combine these to get 70.26.

Write 2 rupees and 50 paise as decimal.
  • a)
    Rs 2.005
  • b)
    Rs 2
  • c)
    Rs 2.05
  • d)
    Rs 2.50
Correct answer is option 'D'. Can you explain this answer?

EduRev Class 6 answered
To express 2 rupees and 50 paise as a decimal:
  • 1 rupee = 100 paise.
  • 50 paise = 0.50 rupees.
  • Therefore, 2 rupees and 50 paise = Rs 2.50.

Decimal form of ‘six-tenths’ is _________.
  • a)
    0.6
  • b)
    0.5
  • c)
    0.06
  • d)
    0.7
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
  • Step 1: Understand that 'six-tenths' means 6 parts out of 10 parts.
  • Step 2: To convert this fraction to a decimal, divide the numerator (6) by the denominator (10).
  • Step 3: 6 ÷ 10 = 0.6
  • Step 4: Therefore, the decimal form of 'six-tenths' is 0.6

3 kg 50 gm expressed as kg is
  • a)
    5.3 kg                                  
  • b)
    3.005 kg
  • c)
    3.050 kg                   
  • d)
    3.5 kg
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
To express 3 kg 50 gm as kilograms, we need to convert the grams into kilograms.

1 kilogram is equal to 1000 grams.

So, 50 grams is equal to 50/1000 = 0.05 kilograms.

To express 3 kg 50 gm as kilograms, we add the converted grams to the given kilograms.

3 kg + 0.05 kg = 3.05 kg

Therefore, the correct answer is option 'C' which is 3.050 kg.

Write as a decimal: 200 + 30 + 5 + 2/10 + 9/100
  • a)
    23.29
  • b)
    25.29
  • c)
    235.29
  • d)
    235.59
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
Calculation:
  • 200 + 30 + 5 + 2/10 + 9/100 = 200 + 30 + 5 + 0.2 + 0.09
  • 200 + 30 + 5 + 0.2 + 0.09 = 235.29
Final Answer:
The given expression as a decimal is 235.29

     

Find: 2.66 + 1.85
  • a)
    4.15
  • b)
    4.5
  • c)
    4.51
  • d)
    4.01
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered
  • Given numbers: 2.66 and 1.85
  • Adding the numbers: 2.66 + 1.85 = 4.51
  • Answer:
  • C: 4.51

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