All questions of Fractions & Decimals for Delhi Police Constable 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.

Mixed fraction = Nearest Natural Number + _________
  • a)
    Improper fraction     
  • b)
    Proper fraction
  • c)
    Like fraction              
  • d)
    Complex fraction
Correct answer is option 'B'. Can you explain this answer?

Yashvi Pillai answered
**Explanation:**

A mixed fraction is a combination of a whole number and a proper fraction, where the numerator is less than the denominator. It is written in the form of a whole number followed by a fraction.

For example, 3 1/2 is a mixed fraction where 3 is the whole number and 1/2 is the fraction.

On the other hand, a proper fraction is a fraction where the numerator is less than the denominator. It does not have a whole number part.

For example, 1/2 is a proper fraction.

Now, let's consider the given statement: "Mixed fraction = Nearest Natural Number"

This means that when we have a mixed fraction, we need to find the nearest natural number that is closest to the value of the mixed fraction.

For example, if we have the mixed fraction 3 1/2, we need to find the nearest natural number to the value of 3 1/2.

The value of 3 1/2 is 3.5. The nearest natural number to 3.5 is 4.

Therefore, the nearest natural number to the mixed fraction 3 1/2 is 4.

Since the answer is a whole number (natural number) and not a fraction, the correct option is B) Proper fraction.

In summary, when we have a mixed fraction and we need to find the nearest natural number to its value, the answer will always be a proper fraction.

Decimal comes from Latin word _________
  • a)
    Decem                         
  • b)
    Decema       
  • c)
    Decimilar                     
  • d)
    Deca
Correct answer is option 'A'. Can you explain this answer?

Aaditya Chavan answered
Answer : 
a)
Decem 
The word decimal comes from the Latin word decimus meaning tenth. Deca means 10 and comes from the Latin word decem (ten) and the Greek word deka. The decimal place value system then, is a way of counting and recording numbers using ten as a base for grouping.

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?

Anand Singh 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. :-)

Decimals having the same number of decimal places are called _________
  • a)
    Like decimals   
  • b)
    Unlike decimals
  • c)
    Decimals                      
  • d)
    Whole numbers
Correct answer is option 'A'. Can you explain this answer?

The correct answer is option 'A' - Like decimals.

Decimals are a way of representing numbers that are not whole numbers. They include a decimal point that separates the whole number part from the decimal part. The digits to the right of the decimal point represent a fraction of a whole number.

When comparing decimals, it is important to consider the number of decimal places they have. The number of decimal places refers to the number of digits to the right of the decimal point.

Decimals that have the same number of decimal places are called like decimals. For example, 0.25 and 0.75 have two decimal places, so they are like decimals. Similarly, 2.430 and 5.730 have three decimal places, so they are also like decimals. In both cases, the number of decimal places is the same, making them like decimals.

On the other hand, decimals that have a different number of decimal places are called unlike decimals. For example, 0.5 and 0.35 have different decimal places, so they are unlike decimals. Similarly, 3.2 and 5.67 have a different number of decimal places, so they are unlike decimals as well.

The reason why the correct answer is option 'A' - Like decimals is because decimals with the same number of decimal places are considered to be similar or like each other. This helps in comparing and performing operations on decimals more easily.

Understanding the concept of like and unlike decimals is important in various mathematical operations such as addition, subtraction, multiplication, and division. It allows us to align the decimal places correctly, making calculations more accurate.

.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.

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?

Notes Wala answered
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.

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.

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".

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.

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.

The weight of a basketball is about 700000 mg. It is
  • a)
    Less than 700 g
  • b)
    Greater than 700 g
  • c)
    Equal to 700 g  
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Manoj Desai answered
Weight of the basketball in milligrams: 700,000 mg

To determine if the weight of the basketball is less than, greater than, or equal to 700 grams, we need to convert the weight from milligrams to grams.

1. Conversion of milligrams to grams:
We know that 1 gram (g) is equal to 1,000 milligrams (mg).
Therefore, to convert milligrams to grams, we divide the weight in milligrams by 1,000.

Weight in grams = Weight in milligrams / 1,000

2. Calculating the weight of the basketball in grams:
Weight in grams = 700,000 mg / 1,000
Weight in grams = 700 g

Now, we can compare the weight of the basketball to 700 grams.

Comparison:
The weight of the basketball (700 g) is equal to 700 grams.

Therefore, the correct answer is option 'C': Equal to 700 g.

Explanation:
The weight of the basketball is given in milligrams, so we need to convert it to grams for a meaningful comparison. By dividing the weight in milligrams by 1,000, we obtain the weight in grams, which is 700 g. Since the weight of the basketball is exactly 700 grams, it is equal to 700 g, and option 'C' is the correct answer.

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.

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.

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

The expression (11.98 * 11.98 + 11.98x + 0.02 * 0.02) will be a perfect square for x equal to:
  • a)
    0.02
  • b)
    0.2
  • c)
    0.04
  • d)
    0.4
Correct answer is option 'C'. Can you explain this answer?

Sneha Kumar answered
Answer: Option C
Explanation:
Given expression = (11.98)2 + (0.02)2 + 11.98 x x.
For the given expression to be a perfect square, we must have
11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

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.

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.

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: 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.

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

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.

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