All Exams  >   CDS  >   Elementary Mathematics for CDS  >   All Questions

All questions of Decimals for CDS 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.

What is 6.7 + 2.3?
  • a)
    8.1
  • b)
    9.0
  • c)
    9.1
  • d)
    8.7
Correct answer is option 'B'. Can you explain this answer?

Anisha Iyer answered
Understanding the Problem
To solve the problem of adding 6.7 and 2.3, you need to align the decimal points and then perform the addition.
Step-by-Step Calculation
1. Align the Numbers
Write the numbers one below the other, making sure to line up the decimal points:
- 6.7
- 2.3
2. Performing the Addition
Start from the rightmost digit:
- Add the tenths place: 7 + 3 = 10 (write down 0, carry over 1)
- Add the whole numbers and the carry: 6 + 2 + 1 (from carry) = 9
3. Combine the Results
So, the final addition gives you:
- 9.0
Final Answer
Thus, the result of 6.7 + 2.3 is 9.0, which corresponds to option 'b'.
Conclusion
- Correct Answer: Option 'b' (9.0)
- Key Takeaway: Always align the decimal points when adding decimal numbers to ensure accuracy.

.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?

Aarav Sharma answered
To find the product of 0.213 and 0.00213, we can multiply the two numbers as follows:

0.213 x 0.00213 = 0.00045429

The resulting number is 0.00045429.

Explanation:

To multiply decimals, we follow the same rules as multiplying whole numbers, but we also need to consider the placement of the decimal point in the final answer.

Let's break down the multiplication step by step:

Step 1: Ignore the decimal points and multiply the two numbers as if they were whole numbers.

0.213 x 0.00213 = 45429

Step 2: Count the total number of decimal places in the original numbers.

In this case, there are five decimal places: three from 0.213 and two from 0.00213.

Step 3: Place the decimal point in the final answer by counting from the rightmost digit of the product, starting with zero.

Since there are five decimal places, we place the decimal point five places from the right in the product.

0.00045429

Therefore, the product of 0.213 and 0.00213 is 0.00045429.

Answer: c) 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.

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

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.

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.

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.

Chapter doubts & questions for Decimals - Elementary Mathematics for CDS 2025 is part of CDS exam preparation. The chapters have been prepared according to the CDS exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CDS 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Decimals - Elementary Mathematics for CDS in English & Hindi are available as part of CDS exam. Download more important topics, notes, lectures and mock test series for CDS Exam by signing up for free.

Elementary Mathematics for CDS

174 videos|104 docs|134 tests

Top Courses CDS