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All questions of Fractions & Decimals for SSC MTS / SSC GD Exam
Decimal form of ‘seven-tenths’ is ________.- a)0.5
- b)0.8
- c)0.6
- d)0.7
Correct answer is option 'D'. Can you explain this answer?
Decimal form of ‘seven-tenths’ is ________.
a)
0.5
b)
0.8
c)
0.6
d)
0.7
|
Nandita Choudhary answered |
The decimal 0.7 could be pronounced as SEVEN TENTHS or as ZERO POINT SEVEN.
Decimal comes from Latin word _________- a)Decem
- b)Decema
- c)Decimilar
- d)Deca
Correct answer is option 'A'. Can you explain this answer?
Decimal comes from Latin word _________
a)
Decem
b)
Decema
c)
Decimilar
d)
Deca
|
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.
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?
Write 2 rupees and 5 paise as decimal.
a)
Rs 2.05
b)
Rs 2.005
c)
Rs 2.5
d)
Rs 2
|
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.
- 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.
1/0.04 is equal to- a)1/40
- b)2/5
- c)2.5
- d)25
Correct answer is option 'D'. Can you explain this answer?
1/0.04 is equal to
a)
1/40
b)
2/5
c)
2.5
d)
25
|
Srishti Sinha answered |
1/0.04 can be written as 100/4 which is equal to 25, so D is the correct option
If 
then value of 
is
- a)x/10
- b)10x
- c)100x
- d)None
Correct answer is option 'A'. Can you explain this answer?
If then value of is
then value of isa)
x/10
b)
10x
c)
100x
d)
None
|
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.
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?
Mixed fraction = Nearest Natural Number + _________
a)
Improper fraction
b)
Proper fraction
c)
Like fraction
d)
Complex fraction
|
|
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.
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 notation of 1/4 is _______.
- a)0.4
- b)0.04
- c)0.02
- d)0.25
Correct answer is option 'D'. Can you explain this answer?
Decimal notation of 1/4 is _______.
a)
0.4
b)
0.04
c)
0.02
d)
0.25
|
Rajeev Sen answered |
1 divided by 4 equals 0.25. So 1/4 is equal to 0.25.
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?
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
|
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.
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.
Rs. 0.08 equals- a)80 paise
- b)8 paise
- c)0.8 paise
- d)800 paise
Correct answer is option 'B'. Can you explain this answer?
Rs. 0.08 equals
a)
80 paise
b)
8 paise
c)
0.8 paise
d)
800 paise
|
|
Prakhya Shrivastava answered |
Rs 1 = 100 paise
syo Rs 0.08 = 0.08×100 paise = 8 paise
Hence option (b) is correct
syo Rs 0.08 = 0.08×100 paise = 8 paise
Hence option (b) is correct
Ayush, Satyam and Mohak bought 8.5 litres, 7.25 litres and 9.4 litres milk respectively from a milk booth. If there was 30 litres of Milk in booth, find the quantity of milk left.- a)4.850 litres
- b)4.508 litres
- c)5.408 litres
- d)8.450 litres
Correct answer is option 'A'. Can you explain this answer?
Ayush, Satyam and Mohak bought 8.5 litres, 7.25 litres and 9.4 litres milk respectively from a milk booth. If there was 30 litres of Milk in booth, find the quantity of milk left.
a)
4.850 litres
b)
4.508 litres
c)
5.408 litres
d)
8.450 litres
|
Shruti Singh answered |
Total milk bought =8.5l+7.25l+9.4l=25.15l
∴ Milk left in booth = 30l−25.15l = 4.850 liters
= .01- a).0009
- b).09
- c).9
- d)9
Correct answer is option 'C'. Can you explain this answer?
= .01a)
.0009
b)
.09
c)
.9
d)
9
|
|
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).
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?
0.005 ÷ 0.25 is equal to
a)
0.2
b)
0.02
c)
2.02
d)
0.002
|
|
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.
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.
0.1 _____ 0.03- a)<
- b)>
- c)=
- d)None of These
Correct answer is option 'B'. Can you explain this answer?
0.1 _____ 0.03
a)
<
b)
>
c)
=
d)
None of These
|
|
Anita Menon answered |
The correct option is B as 0.1 is greater than 0.03.
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?
10.8 X 1.3 is equal to
a)
1.404
b)
14.04
c)
140.4
d)
1404
|
Munavvarah 2002 answered |
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?
36.45 ÷ 0.2 is equal to
a)
182.25
b)
1822.5
c)
18.225
d)
1.8225
|
Future Foundation Institute answered |
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.
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?
Decimals having the same number of decimal places are called _________
a)
Like decimals
b)
Unlike decimals
c)
Decimals
d)
Whole numbers
|
Shivani Banerjee answered |
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.
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.
7.5 × 7.5 + 37.5 + 2.5 × 2.5=?- a)100
- b)80
- c)60
- d)30
Correct answer is option 'A'. Can you explain this answer?
7.5 × 7.5 + 37.5 + 2.5 × 2.5=?
a)
100
b)
80
c)
60
d)
30
|
Geetika Patel answered |
(7.5)2 + 2 × 2.5 × 7.5 + (2.5)2 = (7.5 + 2.5)2
= (10)2 = 100
.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?
.04 x ? = .000016
a)
0.0004
b)
0.04
c)
4
d)
None of these
|
|
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.
Decimal form of ‘Eleven point two three five’ is ______.- a)11.25
- b)11.23
- c)101.235
- d)11.235
Correct answer is option 'D'. Can you explain this answer?
Decimal form of ‘Eleven point two three five’ is ______.
a)
11.25
b)
11.23
c)
101.235
d)
11.235
|
Abhinav Priyendra answered |
Eleven point two three five =11.235
So,D will be correct ans
So,D will be correct ans
On simplifying 1.07 + 2.7 X 1.02 ÷ 1.6 we get- a)2.79
- b)6.409
- c)6.49
- d)56.6
Correct answer is option 'A'. Can you explain this answer?
On simplifying 1.07 + 2.7 X 1.02 ÷ 1.6 we get
a)
2.79
b)
6.409
c)
6.49
d)
56.6
|
Rajeev Kumar answered |
Using BODMAS, we get 2.79 after simplifying
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?
Express 88 meters as kilometers using decimals.
a)
0.88 km
b)
0.088 km
c)
8.8 km
d)
0.008 km
|
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?
Find the sum of the following:0.015 + 4.25 + 12.3
a)
16.565
b)
15.065
c)
16.595
d)
15.595
|
|
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.
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?
0.213 ÷ 0.00213 = ?
a)
1
b)
10
c)
100
d)
None of these
|
|
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
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
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?
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
|
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
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?
Value of 1.1 x 0.1 is
a)
11.1
b)
0.11
c)
110
d)
0.01
|
Bank Exams India answered |
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 km is equal to- a)100 m
- b)1000 ml
- c)10 m
- d)1000 m
Correct answer is option 'D'. Can you explain this answer?
1 km is equal to
a)
100 m
b)
1000 ml
c)
10 m
d)
1000 m
|
Sagar Sharma answered |
Understanding Kilometers and Meters
When measuring distances, it's essential to understand the relationships between different units. One of the most common conversions is between kilometers and meters.
What is a Kilometer?
- A kilometer (km) is a metric unit of length.
- It is widely used in most parts of the world to measure longer distances, such as the distance between cities or the length of roads.
What is a Meter?
- A meter (m) is the base unit of length in the International System of Units (SI).
- It is commonly used for shorter distances, such as the height of a person or the length of a room.
Conversion Factor
- The key conversion to remember is that 1 kilometer equals 1000 meters.
- This means that if you have a distance measured in kilometers, you can convert it to meters by multiplying by 1000.
Why Option 'D' is Correct
- In the given question, the options list various measurements, but the only correct statement is:
- 1 km = 1000 m (option 'D').
- The other options are incorrect because:
- 100 m: This is a smaller distance, not equivalent to a kilometer.
- 1000 ml: This is a measurement of volume, not length.
- 10 m: This is also too small to represent a kilometer.
Conclusion
Understanding these conversions allows for better comprehension of distances in everyday life, whether for travel, sports, or other activities. Hence, knowing that 1 km equals 1000 m is fundamental in the field of measurement.
When measuring distances, it's essential to understand the relationships between different units. One of the most common conversions is between kilometers and meters.
What is a Kilometer?
- A kilometer (km) is a metric unit of length.
- It is widely used in most parts of the world to measure longer distances, such as the distance between cities or the length of roads.
What is a Meter?
- A meter (m) is the base unit of length in the International System of Units (SI).
- It is commonly used for shorter distances, such as the height of a person or the length of a room.
Conversion Factor
- The key conversion to remember is that 1 kilometer equals 1000 meters.
- This means that if you have a distance measured in kilometers, you can convert it to meters by multiplying by 1000.
Why Option 'D' is Correct
- In the given question, the options list various measurements, but the only correct statement is:
- 1 km = 1000 m (option 'D').
- The other options are incorrect because:
- 100 m: This is a smaller distance, not equivalent to a kilometer.
- 1000 ml: This is a measurement of volume, not length.
- 10 m: This is also too small to represent a kilometer.
Conclusion
Understanding these conversions allows for better comprehension of distances in everyday life, whether for travel, sports, or other activities. Hence, knowing that 1 km equals 1000 m is fundamental in the field of measurement.
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?
What is the decimal form of 12/100?
a)
1.2
b)
12.0
c)
0.12
d)
0.012
|
Dr Manju Sen answered |
12 divided by 100 equals 0.12 in decimal form.
The heights of Vicky, Bittu, Rohit and Abhishek are 1.61m, 162 cm, 1600 mm and 1640 mm respectively. Who is the tallest of them all?- a)Vicky
- b)Bittu
- c)Rohit
- d)Abhishek
Correct answer is option 'D'. Can you explain this answer?
The heights of Vicky, Bittu, Rohit and Abhishek are 1.61m, 162 cm, 1600 mm and 1640 mm respectively. Who is the tallest of them all?
a)
Vicky
b)
Bittu
c)
Rohit
d)
Abhishek
|
|
Geetika Patel answered |
Vicky → 1.61m Bittu →1.62m Rohit → 1.6m Abhishek → 1.64m
The value of 0.25 ÷ 0.0025 × 0.025 of 2.5 is- a)0.625
- b)6.25
- c)62.5
- d)625
Correct answer is option 'B'. Can you explain this answer?
The value of 0.25 ÷ 0.0025 × 0.025 of 2.5 is
a)
0.625
b)
6.25
c)
62.5
d)
625
|
|
Geetika Patel answered |
we have, 0.25×0.025×0.025 of 2.5
6 ÷ 0.3 equals- a)2
- b)0.2
- c)20
- d)200
Correct answer is option 'C'. Can you explain this answer?
6 ÷ 0.3 equals
a)
2
b)
0.2
c)
20
d)
200
|
|
Aarav Sharma answered |
The number 6 is an even number.
0.023 lies between- a)0.2 and 0.3
- b)0.03 and 0.029
- c)0.02 and 0.03
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
0.023 lies between
a)
0.2 and 0.3
b)
0.03 and 0.029
c)
0.02 and 0.03
d)
None of these
|
Anjana Rane answered |
It lies between 0.02 and 0.030
3889 + 12.952 - ? = 3854.002- a)47.095
- b)47.752
- c)47.932
- d)47.95
Correct answer is option 'D'. Can you explain this answer?
3889 + 12.952 - ? = 3854.002
a)
47.095
b)
47.752
c)
47.932
d)
47.95
|
|
Akanksha Chavan answered |
Understanding the Problem
To solve the equation:
3889 + 12.952 - ? = 3854.002
we need to isolate the variable (?).
Step-by-Step Calculation
1. Combine Known Values:
First, add the two numbers on the left side of the equation:
- 3889 + 12.952 = 3901.952
2. Rearranging the Equation:
Now, we need to isolate the variable (?). We can rearrange the equation like this:
- 3901.952 - ? = 3854.002
3. Moving the Variable:
To find the value of ?, we can subtract 3854.002 from 3901.952:
- ? = 3901.952 - 3854.002
4. Performing the Subtraction:
Let's calculate the subtraction:
- 3901.952 - 3854.002 = 47.950
Conclusion
The value of ? is 47.950.
Choosing the Correct Option
Now, we will compare our result with the provided options:
- a) 47.095
- b) 47.752
- c) 47.932
- d) 47.95
The correct answer is option 'D' (47.95), which matches our calculation.
Key Takeaway
This problem illustrates how to manipulate and solve basic equations by isolating variables and performing arithmetic operations systematically.
To solve the equation:
3889 + 12.952 - ? = 3854.002
we need to isolate the variable (?).
Step-by-Step Calculation
1. Combine Known Values:
First, add the two numbers on the left side of the equation:
- 3889 + 12.952 = 3901.952
2. Rearranging the Equation:
Now, we need to isolate the variable (?). We can rearrange the equation like this:
- 3901.952 - ? = 3854.002
3. Moving the Variable:
To find the value of ?, we can subtract 3854.002 from 3901.952:
- ? = 3901.952 - 3854.002
4. Performing the Subtraction:
Let's calculate the subtraction:
- 3901.952 - 3854.002 = 47.950
Conclusion
The value of ? is 47.950.
Choosing the Correct Option
Now, we will compare our result with the provided options:
- a) 47.095
- b) 47.752
- c) 47.932
- d) 47.95
The correct answer is option 'D' (47.95), which matches our calculation.
Key Takeaway
This problem illustrates how to manipulate and solve basic equations by isolating variables and performing arithmetic operations systematically.
Fraction is a _________- a)Part of whole
- b)Circle
- c)Computer
- d)Earth
Correct answer is option 'A'. Can you explain this answer?
Fraction is a _________
a)
Part of whole
b)
Circle
c)
Computer
d)
Earth
|
Rajani Devi answered |
What is the hricse of 1_1/4of career
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?
1 hg is equal to
a)
0.1 kg
b)
10 kg
c)
100 kg
d)
1000 g
|
Gowri Chakraborty answered |
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?
then value of x isa)
0.0144
b)
1.44
c)
14.4
d)
144
|
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
(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?
0.01 _____ 0.3
a)
=
b)
<
c)
>
d)
None of these
|
|
Dr Manju Sen answered |
The number 0.01 is less than 0.3.
Therefore, the correct answer is B: <.
80.2 x 5.04 is equal to- a)4.4208
- b)4.0408
- c)40.4280
- d)404.208
Correct answer is option 'D'. Can you explain this answer?
80.2 x 5.04 is equal to
a)
4.4208
b)
4.0408
c)
40.4280
d)
404.208
|
|
Roy Kunal Singh answered |
802 × 504/1000 = (800 + 2) × (500 + 4)/1000
= (400000 + 3200+1000 + 8)/1000= 404.208
= (400000 + 3200+1000 + 8)/1000= 404.208
How is 8.036 written in words?- a)Eight point thirty-six
- b)Eight point three hundred and six
- c)Eight point zero three six
- d)Eight and thirty-six hundredths
Correct answer is option 'C'. Can you explain this answer?
How is 8.036 written in words?
a)
Eight point thirty-six
b)
Eight point three hundred and six
c)
Eight point zero three six
d)
Eight and thirty-six hundredths
|
Shiksha Academy answered |
Each digit after the decimal point is read individually, making it "eight point zero three six."
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?
Which is greater: 0.65 or 0.56?
a)
0.65
b)
0.56
c)
Both are equal
d)
Cannot compare
|
|
Prasad Kulkarni answered |
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.
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.
Chapter doubts & questions for Fractions & Decimals - Quantitative Aptitude for Competitive Exams 2025 is part of SSC MTS / SSC GD exam preparation. The chapters have been prepared according to the SSC MTS / SSC GD exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for SSC MTS / SSC GD 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Quantitative Aptitude for Competitive Exams
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