All questions of Decimals & Fractions for Mechanical Engineering Exam
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.
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.
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
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
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
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
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
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
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?
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
|
|
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.
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.
- a).0009
- b).09
- c).9
- d)9
Correct answer is option 'C'. Can you explain this answer?
a)
.0009
b)
.09
c)
.9
d)
9
|
|
Akanksha Ahuja answered |
Answer: Option C
Explanation:
A+B = ?
- a)2
- b)2.40
- c)2.43
- d)2.50
Correct answer is option 'D'. Can you explain this answer?
a)
2
b)
2.40
c)
2.43
d)
2.50
|
|
Ameya Ahuja answered |
Answer: Option D
Explanation:
then what should come in place of y ?
Arrange the following decimal numbers in ascending order. 4.4, 0.44, 0.044, 0.004- a)4.4, 0.044, 0.004, 0.44
- b)0.44, 0.004, 0.044, 4.4
- c)4.4, 0.440.044, 0.004
- d)0.004, 0.044, 0.44, 4.44
Correct answer is option 'D'. Can you explain this answer?
Arrange the following decimal numbers in ascending order. 4.4, 0.44, 0.044, 0.004
a)
4.4, 0.044, 0.004, 0.44
b)
0.44, 0.004, 0.044, 4.4
c)
4.4, 0.440.044, 0.004
d)
0.004, 0.044, 0.44, 4.44
|
Mayank Pillai answered |
Ascending Order of Decimal Numbers
To arrange decimal numbers in ascending order, we need to compare the numbers and arrange them from smallest to largest.
Given decimal numbers: 4.4, 0.44, 0.044, 0.004
To determine the ascending order, we compare the numbers digit by digit from left to right.
Comparing the Whole Numbers:
- The whole number part of all the given decimal numbers is the same, which is 0.
Comparing the Tenths:
- The tenths digit of the given numbers is 4, 4, 0, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the tenths digit will come first.
Comparing the Hundredths:
- The hundredths digit of the given numbers is 4, 4, 4, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the hundredths digit will come next.
Comparing the Thousandths:
- The thousandths digit of the given numbers is 0, 4, 4, and 4.
- Since 0 is the smallest among these digits, the number with 0 as the thousandths digit will come next.
Therefore, the ascending order of the given decimal numbers is:
0.004, 0.044, 0.44, 4.4 (option D)
In this order, the numbers are arranged from smallest to largest, following the rules of comparing the digits from left to right.
To arrange decimal numbers in ascending order, we need to compare the numbers and arrange them from smallest to largest.
Given decimal numbers: 4.4, 0.44, 0.044, 0.004
To determine the ascending order, we compare the numbers digit by digit from left to right.
Comparing the Whole Numbers:
- The whole number part of all the given decimal numbers is the same, which is 0.
Comparing the Tenths:
- The tenths digit of the given numbers is 4, 4, 0, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the tenths digit will come first.
Comparing the Hundredths:
- The hundredths digit of the given numbers is 4, 4, 4, and 0.
- Since 0 is the smallest among these digits, the number with 0 as the hundredths digit will come next.
Comparing the Thousandths:
- The thousandths digit of the given numbers is 0, 4, 4, and 4.
- Since 0 is the smallest among these digits, the number with 0 as the thousandths digit will come next.
Therefore, the ascending order of the given decimal numbers is:
0.004, 0.044, 0.44, 4.4 (option D)
In this order, the numbers are arranged from smallest to largest, following the rules of comparing the digits from left to right.
then what should come in place of y?
Chapter doubts & questions for Decimals & Fractions - RRB JE Mock Test Series for Mechanical Engineering (ME) 2026 2025 is part of Mechanical Engineering exam preparation. The chapters have been prepared according to the Mechanical Engineering exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Mechanical Engineering 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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