All questions of Decimals & Fractions for Computer Science Engineering (CSE) Exam

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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.

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.

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.

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

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?

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.

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?

Ameya Ahuja answered
Answer: Option D
Explanation:
Let 3889 + 12.952 - x = 3854.002.
Then x = (3889 + 12.952) - 3854.002
   = 3901.952 - 3854.002
   = 47.95.

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