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All questions of Fractions for UPSC CSE Exam

Evaluate:
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?

As per the formula, A^2-B^2 =(A-B) (A+B)
so from the question, we get A=2.39 and B=1.61
so the net result will be A+B=2.39+1.61=4

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. :-)

What decimal of an hour is a second ?
  • a)
    .0025
  • b)
    .0256
  • c)
    .00027
  • d)
    .000126
Correct answer is option 'C'. Can you explain this answer?

Aditya Chauhan answered
**Explanation:**

To find the decimal of an hour that represents a second, we need to divide 1 hour by the number of seconds in an hour.

**Step 1: Convert 1 hour to seconds**

We know that there are 60 minutes in an hour and 60 seconds in a minute. So, to convert 1 hour to seconds, we multiply:

1 hour * 60 minutes/hour * 60 seconds/minute = 3600 seconds

**Step 2: Divide 1 by the number of seconds in an hour**

Now, we divide 1 by the number of seconds in an hour:

1 / 3600 = 0.000277778

**Step 3: Round the decimal to the nearest five decimal places**

Since the options provided are rounded to five decimal places, we need to round the decimal to match the options.

0.000277778 rounded to five decimal places is 0.00027

Therefore, the decimal of an hour that represents a second is 0.00027, which corresponds to option C.

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".

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.

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

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.

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.

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

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.

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.

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.

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

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