Dear Aspirants, Smartkeeda team is dedicated to providing latest series of approximation Questions with solutions for IBPS PO, SBI PO, SBI Clerk, IBPS Clerk, RRB Assistant, RRB Scale 1, LIC Assistant, LIC AAO and other banking and insurance exams. Our team of proficient experts have meticulously crafted these questions, taking into consideration the latest exam pattern. We encourage you to incorporate these newly designed approximation question sets into your daily practice routines to significantly enhance the effectiveness of your preparation.
Understanding Approximation Questions
Approximation refers to the process of finding an estimate or a close approximation of a value, number, function, or mathematical expression when it is either difficult or impractical to determine the exact value. Approximation is one of the most important and scoring topic of banking and insurance exams. With little effort and good calculation speed you can score 100% marks in this topic and save time for other complicated questions.
Rounding number to Nearest Tens
Rounding off numbers makes them easier to work with and understand. In Approximation topic, we are given questions where we have to round them off to nearest 10s to make our calculation easier and faster.
So, here's the general rule for rounding:
- If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 48 rounded to the nearest ten is 50
- If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 43 rounded to the nearest ten is 40
Example:
51/2 + 29x3 -19 + 23/2
Now in this question while rounding off to nearest 10s you can replace
51 by 50
29 by 30
19 by 20 and
23 by 20
And make your calculation easier and faster as 50/2 + 30x3 – 19 + 20/2
51/2 + 29x3 -19 + 23/2
Now in this question while rounding off to nearest 10s you can replace
51 by 50
29 by 30
19 by 20 and
23 by 20
And make your calculation easier and faster as 50/2 + 30x3 – 19 + 20/2
To Round to a Decimal Place
In banking and insurance exams, approximation questions often involve decimal values. When rounding to one decimal place, examine the first digit immediately after the decimal point; for rounding to two decimal places, focus on the second digit.
Here's the process:
- Look at the digit right after the specified decimal place.
- If the digit is 5 or greater, increase the previous digit by one.
- If it's 4 or less, retain the previous digit unchanged.
For example, when rounding 8.99, the first digit after the decimal point is 9. Therefore, 8.99 will be rounded off to 9.
- 8.99 rounded to 9
- 2.01 rounded to 2
- 5.61 rounded to 6
Approximating Multiplication and Division
Approximation plays a significant role in multiplication and division, particularly when dealing with complex numbers. The similar rounding methods discussed above are used to simplify the multiplication and division questions.
For example:
To calculate
155 x 199
We can replace 199 by 200 to make our calculation faster as 155 x 200 = 3100
Similarly, if we have to perform the following Division:
2329 / 8
We can approximate 2329 to 2400 and easily divide it by 8 as 2400 / 8 = 300
Example:
(22.99 + 17.01) ÷ 1.998 × 3.997 – 41.998 + 644.199 = ?
(22.99 + 17.01) ÷ 1.998 × 3.997 – 41.998 + 644.199 = ?
{(23 + 17) / 2} 4 – 42 + 644 ≈ ?
? = 20 × 4 – 42 + 644
? = 80 + 644 – 42 = 724 – 42 = 682
So 682 is the correct answer.
Important Techniques & Rules for Precise Approximations
Here are some important points to keep in mind when performing approximation
- The approximation must be reasonable.
- Pay attention to significant figures when approximating.
- Ensure that your result matches the level of precision indicated by the data provided in the problem.
- Avoid excessive rounding, as it can lead to significant errors.
- Avoid using approximation techniques when they do not make sense or when exact solutions are readily attainable.
We hope this information on Approximation questions with solution provided by us certainly help you in your upcoming exam. To practice more important questions for IBPS PO Pre, SBI PO Pre, LIC Assistant, SBI Clerk, IBPS Clerk, LIC AAO, EPFO SSA, NIACL and Other Bank PO and Insurance Exams, you can visit Smartkeeda and download free pdfs and practice well for your upcoming exams.
Frequently Asked Questions
Q:
What is the purpose of approximation in mathematics?
A:
The purpose of approximation in mathematics is to simplify complex calculations and obtain reasonably accurate results when exact calculation isn't essential or practical. It aids in making calculations more manageable and efficient.
Q:
When should I use approximation techniques in math problems?
A:
You should use approximation techniques in math problems when exact calculations aren't necessary, and approximations can save time and effort without sacrificing the required level of accuracy.
Q:
What strategies can I use to approximate multiplication and division?
A:
To approximate multiplication and division effectively, you can utilize strategies such as rounding numbers to nearest 10s or 100s, breaking down complex operations into simpler parts and other methods mentioned above.
Q:
How do I know if my approximation is accurate enough for my needs?
A:
You can assess the accuracy of your approximation by checking if it aligns with the given options or if it fits the problem asked. You can also perform the complete calculation and check the difference with the actual answer. If the result matches the level of precision indicated by the data provided in the problem, it’s likely accurate enough for your needs.
Q:
Are there situations where approximation should not be used?
A:
Yes, if the approximation techniques do not make sense or when exact solutions are readily attainable, you should avoid using approximation techniques.
