89% 72% 391 | 48% ?a)986b)1098c)1104d)1212e) Correct...
Question Analysis:
The given question is from the Quant category. We are given a series of percentages and numbers and we need to find the missing number in the series. The series is as follows:
89% 72% 391 | 48% ?
Solution:
To find the missing number in the series, let's analyze the given numbers and percentages.
Step 1: Analyzing the Given Numbers
We have three numbers in the given series: 89%, 72%, and 391. Let's observe the pattern between these numbers.
- The first number, 89%, can be written as 0.89 in decimal form.
- The second number, 72%, can be written as 0.72 in decimal form.
- There is a missing number represented by '?'.
- The fourth number is given as 48%, which can be written as 0.48 in decimal form.
Step 2: Analyzing the Pattern
Now, let's observe the pattern between the given numbers.
- If we multiply 0.89 by 0.72, we get approximately 0.64.
- If we multiply 0.72 by 0.64, we get approximately 0.46.
- If we multiply 0.64 by 0.46, we get approximately 0.29.
From the pattern, it seems like each number is multiplied by a decreasing factor to get the next number.
Step 3: Applying the Pattern to Find the Missing Number
We need to find the missing number by multiplying the third number, 391, by the same decreasing factor.
- If we multiply 391 by 0.29, we get approximately 113.39.
Therefore, the missing number in the series is approximately 113.39.
Step 4: Converting the Answer to Percentage
Since the given numbers are in percentage form, we need to convert the missing number to percentage form.
- 113.39 can be written as 113.39%.
- Rounding it to the nearest whole number, we get 113%.
Step 5: Identifying the Correct Option
Among the given options, option 'C' is 1104, which is the closest to 113%.
Hence, the correct answer is option 'C' (1104).
89% 72% 391 | 48% ?a)986b)1098c)1104d)1212e) Correct...
89% of x-72% of x=391
17% of x=391
So, 48% of x=(391/17)X48=1104