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Question

The fingerprint pattern of a person is as follows: Whorl pattern on right middle, right little, left index, left middle fingers; arch pattern present on right ring and left thumb and rest all the fingers have loop pattern. Based on the above pattern, what will be the primary classification?

The correct answer is
3/15

Calculating Fingerprint Primary Classification using the Henry System

The primary classification of a fingerprint set is determined using the Henry Classification System. This system assigns numerical values to specific finger patterns, primarily whorls, to calculate a fraction representing the overall classification.

Understanding the Henry Classification System Formula

The primary classification is calculated as a fraction:

$ \text{Primary Classification} = \frac{\text{Numerator}}{\text{Denominator}} $

The values are assigned based on the presence of whorls on specific fingers:

  • Fingers are numbered 1 to 10, starting with the Right Thumb (1) and ending with the Left Little finger (10).
  • Specific fingers are assigned point values if they contain a whorl pattern:
    • Fingers 1 (Right Thumb) and 6 (Left Thumb) = 16 points each.
    • Fingers 2 (Right Index) and 7 (Left Index) = 8 points each.
    • Fingers 3 (Right Middle) and 8 (Left Middle) = 4 points each.
    • Fingers 4 (Right Ring) and 9 (Left Ring) = 2 points each.
    • Fingers 5 (Right Little) and 10 (Left Little) = 1 point each.
  • Numerator Calculation: Sum the values of whorls on the **even-numbered fingers** (2, 4, 6, 8, 10) and add 1.
  • Denominator Calculation: Sum the values of whorls on the **odd-numbered fingers** (1, 3, 5, 7, 9) and add 1.

Step 1: Identify Finger Patterns and Whorl Locations

Based on the question, the fingerprint patterns are:

  • Whorls present on: Right Middle, Right Little, Left Index, Left Middle.
  • Arches present on: Right Ring, Left Thumb.
  • Loops present on: Right Thumb, Right Index, Left Ring, Left Little.

Step 2: Map Patterns to Finger Numbers and Values

Let's list each finger, its number, assigned value (if it's a whorl), and whether it contributes to the primary classification calculation:

Finger Number Type Value if Whorl Pattern Given Whorl Present? Value Added
Right Thumb 1 (Odd) Odd 16 Loop No 0
Right Index 2 (Even) Even 8 Loop No 0
Right Middle 3 (Odd) Odd 4 Whorl Yes 4
Right Ring 4 (Even) Even 2 Arch No 0
Right Little 5 (Odd) Odd 1 Whorl Yes 1
Left Thumb 6 (Even) Even 16 Arch No 0
Left Index 7 (Odd) Odd 8 Whorl Yes 8
Left Middle 8 (Even) Even 4 Whorl Yes 4
Left Ring 9 (Odd) Odd 2 Loop No 0
Left Little 10 (Even) Even 1 Loop No 0

Step 3: Calculate the Primary Classification Numerator

We sum the values for whorls found on the even-numbered fingers (2, 4, 6, 8, 10):

  • Finger 2 (Right Index): 0
  • Finger 4 (Right Ring): 0
  • Finger 6 (Left Thumb): 0
  • Finger 8 (Left Middle): 4
  • Finger 10 (Left Little): 0

Sum = $0 + 0 + 0 + 4 + 0 = 4$.

Numerator = Sum + 1 = $4 + 1 = 5$.

Step 4: Calculate the Primary Classification Denominator

We sum the values for whorls found on the odd-numbered fingers (1, 3, 5, 7, 9):

  • Finger 1 (Right Thumb): 0
  • Finger 3 (Right Middle): 4
  • Finger 5 (Right Little): 1
  • Finger 7 (Left Index): 8
  • Finger 9 (Left Ring): 0

Sum = $0 + 4 + 1 + 8 + 0 = 13$.

Denominator = Sum + 1 = $13 + 1 = 14$.

Step 5: Determine the Final Primary Classification

Combining the calculated numerator and denominator gives the primary classification:

$ \text{Primary Classification} = \frac{5}{14} $

Note: The calculation based on the standard Henry Classification System yields 5/14. This differs from the options provided. The solution above follows the standard methodology for determining the primary classification.

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Important Questions from LCM and HCF

  1. Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

  2. A and B are two prime numbers such that A > B and their LCM is 209. The value of A 2 - B is:

  3. Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

  4. Calculate the HCF of \(\frac{12}{5}\) \(\frac{14}{15}\)  and  \(\frac{16}{17}\) .

  5. Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

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