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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. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

  2. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  3. Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

  4. What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?

  5. Which of the following is a pair of co-primes?

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