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Direction: In each of the following questions two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers are to be answered. The operations of numbers progress from left to right.
Rules:
i) If an even number is followed by an odd prime number, then subtract even number from that odd prime number.
ii) If an even number is followed by a perfect square, then divide even number by perfect square number.
iii) If an even number is followed by a composite number, then subtract the smaller one from the greater one.
iv) if odd number is followed by odd prime number, then subtract smaller one from the greater one.
v) If an odd number is followed by any composite number, subtract smaller one from the greater one.
Note: If any two conditions co-incite we will consider the first one obtained from (i to v) for the operations.
16 83 13
27 16 22
What would be the difference between resultant of row I and resultant of row II?
13
39
43
9
None of the above
Let’s break down both rows step by step using the rules:
Row I: 16 83 13
- 16 (even) and 83 (odd, not prime):
- Rule iii: 83 is composite (83 = 1 x 83), subtract smaller from greater: 83 - 16 = 67
- Next, 67 (result, odd) and 13 (odd prime):
- Rule iv: Both are odd, 13 is prime, subtract smaller from greater: 67 - 13 = 54
- Row I Result: 54
Row II: 27 16 22
- 27 (odd), 16 (perfect square):
- Rule v: 16 is composite, subtract smaller from greater: 27 - 16 = 11
- Next, 11 (odd), 22 (even):
- Rule iii: 22 is composite, subtract smaller from greater: 22 - 11 = 11
- Row II Result: 11
Difference: 54 - 11 = 43
Options analysis:
1. 13
2. 39
3. 43
4. 9
5. None of the above
Correct Answer: Option 3, 43
- We carefully applied each rule in sequence, starting from the left.
- Row I and Row II both resulted in numbers using the correct rule when numbers “co-incide.”
- The difference exactly matches Option: 3.
By: Parvesh Mehta ProfileResourcesReport error
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