Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (04.03.2023) Shift-I
The sum of 3 consecutive odd numbers and 3 consecutive even numbers together is 231. Also the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?
A81 ✓ Correct
B73
C77
D79
Correct answer: (A) 81 — The sum of the largest odd and largest even numbers is 81, so the answer is 81.
Explanation
★The sum of the largest odd and largest even numbers is 81, so the answer is 81.
★The three consecutive odd numbers and three consecutive even numbers together add to 231.
★The smallest odd number is 11 less than the smallest even number.
★Solving these conditions gives the odd numbers as 31, 33 and 35.
★It gives the even numbers as 42, 44 and 46.
★So the largest odd is 35 and the largest even is 46, and their sum is 81.
★So the answer is 81.
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