Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (14.06.2023) Shift-II
The average of 5 consecutive odd numbers in descending order is 95. Find the fourth number in the descending order.
A95
B97
C99
D93 ✓ Correct
Correct answer: (D) 93 — The fourth number in descending order is 93, so the answer is 93.
Explanation
★The fourth number in descending order is 93, so the answer is 93.
★For evenly spaced numbers the average equals the middle term.
★So the third of the five odd numbers is 95.
★The five in descending order are 99, 97, 95, 93 and 91.
★The fourth number in that descending order is 93.
★Consecutive odd numbers differ by 2, so counting down from the middle gives 93.
★The mean of a symmetric set of numbers is always its central value, which anchors the sequence.
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