Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (11.07.2022) Shift-I
The average of 5 consecutive numbers A, B, C, D and E is 48. What is the product of A and E?
A2000
B2300 ✓ Correct
C2100
D2400
Correct answer: (B) 2300 — The product of A and E is 2300.
Explanation
★The product of A and E is 2300.
★For consecutive numbers the average equals the middle term, so the middle number C is 48.
★The five consecutive numbers are therefore 46, 47, 48, 49 and 50.
★Here A is 46 and E is 50, the first and last of the run.
★The product A times E equals 46 times 50, which is 2300.
★The average of an odd count of consecutive integers is always the central value.
★This property lets the sequence be reconstructed quickly around the mean.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in