Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (02.09.2024) Shift-II
There are three positive numbers. One-third of the average of all three is 8 less than the highest number. If the average of the lowest and the second-lowest number is 8, what is the highest number?
A9
B10
C11 ✓ Correct
D12
Correct answer: (C) 11 — The highest number is 11, so that is the answer.
Explanation
★The highest number is 11, so that is the answer.
★Let the highest be Z and the average be A.
★Z minus A over 3 equals 8.
★The two smaller numbers sum to 16.
★Substituting gives Z minus (16 plus Z) over 9 equals 8, so 8Z is 88.
★So Z is 11.
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