Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (30.08.2024) Shift-II
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator increased by 1, the denominator becomes eight times the numerator. Find the fraction.
A3/7 ✓ Correct
B3/9
C3/8
D2/7
Correct answer: (A) 3/7 — The fraction is 3 over 7, so that is the answer.
Explanation
★The fraction is 3 over 7, so that is the answer.
★Let the numerator be x and the denominator y, so x equals y minus 4.
★After the changes, y plus 1 equals eight times (x minus 2).
★Substituting x gives y plus 1 equals 8 times (y minus 6).
★Solving gives y equals 7 and x equals 3.
★Hence the fraction is 3 over 7.
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