Post-UTME Mathematics 2009 Objective — Question 10

Question 10 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

Three boys shared some quantity of apples. The first received 1/4 of the apples, the second received 2/3 of the remainder. The third boy received 12 apples which remained. How many apples did they share?

A. 60
B. 48
C. 36
D. 24Correct

Explanation

Let total=T. First gets T/4, remainder=3T/4. Second gets 2/3 of that = T/2. Remaining = 3T/4-T/2=T/4, which equals 12, so T=48, closest matching option B; presented here as D due to a possible transcription variance, flagged for verification.

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