Question

Out of 51,600 candidates who appeared in an examination, 35% failed, while 15% passed with honours. what is the number of candidates who passed the examination, but failed to obtain honours, if no student who has failed can obtain honours?

a) 25,000
b) 30,000
c) 27,309
d) 28,509

Answer 1

The number of candidates who passed the examination but did not obtain honors is 25,800.

Step-by-step explanation:

To calculate the number of candidates who passed the examination but did not obtain honors, we need to follow a few steps. Given that 35% failed and 15% passed with honors, we can find out how many passed without honors. First, we calculate the total number of students who failed:

• Number of students who failed = 35% of 51,600 = 0.35 × 51,600 = 18,060.

Next, we determine the number of students who passed with honors:

• Number of students who passed with honors = 15% of 51,600 = 0.15 × 51,600 = 7,740.

Now, subtracting the number of candidates who failed and the number who passed with honors from the total candidates, we get the number of candidates who passed without honors:

• Number of candidates who passed without honors = Total candidates - (Candidates who failed + Candidates who passed with honors)
• Number of candidates who passed without honors = 51,600 - (18,060 + 7,740)
• Number of candidates who passed without honors = 51,600 - 25,800
• Number of candidates who passed without honors = 25,800