Question

What is the difference between the number of females who are non-graduates and the number of males who are graduates ?

• A. 2
• B. 24
• C. 4
• D. 116
• A. 184
• B. 96
• C. 156
• D. 196
• A. 6:1
• B. 8:1
• C. 8:3
• D. 5:2

Answer 1

The Correct Option is C

Step 1 — Recall the data from the passage:
- Total members = 240.
- Males = 160, Females = 80.
- Graduate males = 15% of 160 = 24.
- Non-graduate females = 80 − (3/4 × 80) = 80 − 60 = 20.

Step 2 — Compare the two groups:
- Number of non-graduate females = 20.
- Number of graduate males = 24.

Step 3 — Find the difference:
Difference = |24 − 20| = 4.

Step 4 — Conclude:
Thus, the difference between the number of females who are non-graduates and the number of males who are graduates is 4.

Answer: The correct option is (C) : 4.

Answer 2

Step 1 — Recall the data from the passage:
- Total males = 160, Total females = 80.
- Graduate males = 15% of 160 = 24 → Non-graduate males = 160 − 24 = 136.
- Graduate females = 3/4 of 80 = 60 → Non-graduate females = 80 − 60 = 20.

Step 2 — Identify the groups needed:
We need: (Number of graduate females) + (Number of non-graduate males).
= 60 + 136.

Step 3 — Calculate:
60 + 136 = 196.

Step 4 — Conclude:
Therefore, the sum of the number of females who are graduates and the number of males who are non-graduates is 196.

Answer: The correct option is (D) : 196.

Answer 3

Step 1 — Recall the data:
- Total males = 160.
- Total females = 80.
- Graduate females = 3/4 × 80 = 60 → Non-graduate females = 20.

Step 2 — Identify required ratio:
We need the ratio of (Total males) : (Non-graduate females).
= 160 : 20.

Step 3 — Simplify the ratio:
160 ÷ 20 : 20 ÷ 20 = 8 : 1.

Step 4 — Conclude:
Thus, the ratio between the total number of males and the number of non-graduate females is 8:1.

Answer: The correct option is (B) : 8:1.