Study carefully the table given below and answer the question asked here under. A college has four programs B.A., B.Sc., B.Com. and B.B.A. The results of the mid-semester and end-semester tests are shown in the table given below.
| Results | B.A. | B.Sc. | B.Com. | B.B.A. |
|---|---|---|---|---|
| Failed in both tests | 28 | 23 | 17 | 27 |
| Failed in mid-semester test but passed in end-semester test | 14 | 12 | 8 | 13 |
| Passed in mid-semester test but failed in end-semester test | 6 | 17 | 9 | 15 |
| Passed in both tests | 64 | 55 | 46 | 76 |
How many students are there in the four programs?
A420
B430 ✓ Correct
C320
D330
Correct answer: (B) 430
Explanation
Add up every cell. Column totals are B.A. = 28 + 14 + 6 + 64 = 112, B.Sc. = 23 + 12 + 17 + 55 = 107, B.Com. = 17 + 8 + 9 + 46 = 80, B.B.A. = 27 + 13 + 15 + 76 = 131. Their sum is 112 + 107 + 80 + 131 = 430.
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