The students in College X must take two, and no more, of these five subjects: computing, electronics, mechanics, architecture, and...

Understanding the Question

We need to determine whether Student G is taking psychology.

Given Information:

• Students must take exactly 2 subjects from: computing, electronics, mechanics, architecture, and psychology
• Constraints:
  • Computing → NO psychology
  • Electronics → NO architecture
  • Mechanics → NO electronics

For this yes/no question to be sufficient, we need to establish definitively whether G is taking psychology (YES) or not taking psychology (NO).

Analyzing Statement 1

Statement 1 tells us: G is taking architecture as one of her two subjects.

Since G must take exactly 2 subjects and one is architecture, let's identify what the second subject could be:

• Architecture + Computing ✓ (allowed)
• Architecture + Electronics ✗ (electronics excludes architecture)
• Architecture + Mechanics ✓ (allowed)
• Architecture + Psychology ✓ (allowed)

So G's second subject could be computing, mechanics, or psychology. Since psychology is one of three possible options, we cannot determine whether G is taking it or not.

[NOT SUFFICIENT]

This eliminates choices A and D.

Analyzing Statement 2

Now let's forget Statement 1 completely and analyze Statement 2 independently.

Statement 2 tells us: G is taking neither electronics nor computing.

This leaves three subjects for G to choose from: mechanics, architecture, and psychology. Since G must take exactly 2 subjects from these 3, the possible combinations are:

• Mechanics + Architecture → G is NOT taking psychology
• Mechanics + Psychology → G IS taking psychology
• Architecture + Psychology → G IS taking psychology

All three combinations are valid under the given constraints. In one scenario G is not taking psychology, while in two scenarios G is taking psychology. Since we get different answers depending on which valid combination G chooses, we cannot determine definitively whether G is taking psychology.

[NOT SUFFICIENT]

This eliminates choice B.

Combining Statements

Using both statements together:

• From Statement 1: G is taking architecture (as one of two subjects)
• From Statement 2: G is not taking electronics or computing

Since G has architecture as one subject and cannot take electronics or computing, the only options for the second subject are mechanics or psychology.

This gives us two possible combinations:

1. Architecture + Mechanics → G is NOT taking psychology
2. Architecture + Psychology → G IS taking psychology

Both combinations satisfy all constraints, yet they give opposite answers to our question. We still cannot determine whether G is taking psychology.

[NOT SUFFICIENT]

This eliminates choice C.

The Answer: E

Even with both statements combined, we cannot determine whether Student G is taking psychology because both "yes" and "no" remain possible.

Answer Choice E: The statements together are not sufficient.