Non-Verbal Reasoning: Figure Series and Mirror Images — MCQs with Answers (Set 1)

The letter ‘R’ shows up in both views. In View 1, ‘R’ sits next to ‘Y’ and ‘Z’. In View 2, ‘R’ sits next to ‘V’ and ‘X’. A cube face touches four other faces and never touches the face opposite it. So ‘R’ is next to ‘Y’, ‘Z’, ‘V’ and ‘X’. The one face never seen next to ‘R’ is its opposite. That face is ‘W’, so the answer is W.

The letter ‘K’ shows up in both views. In View 1, ‘K’ sits next to ‘M’ and ‘P’. In View 2, ‘K’ sits next to ‘L’ and ‘N’. A cube face touches four other faces and never touches the face opposite it. So ‘K’ is next to ‘M’, ‘P’, ‘L’ and ‘N’. The one face never seen next to ‘K’ is its opposite. That face is ‘O’, so the answer is O.

The letter ‘E’ shows up in both views. In View 1, ‘E’ sits next to ‘A’ and ‘F’. In View 2, ‘E’ sits next to ‘B’ and ‘C’. A cube face touches four other faces and never touches the face opposite it. So ‘E’ is next to ‘A’, ‘F’, ‘B’ and ‘C’. The one face never seen next to ‘E’ is its opposite. That face is ‘D’, so the answer is D.

The letter ‘U’ shows up in both views. In View 1, ‘U’ sits next to ‘P’ and ‘Q’. In View 2, ‘U’ sits next to ‘R’ and ‘S’. A cube face touches four other faces and never touches the face opposite it. So ‘U’ is next to ‘P’, ‘Q’, ‘R’ and ‘S’. The one face never seen next to ‘U’ is its opposite. That face is ‘T’, so the answer is T.

The letter ‘W’ shows up in both views. In View 1, ‘W’ sits next to ‘R’ and ‘Z’. In View 2, ‘W’ sits next to ‘V’ and ‘X’. A cube face touches four other faces and never touches the face opposite it. So ‘W’ is next to ‘R’, ‘Z’, ‘V’ and ‘X’. The one face never seen next to ‘W’ is its opposite. That face is ‘Y’, so the answer is Y.

The letter ‘N’ shows up in both views. In View 1, ‘N’ sits next to ‘M’ and ‘P’. In View 2, ‘N’ sits next to ‘L’ and ‘O’. A cube face touches four other faces and never touches the face opposite it. So ‘N’ is next to ‘M’, ‘P’, ‘L’ and ‘O’. The one face never seen next to ‘N’ is its opposite. That face is ‘K’, so the answer is K.

The letter ‘A’ shows up in both views. In View 1, ‘A’ sits next to ‘D’ and ‘E’. In View 2, ‘A’ sits next to ‘C’ and ‘F’. A cube face touches four other faces and never touches the face opposite it. So ‘A’ is next to ‘D’, ‘E’, ‘C’ and ‘F’. The one face never seen next to ‘A’ is its opposite. That face is ‘B’, so the answer is B.

The same letter ‘U’ shows up in both View 1 and View 2. In View 1, ‘U’ appears together with R and Q. In View 2, ‘U’ appears together with P and S. A cube face touches exactly four other faces, and never touches the one face opposite it. Between the two views, ‘U’ has now been seen next to four different faces. The one face never seen next to ‘U’ must be the face opposite it. That face is ‘T’, so the answer is T.

The number ‘6’ shows up in both views. In View 1, ‘6’ sits next to ‘2’ and ‘4’. In View 2, ‘6’ sits next to ‘7’ and ‘9’. A cube face touches four other faces and never touches the face opposite it. So ‘6’ is next to ‘2’, ‘4’, ‘7’ and ‘9’. The one face never seen next to ‘6’ is its opposite. That face is ‘8’, so the answer is 8.

The number ‘4’ shows up in both views. In View 1, ‘4’ sits next to ‘1’ and ‘2’. In View 2, ‘4’ sits next to ‘5’ and ‘9’. A cube face touches four other faces and never touches the face opposite it. So ‘4’ is next to ‘1’, ‘2’, ‘5’ and ‘9’. The one face never seen next to ‘4’ is its opposite. That face is ‘7’, so the answer is 7.

The number ‘7’ shows up in both views. In View 1, ‘7’ sits next to ‘4’ and ‘5’. In View 2, ‘7’ sits next to ‘6’ and ‘9’. A cube face touches four other faces and never touches the face opposite it. So ‘7’ is next to ‘4’, ‘5’, ‘6’ and ‘9’. The one face never seen next to ‘7’ is its opposite. That face is ‘8’, so the answer is 8.

The number ‘5’ shows up in both views. In View 1, ‘5’ sits next to ‘7’ and ‘9’. In View 2, ‘5’ sits next to ‘1’ and ‘8’. A cube face touches four other faces and never touches the face opposite it. So ‘5’ is next to ‘7’, ‘9’, ‘1’ and ‘8’. The one face never seen next to ‘5’ is its opposite. That face is ‘3’, so the answer is 3.

The number ‘2’ shows up in both views. In View 1, ‘2’ sits next to ‘5’ and ‘6’. In View 2, ‘2’ sits next to ‘7’ and ‘8’. A cube face touches four other faces and never touches the face opposite it. So ‘2’ is next to ‘5’, ‘6’, ‘7’ and ‘8’. The one face never seen next to ‘2’ is its opposite. That face is ‘3’, so the answer is 3.

The number ‘1’ shows up in both views. In View 1, ‘1’ sits next to ‘2’ and ‘3’. In View 2, ‘1’ sits next to ‘4’ and ‘5’. A cube face touches four other faces and never touches the face opposite it. So ‘1’ is next to ‘2’, ‘3’, ‘4’ and ‘5’. The one face never seen next to ‘1’ is its opposite. That face is ‘6’, so the answer is 6.

The number ‘4’ shows up in both views. In View 1, ‘4’ sits next to ‘7’ and ‘8’. In View 2, ‘4’ sits next to ‘2’ and ‘6’. A cube face touches four other faces and never touches the face opposite it. So ‘4’ is next to ‘7’, ‘8’, ‘2’ and ‘6’. The one face never seen next to ‘4’ is its opposite. That face is ‘9’, so the answer is 9.

The number ‘4’ shows up in both views. In View 1, ‘4’ sits next to ‘1’ and ‘5’. In View 2, ‘4’ sits next to ‘7’ and ‘9’. A cube face touches four other faces and never touches the face opposite it. So ‘4’ is next to ‘1’, ‘5’, ‘7’ and ‘9’. The one face never seen next to ‘4’ is its opposite. That face is ‘2’, so the answer is 2.

The number ‘4’ shows up in both views. In View 1, ‘4’ sits next to ‘6’ and ‘9’. In View 2, ‘4’ sits next to ‘5’ and ‘7’. A cube face touches four other faces and never touches the face opposite it. So ‘4’ is next to ‘6’, ‘9’, ‘5’ and ‘7’. The one face never seen next to ‘4’ is its opposite. That face is ‘8’, so the answer is 8.

The number ‘1’ shows up in both views. In View 1, ‘1’ sits next to ‘7’ and ‘9’. In View 2, ‘1’ sits next to ‘5’ and ‘8’. A cube face touches four other faces and never touches the face opposite it. So ‘1’ is next to ‘7’, ‘9’, ‘5’ and ‘8’. The one face never seen next to ‘1’ is its opposite. That face is ‘3’, so the answer is 3.

The number ‘8’ shows up in both views. In View 1, ‘8’ sits next to ‘2’ and ‘7’. In View 2, ‘8’ sits next to ‘3’ and ‘6’. A cube face touches four other faces and never touches the face opposite it. So ‘8’ is next to ‘2’, ‘7’, ‘3’ and ‘6’. The one face never seen next to ‘8’ is its opposite. That face is ‘5’, so the answer is 5.

The number ‘5’ shows up in both views. In View 1, ‘5’ sits next to ‘1’ and ‘4’. In View 2, ‘5’ sits next to ‘2’ and ‘3’. A cube face touches four other faces and never touches the face opposite it. So ‘5’ is next to ‘1’, ‘4’, ‘2’ and ‘3’. The one face never seen next to ‘5’ is its opposite. That face is ‘6’, so the answer is 6.

A letter needs both kinds of symmetry to pass this test. Only H, I, O, and X have both. The word ‘OXIDATION’ has 9 letters. Checking each one against that list gives a match every time it appears: O, X, I, I, O. That is 5 matching letters in total, so the answer is 5.

A letter needs both kinds of symmetry to pass this test. Only H, I, O, and X have both. The word ‘HORIZON’ has 7 letters. Checking each one against that list gives a match every time it appears: H, O, I, O. That is 4 matching letters in total, so the answer is 4.

A letter has the same water image only if it is symmetric top to bottom. The standard list is C, D, E, H, I, K, O, and X. The word ‘DECIDE’ has 6 letters. Checking each one against that list gives a match every time it appears: D, E, C, I, D, E. That is 6 matching letters in total, so the answer is 6.

Count only the downward-pointing triangles, one size at a time. These are harder to spot than the upward-pointing ones, since they point the other way. Start with the smallest, unit-sized downward triangles, then any larger ones. Adding every size of downward-pointing triangle gives 13 in total. The upward-pointing triangles, which total 35, are not part of this count. The correct number of downward-pointing triangles is 13.

Count only the downward-pointing triangles, one size at a time. These are harder to spot than the upward-pointing ones, since they point the other way. Start with the smallest, unit-sized downward triangles, then any larger ones. Adding every size of downward-pointing triangle gives 7 in total. The upward-pointing triangles, which total 20, are not part of this count. The correct number of downward-pointing triangles is 7.