SSC CGL 2024 Tier-I · 19 September 2024, Shift 1 · General Intelligence and Reasoning · Question 14 of 100

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 10 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

Six numbers 5, 6, 7, 8, 9 and 10 are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the number on the face opposite to ‘7’.

(a)8
(b)10
(c)9
(d)6

Answer

Why

Correct — B. The face marked 8 is on the left in both drawings, so the die has simply been turned about it.

Rule: a face is never opposite a face it is shown touching.

View 1 shows 7 on top, 8 on the left, 9 on the right. View 2 shows 9 on top, 8 on the left, 10 on the right.

So 8 touches 7, 9 and 10, and 9 touches 7, 8 and 10.

Neither of them can partner 7, 9 or 10, so their partners must be the two faces never drawn, 5 and 6 — and that uses both up. The last pair left over is 7 with 10: option (b).

Why the others are wrong

(a)
8 — 8 is drawn beside 7 in the first view, 7 on top and 8 on the left of the same cube. Two faces you can see in one picture share an edge, so they cannot be opposite.
(c)
9 — 9 also sits beside 7 in the first view, on the right of the same cube. Same objection: a visible neighbour is never the opposite face.
(d)
6 — 6 appears in neither view, which tempts you to hide it opposite 7. But 5 and 6 are forced to be the partners of 8 and of 9, so 6 is already committed.

Concept

Two views of one die give you adjacency directly and opposition only by elimination. Every face visible in a single isometric drawing shares an edge with the other two in that drawing.

Collect those neighbours across both views. A cube face touches four others and is opposite exactly one, so a face's partner has to come from what you have never seen it touching.

Here 8 and 9 each pick up three neighbours, which drives their partners into the unseen pair 5 and 6, and the two numbers left over must pair with each other.

You never have to decide which way the die was rotated. Listing neighbours settles the question on its own, and it is faster than trying to picture the turn.

Key facts

A cube has three opposite pairs, and no face is ever adjacent to its own opposite.
All three faces visible in one isometric drawing of a die are mutually adjacent.
When a face holds the same position in both views, the die was rotated about that face.

Study next

Three-view dice, where the repeated face carries across all three drawingsDice built from a net, where opposite faces are separated by one square in a stripDice labelled with letters or symbols instead of numerals

Common traps

Assuming the number missing from both drawings must be the answer
Reading the two drawings as two different dice rather than one die turned
Pairing a face with a number it is shown next to

SSC draws two or three isometric positions of one die and asks for a single opposite face. A numbers version with three views is at 9 Sep 2024, 09:00, Reasoning Q.18, and a symbols version at 13 Sep 2024, 12:30, Reasoning Q.25.

Related PYQs

No directly related past PYQ was found.