SSC CGL 2024 Tier-I · 10 September 2024, Shift 2 · General Intelligence and Reasoning · Question 19 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 6 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 letters U, V, W, X, Y and Z are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to Z.

(a)W
(b)Y
(c)U
(d)X

Answer

Why

Correct — B. W shows in the same position in both views, so the dice has simply been spun about the W face.

Rule: a face that repeats in the same position is the axis, and the other four faces keep their cyclic order as the dice turns about it.

Reading each view in the same order, top face then right face: view 1 gives U then Y, and view 2 gives V then Z.

Those two readings overlap into one ring: U, Y, V, Z. In a ring of four, the faces two apart are the opposite pairs, so U faces V and Y faces Z.

The face opposite Z is Y — option (b). X, which never appears, is the partner of W.

Why the others are wrong

(a)
W — W keeps the same position in both views, which is exactly what makes it the axis of the spin. Every face that shows beside W touches it, so W is adjacent to Z, not opposite it.
(c)
U — U and Z are one step apart in the ring U, Y, V, Z, so they are adjacent faces. Only faces two steps apart are opposite.
(d)
X — X never appears in either view, which places it behind W. X is opposite W, so it shares an edge with Z rather than facing it.

Concept

Two views of a dice with one face repeated in the same position is the friendliest form of this question. The repeated face is the axis of the turn.

The other four faces sit in a ring around that axis, and a turn about the axis preserves the order of the ring. Read both views in the same order — top face, then right face — and the two readings overlap enough to fix the whole ring.

Once the ring is known, opposite pairs are the faces two steps apart on it.

The letter that never appears, X here, is the partner of the repeated face. That is worth checking as a cross-check, because it must fall out of the same ring.

Key facts

W is the front-left face in both views, so W is the axis and X, absent from both, is opposite it.
The ring around W reads U, Y, V, Z, which makes U opposite V and Y opposite Z.
In a ring of four faces the opposite pairs are the ones two steps apart.
Any two faces visible in the same picture share an edge and can never be opposite.

Study next

Dice questions with three views and no face repeated between themDice presented as an unfolded net that has to be folded mentallyQuestions asking which of four given dice cannot be the same die

Common traps

Treating two faces shown together in one view as opposite, when faces seen together are always adjacent
Reading the ring from a single view, which fixes only two of the four side faces
Forgetting that the face missing from both views is the partner of the repeated face

A repeated face across the two positions settles a dice item without any rotation, so look for the repeat before you start turning the cube.

This shift also asks a dice item at Reasoning Q.25, where the repeat alone settles it, and 10 Sep 2024, 16:00, Reasoning Q.16 gives three positions instead.

Related PYQs

No directly related past PYQ was found.