Quantitative Reasoning

Miscellaneous

Medium

The minimum number of colours to required paint all sides of a cube that no two adjacent faces may have the same colour is.

✅ Correct Option: 3

A cube has 6 faces, arranged as 3 pairs of opposite faces. Opposite faces are not adjacent to each other, so they can be painted in the same colour. Thus, each pair can share one colour, requiring minimum 3 different colours.

2022: 8 Aug Shift 1

The total number of people owing books more than '40' is

2022: 26 Aug Shift 1

If $\Delta$ stands for the operation on adding first number to the twice of the second number. Then, find the value of $(2\ \Delta\ 3)\ \Delta\ 4$ .

2026: 6 June Shift 1

Match List-I with List-II (Symbols have their usual meaning)

List-I (Expression)	List-II (Definitions)
(A) $a_n = a + [n-1]d$	(I) $n^{th}$ term of Geometric Progression
(B) $s_n = \frac{n}{2}[2a + (n-1)d]$	(II) Sum of n terms of Geometric Progression
(C) $a_n = ar^{n-1}$	(III) $n^{th}$ term of Arithmetic Progression
(D) $s_n = a\left(\frac{r^n - 1}{r-1}\right)$	(IV) Sum of n terms of Arithmetic Progression

Choose the correct answer from the options given below:

2022: 24 Aug Shift 1

Select the correct set of symbols which will fill in the given equation.

$5\_0\_3\_5=20$

2023: 1 June Shift 1

If $243^{3x} = 27^{(4x-1)}$ , then the value of $4^x$ is:

2025: 15 May Shift 1

If : $a + b + c = 14$ and $a^2 + b^2 + c^2 = 96$ , then $(ab + bc + ca)$ is

The minimum number of colours to required paint all sides of a cube that no two adjacent faces may have the same colour is.

Solution

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