NIMCET 2022 — Reasoning PYQ

1. Counting Horizontal-Vertical Squares (1×1):

The main grid is a rectangle of 4×2 small units. The base squares visible are:

• Top row: 4 squares

• Bottom row: 4 squares

• Total 1×1 squares = 8

2. Counting Horizontal-Vertical Squares (2×2):

We look for larger squares made of four small unit squares:

• Left side (Columns 1 & 2)

• Middle (Columns 2 & 3)

• Right side (Columns 3 & 4)

• Total 2×2 squares = 3

3. Counting Tilted (Diagonal) Squares:

Within each 1×1 unit, there are diagonals crossing. When two adjacent units are combined, their internal diagonals form a square rotated by 45 degrees.

• Look at the intersections of the diagonals:

  • One tilted square is formed between unit 1 and unit 2.

  • One tilted square is formed between unit 2 and unit 3.

  • One tilted square is formed between unit 3 and unit 4.

• Total tilted squares = 3

Total Calculation

We sum all the identified squares:

Total Squares=(Small 1×1)+(Large 2×2)+(Tilted Squares)

Total=8+3+3

Total=14

Final Answer:

The total number of squares in the figure is 14.

Correct Option: (A)