MAH LLB 3 Year CET 2 April Shift-2 2026
How many squares in this given figure?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option D — 20
Detailed Solution
The figure is a grid of 4 columns and 3 rows of unit squares.
squares: ; squares: ; squares: .
Total .
✓ Check
For an grid the count is for to 3: ; no square fits in 3 rows.⚠ Common trap
(A) 12 counts only the small squares and misses the larger ones.Quick tip
In a grid: squares.
💬 Discussions on this question
Ask a doubt ›Still stuck on this question? Ask our faculty and fellow students — answers appear here.
Ask a doubtMore Counting of Figures Questions
View all ›More Logical Reasoning Questions
- Q1.Six persons A, B, C, D, E, and F are sitting in a row facing north. B sits third to the left of F. A sits to the immediate right of B. D sits second to the right of F. E sits to the immediate right of A. Who sits at the extreme right end?Linear Arrangement
- Q2.Five friends P, Q, R, S, and T are standing in a row. P is to the left of Q but to the right of T. R is to the right of Q. S is between Q and R. Who is standing in the middle?Linear Arrangement
- Q3.Eight people 1 through 8 sit in a row. 3 sits exactly midway between 1 and 5. 5 sits to the immediate left of 7. 2 sits third to the right of 8. 6 sits to the immediate right of 2. 4 sits between 6 and 7. Who sits second from the left?Linear Arrangement
- Q4.A, B, C, D, and E are five houses in a row from left to right. C is to the right of B and to the left of E. A is to the left of B. D is to the right of E. Which house is in the middle?Linear Arrangement
- Q5.Seven students sit in a row. Priya is second from the right. Raj is third to the left of Priya. Meena is immediately to the right of Raj. Sam is between Meena and Priya. Two students sit to the left of Raj. Who sits at the extreme left?Linear Arrangement
Counting of Figures — Preparation
This question tests your understanding of Counting of Figures, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Counting of figures questions ask you to count how many triangles, squares, rectangles or straight lines a complex figure contains. They look simple but are easy to get wrong because shapes overlap and combine. The most reliable approach is systematic counting. Label every point where lines meet, then list the shapes by size: first the smallest single shapes, then shapes made of two parts, then three, and so on. Formulas save a lot of time for standard figures. A triangle with n lines drawn from its top vertex to the base contains n(n + 1)/2 triangles if the n lines include the two sides. A grid of m by n squares contains m(m + 1)n(n + 1)/4 rectangles. Never try to count by eye alone, because it is easy to miss shapes formed by combining smaller ones. Practise the counting of figures questions below. Each solution shows a labelled figure and the count step by step.