SSC CGL Counting Figures Questions with Detailed Solutions

Get SSC CGL Counting Figures Questions to prepare for your upcoming exam. Solve the most expected questions and detailed solutions that can be asked in the exam.

Important SSC CGL Counting Figures Questions

Q1.

How many triangles are there in the given figure?

  • A.

    12

    ✓ Correct
  • B.

    11

  • C.

    14

  • D.

    13

Answer & Solution

Correct option is A

Let's check:

Thus, the correct option is: (a)

Q2.

How many triangles are there in the figure given below?

  • A.

    42

  • B.

    44

  • C.

    45

    ✓ Correct
  • D.

    46

Answer & Solution

Correct option is C

Divide the figure into groups:
Triangles formed from the outer triangle and horizontal lines = 21
Triangles formed using the central vertical line = 14
Triangles formed inside the smaller inverted triangle = 8
Two larger triangles formed by combining the outer and inner slanting lines = 2
Therefore,
21 + 14 + 8 + 2 = 45
Answer: C — 45
Q3.

How many triangles are there in the given figure?

  • A.

    12

  • B.

    32

  • C.

    24

    ✓ Correct
  • D.

    16

Answer & Solution

Correct option is C

Given
A composite geometric figure composed of connected quadrilateral and triangular blocks

Formula Used
Number of triangles in a square/rectangle with diagonals = 2n (where n is the number of small parts)

Solution 

Final Answer
So the correct answer is (c)

Q4.

How many triangles are there in the given figure?

  • A.

    11

  • B.

    21

  • C.

    18

  • D.

    15

    ✓ Correct

Answer & Solution

Correct option is D

Given 

Solution 


Adding all valid non-overlapping and combined triangles gives a total of 15 triangles.

Final Answer
So the correct answer is (d)

Q5.

How many triangles are there in the given figure?

  • A.

    17

  • B.

    21

    ✓ Correct
  • C.

    28

  • D.

    11

Answer & Solution

Correct option is B

Given 

Formula Used
Triangular counting rule for divided triangles.

Solution 


Summing all individual and combined triangles gives 21.

Final Answer
So the correct answer is (b)

Q6.

How many triangles are there in the given figure?

  • A.

    6

  • B.

    7

    ✓ Correct
  • C.

    8

  • D.

    9

Answer & Solution

Correct option is B

Let's check:

Thus, the correct option is: (b)

Q7.
How many triangles are there in the given figure?
  • A.

    5

  • B.

    6

    ✓ Correct
  • C.

    7

  • D.

    8

Answer & Solution

Correct option is B

Let's check:

Thus, the correct option is: (b)

Q8.

How many triangles are there in the given figure?

  • A.

    2

  • B.

    3

    ✓ Correct
  • C.

    4

  • D.

    5

Answer & Solution

Correct option is B

Given 

Formula Used  
There are 3 total triangles. 



Final Answer
So the correct answer is (b)

Q9.
How many triangles are there in the given figure?
  • A.

    8

  • B.

    10

  • C.

    12

    ✓ Correct
  • D.

    14

Answer & Solution

Correct option is C

Let's chek:
Thus, the correct option is: (c)
Q10.

How many triangles are there in the given figure?

  • A.

    5

  • B.

    7

  • C.

    8

    ✓ Correct
  • D.

    9

Answer & Solution

Correct option is C

Let's check:
Thus, the correct option is: (c)
Q11.

How many triangles are there in the given figure?

  • A.

    6

  • B.

    7

    ✓ Correct
  • C.

    8

  • D.

    9

Answer & Solution

Correct option is B

Given
A geometric figure containing various intersecting line segments forming triangles.

Formula Used
Systematic counting of triangles (single regions and combinations of regions).

Solution 

Final Answer
So the correct answer is (b)

Q12.

How many triangles are there in the given figure?

  • A.

    8

  • B.

    9

  • C.

    10

    ✓ Correct
  • D.

    11

Answer & Solution

Correct option is C

Given
A geometrical figure containing multiple interconnected triangles.

Formula Used
Counting of simple and compound triangles.

Solution 

Final Answer
So the correct answer is (b)

Q13.

How many triangles are there in the given figure?

  • A.

    13

  • B.

    14

  • C.

    15

    ✓ Correct
  • D.

    16

Answer & Solution

Correct option is C

Given 

Formula Used
Systematic counting technique: Total Triangles = Single-part triangles + Multi-part combined triangles.

Solution 


Summing all the valid triangular shapes gives a total of 15 triangles.

Final Answer
So the correct answer is (c)

Q14.

How many triangles are there in the given figure?

  • A.

    5

  • B.

    9

    ✓ Correct
  • C.

    11

  • D.

    15

Answer & Solution

Correct option is B

Given
A geometric figure composed of intersecting lines forming multiple triangles.

Formula Used
Systematic counting of simple (single-part) and composite (multi-part) triangles.

Solution 

Summing all individual and composite triangles gives a total of 9 triangles.

Final Answer
So the correct answer is (b)

Q15.

How many triangles are there in the given figure?

  • A.

    9

  • B.

    10

    ✓ Correct
  • C.

    11

  • D.

    12

Answer & Solution

Correct option is B

Given
A geometric figure consisting of intersecting line segments forming triangles.

Formula Used
Systematic counting of individual triangles and combination triangles.

Solution 

Final Answer
So the correct answer is (b)