Test Index

IBPS Clerk Mains 29 Nov 2025 Paper

Question Numbers: 122-126

The pie chart shows the percentage of total number of teachers [ Physics + Chemistry] in four different university [A, B, C, and D].

The table shows the number of physics teacher in each university.

Total number teacher [ Physics + Chemistry] in all university together is 250. Average number of physics teacher in all university together is 37.

University	Number of physics teacher
A	60% of total number of teachers
B	Six less than 3 times of chemistry teacher of same university
C	X
D	33 more than average chemistry teacher of A and B together

Question : 125 of 155

Marks: +1, -0

Solution:

Concept:

Use each college's total teachers and the given physics conditions to find chemistry counts, then compare the required values.

Explanation:

Total teachers:

T_A = 0.16 \times 250 = 40

T_B = 0.20 \times 250 = 50

T_C = 0.40 \times 250 = 100

T_D = 0.24 \times 250 = 60

Total physics teachers

= 37 \times 4 = 148

For A:

P_A = 0.60 \times 40 = 24

, so

C_A = 40 - 24 = 16

For B:

P_B = 3C_B - 6

and

P_B + C_B = 50

Thus

(3C_B - 6) + C_B = 50 \Rightarrow C_B = 14

, and

P_B = 36

For D:

P_D = \frac{C_A + C_B}{2} + 33 = \frac{16 + 14}{2} + 33 = 48

, so

C_D = 60 - 48 = 12

For C:

P_C = 148 - (24 + 36 + 48) = 40

, so

C_C = 100 - 40 = 60

Chemistry lecturers of B and C together

= 14 + 60 = 74

Total lecturers of A

= 40

Required ratio

= 74 : 40 = 37 : 20

Answer:

37 : 20

(Option C).

Go to Question:

Prev Question

Next Question