DIRECTIONS for questions: Select the correct alternative from the given choices. During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?I. 12.5II. 13.6III. 14a) Only Ib) Only IIc) Only I and IIId) Only II and IIICorrect answer is option 'B'. Can you explain this answer?

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DIRECTIONS for questions: Select the correct alternative from the given choices.

During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?

I. 12.5

II. 13.6

III. 14

a)
Only I
b)
Only II
c)
Only I and III
d)
Only II and III

Correct answer is option 'B'. Can you explain this answer?

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DIRECTIONS for questions: Select the correct alternative from the giv...

Let the number of students who get placed in Finance, Marketing, Operations and IT be f, m, o and i.

The average of the annual CTC’s of the students who are placed in M, F and O is 13.

=> The sum of the annual CTC’s of the students who are placed in M, F, O is 13(m + f + o) → (1)

Similarly, the sum of the annual CTC's of the students who are placed in F, O, I is 14(f + o + i) → (2)

The sum of the annual CTC’s of the students who are placed in M, O, I is 12(m + o + i) → (3)

The sum of the annual CTC’s of the students who are placed in M, F, I is 15(m + f + i) → (4}

We can observe that each of the four different sectors appears in exactly three of (1), (2), (3) and (4).

∴The average annual CTC of the students placed

Since, m + 2i + 3f will be less than 3 ( m + f + o + i), then average annual CTC of the students will be between 13 and 14.

∴Among the given options only II is possible.

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DIRECTIONS for questions: Select the correct alternative from the giv...

To find the average annual CTC of all the students placed, we need to consider the given information about the averages of the annual CTCs of the students placed in different sectors.

Let's analyze the given data:

1. The averages of the annual CTCs of the students placed in M, F, O together is Rs.13 lakh.
2. The averages of the annual CTCs of the students placed in F, O, I together is Rs.14 lakh.
3. The averages of the annual CTCs of the students placed in M, O, I together is Rs.12 lakh.
4. The averages of the annual CTCs of the students placed in M, F, I together is Rs.15 lakh.

From the given information, we can form the following equations:

(M + F + O) / 3 = 13 ---> Equation 1
(F + O + I) / 3 = 14 ---> Equation 2
(M + O + I) / 3 = 12 ---> Equation 3
(M + F + I) / 3 = 15 ---> Equation 4

Now, let's solve these equations to find the values of M, F, O, and I.

Adding Equation 1, Equation 2, Equation 3, and Equation 4, we get:

3M + 3F + 3O + 3I = 54
M + F + O + I = 18 ---> Equation 5

Subtracting Equation 3 from Equation 5, we get:

2M + 2F + 2O = 6
M + F + O = 3 ---> Equation 6

Subtracting Equation 6 from Equation 5, we get:

I = 15 ---> Equation 7

Substituting Equation 7 in Equation 2, we get:

F + O = 29 ---> Equation 8

Substituting Equation 7 in Equation 4, we get:

M + F = 0 ---> Equation 9

Substituting Equation 9 in Equation 6, we get:

O = 3

Now, we have the values of M, F, O, and I:

M = 0
F = 29
O = 3
I = 15

The average annual CTC of all the students placed can be calculated by summing up the values of CTCs in each sector and dividing by the total number of students:

(0 + 29 + 3 + 15) / 4 = 47 / 4 = 11.75 lakh

Hence, the average annual CTC of all the students placed is 11.75 lakh.

Therefore, none of the given options (I, II, III) could possibly be the average annual CTC of all the students placed.

Answered by Wizius Careers · View profile

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DIRECTIONS for questions: Select the correct alternative from the given choices. During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?I. 12.5II. 13.6III. 14a) Only Ib) Only IIc) Only I and IIId) Only II and IIICorrect answer is option 'B'. Can you explain this answer?

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DIRECTIONS for questions: Select the correct alternative from the given choices. During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?I. 12.5II. 13.6III. 14a) Only Ib) Only IIc) Only I and IIId) Only II and IIICorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for questions: Select the correct alternative from the given choices. During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?I. 12.5II. 13.6III. 14a) Only Ib) Only IIc) Only I and IIId) Only II and IIICorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Select the correct alternative from the given choices. During the placements in an MBA college, students were placed in four different sectors -Marketing (M), Finance (F), Operations (O) and IT (I). The averages of the annual CTCs of the students placed in M, F, O together and F, O, I together are Rs.13 lakh and Rs.14 lakh respectively, while the averages of the annual CTCs of the students placed in M, O, I together and M, F, I together are Rs.12 lakh and Rs.15 lakh respectively. Which of the following (in Rs. lakhs) could possibly be the average annual CTC of all the students placed?I. 12.5II. 13.6III. 14a) Only Ib) Only IIc) Only I and IIId) Only II and IIICorrect answer is option 'B'. Can you explain this answer?.

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