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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
A company plans to open a branch office and wants to send one Manager, who must be an M.Com, M.B.A or an M.A, three Marketing Executives, who must be M.B.As, two Finance Personnel who must be either M.Com or M.B.A, two Accountants who must be either B.Com or M.Com and four Clerks who must be B.Com or B.A. For this purpose, they can choose from among three M.Com persons of whom one is a girl and two are boys, one M.A. girl, four M.B.A boys, four B.Com persons of whom one is a girl and three B.A. persons of whom one is a girl available with the company. If a girl is chosen in a cadre at least one other girl in the same cadre must be chosen, except when a girl is chosen as a Manager.
Question 1
Which of the following statements is false?
a) None of the boys with B.A. is sent to the branch.
b) At least one of the boys with M.Com must be sent to the branch.
c) The girl with M.A can be the Manager of the branch.
d) No girl is sent to the branch.
Question 2
If none of the boys with B.A is sent, then which of the following is false?
All the boys except the boys with B.A must be sent to the branch.
All the girls must be sent to the branch.
All the boys with MBA must be selected.
a) Only (1)
b) Only (2)
c) Only (3)
d) Only (1) and (2)
Question 3
Which of the following statements is true?
a) Only (2)
b) Only (3) and (1)
c) Only (1)
d) Only (3)
Question 4
If none of the four boys with MBA is sent, then what is the number of persons that need to be hired to fill all the positions?
a) One
b) Two
c) Three
d) Four
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✅ Answers & Explanations
Set 1
Total posts = 12
Available persons = 15
Key restrictions:
Manager can be M.Com / M.B.A / M.A. A girl can be Manager alone.
Marketing Executives must be M.B.A. Since all 4 M.B.A candidates are boys, all Marketing Executives will be boys.
Finance Personnel must be M.Com / M.B.A. The only eligible girl here is the M.Com girl. Since Finance has 2 posts, if she is selected, another girl must be selected in Finance, which is impossible. So M.Com girl cannot be in Finance.
Accountants must be B.Com / M.Com. The eligible girls are M.Com girl and B.Com girl. So if girls are selected as Accountants, both must be selected together.
Clerks must be B.Com / B.A. The eligible girls are B.Com girl and B.A girl. So if girls are selected as Clerks, both must be selected together.
Solutions
Question 1
12 people are needed, but only 11 boys are available. So at least one girl must be sent.
Answer: d) No girl is sent to the branch.
Question 2
If none of the B.A boys is sent, then 2 persons are already excluded. Since only 3 out of 15 can be excluded, only one more person can be left out.
All 4 girls cannot be selected together because the B.Com girl would be needed both as Accountant and Clerk. Hence the false statement is that all girls must be sent.
Answer: b) Only (2)
Question 3
All 4 girls cannot be selected together due to cadre restrictions. So not more than three girls can be sent.
Answer: c) Only (1)
Question 4
Marketing Executives must be M.B.A. If none of the 4 M.B.A boys is sent, then all 3 Marketing Executive posts require new hires.
Answer: c) Three
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!