Question

Five people joined different engineering colleges. Their first names were Sarah (Ms.), Swati (Ms.), Jackie, Mohan and Priya (Ms.). The surnames were Reddy, Gupta, Sanyal, Kumar and Chatterjee. Except for one college which was rated as 3 star, all other colleges were rated either 4 star or 5 star.

The 'Techno Institute' had a higher rating than the college where Priya studied. The three-star college was not 'Deccan College.' Mohan's last name was Gupta, but he did not study at 'Barla College.' Sarah, whose last name was not Sanyal, joined 'Techno Institute.' Ms. Kumar and Jackie both studied at four-star colleges. Ms. Reddy studied at the 'Anipal Institute,' which was not a five-star college. The 'Barla College' was a five-star college. Swati's last name was not Chatterjee. The 'Chemical College' was rated one star less than the college where Sanyal studied. Only one college was rated five star.

81. Which is the correct combination of first names and surnames?

• A. Mohan Gupta, Sarah Kumar, Priya Chatterjee
• B. Priya Chatterjee, Sarah Sanyal, Jackie Kumar
• C. Jackie Sanyal, Swati Reddy, Mohan Gupta
• D. Jackie Chatterjee, Priya Reddy, Swati Sanyal

Hint:

Barla is the only five-star college, and Techno being higher-rated than Priya's college forces Priya onto the unique three-star college; work the surnames out from there.

Answer 1

The Correct Option is D

Step 1: Fix Barla College's rating and Priya's rating.
Barla College is stated to be a five-star college, and only one college in the whole set is five star, so Barla is the unique five-star college. The Techno Institute has a higher rating than Priya's college, and Techno cannot itself be the unique five-star college, since that is Barla, so Techno must be four star, which forces Priya's college to be the three-star one, the lowest rating available.

Step 2: Place Priya.
The three-star college is not Deccan College (given), so Priya's college is Anipal Institute or Chemical College. Ms. Reddy is stated to study at Anipal Institute, which is not five star. Testing the rule that Chemical College is one star less than Sanyal's college: if Sanyal's college is Barla (five star), Chemical becomes four star, and the only college left as three star is Anipal, so Priya, who is at the three-star college, is at Anipal, making Priya's surname Reddy. This fits together cleanly.

Step 3: Fix Sarah and Swati.
Sarah's surname is not Sanyal and Sarah joined Techno Institute (given). Mohan's surname is Gupta and he did not join Barla, so Mohan is not the Barla (Sanyal) student either. Since Priya is Reddy and Sarah is not Sanyal, the Sanyal surname, which belongs to the Barla student, has to be Swati's or Jackie's. But Jackie must be at a four-star college (from the clue that Ms. Kumar and Jackie both studied at four-star colleges), while Barla is five star, so Jackie cannot be the Barla student. That leaves Swati as the Barla student with the surname Sanyal.

Step 4: Fix Sarah's and Jackie's surnames.
The surnames left for Sarah and Jackie are Kumar and Chatterjee. Ms. Kumar must be female, so Kumar's first name has to be one of Sarah, Swati or Priya. Swati is already Sanyal and Priya is already Reddy, so Kumar must be Sarah. That leaves Chatterjee for Jackie.

Final Answer:
The five pairs work out to Sarah Kumar (Techno, four star), Swati Sanyal (Barla, five star), Priya Reddy (Anipal, three star), Jackie Chatterjee (Deccan, four star) and Mohan Gupta (Chemical, four star). The option that lists three of these correctly is Jackie Chatterjee, Priya Reddy, Swati Sanyal. \[ \boxed{\text{Jackie Chatterjee, Priya Reddy, Swati Sanyal}} \]