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.
83. Mohan Gupta may have joined:
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.
83. Mohan Gupta may have joined:
Show Hint
- Techno Institute which had 5 star rating
- Deccan College which had 5 star rating
- Anipal Institute which had 4 star rating
- Chemical College which had 4 star rating
The Correct Option is D
Solution and Explanation
Mohan is directly ruled out of Barla College. Sarah is fixed at Techno Institute by direct statement, so Mohan cannot be there either. Ms. Reddy is fixed at Anipal Institute, and Mohan's surname is Gupta, not Reddy, so Mohan is not at Anipal. That leaves Deccan College and Chemical College as the only two possibilities for Mohan.
Step 2: Work out the ratings of Deccan and Chemical.
Barla is the unique five-star college (given directly), and Priya's college works out to be the unique three-star college, since Techno outranks Priya's college and Techno itself is four star, being lower than Barla's five star. The three-star college is not Deccan (given), and it turns out to be Anipal once Ms. Reddy's non-five-star Anipal college is matched to Priya's three-star college. With Barla at five star and Anipal at three star, the only ratings left for Techno, Deccan and Chemical are four star each, since only one college is five star and only one is three star.
Step 3: Decide between Deccan and Chemical for Mohan.
Jackie needs to be at a four-star college (given), and once Sarah, Swati and Priya are placed at Techno, Barla and Anipal, the two colleges left, Deccan and Chemical, are split between Jackie and Mohan. Matching this against the surname pattern, Swati - Sanyal at Barla, Sarah - Kumar at Techno, Priya - Reddy at Anipal, and Chatterjee/Gupta left for Jackie/Mohan, places Jackie at Deccan and Mohan, whose surname is Gupta, at Chemical College.
Final Answer:
Mohan Gupta joined Chemical College, which is rated four star. \[ \boxed{\text{Chemical College, 4 star}} \]
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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?
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