In a city state, government officials never tell the truth and those who are not government officials alwaysntell the truth. A visitor meets three residents of the city state and asks one of them,” Are you a government official?”
The first resident answer the question. The second native then reports that the first resident denied being a government official. The third resident says that the first resident is a government officials.
A. How many of these three residents are not government officials?
(1) 1 (2) 3 (3) 2 (4) Insufficient data
B. What is the order in which the three residents statements are true/false
(1) True, True, False (2) False, False, True
(3) True, True, True (4) Insufficient data
Answer:
The second resident always speaks truth (so, not a govt. official) First speaker may speak truth (IS
not & denies being a govt. official) or may tell a lie (is a govt. official but denies being one) – in
either case denying being a govt. official. If first resident speaks truth the third one tells a lie and
vice-versa.
A. (3)
B. (4)
C. In a batch of 120 postgraduate History students each student has to select at least one subject out
of American History, Ancient Indian History. Modern Indian History and History of Modern
Europe. 90 students selected History of Modern Europe and an equal number. American History.
105 students selected Ancient Indian History and an equal number. Modern Indian History. AT
least how many students selected all the four subjects.
(1) 75 (2) 45 (3) 30 (4) Insufficient data
Answer:
C. (3) History of Modern Europe (HME) + American History (AH) = 90 + 90 = 180, but there are only
120 students. Thus, at least 60 students selected both of the above subjects. HME and AM +
Ancient Indian History (AIH) = 60 + 105 = 165. Thus, again, as there are only 120 students, at
least 45 would have taken all three of above. Using the same logic, (45 + 105) – 120 = 30 students
at least would select all the four subjects.
The first resident answer the question. The second native then reports that the first resident denied being a government official. The third resident says that the first resident is a government officials.
A. How many of these three residents are not government officials?
(1) 1 (2) 3 (3) 2 (4) Insufficient data
B. What is the order in which the three residents statements are true/false
(1) True, True, False (2) False, False, True
(3) True, True, True (4) Insufficient data
Answer:
The second resident always speaks truth (so, not a govt. official) First speaker may speak truth (IS
not & denies being a govt. official) or may tell a lie (is a govt. official but denies being one) – in
either case denying being a govt. official. If first resident speaks truth the third one tells a lie and
vice-versa.
A. (3)
B. (4)
C. In a batch of 120 postgraduate History students each student has to select at least one subject out
of American History, Ancient Indian History. Modern Indian History and History of Modern
Europe. 90 students selected History of Modern Europe and an equal number. American History.
105 students selected Ancient Indian History and an equal number. Modern Indian History. AT
least how many students selected all the four subjects.
(1) 75 (2) 45 (3) 30 (4) Insufficient data
Answer:
C. (3) History of Modern Europe (HME) + American History (AH) = 90 + 90 = 180, but there are only
120 students. Thus, at least 60 students selected both of the above subjects. HME and AM +
Ancient Indian History (AIH) = 60 + 105 = 165. Thus, again, as there are only 120 students, at
least 45 would have taken all three of above. Using the same logic, (45 + 105) – 120 = 30 students
at least would select all the four subjects.
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