1. If you choose plan P, you will have to ____ plan Q, as these two are mutually ____.
(A) forgo, exclusive
(B) forget, inclusive
(C) accept, exhaustive
(D) adopt, intrusive
(1 mark, 2017[2])

Ans: A
2. P looks at Q while Q looks at R. P is married, R is not. The number of people in which a married person is looking at an unmarried person is
(A) 0
(B) 1
(C) 2
(D) Cannot be determine
(1 mark, 2017[2])

Ans: B
3. If a and b are integers and ab is even, which of the following must always be even?
(A) ab
(B) { a }^{ 2 }+{ b }^{ 2 }+1
(C) { a }^{ 2 }+{ b }+1
(D) abb
(1 mark, 2017[2])

Ans: D
4. A couple has 2 children. The probability that both children are boys if the older one is a boy is
(A) 1/4
(B) 1/3
(C) 1/2
(D) 1
(1 mark, 2017[2])

Ans: C
5. The ways in which this game cab be played ___ potentially infinite.
(A) is
(B) is being
(C) are
(D) are being
(1 mark, 2017[2])

Ans: C
6. “If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”
Which of the following closes in meaning to ‘cleaving’?
(A) Deteriorating
(B) Arguing
(C) Departing
(D) Splitting
(2 mark, 2017[2])

Ans: D
7. There are 4 women P, Q, R, S and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?
(A) 74
(B) 76
(C) 78
(D) 80
(2 mark, 2017[2])

Ans: C
8. In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature 10°C and a month in summer (average temperature 30°C).
Consider the following statements based on the data shown above:
(i) Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer.
(ii) There are at last four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month.
Which one of the following options is correct?
(A) Only i
(B) Only ii
(C) Both i and ii
(D) Neither i nor ii
(2 mark, 2017[2])

Ans: B
9. All people in a certain island are either ‘Knights’ or ‘Knaves’ and each person knows every other person’s identity. Knights NEVER lie, and Knaves ALWAYS lie. P says “Both of us are knights”. Q says “None of us are Knaves”.
Which one of the following can be logically inferred from the above?
(A) Both P and Q are knights
(B) P is a knight; Q is a knave
(C) Both P and Q are knaves
(D) The identities of P, Q cannot be determined
(2 mark, 2017[2])

Ans: D
10. X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5 days to plough the same field. How many days will it take X bullocks alone to plough the field?
(A) 30
(B) 35
(C) 40
(D) 45
(2 mark, 2017[2])

Ans: A
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