1. He was one of my best ______ and I felt his loss______.
(A) friend, keenly
(B) friends, keen
(C) friend, keener
(D) friends, keenly
(1 mark, 2017[1])

Ans: D
2. As the two speakers became increasingly agitated, the debate became ___.
(A) lukewarm
(B) poetic
(C) forgiving
(D) heated
(1 mark, 2017[1])

Ans: D
3. A right – angled cone (with base radius 5 cm and height 12 cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.
By what angle (in radians) about P does the cone travel?
(A) \frac { 5\pi }{ 12 }
(B) \frac { 5\pi }{ 24 }
(C) \frac { 24\pi }{ 5 }
(D) \frac { 10\pi }{ 13 }
(1 mark, 2017[1])

Ans: D
4. In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000,8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is
(A) Rs. 20,000
(B) Rs.30,000
(C) Rs. 32,300
(D) Rs. 40,000
(1 mark, 2017[1])

Ans: B
5. P,Q, and R talk about S’s car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one Car. Only one of P, Q and R is right the number cars owned by S is.
(A) 0
(B) 1
(C) 3
(D) Cannot be determined
(1 mark, 2017[1])

Ans: A
6. “Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their castemarks and their own choice of facial hair on parade, being again reprimanded by the commanderinchief. His retort that, A stronger instance than this of European prejudice with relation to this country has never come under my observations‟ had no effect on his superiors.”
According to this paragraph, which of the statements below is most accurate?
(A) Stuart‟s commander – in chief was moved by this demonstration of his prejudice.
(B) The Europeans were accommodating of the sepoys” desire to wear their caste – marks.
(C) Stuart’s ‘losing battle’ refers to his inability to succeed in enabling sepoys to wear castemarks.
(D) The commander– in – Chief was exempt from the European preiudice that dictated how the sepoys were to dress.
(2 mark, 2017[1])

Ans: C
7. What is the sum of the missing digits in the subtraction problem below?
(A) 8
(B) 10
(C) 11
(D) Cannot be determined
(2 mark, 2017[1])

Ans: D
8. Let S1 be the plane figure consisting of the points (x,y) given by the inequalities x1\le 2 and y+2\le 3. Let S2 be the plane figure given by the inequalities xy\ge 2,y\ge 1\quad and\quad x\le 3. Let S be the union of S1 and S2. The area of S is
(A) 26
(B) 28
(C) 32
(D) 34
(2 mark, 2017[1])

Ans: C
9. Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E, “There is no way you are good enough to play for your country.‟ James replied, “ Maybe not, but at least I am the best player in my own family.” Which one of the following can be inferred from this conversation?
(A) Mark was known to play better than James
(B) Steve was known to play better than Mark
(C) James and Steve were good friends
(D) James played better than Steve
(2 mark, 2017[1])

Ans: B
10. The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8(in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25ºC and 37°C.
Consider the following statements based on the data shown above:
(i) The growth in bacterial population stops earlier at 37°C as compared to 25°C.
(ii) The time taken for curd formation at 25°C is twice the time taken at 37°C 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[1])

Ans: A
11. 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
12. 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
13. 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
14. 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
15. 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
16. “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
17. 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
18. 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
19. 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
20. 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
21. “ Going by the ____ that many hands make light work, the school _____ involved all the students in the task.”
The words that best fill the blanks in the above sentence are
(A) principle, principal
(B) principal, principle
(C) principle, principle
(D) principal, principal
(1 mark, 2018[1])

Ans: A
22. “ Her _______ should not be confused with miserliness; she is ever willing to assist those in need.”
The word that best fills the blank in the above sentence is
(A) cleanliness
(B) punctuality
(C) frugality
(D) greatness
(1 mark, 2018[1])

Ans: C
23. Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?
(A) 1
(B) 7
(C) 100
(D) 700
(1 mark, 2018[1])

Ans: B
24. A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m^{2} of area. What is the area of the original rectangle in square meters?
(A) 1125
(B) 2250
(C) 2924
(D) 4500
(1 mark, 2018[1])

Ans: B
25. A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?
(A) 63
(B) 72
(C) 81
(D) 90
(1 mark, 2018[1])

Ans: B
26. For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log a + log b + log c = 0?
(A) 3 and 3
(B) 1 and 1
(C) 1 and 3
(D) 1 and 3
(2 mark, 2018[1])

Ans: A
27. Given that a and b are integers and a + a^{2}b^{3} is odd, which one of the following statements is correct?
(A) a and b are both odd
(B) a and b are both even
(C) a is even and b is odd
(D) a is odd and b is even
(2 mark, 2018[1])

Ans: D
28. From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
(A) 210 and 140
(B) 162.5 and 187.5
(C) 245 and 130
(D) 175 and 200
(2 mark, 2018[1])

Ans: D
29. Which of the following functions describe the graph shown in the below figure?
(A) y = x + 1 − 2
(B) y = x − 1 − 1
(C) y = x + 1 − 1
(D) y = x − 1 − 1
(2 mark, 2018[1])

Ans: B
30. Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.
(iii) Some roses fade quickly.
Which of the following statements can be logically inferred from the above statements?
(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.
(2 mark, 2018[1])

Ans: C
31. “ The dress ____ her so well that they all immediately _____ her on her appearance.”
The words that best fill the blanks in the above sentence are
(A) complemented, complemented
(B) complimented, complemented
(C) complimented, complimented
(D) complemented, complimented
(1 mark, 2018[2])

Ans: D
32. “ The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained ____.”
The word that best fills the blank in the above sentence is
(A) undiminished
(B) damaged
(C) illegal
(D) uncertain
(1 mark, 2018[2])

Ans: A
33. Find the missing group of letters in the following series:
BC, FGH, LMNO, _____.
(A) UVWXY
(B) TUVWX
(C) STUVW
(D) RSTUV
(1 mark, 2018[2])

Ans: B
34. The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
(A) The circle has the largest area.
(B) The square has the largest area.
(C) The equilateral triangle has the largest area.
(D) All the three shapes have the same area.
(1 mark, 2018[2])

Ans: A
35. The value of the expression \frac { 1 }{ 1+{ log }_{ u }vw } +\frac { 1 }{ 1+{ log }_{ v }wu } +\frac { 1 }{ 1+{ log }_{ w }uv } is _____.
(A) 1
(B) 0
(C) 1
(D) 3
(1 mark, 2018[2])

Ans: C
36. Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?
(A) 0
(B) 2
(C) 4
(D) 8
(2 mark, 2018[2])

Ans: C
37. A wire would enclose an area of 1936 m^{2}, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?
(A) 1096
(B) 1111
(C) 1243
(D) 2486
(2 mark, 2018[2])

Ans: C
38. A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, fiveseventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
(A) 50
(B) 89
(C) 146
(D) 175
(2 mark, 2018[2])

Ans: NO OPTION
39. A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.
i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.
What is the house number?
(A) 54
(B) 65
(C) 66
(D) 76
(2 mark, 2018[2])

Ans: D
40. A n unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:
(1) HTHTHT (2) TTHHHT
(3) HTTHHT (4) HHHT__ __.
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
(A) Two T will occur.
(B) One H and one T will occur.
(C) Two H will occur.
(D) One H will be followed by one T.
(2 mark, 2018[2])

Ans: B