1. Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ______.
(A) the highest peak in the world
(B) highest peak in the world
(C) one of highest peak in the world
(D) one of the highest peak in the world
(1 mark, 2016[1])

Ans: A
2. The policeman asked the victim of a theft, “What did you ?”
(A) loose
(B) lose
(C) loss
(D) louse
(1 mark, 2016[1])

Ans: B
3. Despite the new medicine’s ____ in treating diabetes, it is not ____widely.
(A) effectiveness — prescribed
(B) availability — used
(C) prescription — available
(D) acceptance — proscribed
(1 mark, 2016[1])

Ans: A
4. In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?
(A) 2029198
(B) 2467482
(C) 2789080
(D) 3577422
(1 mark, 2016[1])

Ans: A
5. Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?
(A) 3.00
(B) 4.99
(C) 6.02
(D) 7.01
(1 mark, 2016[1])

Ans: C
6. A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?
(A) 15
(B) 33
(C) 35
(D) 37
(2 mark, 2016[1])

Ans: C
7. In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong.
Which of the following inference(s) is/are logically valid and can be inferred from the above passage?
(i) His friends were always asking him to help them.
(ii) He felt that when in need of help, his friends would let him down.
(iii)He was sure that his friends would help him when in need.
(iv) His friends did not help him last week.
(A) (i) and (ii)
(B) (iii) and (iv)
(C) (iii) only
(D) (iv) only
(2 mark, 2016[1])

Ans: B
8. Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be TRUE based on the above?
(A) When Shiva plays chess with Leela and Pavithra, he often loses.
(B) Leela is the oldest of the three.
(C) Shiva is a better chess player than Pavithra.
(D) Pavithra is the youngest of the three.
(2 mark, 2016[1])

Ans: D
9. If { q }^{ a }=\frac { 1 }{ r } and { r }^{ b }=\frac { 1 }{ s } and { S }^{ c }=\frac { 1 }{ q } , the value of abc is
(A) { (rqs) }^{ 1 }
(B) 0
(C) 1
(D) r+q+s
(2 mark, 2016[1])

Ans: C
10. P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?
(A) 10:11
(B) 11:10
(C) 20:21
(D) 21:20
(2 mark, 2016[1])

Ans: C
11. The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit.
(A) least
(B) less
(C) lesser
(D) low
(1 mark, 2016[2])

Ans: B
12. The unruly crowd demanded that the accused be ______ without trial.
(A) hanged
(B) hanging
(C) hankering
(D) hung
(1 mark, 2016[2])

Ans: A
13. Choose the statement(s) where the bolded word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a lot of fat are prone to heart disease.
(A) (i) and (iii) only
(B) (iii) only
(C) (i) and (ii) only
(D) (ii) and (iii) only
(1 mark, 2016[2])

Ans: D
14. Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A) If (iii), then (iv).
(B) If (i), then (iii).
(C) If (i), then (ii).
(D) If (ii), then (iv).
(1 mark, 2016[2])

Ans: C
15. A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in { m }^{ 2 } is _____.
(A) 1.43
(B) 2.06
(C) 2.68
(D) 2.88
(1 mark, 2016[2])

Ans: B
16. Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
(A) No student in group Q scored less marks than any student in group P.
(B) No student in group P scored less marks than any student in group Q.
(C) Most students of group Q scored marks in a narrower range than students in group P.
(D) The median of the marks of group P is 100.
(2 mark, 2016[2])

Ans: C
17. A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.
(A) (i) and (iv) only
(B) (ii) and (iii) only
(C) (iv) only
(D) (i) only
(2 mark, 2016[2])

Ans: C
18. Find the missing sequence in the letter series.
B, FH, LNP, ____.
(A) SUWY
(B) TUVW
(C) TVXZ
(D) TWXZ
(2 mark, 2016[2])

Ans: C
19. The binary operation □ is defined as a □ b = ab+(a+b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is .
(A) 0
(B) 1
(C) 2
(D) 10
(2 mark, 2016[2])

Ans: A
20. Which of the following curves represents the function y=ln({ e }^{ [sin(x)] }) for x < 2π? Here, x represents the abscissa and y represents the ordinate.
(2 mark, 2016[2])

Ans: C
21. Based on the given statements, select the appropriate option with respect to grammar and usage.
Statements
(i) The height of Mr. X is 6 feet.
(ii) The height of Mr. Y is 5 feet.
(A) Mr. X is longer than Mr. Y.
(B) Mr. X is more elongated than Mr. Y.
(C) Mr. X is taller than Mr. Y.
(D) Mr. X is lengthier than Mr. Y.
(1 mark, 2016[3])

Ans: C
22. The students _____ the teacher on teachers’ day for twenty years of dedicated teaching.
(A) facilitated
(B) felicitated
(C) fantasized
(D) facillitated
(1 mark, 2016[3])

Ans: B
23. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the rest is history.
What does the underlined phrase mean in this context?
(A) history will rest in peace
(B) rest is recorded in history books
(C) rest is well known
(D) rest is archaic
(1 mark, 2016[3])

Ans: C
24. Given { (9inches) }^{ ½ } = { (0.25yards) }^{ ½ }, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards
(B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards
(D) 81 inches = 0.0625 yards
(1 mark, 2016[3])

Ans: C
25. S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?
(A) 1:1
(B) 1:2
(C) 1:4
(D) 2:1
(1 mark, 2016[3])

Ans: B
26. The Venn diagram shows the preference of the student population for leisure activities.
From the data given, the number of students who like to read books or play sports is ______.
(A) 44
(B) 51
(C) 79
(D) 108
(2 mark, 2016[3])

Ans: D
27. Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economics rise of postcolonial countries like India, conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a precolonial origin.
(iii) Social science disciplines always promote colonialism.
(iv) Social science must maintain disciplinary boundaries.
(A) (ii) only
(B) (i) and (iii) only
(C) (ii) and (iv) only
(D) (iii) and (iv) only
(2 mark, 2016[3])

Ans: A
28. Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without number makings seemed to show 1:30. What is the actual current time shown by the clock?
(A) 8:15
(B) 11:15
(C) 12:15
(D) 12:45
(2 mark, 2016[3])

Ans: D
29. M and N start from the same location. M travels 10 km East and then 10 km NorthEast. N travels % km South and then 4 km SouthEast. What is the shortest distance (in km) between M and N at the end of their travel?
(A) 18.60
(B) 22.50
(C) 20.61
(D) 25.00
(2 mark, 2016[3])

Ans: C
30. A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
(A) 30
(B) 40
(C) 120
(D) 180
(2 mark, 2016[3])

Ans: B