Aptitude Mechanical Gate Previous Year Questions


Ques 1Aptitude

The minute hand and second hand of a clock cross each other.............times between 09:15:00 AM and 09:45:00 AM on a day

a) 29
b) 30
c) 15
d) 31


b is the correct answer.




Ques 2Aptitude

Consider the following inequalities p2 – 4q < 4; 3p + 2q < 6 where p and q are positive integers. The value of (p + q).

a) 1
b) 2
c) 3
d) 4


b is the correct answer.




Ques 3Aptitude

How many pairs of sets (S,T) are possible among the subsets of {1,2,3,4,5,6} that satisfy the condition that S is the subset of T?

a) 665
b) 664
c) 729
d) 728


a is the correct answer.




Ques 4Aptitude

In a recently held parent teacher meeting, the teacher had very few complaints about Ravi. After all Ravi was a hardworking and kind student. Incidentally, almost all Ravi’s friend at school were hard working and king too. But the teacher drew attention to Ravi’s complete lack of interest in sports. The teacher believed that along with some of his friends who showed similar disinterest in sports. Ravi needed to engage in some sports for his overall development, which statement is logically correct.

a) Some of Ravi’s friends are hardworking and kind.
b) None of the Ravi’s friends are interested in sports.
c) All of Ravi’s friends are hardworking and kind.
d) No one who is not a friend of Ravi is hard working and kind.


c is the correct answer.




Ques 5Aptitude

Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to knock. (ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut. (iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen. (iv) I decided I would rather wander down the passage

a) (iv), (i), (iii), (ii)
b) (iii), (i), (ii), (iv)
c) (ii), (i), (iv), (iii)
d) (i), (iii), (ii), (iv)


c is the correct answer.




Ques 6Aptitude

Planting : Seed :: Raising : ____ (By word meaning)

a) Height
b) Temperature
c) Child
d) Lift


c is the correct answer.




Ques 7Aptitude

He did not manage to fix the car himself, so he ............ in the garage.

a) got it fixed
b) got fixed
c) gets fixed
d) Getting it fixed


a is the correct answer.




Ques 8Aptitude

Writing too many things on the ________ while teaching could make the students get _________.

a) bored / board
b) board / bored
c) board / board
d) bored / bored


b is the correct answer.




Ques 9Aptitude

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

a) The 2nd February of that year is a Tuesday.
b) There will be five Sundays in the month of February in that year.
c) The 1st February of that year is a Sunday.
d) All Mondays of February in that year have even dates.


a is the correct answer.




Ques 10Aptitude

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

a) Having ultra-black skin is only advantageous to species S
b) Species S with lower collagen in their skin are at an advantage because it helps them avoid predators
c) Having ultra-black skin has both advantages and disadvantages to species S
d) Having ultra-black skin is only disadvantageous to species S but advantageous only to their predators


c is the correct answer.




Ques 11Aptitude

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 units per day, what is the value of m?

a) 18
b) 10
c) 7
d) 5


c is the correct answer.




Ques 12Aptitude

After playing _________ hours of tennis, I am feeling _________ tired to walk back.

a) too/too
b) too/two
c) two/two
d) two/too


d is the correct answer.




Ques 13Aptitude

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18kmph.
What percentage of the total distance is travelled at a uniform speedof 10 kmph?

a) 28.25
b) 37.25
c) 43.75
d) 50.00


c is the correct answer.




Ques 14Aptitude

Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese.
Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French.
Based on the above information, which girl is learning the most difficult pair of languages?

a) P
b) Q
c) R
d) S


b is the correct answer.




Ques 15Aptitude

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear “lost”, it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

a) Wallets with a key are more likely to be returned because people do not care about money.
b) Wallets with a key are more likely to be returned because people relate to suffering of others.
c) Wallets used in experiments are more likely to be returned than wallets that are really lost.
d) Money is always more important than keys.


b is the correct answer.




Ques 16Aptitude

A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within the rhombus?

a) 1/√2
b) 1/2√2
c) √2
d) 2√2


a is the correct answer.




Ques 17Aptitude

An equilateral triangle, a square and a circle have equal areas.What is the ratio of the perimeters of the equilateral triangle to square to circle?

a) 3√3 ∶ 2 ∶ √𝜋
b) √(3√3):2:√𝜋
c) √(3√3):4:2√𝜋
d) √(3√3):2:2√𝜋


b is the correct answer.




Ques 18Aptitude

Given below are three conclusions drawn based on the following three
statements
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.

Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?

a) Only conclusion III is correct
b) Only conclusion I and conclusion II are correct
c) Only conclusion II and conclusion III are correct
d) Only conclusion I and conclusion III are correct


a is the correct answer.




Ques 19Aptitude

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?

a) 11
b) 12
c) 144
d) 2


a is the correct answer.




Ques 20Aptitude

Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

a) 2
b) 3
c) 4
d) 5


b is the correct answer.




Ques 21Aptitude

Consider the following sentences:
(i) The number of candidates who appear for the GATE examination is staggering.
(ii) A number of candidates from my class are appearing for the GATE examination.
(iii) The number of candidates who appear for the GATE examination are staggering.
(iv) A number of candidates from my class is appearing for the GATE examination.

Which of the above sentences are grammatically CORRECT?

a) (i) and (ii)
b) (i) and (iii)
c) (ii) and (iii)
d) (ii) and (iv)


a is the correct answer.




Ques 22Aptitude

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is

a) 10.08 AM
b) 10.42 AM
c) 11.00 AM
d) 10.00 PM


a is the correct answer.




Ques 23Aptitude

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is

a) 10.08 AM
b) 10.42 AM
c) 11.00 AM
d) 10.00 PM


a is the correct answer.




Ques 24Aptitude

The front door of Mr. X’s house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is

a) South-East
b) North-East
c) West
d) North-West


d is the correct answer.




Ques 25Aptitude

Given below are two statements 1 and 2, and two conclusions I and IT.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.

Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?

a) Only conclusion I is correct
b) Only conclusion II is correct
c) Neither conclusion I nor II is correct
d) Both conclusions I and II are correct


c is the correct answer.




Ques 26Aptitude

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is

a)

3 / 16

b)
45 / 236

c)
1 / 4

d)
3 / 4


b is the correct answer.




Ques 27Aptitude

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

a)

1 / 4

b)
1 / 8

c)
1 / 16

d)
1 / 32


b is the correct answer.




Ques 28Aptitude

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is

a)

1 / 4

b)
1 / 8

c)
1 / 16

d)
1 / 32


a is the correct answer.




Ques 29Aptitude

If the Laplace transform of a function f(t) is given by

s+3 / (s+1)(s+2)
then f(0) is

a) 0
b)

1 / 2

c)
3 / 2

d) 1


d is the correct answer.




Ques 30Aptitude

Consider the following sentences :
i ) After his surgery , Raja hardly could walk .
ii ) After his surgery , Raja could barely walk .
iii ) After his surgery , Raja barely could walk .
iv ) After his surgery , Raja could hardly walk .
Which of the above sentences are grammatically CORRECT ?

a) (i) and (ii)
b) (i) and (iii)
c) (iii) and (iv)
d) (ii) and (iv)


d is the correct answer.




Ques 31Aptitude

MS. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. Which direction is the building facing __________

a) North
b) East
c) West
d) South


d is the correct answer.




Ques 32Aptitude

“The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle”. Which of the following can be logically inferred from the information presented in the above statement?

a) The people in the state did not consume leafy vegetables earlier.
b) Consumption of leafy vegetables may not be the only indicator of healthy lifestyle.
c) Leading a healthy lifestyle is related to a diet with leafy vegetables.
d) The people in the state have increased awareness of health hazards causing by consumption of junk foods.


c is the correct answer.




Ques 33Aptitude

Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.
The number of distinct seating arrangements possible is:

a) 10
b) 8
c) 4
d) 16


d is the correct answer.




Ques 34Aptitude

Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos.
In the symbiotic relationship described above, the primary benefits for oxpeckers and rhinos respectively are.

a) Oxpeckers get a food source, rhinos may be saved from the poachers.
b) Oxpeckers get a food source, rhinos have no benefit.
c) Oxpeckers save their habitat from poachers while the rhinos have no benefit.
d) Oxpeckers save the lives of poachers, rhinos save their own lives.


a is the correct answer.




Ques 35Aptitude

The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens:ducks:goats in farm P is ________

a) 5:14:13
b) 10:21:26
c) 5:7:13
d) 21:10:26


b is the correct answer.




Ques 36Aptitude

While I agree ________ his proposal this time, I do not often agree ______ him.

a) with, to
b) to, with
c) with, with
d) to, to


b is the correct answer.




Ques 37Aptitude

The recent measures to improve the output would ______ the level of production to our satisfaction.

a) increase
b) tequalise
c) decrease
d) speed


a is the correct answer.




Ques 38Aptitude

It was estimated that 52 men can complete a strip in a newly constructed highway Q.2 connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?

a) 3 days
b) 5 days
c) 10 days
d) 13 days


a is the correct answer.




Ques 39Aptitude

Select the word that fits the analogy:
White : Whitening : : Light : ________.

a) Lightening
b) Lightning
c) Enlightening
d) Lighting


a is the correct answer.




Ques 40Aptitude

In one of the greatest innings ever seen in 142 years of Test history. Ben Stokes upped Q.7 the tempo in a five-and-a-half hour long stay of 219 balls including 11 fours and 8 sixes that saw him finish on a 135 not out as England squared the five-match series. Based on their connotations in the given passage, which one of the following meanings DOES NOT match?

a) squared = lost
b) tempo = enthusiasm
c) upped = increased
d) saw = resulted in


a is the correct answer.




Ques 41Aptitude

Climate change and resilience deal with two aspects - reduction of sources of nonrenewable Q.9 energy resources and reducing vulnerability of climate change aspects. The terms 'mitigation' and 'adaptation' are used to refer to these aspects, respectively.
Which of the following assertions is best supported by the above information?

a) Adaptation deals with causes of climate change.
b) Mitigation deals with consequences of climate change.
c) Adaptation deals with actions taken to combat green-house gas emissions
d) Mitigation deals with actions taken to reduce the use of fossil fuels.


d is the correct answer.




Ques 42Aptitude

It was estimated that 52 men can complete a strip in a newly constructed highway Q.2 connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?

a) 13 days
b) 5 days
c) 10 days
d) 3 days


d is the correct answer.




Ques 43Aptitude

He is known for his unscrupulous ways. He always sheds _________ tears to deceive people.

a) crocodile
b) fox's
c) crocodile's
d) fox


a is the correct answer.




Ques 44Aptitude

Jofra Archer, the England fast bowler, is ___________then accurate.

a) more fast
b) more faster
c) less fast
d) faster


a is the correct answer.




Ques 45Aptitude

4. Select the word that fits the analogy:
Build: Building::Grow: __________.

a) Grown
b) Growth
c) Grew
d) Growed


b is the correct answer.




Ques 46Aptitude

I do not think you know the case well enough to have opinions. Having said that, I agree with your other point.
What does the phrase “having said that” mean in the given text?

a) as opposed to what I have said
b) in addition to what I have said
c) contrary to what I have said
d) despite what I have said


d is the correct answer.




Ques 47Aptitude

Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through web-based platform in the project.
Based on the above paragraph, which of the following is correct about crowd funding?

a) Funds raised through coerced contributions on web-based platforms.
b) Funds raised through unwilling contributions on web-based platforms.
c) Funds raised through voluntary contributions on web-based platforms.
d) Funds raised through large contributions on web-based platforms.


c is the correct answer.




Ques 48Aptitude

P, Q, R and S are to be uniquely coded using α and β. If P is coded as α α and Q as αβ, then R and S, respectively, can be coded as__________.

a) αβ and ββ
b) ββ and αα
c) βα and ββ
d) βα and αβ


c is the correct answer.




Ques 49Aptitude

The sum of the first n terms in the sequence 8, 88, 888, 8888, … is ________.

a)

80 / 81
(10n-1) -
8 / 9
n
b)
81 / 80
(10n-1) -
9 / 8
n
c)
81 / 80
(10n-1) +
9 / 8
n
d)
80 / 81
(10n-1) +
8 / 9
n


a is the correct answer.




Ques 50Aptitude

Once the team of analysts identify the problem, we _________ in a better position to comment on the issue.
Which one of the following choices CANNOT fill the given blank?

a) will be
b) were to be
c) are going to be
d) might be


b is the correct answer.




Ques 51Aptitude

A final examination is the _________ of a series of evaluations that a student has to go through.

a) culmination
b) consultation
c) desperation
d) insinuation


a is the correct answer.




Ques 52Aptitude

If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC = ____.

a) JDE
b) JED
c) JDC
d) JCD


b is the correct answer.




Ques 53Aptitude

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?

a) 5
b) 7
c) 8
d) 9.5


b is the correct answer.




Ques 54Aptitude

Are there enough seats here? There are ________ people here than I expected.

a) many
b) most
c) least
d) more


d is the correct answer.




Ques 55Aptitude

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is ___.

a) 37.50
b) 35.70
c) 10.00
d) 25.00


a is the correct answer.




Ques 56Aptitude

While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This was, till an eminent Caribbean writer gave the writers in the once-colonised countries the confidence to see the shabby lives around them as worthy of being “told”.
The writer of this passage is surprised by the creative writing assignments of his students, because _____________.

a) Some of the students had written stories set in foreign places
b) None of the students had written stories set in India
c) None of the students had written about ice cubes and cowboys
d) Some of the students had written about ice cubes and cowboys


b is the correct answer.




Ques 57Aptitude

X is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, X is almost forcing its customers towards its loyalty membership. If its loyalty membership continues to grow at its current rate, within the next eight years more households will be watching X than cable television.

Which one of the following statements can be inferred from the above paragraph?

a) Most households that subscribe to X’s loyalty membership discontinue watching cable television
b) Non-members prefer to watch cable television
c) Cable television operators don’t subscribe to X’s loyalty membership
d) The X is cancelling accounts of non-member


a is the correct answer.




Ques 58Aptitude

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed and Q is opened. After 6 more hours R is closed. The total time taken to fill the tank (in hours) is ____.

a) 13.50
b) 14.50
c) 15.50
d) 16.50


b is the correct answer.




Ques 59Aptitude

John Thomas, an ________writer, passed away in 2018.

a) prominent
b) dominant
c) imminent
d) eminent


d is the correct answer.




Ques 60Aptitude

________I permitted him to leave, I wouldn’t have had any problem with him being absent, ________I ?

a) Had, wouldn’t
b) Have, would
c) Have, wouldn’t
d) Had, would


d is the correct answer.




Ques 61Aptitude

A worker noticed that the hour hand on the factory clock had moved 225 degrees during her stay at the factory. For how long does she stay in the factory?

a) 8.5 hours
b) 7.5 hours
c) 3.75 hours
d) 4 hours and 15 minutes


b is the correct answer.




Ques 62Aptitude

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is _______.

a) 2
b) 6
c) 3
d) 4


d is the correct answer.




Ques 63Aptitude

The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of _________ the issue.

a) tying
b) collaring
c) skirting
d) belting


c is the correct answer.




Ques 64Aptitude

M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE?

a) W is the wife of R
b) R is the father of Y
c) M is the grandmother of Y
d) W is the wife of P


d is the correct answer.




Ques 65Aptitude

Congo was named by Europeans. Congo’s dictator Mobuto later changed the name of the country and the river to Zaire with the objective of Africanising names of persons and spaces. However, the name Zaire was a Portuguese alternation of Nzadi o Nzere, a local African term meaning ‘River that swallows Rivers’. Zaire was the Portuguese name for the Congo river in the 16th and 17th centuries.
Which one of the following statements can be inferred from the paragraph above?

a) The term Nzadi o Nzere was of Portuguese origin
b) As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire
c) Mobuto’s desire to Africanise names was prevented by the Portuguese
d) Mobuto was not entirely successful in Africanising the name of his country


d is the correct answer.




Ques 66Aptitude

Under a certain legal system, prisoners are allowed to make one statement. If their statement turns out to be true then they are hanged. If the statement turns out to be false then they are shot. One prisoner made a statement and the judge had no option but to set him free. Which one of the following could be that statement?

a) I committed the crime
b) You committed the crime
c) I will be shot
d) I did not commit the crime


c is the correct answer.




Ques 67Aptitude

Under a certain legal system, prisoners are allowed to make one statement. If their statement turns out to be true then they are hanged. If the statement turns out to be false then they are shot. One prisoner made a statement and the judge had no option but to set him free. Which one of the following could be that statement?

a) 9 : 16
b) 37 : 63
c) 47 : 53
d) 11 : 14


c is the correct answer.




Ques 68Aptitude

“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


d is the correct answer.




Ques 69Aptitude

“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


a is the correct answer.




Ques 70Aptitude

Find the missing group of letters in the following series:
BC, FGH, LMNO, _____

a) UVWXY
b) TUVWX
c) STUVW
d) RSTUV


b is the correct answer.




Ques 71Aptitude

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.


a is the correct answer.




Ques 72Aptitude

The value of the expression

1/ 1+loguvw
+
1/ 1+logvwu
+
1/ 1+logwuv
is _____________.

a) -1
b) 0
c) 1
d) 2


c is the correct answer.




Ques 73Aptitude

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


c is the correct answer.




Ques 74Aptitude

A wire would enclose an area of 1936 m2 , 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


c is the correct answer.




Ques 75Aptitude

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, five-seventh 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) 7


d is the correct answer.




Ques 76Aptitude

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


d is the correct answer.




Ques 77Aptitude

An 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


b is the correct answer.




Ques 78Aptitude

“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


a is the correct answer.




Ques 79Aptitude

“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


c is the correct answer.




Ques 80Aptitude

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


b is the correct answer.




Ques 81Aptitude

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 m2 of area. What is the area of the original rectangle in square meters?

a) 1125
b) 2250
c) 2924
d) 4500


b is the correct answer.




Ques 82Aptitude

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


b is the correct answer.




Ques 83Aptitude

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


a is the correct answer.




Ques 84Aptitude

Given that 𝑎 and 𝑏 are integers and 𝑎 + 𝑎2 𝑏3 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


d is the correct answer.




Ques 85Aptitude

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


d is the correct answer.




Ques 86Aptitude

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


c is the correct answer.




Ques 87Aptitude

Choose the most appropriate word from the options given below to complete the following sentence.
Communication and interpersonal skills are important in their own ways.

a) each
b) both
c) all
d) either


b is the correct answer.




Ques 88Aptitude

Which of the options given below best completes the following sentence?
She will feel much better if she ________________.

a) will get some rest
b) gets some rest
c) will be getting some rest
d) is getting some rest


b is the correct answer.




Ques 89Aptitude

Choose the most appropriate pair of words from the options given below to complete the following sentence.
She could not _____ the thought of _________ the election to her bitter rival.

a) bear, loosing
b) bare, loosing
c) bear, losing
d) bare, losing


c is the correct answer.




Ques 90Aptitude

A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence:
1 → 0.167; 2 → 0.167; 3 → 0.152; 4 →0.166; 5 → 0.168; 6 → 0.180.
We call this die

a) irregular
b) biased
c) Gaussian
d) insufficient


b is the correct answer.




Ques 91Aptitude

Fill in the missing number in the series.
2   3   6   15 ________   157.5   630


45 is the correct answer.




Ques 92Aptitude

Find the odd one in the following group
Q,W,Z,B     B,H,K,M     W,C,G,J     M,S,V,X

a) Q,W,Z,B
b) B,H,K,M
c) W,C,G,J
d) M,S,V,X


c is the correct answer.




Ques 93Aptitude

Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow.
Which of the following statements is not necessarily correct?

a) The number of red lights is equal to the number of blue lights.
b) The number of green lights is equal to the number of yellow lights.
c) The sum of the red and green lights is equal to the sum of the yellow and blue lights.
d) The sum of the red and blue lights is equal to the sum of the green and yellow lights.


d is the correct answer.




Ques 94Aptitude

It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?

a) 4 times the draining rate
b) 3 times the draining rate
c) 2.5 times the draining rate
d) 2 times the draining rate


a is the correct answer.




Ques 95Aptitude

Choose the most appropriate phrase from the options given below to complete the following sentence.
The aircraft take off as soon as its flight plan was filed.

a) Is allowed to
b) will be allowed to
c) was allowed to
d) has been allowed to


c is the correct answer.




Ques 96Aptitude

Read the statements:

All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements?

a) All women are doctors
b) All doctors are entrepreneurs
c) All entrepreneurs are women
d) Some entrepreneurs are doctors


d is the correct answer.




Ques 97Aptitude

Choose the most appropriate word from the options given below to complete the following sentence.
Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions.

a) impel
b) dispel
c) propel
d) repel


b is the correct answer.




Ques 98Aptitude

What is the next number in the series?
12 35 81 173 357 ____


725 is the correct answer.




Ques 99Aptitude

Find the odd one from the following group:
W,E,K,O       I,Q,W,A       F,N,T,X       N,V,B,D

a) W,E,K,O
b) I,Q,W,A
c) F,N,T,X
d) N,V,B,D


d is the correct answer.




Ques 100Aptitude

For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is

a) a resident male with annual income Rs 9 lakh
b) a resident female with annual income Rs 9 lakh
c) a non-resident male with annual income Rs 16 lakh
d) a non-resident female with annual income Rs 16 lakh


b is the correct answer.




Ques 101Aptitude

A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in metres?


560 is the correct answer.