Aptitude Gate Previous Year Questions

We reached the station late, and _______ missed the train.

a) Mostly
b) Near
c) Utterly
d) Nearly

Kind : ______ :: often : frequently

a) Type
b) Cruel
c) Mean
d) Kindly

90% of the pregnant women take medical care atleast once before child birth. Out of them, 60% took medical care from doctors while the remaining took medical care from health providers.
What can be logically inferred from this?

a) More than half of the pregnant women took medical care atleast once before child birth.
b) More than half of the pregnant women took medical care atmost once before child birth.
c) Exactly half of the pregnant women took medical care atleast once before child birth.
d) Atleast half of the pregnant women took medical care atmost once before child birth.

f(x) and g(y) are function of x and y, respectively and f(x) = g(y) for all real values of x and y. Which one of the following options is necessary true?

a) f(x)=0 and g(y)=0
b) f(x) = g(y) = constant
c) f(x) + g(y) = f(x) - g(y)
d) f(x)≠constant and g(y)≠constant

A series of natural numbers 𝐹₁, 𝐹₂, 𝐹₃, 𝐹₄, 𝐹₅, 𝐹₆, 𝐹₇, … obeys 𝐹_𝑛+1 = 𝐹_𝑛 + 𝐹_𝑛−1 for all integers 𝑛 ≥ 2 .
If 𝐹₆ = 37, and 𝐹₇ = 60, then what is 𝐹₁ ?

a) 4
b) 5
c) 8
d) 9

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty?

a) More than half of the pregnant women received medical care at least once from a doctor.
b) Less than half of the pregnant women received medical care at least once from a doctor.
c) More than half of the pregnant women received medical care at most once from a doctor.
d) Less than half of the pregnant women received medical care at most once from a doctor.

Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?

a) The surface of the object must be concave everywhere.
b) The surface of the object must be convex everywhere.
c) The surface of the object may be concave in some places and convex in other places.
d) The object can have edges, but no corners.

The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the problem, the Government of Zombieland has decided to provide monetary incentives to those who ride bicycles to work. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

a) All the working population of Zombieland will henceforth ride bicycles to work.
b) Riding bicycles will ensure that all of the working population of Zombieland is free of health issues.
c) The health experts suggested to the Government of Zombieland to declare riding bicycles as mandatory.
d) The Government of Zombieland believes that riding bicycles is a form of physical exercise.

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

a)
b)
c)
d)

The ______is too high for it to be considered ______.

a) faer / fair
b) fair / fare
c) fare / fare
d) fare / fair

A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.

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

Let r be a root of the equation x² + 2x + 6 = 0. Then the value of the expression (r+2) (r+3)(r+4)(r+5) is

a) -51
b) 51
c) -126
d) 126

Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

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

Some people believe that “what gets measured, improves”. Some others believe that “what gets measured, gets gamed”. One possible reason for the difference in beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with the poor work cultures.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

a) Metrics are useful in organizations with poor work culture
b) Metrics are useful in organizations with good work culture
c) Metrics are always counterproductive in organizations with good work culture
d) Metrics are never useful in organizations with good work culture

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

a) Equal number of boys and girls qualified
b) Equal number of boys and girls appeared for the test
c) The number of boys who appeared for the test is less than the number of girls who appeared
d) The number of boys who qualified for the test is less than the number of girls who qualified

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw?

a) ¹⁄₂
b) ⁸⁄₂₅
c) ¹⁹⁄₅₀
d) ²³⁄₅₀

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T, and U, but not necessarily in the same order. Consider the following statements:

i)The line joining P and R is parallel to the line joining Q and S.
ii)P is placed on the side opposite to corner T.
iii)S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?

a) P cannot be placed at a corner
b) S cannot be placed at a corner
c) U cannot be placed at a mid-point
d) R cannot be placed at a corner

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm × 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is _________.

a) ^π/₂
b) ³/_π
c) ⁹/_π
d) 3π

___________ is to surgery as writer is to ___________ Which one of the following options maintains a similar logical relation in the above sentence ?

a) Plan, outline
b) Hospital, library
c) Doctor, book
d) Medicine, grammar

Consider the following sentences:

(i) Everybody in the class is prepared for the exam.
(ii) Babu invited Danish to his home because he enjoys playing chess.

Which of the following is the CORRECT observation about the above two sentences?

a) (i) is grammatically correct and (ii) is unambiguous.
b) (i) is grammatically incorrect and (ii) is unambiguous.
c) (i) is grammatically correct and (ii) is ambiguous.
d) (i) is grammatically incorrect and (ii) is ambiguous.

The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is

a) 21
b) 27
c) 50
d) 73

Two straight lines are drawn perpendicular to each other in X−Y plane. If α and β are the acute angles the straight lines make with the X- axis, then α+β is ________ .

a) 60
b) 90
c) 120
d) 180

If P=3, R=27, T=243, then Q+S = ________ .

a) 40
b) 80
c) 90
d) 110

The dawn of the 21st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions, at least 30% of the northern hemisphere’s surface permafrost could melt by the end of the century. Given this situation of imminent global exodus of billions of people displaced by rising seas, nation-states need to rethink their carbon footprint for political concerns, if not for environmental ones.

Which one of the following statements can be inferred from the given passage ?

a) Nation-states do not have environmental concerns.
b) Nation-states are responsible for providing fresh water to billions of people.
c) Billions of people are responsible for man-made emissions.
d) Billions of people are affected by melting glaciers.

Select the word that fits the analogy:
Cook : Cook :: Fly : _______

a) Flyer
b) Flying
c) Flew
d) Flighter

His knowledge of the subject was excellent but his classroom performance was _______ .

a) extremely poor
b) good
c) desirable
d) praiseworthy

Raman is confident of speaking English _______ six months as he has been practising regularly _______ the last three weeks.

a) during, for
b) for, since
c) for, in
d) within, for

In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is _____________.

a) 1000
b) 975
c) 900
d) 225

“A recent High Court judgement has sought to dispel the idea of begging as a disease – which leads to its stigmatization and criminalization – and to regard it as a symptom. The underlying disease is the failure of the state to protect citizens who fall through the social security net.” Which one of the following statements can be inferred from the given passage?

a) Beggars are created because of the lack of social welfare schemes
b) Begging is an offence that has to be dealt with firmly
c) Begging has to be banned because it adversely affects the welfare of the state
d) Beggars are lazy people who beg because they are unwilling to work

Ten friends planned to share equally the cost of buying a gifts for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. 150 more. The cost of the gift was Rs. _________ .

a) 666
b) 3000
c) 6000
d) 12000

Two cars at the same time from the same location and go in the same direction. The speed of the first car is 50 km/h and the speed of the second car is 60 km/h. The number of hours it takes for the distance between the two cars to be 20 km is _________.

a) 1
b) 2
c) 3
d) 6

The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements:

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

A court is to a judge as _________ is to a teacher

a) a student
b) a punishment
c) a syllabus
d) a school

The search engine’s business model ________ around the fulcrum of trust.

a) revolves
b) plays
c) sinks
d) bursts

The expenditure on the project __________ as follows: equipment Rs.20 lakhs, salaries Rs.12 lakhs, and contingency Rs.3 lakhs.

a) break down
b) break
c) breaks down
d) breaks

In appreciative of social improvement completed in a town, a wealthy philanthropist decided to give gift of Rs. 750 to each male senior citizen and Rs. 1000 for female senior citizens. There are total 300 senior citizens and th 8/9th of total men and 2/3rd of total women claimed the gift. What is amount of money philanthropist paid?

a) 15000
b) 200000
c) 115000
d) 151000

If pqr ≠ 0 and p^-x = ¹/_q, q^-y = ¹/_r , r^-z = ¹/_p, what is the value of the product xyz ?

a) -1
b) ¹/ _pqr
c) 1
d) pqr

A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

a) Three green faces and four red faces.
b) Four green faces and three red faces.
c) Five green faces and two red faces.
d) Six green faces and one red face.

In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

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

The area of a square is ‘d’. What is the area of the circle which has the diagonal of the square as its diameter?

a) πd
b) πd²
c) (1/4) πd²
d) (1/2) πd

A __________ investigation can sometimes yield new facts, but typically organized once are more successful.

a) Meandering
b) Timely
c) Consistent
d) Systematic

"From where are they bringing their books? _________ bringing _________ books from _________." The words that best fill the blanks in the above sentence are

a) Their, theyre, there
b) Theyre, their, there
c) There, their, theyre
d) Theyre, there,there

What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder ‘7’ in each case is_

a) 3047
b) 6047
c) 7987
d) 63847

What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, ___,0

a) 2880
b) 1440
c) 720
d) 0

In a file allocation system, which of the following allocation scheme(s) can be used if no external fragmentation is allowed?

I. Contiguous
II. Linked
III. Indexed

a) I and III only
b) II only
c) III only
d) II and III only

Let p, q, r denote the statement "It is raining", "It is cold", and "It is pleasant", respectively. Then the statement "It is not raining and it is pleasant, and it is not pleasant only if it is raining and it is cold" is represented by:

a) (¬ p ∧ r) ∧ ((¬ r → (p ∧ q))
b) (¬ p ∧ r) ∧ ((p ∧ q) → ¬ r)
c) (¬ p ∧ r) ∨ ((p ∧ q) → ¬ r)
d) (¬ p ∧ r) ∨ ((r → (p ∧ q))

"We lived in culture and denied any merit to literally works, Considering them important only when they were handmaidens to something seemingly more urgent - namely ideology. This was a country where all gestures even the most private , interpreted as political terms." The author^^s believes that ideology is not as important as literature is revealed by the word

a) culture
b) seemingly
c) urgent
d) political

X is 30 digit number starting with 4 followed 7. Then number X³ will have

a) 90 digits
b) 91 digits
c) 92 digits
d) 93 digits

There are three boxes, one contains apples, another contains oranges and last one contains both apples and oranges. All three are known to be incorrectly labelled. You are permitted to open just one box and then pull out and inspect only one fruit. Which box would you open to determine the contents of all three boxes?

a) The box labelled apples
b) The box labelled both apples and oranges
c) The box labelled oranges
d) can't be determined

The numbers of the roots of e^x + 0.5x² -2 = 0 in the range [-5, 5] are

a) 1
b) 0
c) 2
d) 3

Choose the option with words that are not synonyms.

a) aversion, dislike
b) luminous, radiant
c) plunder, loot
d) yielding, resistant

There are 3 red socks, 5 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same color is

a) ¹/₅

b) ⁷/₃₀

c) ¹/₄

d) ¹⁶/₅₅

Saturn is __________ to be seen on a clear night with the naked eye?

a) enough bright
b) bright enough
c) as enough bright
d) bright as enough

There are 5 buildings called V, W, X, Y, Z in a row (not necessarily in order). V is to the West of W, Z is to the East of X and the West of V. W is to West of Y. Which building is in the middle?

a) V
b) W
c) X
d) Y

A test has questions worth 100 marks totals. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

a) 12
b) 15
c) 18
d) 19

Research in the workplace reveals that people work for many reasons _________.

a) money beside
b) beside money
c) money besides
d) besides money

Find the smallest number y such that y*162 is a perfect cube.

a) 24
b) 27
c) 32
d) 36

Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?

a) 21
b) 18
c) 16
d) 14

The expression [ (x + y) - |x - y| ] / 2 is equal to___

a) 1
b) the minimum of x and y
c) the maximum of x and y
d) none of the above

a) Nationalists are highly imaginative.
b) Nationalists are highly imaginative.
c) Our colonial past never happened.
d) Our colonial past never happened.

Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is

a) 2
b) 3
c) 4
d) Can not be determined

After Rajendra Chola returned from his voyage to Indonesia, he ______ to visit the temple in Tanjavur.

a) was wishing
b) is wishing
c) wished
d) had wished

The probability that a k-digit number does NOT contain the digits 0, 5 or 9 is__

a) 0.3^k
b) 0.6^k
c) 0.7^k
d) 0.9^k

Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other ?

a) Rahul and Murali
b) Srinivas and Arul
c) Srinivas and Murali
d) Srinivas and Rahul

All hill-stations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?

(i) Ooty is not a hill-station.
(ii) No hill-station can have more than one lake.

a) (i) only
b) (ii) only
c) both (i) and (ii)
d) neither (i) nor (ii)

Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous. Many believe that the internet itself is an unintended consequence of the original invention. With the advent of mobile computing on our phones, a whole new dimension is now enabled. One is left wondering if all these developments are good or, more importantly, required. Which of the statement(s) below is/are logically valid and can be inferred from the above paragraph?

(i) The author believes that computers are not good for us.
(ii) Mobile computers and the internet are both intended inventions

a) (i) only
b) (ii) only
c) both (i) and (ii)
d) neither (i) nor (ii)

Among 150 faculty members in an institute, 55 are connected with each other through Facebook ® and 85 are connected through WhatsApp ® . 30 faculty members do not have Facebook ® or WhatsApp ® accounts. The number of faculty members connected only through Facebook ® accounts is ______________.

a) 35
b) 45
c) 65
d) 90

Pick the odd one from the following options.

a) CADBE
b) JHKIL
c) XVYWZ
d) ONPMQ

Find the odd one in the following group of words.

mock, deride, praise, jeer

a) mock
b) deride
c) jeer
d) praise

Nobody knows how the Indian cricket team is going to cope with the difficult and seamer-friendly wickets in Australia.

Choose the option which is closest in meaning to the underlined phrase in the above sentence.

a) put up with
b) put in with
c) put down to
d) put up against

The man who is now Municipal Commissioner worked as ______________.

a) the security guard at a university
b) a security guard at the university
c) a security guard at university
d) the security guard at the university

In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________.

a) 40.00
b) 46.02
c) 60.01
d) 92.02

Consider the following statements relating to the level of poker play of four players P, Q, R, and S.

I P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q

Which of the following can be logically inferred from the above statements?

(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set

a) (i) only
b) (ii) only
c) (i) and (ii)
d) neither (i) nor (ii)

Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is. Which of the following can be logically inferred from the above sentences?

a) India is a country of exactly seventeen languages.
b) Linguistic pluralism is the only indicator of a nation’s diversity.
c) Indian currency notes have sufficient space for all the Indian languages.
d) Linguistic pluralism is strong evidence of India’s diversity.

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________.

a) 56
b) 64
c) 72
d) 96

If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?

a) zentaga
b) tagafer
c) tagazen
d) relffer

Archimedes said, “Give me a lever long enough and a fulcrum on which to place it, and I will move the world.” The sentence above is an example of a ___________ statement.

a) figurative
b) collateral
c) literal
d) figurine

A rewording of something written or spoken is a ______________.

a) paraphrase
b) paradox
c) paradigm
d) paraffin

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.

a) I will not leave the place until the minister does not meet me.
b) I will not leave the place until the minister doesn’t meet me.
c) I will not leave the place until the minister meet me.
d) I will not leave the place until the minister meets me.

The head of a newly formed government desires to appoint five of the six selected members P, Q, R, S, T and U to portfolios of Home, Power, Defence, Telecom, and Finance.

U does not want any portfolio if S gets one of the five.
R wants either Home or Finance or no portfolio.
Q says that if S gets either Power of telecom, then she must get the other one.
T insists on a portfolio if P gets one.

Which is the valid distribution of portfolios?

a) P-Home, Q-Power, R-Defence, S-Telecom, T-Finance
b) R-Home, S-Power, P-Defence, Q-Telecom, T-Finance
c) P-Home, Q-Power, T-Defence, S-Telecom, U-Finance
d) Q-Home, U-Power, T-Defence, R-Telecom, P-Finance

Alexander turned his attention towards India, since he had conquered Persia.

Which one of the statements below is logically valid and can be inferred from the above sentence?

a) Alexander would not have turned his attention towards India had he not conquered Persia.
b) Alexander was not ready to rest on his laurels, and wanted to march to India.
c) Alexander was not completely in control of his army and could command it to move towards India.
d) Since Alexander's kingdom extended to Indian borders after the conquest of Persia, he was keen to move further.

Select the pair that best expresses a relationship similar to that expressed in the pair:

Children : Pediatrician

a) Adult : Orthopaedist
b) Females : Gynaecologist
c) Kidney : Nephrologist
d) Skin : Dermatologist

Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything ________ to the requirements of the exam.

a) related
b) extraneous
c) outside
d) useful

The Tamil version of ________ John Abraham-starrer Madras Cafe _____ cleared by the Censor Board with no cuts last week, but the film’s distributors ______ no takers among the exhibitors for a release in Tamil Nadu _________ this Friday.

a) Mr., was, found, on
b) a, was, found, at
c) the, was, found, on
d) a, being, find at

If ROAD is written as URDG, then SWAN should be written as

a) VXDQ
b) VZDQ
c) VZDP
d) UXDQ

Most experts feel that in spite of possessing all the technical skills required to be a batsman of the highest order, he is unlikely to be so due to lack of requisite temperament. He was guilty of throwing away his wicket several times after working hard to lay a strong foundation. His critics pointed out that until he addressed this problem, success at the highest level will continue to elude him. Which of the statements(s) below is/are logically valid and can be inferred from the above passage?

(i) He was already a successful batsman at the highest level.
(ii) He has to improve his temperament in order to become a great batsman.
(iii) He failed to make many of his good starts count.
(iv) Improving his technical skills will guarantee success.

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

If p, q, r, s are distinct integers such that:

f(p, q, r, s) = max (p, q, r, s)
g(p, q, r, s) = min (p, q, r, s)
h(p, q, r, s) = remainder of (p × q) / (r × s) if (p × q) > (r × s) OR remainder of (r × s) / (p × q) if (r × s) > (p × q)
Also a function fgh (p, q, r, s) = f(p, q, r, s) × g(p, q, r, s) × h(p, q, r, s).

Also the same operation are valid with two variable functions of the form f(p, q).

What is the value of fg(h(2, 5, 7, 3), 4, 6, 8)?

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage

a) Since the report lacked needed information, it was of no use to them
b) The report was useless to them because there were no needed information in it
c) Since the report did not contain the needed information, it was not real useful to them
d) Since the report lacked needed information, it would not had been useful to them

If the list of letters, P, R, S, T, U is an arithmetic sequence, which of the following are also in arithmetic sequence?

I. 2P, 2R, 2S, 2T, 2U
II. P–3, R–3, S–3, T–3, U–3
III. P², R², S², T², U²

a) I only
b) I and II
c) II and III
d) I and III

Four branches of a company are located at M, N, O and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?

a) 5.34
b) 6.74
c) 28.5
d) 45.49

A generic term that includes various items of clothing such as a skirt, a pair of trousers and a shirt is

a) fabric
b) textile
c) fibre
d) apparel

Based on the given statements, select the most appropriate option to solve the given question. What will be the total weight of 10 poles each of same weight?

Statements:

(I) One fourth of the weight of a pole is 5 kg
(II) The total weight of these poles is 160 kg more
than the total weight of two poles.

a) Statement I alone is not sufficient
b) Statement II alone is not sufficient
c) Either I or II alone is sufficient
d) Both statements I and II together are not sufficient.

Choose the statement where underlined word is used correctly.

a) The industrialist had a personnel jet
b) I write my experience in my personnel diary
c) All personnel are being given the day off
d) Being religious is a personnel aspect

We __________ our friend’s birthday and we ________ how to make it up to him.

a) Completely forgot --- don’t just know
b) Forgot completely --- don’t just know
c) Completely forgot --- just don’t know
d) Completely forgot --- just don’t know

Consider the equation: (7526)₈ − (Y)₈ = (4364)₈ , where (X)N stands for X to the base N. Find Y.

a) 1634
b) 1737
c) 3142
d) 3162

By the beginning of the 20th century, several hypotheses were being proposed, suggesting a paradigm shift in our understanding of the universe. However, the clinching evidence was provided by experimental measurements of the position of a star which was directly behind our sun. Which of the following inference(s) may be drawn from the above passage?

(I) Our understanding of the universe changes based on the positions of stars
(II) Paradigm shifts usually occur at the beginning of centuries
(III) Stars are important objects in the universe
(IV) Experimental evidence was important in confirming this paradigm shift

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

Which number does not belong in the series below?

2, 5, 10, 17, 26, 37, 50, 64

a) 17
b) 37
c) 64
d) 26

Choose the word that is opposite in meaning to the word “coherent”.

a) sticky
b) well-connected
c) rambling
d) friendly

If she ___________ how to calibrate the instrument, she __________ done the experiment.

a) knows, will have
b) knew, had
c) had known, could have
d) should have known, would have

While trying to collect(I) an envelope from under the table (II), Mr. X fell down (III) and was losing consciousness (IV) Which one of the above underlined parts of the sentence is NOT appropriate?

a) I
b) II
c) III
d) IV

A dance programme is scheduled for 10.00 a.m. Some students are participating in the programme and they need to come an hour earlier than the start of the event. These students should be accompanied by a parent. Other students and parents should come in time for the programme. The instruction you think that is appropriate for this is

a) Students should come at 9.00 a.m. and parents should come at 10.00 a.m.
b) Participating students should come at 9.00 a.m. accompanied by a parent, and other parents and students should come by 10.00 a.m.
c) Students who are not participating should come by 10.00 a.m. and they should not bring their parents. Participating students should come at 9.00 a.m.
d) Participating students should come before 9.00 a.m. Parents who accompany them should come at 9.00 a.m. All others should come at 10.00 a.m.

The number of people diagnosed with dengue fever (contracted from the bite of a mosquito) in north India is twice the number diagnosed last year. Municipal authorities have concluded that measures to control the mosquito population have failed in this region. Which one of the following statements, if true, does not contradict this conclusion?

a) A high proportion of the affected population has returned from neighbouring countries where dengue is prevalent.
b) More cases of dengue are now reported because of an increase in the Municipal Office’s administrative efficiency.
c) Many more cases of dengue are being diagnosed this year since the introduction of a new and effective diagnostic test.
d) The number of people with malarial fever (also contracted from mosquito bites) has increased this year.

The old city of Koenigsberg, which had a German majority population before World War 2, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the Baltic Sea on the north and the countries of Poland to the south and west and Lithuania to the east respectively. Which of the statements below can be inferred from this passage?

a) Kaliningrad was historically Russian in its ethnic make up.
b) Kaliningrad is a part of Russia despite it not being contiguous with the rest of Russia.
c) Koenigsberg was renamed Kaliningrad, as that was its original Russian name.
d) Poland and Lithuania are on the route from Kaliningrad to the rest of Russia.

Match the columns.

a) 1:S, 2:P, 3:Q, 4:R
b) 1:P, 2:Q, 3:R, 4:S
c) 1:Q, 2:R, 3:S, 4:P
d) 1:S, 2:P, 3:R, 4:Q

Who _________ was coming to see us this evening?

a) you said
b) did you say
c) did you say that
d) had you

Choose the most appropriate phrase from the options given below to complete the following sentence.

India is a post-colonial country because

a) It was a former British colony
b) Indian Information Technology professionals have colonized the world
c) India does not follow any colonial practices
d) India has helped other countries gain freedom

If x is real and |x² - 2x + 3| = 11, then possible values of |- x³ + x² - x| include

a) 2,4
b) 2,14
c) 4,52
d) 14,52

When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal planes are created with these lines? ____________

Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the one way single person fare is Rs 100, a group of 5 tourists purchasing round-trip tickets will be charged Rs _________.

If (z + 1/z)²=98, compute (z² + 1/z²)

The Palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighbouring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighbouring regions of Kerala having higher summer temperatures. What can be inferred from this passage?

a) The Palghat gap is caused by high rainfall and high temperatures in southern Tamil Nadu and Kerala
b) The regions in Tamil Nadu and Kerala that are near the Palghat Gap are low-lying
c) The low terrain of the Palghat Gap has a significant impact on weather patterns in neighbouring parts of Tamil Nadu and Kerala
d) Higher summer temperatures result in higher rainfall near the Palghat Gap area

In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey by the statement?

a) He wants all the money
b) He will return the money
c) He will assume final responsibility
d) He will resist all enquiries

Choose the most appropriate word from the options given below to complete the following sentence. He could not understand the judges awarding her the first prize, because he thought that her performance was quite __________.

a) superb
b) medium
c) mediocre
d) exhilarating

Which of the following options is the closest in meaning to the phrase underlined in the sentence below?

It is fascinating to see life forms cope with varied environmental conditions.

a) adopt to
b) adapt to
c) adept in
d) accept with

The roots of ax² + bx + c are real and positive. a, b and c are real. Then ax² + b|x| + c has

a) no roots
b) 2 real roots
c) 3 real roots
d) 4 real roots

Geneticists say that they are very close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently, that doctors will be able to eradicate these diseases through early identification and gene therapy. On which of the following assumptions does the statement above rely?

a) Strategies are now available for eliminating psychiatric illnesses
b) Certain psychiatric illnesses have a genetic basis
c) All human diseases can be traced back to genes and how they are expressed
d) In the future, genetics will become the only relevant field for identifying psychiatric illnesses