IBSAT Sample Paper 1 Question Paper with Solutions PDF

GARNE

• (A) Pulverize
• (B) Marinate
• (C) Enthrall
• (D) Emblazon
• (E) Collect

IMPERIOUS

• (A) Domineering
• (B) Ravenous
• (C) Striking
• (D) Effervescent
• (E) Humdrum

CONTUMACIOUS

• (A) Pristine
• (B) Conservative
• (C) Disobedient
• (D) Optimistic
• (E) Opinionated

QUIESCENT

• (A) Serene
• (B) Concomitant
• (C) Dormant
• (D) Clammy
• (E) Hopeless

DISQUIETUDE

• (A) Easiness
• (B) Discussion
• (C) Passion
• (D) Anxiety
• (E) Salubrity

VITIATE

• (A) Trust
• (B) Deaden
• (C) Drain
• (D) Rectify
• (E) Amuse

TRITE

• (A) Peaceful
• (B) Powerful
• (C) Noiseless
• (D) Skeptical
• (E) Original

CONTRITE

• (A) Unrepentant
• (B) Expanded
• (C) Remorseful
• (D) Unresolved
• (E) Prevailing

SQUANDER

• (A) Depart
• (B) Preserve
• (C) Forfeit
• (D) Fortify
• (E) Destroy

INDIGENT

• (A) Modest
• (B) Impetuous
• (C) Profitable
• (D) Prosperous
• (E) Garish

Song : Cycle :: Sonnet :

• (A) Ballad
• (B) Melody
• (C) Rhyme
• (D) Sequence
• (E) Epic

Lumber : Bear :: Waddle :

• (A) Parrot
• (B) Pigeon
• (C) Goose
• (D) Hawk
• (E) Sparrow

Archipelago : Island :: Constellation :

• (A) Garden
• (B) Flower
• (C) Star
• (D) Valley
• (E) Mountain

Range : Mountains :: String :

• (A) Ribbons
• (B) Toys
• (C) Beads
• (D) Keys
• (E) Leaves

Bracket : Shelf :: Strut :

• (A) Bucket
• (B) Valve
• (C) Girder
• (D) Hammer
• (E) Rafter

If a nation is unable to come to _________ on interpreting its own past, it will be unable to _________ its national interests.

• (A) conclusion … plan
• (B) decision … comprehend
• (C) consolidation … meet
• (D) consensus … formulate
• (E) terms … design

Globalization _________ both prosperity and _________.

• (A) causes … development
• (B) reveals … doom
• (C) condemns … bliss
• (D) spreads … distress
• (E) transmits … generosity

Unscrupulous use of chemical insecticides to _________ the pests leads to pest _________.

• (A) aggravate … modification
• (B) disintegrate … mobility
• (C) rectify … revival
• (D) kill … stimulation
• (E) control … resurgence

A _________ relationship with Moscow will help New Delhi to _________ its ties with both Washington and Beijing.

• (A) robust … leverage
• (B) healthy … enhance
• (C) mutual … lose
• (D) perfect … ally
• (E) vigorous … cement

A judge tries to _________ his duties to the best of his _________.

• (A) fulfill … quality
• (B) discharge … capacity
• (C) execute … strength
• (D) perform … power
• (E) manage … ideas

Language cannot be static/ it must constant evolve/ to keep up with changing times/ and remain relevant. No error

• (A) static;
• (B) constant evolve
• (C) to keep up with changing times/
• (D) and remain relevant
• (E) No error

If he would have taken rest/ as advised by the doctor,/ he might not have/ had a second heart attack. No error

• (A) If he would have taken rest/
• (B) as advised by the doctor/
• (C) he might not have/
• (D) had a second heart attack.
• (E) No error

The total allocation for education/ in this year's budget is Rs 34,400 crore,/ an amount that has gone up/ in 20 percent from last year. No error

• (A) The total allocation for education/
• (B) in this year's budget is Rs 34,400 crore,/
• (C) an amount that has gone up/
• (D) in 20 percent from last year.
• (E) No error

Of the two cars/ that my friend has,/ the new Ford is without any question,/ the cheapest to run. No error

• (A) Of the two cars/
• (B) that my friend has/
• (C) the new Ford is without any question,/
• (D) the cheapest to run.
• (E) No error

Although China is at present/ far ahead of India/ in terms of economic progress,/ it's education system is seriously flawed. No error

• (A) Although China is at present/
• (B) far ahead of India/
• (C) in terms of economic progress,/
• (D) it's education system is seriously flawed.
• (E) No error

In many corporations, employees are replace by automated equipments so that to save money.

• (A) Are replace by automated equipments so that to
• (B) Are being replaced by automated equipment in order to
• (C) Were replaced by automated equipment so as to
• (D) Are replacing by automated equipment such that that
• (E) Replaces by automated equipment accordingly to

Tropical forests play a key role as the world’s carbon and wildlife reservoirs.

• (A) Play a key role as the world’s
• (B) Had played a key role in the world’s
• (C) Have been played a key role at the world’s
• (D) Has played a key role for the world’s
• (E) Plays a key role beside the world’s

Research shows that besides from obesity, Office Ergonomics are a leading factor that contributes to backache.

• (A) Besides from obesity, Office Ergonomics are a leading factor
• (B) Apart from obesity, Office Ergonomics is a leading factor
• (C) Along with obesity, Office Ergonomics were leading factors
• (D) Beside obesity, Office Ergonomics should be leading factor’s
• (E) Coupled with obesity, Office Ergonomics was leading factors’

Even as a series of bad news from the US has hit the global financial scene hard, the Indian IT companies have gone into stock taking mode.

• (A) Have gone into
• (B) Has gone for
• (C) Have been going to
• (D) Might have been going on
• (E) Are going in

A new study has found that almonds could help improving our digestion health by increasing levels of beneficial gut bacteria.

• (A) Could help improving our digestion
• (B) Can help improved our digestion
• (C) Could be helping to improve our digestive
• (D) Can help improved our digestive
• (E) Could help improve our digestive

P: Developed countries, including European economies and to a lesser extent
Q: Nevertheless, managed to maintain robust rates of economic growth
R: Developing countries have been affected as well, but they have
S: Japan, have been hit by the crisis in the US

• (A) QRSP
• (B) SRQP
• (C) RSQP
• (D) PSRQ
• (E) QSPR

P: Telescope arrays in the Northern and Southern hemispheres
Q: In Leh for an international collaboration that is
R: India plans to offer an astronomical site at Hanle
S: Exploring the possibility of setting up two large gamma-ray

• (A) PSQR
• (B) SPRQ
• (C) RQSP
• (D) QPRS
• (E) QSRP

P: Farmers of South India, particularly, Kerala
Q: Coconut is the major crop cultivated by small and marginal
R: Coconut is the cost and unavailability of laborers
S: For every farmer, the practical difficulty in carrying out plant protection in

• (A) SQRP
• (B) PRQS
• (C) SQPR
• (D) RQPS
• (E) QPSR

P: The environmental problems the world is facing
Q: As it is called, will not reverse global warming
R: Going dark has its uses, Earth Hour
S: But it is a good way to raise awareness about

• (A) PSQR
• (B) RQSP
• (C) SQPR
• (D) QPRS
• (E) QSRP

P: We should definitely move them
Q: To cooler climes and safer environments
R: If some species cannot survive in their current habitat
S: Due to global warming or human proximity

• (A) SPRQ
• (B) QRPS
• (C) SQPR
• (D) PRSQ
• (E) RSPQ

An action that is bad or unacceptable, but not very serious.

• (A) Felony
• (B) Etiquette
• (C) Misdemeanor
• (D) Repression
• (E) Concord

An animal or plant that lives in or on another animal or plant.

• (A) Sycophant
• (B) Bigot
• (C) Proselyte
• (D) Chauvinist
• (E) Parasite

To make someone angry by hurting the pride.

• (A) Pique
• (B) Quell
• (C) Nurture
• (D) Mitigate
• (E) Divulge

Harsh or insensitive in manner.

• (A) Stupendous
• (B) Abrasive
• (C) Venomous
• (D) Fecund
• (E) Odious

Having the habit of putting forward one’s own view noisily without any regard for the feelings of others.

• (A) Lissome
• (B) Gullible
• (C) Desolate
• (D) Naïve
• (E) Bumptious

She was sure to steal a march upon her rivals.

• (A) Oppose
• (B) Confront
• (C) Outshine
• (D) Avoid
• (E) Compromise

The carrot and stick policy pays dividends in every organization.

• (A) Rigorous training
• (B) Continuous vigilance
• (C) Democratic approach
• (D) Reward and punishment
• (E) Authoritative style

My friend has a bee in his bonnet.

• (A) Obsessed with something
• (B) Remains unaffected
• (C) Thinks a lot
• (D) Always busy
• (E) Be restless

If we give them this concession, it will be the thin end of the wedge.

• (A) The least we could do for them
• (B) The beginning of further concessions
• (C) Inadequate to fulfill their needs
• (D) A compromise on principle
• (E) Lead to more demands

Archana cut me dead in the street.

• (A) Deceived me
• (B) Abused me
• (C) Pushed me
• (D) Left me
• (E) Ignored me completely

From the following select the appropriate word to replace number 46 in the above passage.

• (A) Untrained
• (B) Skilled
• (C) Homogenous
• (D) Supplementary
• (E) Talented

From the following select the appropriate word to replace number 47 in the above passage.

• (A) Help
• (B) Utilize
• (C) Suffice
• (D) Apply
• (E) Call

From the following select the appropriate word to replace number 48 in the above passage.

• (A) Dispensable
• (B) Perfunctory
• (C) Inessential
• (D) Mandatory
• (E) Necessary

From the following select the appropriate word to replace number 49 in the above passage.

• (A) Destroyed
• (B) Cleared
• (C) Smothered
• (D) Diluted
• (E) Culled

From the following select the appropriate word to replace number 50 in the above passage.

• (A) Conserved
• (B) Eroded
• (C) Honored
• (D) Outmoded
• (E) Perforated

What is the most significant aspect noticed in his plays?

• (A) Absurdity
• (B) Manipulative effect
• (C) Fatal errors
• (D) Struggle for power
• (E) Linguistic agility

Select the synonym of the word ‘mordantly’ as used in the passage.

• (A) Complacently
• (B) Noticeably
• (C) Hauntingly
• (D) Deadly
• (E) Harshly

Pinter was the most imitated dramatist of his times because

• (A) His writings at once evoke a rare sensibility which is an endearing trait
• (B) He found the ominous in the everyday and the noise within silence
• (C) He was one of the few modern writers whose name became part of modern cultural vocabulary
• (D) He was publicly outspoken in his views on repression and censorship, not only at home but also abroad
• (E) His works depict violence though he does not look around for trouble

What was the most burlesqued aspect of Pinter’s writing?

• (A) Characters that are ready to hit but afraid to strike
• (B) The ‘pause’ which is used as an instructive note to actors
• (C) The consistent usage of ‘pause’ with rhythmic assurance
• (D) His focused performance and economy of gesture
• (E) Introducing ‘pause’ which has a violent effect

What was the tone of his plays?

• (A) Skeptical
• (B) Pessimistic
• (C) Candid
• (D) Critical
• (E) Unconvincing

Which of the following words, used in the passage, is a one-word substitute for the phrase, ‘a figure of speech in which an expression is used to refer to something that it does not literally denote in order to suggest a similarity’?

• (A) Weasel
• (B) Metaphor
• (C) Image
• (D) Pause
• (E) Space

What did he capture in his most celebrated works?

• (A) The anxiety and ambiguity of life in the latter half of the 20th century
• (B) The slipperiness of memory and human character
• (C) The struggle for power
• (D) The repression and censorship adopted by the US in the matter of Iraq
• (E) None of the above

How did Pinter describe The Birthday Party?

• (A) It is a very serious piece of work
• (B) It is supposed to be a comedy of errors
• (C) It is absurd and inglorious in its content
• (D) It is technically flawed in construction
• (E) It is a byword for strong and unspecified menace

Choose the meaning of ‘resilience’ as used in the passage.

• (A) Susceptible to criticism or persuasion or temptation
• (B) Good-natured tolerance of delay or incompetence
• (C) Able to withstand or recover quickly from difficult conditions
• (D) The distinct personality of an individual regarded as a persisting entity
• (E) An acute but unspecific feeling of anxiety, usually reserved for philosophical anxiety about the world or about personal freedom

The ‘New Woman’ emerged by

• (A) Relieving herself from all sorts of restrictions laid down by Indian men
• (B) Breaking all the shackles set forth by the society authoritatively as obligatory
• (C) Creating her own ‘space’ within the confines of the four walls of her home
• (D) Pushing herself against the norms and traditions prevailing in the Indian society
• (E) Receiving the right kind of education at the right time that helped her to emancipate herself

What according to the author is a sign of women empowerment?

• (A) Refusing to play stereotyped roles
• (B) Raising the voice against paradoxes
• (C) Earning more money than men
• (D) Seeking total liberation
• (E) Rebelling against the prevailing norms

Presently, what is the ‘New Woman’ engaged in?

• (A) She is claiming monetary independence so that she can enjoy greater autonomy
• (B) She realized the significance of freedom and equality and so is fighting for equal rights
• (C) She is contesting for her share of space which is of utmost importance to a woman
• (D) She is very busy building a self image for herself and in keeping up her identity against all odds
• (E) She is courageously treading uncharted paths which are dreaded even by her male counterparts

In the present days, what is the most terrifying actuality regarding a girl child?

• (A) Increasing school dropout rate
• (B) Gifting the girl child to temples
• (C) Low allocation of education budget
• (D) Domestic violence and molestation
• (E) Gender cleansing

According to the passage, which of the following statements is true?

• (A) A woman of substance is the one who meekly surrenders to male domination
• (B) Blogs and network sites are now used as effective tools to express a woman’s anger for denying her the freedom
• (C) Women writers articulate their experiences in a voice which is yet to be heard
• (D) The IT and travel sectors are the two upcoming fields that restricted growth opportunities for women
• (E) Ever since the days of freedom struggle, lack of sustained efforts by women organizations added to their already existing misery

The author highlights the fact that

• (A) Sons are at a premium in India
• (B) Girl child education is given utmost importance in urban areas
• (C) Discrimination extends to all areas including the food that is given to a girl
• (D) It is worrisome to note that the all-India sex ratio is declining rapidly
• (E) Daughters have choices of their own and are given total freedom

What is the central theme of the present passage?

• (A) What is ‘new’ for one woman maybe ‘old’ for another and some other woman might be facing severe male domination
• (B) There is tremendous diversity among the different groups of Indian women
• (C) Women are prone to violence in all walks of life and they are subjected to suppression right from their birth
• (D) Celebrating the New Age woman who scripts her own success stories
• (E) Dowry deaths are mostly prevalent in rural India and the girl child is neglected by the family members

What is the author’s gut feeling?

• (A) Scientists will invent a mechanism that might trigger a genome and convert it into the bacterium
• (B) Scientists will succeed in creating a synthetic genome which has the characteristics of a natural one
• (C) Scientists will improve upon the synthetic gene and find an alternative which is akin to the proto-cell of the bacterium
• (D) Scientists will prove that the DNA structure of a proto-cell is similar to that of an artificial one
• (E) Scientists will find a way to insert the bacterial genome into the proto-cell and somehow trigger it to make the bacterium itself

Which of the following words aptly substitutes ‘flummox’ as used in the passage?

• (A) Control
• (B) Petrify
• (C) Bewilder
• (D) Challenge
• (E) Demystify

Why does the author refer to Thomas Hardy’s poem?

• (A) To estimate the role played by direct properties attributable to one’s parentage
• (B) To underline the significance of the biological process whereby genetic factors are transmitted from one generation to the next
• (C) To emphasize the importance of the total of inherited attributes that rarely come by natural descent
• (D) To highlight the purpose of genetic endowment which can be traced through the family face
• (E) To evaluate the function of genes that are seldom present among the descendants of one individual

According to the passage, which of the following statements is not true?

• (A) Thomas Hardy’s poem, Heredity, reflects the DNA in a human being’s genome
• (B) Creating life in a lab will surely raise pertinent questions pertaining to ethics
• (C) Scientists, in future, will be able to create life under artificial conditions
• (D) Cloning of Dolly, the sheep, has invited the wrath of people because the sheep soon died a miserable death
• (E) Two centuries ago, urea was synthesized in a chemical laboratory

What did the scientists at JCVI do?

• (A) They circumvented nature’s constraint of direct descent
• (B) They bypassed nature’s laws and produced a natural gene
• (C) They invented an imperishable gene which is synthetic in nature
• (D) They ignored the theory of inheritance and created an intrinsic gene
• (E) They produced a gene which can be preserved permanently

A recently initiated technology, which is ethically acceptable, is

• (A) Assembling the complex biological molecule
• (B) Gene sequencing
• (C) Assisted reproduction
• (D) Stitching together of an artificial cell
• (E) Inserting a proto-cell into the bacterium

What was the outcome of their research?

• (A) They analyzed the DNA sequence of the synthetic gene in the laboratory for the first time
• (B) They contrasted the properties of a synthetic gene with that of a natural one
• (C) They created a gene sequence in artificial conditions which could undergo mutation
• (D) They produced the first synthetic genome in the laboratory which is analogous to the natural one
• (E) They studied the functions of a natural gene and a synthetic gene under controlled conditions of a laboratory

According to the author’s opinion, what would be the result of cloning a human being?

• (A) It will invite people’s indignation
• (B) It would be a wonderful prospect for humanity
• (C) It might change the face of the earth
• (D) It will be looked down as a sin
• (E) It will prove to be a global catastrophe

The DNA pieces of the synthetic genome were stitched together by using

• (A) The method of biochemical synthesis
• (B) The biochemical machinery of a host cell
• (C) The biochemical genome of a host cell
• (D) The DNA sequence of a host cell
• (E) The synthesized DNA pieces of a host cell

Which of the following statements is not true in context of the given passage?

• (A) There is a need for a new renaissance
• (B) The poor and needy are oppressed by modern man
• (C) Modern man is not an individualist
• (D) Western renaissance has held a great deal of promise for mankind

The author hopes that the present crisis can be solved by

• (A) Devoted individual efforts
• (B) Different political systems
• (C) Spiritual individuals
• (D) Purposeful and collective efforts

The author appears to be advocating which of the following approaches to be adopted by the society?

• (A) Capitalist
• (B) Communist
• (C) Humanistic
• (D) Socialist

The modern value systems encourage the importance of which of the following?

• (A) Craving for power and possession
• (B) Basic respect for all individuals
• (C) Spiritual development of an individual
• (D) Spirit of inquiry and knowledge

According to the passage, why has modern man turned out to be an enemy of everything that is non-human?

• (A) He hates and distrusts other human beings
• (B) He has been dominated by the drives of acquisitiveness and power
• (C) He consciously practices the spirit of cooperation
• (D) He is preoccupied with his own self

P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of  10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns  60,000 more than Q, then how much does P earn?

• (A) 1,00,000
• (B) 1,20,000
• (C) 1,35,000
• (D) 1,50,000
• (E) 1,80,000

Given \(A=x+y^{2}+z^{3}\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?

• (A) 12
• (B) 18
• (C) 26
• (D) 33
• (E) 63

What is the area of the square, if four vertices lie on the circumference of a circle where the area of the circle is four times its diameter in magnitude?

• (A) \(\dfrac{8}{\pi^{2}}\) sq.units
• (B) \(\dfrac{16}{\pi^{2}}\) sq.units
• (C) \(\dfrac{32}{\pi^{2}}\) sq.units
• (D) \(\dfrac{64}{\pi^{2}}\) sq.units
• (E) \(\dfrac{128}{\pi^{2}}\) sq.units

The charge for sending a telegram is constant for the first 10 or less words and an amount proportional to the number of words exceeding 10. If the charge for a 15 word telegram is ₹ 3.00 and that for a 20 word is ₹ 4.25, how much would it cost to send a 35 word telegram?

• (A) ₹ 8.00
• (B) ₹ 9.50
• (C) ₹ 10.50
• (D) ₹ 11.25
• (E) ₹ 12.50

If \(f(a,b)=a^{2}+b^{2}\) and \(g(a,b)=\dfrac{2}{b^{2}}\left[a^{2}+b^{2}\right]\), then what is the value of \(f(6,3)-g(8,4)\)?

• (A) 30
• (B) 35
• (C) 40
• (D) 45
• (E) 40

There are eight persons – P, Q, R, S, T, U, V and W – standing in a row and four distinct articles A, B, C and D are to be given to four people. No four neighboring persons receive an article. How many ways can this distribution be done?

• (A) 1680 ways
• (B) 1560 ways
• (C) 1440 ways
• (D) 1380 ways
• (E) 1320 ways

In the figure below, PT and ST are two secants. If O is the centre of the circle and PQ = 2QT = 8 cm, OS = 5 cm, then what is the measure of the line OT? (Figure not drawn to scale)

• (A) \(\sqrt{54}\) cm
• (B) \(\sqrt{60}\) cm
• (C) 8 cm
• (D) \(\sqrt{73}\) cm
• (E) \(\sqrt{80}\) cm

Gopi constructed a right-angled triangle. By modifying the dimensions of the first triangle, he drew another triangle. The modifications are – the largest side is increased by 5 cm, the smallest side is doubled, and the third side is increased by 50%. If the triangle formed with these new dimensions has equal angles, then what is the perimeter of the new triangle?

• (A) 45 cm
• (B) 60 cm
• (C) 90 cm
• (D) 120 cm
• (E) 150 cm

What is the ratio of the sum of the squares of the sides of a triangle to the sum of the squares of its medians?

• (A) \(1:2\)
• (B) \(2:1\)
• (C) \(2:3\)
• (D) \(3:4\)
• (E) \(4:3\)

The boat will sink when the weight on it increases beyond \(350\,\)kg. There is a hole through which water leaks in at \(0.4\) kg/s. The boat weighs \(1200\) kg, the boatman \(48\) kg, and there are four passengers weighing \(42.5,\,53.5,\,43.5,\,54.5\) kg. The boatman throws out water at \(0.04\) kg/s. How long will the boat float?

• (A) \(60\) hours
• (B) \(80\) hours
• (C) \(96\) hours
• (D) \(100\) hours
• (E) \(120\) hours

In an organization, there are four departments A, B, C and D with some accountants, managers, stenographers and office boys working together. Department A has 10 accountants, 8 managers, 7 stenographers and 3 office boys. The total monthly salary of all these employees is ` 2,37,500. Department B has 5 stenographers, 12 accountants, 6 managers and 7 office boys. The total monthly salary of all these employees is ` 2,31,500. Department C has 4 managers, 4 stenographers, 5 office boys and 7 accountants. The total monthly salary of all these employees is ` 1,51,000. If all the respective employees are paid equally in all the departments, then find the total monthly salary of 18 accountants, 11 managers, 10 stenographers and 10 office boys of department D?

• (A) 2,85,500
• (B) 3,25,500
• (C) 3,60,500
• (D) 3,85,500
• (E) 4,15,000

If \(\log_{a^{4}} 65536 = 2\), what is the value of `a’?

• (A) 2
• (B) 4
• (C) 6
• (D) 8
• (E) \(\sqrt{2}\)

A six-digit code is to be formed using 6 distinct numbers. Number in the first place is square of a prime number in third place. Numbers in 4th, 6th, 2nd and 1st place are consecutive numbers. If all odd digits except 1 are present in the code, what is the sum of all the digits?

• (A) 17
• (B) 21
• (C) 34
• (D) 38
• (E) 43

The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where \( f(x) = \dfrac{x}{x - 1} \). What could be the functional form g(x)?

• (A) \(\dfrac{1}{x}\)
• (B) \(\dfrac{x}{x + 1}\)
• (C) \(\dfrac{x + 1}{x}\)
• (D) \(\dfrac{x}{x - 1}\)
• (E) \(\dfrac{x}{1 - x}\)

What is the unit’s digit of the expression \(77^{920} + 64^{165} + 53^{246}\) ?

• (A) 0
• (B) 1
• (C) 2
• (D) 3
• (E) 4

A blind man lives in an apartment containing 2 rooms. Each day before going to work he enters any one room randomly, picks up a bag and leaves home. One of the rooms contains 3 blue, 4 green and 5 red bags and the other contains 2 blue, 1 green and 3 red bags. What is the probability that he takes a green bag to his workplace?

• (A) \(\dfrac{1}{4}\)
• (B) \(\dfrac{1}{3}\)
• (C) \(\dfrac{1}{2}\)
• (D) \(\dfrac{2}{3}\)
• (E) \(\dfrac{3}{4}\)

There are three cans and a bucket. The cans each have a capacity of 5 litres, but are partially filled with water. The bucket also has some water in it. The sum of the water in the bucket and water in the first can is half of the total bucket capacity. When the first and third cans are emptied into the bucket, it contains 6 litres of water. Instead, when the second and the third cans are emptied into the bucket, it contains 7 litres of water. When water in all the cans are poured into the bucket, it is filled to its capacity. The first and second can contain a total of 7 litres. How many litres did the bucket already contain?

• (A) 1 litre
• (B) 2 litres
• (C) 3 litres
• (D) 4 litres
• (E) 5 litres

If the selling price of an article is five times the discount offered and if the percentage of discount is equal to the percentage profit, what is the ratio of the discount offered to the cost price?

• (A) 11 : 30
• (B) 4 : 15
• (C) 7 : 30
• (D) 1 : 6
• (E) 3 : 25

The dimensions of a triangle are 15 cm, 8 cm, and 17 cm. What is the area of a circle having radius \((r + 4)\) cm if ‘r’ is the inradius of the given triangle?

• (A) \(36\pi\) cm\(^2\)
• (B) \(49\pi\) cm\(^2\)
• (C) \(54\pi\) cm\(^2\)
• (D) \(64\pi\) cm\(^2\)
• (E) \(81\pi\) cm\(^2\)

What is the geometric mean of the sequence 1, 3, 9, 27, 81, …, \(3^n\)?

• (A) \(3^{\frac{n(n+1)}{2}}\)
• (B) \(3^{\frac{n}{2}}\)
• (C) \(3^{n}\)
• (D) \(3^{2n}\)
• (E) \(3^{n(n+1)}\)

Given quadratic equation is \(x^{2}-|x|-30=0\). Then which of the following statements is/are incorrect?

• (A) \(x-6=0\)
• (B) \(x+6=0\)
• (C) \(x+5=0\)
• (D) \(x+7=0\)
• (E) Both (c) and (d)

In a shooting competition, all shooters must hit the letter space where letter ‘A’ is written (small equilateral triangle of side \(3\) cm) on a target board shaped as a larger similar triangle of side \(12\) cm. What is the probability that the shooter will hit that space?

• (A) \(\,\dfrac{1}{16}\)
• (B) \(\,\dfrac{1}{12}\)
• (C) \(\,\dfrac{1}{8}\)
• (D) \(\,\dfrac{1}{4}\)
• (E) \(\,\dfrac{3}{4}\)

What is the value of \(\sqrt{\,42+\sqrt{\,42+\sqrt{\,42+\sqrt{\,42+\cdots}}}\,}\) ?

• (A) \(-7\)
• (B) \(-6\)
• (C) \(6\)
• (D) \(7\)
• (E) \(42\)

Rohit purchased a car and a plot at the same time. At the end of the first two years the value of the plot increased by \(30%\) and the value of the car decreased by \(10%\). At the end of next two years, the value of the car decreased by \(20%\) and the value of the plot increased by \(25%\). At the end of next two years, the value of the plot increased by \(20%\) and the value of car decreased by \(25%\). Had he sold both the car and the plot at the end of sixth year, he would have got \(56%\) more from the plot than from the car. How much less did he pay for the plot than the car when he purchased them?

• (A) 42%
• (B) 46%
• (C) 52%
• (D) 54%
• (E) 56%

An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?

• (A) 65
• (B) 119
• (C) 184
• (D) 185
• (E) 213

A series is formed in such a manner that the first term is the first natural number, the second is the square of the first term, the third term is the third natural number and fourth is the square of the third term and so on. What is the sum of the first 50 terms of the series?

• (A) 19825
• (B) 19450
• (C) 20825
• (D) 21450
• (E) 22825

Anu collected certain number of coins of denominations ₹1, ₹2, and ₹5. She has certain number of ₹2 coins, 4 times as many ₹1 coins as ₹5 coins, and 15 more ₹2 coins than ₹1 coins. If the total value is ₹490, how many ₹2 coins are there?

• (A) 11
• (B) 20
• (C) 35
• (D) 60
• (E) 70

What is the probability that a two-digit positive integer N has the property that the difference of N and the number obtained by reversing the order of its digits is a perfect cube?

• (A) 4/45
• (B) 5/15
• (C) 6/45
• (D) 7/45
• (E) 8/45

Given quadratic equation is \(x^{2}-|x|-30=0\). Then which of the following statements is/are incorrect?

• (A) \(x-6=0\)
• (B) \(x+6=0\)
• (C) \(x+5=0\)
• (D) \(x+7=0\)
• (E) Both (c) and (d)

In a shooting competition, all shooters must hit the letter space where letter ‘A’ is written (small equilateral triangle of side \(3\) cm) on a target board shaped as a larger similar triangle of side \(12\) cm. What is the probability that the shooter will hit that space?

• (A) \(\,\dfrac{1}{16}\)
• (B) \(\,\dfrac{1}{12}\)
• (C) \(\,\dfrac{1}{8}\)
• (D) \(\,\dfrac{1}{4}\)
• (E) \(\,\dfrac{3}{4}\)

In the figure below, what is the area of the smaller circle?


Statement 1: The two larger circles have the same radii of 8 cm each and \( O'O'' = 12 \, cm \).

Statement 2: The centres \( O, O' \) and \( O'' \) of the three circles are collinear.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

What is the unit’s digit of the number \( (8pqr)^{64} \) where p, q, and r are the hundredth, tenth, and unit digits of the number?



Statement 1: The product of \( p \) and \( q \) is 12.

Statement 2: The product of \( q \) and \( r \) is 24 and \( r \) is greater than 4.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

Which has the greater length, \(AB\) or \(CD\)?


Statement 1: \(CD\) is the diameter of the circle.

Statement 2: \(AB\) is the length of the side of a square inscribed in a circle whose radius is half of \(CD\).

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

Ritu, Deep, Lakshya, Krish, Suja, Adi and Anu are seven friends and belong to the same family. Ritu has a son and a daughter. Krish and Deep are males. Suja and Lakshya are females. What is the relationship between Suja and Adi?


Statement 1: Ritu has a grandson and a granddaughter and Anu is Krish’s niece.

Statement 2: Suja is Lakshya’s sister-in-law and Deep has two children Adi and Anu.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

Are \(\triangle ABC\) and \(\triangle PQR\) congruent?


Statement 1: The triangles are right-angled triangles.

Statement 2: The base and heights of two triangles are equal.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

A survey on games played by 400 college students shows: 15% Hockey, 25% Football, 30% Cricket, 15% Basketball, 15% Tennis. What is the ratio of the minimum number of students from college A who play Basketball to the number from college A who play Football?


Statement 1: Students from college A comprise 20% of total students surveyed.

Statement 2: 15% of the total students who play Basketball and Football are from college A.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

If ‘a’ and ‘b’ are integers, is \( \left(\dfrac{a}{6}+\dfrac{b}{5}\right) \) an integer?


Statement 1: ‘a’ is divisible by 5 and ‘b’ is divisible by 6.

Statement 2: ‘a’ is a multiple of 6 which is one–tenth the value of ‘b’.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

A, B, C, D, E and F are six whole numbers. Is the 6-digit number “ABCDEF” divisible by \(132\)?


Statement 1: The last four digits of the number have a factor \(4\) and \(A+C+E=12(B+D+F)\).

Statement 2: Sum of all the digits of the given number is divisible by \(24\).

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

What was A’s score in fourth aptitude test?


Statement 1: A’s score in the fourth test was 12 points higher than the average score in the first three tests written.

Statement 2: A’s score on the fourth test raised the average test score from 80 to 85.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

What is the value of \(xyz\)?


Statement 1: \(x^{a}=y^{b}=z^{c}\) and \(ab+bc+ca=0\) where \(a, b, c\) are non-zero integers.

Statement 2: \(a^{x}=b^{y}=c^{z}=a\) where \(a, b, c\) are non-zero integers.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

In \(\triangle ABC\), \(AB=2\) cm and \(BC=4\) cm. What is the length of \(AC\)?


Statement 1: The three sides of the triangle are in geometric progression.

Statement 2: \(\angle ABC = 30^\circ\).

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

Is \(xy\) negative?


Statement 1: \(\ (x+y)^2 < (x-y)^2\).

Statement 2: \(\ (x-y)\) is positive.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

a, b, and c are three positive integers. What is the value of \(a^2 + b^2 + c^2\)?


Statement 1: \(a^2 + b^2 = 17\) and \(c\) is the arithmetic mean of \(a\) and \(b\).

Statement 2: The geometric mean of \(a\) and \(b\) is \(2\).

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

What is today’s date?


Statement 1: Three days before it was Friday.

Statement 2: One week before it was the first Tuesday in April 2007.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

A right circular cone (PQR) is cut into two parts, cone (C) and frustum (F), by a plane parallel to the base. What is the ratio of the volume of C to the volume of F?


Statement 1: PQR is twice the radius of C.

Statement 2: PQR has been cut off at the middle of its height.

• (a) If the data in statement (1) alone is sufficient to answer the question
• (b) If the data in statement (2) alone is sufficient to answer the question
• (c) If the data in both the statements together are needed to answer the question
• (d) If either statement (1) alone or statement (2) alone is sufficient to answer the question
• (e) If neither statement (1) nor statement (2) suffices to answer the question

Question 126:

If the given highest scores are taken, what is the least % share of Australia in the total scores of each Cup?

• (A) 21%
• (B) 23.9%
• (C) 24.7%
• (D) 26.8%
• (E) 31.8%

In which Cup is the % increase in Sri Lanka’s highest score the greatest compared to its highest score in the previous Cup?

• (A) Cup A
• (B) Cup B
• (C) Cup C
• (D) Cup D
• (E) Cups B and D

After the completion of tournament for Cup A, each team is given a rank based on their highest scores. If the highest score of India is the same as the highest score of South Africa playing for Cup C, what is the rank of team India playing for Cup A?

• (A) 1
• (B) 2
• (C) 3
• (D) 4
• (E) None

If the highest scores of all teams in each cup are taken, what is the ratio of total runs scored by Sri Lanka and India in all the cups?

• (A) 218 : 243
• (B) 238 : 249
• (C) 218 : 249
• (D) 1215 : 1159
• (E) 1090 : 1229

If the runs scored by Australia and South Africa for Cup B are of a final match, what is the required run rate of Australia to win the match playing all the stipulated overs?

• (A) 6.1
• (B) 6.15
• (C) 6.22
• (D) 6.34
• (E) 6.44

Question 131:

If both Balu and Paul get equal income, what would be the difference of their expenditures on all except Investments?

• (A) ₹ 1 of income
• (B) ₹ 0.50 of income
• (C) ₹ 0.01 of income
• (D) ₹ 0.05 of income
• (E) ₹ 2 of income

If Paul’s income was ₹13,500, what would be his average expenditure on Investments, Rent, and Travelling?

• (A) 2540
• (B) ₹ 2125
• (C) ₹ 2490
• (D) ₹ 2650
• (E) ₹ 2700

If the salary of Balu is ₹15,000, what would be the expenditure on Investments and Food?

• (A) ₹ 5450
• (B) ₹ 4200
• (C) ₹ 4560
• (D) ₹ 5700
• (E) ₹ 5900

What is the sum of the angles subtended by Paul’s expenditures on Travel, Rent and Medical?

• (A) \(207.2^\circ\)
• (B) \(165.8^\circ\)
• (C) \(157.5^\circ\)
• (D) \(207^\circ\)
• (E) \(187.2^\circ\)

If both Balu and Paul get equal income, what is the ratio of their expenditures on Food and Clothing?

• (A) \(1:1\)
• (B) \(1:2\)
• (C) \(3:1\)
• (D) \(2:3\)
• (E) \(16:11\)

Question 136:

In the year 2003, the number of 4-wheelers in Mumbai is \(x%\) of the number of 4-wheelers in Delhi. What is the value of \(x\)?

• (A) 86
• (B) 88
• (C) 97
• (D) 98
• (E) 78

How many more 4-wheelers did the citizens of Hyderabad have during 2003 compared to the previous year?

• (A) 30,146
• (B) 27,496
• (C) 25,496
• (D) 23,296
• (E) 21,498

In Kolkata, the number of 4 wheelers in the year 2004 is exactly 70% of the number of 4 wheelers in the year 2007. How many 4 wheelers were there in 2007 in the city?

• (A) 2,44,320
• (B) 2,66,200
• (C) 2,12,460
• (D) 2,56,210
• (E) 2,65,114

How many 4 wheelers does the city Chennai have in the year 2003?

• (A) 2,24,808
• (B) 2,23,316
• (C) 2,10,248
• (D) 1,80,456
• (E) 1,74,555

What is the approximate ratio of 4 wheelers in Bangalore in the year 2005 to that in the year 2003?

• (A) 7 : 5
• (B) 9 : 5
• (C) 8 : 5
• (D) 6 : 5
• (E) 7 : 9