IPMAT Indore 2023 question paper

1. A.
   3
2. B.
   1, 7, 9
3. C.
   4, 7
4. D.
   1, 3, 7

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1. A.
   $\dfrac{n(n+2)}{2}$
2. B.
   $\dfrac{3}{2}$
3. C.
   $\dfrac{n(n+1)}{2}$
4. D.
   $n$

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1. A.
   $(-\infty, -1)$ U $(-\dfrac{1}{2}, 0)$ U $(1, +\infty)$
2. B.
   $(-1, -\dfrac{1}{2})$ U $(1,+\infty)$
3. C.
   $(-1, 0)$ U $(1,+\infty)$
4. D.
   $(-1, -\dfrac{1}{2})$ U $(0,+\infty)$

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1. A.
   48000
2. B.
   12000
3. C.
   9600
4. D.
   24000

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1. A.
   $4x+3y+19=0, 4x+3y-31=0$
2. B.
   $4x+3y-19=0, 4x+3y+31=0$
3. C.
   $4x+3y-19=0, 4x+3y-31=0$
4. D.
   $4x+3y+19=0, 4x+3y+31=0$

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1. A.
   4
2. B.
   6
3. C.
   1
4. D.
   5

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1. A.
   250 kmph
2. B.
   184 kmph
3. C.
   192 kmph
4. D.
   200 kmph

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1. A.
   $a + b + c + d = 0$
2. B.
   $a=c,$ or $a+b+c+d = 0$
3. C.
   $a=c$
4. D.
   $a=c,$ and $b=d$

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1. A.
   $2$
2. B.
   $4-\sqrt{5}$
3. C.
   $3$
4. D.
   $4+\sqrt{5}$

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1. A.
   2, 2, 2, 2, 2
2. B.
   3, 2, 2, 2, 1
3. C.
   3, 3, 2, 1, 1
4. D.
   4, 4, 1, 1, 0

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1. A.
   17000
2. B.
   15000
3. C.
   1500
4. D.
   170000

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1. A.
   $\dfrac{b_{1}}{a_{1}}, \dfrac{b_{2}}{a_{2}}, \dfrac{b_{3}}{a_{3}}$ are in geometric progression
2. B.
   $b_{1}, b_{2}, b_{3}$ are in geometric progression
3. C.
   $b_{1}, b_{2}, b_{3}$ are in arithmetic progression
4. D.
   $\dfrac{b_{1}}{a_{1}}, \dfrac{b_{2}}{a_{2}}, \dfrac{b_{3}}{a_{3}}$ are in arithmetic progression

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1. A.
   $11:4\sqrt{10}$
2. B.
   $12:11$
3. C.
   $11:12$
4. D.
   $4\sqrt{10}:11$

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1. A.
   $(b-a)^n=(c-b)$
2. B.
   $a^n+b^n=c^n$
3. C.
   $a+b=c$
4. D.
   $(a^n+b)^n=ac$

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1. A.
   7
2. B.
   7!
3. C.
   8
4. D.
   8!

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1. A.
   a pair of straight lines
2. B.
   a circle
3. C.
   an ellipse
4. D.
   a point

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1. A.
   $32$ meters
2. B.
   $\frac{32}{\sqrt{5}}$ meters
3. C.
   $64$ meters
4. D.
   $\frac{64}{\sqrt{5}}$ meters

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1. A.
   $n\pi + \dfrac{\pi}{4}, n$ is an integer
2. B.
   $2n\pi + \dfrac{\pi}{4}, n$ is an integer
3. C.
   $\dfrac{n\pi}{4}, n$ is an integer
4. D.
   $\dfrac{n\pi}{4} + \dfrac{\pi}{4}, n$ is an integer

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1. A.
   144
2. B.
   89
3. C.
   34
4. D.
   55

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1. A.
   $\dfrac{22}{2023}$
2. B.
   $\dfrac{23^2}{{2024}^2}$
3. C.
   $\dfrac{22}{2024}$
4. D.
   $\dfrac{22^2}{{2023}^2}$

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1. A.
   Exactly 20
2. B.
   Between 15 and 25
3. C.
   30 or more
4. D.
   Between 20 and 25

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1. A.
   $\frac{1}{4}$
2. B.
   $\frac{1}{2}$
3. C.
   $\frac{2}{3}$
4. D.
   $\frac{1}{3}$

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1. A.
   5
2. B.
   6
3. C.
   3
4. D.
   7

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1. A.
   $\sqrt{2}$
2. B.
   $2$
3. C.
   $\sqrt{3}$
4. D.
   $1$

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1. A.
   $3-x$
2. B.
   $3$
3. C.
   $x-3$
4. D.
   $2$

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1. A.
   P & R
2. B.
   Q & R
3. C.
   Only P
4. D.
   Only R

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1. A.
   P & Q
2. B.
   Only P
3. C.
   Only Q
4. D.
   Q & R

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1. A.
   Only P
2. B.
   Only Q
3. C.
   P and Q
4. D.
   Q and R

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1. A.
   A, B and C
2. B.
   Only A and E
3. C.
   Only A and B
4. D.
   A, B and E

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1. A.
   Only C and D
2. B.
   B, C and D
3. C.
   Only B and D
4. D.
   A, B, and D

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1. A.
   One’s body and mind should be properly relaxed to ensure good sleep.
2. B.
   Regular exercising and eating healthy food alone ensure fitness.
3. C.
   Irregular sleep patterns can result in health problems.
4. D.
   Insufficient sleep can lead to obesity.

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1. A.
   maintain a set sleep pattern.
2. B.
   snack frequently.
3. C.
   read a good book every night.
4. D.
   raise levels of ghrelin.

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1. A.
   present psychological insights to the reader.
2. B.
   provide medical input to the reader.
3. C.
   expose the reader to disinformation.
4. D.
   advise the reader.

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1. A.
   hunger satiation.
2. B.
   terminal illness.
3. C.
   mental exhaustion.
4. D.
   metabolism loss.

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1. A.
   By helping the body replenish its resources.
2. B.
   By increasing a person’s appetite.
3. C.
   By adding power and strength to the muscles.
4. D.
   By regularising a person’s daily routine.

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1. A.
   stability of leptin and ghrelin in the human body.
2. B.
   dangers of high levels of cholesterol and diabetes.
3. C.
   perils of insomnia and irregular sleep patterns.
4. D.
   ill effects of junk food high in carbs and sugars.

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1. A.
   it offers the benefit of a manufacturing base in addition to a market.
2. B.
   no other country has the same ease of doing business.
3. C.
   it has the world’s second largest population.
4. D.
   American technology companies want to reduce their reliance on China.

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1. A.
   provide stimulation that draws customers away from other sellers.
2. B.
   retain links with their partner sellers while drawing customers to their stores.
3. C.
   subtly alienate customers away from competitors.
4. D.
   offer parallel products packaged more attractively.

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1. A.
   needs physical stores to expand sales to more buyers of premium products.
2. B.
   iPhone was already popular in India.
3. C.
   has realised the strategic importance of the Indian market.
4. D.
   needs new branding and marketing strategies to compete with Samsung.

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1. A.
   bring customers into a network of related products which it offers.
2. B.
   attract customers to buy its phones through innovative means.
3. C.
   attract customers by displaying a wide range of aesthetically designed products.
4. D.
   be the market leader in the world of premium smartphones.

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1. A.
   not have any impact on Apple’s image.
2. B.
   bring in more customers and increase sales.
3. C.
   not materially impact sales of iPhones.
4. D.
   drive healthy competition in the smartphone market.

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1. A.
   Regulatory restrictions were eased in 2023.
2. B.
   iPhone 14 is being manufactured in India.
3. C.
   Currently 5 to 7 percent of all iPhones are manufactured in India.
4. D.
   Manufacturing of iPhones in India commenced in 2017.

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1. A.
   small fry
2. B.
   small fish
3. C.
   tiny shots
4. D.
   tiny fish

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1. A.
   of some importance
2. B.
   of great importance
3. C.
   of less importance
4. D.
   of no importance

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1. A.
   saving grace
2. B.
   saving praise
3. C.
   saving case
4. D.
   saving face

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1. A.
   hearing regarding
2. B.
   in hearing
3. C.
   to hear of
4. D.
   to hear regarding

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1. A.
   off-the-mike
2. B.
   off-the-mark
3. C.
   off-the-cuff
4. D.
   off-the-grid

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1. A.
   ill and ache
2. B.
   ill at ease
3. C.
   ill at heart
4. D.
   ill in heart

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1. A.
   go the extra mile
2. B.
   go to the extra level
3. C.
   go the entire mile
4. D.
   go to the extreme level

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1. A.
   on and paid for the meal
2. B.
   that she had paid for the meal
3. C.
   that she will be paying for the meal
4. D.
   that she pay for the meal

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1. A.
   nothing much has changed, has it?
2. B.
   nothing much has changed, would it?
3. C.
   nothing much is changed, isn't it?
4. D.
   nothing much has changed, hasn't it?

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1. A.
   have definitely accept such an offer
2. B.
   have definitely have accepted such an offer
3. C.
   definitely accepted such an offer
4. D.
   have definitely accepted such an offer

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1. A.
   who you are assigned
2. B.
   whomever you are assigned
3. C.
   whom you are assigned
4. D.
   whoever you are assigned

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1. A.
   affects the story plots
2. B.
   affects the story’s plot
3. C.
   effects the stories’ plot
4. D.
   affect the story’s plot

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1. A.
   The Villa became the backdrop to both the private as well as the court life of the Nawabs
2. B.
   The Nawabs chose to live in Villas because they were easier to construct than palaces
3. C.
   The Nawabs of Lucknow fancied building palaces that resembled British ancestral homes
4. D.
   The Nawabs were attracted to European ideas in architecture because of their ‘foreignness’

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1. A.
   He focused on low-rise dwelling solutions that emphasized the human scale and created a sense of community
2. B.
   Considerations of the Indian climate drove many of his decisions
3. C.
   He is particularly noted for his sensitivity to the needs of the urban poor
4. D.
   His early work combined traditional architectural values with the Modernist use of materials

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1. A.
   The British had decided that poetry about India could reach a larger audience if written in Calcutta
2. B.
   The rulers encouraged the natives to write poetry about India only if their mother tongue was English
3. C.
   English was seen as an elite language and so the British felt that only they could use it for poetry
4. D.
   In fact, poetry writing for the first fifty years was confined to a few families who were residents of Calcutta

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1. A.
   With water becoming increasingly scarce and development of new sources of water extremely costly, international water tensions are expected to rise
2. B.
   It might be a cliche, but given how scarce it is, water is the new oil of the 21st century
3. C.
   The world does not consider water to be the scarce resource it is
4. D.
   Fresh water is increasingly in short supply, with nearly two-thirds of the global population living in water-stressed conditions

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1. A.
   nominal; dinner; meaningfully
2. B.
   global; relationship; pragmatically
3. C.
   conspicuous; dialogue; diligently
4. D.
   ordinal; conversation; imaginatively

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1. A.
   entire; camera; complicated
2. B.
   private; screen; disconcerting
3. C.
   actual; video; uncomfortable
4. D.
   family; microscope; disturbing

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1. A.
   Promoters; social media; incite
2. B.
   Influencers; promotional; safeguard
3. C.
   Advertisers; commercials; capture
4. D.
   Distributors; Facebook; multiply

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1. A.
   prioritise; compromised; include
2. B.
   compromise; prioritised; reassure
3. C.
   delay; assured; empower
4. D.
   debate; assured; confront

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1. A.
   distinguishable; permanent
2. B.
   irreversible; manageable
3. C.
   indistinguishable; reversible
4. D.
   differentiated; visible

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1. A.
   fashionable; confounded
2. B.
   ubiquitous; immortalised
3. C.
   rare; abundant
4. D.
   substantial; dispersed

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1. A.
   They were all soaking wet and their mother told them to ring their clothes first and then put them out to dry.
2. B.
   She had left home for the first time, so her parents made her promise that she would ring them up every day.
3. C.
   To catch the terrorist the security forces formed a ring around the house where he was hiding.
4. D.
   The witch waved her wand, recited a magical verse, pressed the blue stone on her ring and vanished into thin air.

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1. A.
   After many years of knowing one another, they eventually tied the knot.
2. B.
   It was a full moon night and the tied was high, but he went boating and, unfortunately, he drowned.
3. C.
   The bags placed on the carrier were not securely tied, which led to an unfortunate accident.
4. D.
   I have a good chance of a promotion since my firm has recently tied up with a global conglomerate.

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1. A.
   They found that all the flowers placed on their mother's grave had withered within a week.
2. B.
   The pet dog could not come to terms with his master's death and went to grave for him, even refusing to eat for several days.
3. C.
   When the witness was summoned by the lawyer, he made grave allegations against the accused.
4. D.
   The landlord issued a warning to the tenants that non-payment of rent was a grave matter and would lead to a court case.

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1. A.
   Our products have to function in extreme weather conditions, which is why we put them through climatic testing.
2. B.
   The climatic moment of the match was when the captain got caught behind the wicket.
3. C.
   Under certain climatic conditions, hailstorms are formed in the atmosphere, resulting in unexpected accidents.
4. D.
   The passengers in the bus were sweating profusely because of the hot climatic conditions.

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1. A.
   To keep the key safe, she wore it on a cord around her neck.
2. B.
   He purchased a cord of wood from the market.
3. C.
   Teenagers may feel a need to cut the umbilical cord tying them to their homes.
4. D.
   The musician would hear a cord in his head and play each note individually.

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1. A.
   If you need to farther your career, you should avoid all kinds of distractions.
2. B.
   The politician was so flustered by the animosity of the crowd that he refused to answer further questions.
3. C.
   We need to discuss this problem right away and avoid letting it fester any further.
4. D.
   I live farther away from college than all my classmates.

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