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Crack The Iim Indore Ipm Entrance Examination 2nd Edition North Academics (Author) - Solutions

A stick of length 15 cm leans of a sphere of radius 5 cm lying on the floor. A certain length of the stick extends beyond its point of contact with the sphere. What is the extended length if the point of contact is exactly 8 cm above the floor?(a) 4 cm(b) 5 cm(c) 6 cm(d) Cannot be determined
Product of 1st 15 natural numbers will not be a multiple of:(a) 98 (b) 57(c) 224 (d) 459
A square hole of cross-sectional area 4 cm2 is drilled across a cube with its length parallel to a side of the cube. If an edge of the cube measures 5 cm, what is the total surface area of the body so formed?(a) 158 cm2 (b) 190 cm2(c) 166 cm2 (d) 182 cm2
Find the unit digit of the expression 1992n + 1443n, where n is a natural number.(a) 5 (b) 7(c) Either 5 or 7 (d) 3
What is the value of the following expression?(1 + x) (1 + x2) (1 + x4) (1 + x8) (1 – x)(a) 1 + x16 (b) 1 – x16(c) x16 – 1 (d) x8 + 1
A driver’s income consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips?(a) 4/9 (b) 5/9(c) 5/8 (d) 5/4
In a house, there are six 40-watt lamps which are on for 5 hours a day and three 80-watt fans which are on for 10 hours a day. If electricity costs ` 2 per kilowatt hour, what is the monthly electricity bill?(a) ` 216 (b) ` 280(c) ` 315 (d) ` 400
Instead of walking along two adjacent sides of a rectangular field, a boy took a shortcut along the diagonal of the field and saved a distance equal to half of the longer side.The ratio of the shorter side of the rectangle to the longer side is:(a) 1/2 (b) 2/3(c) 1/4 (d) 3/4
For the month of August, 2011, sales volume of which company is closest to the average sales value of August, 2011?(a) Hyundai(b) Tata(c) Mahindra(d) Cannot be determined
Which of the following statements is true for the month of August?(a) Number of companies seen the growth in sales volume > Number of companies seen a decrease in sales volume(b) Number of companies seen the growth in sales volume < Number of companies seen a decrease in sales volume(c) Number of
How many companies have shown a growth in the sales volume in 2011 as compared to 2010?(a) 4(b) 5(c) 6 (d) Cannot be determined
Which car manufacturing company listed above has shown maximum percentage increase in the sales volume in August, 2011 over August, 2010?(a) Toyota (b) Skoda(c) Honda (d) None of these
In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:(a) 5 (b) 7(c) 10 (d) 12
If in State E population of females above poverty line is 19,800 then what is the population of males below poverty line in that state?(a) 5,500 (b) 3,000(c) 2,970 (d) None of these
If the population of males below poverty line in State A is 3,000 and that in State E is 6,000, then what is the ratio of the total population of states A and E?(a) 3:4 (b) 4:5 (c) 21:25 (d) None of these
If the population of males below poverty line in State B is 500 then what is the total population of State B?(a) 14,400 (b) 6,000(c) 8,000 (d) 7,600
If the total population of states C and D together is 18,000, then what is the total number of females below poverty line in these two states?(a) 5,000(b) 5,500(c) 4,800(d) Cannot be determined
The total population of State A is 3,200 thousands, then what is the approximate number of females above poverty line in State A (in thousands)?(a) 1,206 (b) 2,112(c) 1,800 (d) 1,950
Of the following sets, the one that includes all values of x which will satisfy 2x – 3 >7 – x is:(a) x > 4 (b) x < 10/3(c) x = 10/3 (d) x > 10/3
In solving a problem that reduces to a quadratic equation one student makes a mistake only in the constant term of the equation and obtains 8 and 2 for the roots.Another student makes a mistake only in the coefficient of the first degree term and finds –9 and –1 for the roots. The correct
Find the value of 1 1 1 log log log ab bc ca abc abc abc+ + ?(a) 0 (b) 1(c) 2 (d) Infinity
Average age of A, B and C is 82 years, average age of A, B and D is 79 years, average age of A, C and D is 83 years and the average age of D, B and C is 81 years.Who among A, B, C and D is the oldest?(a) A (b) B(c) C (d) D
A right circular cone, a right circular cylinder and a hemisphere, all have same radius. Heights of cone and cylinder equal their diameters. Then their volumes are proportional, respectively, to:(a) 1:3:1 (b) 2:1:3(c) 3:2:1 (d) 1:2:3
Which of the following is closest to 10 10 10 10 8 2 7 3−− ?(a) 1 (b) 10(c) 102 (d) 103
For what value of ‘n’ will the remainder of 451n and 448n be the same when each of the numbers is divided by 9?(a) 2 (b) 3(c) 6 (d) 4
What is the minimum number of squares that can be cut out of a cloth of 16 m × 6 m such that no cloth is wasted?(a) 96 (b) 24(c) 5 (d) 6
Sum of the first n terms (n > 1) of an AP is 153 and the common difference is 2. If the first term is an integer, then the number of possible values of n is:(a) 2 (b) 3(c) 4 (d) 5
Why according to the author, is the environmental cost of gold very high?(a) As gold is the only metal which generates harmful waste on its excavation.(b) As excavation of gold releases the highest amount of pollutants into the air as compared to any other metal.(c) As gold excavation is a very
What is the author’s intention behind writing this passage?(a) To discourage the Indian Government from investing in gold mining.(b) To bring forward the problems associated with gold mining for India’s benefit(c) To discourage Indians from buying gold based on its repercussions(d) To advocate
Which of the following is/are ill effect of gold mining as mentioned in the passage?A. Waste generated while mining for gold is harmful even in small quantities.B. Groundwater gets polluted due to the release of heavy metals generated from the mining of gold.C. Gold mining activities cause
According to the author, how are gold mines detrimental to the environment as well as public health even after their closure?(a) The layer of red soil used to cover dust piles in these mines seeps into the ground water thereby making it unfit for consumption.(b) The mines weaken land mass and
A. Similarly, turning to caste, even though being lower caste is undoubtedly a separate cause of disparity, its impact is all the greater when the lower-caste families also happen to be poor.B. Belonging to a privileged class can help a woman to overcome many barriers that obstruct women from less
A. With Talaash she incorporated a more South Indian element.B. The Indian diva is known for her distinctive blend of Carnatic with Western, Traditional with Pop, Eastmeets-West kind of music.C. Ask her how she’s evolved musically and she’ll point to her forthcoming album.D. Although she began
A. Inching along on six claw-like legs, the insect carts its shelter everywhere, lashing it to a branch when it stops to rest or molt.B. To be able to mate the male needs to stretch his abdomen several times the normal length of his body.C. To lessen the perils of living outdoors, the evergreen
Though relevant to the issue under discussion, one of the following statements is not the most important of the practical problems that the European rulers faced that led to the modification of approach to colonial rule of European powers in the early 20th century in Africa and elsewhere.(a) The
The statement that correctly sums up the author’s views on the factors debilitating implementation of direct rule is:(a) Schools of colonial administration were well established in Europe by the early 20th century.(b) Colonies in Kenya, Belgian Congo and French West Africa had identical
According to the author, the Regional administrative borders through already de-marked African racial groups sought to achieve other than which of the following:(a) To thwart the pace of the civilization mission upheld by direct rule.(b) To pose a threat to Baule and the Fon which comprised
Which of the following is not an expected duty of European appointees?(a) Regional tax collection, labour and military recruitment, public works education, local litigation.(b) Ensuring that the lower level of African staff abided by the dictates of the Colonial Governor.(c) Act as an instrument
Which of the following statements is not probably right?(a) There is clear-cut demarcation between ‘direct’ and ‘indirect rule’ under colonization making them water tight compartments.(b) Definition-wise the tenets of operation of the two form of rule, viz., direct and indirect are at
According to the author, the Regional administrative borders through already de-marked African racial groups sought to achieve other than which of the following:(a) To thwart the pace of the civilization mission upheld by direct rule.(b) To pose a threat to Baule and the Fon which comprised
Which of the following is not an expected duty of European appointees?(a) Regional tax collection, labour and military recruitment, public works education, local litigation.(b) Ensuring that the lower level of African staff abided by the dictates of the Colonial Governor.(c) Act as an instrument
Which of the following statements is not probably right?(a) There is clear-cut demarcation between ‘direct’ and ‘indirect rule’ under colonization making them water tight compartments.(b) Definition-wise the tenets of operation of the two form of rule, viz., direct and indirect are at
It was us who had left before he arrived.(a) we who had left before time he had arrived.(b) us who had went before he arrived.(c) us who had went before had arrived.(d) we who had left before he arrived.
It was us who had left before he arrived.(a) we who had left before time he had arrived.(b) us who had went before he arrived.(c) us who had went before had arrived.(d) we who had left before he arrived.(b) severed the thread on her loom’s shuttle whenever Mencius neglected his lessons to make
His mother made greatsacrificesto educate him, moving house on three occasions, and severing the thread on her loom’s shuttle whenever Mencius neglected his lessons to make him understand the need to persevere.(a) severing the thread on her loom’s shuttle whenever Mencius neglected his lessons
Since the advent of cable television, at the beginning of this decade, the entertainment industry took a giant stride forward in our country.(a) this decade saw the entertainment industry taking(b) this decade, the entertainment industry has taken(c) this decade, the entertainment industry had
Mr. Pillai, the president of the union and who is also a member of the community group, will be in charge of the negotiations.(a) since he is a member of the community group(b) also being a member of the community group(c) a member of the community group(d) in addition, who is a member of the
The MP rose up to say that, in her opinion, she thought the Women’s Reservation Bill should be passed on unanimously(a) rose to say that she thought the Women’s Reservation Bill should be passed (b) rose up to say that, the Women’s Reservation Bill should be passed on (c) rose to say that, in
A severe food crisis currently threatens southern Sudan. In East Africa, where millions of people already are dependent on food aid, a sharp rise in the cost of staple crops looms. These are just the latest sources of concern in a turbulent period that began two years ago when food shortages hit
Russia and the United states have signed a new strategic nuclear-arms reduction treaty. Officially, the treaty cuts their weapons by one-third; in fact, each party will decommission only several dozen.Nevertheless, the treaty is a considerable achievement. It normalizes political relations between
When the next full-scale global financial crisis hits, let it not be said that the International Monetary Fund never took a stab at forestalling it. Recently, the IMF proposed a new global tax on financial institutions loosely in proportion to their size, as well as a tax on banks’ profits and
In 2009, China overtook Germany to become the world’s largest exporter.Exactly half the trade disputes that were filed at the World Trade Organization(WTO) last year involved China. These facts are not unrelated. As Pascal Lamy, the WTO’s chief, pointed out in January, the scope for trade
Make no mistake: the setting matters. There are many ways to listen to classical Indian music-in the private, somewhat sterile perfection of the CDs and DVDs we play at home; in the concert sabhas of Mylapore and T. Nagar; on the music channels on TV or on YouTube, which now carries a little or a
The rate of conviction in SC and ST atrocity cases in the State has reached 22 per cent from 10 per cent last year due to the proper investigations done by the departments concerned and the increased awareness that enabled the aggrieved persons to get justice. The government has been appointing
On 1st March, Philip Morris, a tobacco giant, sued eight American retailers for selling counterfeit versions of its Marlboro cigarettes. Governments are also boosting their efforts to crack down on counterfeiting which deprives them of tax revenue in addition to harming legitimate businesses.
Yes, nobody wants to be Japan, the fallen angel that went from one of the fastest growing economies in the world for more than three decades to one that has slowed to a crawl for the past 18 years. No one wants to live with the trauma of the deflation(falling prices) that Japan has repeatedly
As members of a weird religious cult with ________ rituals and bizarre edicts, rock band Evanescence were always going to struggle crossing over into the musical ________.(a) esoteric–mainframe(b) abstruse–norm(c) strange–edict(d) arcane–mainstream
Even as we are becoming more fully aware of their enormous ________ and ________ value, coral reefs are being lost in the United States, just as they are being destroyed in other parts of the world.(a) marketing–sociological(b) ecological–economic(c) physical–biological(d)
Debase:select the option which is CLOSEST in meaning to the word, given in question.(a) Degrade(b) Inception(c) Strong foundation(d) Strong character
Cajole:select the option which is CLOSEST in meaning to the word, given in question.(a) Coerce (b) Convince(c) Persuade (d) Compel
Baleful:select the option which is CLOSEST in meaning to the word, given in question.(a) Impious (b) Serious(c) Restrain (d) Menace
Abjure:select the option which is CLOSEST in meaning to the word, given in question.(a) Discussion (b) Elope(c) Perjure (d) Renounce
Abandon: select the option which is CLOSEST in meaning to the word, given in question.(a) Recklessness (b) Ignore(c) Caution (d) Refuse
State officials warned raw-milk drinkers in the country that their risk of contracting Salmonella Dublin, a potentially lethal bacterium, was more than 150 times greater than the people who drink pasteurised milk. The official, however, had not stated the actual risk of contracting the bacterium
The DN Academy was born on a train.Last January, when Academy’s accounts director began scouting for trainees, he would end up exhausted and exasperated.After days of backbreaking interviews, he discovered that most of the candidates didn’t know the difference between an accounts manger and the
This is the part of the world where amassing the money seems to be the only standard of success. As a professor of environmental science says, ‘People won’t sacrifice their living standards for the sake of the environment’. The lesson that Asia is yet to learn is that an improved environment
A. Cynics should perhaps beware.B. Many people scoffed when the city announced plans in 1990 to develop what was then just an expanse of marsh land, villages and old factories into its new financial district.C. The ‘build it and they will come’mentality of Shanghai has, after all, paid off
A. These activities are still crimes, but the authorities now turn a blind eye.B. Seven years ago, anyone taking a drive with a member of the opposite sex, or wearing make-up, was punished by jail or a lashing.C. Since 1997, Tehran has become a more humane, even permissive, place.D. The movement
A. A second view was that Dr Kelly may have been at fault for speaking too freely to an untrustworthy journalist, but that the government had exposed him when they should have shielded him.B. When the news came out, many thought so.C. Did government ill-treatment drive David Kelly to suicide?D. The
A. Today’s 15 EU countries make do with 11 national languages among them, or one for every 34 m people.B. Half of central Europe’s national languages are Slavic in origin.C. Each has a different national language(if one accepts Czech and Slovak as separate languages), or roughly one for every 6
A. But that conceals some wide differences.B. Slovenia’s GDP per head rises to more than 70% of the EU average.C. The eight newcomers to the EU have an average GDP per head of about one-quarter of today’s EU average.D. However, measured by purchasingpower parity, which takes prices into account
The passage suggests that the author goes to school:(a) in shabby clothing.(b) in a taxi cab.(c) in warm sweaters and shorts.(d) on a bicycle.
The ‘we’ the author uses throughout the passage refers to:(a) his family.(b) the poor children in his neighbourhood.(c) the children who attend rich schools.(d) the reader and writer.
Which of the following cannot be inferred from the passage?A. The past tense verb of drink should become drinked instead of drank earlier than cost becomes costed in future.B. Many irregular verbs have been‘regularized’ with time.C. English has many features in common with Spanish.(a) A and C
If you were to complete the last paragraph above, which of the following would be the best bet?(a) Languages, all the more, are evolving over time just like the animal species do.(b) This constant linguistic evolution has been the reason for all the confusion about the usage of specific words.(c)
The principal purpose of the passage is to:(a) talk about the usage frequency of common words in four different IndoEuropean languages.(b) make the point that even now, there is uncertainty about the origins of some words in Indo-European languages.(c) inform the reader of the controversy
The author’s tone in the above passage is:(a) narrative(b) analytical(c) scientific(d) non-committal
Which inference/s can be drawn from the above selection?A. The author’s notion of how the soft tissue on the feet of birds have developed is debatable.B. The predators rarely, if at all, attack the toad.C. The water bodies was the original home of the frogs.(a) A only (b) B and C(c) C only (d) A,
The passage can be faulted on the grounds of:A. not exemplifying the ideas presented B. being full of too many details C. having a lot of technical jargon(a) A and C (b) B and C(c) B only (d) C only
The author primarily intends to talk of:(a) the evolution of reptiles and birds in the context of animal evolution in general.(b) how frogs and toads have overcome various barriers to their successful evolution.(c) the importance of the development of feet for frogs and birds.(d) how the organs of
To better understand moral relativism, we need to know about the nature of objective truths. Truths that are deemed independent of our beliefs or perceptions are called objective truths. A typical example is the activity of the moon around the Earth. The moon orbits the Earth regardless of whether
While many people would consider philosophy as irrelevant in today’s highly scientific world, the truth is that it has played a major role in the development of almost every aspect and code of conduct of every institution on the planet. This is why philosophy remains the best tool in arriving at
Mr Acer is no apologist for prejudice, and at times ________ what he sees as a decline in Arab intellectualism and good sense and also rebukes those Arabs who stoke anti-Semitism by ________ the distinction between Jews and Zionists.(a) likes, analyses(b) harshly criticizes, blurring(c) is biased,
China is the most powerful exhibit for those who would like to argue that authoritarian regimes are no ________ to growth but most disastrous growth performances have also been under authoritarian regime and somewhat ________, the postwar era democracies have not done much better than
As international broadcasters turn to popular music and soap operas to retain their audiences, such gripes will grow ________. Having long trumpeted the cause of freedom, the big Western broadcasters must now learn to ________ its consequences.(a) louder, live with (b) often, face(c) loud, tackle
If for real x and y satisfy the following equations; log8 x + log4 y2 = 5; log8 y+ log4 x2 = 7.Find xy.(a) 256 (b) 512(c) 1,024 (d) 128
The surface area of cuboids is 24 cm2. Find the maximum volume of the cuboids.(a) 4 cm3 (b) 6 cm3(c) 10 cm3 (d) 8 cm3
Given that m and n are natural numbers.What is the unit digit of 215nm+ 1?(a) 6(b) 4(c) 5(d) More than one value possible
999999998000000001 = ?(a) 999999999 (b) 99999999(c) 9999999999 (d) 999999991
Which term in the series 3 + 10 + 17 + ........and 63 + 65 + 67 + ........ is common?(a) 9 (b) 13(c) 14 (d) 15
Shyam travels the distance from A to B.He covers 1/3rd of the distance at 60 kmph, 3/5th of the remaining at 40 kmph and the remaining distance at 70 kmph and 30 kmph for equal time. Find the average speed (in kmph) during the course of journey?(a) 72 (b) 74(c) 60 (d) 48
How many numbers between 3,000 and 7,000 (both inclusive) can be formed with the digits 0, 2, 3, 5, 6, 7 and 8 with repeated digits?(a) 1,029 (b) 1,028(c) 1,030 (d) 1,031
If a * b = +ab a b , find 3* (3* –1)(a) –3 (b) –1.5(c) 2/3 (d) 3
When 96 is added to a perfect square, another perfect square is obtained. How many such pairs of perfect squares exist?(a) 0 (b) 1(c) 2 (d) 4
Find the remainder when (3)53! is divided by 80.(a) 0(b) 1(c) 2(d) Cannot be determined.
A, B and C are three points in the same plane. Is Y the midpoint of XZ?Statement 1: ZY and YX have the same length.Statement 2: XZ is the diameter of a circle with centre Y.
How many integers, x, satisfy the inequality n < x < m?Statement 1: m – n = 78 Statement 2: m > 100 and n < 50
If p is an integer, what is the value of p2 –9p + 20?Statement 1: p = 4 Statement 2: p = 4 or 5
x2 + x + 1 is a factor of (x + 1) n – xn – 1, whenever:(a) n is odd(b) n is odd and a multiple of 3(c) n is an even multiple of 3(d) n is odd and not a multiple of 3
Company considers a ‘Performance year’to be any year in which profits were at least 20 per cent of sales. How many of the years shown are ‘Performance years’?(a) Zero (b) One(c) Two (d) Three

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