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

In which of the years from 2004 to 2009 inclusive, did profits change by the greatest percentage over the previous year?(a) 2004 (b) 2005(c) 2007 (d) 2008
For the period from 2003 to 2007 inclusive, what were the average sales per year (` in thousands)?(a) 570 (b) 580(c) 600 (d) 610
For the years 2004 to 2009 inclusive, what was the amount of the greatest increase(` in thousands) in sales from one year to the next?(a) 50 (b) 500(c) 30 (d) 300
Using the digits 1, 2, 3 and 4, how many numbers of at most 4 digits can be formed(repetition allowed)?(a) 340 (b) 256(c) 64 (d) None of these.
Inside a quadrilateral ABCD (right angled at B), a circle is drawn in such a way that all the four sides of the quadrilateral are tangent to the circle. Circle touches side CD at P and side BC at R. Given that PD= 9 cm and RC = 11 cm. If radius of the circle = 5 cm, find the length of BC.(a) 16 (b)
HCF of [(N – 1)! and N] > 1.Consider the statements given below:(i) N is a natural number(ii) N is a composite number(iii) N is a prime number(iv) N is a rational number Choose the best option:(a) Exactly one of the statements is definitely true.(b) At least one of the statements is definitely
Consider the expression y = x2 – 2kx + k2 + 1.For which of the following values of k, y will be always greater than zero for any value of x?(a) k > 0(b) k is any real number(c) k > 2(d) –2 < k < 7
P is a prime number 71.N = (P + 2)(P – 1) (P + 1) (P – 2). Which of the following will definitely divide N for all the values of P?I. 120 II. 240 III. 360 IV. 480(a) I and II only(b) I and III only(c) II and IV only(d) I, II and III only
For all the values of x and y, which of the following will not divide the natural number N = (x36 – y36)?(a) x – y (b) x3 – y3(c) x12 – y12 (d) x24 – y24
Assuming that there is a value of ‘x’such that the sum of the numbers of the houses preceding the house numbered ‘x’is equal to the sum of the numbers of the houses following it. Then what will be the value of ‘x’?(a) 21 (b) 30(c) 35 (d) 42
In green view apartment, the houses of a row are numbered consecutively from 1 to
The smallest perfect square divisible by 7:(a) 44,100 (b) 176,400(c) 705,600 (d) 19,600
Given that the equations below all hold for x, y, z, t and w, determine which of the following options is true:x + y + z + t + w = 1 x + y +2z + 2t + 2w = 1 x + 2y + 3z + 4t + 5w = 2 x + y + 3z +2t + w = 3(a) x must be equal to –2 (minus 2).(b) z must be either 0 or negative.(c) y must be
An old lady is driving on a straight road at a constant speed. She is XYZ miles from her home in Patna at 2 p.m., where x, y and z are digits with x is necessarily a digit from 1 to 9 and y = 0.At 2:18 p.m., she is ZX miles from her home at and 3 p.m. she is XZ miles from her home. At what time
For real number x ≥ 3, let f(x) = log2 (log3x)– log3 (log2x). Which one of the following is true?(a) f(x) > 0 for all x ≥ 3(b) f(x) < 0 for all x ≥ 3(c) f(x) = 0 for all x ≥ 3(d) f(x) = 0 for exactly one vlaue of x ≥ 3
Let x, y and z be the natural number less than 10 such that:(100x + 10y + x)2= (x + y + z)5 What is the value of x2 + y2 + z2?(a) 21 (b) 23(c) 29 (d) 33
Let x and y be positive integers such that x is prime and y is composite. Then,(a) y – x cannot be an even integer(b) xy cannot be an even integer(c) cannot be an even integer(d) None of these.
Leta, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system. If (ab)2 = ccb and ccb > 300 then the value of b is:(a) 1 (b) 0(c) 5 (d) 6
Vertices of a regular hexagon ABCDEF are denoted on the Cartesian coordinate system. Vertex A = (1, 0) and vertex B =(2, 0). Which of the following will be the equation of the straight line CE?(a) x y 3 4 + =(b) y x 3 4 + =(c) x y 3 4 + = 3(d) x y + = 3 4 3
Circular gears A and B start rotating at the same time at constant speeds. Gear A rotates at 10 revolutions/min and gear B at 40 revolutions/min. How many seconds after gears start rolling will B have made exactly 6 more revs than A?(a) 8 (b) 10(c) 12 (d) 15
Real x and y satisfy the following equations:log8x + log4y2 = 5; log8y + log4x2 = 7.Find xy.(a) 256 (b) 512(c) 1,024 (d) 128
Six machines working at the same constant rate complete a job in 12 days. How many additional machines working at same rate will be needed to complete the job in 8 days?(a) 2 (b) 3(c) 4 (d) 9
There are two swimmers who start towards each other from opposite banks of lake of still water. First time they meet at a point 900 m from one shore. They cross each other, touch the opposite bank and return.They meet each other again, this time, 300 m from the other shore. What is the width of the
If consecutive natural numbers are written and each perfect square is deleted, then what will be the 2009th natural number?(a) 2,052 (b) 2,053(c) 2,054 (d) 2,055
x2 – bx + b = 0 has two roots r1 and r2. What is the value of b such that the roots differ by less than 5?(a) b < 29 (b) b > 29(c) b < +2 29 (d) b = 0
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10, respectively. Due to a dramatic increase in the surrounding temperature, the composition of the compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the changed
x, y and z are consecutive positive integers such that x < y < z; which of the following must be true?I. xyz is divisible by 6 II. (z – x) (y – x + 1) = 4 III. xyz is divisible by 12(a) I and II only (b) I only(c) II only (d) All three
Find the area of the enclosed area made by the lines/curves:|x + y| = 2, | x | = 2 and |y| = 2(a) 6 (b) 9(c) 12 (d) 24
What is the number of squares of perimeter 36 can be formed from a rectangle with width 36 and length 72?(a) 2 (b) 4(c) 8 (d) 32
For each of n people, Margie bought a hamburger and a soda at a restaurant. For each of n people, Paul bought 3 hamburgers and a soda at the same restaurant. If Margie spent a total of $5.40 and Paul spent a total of $12.60, how much did Paul spend just for hamburger? (Assume that all hamburgers
A company paid ` 5,00,000 in merit raises to employees whose performances were rated A, B or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C; each employee rated B received 1.5 times the amount of the raise that was paid to each employee rated
In a solid cylinder, sum of the height and radius of the base is equal to 37 cm. Total surface area of cylinder is 1,628 cm2. What is the volume of the cylinder (in cubic cm)?(a) 4,640 (b) 4,620(c) 6,420 (d) 6,460
If a rectangular picture that measures 4 feet from side to side is hung exactly in the middle of a rectangular wall that measures 13 feet from side to side, then the left edge of the picture is how many feet from the left edge of the wall?(a) 2.0 (b) 3.0(c) 4.5 (d) 6.5
In which of the year from 2004 to 2009 inclusive, did profits change by the greatest percentage over the previous year?(a) 2004 (b) 2005(c) 2007 (d) 2008
Company wants to calculate its average profit percentage for the given years. For this to calculate, company first calculates average sales value for the given years, and then average profit value for the given years.Finally average percentage profit is calculated using this data. What is the value
Which year’s profit percentage is maximum?(a) 2003 (b) 2004(c) 2005 (d) None of these.
What is the difference between the number of couples with one PG and another 10th and one grad and another 12th?(a) 6 (b) 5(c) 7 (d) None of these.
How many of the above married couples is one of them more educated than the other?(a) 400 (b) 427(c) 463 (d) 448
In how many married couples have exactly one of the pair finished his/her education at least till graduation?(a) 72 (b) 110(c) 312 (d) 156
A, B and C purchase a gift worth ` 120.A pays half of what B and C together has paid.B pays 1/3rd of what A and C together has paid. What is the sum paid by C?(a) ` 30 (b) ` 40(c) ` 60 (d) ` 50
In a certain shipment 2 per cent of the boxes shipped were damaged. If the loss per damaged box was ` 35 and the total loss due to damage was ` 700, how many boxes were shipped?(a) 2,000 (b) 1,000(c) 200 (d) 100
If p is a prime number greater than 11, and p is the sum of the two prime numbers x and y, then x could be which of the following?(a) 2 (b) 5(c) 7 (d) 9
Reason:(a) Your stand is beyond all reason.(b) Has she given you any reason for her resignation?(c) There is little reason in your pompous advice.(d) How do you deal with a friend who doesn’t listen to a reason?
Help:(a) This syrup will help your cold.(b) I can’t help the colour of my skin.(c) Ranjit may help himself with the beer in the fridge.(d) Do you really expect me to help you out with cash?
Cite:(a) The most commonly cited reason for retention problems was a perceived lack of career progression.(b) In our terms, some of the old testament passages cited are clearly taken out of context.(c) Cited as a major factor that contributes to global warming(d) All are correct
How do you do it? Your colleagues, neighbours, family and friends, how do they all do it? “I follow my nose,” says Dan Rhodes, author of Gold, “I am always on the hunt for the next book that’s going to rock my world … my favorite thing is still going into a shop and coming out with
The Indian legal system is weighted down with the demands made on it. Not only do the courts have to deal with the daily law-and-order problems, but they also have to resolve disputes related to matters of religious faith, probity of politician and bureaucrats and political questions like the
After buying a few thousand books and a building, Booth spread the word that Hayon-Wye would be the used-book capital of Britain. Over the years, he has acquired eight properties to turn into bookstores, which he filled with purchases made on expeditions to Britain and to the continent and North
A. Cases can be heard up to three times before final sentencing.B. Perhaps oddly, the bill does little to tackle the biggest defect in Italian justice: its slowness.C. Might the hope be to make them more susceptible to government control?D. Likewise, the bill proposes a more hierarchical structure
A. “Never been to school,” he explained.B. There are few jobs in Liberia, and the ex-fighters are among the least employable people anywhere.C. This muscular 15-year-old can wield an AK-47 with considerable expertise, but he cannot read, write, or even spell his own name.D. Even if the gunmen
A. This may seem unlikely as southern Sudan is the scene of Africa’s longestburning civil war.B. If Jerome K Jerome were alive today, he would be proud.C. Over a century after he wrote it, There Men in a Boat, his quintessentially English comic novel about accidentprone Victorian gentlemen
A. This would let the Kurds keep a wide measure of autonomy in the three provinces north of Kirkuk, but not Kirkuk itself, pending a new Iraqi constitution due to come into force next year.B. He favours a return to the status quo that prevailed before the American invasion.C. The Kurds suspect Mr
A. Gilad was to pocket $ 3 m if the project got off the ground.B. More controversially, Mr Appel hired Mr Sharon’s farmer son, Gilad, who had no experience in tourism, at a huge salary, ostensibly to help with the project.C. The main charge concerns a tourism project that Mr Appel tried to launch
From the given choices, choose the best synonym for the word Mollify.(a) Mitigate (b) Engender(c) Mollify (d) Satiate
From the given choices, choose the best antonym for the word Restive.(a) Patient (b) Rigorous(c) Active (d) Cautious
Trying not to alienate either side in the debate, the commission focused on the condemned buildings less than they did on the proposed new parkland.(a) commission focused on the condemned buildings less than they did on(b) commission’s focus was less on the condemned buildings than it was on (c)
The circle of oak trees in my grandmother’s back yard remind me of fairy tales and thoughts of olden times.(a) remind me of fairy tales and thoughts of olden times.(b) remind me of fairy tales, and olden times are thought of.(c) reminds me of fairy tales, which caused a thought about olden
My dad longs for a Landcruiser, but this is not true for me, because I’ve always wanted a Pazero.(a) because I’ve always(b) But I have always(c) As opposed to me, who has always(d) I have always
Primarily, the author wants to:(a) Present a case for putting a stop to all research work trying to link behaviour with genes.(b) Present some findings and the potential problem areas in an upcoming field of research.(c) Decry the findings of same new research by presenting counter evidence.(d)
The study of gene-based behaviour is rooted in controversy because:(a) There is no agreement on the research methods.(b) Of multiplicity of explanations available to answer relevant questions.(c) The findings have the potential of being misused to justify anti-social or intolerant behaviour.(d) It
A suitable title for the above passage can be:(a) Behaviour: Is It All In Genes?(b) Games: The Real Culprits(c) It’s In My Genes(d) Behaviour: The Ever-Present Dilemma
If we come across 100 cases of persons seeking thrill-based experience, it can be concluded that:(a) All of them are due to a hyperactive dopamine level.(b) A significant number among them are biochemically dependent on dopamine.(c) Some of them may be so because of the dopamine levels in their
I recently returned from a trip. Today is Tuesday. I returned three days before the day after the day before tomorrow. On which day did I return?(a) Monday (b) Tuesday(c) Sunday (d) Friday
Fortitude : Resolution ::(a) Timidity : Cowardice(b) Heroics : Stoicism(c) Medal : Bravery(d) Poem : Poet
Penitent : Obdurate ::(a) Pensive : Thoughtless(b) Vacuous : Empty(c) Cumulative : Aggressive(d) Happy : Ecstatic
Water : Flood ::(a) Rain : River (b) Wind : Sleet(c) Snow : Blizzar (d) Ice : Floe
Convict : Imprisonment ::(a) Student : School(b) Exile : Banishment(c) Delinquent : Orphanage(d) Prisoner : Court
Aviary : Birds ::(a) Zoo : Tigers(b) Bank : Money(c) Post-office : Letters(d) Arboretum : Plants
Since the encryption keys rely on familiar groupings—passport number, driving license number, social-security number as well as place and date of birth—they tend to be ________ sequences with a fair degree of ________.(a) familiar, familiarity(b) common, uniqueness(c) structured,
________, the scope and depth of the exhibition is such that a visitor doesn’t feel ________ by the inevitable gift shop and with a populist bent, it wisely highlights not only the beauty and intelligence of the New Kingdom-era Egyptians, but also its considerable weirdness.(a) Happily, oppressed
I. There was a global building up (A)/build up (B) of arms and ammunition in the Cold War days.II. The global (A)/globalizing (B)economy of India cannot afford to be left behind in the current race for economic integration worldwide.III. It was a calculative (A)/calculated(B) move to undermine his
I. The delectable delicacies at the fundraising dinner were a gourmand’s (A)/gourmet’s (B) delight.II. The discriminatory (A)/discriminating (B) attitude of the white rulers alienated the populace and led to their huge unpopularity.III. The area was depopulated (A)/unpopulated (B), so as to
Most antidepressant drugs cause weight gain. While dieting can help reduce the amount of weight gained as one takes such antidepressants, some weight gain is unlikely to be preventable. The information above most strongly supports which one of the following?(a) A physician should not prescribe any
Chandra: Hailey’s Comet, now in a part of its orbit relatively far from the Sun, recently flared brightly enough to be seen by telescope on earth. This has never happened before, so such a flare must be highly unusual.Surya: Nonsense. Usually no one bothers to observe comets when they are so far
Prediction, the hallmark of natural sciences, appears to have been possible by reducing phenomena to mathematical expressions.Some social scientists also want the power to predict accurately and assume they ought to perform the same reduction. But this would be a mistake, it would neglect data that
“The correlation between technological intensity and diversification may be spurious, as both may be related to selling to the government or to other dominant customers”. In the above sentence, spurious may refer to all of the following but:(a) counterfeit (b) questionable(c) contrived (d)
Which of the following choices will be most opposite to the word ‘Juvenile’ as used in the sentence below?Juvenile delinquents and depressive or suicidal psychiatric patients show orphanhood rates similar to those of the eminent public figures.(a) Puerile (b) Naïve (c) Jejune (d) Tyke
Which of the following choices most accurately captures the meaning of the word‘Crucible’ as used in the sentence below?General Charles Krulak, the Commandant, introduced “The Crucible” to Marine training—an incredibly grueling fifty-four straight hours of live fire exercises, long
The statement that the author of the passage would support the most is:(a) The development of society, if left to individuals, would be impossible as each individual would exploit opportunities for plundering and exploiting one’s fellow citizens.(b) The development of society is best done by
From the passage, it may be inferred that the author is a supporter of:(a) the ideals of socialism and does not care much about the means required to achieve them.(b) ends as portrayed by supporters of socialism but is skeptical of the efficacy of the means advocated to reach those ends.(c) the
According to the author, those who agree to the aims of socialism would:(a) refuse to support socialism because of possible consequences of the methods advocated to achieve those ends.(b) agree on the collectivization and centralization of economic activities since both require strong and powerful
Neha crosses a toll bridge twice everyday—one for coming to her office and then in the evening going back to her home. A person is required to pay the toll tax everytime he/she crosses the bridge. There are two schemes for the toll tax: Scheme A : ` 13/month + ` 0.2/time, Scheme B: ` 0.75/time.
If –2 ≤ x ≤ 2 and 3 ≤ y ≤ 8, which of the following represents the range of all possible values of y – x?(a) 5 ≤ y – x ≤ 6 (b) 1 ≤ y – x ≤ 5(c) 1 ≤ y – x ≤ 6 (d) 1 ≤ y – x ≤ 10
Out of 20 surveyed students 8 study Maths and 7 study both Maths and Chemistry.If 10 students do not study either of these subjects, how many students study Chemistry but not Maths?(a) 1 (b) 2(c) 4 (d) 5
My name is AMEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?(a) 5% (b) 10%(c) 15% (d) 20%
A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?(a) 1/4 (b) 1/3(c) 1/2 (d) 2/3
What is the average of number of marbles with all of them?(a) 73.2 (b) 72.4(c) 71.3 (d) 70.5
How many marbles are there with Qadir?(a) 70 (b) 72(c) 74 (d) None of these
There are two cups, one containing orange juice and one containing an equal amount of lemonade. One teaspoon of the orange juice is taken and mixed with the lemonade.Then a teaspoon of this mixture is mixed back into the orange juice. Is there more lemonade in the orange juice or more orange juice
In the Sunday bazzar, Jamuna sells her lemons at ` 0.50 for two. Her neighbour Seema has a little smaller lemons; she sells hers at ` 0.50 for three. After a while, when both the ladies have the same number of lemons left, Seema is called away. She asks her neighbour to take care of her goods. To
In this question insert the missing number at (?).8 4 9 5 5 7 3 4 3 4 5 8 39 44 60 ?(a) 62 (b) 72(c) 60 (d) 70
Each child in a family has at least 4 brothers and 3 sisters. What is the smallest number of children the family might have?(a) 7 (b) 8(c) 9 (d) 10
A band passes around all the wheels so that they can be turned by the driving wheel. When the driving wheel turns in the direction as shown in Fig. 5, which way will the wheel B turn?(a) Clockwise (b) Cannot move (c) Anticlockwise (d) Either way
6, 15, 33, 69, ________, 285(a) 137 (b) 141(c) 143 (d) 147
3, 7, 13, 21, 31, ________(a) 43 (b) 34(c) 56 (d) 45
Which sector has seen the largest absolute increase in spending in 2014 over 2013?(a) House rent (b) Food(c) Education (d) Entertainment
What is the percentage growth in the spending on Education in 2014 over 2013?(a) 54% (b) 60%(c) 64% (d) 68%
Which sector has seen the largest percentage increase in its spending in 2014 over 2013?(a) House rent (b) Food(c) Education (d) Entertainment
For how many sectors, spending in 2014 is less than the spending in 2013?(a) 1 (b) 2(c) 3 (d) 0
A dishonest shopkeeper claims that he sells his goods at his cost price only. But he sells only x grams at the place of 1000 grams and gains a profit of 40%. What is the approximate value of x?(a) 600 grams (b) 640 grams(c) 750 grams (d) 714 grams

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