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CCC-1501 Section I 1. Answer: A. 252 Solution: In 100 - 199, all 100 numbers contain digit '1'. In all remaining 8 ranges i.e. 200 - 299, 300 - 399, ...., 900 - 999, there are exactly 19 numbers in each i.e. 8*19 = 152 in all. So total 100 + 152 = 252 three digit numbers are there such that at least one of their digits is 1. 2. Answer: D. 5 : 8 Solution: 3(twoots) = 4(tweets) i.e. And 5(tweets) = 6(twits) i.e. . So . 3. Answer: C. 7 Solution: 5! + 6! + 7! = 5!(7 2 ) Now 5! contains prime factors up to 5 only. So largest prime factor of the expression is 7. 4. Answer: B. 20 Solution: Number of coins that could be produced is = 5(10/5)(10/5) = 20. 5. Answer: B. 2014 Solution: (25 1005 )(9 3 )(4 1006 ) = (2 2010 * 5 2010 ) (2 2 * 9 3 ) = 2916*10 2010 = 2916 i.e. a 2014 digit number. 6. Answer: C. 45 Solution: ABD - ACB = BAC = 90 And BEC = EBD - ECB = ½ABD - ½ACB = ½(90) = 45. 7-10: 7. Solution: Average annual percentage increase = (28-8)/8*1/3*100=83.33% 8. Solution: 1999-2000—4/3 times 2000-2001—11/8 times 2001-2002—12/11 times Clearly 11/8 shows the maximum increase. 9. Solution: Average sale of We the Living =(7+10.5+17.5+21)/4=14 So the required difference would be = 14-10.5=3.5 10. Solution: We the living , showed the maximum increase in sales from the year 2000-2001 which is 66.67%
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  • CCC-1501 Section I

    1.

    Answer: A. 252 Solution: In 100 - 199, all 100 numbers contain digit '1'.

    In all remaining 8 ranges i.e. 200 - 299, 300 - 399, ...., 900 - 999, there are exactly 19 numbers in each i.e. 8*19 = 152 in all. So total 100 + 152 = 252 three digit numbers are there such that at least one of their digits is 1.

    2.

    Answer: D. 5 : 8

    Solution: 3(twoots) = 4(tweets) i.e.

    And 5(tweets) = 6(twits) i.e.

    .

    So

    .

    3.

    Answer: C. 7

    Solution: 5! + 6! + 7! = 5!(72)

    Now 5! contains prime factors up to 5 only. So largest prime factor of the expression is 7.

    4.

    Answer: B. 20

    Solution: Number of coins that could be produced is = 5(10/5)(10/5) = 20.

    5.

    Answer: B. 2014

    Solution: (251005)(93)(41006) = (22010 * 52010) (22 * 93) = 2916*102010 = 2916

    i.e. a 2014

    digit number.

    6.

    Answer: C. 45

    Solution: ABD - ACB = BAC = 90

    And BEC = EBD - ECB = ABD - ACB = (90) = 45.

    7-10:

    7.

    Solution: Average annual percentage increase = (28-8)/8*1/3*100=83.33%

    8.

    Solution: 1999-20004/3 times

    2000-200111/8 times

    2001-200212/11 times

    Clearly 11/8 shows the maximum increase.

    9.

    Solution: Average sale of We the Living =(7+10.5+17.5+21)/4=14

    So the required difference would be = 14-10.5=3.5

    10.

    Solution: We the living , showed the maximum increase in sales from the year 2000-2001 which is

    66.67%

  • 11. Answer: D. 80 Solution: Last two digits of a product depends only on the last two digits of all the numbers.

    So we need last two digits of 15*27*52*03 = (5*3)(27)*(2*26)(03) = (5*2)(3*27*26*3) i.e. 80

    12. Answer: D. 18 Solution: WXZ and ABC are similar triangles such that

    i.e.

    So BC = 18.

    13. Answer: C. Loss of 10 rupees Solution: Cost price of first article = C1 = 120/1.2 = 100,

    Cost price of second article = C2 = 120/0.8 = 150. So total cost price of two articles = C1 + C2 = 100 + 150 = 250 rupees,

    While total selling price of the two articles = 120 + 120 = 240 rupees Thus overall there is a Loss of 250 240 = 10 rupees.

    14. Answer: D. 37.5%

    Solution: Lets say there are 100 males in the locality, so as per given situation, 75 of the males are married.

    Now, according to custom of the locality, these 75 males are married to 75 females of the locality only. That means 75 married females constitute 25% of all the females in the locality. Hence total

    number of females in the locality is 75(100/25) = 300.

    So out of total 400 adults (i.e. 100 males + 300 females), exactly 150 (i.e. 75 males + 75 females) are married.

    Hence required percentage is = (150 100)/400 = 37.5%

    15. Answer: D. 0

    Solution: 32 = 25 and 632 = 232 332. Thus 632 is divisible by 32 and required remainder is zero.

    16.

    Answer C. 4

    Solution: ADE is 30-60-90, so AE = 2 AD = 4 and CE = AC AE = 6 4 = 2.

    Also FEC = 180 - 30 - 90 = 60. So FEC is equilateral i.e. FE = 2.

    So AD = FE, also AD || FE because AD DE and FE DE.

    Hence ADFE is a parallelogram and DF = AF = 4.

    17-20:

    17.

    Solution: No of Voters favouring AJP in Opinion Poll 1 = 50%of 15600 =7800

    No of Voters favouring AJP in Opinion Poll 1 = 58.33%of (15600+ 3600)=7/12*19200=11200

  • Clearly 11200 is 43.5% more than 7800.

    18.

    Solution: The vote distribution would be as

    Poll1

    Poll2

    AJP 7800 11200

    BDK 6500 6400

    CGR 1300 1600 Considering that the 6400 people are same who were in fovour of BDK but the 100 people who did

    not favour BDK in opinion poll 2 move in favour of CGR.

    Thus voters shifting from BDK to AJP could also be 0.

    19.

    Solution:

    Poll1 Poll2 Election

    AJP 7800 11200 47500

    BDK 6500 6400 32250

    CGR 1300 1600 7250

    Total votes 87000

    % polling

    87000/144000*100 60.41666667

    20.

    Solution: 47500-32250=15250

    21. Answer: A. 180

    Solution: Let the two positive integers be hx and hy such that HCF(x, y) = 1. So HCF(hx, hy) = h and LCM(hx, hy) = hxy Now, as per given information, we have

    hx + hy = h(x + y) = 27, and h + hxy = h(1 + xy) = 63

    Clearly h has to be a factor of 27 and 63, so h can be 9 or 3 or 1 only. Putting the values of h, we get that only h = 3 satisfies and x, y are 4, 5.

    So the required product is = (34)(35) = 180.

    22.

    Answer: D. 50

    Solution: The difference between score of top 5 scorers and bottom 5 scorers is = 5 10 = 50. As there are total of 9 test takers only, so lowest scorer of top 5 and top scorer of bottom 5 is same

    person. Thus the difference between the score of top four students and bottom four students is same as earlier i.e. 50.

    23. Answer: D. None is prime.

    Solution: an + bn is divisible by a + b if n is ODD. I. 410 + 1 = (42)5 + 1 is divisible by 42 + 1. II. 411 + 1 is divisible by 4 + 1.

    III. 412 + 1 = (44)3 + 1 is divisible by 44 + 1. Thus none is prime.

    24.

  • Answer: A. 13

    Solution: TG0TG = TG 1001 = TG 7 11 13. 7, 11, 13 are consecutive prime numbers, so TG (a two digit number) must be product of two prime

    numbers so that all five prime numbers are consecutive.

    So TG can be 17 5 = 85 OR 5 3 = 15. That is, T + G can be 8 + 5 = 13 OR 1 + 5 = 6.

    25.

    Answer: D. 100% Solution: Let the label price be 100 rupees. So I was to pay 1% i.e. 1 rupee. And now at 98% discount, I am paying 2% i.e. 2 rupees.

    Effectively I am paying (2 - 1)*100/1 = 100% extra.

    26. Solution: The shopkeeper sells the mixture at Rs 35/kg and earns a profit of 25%, so the cost price of the mixture is 35/1.25 = Rs 28/kg.

    Now we have to determine the ratio in which Rs 24/kg sugar must be mixed with Rs 40/kg sugar so that the average price of the mixture is Rs 28/kg.

    Thus, they must be mixed in the ratio of 3:1.

    27-30:

    27:

    Solution:

    Total revenue in 1996 = 95.4 (Rs in crores)

    Total revenue in 2000 = 133.6 (Rs in crores)

    Total growth rate (from 1996-2000) =

    Simple annual growth rate = (40.04)/4 = 10.01 % { As number of intervals is equal to 4}

    28:

    Solution: In this problem we simply have to compare which fraction is highest.

    Year Percentage Change

    1996-1997 {4.6/18.2} * 100

    1997-1998 { 1.8/22.8} * 100

    1998-1999 {8.8/24.6}*100

  • 1999-2000 { 5.2/28.6} * 100

    Just by looking at these fractions we can say first is greater than the second. Now the third is

    approximately equal to 1/3 and the fourth approximately equal to 1/5. Also the first is

    approximately equal to . So definitely 1/3 is the greatest and so the year 1998-1999 experienced

    the maximum percentage change in revenue generated by the health care segment.

    29:

    Solution:The total revenue in 2000 was 133.6 ( in crores of Rupees)

    Revenue from FMCG sector in 2000 was 45.8 ( in crores of rupees)

    Revenue from cooking oil in 2000 was 0.15* 45.8 = 6.87 (in crores)

    Percentage represented by cooking oil in the total revenue in 2000 = 5.14%

    30:

    Solution: Percentage increase in the total revenue from 1999-2000 is equal to approximately 10.8%

    So the total revenue in 2001 = 1.108 * 133.6 = 148 { Approximately}

    Revenue from FMCG segment in 2001 = 1.2 * 45.8 = 55 { App}

    Revenue from perfumes and deodorants in 2001 = 0.24 * 55 = 13.2 crores

    31.

    #18. Answer: D. 11.11% profit Solution: Let cost price of 1000g of goods be 1000 rupees. As per given conditions, the shopkeeper sells 900g of goods for 1000 rupees.

    So his profit percentage = (100/900)*100 = 11.11% profit.

    32. Answer: D. 52 Solution: Last two digits of 2^21 = Last two digits of (2^10)(2^10)(2) = Last two digits of

    (24)(24)(2) = 52.

    33.

    Solution: The amount of curd in first lassi would be 2/5th of 500 = 200 ml.

    The amount of curd in second lassi would be 1/6th of 1500 = 250ml.

    So, total curd in the final lassi would be 450 ml. Rest 1550 ml would be water.

    Thus the required ratio would be 9:31.

    34.

    Solution:

    Buying 50 apples is equivalent to buying 80 bananas.

    Thus buying 50 apples and 20 bananas is equivalent to buying 80+20=100 bananas.

    Four every 4 banans I buy I would get 1 free.

    Hence I would get 25 bananas free with 100 bananas I buy.

    35.

    Solution: The centre of circle is (-4,3). The distance between the centre of the circle and the

    tangent must be equal to the radius of the circle.

    Distance of (-4,3) from 3x + 4y + 10 = 0 is

    So radius of the circle is 2.

    So or

    Or k = 21

    Thus, option (3) is correct.

  • 36. Solution:

    Area of a triangle = abc/4R = 1*base*height 3*4*BC/4R = 1/2*BC*2

    R=3

    37.

    Solution: Let the price of the article be P.

    Thus P(1+x/100) (1-x/100)=3P/4

    x=50 thus x/2=25

    Now P(1+25/100)(1-25/100)=P*5/4*3/4=15/16*P

    38.

    Solution- Let ABC= x and ACB = y

    O is the incenter of ABC, so OBC=

    , similarly D is the incenter of OBC, so DBC=

    .

    Similarly DCB=

    .

    In ABC, x+y+20= 180, so x+y= 1600

    In BDC,

    +

    + BDC = 1800

    After solving and Putting x+y= 160, BDC= 1400

    Answer option (C)

    39. Solution: The line intersects the X and Y axis at A and B. So, the coordinates of A and B are (15,0)

    and (0,8). The coordinates of O are (0,0). Now AOB is right angled triangle. The orthocentre of a right triangle is the point of intersection of the perpendicular sides i.e O. Also the circumcentre is

    the midpoint of hypotenuse of a right triangle. Also the circumcentre is equidistant from the three vertices of a right triangle. Thus, the distance between the orthocentre and the circumcentre is

    equal to half of the hypotenuse i.e. equal to 8.5 units.

    40.

    Solution- L.C.M of N1 and N2 is 275 363 570 but L.C.M of N1, N2 and N3

    is 275 363 571

    So N3 must contain only 571. So total number of solutions= 76 64= 4864. Answer option D.

    41.

    Solution

    So , In triangle DEF, 4x + 4x + 60= 180

    8x= 120

    X= 150

    Answer option (C)

  • 42.

    Solution- All numbers which have exactly 5 factors must be in form of a4 where a is the prime

    number.

    24, 34 and 54 are the only numbers less than 1000 and have 5 factors.

    43.

    Solution- (11)2+ (22)3+ (33)4+ (44)5+ (99)10= (22- 1) + (32- 1) +(42- 1)+ (52-

    1)+..(102-1)

    = (12+22+ 32+ 42+52. +102) 10 =

    44.

    Solution- L B= 2(L+ B), (L-2) (B-2) = 4

    (L-2) (B-2)= 4 1

    2 2

    Two pairs (6,3) and (4,4) are possible

    45.

    Solution- L.C.M of two numbers = 331, H.C.F of two numbers = 31

    As H.C.F is not the factor of L.C.M so these type of two numbers cant exist. Answer option (d)

    46.

    Solution: Initial and final concentrations are 10% and 20% alcohol. Now since , 10% solution is

    mixed with 100% solution to form 20% solution. Their ratio of volumes must be in the ratio (20-10) : (100-20) i.e. 1:8. So, 40ml alcohol must be mixed with 8*40=320ml of solution.

    Thus the volume of the solution must be 40+320=360ml

    47-50 :

    47.

    Solution- Total number of matches in a Tournament= . Answer option C.

    48.

    Solution- Minimum number of matches won by the team who is winner of the tournament= 0+ 2(

    semi finals)+ 1= 3. Answer option B

    49.

    Solution- To find out minimum number of points scored by the team who reached the semi finals,

    Maximize Points of Top three teams.

    Max. Points scored by top three teams are 14, 12 and 10 so total 36 points.

    Total points distributed = 2= 56,

    So total points scored by Bottom 5 teams = 56- 36= 20 which can be divided equally among them.

    So minimum number of points scored by the team who reached the semi finals =4

    Answer option B

    50.

    Solution-To maximize number of points scored by the team who did not reach the semifinals, we

    have to maximize score of top five teams.

  • Let all top five teams won from bottom 3 teams so each team in Top 5 get 6 points and let matches

    among them ends in draw such that each team gets 4 more points. Therefore Each team in Top five

    gets total of 10 points.

    Maximum number of points scored by the team who did not reach the semifinals= 10.

    Answer option (C )

  • CCC-1501 Section II

    1-4:

    1. Solution: 2. The author has not compared the works of Swift and Pope anywhere to show the superiority of one over the other; hence 1 can be ruled out. Nowhere does the author dwell upon the difficulty OR ease of the poems in terms of comprehension; hence 3 is ruled out. It was Pope who had used personification in the treatment of Belinda, not Swift. Refer to the line, Swifts A Modest Proposal, however, is a quintessential Juvenalian satire, shockingly revealing an often-overlooked dimension of British colonialism with regard to the Irish through savage ridicule and

    disdainful contempt. Hence 2. 2.

    Solution: 1. Refer to the opening line of the passage, The 18th century was one in which exaltation of wit and reason came to the forefront of literature. exposed the superficial follies and moral corruption of society during the neoclassical period in Britain. In the passage, the author has tried to show how both Pope and Swift led this movement of exaltation of wit. However, if option 1 is correct, then it would go directly against the authors attempts to prove that what Swift and Pope did was a change from the erstwhile practices; since it can be inferred from the passage that Paradise Lost was an older work.

    3. Solution: 4. The author has not used any humourous incidents in the passage. The author has not been violent in either words or any generic expressions. The author is not telling us a tale either. So options 1,2, and 3 can be safely ruled out. Throughout the passage the author has tried to convince

    the reader as to why and how Pope and Swift have been influential in their era. Hence 4. 4.

    Solution: 4. Option 1 is extremely narrow, since personification has been talked about in the last paragraph only. Option 2 is also erroneous, since it cannot be inferred from the passage whether

    Pope and Swift were the pioneers of satire or not. Milton has been used as a reference point in only one context, thereby making option 3 narrow as well. Option 4 captures the overall idea of the

    passage, as throughout the passage the author has used Pope and Swift and their works to bring out his argument. Hence 4.

    5-8:

    5.

    Solution: 2. Read the first 3 lines of the fourth paragraph to understand that the author here

    means to say that the jobs that one could earlier get with a mere high school degree now demand

    college degree.

    6.

    Solution: 1. D is what is talks about in the fourth paragraph and is pretty much the theme of the

    passage whereas B is something that he wonders in the last paragraph.

    7.

    Solution: 4. The author talks about the moral commitment in the second paragraph, hence 3. He

    talks about inequality in the third paragraph, hence 1. In the same paragraph he talks about the

    indirect financial benefit the rich will reap in terms of less money needed to maintain prisons and

    social security nets, hence 2. The author does not talk about political factors.

    8.

    Solution: 1. Though the author has invoked morals and been somewhat compassionate, his overall

    tone has been primarily analytical and has reasoned out all factors well throughout the passage.

    9-10:

  • 9. Solution: 2. We need the noun practice in A, not the verb practise. Article an is missing before impressive in C. 10.

    Solution: 1. C does not continue the idiomatic expression of experience (experience A as B). The correct sentence would read (might experience her encounteras burdensome and onerous). Momentarily has been misspelt in D. Debate about is redundant. 11-12:

    11. Solution: 1. That in A refers to the description of Greeces beauty in D. Hence DA is a mandatory pair. However, placing D somewhere in the middle would break the continuity as all other sentences talks about Greek food and just D is a digression.

    12. Solution: 4. It in A refers to immunity, not the immune system in C. However, the options make the question unsolvable.

    13-14 : 13.

    Solution: 4. The first part of 1 is true but no comparison has been made between the acceptance of flower-derived medicines and traditional medicines. 2, however true, is not what the thrust of the

    argument is on. 3 is true and mentioned but only as an example to present 4, which is the bigger generalization which the paragraph seems to purport. One cannot generalize the role of a few flowers that have been mentioned in the paragraph to all flowers, but the presence of can in 4 makes the statement viable.

    14. Solution: 2. Notions of atheists is unknown to us and no flaw in either conceptions has been pointed out or can be inferred. The second conception does not attribute the order of the universe

    to God. 2 is the only point that is common in both the conceptions.

    15-18:

    15.

    Soln: 2. The author has, towards the end, repeatedly expressed that the economy is not bad as it

    has been made to look and that the path to correction is not impossible. Sanguine = hopeful.

    16.

    Soln: 3. Refer to the second paragraph.

    17.

    Soln: 3. Option 1 talks about social problems. Option 2 is opposite to the idea expressed. Option 4

    is Prime Minister-centric.

    18.

    Soln: 4. Between 2 and 4, option 4 is more specific to the statements context.

    19-22:

    19.

    Soln: 1.

  • 20.

    Soln: 2. Option 1 is wrong since the immediacy of publication and success cannot be calculated

    from the passage. Option 3 is wrong because the passage says that the novel has been interpreted

    with many perspectives, not that it is any particularly. Option 4 has been stated already. Option 2

    finds a hint in the 3rd last paragraph Orwell was freed from financial worries for the first time in

    his life

    21.

    Soln: 1.

    22.

    Soln: 1. Try to establish the idea similarity from the stem to the representation. The inherent idea is

    hidden in the usage of turning ITSELF into.

    23-24:

    23.

    Solution: 2. B follows C so only options 2 and 4 are left. A is used as a concluding statement while D makes more sense when used as an opening statement. It is a question which is difficult to solve.

    24. Solution: 3. B, which has the complete name of ADHD, is the obvious opener. Three major symptoms mentioned in C find detailed in A, hence A will follow C. 25-26:

    25.

    Solution: 4. A little in C modifies exceptions, a countable noun, which is a grammatical infraction. In D, we need preposition of after because. 26. Solution: 2. A has a modifier error since the initial phrase would modify Leibniz and not hi talent. Desires in B violates tense consistency (it should be desired). That, a singular pronoun, in C refers to conditions, a plural noun. 27 28:

    27. Solution: 4. The author calls ban on the import of the cars absurd because the ban is based on the belief that black colour is unlucky. 28.

    Solution: 3. 3 is the gist of the paragraph. 1 and 3 are either stated or can be derived but that is not the central part of the argument. Success in 4 is beyond what has been stated in the paragraph. 29-32:

    29. Solution: 4 The first three statements talk about the way the experiment was conducted by the researchers and the results of the experiment, while the fourth statement talks about the researchers hypothesis.

    30. Solution: 4. The focus of all other sentences is on Cleopatra whereas 4 talks primarily about milk. 31. Solution: 3. All other options question the health-related aspects of artificial sweeteners whereas 3 talks about peoples loyalty to these artificial sweeteners. This is a tricky one and could be left.

  • 32. Solution: 1. The focus of all other statements is on the series and its contents, whereas 1 focuses on the person who wrote it.

    3334: 33.

    Solution: 2. 2 is the gist of the paragraph and can be inferred from third sentence alone. 1 cannot be derived from the paragraph (ancient does not mean oldest). Immune system , a foreign variable

    itself, deals with resisting diseases whereas paragraph talks about cure. 4 is too farfetched and cannot be an inference here.

    34. Solution: 3. 1 is too general and 2 can be ruled out as it has nowhere been mentioned that alcohol causes sleeplessness. 4 is simply incorrect as no alternate ways of rejuvenation have been recommended. The purpose of the paragraph is to highlight that harmful effect of consuming alcohol before sleeping.

    35 38:

    Solution- From statement (i) -

    Number of Persons to the left of Randeep is same as the number of persons to the right of Pradeep

    Case 1

    Case 2

    Case 3-

    From statement (IV)-

    Pradeep is exactly in-between Navdeep and Gagandeep both of whom are not at extreme ends.

    Case 1 and Case 2 is not valid now

    Lets analyze case 3- Two possibilities are there-

    Possibility 1-

    Possibility 2-

    From statement (ii) and (iii)-

    Sandeep is immediate left of Navdeep. Jagdeep is to the immediate right of Randeep

    Second Possibility is not valid now

    We are left with only first Possibilty

  • Solution 1-

    Solution 1- Four persons are to the left of Randeep. Answer option C

    Solution 2- only one arrangement is possible. Answer option A.

    Solution 3- Navdeep is standing three places away to the left of Randeep. Answer option B.

    Solution 4- From the given options, Sandeep is at the extreme end .Answer option D

    39 42:

    Solution: There are eight delegates sitting around a circular table. So we first draw a circle and

    mark eight equally spaced points on it. From (5) we get the one who made a commitment of 40% is

    sitting opposite to 5%, 35% is sitting opposite to 10%, 15 % is sitting opposite to 30% and 20% is

    sitting opposite to 25%.

    From (1) we get:

    From (4), The delegate from India sat three places to the left of the American delegate who had

    made a commitment of 10% reduction and who didnt sit next to the Chinese delegate. Here we get

    two cases:

    Case1: Case2:

    But as the one sitting opposite to the Chinese delegate must have made a commitment of 15%, so

    case 2 gets eliminated and so we get:

  • From (3) we get the Russian delegate sat three places to the right of the Australian delegate and

    committed a greater percentage reduction in GHG emissions than the Australian delegate. So,

    definitely the Russian delegate couldnt have made a commitment of 15% and so the arrangement

    further becomes:

    From (2) we get the percentage reduction in GHG emissions committed by the German delegate

    was more than that committed by his American counterpart and less than that committed by his

    Japanese counterpart. Thus, the Japanese delegate made a commitment of 35%. And so the final

    arrangement becomes:

  • 1. The Australian delegate made a commitment of 15% reduction in the GHG emissions.

    2. The Russian delegate sat to the left of the Chinese delegate.

    3. None of the statements is true.

    4. If the one who committed a 25% reduction in GHG emissions sat next to the one who made the

    commitment of minimum percentage reduction i.e. 5%, so, the German delegate made a

    commitment of 25% and the Russian delegate made a commitment of 20%. So, the Russian

    delegate is sitting two places to the left of the one who made a commitment of 35%.

    43 46:

    Solution:

    Name of the student

    QA

    LR

    DI

    Verbal

    Lazy Lad 5 or 6 8 or 9 7 or 6 9 or 5

    Dreamer 8 or 6 7 or 9 9 or 5 8 or 6

    Couch Potato 7 or 9 6 or 8 8 or 9 5 or 7

    Grumpy Dude 6 or 8 9 or 6 5 or 7 7 or 6

    Lethargic Hunk 9 or 5 6 or 5 7 or 6 6 or 8

    If we look at the QA marks of Dreamer and Grumpy Dude, then they obtained 6 or 8, so this

    definitely means Lazy Lad got 5 marks in QA and so, Lethargic Hunk obtained 9 marks in QA. This

    further means Couch Potato obtained 7 marks in QA.

    Name of the student

    QA

    LR

    DI

    Verbal

    Lazy Lad 5 8 or 9 7 or 6 9 or 5

    Dreamer 8 or 6 7 or 9 9 or 5 8 or 6

    Couch Potato 7 6 or 8 8 or 9 5 or 7

    Grumpy Dude 6 or 8 9 or 6 5 or 7 7 or 6

    Lethargic Hunk 9 6 or 5 7 or 6 6 or 8

    As each of them got a different score in all the four subjects, this further leads us to:

    Name of the

    student

    QA

    LR

    DI

    Verbal

  • Lazy Lad 5 8 7 or 6 9

    Dreamer 8 or 6 7 9 or 5 8 or 6

    Couch Potato 7 6 8 or 9 5

    Grumpy Dude 6 or 8 9 5 or 7 7 or 6

    Lethargic Hunk 9 5 7 or 6 6 or 8

    If we look at the DI section, Lazy Lad and Lethargic Hunk both got either 7 or 6, so Grumpy Dude

    got 5 marks in DI and so Dreamer got 9 and Couch Potato got 8 in DI.

    Similarly if we look at the Verbal section, then Dreamer and Lethargic Hunk both obtained either 8

    or 6, so definitely Grumpy Dude obtained 7 in marks in Verbal. This can be further represented as:

    Name of the

    student

    QA

    LR

    DI

    Verbal

    Lazy Lad 5 8 7 or 6 9

    Dreamer 8 or 6 7 9 8 or 6

    Couch Potato 7 6 8 5

    Grumpy Dude 6 or 8 9 5 7

    Lethargic Hunk 9 5 7 or 6 6 or 8

    1. Definitely Dreamer obtained the highest score i.e. 30.

    2. Couch Potato obtained the lowest marks i.e. 26

    3. If Dreamer scored more marks than Grumpy Dude in QA, then the distribution becomes:

    Name of the student

    QA

    LR

    DI

    Verbal

    Lazy Lad 5 8 7 or 6 9

    Dreamer 8 7 9 6

    Couch Potato 7 6 8 5

    Grumpy Dude 6 9 5 7

    Lethargic Hunk 9 5 7 or 6 8

    Still we wont be able to determine the total score obtained by Lethargic Hunk.

    4. 4. If Lazy Lad got a total of 28marks, then we would have obtained 7 marks in DI and Lethargic

    Hunk would have obtained 6 marks in DI

    Name of the student

    QA

    LR

    DI

    Verbal

    Lazy Lad 5 8 7 9

    Dreamer 8 7 9 6

    Couch Potato 7 6 8 5

    Grumpy Dude 6 9 5 7

    Lethargic Hunk 9 5 6 8

    So, Grumpy Dude obtained the second lowest total.

    47 50:

    Solution: From (1) we get that both India and Korea won three matches , lost one match each and

    one match resulted in a draw for both these teams.

  • From (4), we get Germany scored 10 points. This means Germany won 2 matches, lost 2 matches

    and one of its matches resulted in a draw.

    Also on the basis of the information given we can draw the table as:

    Teams Australia India Pakistan Germany Korea Malaysia

    Australia x Won Lost

    India Lost x Won Won

    Pakistan Lost x Won

    Germany Won Lost x

    Korea x

    Malaysia Lost x

    A total of 15 matches were played between these six teams and out of which 2 matches resulted in

    a draw. This means 13 other matches resulted in 13 wins and 13 losses for these teams.

    From (3) , Australia, Pakistan and Malaysia lost equal number of matches. Also India and Korea lost

    one match each while Germany lost 2 matches, this means Australia, Pakistan and Malaysia each

    lost three matches.

    Also we see that Pakistan scored the least points and as it has already won one match against

    Malaysia, this implies that one of its match resulted in a draw. So, Pakistan finally won a match, lost

    three matches and one match resulted in a draw. For Australia and Malaysia, they won two matches

    and lost three matches.

    So the two matches that resulted in a draw were played amongst India, Pakistan, Korea and

    Germany.

    As the match between India and Pakistan didnt result in a draw and the match between India and

    Germany also didnt result in a draw, this means the match between India and Korea resulted in a

    draw and so was the match between Pakistan and Germany. Further the information can be filled as

    shown in the table:

    Teams Australia India Pakistan Germany Korea Malaysia

    Australia x Won Won Lost Lost Lost

    India Lost x Won Won Draw Won

    Pakistan Lost Lost x Draw Lost Won

    Germany Won Lost Draw x

    Korea Won Draw Won x

    Malaysia Won Lost Lost x

    1. As it is evident that India won the match against Malaysia, so option (1) is correct.

    2. Australia won two matches and lost three matches, so Australia scored 8 points. So,

    option (3) is correct.

    3. As the outcome of the match played between Germany cannot be figured out, so option

    (4) is correct.

    4. Only option (1) is definitely true.