99 series

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DIRECTIONS:

Mark (1), if only statement I is sufficient to answer the question.

Mark (2), if only statement II is sufficient to answer the question.

Mark (3), if both the statements together are sufficient to answer the question.

Mark (4), if data is insufficient to answer the question.

1. Product of three distinct integers is 48. Find their sum.I. Their sum is a prime numberII. None of the these numbers is a prime number.

DIRECTIONS:





2. If A and B are positive integers such that A = 8B + 12, then what is the GCD of A andB?

I. A = 12C, where C is an integer.II. B = 12D, where D is an integer.

DIRECTIONS:


Mark (2), if only statement II is sufficient to answer the question.Mark (3), if both the statements together are sufficient to answer the question.


3. What date is it today?I. Three days, earlier to yesterday was Friday, the 28th.I. This month, the 24th is a Monday.

DIRECTIONS:





4. Is A2 B > B2 A ?I. A3 = 8II. B2 = 16

DIRECTIONS:



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5. What is the probability that either Ram or Mohan wins the race? Given that the dead heatis not possible.I. Probability of Ram winning the race is 1/3 and probability of Mohan winning the

race is 1/5.II. There are only three players in the race.

DIRECTIONS:

Mark (1), if the question can be answered by using one of the statements alone, but

cannot be answered using the other statement alone.

Mark (2), if the question can be answered by using either statement alone.

Mark (3), if the question can be answered using both statements together.

Mark (4), if the question cannot be answered using both statements together.

6. Product of two distinct integers is 31. Find their sum.I. One of them is greater than smallest even natural number.II. None of the these numbers is a prime number.

DIRECTIONS:

Mark (1) : if the question can be answered by using one of the statements alone, but


Mark (2) : if the question can be answered by using either statement alone.Mark (3) : if the question can be answered using both statements together.

Mark (4): if the question cannot be answered using both statements together.

7. Nawab Saheb sold a pair of Horses, one at a profit of 20% and the other at a loss of 10%.Find the overall profit/loss percentage.

I. Nawab Saheb bought both the Horses at the same price.II. Nawab Saheb sold both the Horses at the same price.

DIRECTIONS:



Mark (2) : if the question can be answered by using either statement alone.

Mark (3) : if the question can be answered using both statements together.


8. Find the value of A.I. (A + A + A)2 = ((A + A)2)2II. 3A2 + 4 = (2A 2)2

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DIRECTIONS:




Mark (3) : if the question can be answered using both statements together.Mark (4): if the question cannot be answered using both statements together.

9. Nawab Saheb sells a cocktail at a discount of 10% on the market price. Is he selling it at aprofit?

I. The market price of the cocktail is Rs.150 per litre.II. If he dilutes the cocktail by 10% and sells it at the market price, then his gain is25%.

DIRECTIONS:






10.At what price did Nawab Saheb purchase 100 shares, if the dividend given was 20%?I. The total dividend Nawab Saheb got was 25% of his investments.II. Nawab Saheb had purchased shares at (4/5)rd of the face value.

DIRECTIONS:






11.Nawab Saheb has a certain number of flowers with him which are red, blue and green incolour. The cost of a red flower (R) + the cost of a blue flower (B) + the cost of a greenflower (G) is Rs.12. The total cost of flowers with him is Rs.23 and he has at least oneflower of each colour. How many flowers does he have in all. R, B, G N.

I. R + B G = 2.II. He has exactly 3 red flowers.

DIRECTIONS: Answer each question using the following instructions:






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12.Is AB < 6?I. A < 3 and B < 3II. (1/2) < A < (2/3) and B2 < 64







13.Two containers A and B have certain quantity of water in multiple of 100 ml. 40% ofwater from container A is transferred to container B, then (1/3)rd of the water from

container B is transferred to container A. After this process the quantity of water in boththe containers is same and both transfer are in multiple of 100 ml. Find the quantity ofwater in container A?

I. Container A and B contain more than 1 litre but less than 1.6 litres of watercombined together.II. In the beginning container A has less water than container B.


Mark (1), if the question can be answered by using one of the statements alone, butcannot be answered using the other statement alone.




14.If AB > 0, then find the value of (A 1)(B 1).I. A + B = ABII. A = B







15.Which of the diagonal(s) of the cyclic quadrilateral PDRS is the largest?I. P > R

I. PS > PQ + QR.

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Mark (3), if the question can be answered using both statements together.Mark (4), if the question cannot be answered using both statements together.

16.Find the area of the triangle.I. The measures of the sides of the triangle are in arithmetic progression.II. The ratio of the sides is 2 : 3 : 4.







17.A rectangular paper when folded into 2 equal halves becomes a square. What are the sidesof the rectangle? (Note: Sides are integers.)

I. The sum of the area of rectangle and the square lies between 80 square cm and 140square cm.II. The area of the rectangle is twice as much as the area of the square.







18.What is the value of x?I. (x!)! + x = 2xII. x48 = x84







19.The interior angles of a convex polygon are in arithmetic progression. Find the number ofsides of the polygon.

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I. The smallest angle is 100 and the common difference is 10.II. 0 < any angle < 180.


Mark (1), if the question can be answered by using one of the statements alone, butcannot be answered using the other statement alone.




20.If ax + by + cz = 75, a > b > c, b = 11 (a, b, c, x, y, z N), then what is the value of a + b+ c?

I. x > y > zII. ac = 120

21.The value of

+

, where x= 3 +8 and y = 3 - 8, is

(A) 8 (B)6 (C)4 (D)28

22.If "aabb" is perfect square then what would be the value of "a+b"(A) 11 (B) 10 (C) 14 (D) 9

23.The sum of the current ages of two sisters is twice the age of the older of the two, twoyears ago. The current age of only the sisters is a prime number. If the age of only one ofthem is a single digit number, then how old is the elder sister?(A) 10 years (B) 11 years (C) 12 years (D) 13 years

24.Directions: Question consists of a set of numbered statements. Assume that each one ofthese statements is individually true. Each of the four choices consists of a subset of thesestatements. Choose the subset as your answer where the statements therein are logicallyconsistent among themselves:

A. If Mohan sings, then the King sleeps.

B. If Mohan sings, then the King dances.C. Unless King does not dance, the concert will be successful.D. Only if the King dances, the concert will be successful.E. If Sita dances, then Mohan sings.F. Mohan sings only if Sita dances.G. Sita dancesH. The concert is successful.

(A) C, F, G, B and H (B) A, C, F, G and H

(C) E, C, G, B and H (D) Both (B) and (C)

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25.A lock has 4 rings, each containing 26 alphabets from A to Z. What is the probability thatthe code of lock is PQRS(A) 1/26 (B) 3/26 (C) (1/26)4 (D) 1/3

26.In how many ways can the letters of the word INDEPENDENCE be arranged?(A) 11! / 4!x3! (B) 12! / 4!x3!

(C) 11! / 4! (D) None of these

27.A man driving at 54 km/hr takes 100 seconds to overtake a bicycle rider riding in thesame direction. At half his speed, he will take 120 seconds more to overtake the rider.Find the speed of the bicycle rider.(A) 1.25 m/s (B) 5 m/s (C) 12 m/s (D) 15 m/s

28.Three positive numbers are in continued proportion. If for the first and the last numbersthe sum is 10 and the sum of the cubes is 520, then find the middle number.(A) 3 (B) 4 (C) 8 (D) 2

29.If a trader sold two goods at same price, but one at 20% profit and another at 20% loss.Find total loss or profit percent in the transaction(A) 3.7 % loss (B) 3.7 % profit (C) 4% profit (D) 4% loss

30.Which one of the following fractions is the smallest?(A)

(B)

(C)

(D)

31.Mr. X invests Rs.10000, at compound interest, which doubles in five years. If he wishesto get 8 times the money invested, for how many years should he invest the money?(A) 15 years (B) 40 years (C) 25 years (D) 20 years

32.If it takes 4 hours for 6 printing presses to print 5000 newspapers, then how long should ittake for 3 presses to print 3000 newspapers?(A) 3 hours 08 minutes (B) 4 hours 08 minutes(C) 4 hours 48 minutes (D) 5 hours 48 minutes

33.If 3x + 3x+1 + 3x+2 = 13, then x is equal to:(A) 0 (B) 1 (C) 1 (D) 2

34.Four students tried to find the sum of the first 21 natural primes, and only one student wascorrect. Tom got 709, Jerry got 711, Donald got 712, and Duck got 713. Which studentwas correct?(A) Tom (B) Jerry (C) Donald (D) Duck

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35.In a restaurant, the price of 9 mangoes, 8 bananas and 6 lemons is Rs. 420 and the price of5 mangoes, 4 bananas and 2 lemons is Rs. 262. Deduce the price of 8 mangoes, 8 bananasand 8 lemons.(A) 316 (B) 158 (C) 200 (D) 400

36.Ram had three types of animals with him, when asked about numbers he replied, Theyare all snacks but six, all pigs but six, and all dog but six. How many animals did hehave?(A) 18 (B) 9 (C) 27 (D) None of the above

37.24th March 1948 was on ?(A) Sunday (B) Monday (C) Wednesday (D) Friday

38.A sphere of radius 8 cm is to be divided into eight equal parts by cutting it along a singlediameter. Find the surface area of each of the final pieces.(A)24 cm2 (B) 96 cm2 (C) 64 cm2 (D) 48 cm2

39.During the Euro Cup, four teams A, B, C and D had reached the semi-finals. The semi-finals were arranged in such a way that the strongest team played against the weakestteam and the other two played against each other. The final was between the teams, whichwere not closest to each other according to their strength. No weak team could beat astronger team consecutively in 2 matches. If C won the final then C must be:(A) the strongest team (B) the second strongest team

(C) either (A) or (B) (D) cannot be determined

40.Out of 141 equal weights, one is faulty. How many minimum weighings will be requiredto find the faulty weight using a two-pan balance?(A) 4 (B) 5 (C) 6 (D) 7

41.In a certain coding language, the code for INDIAN is 566556; the code for TASK is6566 and for YANGUN code is '656656. What is the code for PAKISTAN?(A) 56656656 (B) 65656656(C) 56565565 (D) Can't be determined

42.Find the number of ternary sequences of length 4 where 1 is not followed by 0 and 2 isnot followed by 1. (Ternary sequence of length n is a sequence having n terms and eachterm is either 0, 1 or 2).(A) 47 (B) 37 (C) 72 (D) 54

43.What would be angle (in degree) between hour hand and minute hands at 4:30?(A) 55 (B) 45 (C) 60 (D) 30

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Directions for next two questions: Answer the questions on the basis of the informationgiven below.During a political rally, seven leaders of a party Amit, Birbal, Chandan, Danish, Farukh,Ghosh and Pranab are sitting on seven chairs arranged in a row, not necessarily in the same

order. It is also known that:(i) Birbal is sitting beside Farukh.(ii) Pranab is the party president and so he is sitting in the middle of the row.(iii) Either Amit or Danish, but not both, is sitting at one of the ends of the row.(iv) Chandan and Ghosh are sitting as far as possible from each other, without violating otherconditions.

44.If n represents the number of leaders sitting between Amit and Chandan, which of thefollowing is not a possible value of n?(A) 0 (B) 2 (C) 3 (D) 5

45.Which two leaders, among the given pairs, cannot sit adjacent to each other?(A) Ghosh and Danish (B) Chandan and Birbal(C) Danish and Farukh (D) Amit and Ghosh

Directions for next two questions: Refer to the following data and answer the questions thatfollow:A numerical machine accepts two values A and B. Then it updates these values as A= ABand B = B + 1 in every step. The machine stops at A N.

46.For A = 3, B = 2 and N = 100, how many steps are performed before the machine stops?(A) 2 (B) 3 (C) 4 (D) 5

47.In the above question (9), what is the final value of A?(A) 6 (B) 20 (C) 72 (D) 360

Directions for next two questions: There are 3 persons X, Y, Z having some apples each. Process 1 : X gives Y and Z as many apples as they already have. Process 2 :After some days Y gives X and Z as many apples as they have. Process 3 :After some days Z gives X and Y as many apples as they have.

Finally each has 24 apples.(Based on Previous Year CAT Question)

48.What is the original No. of apples each had in the beginning?(A) X-29, Y-21, Z-12 (B) X-39, Y-21, Z-12(C) X-21, Y-12, Z-29 (D) X-21, Y-12, Z-39

49.How may apples does X have after 2nd process(A) 12 (B) 6 (C) 24 (D) 39

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50.How many Sundays are there in particular month of a particular year if the month startswith Wednesday and ends on Wednesday?(A) 4 (B) 5 (C) 3 (D) Cannot be specified

Direction: Information for Question next three questions :Mohan is Rakeshs paternal uncle. Ritu is Rakeshs daughter. Madhav is Ritus youngerbrother. Mukesh is Ritus husband. John is Sunitas son. Tinu is Madhavs sister. Kulwant isRakeshs father. Pushpa is Kulwants sister. Kaushalaya is Mohans wife. Gagan is Mohansson. Sunita is Kulwants daughter.

51.How is John related to Kulwant?(A) Nephew (B) Grandnephew (C) Grandson (D) Great Grandson

52.Tinu is Johns.................(A) Aunt (B) Cousin (C) Sister (D) Niece

53.Mukesh is Gagans.................(A) Nephew (B) Brother (C) Brother-in-law (D) Nephew-in-law

DIRECTIONS for next four questions: Refer to the data below and answer the questions

that follow.

Six dramas, P, Q, R, S, T and U, are to be presented during the week, starting from Sundayup to Saturday. In a day, only one drama can be performed and the performance of the drama

is subject to the following conditions:i. A twoday gap should exist between the performance of drama T and S.ii. The performance of U should be followed immediately by the performance of R.iii. P cannot be performed on Thursday.iv. Q should be performed on Tuesday and should not be followed by S.v. There will not be any drama on one day. Friday or Sunday is not that day, and just a day

before that day, S has to be shown.

54.No drama is performed on:(A) Sunday (B) Saturday (C) Monday (D) Tuesday

55.On which day will Drama R be performed?(A) Friday (B) Saturday (C) Thursday (D) Monday

56.Which drama is the last one to be performed?(A) S (B) R (C) P (D) Either P or S

57.How many dramas are performed between S and U?(A) One (B) Two (C) Three (D) Four

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DIRECTIONS for next three questions: Refer to the data below and answer the questions

that follow.

An electronic company conducts a survey of 1000 houses for their product. The surveysuggested that 759 houses own AC, 682 houses own a PC and 658 houses own a TV. There

were 85 houses having only TVs, 108 houses having only AC and 84 houses having only aPC. There were 376 houses having all the three equipments.

58.Find the number of houses having a AC and PC but not a TV.(A) 150 (B) 125 (C) 72 (D) 100

59.Find the number of houses having at least two equipments.(A) 759 (B) 723 (C) 658 (D) 629

60.How many houses have at the most two equipments?(A) 347 (B) 376 (C) 624 (D) 427

Direction for next three questions: Refer to the data below and answer the questions that

follow.

The sports club of XMRI organized three major games viz; TT, Badminton and Cricket. Theratio of the number of students playing TT and Cricket only and those playing Badmintonand Cricket only is 2 : 3. The students playing all the three games are twice the number ofstudents playing TT and Badminton only. The numbers of students playing only Cricket are20 less than seven times the number of students playing both TT and Cricket only. The

difference in the number of students playing only TT and those playing only Badminton isone more than the number of students playing TT and Badminton only. The number ofstudents playing all the three games is three more than the number of students playingBadminton and Cricket only. Total number of students playing exactly two games is 112.

61.Find the number of students playing only Cricket.(A) 238 (B) 218 (C) 198 (D) 358

62.If the number of students playing only TT and only Badminton is 366, then what is thenumber of students playing only Badminton?(A) 197 (B) 183 (C) 169 (D) None of these

63.What is the difference between the students playing all the three games and those playingonly TT and Cricket?(A) 10 (B) 30 (C) 40 (D) 20

DIRECTIONS for questions 50 to 55: Refer to the data below and answer the questions

that follow.

Thirteen bungalows are to be grouped into three groups, group A containing 5 bungalows,group B and group C containing 4 bungalows each. The bungalows are coloured Red,

White, Pink, Indigo, Cyan, Yellow, Blue, Green, Orange, Violet, Purple, Burgundy andMaroon. The grouping is done subject to the following conditions:

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i. Yellow and Orange bungalows fall in group C while Red and White bungalows fall ingroup A.ii. Blue and Violet bungalows are together but not with Red or Orange bungalow.iii. No two of Pink, Burgundy and Green bungalows are together.

iv. Maroon and Indigo bungalows are always together.

64.If Pink bungalow falls in group A, then Green bungalow falls in group C. If this is thecase, then Burgundy bungalow would definitely fall in which group?(A) Group A (B) Group B(C) Group C (D) Either group A or Group C

65.Which of these bungalows would definitely fall in group B?(A) Pink bungalow (B) Burgundy bungalow(C) Green bungalow (D) Blue bungalow

66.If Burgundy and Green bungalows fall in group B and group C respectively, and ifCyan was definitely in group C, then Purple bungalow would definitely be in whichgroup?(A) Group A (B) Group B(C) Group C (D) Group A or Group C

67.If Pink and Burgundy bungalows are in group C and group B respectively, then Purplebungalow would definitely be in which group?

(A) Group A (B) Group B(C) Group C (D) Cannot be determined

68.If Pink, Purple and Cyan bungalows are in group A, group B and group Crespectively, then Burgundy bungalow would be in which group?(A) Group A (B) Group B(C) Group C (D) Cannot be determined

69.If condition iv in the question is not true and if Cyan and Purple bungalows are together,then they would definitely fall in which group?(A) Group A (B) Group B(C) Group C (D) Group B or Group C

DIRECTIONS for nest four questions: Refer to the data below and answer the questions

that follow.

A quiz has three rounds of two questions each. In the first round, each correct answer carries10 points and each incorrect answer carries a penalty of 5 points. If both the questions areanswered correctly, a bonus of 5 points is awarded. In the second round, each correct andincorrect answer carries the same points as in round 1. However, an additional penalty of 5

points is deducted, if both the questions are incorrectly answered. In round three, each correctanswer carries 20 points and each incorrect answer carries a penalty of 10 points.

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70.If the score at the end of the quiz is 10, how many answers were correct?(A) 1 (B) 2 (C) 3 (D) 4

71.If four answers are incorrect, then the maximum possible score is:(A) 0 (B) 5 (C) 10 (D) 15

72.If the score at the end of the quiz is 20, how many answers were incorrect?(A) 1 (B) 2 (C) 3 (D) 4

73.A total of 20 points can be scored in:(A) 2 ways (B) 4 ways (C) one way (D) 3 ways

74.Ifx = (163 + 173 + 183 + 193), thenx divided by 70 leaves a remainder of(A) 0 (B) 1 (C) 69 (D) 35

CAT-2005

75.Two identical circles intersect so that their centres, and the points at which they intersect,form a square of side 1 cm. The area in sq. cm of the portion that is common to the twocircles is

(A) /4 (B) (/2) - 1 (C) /5 (D) 2 1CAT-2005

Directions for next two questions: Answer the questions on the basis of the information

given below.Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. fromA at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the samespeed.

76.At what time do Ram and Shyam first meet each other?(A) 10:00 a.m. (B) 10:10 a.m. (C) 10:20 a.m. (D) 10:30 a.m.

CAT-2005

77.At what time does Shyam overtake Ram?(A) 10:20 a.m. (B) 10:30 a.m. (C) 10:40 a.m. (D) 10:50 a.m.

CAT-2005

78.Let n! = 1 2 3 ... n for integer n 1. Ifp = 1! (2 2!) + (3 3!) + + (10 10!),thenp + 2 when divided by 11! leaves a remainder of(A) 10 (B) 0 (C) 7 (D) 1

CAT-2005

79.In the following figure, the diameter of the circle is 3 cm. AB and MN are two diameterssuch that MN is perpendicular to AB. In addition, CG is perpendicular to AB such that

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AE:EB = 1:2, and DF is perpendicular to MN such that NL:LM = 1:2. The length of DHin cm is

(A) 22 1 (B)

(C)

(D)

Directions for next four questions:

A management institute was established on January 1, 2000 with 3, 4, 5, and 6 facultymembers in the Marketing, Organisational Behaviour (OB), Finance, and OperationsManagement (OM) areas respectively, to start with. No faculty member retired or joinedthe institute in the first three months of the year 2000. In the next four years, the instituterecruited one faculty member in each of the four areas. AH these new faculty members,who joined the institute subsequently over the years, were 25 years old at the time of their

joining the institute. All of them joined the institute on April 1. During these four years,one of the faculty members retired at the age of 60. The following diagram gives the area-

wise average age (in terms of number of completed years) of faculty members as on April1 of 2000, 2001, 2002, and 2003.

CAT-2005

80.From which area did the faculty member retire?(A) Finance (B) Marketing (C) OB (D) OM

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81.Professors Naresh and Devesh, two faculty members in the Marketing area, who havebeen with the Institute since its inception, share a birthday, which falls on 20thNovember. One was born in 1947 and the other one in 1950. On April 1 2005, what was

the age of the third faculty member who has been in the same area since inception?(A) 47 (B) 50 (C) 51 (D) 52

82.In which year did the new faculty member join the Finance area?(A) 2000 (B) 2001 (C) 2002 (D) 2003

83.What was the age of the new faculty member, who joined the OM area, as on April 1,2003?(A) 25 (B) 26 (C) 27 (D) 28

84.A group of 630 children is arranged in rows for a group photograph session. Each rowcontains three fewer children than the row in front of it. What number of rows is not

possible?(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

CAT-2006

85.The graph ofyx againsty +x is as shown below. (All graphs in this question are drawnto scale and the same scale has been used on each axis).

Then, which of the options given shows the graph ofy againstx.CAT-2006

(A) (B)

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(C) (D)

(E)

86.Consider the set S = {1, 2, 3, ., 1000}. How many arithmetic progressions can beformed from the elements of S that start with 1 and with 1000 and have at least 3elements?(A) 3 (B) 4 (C) 6 (D) 7 (E) 8

87.The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ootytea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). Onwhich date in 2007 will the prices of these two varieties of tea be equal?(A) May 21 (B) April 11 (C) May 20 (D) April 10 (E) June 30

CAT-2007

Directions for next two questions:

Let Sbe the set of all pairs (i,j) where 1 i j < n and n 4. Any two distinct members ofSare called friends if they have one constituent of the pairs in common and enemiesotherwise. For example, ifn = 4, then S= {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}. Here, (1,2) and (1, 3) are friends, (1,2) and (2, 3) are also friends, but (1,4) and (2, 3) are enemies.

CAT-2007

88.For general n, how many enemies will each member ofShave?(A) n 3

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(B)

(C) 2n 7

(D)

(E)

89.For general n, consider any two members ofSthat are friends. How many other membersofSwill be common friends of both these members?

(A)

(B) 2n 6

(C)()

(D) n 2

(E)

90.Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and50 Misos. In how many ways can you pay a bill of 107 Misos?(A) 17 (B) 16 (C) 18 (D) 15 (E) 19

CAT-2007

91.A functionf(x) satisfies f(1) = 3600, andf(l) +f(2) + ... + f(n) = nf(n), for all positiveintegers n>1. What is the value off(9) ?

(A) 80 (B) 240 (C) 200 (D) 100 (E) 120CAT-2007

92.Letf(x) = ax2 + bx + c, where a, b and c are certain constants and a 0. It is known thatf(5) = 3f(2) and that 3 is a root off(x) = 0.What is the other root off(x) = 0?(A) 7 (B) 4 (C) 2 (D) 6 (E) cannot be determined.

CAT-2008

93.Letf(x) be a function satisfyingf(x)f(y) =f(xy) for all realx,y. Iff(2) = 4, then what is thevalue of f(1/2)

(A) 0 (B) 1/4 (C) 1/2 (D) 1 (E) Cannot be determinedCAT-2008

94.If the roots of the equationx3 ax2 + bxc =0 are three consecutive integers, then whatis the smallest possible value ofb?

(A)

(B) -1 (C) 0 (D) 1 (E)

CAT-2008

95.What is the number of distinct terms in the expansion of (a + b + c)20?(A) 231 (B) 253 (C) 242 (D) 210 (E) 228 CAT-2008

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96.If (1/a)^(1/b) = 0.3333.... then what is the value of digital sum of digits of a*b, wheredigital sum is summation of digits till single digit and a and b are two distinct naturalnumber. Digital sum of 156= 3 (1+5+6 = 12=> 1+2=3)

(A) 1 (B) 3 (C) 9 (D) 7

97.What would be last digit in the decimal place (1/5)^200(A) 2 (B) 4 (C) 6 (D) 8 (E) 0

98.If log 2 = 0.3010, then the number of digits in 8010 is(A) 30 (B) 20 (C) 18 (D) 21

99.Among following options which one is factor of x2 y2 z2 + 2yz + x + y z(A) x y + z + 1 (B) x + y + z

(C) x + y z + 1 (D) x y z + 1

99 series

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