TCS Aptitude Question with Answers

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SECTION 1: VERBAL

COMPREHENSION HAD SIX QUESTIONS.SO HAD FILL IN THE BLANKS.FORMER WAS A VERY BORING PASSAGE.FILL IN HAD A PASSAGE WITH SIX SENTENCES IN BETWEEN TO BE FILLED WITH EIGHT CHOICES GIVEN.ALL STUDENTS HAD DIFFERENT PASSAGES.THE DATABASE IS VERY LARGE.FOR FILL IN GRE BOOK IS RECOMMENDED.

MOST OF THEM WERE NOT ABLE TO UNDERSTAND THE PASSAGE.

I HAVE GIVEN BELOW THE WORDS THAT WERE ASKED IN SYNONYMS AND ANTONYMS.

1. WHIMSICAL

2. CENSURE.

3. OPTIMUM.

4. MISAPPREHENSION.

5. CANDID.

6. TORSE.

7. CITE.

8. EFFUSIVE.

9. IRRADIATE.

10. TENACIOUS.

11. VOLUBLE.

12. BANAL.

13. RUPTURE.

14. STANDING.

15. NASCENT.

16. TRANSIENT.

17. CLUTCH.

18. GENERIC.

19. EMPIRICAL.

20. ANOMALY.

21. CIRCUITOUS.

22. HAMPER.

23. SURVEILLANCE.

24. OBJECTIVE.

25. RAUCOUS.

26. VORACIOUS.

27. PEDIGREE.

28. FIDELITY.

29. AUGMENT.

30. PRECARIOUS.

31. TRANSIENT.

32. ALACRITY.

33. DEROGATORY.

34. ONUS.

35. ANALOGUE.

36. EXPEDIENT.

37. ANALOGOUS.

38. ASSUAGE.

39. COMPLIANCE.

40. IRRADIATE.

41. DIFFIDANT.

42. PLAINTIVE.

43. INCINUATE.

44. MISDEMEANOR.

45. EXONERATE.

46. GREGARIOUS.

47. ANATHEMATIZE.

48. BENIGN.

49. ATTENUATE.

50. SONOROUS.

51. BOLSTER.

52. DIVERGENT.

53. DECOLLATE

54. HETERODOX

55. RESTIVENESS

56. IGNONIMOUS.

57. PLAGARIOUS.

58. EFFIGY.

59. TENACIOUS.

60. RETROGADE.

61. SACROSANCT.

62. DANGLE.

63. ANOMALY.

64. CRYPTIC.

65. DEBILIATE.

66. DIVULGE.

67. SCEPTIC.

68. SPENDTHRIFT.

69. INDIGENOUS.

70. ERRONIUS.

71. RUPTURE.

72. MINION.

73. VERACITY.

74. QUAIL.

75. DESULTORY.

76. SAGE.

SECTION 2: QUANTITATIVE AND LOGICAL REASONING.

MOST OF THE QUESTIONS WERE FROM TCS OLD PAPERS.

THE QUESTIONS WILL BE OF THIS PATTERN TO EVERYONE. ONLY THE DATA GETS CHANGED.

1. In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).

2. In the word ORGANISATIONAL, if the first and second, third and forth, forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?

3. What is the largest prime number that can be stored in an 8-bit memory?

4. Select the odd one out. a. Java b. Lisp c. Smalltalk d. Eiffel.

5. Select the odd one out a. SMTP b. WAP c. SAP d. ARP

6. Select the odd one out a. Oracle b. Linux c. Ingress d. DB2

7. Select the odd one out a. WAP b. HTTP c. BAAN d. ARP

8. Select the odd one out a. LINUX b. UNIX c. SOLARIS d. SQL SEVER

9. Select the odd one out a. SQL b. DB2 c. SYBASE d. HTTP

10. The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied?

11. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

12. In which of the system, decimal number 384 is equal to 1234?

13. Find the value of the 678 to the base 7.

14. Number of faces, vertices and edges of a cube

15. Complete the series 2, 7, 24, 77,__

16. Find the value of @@+25-++@16, where @ denotes “square” and + denotes “square root”.

17. Find the result of the following expression if, M denotes modulus operation, R denotes round-off, T denotes truncation: M(373,5)+R(3.4)+T(7.7)+R(5.8)

18. If TAFJHH is coded as RBEKGI then RBDJK can be coded as ———

19. G(0)=-1, G(1)=1, G(N)=G(N-1) – G(N-2), G(5)= ?

20. What is the max possible 3 digit prime number?

21. A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.

22. The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied?

23. In Madras , temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm.

24. The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

25. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

26. If the vertex (5,7) is placed in the memory. First vertex (1,1) ?s address is 1245 and then address of (5,7) is ———-

27. Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j

28. If VXUPLVH is written as SURMISE, what is SHDVD?

29. If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

30. What is the power of 2? a. 2068 b.2048 c.2668

31. Complete the series. 3, 8, –, 24, –, 48, 63

32. Complete the series. 4, -5, 11, -14, 22, —

33. A, B and C are 8 bit no?s. They are as follows:

A 1 1 0 1 1 0 1 1

B 0 1 1 1 1 0 1 0

C 0 1 1 0 1 1 0 1

Find ( (A-B) u C )=?

Hint :

A-B is {A} ? {A n B}

34. A Flight takes off at 2 A.M from northeast direction and travels for 11 hours to reach the destination which is in north west direction. Given the latitude and longitude of source and destination. Find the local time of destination when the flight reaches there?

35. A can copy 50 papers in 10 hours while both A & B can copy 70 papers in 10 hours. Then for how many hours required for B to copy 26 papers?

36. A is twice efficient than B. A and B can both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?

37. A finish the work in 10 days. B is 60% efficient than A. So how days does B take to finish the work?

38. A finishes the work in 10 days & B in 8 days individually. If A works for only 6 days then how many days should B work to complete A?s work?

39. Given the length of the 3 sides of a triangle. Find the one that is impossible? (HINT : sum of smaller 2 sides is greater than the other one which is larger)

40. Find the singularity matrix from a given set of matrices?(Hint det(A)==0)

41. A 2D array is declared as A[9,7] and each element requires 2 byte. If A[ 1,1 ] is stored in 3000. Find the memory of A[8,5] ?

42. Sum of slopes of 2 perpendicular st. lines is given. Find the pair of lines from the given set of options which satisfy the above condition?

43. (a) 2+3i (b)1+i (c) 3-2i (d) 1-7i .Find which of the above is orthogonal.

44. (Momentum*Velocity)/(Acceleration * distance ) find units.

45. The number 362 in decimal system is given by (1362)x in the X system of numbers find the value of X a}5 b) 6 c) 7 d) 8 e) 9

46. Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6

47. My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed.

a) 6:00 am b) 6:40am c)7:40 d)7:00 e)8:00 (Hint : Every 1 deg longitude is equal to 4 minutes . If west to east add time else subtract time)

48. Find the highest prime number that can be stored in an 8bit computer.

49. Which of the following set of numbers has the highest Standard deviation?

1,0,1,0,1,0

-1,-1,-1,-1,-1,-1

1,1,1,1,1,1

1,1,0,-1,0,-1

50. Match the following:

1. Male – Boy —> a. A type of

2. Square – Polygon —> b. A part of

3. Roof – Building —> c. Not a type of

4. Mushroom – Vegetables —> d. A superset of

Ans: 1- d, 2- a, 3- b, 4- c

51. Match the following.

1. brother ? sister —> a. Part of

2. Alsatian ? dog —> b. Sibling

3. sentence ? paragraph —> c. Type of

4. car – steering —> d. Not a type of

Ans. 1-b, 2-c, 3-a, 4-d

*****Remaining Questions were from Graph, pie charts, Bar chart and Venn diagram which were very easy.

SECTION 3: CRITICAL REASONING

(BRM ?LOGICAL REASONING PACKAGE WILL BE VERY HELPFUL)

I.The players G,H,J,K,L,M,N,O are to be felicitated of representing the county team in Baseball Out of these H,M,O also are in the Football team and K,N are there in the Basket ball team . These players are to be seated on a table and no two players who has represented the county in more than one game are to sit together.

1.Which one of the orders can they be seated in

2. Which of the orders is not possible

3. If N is seated in the middle then which of the following pairs cannot be seated near him .

4. If M is seated then which of the following pairs can be seated next to him.

Choices are given for all the questions

II There are 2 groups named Brown and red. They can?t marry in the same group. If the husband or wife dies then the person will convert to their own group. If a person is married then the husband will have to change his group to his wife?s group. The child will own the mothers group. From these a set of 4 questions were given .Solve them

Eg;

1.Brown?s daughter is red (False)

2. If a person is red. Then his/her mother?s brother belong to which group if he is married (Brown)

III 7 people ? a,b,c,d,e,f,g

Need to make a seating arrangement for them.

Conditions: 1)A should be at the center 2) B,F should be at the right extreme 3)C,E always in pair 4)D,G as far as possible

Questions from the above were asked?

Eg:

Which of the following pairs were not possible?

Others questions were similar to the above. More questions were from Barrons.

HR QUESTIONS:

For all the questions they expect a elaborate answer with justifications and not a short one.

1) Market urself

2) Why TCS ?

3) Will u switch over to any other company after joining TCS? If NO then why?

4) R u mobile? ( R u ready to go anywhere ?)

5) R u ready to go to places of extreme temperature. If yes what do u think of ur safety?

6) What are the requirements for leadership quality ?

7) Why u switch over to s/w from ur own back ground?

8) What are the qualities required for a s/w engineer and Project manager?

9) Rate ur good qualities?

10) What is the difference between hard and smart work?

11) Do u have a plan of doing higher studies ?

TCS Aptitude test :

1.if the word ’ddosszm’ is changed to ’central’ then what will be the change for ’rtjbl’ ?

ans:quick

2.what is the largest prime number in 8 digit number?

3.the word unimpressive was given.they asked us to do change 1st & 2nd,3rd & 4th,so on.then they asked what will be 10th letter from right?

ans:m

4.the plane question was asked.it took off from 7 degree 53’ 6.1’’ and landed at 8 degree 6’ 43.5’’.it takes 12 hours to travel between these points.then what will be local time at destination ?[just follow previous ques paper the problem was same]

5.g[0]=1,g[1]=-1,g[n]=2*g[n-1]-3*g[n-2] then calculate g[4]= ?

6.the series was asked : 5,6,7,8,10,11,14,..?

7.they asked the temperature problem.it was same as previous papers.the ratio was -t*t/6+4t+12.

8.the ques on a man,a woman and a boy finish work together in 6 days.man takes 10 days,woman takes 24 days then how much boy will take?

ans:40 days

8.the matrix of a(7,9) was given.the address of the first byte of a(1,1)=1258.it takes 4 bytes to store the nuymber.then calculate the address of the last byte of a(5,8).

9.the program requires 4000(n)1/2 [ie square root of n].if size of program was increased by 1% then calculate the percentage change in size of program.

10.modulo(373,7)+round(5.8)+truncat(7.2)-round(3.4) = ?

i exactly don’t remember the truncate function.but the function was where we skip the ’.’ part.

ans : 12

11.the bucket size is 10KB.it takes 0.0001 KB/milisec to fill bucket.the bucket takes 100 or 1000 milisec to reach to destination.it takes 100 milisec to pass acknowledgement from dest to source.so calculate how much time will it take to pass N KB ,write formula.

[i don’t remember the exact figures of bucket transmission time from source to dest]

12.the graph was given.the x and y axes were there.the line is intersecting them.the points of intersection were y=3,x=0 and x=-2,y=0.write the equation of line.

13.the decimal number was given.it was converted to other system.they asked to identify the

system.i.e. octal,hexadecimal.

14.they asked us to match the pairs.they were like,

A B

basmati-wheat not type of

15.the paragraph was given.it was on associations and the example of lecturer was there in para.

SECTION I

1. If VXUPLVH is written as SURMISE, what is SHDVD ?

Ans. PEASA (hint: in the first

word, the alphabets of the jumbled one is three

alphabets after the corresponding alphabet in the word

SURMISE. S = V-3, similarly find the one for SHDVD)

2. If DDMUQZM is coded as CENTRAL then RBDJK can be

coded as ———

Ans. QCEIL (hint: Write both the

jumbled and the coded word as a table, find the

relation between the corresponding words, i.e C= D-1,

N=M+1 & so on

3. In the word ECONOMETRICS, if the first and second ,

third and forth ,forth and fifth, fifth and sixth

words are interchanged up to the last letter, what

would be the tenth letter from right?

Ans. word is CENOMOTEIRSC tenth word is R

4. Find the result of the following __expression if, M

denotes modulus operation, R denotes round-off, T

denotes truncation: M(373,5)+R(3.4)+T(7.7)+R(5.8)

Ans. 19

5. What is the largest prime number that can be stored

in an 8-bit memory?

Ans.

6. Find the physical quantity in units from the

equation: (Force*Distance)/(Velocity*Velocity)

Ans. Ns2/m

7. Find the value of @@+25-++@16, where @ denotes

“square” and + denotes “square root”.

Ans: 621

8. If f(0)=1 and f(n)= f(n-1)*n, find the value of

f(4).

Ans: 24

9. Convert the decimal number 310 to the base 6.

Ans: 1234

10. Find the missing number in the series: 2, 5,

__ , 19 , 37, 75

Ans: 9

11. In a two-dimensional array, X(9,7), with each

element occupying 4 bytes of memory, with the address

of the first element X(1,1) is 3000, find the address

of X(8,5).

Ans.

12. Find the fourth row, having the bit pattern as an

integer in an 8-bit computer, and express the answer

in its decimal value.

A 0 0 0 0 1 1 1 1

B 0 0 1 1 0 0 1 1

C 0 1 0 1 0 1 0 1

(AU(B-C)) ?

Ans. 29

13. Complete the series 2, 7, 24, 77,__ (hint: 2*12=

24, 7*11= 77, therefore 24*10= 240)

Ans: 240

14. Consider the following diagram for answering the

following questions:

A. Find the difference between people playing

cricket and tennis alone.

Ans: 4

B. Find the percentage of people playing

hockey to that playing both hockey and cricket.

Ans:

C. Find the percentage of people playing all

the games to the total number of players.

Ans: 6%

15. One more question of the same type (Same type of

diagram; of course in a different set)

1. How many more or less speak English thanFrench?

2. What % people speak all the three languages?

3. What % people speak German but not English?

{In another set cricket, hockey and tennis are changed

with the name of some computer languages, such as

Java, Cobol, Fortran (may be some other name)}

16. Select the odd one out

a. Oracle b.

Linux c. Ingress

d. DB2

17. Select the odd one out

a. SMTP b. WAP

c. SAP

d. ARP

18. Select the odd man out.

a. Java b.

Lisp c. Smalltalk

d. Eiffel

19. Which of the following are orthogonal pairs?

a. 3i+2j

b. i+j c. 2i-3j

d. -7i+j

20. Number of faces, vertices and edges of a cube

a. 12,8,6

b. 4,6,8 c. 6,8,12

d. 6,12,8

21. Given a Bar Chart showing the sales of a company.

(In Figure) The sales in years as shown in the figure

are (in crores) 1998-1999 – 130, 1997-1998 – 90,

1996-1997 – 90, 1995-1996 – 70

1. The highest growth rate was for the year

Ans. 1998-1999

2. The net increase in sales of the company in the

year span of 1995-1999

Ans. 60 crores.

3. The lowest growth rate was for the year

Ans. 1997

22. Find the value of the decimal number to the base

7.

Ans. 1436.

23. Complete the series:5,6,7,8,10,11,14,__.

Ans. 15

24. If the vertex (5,7) is placed in the memory. First

vertex (1,1) ?s address is 1245 and then address of

(5,7) is ———-

Ans.

25. In which of the system, decimal number 384 is

equal to 1234?

Ans.

26. A man, a woman, and a child can do a piece of work

in 6 days. Man only can do it in 24 days. Woman can do

it in 16 days and in how many days child can do the

same work?

Ans.

27. In Madras , temperature at noon varies according to

-t^2/2 + 8t + 3, where t is elapsed time. Find how

much temperature more or less in 4pm to 9pm.

Ans.

28. The size of the bucket is N kb. The bucket fills

at the rate of 0.1 kb per millisecond. A programmer

sends a program to receiver. There it waits for 10

milliseconds. And response will be back to programmer

in 20 milliseconds. How much time the program takes to

get a response back to the programmer, after it is

sent?

Ans.

29. The size of a program is N. And the memory

occupied by the program is given by M = square root of

100N. If the size of the program is increased by 1%

then how much memory now occupied ?

Ans.

30. A power unit is there by the bank of the river of

750 meters width. A cable is made from power unit to

power a plant opposite to that of the river and

1500mts away from the power unit. The cost of the

cable below water is Rs. 15/- per meter and cost of

cable on the bank is Rs.12/- per meter. Find the total

of laying the cable.

Ans. Rs. 22,500 (hint: the plant

is on the other side of the plant i.e. it is not on

the same side as the river)

{There are two questions, both showing a curve. In the

first one, you have to identify the curve. In the

second one you have to Write the equation of the

curve. In }

SECTION II

1. If A can copy 50 pages in 10 hours and A and B

together can copy 70 pages in 10 hours, how much time

does B takes to copy 26 pages?

a. b.

c. d.

2. Match the following:

1. Male – Boy —>

a. A type of

2. Square – Polygon —> b.

A part of

3. Roof – Building —>

c. Not a type of

4. Mushroom – Vegetables —> d.

A superset of

Ans: 1- d, 2- a, 3- b, 4- c

3. Match the following.

1. brother ? sister —>

a. Part of

2. Alsatian ? dog —>

b. Sibling

3. sentence ? paragraph —> c.

Type of

4. car – steering —>

d. Not a type of

Ans. 1-b, 2-c, 3-a, 4-d

Questions 20- 24 are based on the following passage:

The office staff of the XYZ

corporation presently consists of three bookkeepers

(A, B and C) and five secretaries (D, E, F, G and H).

Management is planning to open a new office in another

city using three secretaries and two bookkeepers of

the current staff. To do so they plan to separate

certain individuals who do not function well together.

The following guidelines were established to set up

the new office:

I. Bookkeepers A and C are

constantly finding fault with one another and should

not be sent as a team to the new office.

II. C and E function well alone but

not as a team. They should be separated.

III. D and G have not been on

speaking terms for many months. They should not go

together.

IV. Since D and F have been competing

for promotion, they should not be a team.

Ans.

4. If A is to be moved as one of the bookkeepers,

which of the following cannot be a possible working

team?

(a) ABDEH (b) ABDGH

(c) ABEFH (d) ABEGH (e) ABFGH

5. If C and F are moved to the new office, how many

combinations are possible?

(a) 1 (b) 2

(c) 3 (d) 4

(e) 5

6. If C is sent to the new office, which member of the

staff cannot go with C?

(a) B (b) D

(c) F (d) G

(e) H

7. Under the guidelines developed, which of the

following must go to the new office?

(a) B (b) D

(c) E (d) G

(e) H

8. If D goes to the new office which of the following

is (are) true?

I. C cannot go.

II. A cannot go.

III. H must also go.

a. I only. b. II only.

c. I and II only. d. I and III only.

e. I, II and III.

9. Two stations A & B are 110 km apart. One train

starts from A at 7 am, and travels towards B at

20kmph. Another train starts from B at 8 am and

travels towards A at 25kmph. At what time will they

meet?

a. 9 am b. 10 am

c. 11 am d. 10.30 am

10. If a man can swim downstream at 6kmph and upstream

at 2kmph, his speed in still water is:

a. 4kmph b. 2kmph

c. 3kmph d. 2.5kmph

Answer the following three questions based on the

paragraph:

A student applying at a college should take three

courses. There are altogether four courses, namely,

Science, Maths, Social Sudies and Economics. (The

names may vary, but the pattern is the same)

One can take a Science course onty if he has taken a

Maths course.

One can take a Maths course only if he has taken a

Science course.

One can take a n Economics course only if he has taken

a Social Studies course.

11. Which of the following is a possible course?

a. Two Science courses and a Social

Studies Course.

b. Two Maths courses and an Economics

course.

c. One Mats course, one Science course and

a Social Studies course.

d. One Maths course, one Science course

and an Economics course.

12. Which of the following courses a student can take?

I. One Science, one Social Studies,

one Economics

II. Two Science, one Social Studies

III. Two Science, one Maths.

a. I only

b. III only c. I and II only

d. II and III only

13. Which of the following is not a possible course?

a. Two Science courses and a Maths course.

b. Two Maths course and a

Science course.

c. One Maths course, one Science course

and a Social Studies Course.

d. One Maths course, one Science course

and an Economics course.

Synonyms:

Pillage ? steal , loot , plunder

Cleft – split , crack

Incesment ?

Brazen – bold , shameless

Awry – skewed , twisted , crooked

Remiss ? careless , negligent

Defection – desertion

Ensue – follow

Avid – keen , eager

Rupidiate Repudiate – reject,deny

Gauche – clumsy, vulgar

Intrinsic – essential

Gaudy ? flashy , showy

Hidebound ? narrow minded

Incognitent -

Intermittent ? irregular,broken

Clastrophobia – fear

Contraband ? illegal trade

Pagm concealed rapt

Voracious ? avid,hunger,greedy

Seedy ? sleazy,seamy

Omniscience ? knowing all

Diatribe ? attack,criticism

Slack – loose, relaxed

Felicitous ? fortunate,luck

Relish ? enjoy,savor

Aloofness ? unfriendliness, remoteness

Ambiguity – unknown

Pattry

Baleful ? threatening, malevolent

Odium ? hatred, disgust

Lapidarian

Gambol – skip

High handed ? dominant,imperious

Retrospection – perception

Antithe

Pagan

Genuflect ? kneel,bow

coerce ? force,compel

Indubitably ? undoubtedly, certainly

Extraneous ? irrelevant , unrelated

Corpulent ? fat,pump

Transient ? momentary

Spurious ? false,fake

Whimsical – fancy

Braggadocio -

Chimerical

Callow ? inexperience,naive

Menial ? unskilled,boring

Indigenous ? native,original

Ambiguity

Foil ? frustrate,halt

Antonyms:

Awry

Consensus disagreement

Retrograde forward looking

Galleon

Chide praise

Depravity goodness,righteousness

Paradox consistency

Stilted natural

Levity gravity

Fritty

Genry

I am preparing for the TCS campus placement. Will you please forward me aptitude paper of TCS with answers?

[Pathak]

As per your request, I am giving you questions with solution form the previous year TCS Aptitude placement paper. I wish that question will fruitful for you.

1. The value of diamond varies directly as the square of its weight. If a diamond falls and breaks into two pieces with weights in the ratio 2:3. what is the loss percentage in the value?
Sol: Let weight be “x”
the cost of diamond in the original state is proportional to [Math Processing Error]

when it is fallen it breaks into two pieces 2y and the 3y
x = 5y
Original value of diamond = [Math Processing Error] = [Math Processing Error]
Value of diamond after breakage = [Math Processing Error]

so the percentage loss will be = [Math Processing Error]

2. Five college students met at a party and exchanged gossips. Uma said, “Only one of us is lying”. David said, “Exactly two of us are lying”. Thara said, “Exactly 3 of us are lying”. Querishi said, “Exactly 4 of us are lying”. Chitra said “All of us are lying”. Which one was telling the truth?
a)David
b)Querishi
c)Chitra
d)Thara
Sol: As all are contradictory statements, it is clear that ONLY one of them is telling the truth. So remaining 4 of them are lying. Querishi mentioned that exactly 4 are lying. So, he is telling the truth.
Explanation: Let us 1st assume that Uma is telling the truth. Then according to her only one is lying. But if only one is lying then all the others’ statements are contradicting the possibility. In the same way all the other statements should be checked. If we assume the Querishi is telling the truth, according to him exactly 4 members are lying. So all the others are telling lies and he is the one who is telling the truth. This case fits perfectly.

3. Cara, a blue whale participated in a weight loss program at the biggest office. At the end of every month, the decrease in weight from original weight was measured and noted as 1, 2, 6, 21, 86, 445, 2676. While Cara made a steadfast effort, the weighing machine showed an erroneous weight once. What was that.
a) 2676
b) 2
c) 445
d) 86
SOL: This is a number series problem nothing to do with the data given.
1x 1+1=2
2 x 2+2=6
6 x 3+3=21
21 x 4+4=88 and not 86
88 x 5+5 = 445
445*6+6 = 2676

4. The letters in the word ADOPTS are permuted in all possible ways and arranged in alphabetical order then find the word at position 42 in the permuted alphabetical order?
a) AOTDSP
b) AOTPDS
c) AOTDPS
d) AOSTPD
SOL:
In alphabetical order : A D O P S T
A _ _ _ _ _ : the places filled in 5! ways = 120, But we need a rank less than 120. So the word starts with A.
A D _ _ _ _ : empty places can be filled in 4!=24
A O _ _ _ _ : the places filled with 4! ways = 24. If we add 24 + 24 this total crosses 42. So We should not consider all the words starting with AO.
A O D _ _ _ : 3!= 6
A O P _ _ _ : 3!=6
Till this 36 words are obtained, we need the 42nd word.
AOS _ _ _ : 3!= 6
Exactly we are getting the sum 42. So last 3 letters in the descending order are TPD.
So given word is AOSTPD

4. A man who goes to work long before sunrise every morning gets dressed in the dark. In his sock drawer he has 6 black and 8 blue socks. What is the probability that his first pick was a black sock, but his second pick was a blue sock?
SOL: This is a case of without replacement. We have to multiply two probabilities. 1. Probability of picking up a black sock, and probability of picking a blue sock, given that first sock is black.
[Math Processing Error]

5. There are 6 red balls,8 blue balls and 7 green balls in a bag. If 5 are drawn with replacement, what is the probability at least three are red?
Sol: At least 3 reds means we get either : 3 red or 4 red or 5 red. And this is a case of replacement.
case 1 : 3 red balls : 6/21 x 6/21 x 6/21 x 15/21 x 15/21
case 2 : 4 red balls : 6/21 x 6/21 x 6/21 x 6/21 x 15/21
case 3 : 5 red balls : 6/21 x 6/21 x 6/21 x 6/21 x 6/21

Total probability = = (6/21 x 6/21 x 6/21 x 15/21 x 15/21)+(6/21 x 6/21 x 6/21 x 6/21 x (15 )/21)+ (6/21 x 6/21 x 6/21 x 6/21 x 6/21)
= 312/16807

6. Total number of 4 digit number do not having the digit 3 or 6.
Sol:
consider 4 digits _ _ _ _
1st blank can be filled in [Math Processing Error] ways (0,3,6 are neglected as the first digit should not be 0)
2st blank can be filled in [Math Processing Error] ways (0 considered along with 1,2,4,5,7,8,9)
3st blank can be filled in [Math Processing Error] ways
4st blank can be filled in [Math Processing Error] ways
Therefore total 4 digit number without 3 or 6 is 7 x 8 x 8 x 8=3584

7. Find the missing in the series: 70, 54, 45, 41,____.
Sol: 40
70-54 = 16 = [Math Processing Error]
54-45 = 9 = [Math Processing Error]
45-41 = 4 = [Math Processing Error]
41-40 = 1 = [Math Processing Error]

8. A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Sol: We have to find the maximum number which divides all the given numbers so that number of roots get minimized. HCF of 120,192 & 144 is 24. Each room have 24 students of the same course.
Then rooms needed [Math Processing Error] = 5 +8 + 6 = 19

9. A farmer has a rose garden. Every day he picks either 7,6,24 or 23 roses. When he plucks these number of flowers the next day 37,36,9 or 18 new flowers bloom. On Monday he counts 189 roses. If he continues on his plan each day, after some days what can be the number of roses left behind? (Hint : Consider number of roses remaining every day)
a)7
b)4
c)30
d)37
SOL:
let us consider the case of 23. when he picks up 23 roses the next day there will be 18 new, so in this case., 5 flowers will be less every day. So when he counts 189, the next day 184, 179,174,169,................
finally the no. of roses left behind will be 4.

10. What is the 32nd word of "WAITING" in a dictionary?
Sol: Arranging the words of waiting in Alphabetical Order : A,G,I,I,N,T,W

Start with A_ _ _ _ _ _ This can be arranged in 6!/2! ways=720/2=360 ways
so can't be arranged starting with A alone as it is asking for 32nd word so it is out of range

AG_ _ _ _ _then the remaining letters can be arranged in 5!/2! ways so,120/2=60 ways. Out of range as it has to be within 32 words.
AGI_ _ _ _ Now the remaining letters can be arranged in 4! ways =24
AGN _ _ _ _ can be arranged in 4!/2! ways or 12 ways
so,24+12 =36th word so out of range. So we should not consider all the words start with AGN
now AGNI_ _ _can be arranged in 3! ways =6 ways
so 24+6=30 within range
Now only two word left so, arrange in alphabetical order.
AGNTIIW - 31st word
AGNTIWI - 32nd word