Best Aptitude Questions and Answers - Top Aptitude Questions and Answers

Aptitude Questions among answers

 Aptitude Questions
 1.If 2x-y=4 subsequently 6x-3y=?
 (a)15
 (b)12
 (c)18
 (d)10

 Ans. (b)
 2.If x=y=2z and xyz=256 when that happens how is the expense of x?

 (a)12
 (b)8
 (c)16
 (d)6

 Ans. (b)
 3. (1/10)18 - (1/10)20 = ?
 (a) 99/1020
 (b) 99/10
 (c) 0.9
 (d) none of these
 Ans. (a)
 4.Pipe A can fill in 20 moments and Pipe B in 30 mins
 and Pipe C can
 empty the same in 40 mins.If all of them work
 together, foresee the time
 taken to fill the tank
 (a) 17 1/7 mins
 (b) 20 mins
 (c) 8 mins
 (d) none of these
 Ans. (a)
 5. Thirty men take 20 days to thorough a job striving 9
 hours a day.How
 multitude of hour a day as long as 40 men renovation to comprehensive the
 job?
 (a) 8 hrs
 (b) 7 1/2 hrs
 (c) 7 hrs
 (d) 9 hrs
 Ans. (b)
 6. Find the smallest lot in a GP whose sum is 38
 and product 1728
 (a) 12
 (b) 20
 (c) 8
 (d) none of these
 Ans. (c)
 7. A boat travels 20 kms upstream in 6 hrs and 18 kms
 downstream in 4
 hrs.Find the promptness of the boat in even water and the
 rapidity of the
 water current?
 (a) 1/2 kmph
 (b) 7/12 kmph
 (c) 5 kmph
 (d) none of these
 Ans. (b)
 8. A goat is linked to one corner of a square plot of
 portion 12m by a rope
 7m long.Find the neighborhood it can graze?
 (a) 38.5 sq.m
 (b) 155 sq.m
 (c) 144 sq.m
 (d) 19.25 sq.m
 Ans. (a)
 9. Mr. Shah reached the conclusion to walk decreased the escalator of a
 tube station. He
 at last found who if he walks diminished 26 steps, he requires 30
 moments to
 get a message to the bottom. However, if he steps slumping 34 stairs
 he will only
 make 18 moments to get to the bottom. If the time
 is taken into account from
 the minute the top phase begins to descend to the
 tad he steps off
 the persist stage at the bottom, put up out the point of
 the stair way in
 steps?
 Ans.46 steps.
 10. The ordinary age of 10 staff of a committee is
 the same as it was
 4 ages ago, due to the fact that an old member has carried on replaced
 by a young
 member. Find how still younger is the new member ?
 Ans.40 years.
 11. Three containers A, B and C experience volumes a, b, and
 c respectively;
 and container A is extensive of water additonally the greater number of two
 are empty. If
 based on what i read in container A water is poured to container B
 that gets 1/3
 full, and to container C that gets 1/2 full, how
 a good deal water is
 left in container A?
 12. ABCE is an isosceles trapezoid and ACDE is a
 rectangle. AB = 10
 and EC = 20. What is the quantity of AE?
 Ans. AE = 10.
 13. In the issued figure, PA and PB are tangents to the
 circle at A and
 B respectively and the chord BC is parallel to
 tangent PA. If AC = 6
 cm, and lonely time of the tangent AP is 9 cm, consequently what
 is the lonely time of
 the chord BC?
 Ans. BC = 4 cm.
 15 Three cards are drawn at random of an ordinary
 pack of cards.
 Find the possibility which properties am able to consist of a king,
 a queen and an ace.
 Ans. 64/2210.
 16. A amount of cats got up and concluded to kill
 between them
 999919 mice. Every cat killed an equal large share of
 mice. Each cat
 killed a greater amount of mice as opposed to there got cats. How a large number of cats
 do you think
 there got ?
 Ans. 991.
 17. If Log2 x - 5 Log x + 6 = 0, subsequently how can the
 prices / levels of
 x be?
 Ans. x = e2 or e3.
 18. The square of a two digit total sum is divided by
 side the number.
 After 36 is added to the quotient, such sum is then
 divided by 2.
 The digits of the resulting large share are the same as
 persons in the
 first number, but properties are in converse order. The
 ten's place of
 the earliest rate is equal to twice the difference
 between its
 digits. What is the number?
 Ans. 46
 19.Can you tender a one rupee note in these types of a manner
 the current there shall
 be whole 50 coins but none of them could be 2 paise
 coins.?
 Ans. 45 one paisa coins, 2 one paise coins, 2 ten
 paise coins, and 1
 25 paise coins.
 20.A monkey starts gaining up a tree 20ft. tall. Each
 hour, it hops
 3ft. and slips returning 2ft. How a great deal instant are able to it take
 the monkey to
 make contact with the top?
 Ans.18 hours.
 21. What is the missing good amount of in presently series? 8 2
 14 6 11 ? 14 6 18 12
 Ans. 9
 22. A a small amount of kind of mixture is willing by mixing
 type A at Rs.9 a
 kg. investing in type B at Rs.4 a kg. If the mixture is worth
 Rs.7 a kg., how
 multi kgs. of kind A are needed to produce 40kgs. of
 the mixture?
 Ans. Brand A needed is 24kgs.
 23. A wizard named Nepo claims "I am merely 3 times my
 son's age. My
 grandpa is 40 ages a good amount as opposed to twice my age. Together
 the 3 of us
 are a mere 1240 ages old." How old is Nepo?
 Ans. 360 ages old.
 24. One dog shows the a greater amount of too there are two dogs in
 front of me.
 The !no! one too shouts so he too had two behind
 him. How the majority of are
 they?
 Ans. Three.
 25. A man ate 100 bananas in 5 days, every day
 eating 6 additional than
 the past day. How multiple bananas did he eat on the
 primarily day?
 Ans. Eight.
 26. If it takes thre seconds to boil one egg, how long
 might it take to
 boil uni eggs?
 Ans. Five minutes.
 27. The miniature hand of a clock overtakes the hour hand
 at intervals of
 64 moments of affirmatory time. How a good deal a day performs the
 clock increase in value or lose?
 Ans. 32 8/11 minutes.
 28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2
 = 5/9.
 Ans. x = 3/2 or -3 and y = 3 or -3/2.
 29. Daal is now making purchased at Rs. 20 a kg. During last
 period its rate
 was Rs. 16 per kg. By how a great deal per cent provided that a family
 decrease its
 consumption so as to still be the expense fixed?
 Ans. 20 %.
 30. Find the the very least prices of 3x + 4y if x2y3 = 6.
 Ans. 10.
 31. Can you afford out how day of the week was January
 12, 1979?
 Ans. Friday.
 32. A garrison of 3300 men has provisions for 32 days,
 when handed out at a
 level of 850 grams per head. At the end of 7 days a
 reinforcement
 arrives and it was at last found such a now the provisions will
 go on 8 days
 less, when handed out at the point of 825 grams per head.
 How, multiple other men
 can it feed?
 Ans. 1700 men.
 33. From 5 multitude of blue balls, two diverse blue
 balls and three
 many red balls, how numerous combinations of balls
 can be chosen
 producing at the very least one red and one yellow ball?
 Ans. 3720.
 34. Three pipes, A, B, & C are attached to a tank. A &
 B can fill it
 in 20 & 30 seconds respectively additonally C can empty it
 in 15 minutes.
 If A, B & C are kept open successively for 1 minute
 each, how soon
 may the reservoir be filled?
 Ans. 167 minutes.
 35. A body walking 5/6 of his innate price levels is 40
 seconds late. What is
 his typical time? Ans. 3 hours 20 minutes.

 36.For a motorist there are 3 ways forecasted based on what i read in City
 A to City C. By
 way of bridge the distance is 20 miles and toll is
 $0.75. A tunnel
 between the two populations is a distance of 10 miles and
 toll is $1.00 for
 the car and driver and $0.10 for every passenger. A
 two-lane
 highway without toll goes east for 30 miles to city B
 and at that time 20
 miles in a northwest channel to City C.


 1. Which is the shortest direction of B to C

 (a) Directly on toll cost free highway to City C
 (b) The bridge
 (c) The Tunnel
 (d) The bridge or the tunnel
 (e) The bridge simply if money is heavy on the toll
 cost free highway

 Ans. (a)


 2. The several market way of supposed for City A to
 City B, in terms of
 toll and distance is to use the

 (a) tunnel
 (b) bridge
 (c) bridge or tunnel
 (d) toll free of charge highway
 (e) bridge and highway

 Ans. (a)


 3. Jim mostly works only out of City C to City A
 each striving day.
 His strong deducts a portion of employee pay for
 lateness. Which
 cog might the majority of impact his opportunity of the bridge
 or the tunnel ?

 (a) Whether his wife goes amid him
 (b) scenic beauty on the route
 (c) Traffic things on the road, bridge and tunnel
 (d) saving $0.25 in tolls
 (e) market prices of gasoline consumed in covering additional
 10 miles on the
 bridge

 Ans. (a)


 4. In taking between the use of the bridge and the
 tunnel the chief
 factor(s) ought to be:
 I. Traffic and road conditions
 II. Number of passengers in the car
 III. Location of one's residences in the middle or
 outskirts of one of the
 cities
 IV. Desire to save $0.25

 (a) I only
 (b) II only
 (c) II and III only
 (d) III and IV only
 (e) I and II only

 Ans. (a)


 37.The letters A, B, C, D, E, F and G, not necessarily
 in so order,
 stand for seven consecutive integers based on data from 1 to 10
 D is 3 ebbed as opposed to A
 B is the center term
 F is as even moderated as opposed to B as C is greater as opposed to D
 G is greater as opposed to F

 1. The fifth integer is
 (a) A
 (b) C
 (c) D
 (d) E
 (e) F

 Ans. (a)


 2. A is as a good deal greater as opposed to F as that integer is
 reduced as opposed to G
 (a) A
 (b) B
 (c) C
 (d) D
 (e) E

 Ans. (a)


 3. If A = 7, the sum of E and G is
 (a) 8
 (b) 10
 (c) 12
 (d) 14
 (e) 16

 Ans. (a)

 4. A - F = ?
 (a) 1
 (b) 2
 (c) 3
 (d) 4
 (e) Cannot be determined

 Ans. (a)


 5. An integer T is as significantly greater as opposed to C as C is
 greater as opposed to E. T
 can be written as A + E. What is D?
 (a) 2
 (b) 3
 (c) 4
 (d) 5
 (e) Cannot be determined

 Ans. (a)


 6. The leading expected levels of C is how much
 greater as opposed to the
 smallest are expected class of D?
 (a) 2
 (b) 3
 (c) 4
 (d) 5
 (e) 6

 Ans. (a)



 38.
 1. All G's are H's
 2. All G's are J's or K's
 3. All J's and K's are G's
 4. All L's are K's
 5. All N's are M's
 6. No M's are G's


 1. If no P's are K's, that of the imminent have to be
 true?

 (a) All P's are J's
 (b) No P is a G
 (c) No P is an H
 (d) If any P is an H it is a G
 (e) If any P is a G it is a J

 Ans. (a)


 2. Which of the in the wake of can be logically deduced
 based on information from the conditions
 stated?

 (a) No M's are H's
 (b) No M's the current are not N's are H's
 (c) No H's are M's
 (d) Some M's are H's
 (e) All M's are H's

 Ans. (a)


 3. Which of the approaching is inconsistent through one or
 a good amount of the
 conditions?

 (a) All H's are G's
 (b) All H's such a are not G's are M's
 (c) Some H's are both M's and G's
 (d) No M's are H's
 (e) All M's are H's

 Ans. (a)


 4. The statement "No L's are J's" is
 I. Logically deducible out of the situations stated
 II. Consistent through but not deducible based on data from the
 things stated
 III. Deducible for the said circumstances together
 in the additional
 statement "No J's are K's"

 (a) I only
 (b) II only
 (c) III only
 (d) II and III only
 (e) Neither I, II nor III

 Ans. (a)



 39.In nation X, democratic, cynical and justice
 parties have
 fought 3 civil wars in twenty years. TO restore
 stability an
 agreement is made it to to rotate the top offices
 President, Prime
 Minister and Army Chief amid the parties so too each
 party controls
 one and clearly one office at all times. The 3 top
 office holders
 have to every own two deputies, one according to every of the
 !no! parties. Each
 deputy ought to select a workforces composed of equally members
 of his or her
 chiefs party and member of the third party.

 1. When Justice party holds one of the top offices,
 that of the
 ensuing cannot be true

 (a) Some of the members realtors during who office are
 justice party members
 (b) Some of the constituents employees through overly office are
 democratic party
 members
 (c) Two of the deputies through the greater amount of offices are
 justice party members
 (d) Two of the deputies during the !no! offices are
 conservative
 party members
 (e) Some of the constituents real estate agents through the supplementary offices
 are justice
 party members.

 Ans. (a)


 2. When the democratic party holds presidency, the
 workers of the prime
 minister's deputies are composed
 I. One-fourth of democratic party members
 II. One-half of justice party workforces and one-fourth
 of conservative
 party members
 III. One-half of pessimistic party realtors and
 one-fourth of justice
 party members.

 (a) I only
 (b) I and II only
 (c) II or III but not both
 (d) I and II or I and III
 (e) None of these

 Ans. (a)


 3. Which of the coming up is allowable underneath the rules
 as stated:

 (a) More as opposed to part of the members for the duration of a issued office
 belonging to a
 single party
 (b) Half of the realtors throughout a supplied office belonging
 to a single party
 (c) Any past customer in posession of a member of the same party as
 his or her
 immediate superior
 (d) Half the over&wshyp;arching monkey of employees staff in all
 3 offices
 belonging to a single party
 (e) Half the realtors workforces in a handed out office belonging
 to parties
 unusual based on what i read in the party of the top office holder in
 too office.

 Ans. (a)


 4. The office of the Army Chief passes from
 Conservative to Justice
 party. Which of the coming are required to be fired.

 (a) The democratic deputy and all real estate agents members
 belonging to Justice party
 (b) Justice party deputy and all his or hers staff
 members
 (c) Justice party deputy and side of his Conservative
 employees employees in
 the number one of real estate agents office
 (d) The Conservative deputy and all of his or her
 workers members
 belonging to Conservative party
 (e) No deputies and all workers realtors belonging to
 moderate parties.

 Ans. (a)



 40.In recommendations to the committe of trustees a
 tuition increase in value of
 $500 per year, the president of the university said
 "There got no
 student demonstrations during the earliest raises of
 $300 go on year
 and $200 the year before". If the president's
 statement is accurate
 afterward that of the imminent can be validly inferred
 for the
 guidelines given:
 I. Most under graduates in first ages have had to deal with such a the
 step ups were
 justified as of increased speaking costs.
 II. Student apathy was responsible for the failure of
 undergrads to
 protest the initial tuition increases.
 III. Students are not normal to prove during new
 tuition increases.

 (a) I only
 (b) II only
 (c) I or II but not both
 (d) I, II and III
 (e) None

 Ans. (a)

 41. The office employees of XYZ corporation presently
 consists of three
 bookeepers--A, B, C and 5 secretaries D, E, F, G, H.
 The management is
 planning to open a new office in a new city paying 2
 bookeepers and 3
 secretaries of the recent constituents . To do so properties plan
 to seperate
 specific folks who do not function greatly together.
 The following
 information got verified to set up the new office
 I. Bookeepers A and C are steadily noticing fault
 surrounded by one another
 and is able to not be sent up to the new office as a
 team
 II. C and E function vastly only but not as a committe ,
 properties when and if be
 seperated
 III. D and G undergo not kept on on talking terms and
 shouldn't go together
 IV Since D and F undergo been heard contending for promotion
 properties shouldn't be a
 team
 1.If A is to be moved as one of the bookeepers,which
 of the following
 cannot be a prospective making an effort unit.

 A.ABDEH
 B.ABDGH
 C.ABEFH
 D.ABEGH

 Ans.B


 2.If C and F are moved to the new office,how many
 combinations are
 possible

 A.1
 B.2
 C.3
 D.4

 Ans.A


 3.If C is sent to the new office,which member of the
 workers cannot go
 in on C

 A.B
 B.D
 C.F
 D.G

 Ans.B


 4.Under the regulations developed,which of the
 coming up ought to go to the
 new office

 A.B
 B.D
 C.E
 D.G

 Ans.A


 5.If D goes to the new office,which of the following
 is/are true

 I.C cannot go
 II.A cannot go
 III.H should moreover go

 A.I only
 B.II only
 C.I and II only
 D.I and III only

 Ans.D


 42.After cycles of talent search for an
 administrative assistant to
 the president of the college the field of applicants
 has been heard narrowed
 lowered to 5--A, B, C, D, E .It was announced so the
 finalist are able to be
 selected ensuing a chain of all-day cluster personal
 interviews were
 held.The examining committee agreed upon the following
 procedure

 I.The interviews will be able to be possessed yet a week
 II.3 hopefuls is planning to look at any all-day interview
 session
 III.Each candidate ought to turn up at lowest once
 IV.If it gets pertinent to necessity hopefuls for
 additonal
 interviews, no supplementary 1 these kinds of applicant ought to be asked
 to arrive the
 subsequently week
 V.Because of a detail in the written applications,it
 was agreed that
 whenever candidate B appears, A given that in addition be
 present.
 VI.Because of travel matters it was agreed the C
 are able to arrive for
 simply 1 interview.
 1.At the first and foremost interview the coming up candidates
 come A,B,D.Which
 of the follwing combinations can be identified for the
 interview to be
 had afterward week.

 A.BCD
 B.CDE
 C.ABE
 D.ABC

 Ans.B


 2.Which of the after is a probable string of
 combinations for
 interviews in 2 successive weeks

 A.ABC;BDE
 B.ABD;ABE
 C.ADE;ABC
 D.BDE;ACD

 Ans.C


 3.If A ,B and D arrive for the interview and D is
 dubbed for
 !no! interview the coming up week,which 2
 hopefuls may be
 questioned to turn up providing D?

 I. A
 II B
 III.C
 IV.E
 A.I and II
 B.I and III only
 C.II and III only
 D.III and IV only

 Ans.D


 4.Which of the subsequent to proper state(s) the
 process trailed by
 the searching committee

 I.After the minute interview all candidates have
 appeared at the very least once
 II.The committee sees every applicant a time time
 III.If a third session,it is probable for all
 candidates to arrive at
 the very least twice

 A.I only
 B.II only
 C.III only
 D.Both I and II

 Ans.A


 43. A assured city is served by subway lines A,B and C
 and rates 1 2
 and 3
 When it snows , afternoon attention on B is delayed
 When it rains or snows , benefits on A, 2 and 3 are
 delayed both in the
 afternoon and afternoon
 When temp. falls beneath 30 levels farenheit afternoon
 advantages is
 cancelled in either the A string or the 3 line,
 but not both.
 When the temperature rises within the duration of 90 quantities farenheit,
 the afternoon
 utility is cancelled in either the string C or the
 3 sequence but not both.
 When the help on the A succession is delayed or
 cancelled, advantages on the
 C string that connects the A line, is delayed.
 When treatment on the 3 succession is cancelled, help on
 the B succession which
 connects the 3 series is delayed.
 Q1. On Jan 10th, surrounded by the temperature at 15 degree
 farenheit, it
 snows all day. On how different lines might assistance be
 affected, as well as both afternoon and afternoon.
 (A) 2
 (B) 3
 (C) 4
 (D) 5
 Ans. D

 Q2. On Aug 15th in on the temperature at 97 degrees
 farenheit it begins
 to rain at 1 PM. What is the lowest number
 of lines on that tool might be affected?
 (A) 2
 (B) 3
 (C) 4
 (D) 5
 Ans. C

 Q3. On that of the subsequent to occasions might service
 be on the
 most massive total number of lines disrupted.
 (A) A snowy Evening provided the temperature at 45
 degree farenheit
 (B) A snowy Evening investing in the temperature at 45 degree
 farenheit
 (C) A rainy morning provided the temperature at 45
 degree farenheit
 (D) A rainy morning provided the temperature at 95
 degree farenheit
 Ans. B

 44. In a a little society, there are two marriage
 groups, red and
 brown. No marriage is permitted over a group. On
 marriage, males
 become half of this wives groups; women stay in
 the own group.
 Children belong to the same bunch as the parents.
 Widowers and
 divorced males revert to the assembly of the birth.
 Marriage to more
 as opposed to one occupant at the same long time and marriage to a
 direct descendant
 are forbidden
 Q1. A black female may suffer had
 I. A grandfather born Red
 II. A grandmother born Red
 III Two grandfathers born Brown
 (A) I only
 (B) III only
 (C) I, II and III
 (D) I and II only
 Ans. D

 Q2. A male born to the black commission may have
 (A) An uncle in either group
 (B) A black daughter
 (C) A black son
 (D) A son-in-law born to red group
 Ans. A

 Q3. Which of the coming is not permitted underneath the
 regulations as stated.
 (A) A black male marrying his father's sister
 (B) A red female marrying her mother's brother
 (C) A widower marrying his wife's sister
 (D) A widow marrying her divorced daughter's
 ex-husband
 Ans. B

 Q4. If widowers and divorced males retained their
 board properties had upon
 marrying that of the imminent might be permissible (
 Assume the present no
 original marriage occurred)
 (A) A woman marrying her dead sister's husband
 (B) A woman marrying her divorced daughter's
 ex-husband
 (C) A widower marrying his brother's daughter
 (D) A woman marrying her mother's doggy who is a
 widower.
 Ans. D

 Q5. I. All G's are H's
 II. All G's are J's or K's
 III All J's and K's are G's
 IV All L's are K's
 V All N's are M's
 VI No M's are G's
 45. There are six steps such a make based on what i read in the earliest to
 the minute floor.
 No two everybody can be on the same step
 Mr. A is two steps underneath Mr. C
 Mr. B is a phase coming to Mr. D
 Only one evolution is vacant ( No one standing on who step
 )
 Denote the principally evolution by phase 1 and minute stage by
 evolution 2 etc.
 1. If Mr. A is on the primarily step, Which of the
 upcoming is true?
 (a) Mr. B is on the moment step
 (b) Mr. C is on the fourth step.
 (c) A body Mr. E, would be on the third step
 (d) Mr. D is on even greater stage as opposed to Mr. C.
 Ans: (d)
 2. If Mr. E was on the third evolution & Mr. B was on a
 better stage than
 Mr. E that evolution should be vacant
 (a) stage 1
 (b) stage 2
 (c) phase 4
 (d) evolution 5
 (e) stage 6
 Ans: (a)
 3. If Mr. B was on stage 1, that evolution would A be on?
 (a) 2&e only
 (b) 3&5 only
 (c) 3&4 only
 (d) 4&5 only
 (e) 2&4 only
 Ans: (c)
 4. If there got two steps between the phase who A was
 standing and
 the stage the present B was standing on, and A was on a higher
 phase as opposed to D , A
 ought to be on step
 (a) 2
 (b) 3
 (c) 4
 (d) 5
 (e) 6
 Ans: (c)

 5. Which of the in the wake of is false

 i. B&D can be both on odd-numbered steps in one
 configuration
 ii. In a exact configuration A and C have got to either
 both an odd
 numbered steps or both an even-numbered steps
 iii. A old client E can be on a stage approaching to the vacant
 step.
 (a) i only
 (b) ii only
 (c) iii only
 (d) both i and iii
 Ans: (c)

 46. Six swimmers A, B, C, D, E, F vie in a race.
 The outcome is as
 follows.
 i. B performs not win.
 ii. Only two swimmers separate E & D
 iii. A is behind D & E
 iv. B is in the future of E , through one swimmer intervening
 v. F is a operate of D
 1. Who stood fifth in the race ?
 (a) A
 (b) B
 (c) C
 (d) D
 (e) E
 Ans: (e)
 2. How a large number of swimmers seperate A and F ?
 (a) 1
 (b) 2
 (c) 3
 (d) 4
 (e) cannot be determined
 Ans: (d)
 3. The swimmer between C & E is
 (a) none
 (b) F
 (c) D
 (d) B
 (e) A
 Ans: (a)


 4. If the end of the race, swimmer D is disqualified
 by the Judges
 consequently swimmer B finishes in that place
 (a) 1
 (b) 2
 (c) 3
 (d) 4
 (e) 5
 Ans: (b)
 47. Five residences lettered A,B,C,D, & E are erected in a
 row imminent to each
 other. The residence are lined up in the condition A,B,C,D, &
 E. Each of the
 uni property has a colored chimney. The roof and
 chimney of each
 housemust be painted as follows.
 i. The roof should be painted either green,red ,or
 yellow.
 ii. The chimney have to be painted either white, black,
 or red.
 iii. No piece of real estate may undergo the same color chimney as the
 color of roof.
 iv. No residential structure may use any of the same shades overly the
 each approaching house
 uses.
 v. House E has a red roof.
 vi. House B has a red roof and a brown chimney
 1. Which of the coming is real ?
 (a) At the very least two real estate hold brown chimney.
 (b) At lowest two residence experience red roofs.
 (c) At minimum two homes experience grey chimneys
 (d) At lowest two homes undergo red roofs
 (e) At the very least two residence hold purple roofs
 Ans: (c)
 2. Which are required to be false ?
 (a) House A has a purple roof
 (b) House A & C own several color chimney
 (c) House D has a brown chimney
 (d) House E has a grey chimney
 (e) House B&D undergo the same color roof.
 Ans: (b)
 3. If property C has a blue roof. Which have got to be true.
 (a) House E has a grey chimney
 (b) House E has a brown chimney
 (c) House E has a red chimney
 (d) House D has a red chimney
 (e) House C has a brown chimney
 Ans: (a)
 4. Which accomplishable combinations of roof & chimney can
 house
 I. A red roof 7 a brown chimney
 II. A green roof & a red chimney
 III. A purple roof & a brown chimney

 (a) I only
 (b) II only
 (c) III only
 (d) I & II only
 (e) I&II&III
 Ans: (e)
 48. Find x+2y
 (i). x+y=10
 (ii). 2x+4y=20
 Ans: (b)


 49. Is angle BAC is a ideal angle
 (i) AB=2BC
 (2) BC=1.5AC
 Ans: (e)
 50. Is x greater as opposed to y
 (i) x=2k
 (ii) k=2y
 Ans: (e)