# trainee5's blog

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are
(A) stairs, stares

(B) stairs, stairs
(C) stares, stairs

(D) stares, stares

Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is
(A) rational

(B) reasonable

(C) errant

(D) good

Q.4 The area of an equilateral triangle is √3. What is the perimeter of the triangle?
(A) 2

(B) 4

(C) 6

(D) 8

Q.5 Arrange the following three-dimensional objects in the descending order of their volumes:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?
(A) 72

(B) 73

(C) 74

(D) 75

Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?
(A) 20

(B) 48

(C) 60

(D) 72

Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
(A) 30,000

(B) 2,70,000

(C) 3,90,000

(D) 4,20,000

Q.9 If x2 + x − 1 = 0 what is the value of x4 + 1/x?

(A) 1

(B) 5

(C) 7

(D) 9

Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “From where are they bringing their books? ________ bringing _______ books from _____.” The words that best fill the blanks in the above sentence are
(A) Their, they’re, there
(B) They’re, their, there
(C) There, their, they’re
(D) They’re, there, there

Q.2 “A _________ investigation can sometimes yield new facts, but typically organized ones are more successful.” The word that best fills the blank in the above sentence is
(A) meandering

(B) timely

(C) consistent

(D) systematic

Q.3 The area of a square is d. What is the area of the circle which has the diagonal of the square as its diameter?
(A) πd

(B) πd2

(C) 1/4πd2

(D) 1/2πd

Q.4 What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?
(A) 3047

(B) 6047

(C) 7987

(D) 63847

Q.5 What is the missing number in the following sequence?
2, 12, 60, 240, 720, 1440, _____, 0

(A) 2880

(B) 1440

(C) 720

(D) 0

Q. 6 – Q. 10 carry two marks each.

Q.6 In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?
(A) 1,50,000

(B) 2,00,000
(C) 1,75,000

(D) 1,51,000

Q.7 If pqr ≠ 0 and p−x =1/q, q−y =1/r, r−z =1/p, what is the value of the product xyz?

(A) −1

(B) 1/pqr

(C) 1

(D) pqr

Q.8 In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?
(A) 2:3

(B) 1:1

(C) 3:2

(D) 2:1

Q.9 In the figure below, ∠DEC + ∠BFC is equal to ____________ .

Q.10 A six sided unbiased die with four green faces and two red faces is rolled seven times.
Which of the following combinations is the most likely outcome of the experiment?

(A) Three green faces and four red faces.
(B) Four green faces and three red faces.
(C) Five green faces and two red faces.
(D) Six green faces and one red face.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task.”The words that best fill the blanks in the above sentence are
(A) principle, principal

(B) principal, principle
(C) principle, principle

(D) principal, principal

Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need.”The word that best fills the blank in the above sentence is
(A) cleanliness

(B) punctuality

(C) frugality

(D) greatness

Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?
(A) 1

(B) 7

(C) 100

(D) 700

Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters?
(A) 1125

(B) 2250

(C) 2924

(D) 4500

Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?
(A) 63

(B) 72

(C) 81

(D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6 For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?
(A) -3 and 3

(B) -1 and 1

(C) -1 and 3

(D) 1 and 3

Q.7 Given that a and b are integers and a + a 23 is odd, which one of the following statements is correct?
(A) a and b are both odd

(B) a and b are both even
(C) a is even and b is odd

(D) a is odd and b is even

Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
(A) 210 and 140

(B) 162.5 and 187.5
(C) 245 and 130

(D) 175 and 200

Q.9 Which of the following functions describe the graph shown in the below figure?

(A) y = ||x| + 1| − 2 (B) y = ||x| − 1| − 1
(C) y = ||x| + 1| − 1 (D) y = ||x − 1| − 1|

Q.10 Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?

(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “The dress _________ her so well that they all immediately _________ her on her appearance.” The words that best fill the blanks in the above sentence are
(A) complemented, complemented

(B) complimented, complemented
(C) complimented, complimented

(D) complemented, complimented

Q.2 “The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained _________.” The word that best fills the blank in the above sentence is
(A) undiminished

(B) damaged

(C) illegal

(D) uncertain

Q.3 Find the missing group of letters in the following series:
BC, FGH, LMNO, _____
(A) UVWXY

(B) TUVWX

(C) STUVW

(D) RSTUV

Q.4 The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
(A) The circle has the largest area.
(B) The square has the largest area.
(C) The equilateral triangle has the largest area.
(D) All the three shapes have the same area.

(A) -1 (B) 0 (C) 1 (D) 3

Q. 6 – Q. 10 carry two marks each.

Q.6 Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?
(A) 0

(B) 2

(C) 4

(D) 8

Q.7 A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?
(A) 1096

(B) 1111

(C) 1243

(D) 2486

Q.8 A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
(A) 50

(B) 89

(C) 146

(D) 175

Q.9 A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.

i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.

What is the house number?
(A) 54

(B) 65

(C) 66

(D) 76

Q.10 An unbiased coin is tossed six times in a row and four different such trials are conducted.One trial implies six tosses of the coin. If H stands for head and T stands for tail, the
following are the observations from the four trials:

(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
(A) Two T will occur.
(B) One H and one T will occur.
(C) Two H will occur.
(D) One H will be followed by one T.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are
(A) stairs, stares

(B) stairs, stairs
(C) stares, stairs

(D) stares, stares

Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is
(A) rational

(B) reasonable

(C) errant

(D) good

Q.3 For 0 ≤ x ≤ 2π, sin x and cos x are both decreasing functions in the interval ________.

Q.4 The area of an equilateral triangle is √3. What is the perimeter of the triangle?
(A) 2

(B) 4

(C) 6

(D) 8

Q.5 Arrange the following three-dimensional objects in the descending order of their volumes:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?
(A) 72

(B) 73

(C) 74

(D) 75

Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?
(A) 20

(B) 48

(C) 60

(D) 72

Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
(A) 30,000

(B) 2,70,000

(C) 3,90,000

(D) 4,20,000

Q.9 If x2 + x − 1 = 0 what is the value of x4 + 1/x?

(A) 1

(B) 5

(C) 7

(D) 9

Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are
(A) stairs, stares

(B) stairs, stairs
(C) stares, stairs

(D) stares, stares

Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is
(A) rational

(B) reasonable

(C) errant

(D) good

Q.3 For 0 ≤ x ≤ 2π, sin x and cos x are both decreasing functions in the interval ________.

Q.4 The area of an equilateral triangle is √3. What is the perimeter of the triangle?
(A) 2

(B) 4

(C) 6

(D) 8

Q.5 Arrange the following three-dimensional objects in the descending order of their volumes:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?
(A) 72

(B) 73

(C) 74

(D) 75

Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?
(A) 20

(B) 48

(C) 60

(D) 72

Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
(A) 30,000

(B) 2,70,000

(C) 3,90,000

(D) 4,20,000

Q.9 If x2 + x − 1 = 0 what is the value of x4 + 1/x?

(A) 1

(B) 5

(C) 7

(D) 9

Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task.” The words that best fill the blanks in the above sentence are
(A) principle, principal

(B) principal, principle
(C) principle, principle

(D) principal, principal

Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is
(A) cleanliness

(B) punctuality

(C) frugality

(D) greatness

Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?
(A) 1

(B) 7

(C) 100

(D) 700

Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,respectively. During this process, the rectangle loses 650 mof area. What is the area of the original rectangle in square meters?
(A) 1125

(B) 2250

(C) 2924

(D) 4500

Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?
(A) 63

(B) 72

(C) 81

(D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6 For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?
(A) -3 and 3

(B) -1 and 1

(C) -1 and 3

(D) 1 and 3

Q.7 Given that a and b are integers and a + a2 bis odd, which one of the following statements is correct?
(A) a and b are both odd

(B) a and b are both even
(C) a is even and b is odd

(D) a is odd and b is even

Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
(A) 210 and 140

(B) 162.5 and 187.5
(C) 245 and 130

(D) 175 and 200

Q.9 Which of the following functions describe the graph shown in the below figure?

(A) y = ||x| + 1| − 2

(B) y = ||x| − 1| − 1
(C) y = ||x| + 1| − 1

(D) y = ||x − 1| − 1|

Q.10 Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?
(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “Since you have gone off the ________, the _________ sand is likely to damage the car.”The words that best fill the blanks in the above sentence are
(A) course, coarse

## General Aptitude :

Q. 1 – Q. 5 carry one mark each.

Q.1 “By giving him the last ______ of the cake, you will ensure lasting _____ in our house today.”The words that best fill the blanks in the above sentence are
(A) peas, piece (B) piece, peace
(C) peace, piece (D) peace, peas

Q.2 “Even though there is a vast scope for its ________, tourism has remained a/an _________ area.”The words that best fill the blanks in the above sentence are
(A) improvement, neglected
(B) rejection, approved
(C) fame, glum
(D) interest, disinterested

Q.3 If the number 715∎423 is divisible by 3 (∎ denotes the missing digit in the thousandths place), then the smallest whole number in the place of ∎ is _________.
(A) 0

(B) 2

(C) 5

(D) 6

Q.4 What is the value of 1 +1/4+1/16+1/64+1/256+ ⋯?

(A) 2

(B) 7/4

(C) 3/2

(D) 4/3

Q.5 A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?
(A) 1.5

(B) 3

(C) 4.5

(D) 6

Q. 6 – Q. 10 carry two marks each.

Q.6 Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually?
(A) 5,00,000

(B) 6,21,000
(C) 6,66,667

(D) 7,50,000

Q.7 Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is ______.
(A) 5:10

(B) 7:13

(C) 6:11

(D) 9:13

Q.8 The Cricket Board has long recognized John’s potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans, it has taken a toll on his own batting. Until recently, it appeared that he found it difficult to convert his aggression into big scores. Over the past three seasons though, that picture of John has been replaced by a cerebral, calculative and successful batsman-captain. After many years, it appears that the team has finally found a complete captain.

Which of the following statements can be logically inferred from the above paragraph?
(i) Even as a junior cricketer, John was considered a good captain.
(ii) Finding a complete captain is a challenge.
(iii) Fans and the Cricket Board have differing views on what they want in a captain.
(iv) Over the past three seasons John has accumulated big scores.

(A) (i), (ii) and (iii) only
(B) (iii) and (iv) only
(C) (ii) and (iv) only
(D) (i), (ii), (iii) and (iv)

Q.9 A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident.
(i) 85% of cabs in the city are green and the remaining cabs are blue.
(ii) A witness identified the cab involved in the accident as blue.
(iii) It is known that a witness can correctly identify the cab colour only 80% of the time.
Which of the following options is closest to the probability that the accident was caused by a blue cab?
(A) 12%

(B) 15%

(C) 41%

(D) 80%

Q.10 A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A company has spotted the opportunity and is planning to develop a luxury resort with helicopter service to the nearest major city airport. Environmentalists are upset that this would lead to the region becoming crowded and polluted like any other major beach resorts.

Which one of the following statements can be logically inferred from the information given in the above paragraph?
(A) The culture and tradition of the local people will be influenced by the tourists.
(B) The region will become crowded and polluted due to tourism.
(C) The coral reefs are on the decline and could soon vanish.
(D) Helicopter connectivity would lead to an increase in tourists coming to the region.