# 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 “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.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 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.
(iii) Some roses 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.