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General Aptitude Test 5
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General Aptitude Test 5
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  • Question 1/10
    1 / -0

    All professors are researchers

    Some scientists are professors

    Which of the given conclusions is logically valid and is inferred from the above arguments:

    Solutions

    Solving by Venn diagrams.

    All professors are researchers

    Now, some scientists are professors

    So, from Venn diagram it is true that some researchers are scientists. No other conclusions follow.

  • Question 2/10
    1 / -0

    If F = 7, H = 343, J = 16807 then I + G = _______.
    Solutions

    7

    ?

    343

    ?

    1607

    F

    G

    H

    I

    J

    71 = 3

    72 = 49

    73 = 343

    74 = 2401

    75 = 16807

     

    I + G = 49 + 2401 = 2450

  • Question 3/10
    1 / -0

    Four archers P, Q, R and S try to hit a bull’s eye during a tournament consisting of seven rounds. As illustrated in the figure below, a player receives 10 points for hitting the bulls’ eye, 5 points for hitting within the inner circle and 1 point for hitting within the outer circle.

    The final scores received by the players during the tournament are listed in the table below.

    Round

    P

    Q

    R

    S

    1

    1

    5

    1

    10

    2

    5

    10

    10

    1

    3

    1

    1

    1

    5

    4

    10

    10

    1

    1

    5

    1

    5

    5

    10

    6

    10

    5

    1

    1

    7

    5

    10

    1

    1

     

    The most accurate and the most consistent players during the tournament are respectively

    Solutions

    From the given table, we can formulate the below table.

    Player

    No of 1’s scored

    No of 5’s scored

    No of 10’s scored

    P

    3

    2

    2

    Q

    1

    3

    3

    R

    5

    1

    1

    S

    4

    1

    2

     

    From the above table, it is clear that the player Q got the 10 and 5 points, the greatest number of times compared to others. Therefore, the player Q is most accurate.

    The player R hit outside circle 5 times out of 7 rounds. Therefore, the plater R is most consistent.

    Note: Consistency does not confirm the accuracy.
  • Question 4/10
    1 / -0

    The following pie chart shows the percentage distribution of runs scored by a batsman in a Test inning.

    If has batsman has scored a total of 306 runs, how many 4s and 6s did he hit?

    Solutions

    Given that the total number of runs scored by the batsman is 306.

    From the given pie chart, the total number of runs scored by hitting only 4’s is:

    43.24% of 306.

    =43.14100×306

    = 132 runs

    The number of 4’s hit will be:

    n(fours) =1324=33

    Similarly, the total number runs scored by 6’s will be:

    3.92% of 306

    =3.92100×306

    = 12

    ∴ The number of 6’s hit will be:

    n(sixes) =126=2

    ∴ 33 fours and 2 sixes were hit by the batman.

  • Question 5/10
    1 / -0

    A shaving set company sells 4 different type of razors. Elegance, Smooth, Soft and Exceutive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.

    Quarter/Product

    Elegance

    Smooth

    Soft

    Executive

    Q1

    27300

    20009

    17602

    9999

    Q2

    25222

    19392

    18445

    8942

    Q3

    28976

    22429

    19544

    10234

    Q4

    21012

    18229

    16595

    10109

     

    Which product contributes the greatest fraction to the revenue of the company in that year?

    Solutions

    Quarter/Product

    Elegance

    Smooth

    Soft

    Executive

    Q1

    27300

    20009

    17602

    9999

    Q2

    25222

    19392

    18445

    8942

    Q3

    28976

    22429

    19544

    10234

    Q4

    21012

    18229

    16595

    10109

    Total Sale

    102510

    80059

    72186

    39284

    Total revenue

    4920480

    5043717

    5630508

    6796132

     

    From the revenue numbers it is clear that the maximum revenue is by sale of executive type razor.

  • Question 6/10
    1 / -0

    If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as
    Solutions

    A prime number on division by 4 gives a remainder of 1

    Let the prime number is x.

    Now, we can express the number as

    x = 4n + 1

    Let us consider the prime numbers that satisfies the above equation i.e. x = 5, 13, 17, 29, 37, 41, 53, …

    x = 5 = 12 + 22

    x = 13 = 22 + 32

    x = 17 = 12 + 42

    x = 29 = 22 + 52

    x = 37 = 12 + 62

    x = 41 = 42 + 52

    x = 53 = 22 + 72

    Therefore, x can be expressed as the sum of squares of two natural numbers.
  • Question 7/10
    1 / -0

    In a school, 60% of students play cricket. A student who does not play cricket, plays football. Every football player has got a two-wheeler. Which of the following conclusions cannot be drawn from the above data?

    1. 60% of the students do not have two-wheelers

    2. No cricketer has a two-wheeler

    3. Cricket players do not play football

    Select the correct answer using the code given below:
    Solutions

    In a school, 60% of students play cricket.

    A student who does not play cricket, plays football.

    Every football player has got a two-wheeler.

    1. 60% of the students do not have two-wheelers: Every football player has got a two-wheeler. It doesn’t mean that the students who play cricket don’t have two-wheelers. So, it is not definitely true.

    2. No cricketer has a two-wheeler: Every football player has got a two-wheeler. It doesn’t mean that the students who play cricket don’t have two-wheelers. So, it is not definitely true.

    3. Cricket players do not play football: In a school, 60 % of students play cricket. A student who does not play cricket, plays football. But there is no information about whether the students playing cricket plays football or not. So, it is not definitely true.

    So, we cannot draw any conclusion from the given data.
  • Question 8/10
    1 / -0

    A traveller to the town reaches a crossroad. Upon asking residents A, B and C for directions to a certain destination, he gets the following responses.

    A: turn left

    B: do not turn left

    C: go straight

    If only one among A, B and C is truthful, the traveller
    Solutions

    Given that only one among A, B and C is truthful.

    Case 1: A is truthful

    A: turn left → it means we need to turn left

    B: do not turn left → it means we need to turn left

    C: go straight → it means we need to turn left or right

    Conclusion: A is truthful, and we need to turn left

    Case 2: B is truthful

    A: turn left → it means we need to turn right or go straight

    B: do not turn left → it means we need to turn right or go straight

    C: go straight → it means we need to turn left or right

    Conclusion: B is truthful, and we need to turn right

    Case 3: C is truthful

    A: turn left → it means we need to turn right or go straight

    B: do not turn left → it means we need to turn left

    C: go straight → it means we need to go straight

    Conclusion: The statements are contradicting each other and hence the C is not truthful.

    Final conclusion: As it satisfies first two cases, he will not be able to decide between going left or right.
  • Question 9/10
    1 / -0

    The quality of services delivered by a company consists of six factors as shown below in the radar diagram. The dots in the figure indicate the score for each factor on a scale of 0 to 10. The standardized coefficient for each factor is given in the parentheses. The contribution of each factor to the overall service quality is directly proportional to the factor score and its standardized coefficient.

    The lowest contribution among all the above factors to the overall quality of services delivered by the company is

    Solutions

    Factor

    Contribution factor

    Standardized coefficient

    Score after standardization

    Outcome

    6

    0.8

    4.8

    Tangibles

    5

    0.4

    2.0

    Reliability

    6

    0.7

    4.2

    Responsiveness

    6

    0.6

    3.6

    Empathy

    4

    0.6

    2.4

    Assurance

    6

    0.5

    3.0

     

    Overall quality score = 4.8 + 2.0 + 4.2 + 3.6 + 2.4 + 3.0 = 20

    From the above table, the lowest contribution is from tangibles among all the above factors to the overall quality of services.

    Now, the lowest contribution among all the above factors to the overall quality of services delivered by the company is =220×100=10%

  • Question 10/10
    1 / -0

    The pie-chart shows the percentage of people in a city A working in night shifts from various industries.

    Total number of people working in night shift is 60000

    The table shows the percentage of females working in night shifts for the respective industries.

    Industry

    Females

    IT

    20%

    Gaming(G)

    20%

    Call Centre(CC)

    45%

    Sales(S)

    60%

    Banking(B)

    40%

    Chemical Industries(CI)

    15%

     

    How many women are working in night shifts considering all the industries together?

    Solutions

    Female in IT industry = 60000×20100×12100=1440

    Female in Gaming Industry = 60000×20100×18100=2160

    Female in Call Centre Industry = 60000×45100×32100=8640

    Female in Sales Industry = 60000×60100×8100=2880

    Female in Banking Industry = 60000×40100×14100=3360

    Female in Chemical Industry = 60000×15100×16100=1440

    Total Females = 19920
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