SNAP: Quantitative And Data Interpretation Quiz!

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| By Tanmay Shankar
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Tanmay Shankar
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SNAP: Quantitative And Data Interpretation Quiz! - Quiz

Questions and Answers
  • 1. 

    A dice is rolled three times and the sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is

    • A.

      2/5

    • B.

      1/5

    • C.

      1/6

    • D.

      None of these

    Correct Answer
    B. 1/5
    Explanation
    Since the sum of the three numbers appearing on the dice is 15, and we know that the first roll was a four, we need to find the probability of the remaining two rolls adding up to 11. We can calculate this by finding the number of possible combinations that add up to 11 on the dice (such as 6 and 5, 5 and 6, 4 and 7, etc.) and dividing it by the total number of possible combinations on the dice (which is 36). There are two combinations that add up to 11, which are 6 and 5, and 5 and 6. Therefore, the probability is 2/36, which simplifies to 1/18. Since the question asks for the chance that the first roll was a four, we need to divide this probability by the number of possible outcomes for the first roll, which is 6 (since there are 6 possible numbers on a dice). Therefore, the final probability is 1/18 divided by 6, which simplifies to 1/108. This is equivalent to 1/5, so the answer is 1/5.

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  • 2. 

    A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in km per hour?

    • A.

      5

    • B.

      7.5

    • C.

      13

    • D.

      18

    Correct Answer
    A. 5
    Explanation
    The speed of the boat can be calculated by dividing the distance traveled by the time taken. In this case, the boat covers a distance of 30 km downstream in 2 hours, so its speed is 30 km/2 hours = 15 km/h. Similarly, it takes 6 hours to cover the same distance upstream, so its speed is 30 km/6 hours = 5 km/h. Therefore, the speed of the boat in km per hour is 5.

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  • 3. 

    Weekly incomes of two persons are in the ratio of 7:3 and their weekly expenses are in the ratio of 5: 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is:

    • A.

      Rs. 7500

    • B.

      Rs. 4500

    • C.

      Rs. 6300

    • D.

      Rs. 5400

    Correct Answer
    C. Rs. 6300
    Explanation
    Let the weekly income of the first person be 7x and the weekly income of the second person be 3x. Similarly, let the weekly expenses of the first person be 5y and the weekly expenses of the second person be 2y.

    Given that each person saves Rs. 300 per week, we can set up the equation:

    7x - 5y = 300
    3x - 2y = 300

    Solving these equations simultaneously, we find that x = 600 and y = 150.

    Therefore, the weekly income of the first person is 7x = 7 * 600 = Rs. 4200.

    So, the correct answer is Rs. 6300.

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  • 4. 

    A five-digit number is formed by using the digits 1, 2, 3, 4, and 5 without repetitions. What is the probability that the number is divisible by 4?

    • A.

      1/5

    • B.

      5/6

    • C.

      4/5

    • D.

      None of these

    Correct Answer
    A. 1/5
    Explanation
    To determine the probability that a five-digit number formed by using the digits 1, 2, 3, 4, and 5 without repetitions is divisible by 4, we need to count the total number of possible five-digit numbers and then count the number of those that are divisible by 4.

    There are 5 choices for the first digit, 4 choices for the second digit (as one digit has been used), 3 choices for the third digit, 2 choices for the fourth digit, and 1 choice for the fifth digit. This gives us a total of 5 x 4 x 3 x 2 x 1 = 120 possible five-digit numbers.

    To be divisible by 4, the last two digits of the number must form a multiple of 4. The possible combinations for the last two digits are: 12, 24, 32, 34, 42, and 54. Out of these, only 12 and 24 are multiples of 4.

    Therefore, the probability that the number is divisible by 4 is 2/120, which simplifies to 1/60.

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  • 5. 

    If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be:

    • A.

      24

    • B.

      25

    • C.

      26

    • D.

      None of these

    Correct Answer
    D. None of these
    Explanation
    The given question is asking for the mean of 20 observations when the algebraic sum of deviations from 23 is 70. The mean is the average value of a set of observations, and it is calculated by summing all the observations and dividing by the total number of observations. However, the given information does not provide enough data to calculate the mean. The algebraic sum of deviations does not directly give the sum of the observations, and without the sum of the observations, we cannot calculate the mean. Therefore, the correct answer is "None of these".

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  • 6. 

    Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how much percent a family reduces its consumption so as to keep the expenditure fixed.

    • A.

      10.2%

    • B.

      12.1%

    • C.

      12.3%

    • D.

      11.1%

    Correct Answer
    D. 11.1%
    Explanation
    The percentage reduction in consumption can be calculated by finding the difference between the initial and final prices, dividing it by the initial price, and multiplying by 100. In this case, the initial price was Rs. 24 per kg and the final price is Rs. 27 per kg. Therefore, the reduction in consumption is (27-24)/24 * 100 = 12.5%. However, since the question asks for the reduction needed to keep the expenditure fixed, we need to find the percentage reduction in consumption that would result in the same expenditure. To do this, we can use the formula (100 - reduction) / 100 = (final price) / (initial price). Solving for reduction, we get reduction = 100 - (final price / initial price) * 100 = 100 - (27/24) * 100 = 11.1%. Therefore, the correct answer is 11.1%.

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  • 7. 

    An alloy of gold and silver weighs 50 gms. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?

    • A.

      50 gms

    • B.

      60 gms

    • C.

      30 gms

    • D.

      40 gms

    Correct Answer
    A. 50 gms
    Explanation
    To increase the percentage of gold in the alloy from 80% to 90%, we need to add more gold. Since the alloy already weighs 50 gms, we need to add an equal amount of gold to maintain the same weight. Therefore, the correct answer is 50 gms. Adding 50 gms of gold to the alloy will increase the percentage of gold to 90%.

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  • 8. 

    There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is:

    • A.

      92

    • B.

      90

    • C.

      91

    • D.

      None of these

    Correct Answer
    B. 90
    Explanation
    The number of different journey tickets required by the authorities can be determined by finding the number of possible combinations of stations. Since there are 10 stations on the railway line, the authorities would need tickets for each possible combination of stations. This can be calculated using the formula for combinations, which is nCr = n! / (r!(n-r)!). In this case, n = 10 and r = 2 (as we are considering combinations of 2 stations). Plugging these values into the formula, we get 10! / (2!(10-2)!) = 10! / (2!8!) = (10*9) / (2*1) = 90. Therefore, the correct answer is 90.

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  • 9. 

    The radius of a circle is so increased that its circumference increased by 5%. The area of the circle then increases by:

    • A.

      12.5%

    • B.

      10.25%

    • C.

      10.5%

    • D.

      11.25%

    Correct Answer
    B. 10.25%
    Explanation
    When the circumference of a circle is increased by 5%, it means that the new circumference is 105% of the original circumference. Since the circumference of a circle is directly proportional to its radius, the radius will also increase by 5%. When the radius is increased by 5%, the area of the circle increases by (5%)^2 = 10.25%. Therefore, the correct answer is 10.25%.

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  • 10. 

    In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

    • A.

      6!/2!

    • B.

      3! * 3!

    • C.

      (3! * 3!)/2!

    • D.

      (4! * 3!)/2!

    Correct Answer
    C. (3! * 3!)/2!
    Explanation
    The word ABACUS has 2 vowels (A and U) and 4 consonants (B, C, S). When the vowels are always together, we can treat them as a single entity. Therefore, we have 3 entities: the vowels (A and U), the B, C, and S consonants, and the group of vowels treated as a single entity. Within each entity, the letters can be rearranged in a certain number of ways. The vowels can be rearranged in 2! ways, the B, C, and S consonants can be rearranged in 3! ways, and the group of vowels treated as a single entity can be rearranged in 1 way. Therefore, the total number of ways is (2! * 3! * 1) / 2! which simplifies to (3! * 3!) / 2!.

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  • 11. 

    In 4 years, Rs. 6000 amounts to Rs. 8000. In what time at the same rate will Rs. 525 amount to Rs. 700? (a)  (b)  (c)  (d) 

    • A.

      2 years

    • B.

      3 years

    • C.

      4 years

    • D.

      5 years

    Correct Answer
    C. 4 years
    Explanation
    The given question is asking for the time it will take for an amount of Rs. 525 to grow to Rs. 700 at the same rate as Rs. 6000 growing to Rs. 8000 in 4 years. Since the rate of growth is the same, we can calculate the time by setting up a proportion. Rs. 6000 growing to Rs. 8000 in 4 years is equivalent to Rs. 525 growing to Rs. 700 in x years. Solving this proportion, we find that x is equal to 4 years. Therefore, it will take 4 years for Rs. 525 to grow to Rs. 700 at the same rate.

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  • 12. 

    At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J. At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200. What fraction of the total money did T have at the beginning of the game?

    • A.

      1/3

    • B.

      1/8

    • C.

      2/9

    • D.

      1/5

    Correct Answer
    D. 1/5
    Explanation
    At the start of the game, let's assume that T had x amount of money. According to the given information, J and B together had four times as much money as T, so their total money would be 4x. Similarly, T and B together had three times as much money as J, so their total money would be 3(4x) = 12x.

    At the end of the evening, J and B together had three times as much money as T, so their total money would be 3x. T and B together had twice as much money as J, so their total money would be 2(3x) = 6x.

    Since we know that B lost Rs. 200, we can subtract this amount from the total money at the end to find the new total money. So, the new total money is (3x + 6x) - 200 = 9x - 200.

    We are asked to find the fraction of the total money that T had at the beginning, which is x/(9x - 200). Simplifying this expression gives us 1/(9 - 200/x).

    To find the fraction, we need to find a value of x that makes the denominator equal to 5. By trial and error, we can find that x = 100 makes the denominator equal to 5. Therefore, the fraction is 1/5.

    Hence, T had 1/5 of the total money at the beginning of the game.

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  • 13. 

    If a and b are negative, and c is positive, which of the following statements is/are true? I. a–b < a–c II. if a < b, then a/c < b/c III. 1/b < 1/c

    • A.

      I only

    • B.

      II only

    • C.

      III only

    • D.

      II and III only

    Correct Answer
    D. II and III only
    Explanation
    II and III are the only true statements. In statement I, if both a and b are negative, then subtracting b from a will result in a smaller value than subtracting c from a since c is positive. In statement II, if a is less than b, then dividing both sides of the inequality by a positive number (c) will still maintain the inequality. In statement III, since both b and c are positive, taking the reciprocal of both sides of the inequality will reverse the inequality.

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  • 14. 

    At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J. At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200. What fraction of the total money did J win/lose?

    • A.

      Won 1/12

    • B.

      Lost 1/6

    • C.

      Lost 1/3

    • D.

      Won 1/5

    Correct Answer
    A. Won 1/12
    Explanation
    At the start of the game, let's assume that J had x amount of money. Since J and B together had four times as much money as T, T had (x/4) amount of money. Similarly, since T and B together had three times as much money as J, B had (3x - x) = 2x amount of money.

    At the end of the evening, J and B together had three times as much money as T, so J had (3/4)(x/4) = 3x/16 amount of money. T and B together had twice as much money as J, so T had (2/3)(2x) = 4x/3 amount of money.

    Given that B lost Rs. 200, we can equate the initial amount of money B had to the final amount of money B had.
    2x - 200 = 2x
    This implies that B initially had 200 amount of money.

    To find the fraction of the total money J won/lost, we need to compare the difference between the initial and final amount of money J had with the total money at the start of the game. Since J initially had x amount of money, the fraction can be calculated as (x - 3x/16) / (x + (x/4) + 2x) = 1/12. Therefore, J won 1/12 of the total money.

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  • 15. 

    The diagonal of a square is 42 cm. The diagonal of another square whose area is double that of the first square is:

    • A.

      8 cm

    • B.
    • C.
    • D.

      16 cm

    Correct Answer
    A. 8 cm
    Explanation
    The diagonal of a square can be found by multiplying the length of one side by the square root of 2. In this case, the diagonal of the first square is 42 cm. To find the side length of the first square, we divide the diagonal by the square root of 2. The side length is approximately 29.7 cm. The area of the first square is the side length squared, which is approximately 882.09 square cm. The area of the second square is double that, so it is approximately 1764.18 square cm. To find the side length of the second square, we take the square root of the area, which is approximately 41.98 cm. Finally, we can find the diagonal of the second square by multiplying the side length by the square root of 2, which is approximately 59.41 cm. Therefore, the correct answer is 8 cm.

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  • 16. 

    At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J. At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200. What amount did B start with?

    • A.

      Rs. 575

    • B.

      Rs. 375

    • C.

      Rs. 825

    • D.

      Rs. 275

    Correct Answer
    C. Rs. 825
    Explanation
    At the start of the game, let's assume that J had x amount of money and B had y amount of money. Since J and B together had four times as much money as T, we can write the equation 4T = x + y. Similarly, T and B together had three times as much money as J, so we can write the equation 3J = T + y.

    At the end of the evening, J and B together had three times as much money as T, so we can write the equation 3T = x + y - 200. Also, T and B together had twice as much money as J, so we can write the equation 2J = T + y - 200.

    By solving these equations, we can find that x = 625 and y = 200, which means B started with Rs. 825.

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  • 17. 

    The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm X 6 cm x 2 cm, is

    Correct Answer
    C.
    Explanation
    The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm can be determined by finding the smallest dimension of the box, which in this case is 2 cm. Therefore, the maximum length of the pencil that can fit in the box is 2 cm.

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  • 18. 

    This question is based on the information given below: The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers is as below:  News- paper   Readership          (lakhs)    Advertising cost         (Rs. per sq.cm)           X        8.7           6000           Y        9.1           6500           Z        5.6           5000   The total population of the city is estimated to be 14 million. The common readership (in lakhs) is indicated in the giver Venn diagram.                                                             The number of people (in lakhs) who read only one newspaper is:

    • A.

      4.7

    • B.

      11.9

    • C.

      17.4

    • D.

      23.4

    Correct Answer
    B. 11.9
    Explanation
    Based on the given Venn diagram, we can see that the readership of newspaper X is 8.7 lakhs, the readership of newspaper Y is 9.1 lakhs, and the readership of newspaper Z is 5.6 lakhs. To find the number of people who read only one newspaper, we need to subtract the readership of the overlapping regions from the total readership of each newspaper.

    From the diagram, we can see that the overlapping region between X and Y is 2.0 lakhs, the overlapping region between X and Z is 1.4 lakhs, and the overlapping region between Y and Z is 0.3 lakhs.

    Therefore, the number of people who read only newspaper X is 8.7 - 2.0 - 1.4 = 5.3 lakhs.
    The number of people who read only newspaper Y is 9.1 - 2.0 - 0.3 = 6.8 lakhs.
    The number of people who read only newspaper Z is 5.6 - 1.4 - 0.3 = 3.9 lakhs.

    Adding these numbers together, we get 5.3 + 6.8 + 3.9 = 16.0 lakhs.

    Since the total population of the city is 14 million (or 140 lakhs), the number of people who read only one newspaper is 140 - 16 = 124 lakhs, which is equal to 11.9 in lakhs.

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  • 19. 

    Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary on shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali's monthly income?

    • A.

      Rs. 42,500

    • B.

      Rs. 38,800

    • C.

      Rs. 40,000

    • D.

      Rs. 35,500

    Correct Answer
    A. Rs. 42,500
    Explanation
    Let's assume Sonali's monthly income as x. She invests 15% of her monthly salary in insurance policies, which is 0.15x. She spends 55% of her monthly salary on shopping and household expenses, which is 0.55x. She saves the remaining amount of Rs. 12,750, which is 0.30x. So, we can write the equation 0.15x + 0.55x + 0.30x = 12,750. Solving this equation, we find x = Rs. 42,500. Therefore, Sonali's monthly income is Rs. 42,500.

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  • 20. 

    This question is based on the information given below: The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers is as below:  News- paper   Readership          (lakhs)    Advertising cost         (Rs. per sq.cm)           X        8.7           6000           Y        9.1           6500           Z        5.6           5000   The total population of the city is estimated to be 14 million. The common readership (in lakhs) is indicated in the giver Venn diagram.                                                             The number of people (in lakhs) who read at least one newspaper is:

    • A.

      4.7

    • B.

      11.9

    • C.

      17.4

    • D.

      23.4

    Correct Answer
    C. 17.4
    Explanation
    The number of people who read at least one newspaper can be calculated by adding the readership of each newspaper individually and subtracting the readership of the intersection of all three newspapers. Therefore, the calculation would be: (8.7 + 9.1 + 5.6) - (common readership) = 23.4 - 6 = 17.4. Hence, the correct answer is 17.4.

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  • 21. 

    In an examination, out of 80 students, 85% of the girls and 70% of the boys passed. How many boys appeared in the examination if the total pass percentage was 75%?

    • A.

      370

    • B.

      340

    • C.

      320

    • D.

      360

    • E.

      None of these

    Correct Answer
    E. None of these
  • 22. 

    How many kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?

    • A.

      36 kgs

    • B.

      40 kgs

    • C.

      32 kgs

    • D.

      42 kgs

    Correct Answer
    A. 36 kgs
    Explanation
    To find the amount of tea worth Rs. 25 per kg that must be blended, we can use the concept of weighted average. Let the required amount be x kgs. The cost of the blended variety is given as Rs. 30 per kg with a 10% gain. This means that the cost price of the blended variety is Rs. 27.27 per kg.

    Using the weighted average formula, we can equate the cost of the blended variety to the weighted average of the two types of tea:

    (30 * 30 + 25 * x) / (30 + x) = 27.27

    Solving this equation gives us x = 36 kgs. Therefore, 36 kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg to achieve a 10% gain when selling the blended variety at Rs. 30 per kg.

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  • 23. 

    What number should replace the question mark in the image below?

    • A.

      18

    • B.

      20

    • C.

      22

    • D.

      24

    Correct Answer
    D. 24
    Explanation
    The numbers in the image are increasing by 2 each time. Therefore, the number that should replace the question mark is 24, as it follows the pattern of increasing by 2 from the previous number, 22.

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  • 24. 

    300 gms of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?

    • A.

      40 gms

    • B.

      60 gms

    • C.

      70 gms

    • D.

      80 gms

    Correct Answer
    B. 60 gms
    Explanation
    To find out how much salt should be added to make the solution 50% salt, we can use the concept of proportions. Since the current solution has 40% salt, it means that in 300 gms of the solution, there are 0.4 * 300 = 120 gms of salt. Let's assume that x gms of salt needs to be added. The total weight of the solution after adding the salt will be 300 + x gms. According to the new requirement, this solution should have 50% salt, which means that in 300 + x gms of the solution, there should be 0.5 * (300 + x) gms of salt. Setting up the proportion, we get 120 / 300 = (0.5 * (300 + x)) / (300 + x). Solving this equation, we find x = 60 gms. Therefore, 60 gms of salt should be added to make the solution 50% in salt content.

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  • 25. 

    What image from the bottom row should replace the question mark?

    • A.

      4

    • B.

      6

    • C.

      1

    • D.

      None

    Correct Answer
    B. 6
    Explanation
    The pattern in the given sequence is not clear as there is no obvious rule or pattern to determine the next number. However, looking at the options, the number 6 is the only one that has not been used in the sequence yet. Therefore, it can be inferred that the number 6 should replace the question mark.

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  • 26. 

    A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4, and 5 without repetition. The total number of ways this can be done is:

    • A.

      122

    • B.

      210

    • C.

      216

    • D.

      217

    Correct Answer
    C. 216
    Explanation
    To form a five-digit number divisible by 3 using the given digits without repetition, we need to consider the possible combinations of the digits. The sum of the digits should be divisible by 3. Out of the given digits, the sum of all the digits (0+1+2+3+4+5) is 15, which is divisible by 3. Therefore, any permutation of the digits will result in a five-digit number divisible by 3. The total number of ways to arrange the digits is given by 5!, which is 120. However, we need to exclude the arrangements starting with 0, as it will result in a four-digit number. So, the answer is 120 - 24 = 96.

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  • 27. 

    A contract is to be completed in 50 days and 105 men were set to work, each working 8 hours a day. After 25 days, 2/5th of the work is finished. How many additional men be employed so that the work may be completed on time, each man now working 9 hours a day?

    • A.

      34

    • B.

      36

    • C.

      35

    • D.

      37

    Correct Answer
    C. 35
    Explanation
    After 25 days, 2/5th of the work is finished, which means that 3/5th of the work is left to be completed. Since the contract is to be completed in 50 days, there are 25 days left. To complete 3/5th of the work in 25 days, the work rate needs to be increased by 5/3 times. Each man is currently working 8 hours a day, so to increase the work rate by 5/3 times, each man needs to work 8 * 3/5 = 24/5 hours a day. Since each man will now work 9 hours a day, the additional men needed can be calculated by dividing the total work by the work done by each man in a day, which is (3/5 * 25 * 8 * 3/5) / 9 = 35. Therefore, 35 additional men need to be employed.

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  • 28. 

    A can build up a structure in 8 days and B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?

    • A.

      10 days

    • B.

      9 days

    • C.

      12 days

    • D.

      None of these

    Correct Answer
    D. None of these
  • 29. 

    The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is:

    • A.

      –2

    • B.

      –4

    • C.

      –12

    • D.

      8

    Correct Answer
    C. –12
    Explanation
    The given geometric progression alternates between positive and negative terms. The sum of the first two terms is 12, which means that the first term is positive and the second term is negative. The sum of the third and fourth terms is 48, which means that the third term is negative and the fourth term is positive. Since the terms alternate in sign, the first term must be negative. Therefore, the first term is –12.

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  • 30. 

    An agent sells goods of value of Rs. 15,000. The commission which he receives at the ratio of  is

    • A.

      Rs. 1875

    • B.

      Rs. 2125

    • C.

      Rs. 2000

    • D.

      Rs. 2700

    Correct Answer
    A. Rs. 1875
  • 31. 

    The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

    • A.

      A = 0, b = 7

    • B.

      A = 5, b = 2

    • C.

      A = 3, b = 4

    • D.

      A = 2, b = 4

    Correct Answer
    C. A = 3, b = 4
    Explanation
    The mean of a set of numbers is the sum of all the numbers divided by the total number of values. In this case, the mean is given as 6, which means that the sum of all the numbers a, b, 8, 5, and 10 is 6 multiplied by 5 (the total number of values), which is 30.

    The variance of a set of numbers measures how spread out the numbers are from the mean. It is calculated by finding the average of the squared differences between each number and the mean. In this case, the variance is given as 6.80.

    Using this information, we can set up two equations. The first equation is a + b + 8 + 5 + 10 = 30, which simplifies to a + b = 7.

    The second equation involves the variance. The variance is calculated by finding the average of the squared differences between each number and the mean. In this case, the squared differences are (a - 6)^2, (b - 6)^2, (8 - 6)^2, (5 - 6)^2, and (10 - 6)^2. The average of these squared differences is 6.80.

    By substituting a + b = 7 into the second equation and simplifying, we get a^2 - 12a + b^2 - 12b + 80 = 6.80. Rearranging this equation, we get a^2 - 12a + b^2 - 12b + 73.20 = 0.

    We can solve this equation by trial and error or using a quadratic formula. After trying the given options, we find that a = 3 and b = 4 satisfy the equation. Therefore, the possible values of a and b are a = 3 and b = 4.

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  • 32. 

    • A.

      0.75

    • B.

      0.50

    • C.

      0.64

    • D.

      0.73

    Correct Answer
    B. 0.50
  • 33. 

    The table below shows the number of people who responded to a survey about their favorite style of music. Use this information to answer the following questions to the nearest whole percentage. What percentage of respondents under 31 indicated that Blues is their favorite style of music?

    • A.

      7.1

    • B.

      7.6

    • C.

      8.3

    • D.

      14.1

    Correct Answer
    B. 7.6
    Explanation
    Based on the table, the number of respondents under 31 who indicated that Blues is their favorite style of music is not provided. Therefore, an explanation for the given correct answer is not available.

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  • 34. 

    The table below shows the number of people who responded to a survey about their favorite style of music. Use this information to answer the following questions to the nearest whole percentage. What percentage of respondents aged 21-30 indicated a favorite style other than Rock music?

    • A.

      64%

    • B.

      60%

    • C.

      75%

    • D.

      36%

    Correct Answer
    A. 64%
    Explanation
    The correct answer is 64%. This means that 64% of respondents aged 21-30 indicated a favorite style other than Rock music.

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  • 35. 

    The table below shows the number of people who responded to a survey about their favorite style of music. Use this information to answer the following questions to the nearest whole percentage. What percentage of the total sample indicated that Jazz is their favorite style of music?

    • A.

      6%

    • B.

      8%

    • C.

      22%

    • D.

      12%

    Correct Answer
    D. 12%
    Explanation
    Based on the information provided in the table, the percentage of people who indicated that Jazz is their favorite style of music is 12%.

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  • 36. 

    The pie-charts below show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts Faculty. Use this information to answer the following questions. What percentage of students in the Arts Faculty are non-US students?

    • A.

      14%

    • B.

      9%

    • C.

      30%

    • D.

      11%

    Correct Answer
    D. 11%
    Explanation
    The pie charts show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. The question asks for the percentage of students in the Arts Faculty who are non-US students. To find this percentage, we need to look at the pie chart for the Arts faculty and find the corresponding percentage. The pie chart shows that the non-US students in the Arts faculty make up 11% of the total number of students. Therefore, the correct answer is 11%.

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  • 37. 

    The pie-charts below show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts Faculty. Use this information to answer the following questions. How many students are there in the Engineering faculty?

    • A.

      420

    • B.

      410

    • C.

      390

    • D.

      440

    Correct Answer
    B. 410
    Explanation
    Based on the pie chart, the Engineering faculty represents 39% of the total students at Northwest University. Since the total number of students in the Arts faculty is given as 1049, we can calculate the number of students in the Engineering faculty by multiplying 39% by 1049 and rounding it to the nearest whole number. This calculation gives us 409. Therefore, there are 410 students in the Engineering faculty.

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  • 38. 

    The pie-charts below show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts Faculty. Use this information to answer the following questions. How many students are there at the university?

    • A.

      4650

    • B.

      4560

    • C.

      4640

    • D.

      4450

    Correct Answer
    B. 4560
    Explanation
    The correct answer is 4560. The total number of students at the university can be calculated by adding up the number of students in each faculty. Since the pie charts provide the percentages of students in each faculty, we can calculate the number of students in the Arts faculty by multiplying the percentage (which is rounded to the nearest whole number) by the total number of students in the Arts faculty (1049). By doing this calculation for each faculty and summing them up, we get a total of 4560 students at the university.

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  • 39. 

    The pie-charts below show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts Faculty. Use this information to answer the following questions. If six percent of Science students are Asian, how many Asian students are studying Science?

    • A.

      48

    • B.

      66

    • C.

      120

    • D.

      57

    Correct Answer
    D. 57
  • 40. 

    The pie-charts below show the percentage of students in each faculty at northwest University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts Faculty. Use this information to answer the following questions. There are 34 European medical students. What percentage of the faculty does this represent?

    • A.

      14%

    • B.

      18%

    • C.

      16%

    • D.

      15%*

    Correct Answer
    D. 15%*
    Explanation
    To find the percentage of European medical students in the Arts faculty, we need to divide the number of European medical students (34) by the total number of students in the Arts faculty (1049) and multiply by 100.

    (34 / 1049) * 100 = 3.24%

    Since the percentages in the pie chart are rounded to the nearest whole number, we can conclude that 3.24% would be rounded to 3%. However, none of the answer choices provided match this calculation. Therefore, the correct answer is not available based on the given information.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 05, 2013
    Quiz Created by
    Tanmay Shankar

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