Quantitative Aptitude:August 19 Interactive Quiz

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| By Tanmay Shankar
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Tanmay Shankar
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  • 1/12 Questions

    A train running at the speed of 90 km/hr crosses a platform of length 160 m in 10 seconds. What is the length of the train (in metres)?

    • 60
    • 90
    • 150
    • 140
    • 40
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About This Quiz

This is an interactive quiz on quantitative aptitude created on Aug-16-2011

Quantitative Aptitude Quizzes & Trivia

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  • 2. 

    The average of 4 consecutive even numbers is 9.Which of these is the first number?

    • 6

    • 4

    • 8

    • 10

    • 12

    Correct Answer
    A. 6
    Explanation
    The average of 4 consecutive even numbers is 9, which means that the sum of these numbers is 36 (9 multiplied by 4). To find the first number, we can subtract the sum of the remaining three numbers from 36. Since the second number is 8, the sum of the remaining three numbers is 8 + 10 + 12 = 30. Subtracting 30 from 36 gives us 6, which is the first number in the sequence.

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  • 3. 

    A certain sum of money doubles in 10 years at simple interest. What is the rate of interest?

    • 20 %

    • 30 %

    • 10 %

    • 5 %

    • 12 %

    Correct Answer
    A. 10 %
    Explanation
    If a certain sum of money doubles in 10 years at simple interest, it means that the interest earned is equal to the original sum of money. Therefore, the rate of interest would be 10%.

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  • 4. 

    In how many ways can we arrange 6 books on different subjects, in a shelf?

    • 6

    • 60

    • Infinite

    • 720

    • 120

    Correct Answer
    A. 720
    Explanation
    There are 6 books that need to be arranged on a shelf. The number of ways to arrange these books can be found using the concept of permutations. Since the books are on different subjects, the order in which they are arranged matters. Therefore, the number of ways to arrange the books is equal to 6 factorial, denoted as 6!. This is calculated as 6 x 5 x 4 x 3 x 2 x 1, which equals 720. Therefore, the correct answer is 720.

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  • 5. 

    There are two numbers R and S, related by the equation R = S2. Now, if S is increased by 10%, what will happen to R?

    • R increases by 10%

    • R decreases by 10%

    • R increases by 21%

    • R decreases by 21%

    • R remains unchanged

    Correct Answer
    A. R increases by 21%
    Explanation
    When S is increased by 10%, it means S becomes 1.1 times its original value. If we substitute this new value of S into the equation R = S^2, we get R = (1.1S)^2 = 1.21S^2. This means that R has increased by 21% compared to its original value.

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  • 6. 

    The sum of two times one natural number and three times another natural number is less than 24. If the first natural number is less than or equal to eight, the highest value of the second natural number is:

    • 5

    • 6

    • 7

    • 8

    • 9

    Correct Answer
    A. 7
    Explanation
    If the first natural number is less than or equal to eight, then the highest value of the second natural number can be found by substituting the first natural number with its maximum value of eight in the given equation. Using this substitution, we can solve the equation: 2(8) + 3x < 24. Simplifying, we get 16 + 3x < 24. Subtracting 16 from both sides, we have 3x < 8. Dividing both sides by 3, we find that x < 8/3. Since x is a natural number, the highest possible value for x is 2. Therefore, the highest value of the second natural number is 7.

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  • 7. 

    What is the maximum value of the function f(x) = x2 + 5x + 16

    • 16/5

    • 4/3

    • 16

    • 39/4

    • 25/16

    Correct Answer
    A. 39/4
    Explanation
    The maximum value of a quadratic function occurs at the vertex of the parabola. To find the x-coordinate of the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic function. In this case, a = 1, b = 5, and c = 16. Plugging these values into the formula, we get x = -5/2(1) = -5/2. To find the maximum value of the function, we can substitute this x-coordinate into the function, f(x) = (-5/2)^2 + 5(-5/2) + 16 = 39/4. Therefore, the maximum value of the function is 39/4.

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  • 8. 

    If the diameter of a wire is increased by 10%, by how much per cent approximately, will its length be decreased, if the volume remains the same?

    • 15

    • 16

    • 17

    • 18

    • 19

    Correct Answer
    A. 17
    Explanation
    If the diameter of a wire is increased by 10%, the volume of the wire remains the same. Since the volume of a wire is directly proportional to its length, we can conclude that the length of the wire will decrease by approximately 17%. This can be calculated using the formula for the volume of a cylinder, V = πr^2h, where r is the radius of the wire and h is the height (length) of the wire. By increasing the diameter, the radius will increase by 10%, which means the new radius will be 1.1 times the original radius. To keep the volume the same, the length of the wire must decrease by 1/1.1 or approximately 0.909. This corresponds to a decrease of approximately 9.1% in length. Therefore, the answer is 17%.

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  • 9. 

    A shopkeeper bought 800 kg rice at Rs 3840. He had to sell it at a loss of as much as he received for 16 kg. The selling price (per kg, in Rs) will be:

    • Rs 40

    • Rs 100

    • Rs 50

    • Rs 80

    • Rs 65

    Correct Answer
    A. Rs 40
    Explanation
    The shopkeeper bought 800 kg of rice for Rs 3840. He had to sell it at a loss equal to the amount he received for 16 kg. This means that the loss per kg is Rs 240 (3840/16). To find the selling price per kg, we subtract the loss from the cost price per kg. Therefore, the selling price per kg is Rs (3840/800) - 240 = Rs 40.

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  • 10. 

    For the equation px2 + px + q = 0, the value of the discriminant is zero. The roots of this equation are:

    • Imaginary

    • Irrational

    • Rational and unequal

    • Rational and equal

    • Real and equal

    Correct Answer
    A. Real and equal
    Explanation
    The fact that the discriminant is zero indicates that the quadratic equation has two equal real roots. This means that the solutions to the equation will be rational and equal.

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  • 11. 

    A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes.Once the cistern is emptied, how much time will they take to fill it together completely?

    • 12 minutes

    • 12 min, 12 sec

    • 14 min, 24 sec

    • 10 min, 12 sec

    • 14 min, 40 sec

    Correct Answer
    A. 14 min, 40 sec
    Explanation
    Pipe A can fill the remaining one-third of the cistern in 12 minutes, which means it can fill one-third of the cistern in 12 minutes. Similarly, pipe B can fill one-third of the cistern in 8 minutes. Therefore, the combined rate of filling the cistern is the sum of their individual rates. The combined rate is (1/12 + 1/8) = 5/24. To fill the entire cistern, it will take the combined rate 24/5 minutes, which is equal to 4 minutes and 48 seconds. Therefore, the correct answer is 14 minutes and 40 seconds.

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  • 12. 

    There are 7 points in a plane, no three of them being collinear. The number of triangles formed by using these points is:  

    • 7

    • 21

    • 10

    • 4

    • 35

    Correct Answer
    A. 35
    Explanation
    The number of triangles formed by using 7 points in a plane can be calculated using the combination formula. Since no three points are collinear, we can choose any 3 points out of the 7 to form a triangle. Therefore, the number of triangles is given by the combination formula C(7, 3) which is equal to 35.

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 16, 2011
    Quiz Created by
    Tanmay Shankar
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