MAT MATheMATical Skills Free Practice Set

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| By Tanmay Shankar
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Tanmay Shankar
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  • 1/5 Questions

    The difference between the compound interest and the simple interest earned at the end of 3rd year on a sum of money at a rate of 10% per annum is Rs. 77.5. What is the sum?

    • Rs. 3,500
    • Rs. 2,500
    • Rs. 3,000
    • Rs. 2,000
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About This Quiz

The 'MAT Mathematical Skills Free Practice Set' assesses key mathematical competencies through problems on age calculation, election results, interest computation, fund collection, and tank filling. Ideal for learners aiming to enhance their mathematical reasoning and problem-solving skills.

MAT MATheMATical Skills Free Practice Set - Quiz

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  • 2. 

    Ten years ago, Nidhi's mother Sita was 4 times old than her daughter. After 10 years, the mother will be twice older than the daughter. What is the present age of Sita?

    • 40 years

    • 50 years

    • 30 years

    • 45 years

    Correct Answer
    A. 50 years
    Explanation
    Ten years ago, Nidhi's mother Sita was 4 times older than her daughter. This means that if we subtract 10 from the present age of Sita, it would be four times the present age of Nidhi. After 10 years, the mother will be twice older than the daughter. This means that if we add 10 to the present age of Sita, it would be twice the present age of Nidhi. By solving these two equations, we can determine that the present age of Sita is 50 years.

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  • 3. 

    Two taps can fill a tank in 24 min and 36 min respectively. A 3rd outlet pipe can empty the tank in 30 min. If all of them are opened simultaneously, what will be the time required to fill the tank?

    • 1 hour 15 min

    • 20 min

    • 12 min

    • None of these

    Correct Answer
    A. None of these
    Explanation
    The 3rd outlet pipe is emptying the tank while the two taps are filling it. Since the time required to empty the tank is less than the time required to fill it, the tank will never be filled. Therefore, the correct answer is "None of these".

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  • 4. 

    A medical college having 600 students collected fund to build a laboratory. The amount contributed by each boy and girl was equal to their respective total numbers in the college. The UGC grant was equal to the fund collected by the students. Ratio of boys to girls is 7: 3. What amount of money was available to build the laboratory?

    • Rs. 2,08,000

    • Rs. 4,17,600

    • Rs. 3,52,000

    • Date inadequate

    Correct Answer
    A. Rs. 4,17,600
    Explanation
    In this question, we are given that the ratio of boys to girls in the college is 7:3. Let's assume that there are 7x boys and 3x girls in the college. It is also given that the amount contributed by each boy and girl is equal to their respective total numbers in the college. Therefore, each boy contributes 7x and each girl contributes 3x.

    The total fund collected by the students is the sum of the contributions of all the boys and girls, which is (7x + 3x) = 10x.

    It is also given that the UGC grant is equal to the fund collected by the students. Therefore, the UGC grant is also 10x.

    Now, we need to find the value of x. Since the total number of students in the college is 600, we can set up the equation 7x + 3x = 600. Solving this equation, we get x = 60.

    Substituting the value of x back into the equation for the UGC grant, we get 10x = 10 * 60 = 600.

    Therefore, the amount of money available to build the laboratory is Rs. 4,17,600.

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  • 5. 

    In an election of two candidates, the candidate who gets 41% votes is rejected by a majority of 2412 votes. Find the total number of votes polled.

    • 4100

    • 13400

    • 5900

    • 7100

    Correct Answer
    A. 4100
    Explanation
    The candidate who gets 41% of the votes is rejected by a majority of 2412 votes. This means that the other candidate received 59% of the votes. To find the total number of votes, we can set up the equation 41% + 59% = 100%. Let x be the total number of votes. So, 41% of x is rejected by a majority of 2412 votes, which means that 59% of x is equal to 2412 votes. Solving this equation, we find that x = 4100, which is the total number of votes polled.

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  • Nov 28, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 26, 2013
    Quiz Created by
    Tanmay Shankar
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