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CDS - Elementary Mathematics Test-5
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CDS - Elementary Mathematics Test-5

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  • Question 1/10
    1 / -0

    Solutions

    =xy2 – xz2 +yz2 –yx2 +zx2 –zy2 

    =x2(z-y) + x(y2-z2) +yz(z-y) 

    =(y-z)[x(y-x) + z(x-y)] 

    =(x-y)(y-z)(z-x) 

    Npw according to option given the equation is divisible by both (y-z) and (z-x)

     

  • Question 2/10
    1 / -0

    A person’s salary has increased from Rs.7,200 to Rs. 8,100. What is the percentage increas in his salarey?

     

    Solutions

    Percentage increase in his salary 

    =(8100 -7200)/7200 × 100 

    =900/7200 × 100= 

     

  • Question 3/10
    1 / -0

    18 men can earn Rs. 360 in 5 days. How much money will 15 men earn in 9 days?

    Solutions

    Use this formula W1/M1D1=W2/M2D2 

    360/(18×5) = W2/(15×9) 

    W2=540 

    Hence 15 men earn Rs.540 in 9 days

     

     

  • Question 4/10
    1 / -0

    The area of an isosceles triangle ABC with AB = AC and altitude AD = 3 cm is 12 square cm. What is its perimeter?

    Solutions

    Let the sides of isosceles triangle ABC be AB= AC=a and BC =b 

    AD is an altitude of Triangle ABC then BD = DC = b/2

     

     

  • Question 5/10
    1 / -0

    Solutions

     

  • Question 6/10
    1 / -0

    Water is filled in a container in such a manner that its volume doubles every 5 minutes. If it takes 30 minutes for the container to be full, in how much time will it be one-fourth full?

    Solutions

    the volume of water in the container doubles in every 5 minutes.So at 25 minutes the container was half filled .Hence after 5 minutes i.e at 30th minute , the volume of water doubled and container was completely filled.

    Following the same logic , at 20th minute the container was 1/4th filled.

    Hence it will take 20 minutes for the container to get 1/4th filled.

     

  • Question 7/10
    1 / -0

    The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If t one of the numbers is 93, then the other number is

    Solutions

    Le LCM=12x 

    HCF=x 

    Sum of LCM and HCF=403 → x=31 

    Product of two numbers =product of their HCF and LCM 

    First number is 93, let second number be n 

    93n=12 ×31×31 

    →n=124

     

  • Question 8/10
    1 / -0

    If salary of X is 20% more than salary of Y , then by how much percentage is salary of Y less than x ?

    Solutions

    Salary of X is 20% more than the salary of Y; 

    Therefore; required % = Salary of Y is less than salary of X = 

     

  • Question 9/10
    1 / -0

    The volume of a sphere is 8 times that of another sphere. What is the ratio of their surface areas ?

    Solutions

    Let the radii of two spheres are R1 and R2 respectively. Then; 

     

  • Question 10/10
    1 / -0

    The mean weight of 150 students in a certain class is 60 kg. the mean weight of the boys from the class is 70 kg, while that of girls is 55 kg. what is the number of girls in the class ?

    Solutions

    Let the number of girls in the class be x 

    Then the number of boys in the class = 150-x 

    As per question, 

     

     

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