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SSC MTS 2022 Aptitude Test - 1
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SSC MTS 2022 Aptitude Test - 1
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  • Question 1/10
    1 / -0.25

    A shopkeeper, sold almonds at the rate Rs 1250 per kg and bears a loss of 7%. Now if he decides to sell it at Rs 1375 per kg, what will be the result?

    Solutions

    Let the CP of almonds be x. Given that, on selling them at the rate Rs 1250 per kg shopkeeper bears a loss of 7%.
    ∴93% of x = 1250
    ⇒x = 125000/93
    ≈ Rs1344
    Now if he decides to sell it at Rs 1375 per kg, profit =

     

  • Question 2/10
    1 / -0.25

    In an examination, 1400 boys and 700 girls appeared out of which 40% of the boys and 50% of the girls failed. Find the percentage of candidates who passed.

    Solutions

    Total boys = 1400

    Number of boys failed =

     

  • Question 3/10
    1 / -0.25

    Profit after selling a watch for Rs. 614 is the same as loss after it for Rs. 572. Find the cost price of the watch.

    Solutions

    Let the cost price of the watch = x

    A.T.Q.

    614 - x = x - 572

    2x =614+572 = 1186

    x = 593

     

  • Question 4/10
    1 / -0.25

    Solutions

    To make this perfect square, we will have to choose r=2, as the other term of n has power 1, wo we cannot take higher values of r.

    Hence, our equation has now become,

    n2 – tn + ¼ .... (eq1)

    Now compararing it with

    (n ± ½ )2 

    = (n2 ± 2. ½ . n + ¼)

    = n2 ± n + ¼ ..... (eq2)

    comparaing (eq1) and (eq2),

    we get t= ±1

     

  • Question 5/10
    1 / -0.25

    Raj and Prem walk in opposite direction at the rate of 3 km and 2 km per hour respectively. How far will they be from each other after 2 hrs?

    Solutions

    Distance covered by Raj in 2 hour
    =2*3 = 6 km 
    Distance covered by Prem in 2 hour
    =2*2 = 4km 
    ∴ Distance between then after 2 hour
    =6+4 = 10km

     

  • Question 6/10
    1 / -0.25

    A fraction, whose 4/7 part is when subtracted from itself and resultant is subtracted from 3/7 gives 1/14 is?

    Solutions

    Let the required fraction is x. A/Q

     

  • Question 7/10
    1 / -0.25

    A person buys spirit at Rs.60/liter and added some water to it and then sells it at Rs.75 per liter, what is the ratio of spirit to water if his profit in this deal is 37.5 %?

    Solutions

    Let the total cost of the mixture is x

    S.P = 75 Rs. With 37.5 % profit

    ⟹ 6: 60 = 1: 10 this is ratio of water to spirit

    ∴ Ratio of spirit to water will be 10: 1

     

  • Question 8/10
    1 / -0.25

    If 4A = 6B = 5C then A : B : C is:

    Solutions

    Let, 4A = 6B = 5C = x

    Therefore, 4A = x

    ⇒ A = x/4

    Similarly, B = x/6 and C = x/5

    Then,

     

  • Question 9/10
    1 / -0.25

    A, B and C can complete a piece of work in 12, 24 and 36 days respectively. In how many days will they together complete the same work?

    Solutions

    (A + B + C)'s 1 day's work

     

  • Question 10/10
    1 / -0.25

    Directions For Questions

    The bar graph given below shows the total number of students in six sections of a class VI of a certain school. Using this graph, answer the question nos. 146 to 150.

    ...view full instructions


    What is the total number of students in class VI?

    Solutions

    Total number of students in Class VI = 34+35+31+32+33+34 = 199

     

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