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SSC CGL 2022 Aptitude Test - 4
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SSC CGL 2022 Aptitude Test - 4

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  • Question 1/10
    2 / -0.5

    If θ is acute angle and cos2 θ − sin2 θ = −1/2; then the value of [cos2 2θ + cot2 (θ/2)] is: 

    Solutions

     

  • Question 2/10
    2 / -0.5

    An article is sold at a profit of 32%. If the cost price is increased by 20% and the sale price remains the same, then the profit percentage becomes:

    Solutions

    Let the CP = Rs. 100 then SP = Rs. 132

    Now, CP = Rs. 120 and SP = Rs. 132

     

  • Question 3/10
    2 / -0.5

    Solutions

     

  • Question 4/10
    2 / -0.5

    Ram can complete a certain work in 35 days and Shyam can complete the same work in 15 days. They worked together for 7 days, and then Shyam left the work. In how many days Ram can complete the 3/7th part of the remaining work.

    Solutions

    Let the total work be 105x.

     

  • Question 5/10
    2 / -0.5

    If x = 16, then find the value of x6 – 17x5 + 17x4 – 17x3 + 17x2 – 17x – 1:

    Solutions

    Given, x6 – 17x5 + 17x4 – 17x3 + 17x2 – 17x – 1

    = x6 – (16 + 1)x5 + (16 + 1)x4 – (16 + 1)x3 + (16 + 1)x2 – (16 + 1)x – 1

    = x6 – (x + 1)x5 + (x + 1)x4 – (x + 1)x3 + (x + 1)x2 – (x + 1)x – 1

    = x6 – x6 – x5 + x5 + x4 – x4 – x3 + x3 + x2 – x2 – x – 1

    = –x – 1

    = –16 – 1

    = –17

     

  • Question 6/10
    2 / -0.5

    Directions For Questions

    Direction: In the following table the number of unit manufacture and sold by five companies - P, Q, R, S, and T has been given. study the given data carefully and answer the question.

    ...view full instructions

    What is the respective ratio between the number of units sold by company S and that sold by company Q ?

    Solutions

    ⇒Number of units sold by company S = 35

    ⇒Number of unit sold by company Q = 40

    ⇒Required ratio = 35 /40 = 7 / 8 or 7 : 8

     

  • Question 7/10
    2 / -0.5

    Directions For Questions

    Direction: In the following table the number of unit manufacture and sold by five companies - P, Q, R, S, and T has been given. study the given data carefully and answer the question.

    ...view full instructions

    which company sold highest percentage of units as compared to manufactured by it ?

    Solutions

    percentage sale of

    ⇒Company P = 30 / 45 × 100 = 66.67

    ⇒Company Q = 40 / 55 × 100 = 72.72

    ⇒Company R = 45 / 60 × 100 = 75

    ⇒Company S = 35 / 40 × 100 = 87.5

    ⇒Company T = 55 / 70 × 100 = 78.57

    ∴ the highest percentage of units as compared to manufactured is sold by company S.

     

  • Question 8/10
    2 / -0.5

    Directions For Questions

    Direction: Percentage distribution of student and girls in a college studying in various discipline are given below. Study the following Pie chart carefully answer the given question.

    ...view full instructions

    The number of girls in commerce is approximately what percent of total number of student in commerce?

    Solutions

     

  • Question 9/10
    2 / -0.5

    If the sides of a triangle are 119 cm, 120 cm and 169 cm then find the radius of circle, circumscribing the triangle.

    Solutions

    As given:

     

  • Question 10/10
    2 / -0.5

    The average of 19 results is 122. If the average of first 10 results is 92 and that of the last 10 results is 149, then what will be the 10 result?

    Solutions

    Here, Total marks = 19 × 122 = 2318 

    Marks of First 10 results = 10 × 92 = 920

    Marks of Last 10 results = 10 × 149 = 1490

    So, marks of 10th result = 1490 + 920 − 2318 = 92

     

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