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    Read the information given below carefully and answer the questions based on it. There are three person A, B and C who administered and attempted que

    Reading Comprehension

    Read the information given below carefully and answer the questions based on it.
    There are three person A, B and C who administered and attempted questions in a test. Total questions attempt by B is half of the number questions administered by him, while the number of questions attempt by B and C is same. The number of questions administered by C is 240. The sum of number of questions attempted by A and C is 270. The number of questions administered by A is 60 less than that of B. The total number of questions administered by A, B and C is 100% more than total number questions attempted by them.

    1) Question

    The number questions attempt by C is how many more or less than the number of questions administered by B.

    A.

    180

    B.

    140

    C.

    190

    D.

    200

    E.

    110

    Correct option is A


    Let total questions administered by B = 2x
    So, total questions attempt by B = 2x ×1/2=x
    And, total number of questions attempted by C = x
    Total questions attempted by A = 270 – x
    Total number of questions administered by A = 2x – 60
    ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
    540+2x = 4x+180
    2x = 360
    x = 180

    Person
    		Administered Questions
    		Attempt Questions
    A
    		300
    		90
    B
    		360
    		180
    C
    		240
    		180
    Required difference = 360 – 180 = 180

    2) Question

    Number of questions administered by A is what percentage more or less than the number questions attempt by B?

    A.

    75%

    B.

    25%

    C.

    20%

    D.

    40%

    E.

    66.67%

    Correct option is E


    Let total questions administered by B = 2x
    So, total questions attempt by B = 2x ×1/2=x
    And, total number of questions attempted by C = x
    Total questions attempted by A = 270 – x
    Total number of questions administered by A = 2x – 60
    ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
    540+2x = 4x+180
    2x = 360
    x = 180

    Person
    		Administered Questions
    		Attempt Questions
    A
    		300
    		90
    B
    		360
    		180
    C
    		240
    		180
    Required percentage = (300-180)/180×100=66.67%

    3) Question

    Find the ratio of the number of questions administered by A to that of B.

    A.

    5:6

    B.

    6:5

    C.

    1:6

    D.

    2:7

    E.

    6:7

    Correct option is A


    Let total questions administered by B = 2x
    So, total questions attempt by B = 2x ×1/2=x
    And, total number of questions attempted by C = x
    Total questions attempted by A = 270 – x
    Total number of questions administered by A = 2x – 60
    ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
    540+2x = 4x+180
    2x = 360
    x = 180

    Person
    		Administered Questions
    		Attempt Questions
    A
    		300
    		90
    B
    		360
    		180
    C
    		240
    		180
    Required ratio = 300 : 360 = 5:6

    4) Question

    Find the difference between the number questions attempt by A and B together the number of questions administered by B and C together.

    A.

    270

    B.

    330

    C.

    240

    D.

    210

    E.

    180

    Correct option is B


    Let total questions administered by B = 2x
    So, total questions attempt by B = 2x ×1/2=x
    And, total number of questions attempted by C = x
    Total questions attempted by A = 270 – x
    Total number of questions administered by A = 2x – 60
    ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
    540+2x = 4x+180
    2x = 360
    x = 180

    Person
    		Administered Questions
    		Attempt Questions
    A
    		300
    		90
    B
    		360
    		180
    C
    		240
    		180
    Required difference = (360+240) - (180+90) = 330

    5) Question

    . If the number questions attempt by D is 20% more than that of A, then number of questions administered by C is what percentage of the the number questions attempt by D?

    A.

    375%

    B.

    225%

    C.

    125.5%

    D.

    123.33%

    E.

    222.22%

    Correct option is E


    Let total questions administered by B = 2x
    So, total questions attempt by B = 2x ×1/2=x
    And, total number of questions attempted by C = x
    Total questions attempted by A = 270 – x
    Total number of questions administered by A = 2x – 60
    ATQ, 2×(270 – x + x + x) = 2x + 240 + 2x - 60
    540+2x = 4x+180
    2x = 360
    x = 180

    Person
    		Administered Questions
    		Attempt Questions
    A
    		300
    		90
    B
    		360
    		180
    C
    		240
    		180
    Number questions attempt by D = 120/100×90=108
    Required percentage = 240/108×100=222.22%

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