Number System


  1. The sum of the two position number P and Q is 2.5 time their difference .If the product of the number 84 then the what is the sum of those two number?









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    Let the number be P and Q
    According to the question
    (P + Q) = 2.5 (P - Q)
    ⇒ P + Q = 2.5P - 25Q
    ⇒ 3.5Q = 1.5P
    ⇒ P / Q = 7/3 .....(i)
    Now PQ = 84

    Correct Option: D

    Let the number be P and Q
    According to the question
    (P + Q) = 2.5 (P - Q)
    ⇒ P + Q = 2.5P - 25Q
    ⇒ 3.5Q = 1.5P
    ⇒ P / Q = 7/3 .....(i)
    Now PQ = 84
    ⇒ Q2 = (84 x 3) / 7
    ⇒ Q2 = 36
    ∴ Q = 6
    &ther4; P = (7/3) x 6 = 14

    Sum of the number = P + Q = 14 + 6 = 20


  1. Out of three given number the first number is twice the second and thrice number is 154 then what is the difference between the first and third number ?









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    Let the third number = N
    Then the first number = 3N
    And second number = 3N/2
    According to the question [N + 3N + 3N/2] / 3=154

    Correct Option: C

    Let the third number = N
    Then the first number = 3N
    And second number = 3N/2
    According to the question [N + 3N + 3N/2] / 3=154
    ⇒ (2N +6N +3N) / 6 = 154
    ∴ N = (154 x 6) / 11 = 84
    ∴ Required difference = 3N - N = 2N
    = 2 x 84 = 168



  1. Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long









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    Number of trees that can be planted on one side of road = (1760 / 20) + 1

    Correct Option: D

    Number of trees that can be planted on one side of road = (1760 / 20) + 1
    = 88 + 1
    =89

    ∴ Trees on the both side = 2 x 89=178


  1. The difference between two number is 18 if four times the second number is less then three what is the sum these two number?









  1. View Hint View Answer Discuss in Forum

    Let first number = P
    And second number = Q
    According to the question
    P - Q = 10 ....(i)
    And 3P - 4Q = 18...(ii)

    on multiply eq (i) by 3 and then subtract eq (ii) from it
    3P - 3Q = 54
    3P - 4Q = 18
    Q = 36

    On putting the value of Q in the eq (i)
    P = 18 + Q = 18 +36
    ⇒ P = 54

    Correct Option: D

    Let first number = P
    And second number = Q
    According to the question
    P - Q = 10 ....(i)
    And 3P - 4Q = 18...(ii)

    on multiply eq (i) by 3 and then subtract eq (ii) from it
    3P - 3Q = 54
    3P - 4Q = 18
    Q = 36

    On putting the value of Q in the eq (i)
    P = 18 + Q = 18 +36
    ⇒ P = 54
    Required sum = P + Q = 54 +36 =90



  1. The smallest number of five digits exactly divisible by 476 is









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    The smallest number of 5 digits = 10000
    Now,

    Correct Option: D

    The smallest number of 5 digits = 10000
    Now,

    ∴ Required number = 10000 + (476 – 4)
    = 10000 + 472 = 10472