Mathematical operation and symbol notation

Mathematical operation and symbol notation

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Situation Reaction Test
  1. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
    16 * 6 * 4 * 24








  1. View Hint View Answer Discuss in Forum

    Apply all option one by one

    Correct Option: D

    Apply all option one by one
    ∵ 16 x 6 ÷ 4 = 24
    ⇒ 96/4 = 24 ⇒ 24 = 24

  1. In the following question, * stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as a correct equation.
    24 * 4 * 5 * 4








  1. View Hint View Answer Discuss in Forum

    Apply all option one by one .

    Correct Option: B

    From option (b),
    24 = 4 x 5 + 4
    ⇒ 24 = 20 + 4 ⇒ 24 = 24

  1. If 73 + 82 = 14, 91 + 21 = 11, then 86 + 24 = ?








  1. View Hint View Answer Discuss in Forum

    As, 73 + 82 = 14
    Subtract first two numbers + Add last two numbers

    Correct Option: C

    As, 73 + 82 = 14
    ⇒ (7 - 3) + (8 + 2) = 14
    ⇒ 4 + 10 = 14
    ⇒ 14 = 14 and 91 + 21 = 11
    ⇒ (9 - 1) + (2 + 1) = 11
    ⇒ 8 + 3 = 11 ⇒ 11 = 11
    Similarly, 86 + 24 = (8 - 6) + (2 + 4) = 2 + 6 = 8

Direction: In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of number are to be answered. The operations of numbers progress from left to the right.
Rules
(i) If an odd number is followed by another composite odd number,they are to be added.
(ii) If an even number is followed by an odd number, they are to be added.
(iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.
(iv) if an odd number is followed by a prime odd number, the first number is to be divided by the second number.
(v) If an add number is followed by an even number, the second one is to be subtracted from the first number.

  1. 15   8   21
    p     3    27
    If 'p' is the resultant of the first row, what will be the resultant of the second row ?










  1. View Hint View Answer Discuss in Forum

    Rules
    (i) (odd number) + (Composite odd number)
    (ii) (Even number) + (Odd number)
    (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number)
    (iv) (Odd number) ÷ (Prime odd number)
    (v) (Odd number) - (Even number)
    1st Row   15   8   21 ⇒ 15 - 8 = 7     [rule (v)]
    ⇒       7 + 21 = 28     [rule (i)]

    Correct Option: A

    Rules
    (i) (odd number) + (Composite odd number)
    (ii) (Even number) + (Odd number)
    (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number)
    (iv) (Odd number) ÷ (Prime odd number)
    (v) (Odd number) - (Even number)
    1st Row   15   8   21 ⇒ 15 - 8 = 7     [rule (v)]
    ⇒       7 + 21 = 28     [rule (i)]
    2nd Row   p   3   27 ⇒ 28   3   27
    ⇒ 28 + 3 = 31     [rule (ii)]
    ⇒ 31 + 27 = 58     [rule (i)]
    ∴ Resultant of second row = 58

Direction: What should be the correct signs to balance the following equations ?

  1. 65 40 11 = 36








  1. View Hint View Answer Discuss in Forum

    Let us check all the options one by one.
    From option (a),
    65 - 40 + 11 = 36 ⇒ 76 - 40 = 36

    Correct Option: A

    Let us check all the options one by one.
    From option (a),
    65 - 40 + 11 = 36 ⇒ 76 - 40 = 36
    ⇒ 36 = 36 ⇒ LHS = RHS
    So, option (a) is correct and hence there is no need to check remaining options.