Tips and Tricks on Simplification related problems in Aptitude

  1. ‘BODMAS’ Rule:This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.Here B – Bracket,
    O – of,
    D – Division,
    M – Multiplication,
    A – Addition and
    S – Subtraction

    Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order (), {} and ||.

    After removing the brackets, we must use the following operations strictly in the order:

    (i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.

  2. Modulus of a Real Number:Modulus of a real number a is defined as
    |a| = a, if a > 0
    a, if a < 0

    Thus, |5| = 5 and |-5| = -(-5) = 5.

  3. Virnaculum (or Bar):When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum
    A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
    A. 45
    B. 60
    C. 75
    D. 90

    Answer: Option D

    Explanation:

    Let number of notes of each denomination be x.

    Then x + 5x + 10x = 480

     16x = 480

     x = 30.

    Hence, total number of notes = 3x = 90.

    2. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
    A. 20
    B. 80
    C. 100
    D. 200

    Answer: Option C

    Explanation:

    Let the number of students in rooms A and B be x and y respectively.

    Then, x – 10 = y + 10      x – y = 20 …. (i)

    and x + 20 = 2(y – 20)      x – 2y = -60 …. (ii)

    Solving (i) and (ii) we get: x = 100 , y = 80.

     The required answer A = 100.

    The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

    The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?

    A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:V

    One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

    A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

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