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Simplifications

Aptitude ➤ Simplifications ➤ 1

I. ‘BODMAS’ Rule : This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of a given expression.

Here, ‘B’ stands for 'bracket' ,
'O'for ‘of’ ,
‘D’ for 'division'
‘M’ for ‘multiplication’,
‘A’ for ‘addition’ and
‘S’ for ‘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:
(1) of (2) division (3) multiplication (4)addition (5)subtraction.

II. Modulus of a real number : Modulus of a real number a is defined as
|a| = { a, if a > 0;
|a| = { -a, if a < 0;
Thus, |5| = 5 and |-5| = -(-5) = 5.

III. Virnaculum (or bar): When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

Question 6
Q6.  If p - q = 3 and p 2 + q2 = 29 , Then find the value of pq .
Question 7
Q7.  The number of girls in a class are 7 times the number of boys, which value can never be the number of total students ?
Question 8
Q8.  Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees ?
Question 9
Q9.  A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on conveyence. If he has Rs.1400 left with him, find his expenditure on food ?
Question 10
Q10.  Company workers decided to raise Rs. 3 lakhs by equal contribution from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many workers were they ?
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