Simplification Questions

FACTS  AND  FORMULAE  FOR  SIMPLIFICATION  QUESTIONS

 

 

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 a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and '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.

 Modulus of a real number : Modulus of a real number a is defined as |a| = aif a>0-aif a<0

 

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

Q:

If (x+1/x) = 5, then the value of 5xx2+5x+1?

A) 1/3 B) 1/4
C) 1/2 D) 1/5
 
Answer & Explanation Answer: C) 1/2

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Q:

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A) 12.6 cm B) 9.3 cm
C) 8.1 cm D) 5.4 cm
 
Answer & Explanation Answer: A) 12.6 cm

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Q:

If (4x -­ 5) = (3x ­- 1), then the numerical value of (x + 4)2

A) 16 B) 64
C) 32 D) 8
 
Answer & Explanation Answer: B) 64

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Q:

If a + b = 4 and ab = 3, then what is the value of a3 + b3?

A) 21 B) 17
C) 28 D) 31
 
Answer & Explanation Answer: C) 28

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Q:

If 5+x+5-x5+x-5-x = 3,then what is the value of x ?

A) 5/2 B) 25/3
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

If 4x2= 152- 92, then value of x is

A) 9 B) 6
C) 3 D) 12
 
Answer & Explanation Answer: B) 6

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Q:

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

A) 1/5 B) 5
C) 25 D) 60
 
Answer & Explanation Answer: B) 5

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Q:

What is the value of 1xp-q+1+1xq-p+1?

A) 0 B) 1
C) x D) cant determine
 
Answer & Explanation Answer: B) 1

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