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:

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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Q:

If ab+ba=1, then the value of a3+b3 is

A) 1 B) 0
C) -1 D) 2
 
Answer & Explanation Answer: B) 0

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Q:

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

A) 144 sq. cms B) 288√3 sq. cms
C) 144√3 sq. cms D) 288sq.cms
 
Answer & Explanation Answer: C) 144√3 sq. cms

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Q:

Point A (4 , 2) divides segment BC in the ratio 2:5. Co-ordinates of B are (2 , 6) and C are (7 , y). What is the value of y?

A) 8 B) -8
C) 6 D) -6
 
Answer & Explanation Answer: B) -8

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Q:

If (5/9 of x) ­- (2/5 of 9/4) equals ­ -4/5 then find x.

A) 0.18 B) 0.12
C) 2 D) 0.54
 
Answer & Explanation Answer: A) 0.18

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Q:

If x -­ y = 7 and xy = 32, then value of (x2 + y2) is

A) 49 B) 64
C) 113 D) 15
 
Answer & Explanation Answer: C) 113

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Q:

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

A) 0 B) 2
C) 4 D) 6
 
Answer & Explanation Answer: A) 0

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Q:

If ab-1b=cb-1c=ac-1a, then ac+ba+cb

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

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