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 (sin60° + 2/√3) ?

A) (2√3+1)/√3 B) 7/2√3
C) 3 D) 2+√3
 
Answer & Explanation Answer: B) 7/2√3

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Q:

What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?

A) 3/2 B) – 3
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

If sec (4x - 50°) = cosec(50° - x), Then the value of x is

A) 45° B) 90°
C) 30° D) 60°
 
Answer & Explanation Answer: C) 30°

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Q:

The value of 1/64 is equal to square of

A) 0.125 B) 0.135
C) 0.145 D) 0.225
 
Answer & Explanation Answer: A) 0.125

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Q:

What is the value of x3-1x3+8 when 8x-8x-16=0 ?

A) 6 B) 8
C) 16 D) 22
 
Answer & Explanation Answer: D) 22

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Q:

What is the reflection of the point (4 , -3) in the line y = 1?

A) (4, -5) B) (4, 5)
C) (-4, -5) D) (-4, 5)
 
Answer & Explanation Answer: B) (4, 5)

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Q:

If xy (x + y) = m, then the value of x3 + y3 + 3m is:

A) m3xy B) m3x+y3
C) m3x3y3 D) mx3y3
 
Answer & Explanation Answer: D) mx3y3

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Q:

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

A) 65 B) 34
C) 43 D) 56
 
Answer & Explanation Answer: D) 56

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