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 n + n2 + n4 + n8 = 45, then find the value of 'n' which will satisfy the equation.

A) 16 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

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Q:

If cos -300° = x, then the value of x is

A) 1/2 B) -1/√2
C) -1/2 D) √3/2
 
Answer & Explanation Answer: A) 1/2

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Q:

The measures of the three angles of a triangle are in the ratio 1:2:3. What is the measure of the biggest angle?

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: C) 90°

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Q:

ΔPQR is right angled at Q. If secP = 13/5, then what is the value of sinR ?

A) 5/13 B) 5/12
C) 13/5 D) 13/12
 
Answer & Explanation Answer: A) 5/13

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Q:

What is the reflection of the point (5, 2) in the line x = -3?

A) (-11 ,2) B) (-11 ,-2)
C) (11 ,-2) D) (11 ,2)
 
Answer & Explanation Answer: A) (-11 ,2)

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Q:

If 51.97 ­ (81.18 -­ x ) ­- 59.39 = 5.268, then value of x will be

A) - 24.912 B) - 68.492
C) 93.868 D) 197.808
 
Answer & Explanation Answer: C) 93.868

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Q:

If 5x + 4(1 -­ x) > 3x - ­4 > 5x/3 -­ x/3; then x can take which of the following values?

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

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Q:

If 1/(1 + cosA) + 1/(1 ­- cosA) = x , then value of x is

A) 2sec2A B) 2cosecA
C) 2cosec2A D) 2secA
 
Answer & Explanation Answer: C) 2cosec2A

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