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=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is

A) 2a2 B) 0
C) 4a2 D) a2
 
Answer & Explanation Answer: D) a2

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Q:

3cosA is equal to

A) 4cos3A + 3cosA B) 4cos3A - 3cosA
C) 3cos3A + 3cosA D) 3cos3A - 3cosA
 
Answer & Explanation Answer: B) 4cos3A - 3cosA

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Q:

If 4(x + 5) -­ 3 > 6 -­ 4x ≥ x -­ 5; then the value of x is

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

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Q:

Reflection of the point (4,-5) in the y-axis is

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

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Q:

What is the simplified value of 22433+393-11253?

A) 593 B) 493
C) 793 D) 1193
 
Answer & Explanation Answer: A) 593

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Q:

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

A) 3x - 13y B) 3x + 13y
C) 13x - 3y D) 13x + 3y
 
Answer & Explanation Answer: B) 3x + 13y

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Q:

What is the equation of a line of slope 1/3 and y-intercept 5?

A) x - 3y = -15 B) x - 3y = 15
C) x + 3y = -15 D) x + 3y = 15
 
Answer & Explanation Answer: A) x - 3y = -15

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Q:

Find the value of 6813+6413314

A) 5 B) 6
C) 36 D) 216
 
Answer & Explanation Answer: B) 6

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