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 Simplification Questions

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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 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

A) -3 B) 3
C) -6 D) 6
 
Answer & Explanation Answer: A) -3

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Q:

Product of 6ab, 3b and 4a is

A) 72a2b2 B) 144ab
C) 72ab D) 144a2b2
 
Answer & Explanation Answer: A) 72a2b2

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Q:

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

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

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Q:

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

A) (18/13, 12/13) B) (18/13, -12/13)
C) (-18/13, -12/13) D) (-18/13, 12/13)
 
Answer & Explanation Answer: B) (18/13, -12/13)

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Q:

If 2+aa + 2+bb + 2+cc = 4, then the value of ab+bc+caabc is

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

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Q:

The point R(a,b) is first reflected in origin to R1 and R1 is reflected in X-axis to (-5,1). The co-ordinates of point R are?

A) (5,-1) B) (-1,5)
C) (1,-5) D) (5,1)
 
Answer & Explanation Answer: D) (5,1)

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Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?(55.01+16.0003)×22.01÷10.998 =?

A) 190 B) 130
C) 110 D) 142
 
Answer & Explanation Answer: D) 142

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Q:

If P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812, then what is the value of P – Q?

A) 24645 B) 26075
C) 29317 D) 31515
 
Answer & Explanation Answer: B) 26075

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