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 tan ­-5π/3 = x, then the value of x is

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

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Q:

What is the simplified value of 0.072+0.292-0.02030.073+0.293

A) 0.6 B) 0.06
C) 1/0.6 D) 1/0.06
 
Answer & Explanation Answer: C) 1/0.6

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Q:

CAlculate : 72-6-45÷5-72-2×2÷2+2

A) -16/18 B) -14/7
C) -12/7 D) -12/18
 
Answer & Explanation Answer: C) -12/7

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Q:

What value of 'p' will satisfy the equation p540 = 240p ?

A) 6 B) 10
C) 6√10 D) √10
 
Answer & Explanation Answer: C) 6√10

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Q:

Which of the following is TRUE?

A) 1123>1294>15 B) 1294>1123>15
C) 15>1123>1294 D) 15>1294>1123
 
Answer & Explanation Answer: C) 15>1123>1294

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Q:

If (x  2)2 + (y + 3)2 + (z  15)2 = 0, then what is the value of x + y + z  5?

A) 5 B) 9
C) 15 D) 20
 
Answer & Explanation Answer: B) 9

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Q:

If 3x + 2 < 2x + 1 and x ­- 4 ≤ 2x -­ 1; then x can take which of the following values?

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

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Q:

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

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

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