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 secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)] B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

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Q:

If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

A) -23/2 B) 13/2
C) -13/2 D) 23/2
 
Answer & Explanation Answer: D) 23/2

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Q:

If x=2+3, then the value of x2-x+1x2+x+1 is

A) 2/3 B) 3/4
C) 4/5 D) 3/5
 
Answer & Explanation Answer: D) 3/5

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Q:

If x = 4aba+b, then what is the value of x+2ax-2a+x+2bx-2b ?

A) 0 B) 2
C) 4 D) 1
 
Answer & Explanation Answer: B) 2

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Q:

The average of 100 observations was calculated as 35.It was found later, that one of the observation was misread as 83 instead of 53. The correct average is :

A) 32.7 B) 34.7
C) 35.7 D) 36.7
 
Answer & Explanation Answer: B) 34.7

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Q:

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

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

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Q:

Find the value of x if 1-x24 = 1318

A) 155 B) 157
C) 159 D) 161
 
Answer & Explanation Answer: A) 155

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Q:

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?

A) -92.456 B) 75.384
C) 71.472 D) 104.084
 
Answer & Explanation Answer: B) 75.384

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