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 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 = a, then the value of cosA is

A) a2+12a B) 2aa2+1
C) a2-12a D) 2aa2-1
 
Answer & Explanation Answer: B) 2aa2+1

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Q:

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2  - b2 - c2)

 

A) 15 B) 17
C) -17 D) -15
 
Answer & Explanation Answer: C) -17

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1 802
Q:

If 1/(1 + cot2A) = x, then value of x is

A) sinA B) cosecA
C) cosA D) secA
 
Answer & Explanation Answer: A) sinA

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0 802
Q:

In an isosceles trapezium _____.

A) Diagonals are congruent B) Opposite sides are parallel
C) Diagonals are bisectors of each other D) Diagonals bisect opposite angles
 
Answer & Explanation Answer: A) Diagonals are congruent

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Q:

What is the equation of the line if its slope is 4/3 and it passes through the point (-7 , 2)?

A) 4x - 3y = -22 B) 4x + 3y = -34
C) 4x + 3y = -22 D) 4x - 3y = -34
 
Answer & Explanation Answer: D) 4x - 3y = -34

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Q:

If the zeroes of the polynomial x2 - ax + b are 3 and 4, then 'a' and 'b' are respectively equal to

A) 4, 3 B) 12, 7
C) 3, 4 D) 7, 12
 
Answer & Explanation Answer: D) 7, 12

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Q:

What is the reflection of the point (4, 7) in the line y = -1?

A) (-6 , 7) B) (-4 , -9)
C) (4 , -9) D) (-6 , -7)
 
Answer & Explanation Answer: C) (4 , -9)

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Q:

Find the unit place digit in (192)102 + (193)103

A) 0 B) 1
C) 3 D) 5
 
Answer & Explanation Answer: B) 1

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