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 Simplification Questions

Popular Latest Rated Important Formulae

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:

What is the equation of a line which has 3 as x-intercept and -5 as y-intercept?

A) 3x - 5y = 15 B) 5x - 3y = 15
C) 5x + 3y = 15 D) 3x + 5y = 15
 
Answer & Explanation Answer: B) 5x - 3y = 15

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Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3 B) 30(√3 + 1)
C) 40(√3 – 1) D) 50(√3 – 1)
 
Answer & Explanation Answer: C) 40(√3 – 1)

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Q:

The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?

A) (-5,-9) B) (5,-9)
C) (5,9) D) (-5,9)
 
Answer & Explanation Answer: B) (5,-9)

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Q:

On dividing 111a2b2c2 by 37a2, we get ______.

A) 2c2 B) 2b2
C) 3 D) 3b2c2
 
Answer & Explanation Answer: D) 3b2c2

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Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

 

A) 18 B) 9
C) 20 D) 12
 
Answer & Explanation Answer: C) 20

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Q:

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is

A) 6.5 cm B) 3.25 cm
C) 3 cm D) 2.5 cm
 
Answer & Explanation Answer: B) 3.25 cm

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Q:

If a+bab=21 ,  then the value of (a-b) is

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

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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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