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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:

The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?

A) x = -7; y = 7 B) x = 3; y = -3
C) x = 7; y = -7 D)  x = -3; y = 3
 
Answer & Explanation Answer: C) x = 7; y = -7

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Q:

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

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

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Q:

If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: C) 3

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Q:

If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?

A) x2 + 7x – 1 = 0 B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0 D) x2 + 11x – 1 = 0
 
Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

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

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Q:

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

A) 0 B) 4
C) -2 D) 7
 
Answer & Explanation Answer: B) 4

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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:

ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?

A) y = 2x - 5 B) y = x + 5
C) y = 2x + 5 D) y = x - 5
 
Answer & Explanation Answer: D) y = x - 5

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