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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:

If 3x ­- 2(4 ­- 3x) < 2x ­- 5 < 3x + 3; then the value of x is

A) 1 B) 2
C) 5 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

The point Q(a,b) is first reflected in y­-axis to Q1 and Q1 is reflected in x­axis to (­-5,3). The co­ordinates of point Q are

A) (­-5,­3) B) (5,-3)
C) (­-5,-3) D) (5,­3)
 
Answer & Explanation Answer: B) (5,-3)

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Q:

A telephone bill costs Rs.13 for 19 minutes. What is the cost in rupees for 15 minutes 50 seconds?(rounded to one decimal)

A) 10.8 B) 10.7
C) 10.6 D) 10.9
 
Answer & Explanation Answer: A) 10.8

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Q:

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

A) 5 B) 10√3
C) 20 D) 20√3
 
Answer & Explanation Answer: C) 20

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Q:

AB is the diameter of a circle with center O and P be a point on its circumference. If ∡POA = 120°, then the value of ∡PBO is

A) 30° B) 60°
C) 50° D) 40°
 
Answer & Explanation Answer: B) 60°

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Q:

What is the value of 1.23+0.83+0.73-2.0161.351.22+0.82+0.72-0.96-0.84-0.56 =

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

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Q:

The point P(a,b) is first reflected in origin to P1 and P1 is reflected in y-­axis to (6,­-5). The co-­ordinates of point P are

A) (­-6,­-5) B) (6,5)
C) (­6,-5) D) (-6,­5)
 
Answer & Explanation Answer: B) (6,5)

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Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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