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:

Find the common factor of 3757+ 4357 and 3737+ 4337

A) (43 - 37) B) (43 + 37)
C) 37 D) 10
 
Answer & Explanation Answer: B) (43 + 37)

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Q:

What is the value of 23+5252-23 ?

A) 9 B) 49
C) 561 D) 571
 
Answer & Explanation Answer: C) 561

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Q:

What is the simplified value of sec4θ  sec2θ tan2θ?

A) cosec2θ B) Cot2θ
C) sec2 θ D) secθ tan θ
 
Answer & Explanation Answer: C) sec2 θ

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Q:

The points A(x,2), B(­2,1) and C(6,­3) are collinear. Find x?

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

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Q:

ΔPQR is right angled at Q. If cosP = 5/13, then what is the value of cosecR ?

A) 13/5 B) 5/12
C) 5/13 D) 13/12
 
Answer & Explanation Answer: A) 13/5

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Q:

If Tan θ = 4/3, then what is the value of Sin θ?

A) 1.25 B) 0.8
C) 4/3 D) 3/4
 
Answer & Explanation Answer: B) 0.8

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Q:

What is the value of 96+21624?

A) 8 B) 4
C) 5 D) 10
 
Answer & Explanation Answer: C) 5

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Q:

If 123 x 356 = 43788, then 1.23 x 0.356 = ?

A) 437.88 B) 4.3788
C) 0.43788 D) 0.043788
 
Answer & Explanation Answer: C) 0.43788

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