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 sec2A + cosec2A = X, then the value of X is

A) tan2A cot2A B) sinA cosA
C) secA cosecA D) sec2A cosec2A
 
Answer & Explanation Answer: D) sec2A cosec2A

Explanation:
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0 1918
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)?

[(7.99)2–(13.001)2+(4.01)3]2=?

A) -1800 B) 1450
C) -1660 D) 1660
 
Answer & Explanation Answer: D) 1660

Explanation:

[(7.99)^2–(13.001)^2+(4.01)^3]^2= X X= [8^2-13^2+4^3]^2 X= [64-169+64]^2 X= [-41]^2 X=1681

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1 1917
Q:

If A = (-14 + 4) and B = 4 - 14, then AB = 

A) 0 B) -100
C) 100 D) -1
 
Answer & Explanation Answer: C) 100

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1 1916
Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41 B) 9/41
C) 41/40 D) 41/9
 
Answer & Explanation Answer: C) 41/40

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1 1915
Q:

If Cosec θ = 25/7 , then what is the value of Cot θ?

A) 24/25 B) 7/24
C) 7/25 D) 24/7
 
Answer & Explanation Answer: D) 24/7

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3 1914
Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: B) 4

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3 1906
Q:

10+10(9) =

A) 180 B) 110
C) 100 D) 19
 
Answer & Explanation Answer: C) 100

Explanation:

According to BODMAS Rule,

10 + 10(9)

= 10 + 90

= 100

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3 1898
Q:

cos3A is equal to

A) cos3A - 3sin2cosA B) cos3A + 4sin2cosA
C) cos3A + 3sin2cosA D) cos3A - 4sin2cosA
 
Answer & Explanation Answer: C) cos3A + 3sin2cosA

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1 1898