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:

Which of the following statement(s) is/are TRUE?

 

I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07
II. √(0.010201) + √(98.01) + √(0.25) = 11.51

A) Only I B) Only II
C) Both I and II D) Neither I nor II
 
Answer & Explanation Answer: A) Only I

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Q:

Solve the following : 80÷[48−56−(60−36÷12×4)]=?

 

A) 5 B) 8
C) 4 D) 2
 
Answer & Explanation Answer: D) 2

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Q:

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

A) Only I B) Only I and II
C) Only II and III D) Only I and III
 
Answer & Explanation Answer: B) Only I and II

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Q:

Direction: What value should come in place of the question mark (?) in the following question?

534.596 + 61.472 - 496.708 = ? + 27.271

A) 126.631  B) 62.069
C) 72.089 D) 132.788
 
Answer & Explanation Answer: C) 72.089

Explanation:

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

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Q:

1960.196=19.6xthen what will be the value of x?

 

A) 1.96 B)  10.96
C)  0.0196 D) 0.196
 
Answer & Explanation Answer: C)  0.0196

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Q:

Which of the following value of 'x' satisfies the equation 

4x-1.92x-6 = 5184

 

A) 2 B) 3
C) 4 D) 6
 
Answer & Explanation Answer: C) 4

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Q:

What is the value of (sin45 - √3) ?

 

A) (1-√6)/√2   B) (4-√3)/2√3  
C) -1/2√3   D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (1-√6)/√2  

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

 

A) 87/425 B) 304/425
C) 297/425 D) 416/425
 
Answer & Explanation Answer: A) 87/425

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