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:

Simplify 5x(x + 2) + 4x

 

 

A) 5x2 + 10 B) 9x + 10
C) 5x2 - 14x D) 5x2 + 14x
 
Answer & Explanation Answer: D) 5x2 + 14x

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams

0 49089
Q:

If sec θ + tan θ = 2, then sec θ - tan θ = ?

 

A) 0.5 B) 1.5
C) 1 D) 0.75
 
Answer & Explanation Answer: A) 0.5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 49027
Q:

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?

 

A) 62 B) 64
C) 34 D) 36
 
Answer & Explanation Answer: A) 62

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 49024
Q:

Find the value of 76413+ 2713314

 

A) 7 B) 6
C) 49 D) 343
 
Answer & Explanation Answer: A) 7

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 48871
Q:

What is the value of (cosec60 - 1/2) ?

 

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 48622
Q:

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

I. 12>163>244II. 253>324>486III. 94>153>246

A) Only I and II B) Only I and III
C) Only I D) All are true.
 
Answer & Explanation Answer: A) Only I and II

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 48500
Q:

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

504÷42x7-63+28 = ?

A) 72 B) 48
C) 62 D) 38
 
Answer & Explanation Answer:

Explanation:

504/42 × 7 - 63 + 28 = 84 – 63 + 28 = 49

Hence option 5 is correct.

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 48476
Q:

Calculate the value of x, if 1 - (x529) = (1623)

 

A) 283 B) 276
C) 273 D) 374
 
Answer & Explanation Answer: C) 273

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

3 48411