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 (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3  3xyz?

A) 81 B) 361
C) 729 D) 6561
 
Answer & Explanation Answer: C) 729

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1359
Q:

What is the simplified value of cosec 2A + cot 2A?

A) sec A B) sec (A/2)
C) cot A D) cot2 A
 
Answer & Explanation Answer: C) cot A

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1357
Q:

If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?

A) 1 B) 3
C) -3 D) -1
 
Answer & Explanation Answer: D) -1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1357
Q:

At what point does the line 3x + 2y = 12 cuts the Y-axis?

A) (0, 6) B) (0, -6)
C) (6, 0) D) (-6, 0)
 
Answer & Explanation Answer: A) (0, 6)

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1356
Q:

If 3n = 2187, then the value of n is:

A) 13 B) 14
C) 15 D) 16
 
Answer & Explanation Answer: B) 14

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1353
Q:

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

A) 30 B) 45
C) 60 D) 75
 
Answer & Explanation Answer: A) 30

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1353
Q:

What is the value of cosec -7π/6?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1351
Q:

If x = 6+26, then what is the value of x-1 + 1x-1 ?

A) 2√3 B) 3√2
C) 2√2 D) 3√3
 
Answer & Explanation Answer: A) 2√3

Explanation:
Report Error

View Answer Report Error Discuss

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

0 1350