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:

What is the value of (cot45 - √2) ?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 959
Q:

What is the equation of the line which has 3/2 and -­4/7 as x and y intercept respectively?

A) 8x ­- 21y = ­-12 B) 8x + 21y = 14
C) 8x -­ 21y = 12 D) 8x + 21y = ­-14
 
Answer & Explanation Answer: C) 8x -­ 21y = 12

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 958
Q:

What is the value of (tan60 - 1/3) ?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 958
Q:

One of the roots of the equation x2 - 4x + k = 0 is x = 3. The other root is

A) x = -1 B) x = -4
C) x = 1 D) x = 4
 
Answer & Explanation Answer: C) x = 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 956
Q:

If 2(3x ­- 4) -­ 2 < 4x ­- 2 ≥ 2x -­ 4; then the value of x is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 956
Q:

If 2 + 2x < 3 + 5x and 3(x -­ 2) < 5 -­ x; then x can take which of the following values?

A) 1 B) 3
C) -1 D) -2
 
Answer & Explanation Answer: A) 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 955
Q:

What is the value of a2 + b2a3 - b3, when a + b = 8 and a - b = 2?

A) 0.313 B) 0.347
C) 0.368 D) 0.381
 
Answer & Explanation Answer: B) 0.347

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 955
Q:

If 1 = 2, 3 = 6, 4 = 8, and + = -, what would be the value of 41 + 34 + 13 = ?

A) -88 B) 88
C) 12 D) -12
 
Answer & Explanation Answer: D) -12

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 954