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 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

A) -3 B) 3
C) -6 D) 6
 
Answer & Explanation Answer: A) -3

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1298
Q:

The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?

A) x = -7; y = 7 B) x = 3; y = -3
C) x = 7; y = -7 D)  x = -3; y = 3
 
Answer & Explanation Answer: C) x = 7; y = -7

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1297
Q:

What is the equation of a line which has 3 as x-intercept and -5 as y-intercept?

A) 3x - 5y = 15 B) 5x - 3y = 15
C) 5x + 3y = 15 D) 3x + 5y = 15
 
Answer & Explanation Answer: B) 5x - 3y = 15

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1297
Q:

If √(1+tan2A) = x, then the value of x is

A) sinA B) cosecA
C) secA D) cosA
 
Answer & Explanation Answer: C) secA

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1297
Q:

If a -­ b = 3 and ab =28, then a3 - b3 is

A) 279 B) 387
C) 513 D) 91
 
Answer & Explanation Answer: A) 279

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1295
Q:

ax + 3y = 6 has slope -2/3. What is the value of a?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1294
Q:

If sin - 4π/3 = x, then the value of x is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1293
Q:

If 5x - 4 ≤ 2 - x and 4x + 5 > 2x - 5, then x can take which of the following values?

A) 3 B) 6
C) -7 D) -1
 
Answer & Explanation Answer: D) -1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams , CAT

0 1292