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 (8x ­- 4) = (3x + 6), then the numerical value of (x + 1)3 is

A) 3 B) 9
C) 27 D) 81
 
Answer & Explanation Answer: C) 27

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1412
Q:

If a and b are the roots of the equation Px2  Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

A) Q2-2P2R+PPR2 B) Q2-2PRR+PPR2
C) Q2-2R2P+RP2R2 D) Q2-2PR2R+2PP2R2
 
Answer & Explanation Answer: B) Q2-2PRR+PPR2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1411
Q:

Calculate the value of 55-5, if the value of √5 = 2.236.

A) 0.809 B) 0.89
C) 0.089 D) 0.807
 
Answer & Explanation Answer: A) 0.809

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1411
Q:

What is the value of 5.6x0.36+0.42x3.20.8 x 2.1 ?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1410
Q:

What is the simplified value of cosec Acot A + tan A2 ?

A) 2cos 2A B) 1 – sin2 A
C) sec2A D) secA tanA
 
Answer & Explanation Answer: B) 1 – sin2 A

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1410
Q:

The value of (sec245 - cot245) - (sin230 + sin260) is

A) 1 B) 2√3
C) 0 D) 1/√2
 
Answer & Explanation Answer: C) 0

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1408
Q:

The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?

A) 4312√6 B) 3822√6
C) 4522√6 D) 4642√6
 
Answer & Explanation Answer: A) 4312√6

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1408
Q:

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A) 1 B) 2 tan x
C) tan 2 x D) tan (3 x/2)
 
Answer & Explanation Answer: B) 2 tan x

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1408