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 sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

A) 125√3 B) 147√3
C) 156√3 D) 169√3
 
Answer & Explanation Answer: B) 147√3

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1464
Q:

5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?

A) 200 B) 215
C) 240 D) 250
 
Answer & Explanation Answer: A) 200

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

3 1460
Q:

The least value of tan2x + cot2x is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 1457
Q:

If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1 B) 31/17
C) 17/31 D) 14/25
 
Answer & Explanation Answer: C) 17/31

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1456
Q:

What is the value of ( 1/3 ­- cot60°) ?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1452
Q:

If ab = 21 and a+b2a-b2 = 254,then the value of a2+b2+3ab

A) 115 B) 121
C) 125 D) 127
 
Answer & Explanation Answer: B) 121

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1450
Q:

If √3 = 1.732, then the value of 9+233?

A) 7.169 B) 7.196
C) 5.198 D) 7.296
 
Answer & Explanation Answer: B) 7.196

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1448
Q:

Calculate the value of 61681x61681-31681x3168130000

A) 93352 B) 94362
C) 93362 D) 95362
 
Answer & Explanation Answer: C) 93362

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 1447