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:

The value of(1(p-n)(n-q)+1(n-q)(q-p)+1(q-p)(p-n)) is

A) 1 B) 0
C) p+q+n D) 2np+q
 
Answer & Explanation Answer: B) 0

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification

0 1827
Q:

What is the value of cot 5π/3?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1826
Q:

Simplify : 69 X 69 X 69 -65 X 65 X 669 X 69 + 69 X 65 + 65 X 65

A) 1 B) 4
C) 0.216 D) 0.164
 
Answer & Explanation Answer: B) 4

Explanation:

69 –65 = 4

69
65 = 4
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1823
Q:

A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

A) 7 km/hr B) 11 km/ hr
C) 26 km/hr. D) 33 km/hr
 
Answer & Explanation Answer: D) 33 km/hr

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1823
Q:

Find k, if the line 2x- ­3y = 11 is perpendicular to the line 3x + ky = -­4?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1819
Q:

If xy = 48 and x2 + y2 = 100, then (x + y) is

A) 12 B) 16
C) 18 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

4 1813
Q:

If a + b = 11 and a2+ b2= 61, then value of ab is

A) 12 B) 96
C) 24 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 1813
Q:

9997 x 10003 = ?

A) 9999991 B) 99999911
C) 99999991 D) 9999911
 
Answer & Explanation Answer: A) 9999991

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1813