Sawaal

 Simplification Questions

Popular Latest Rated Important Formulae

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:

2 sec2A is equal to

A) (1 - tanA)2 - (1 + tanA)2 B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2] D) (1 - tanA)2 + (1 + tanA)2
 
Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2565
Q:

If x=8+215, then what is the value of x+1x?

A) 2√15 B) 3√5
C) (3√5+√3)/2 D) 3√2+3
 
Answer & Explanation Answer: C) (3√5+√3)/2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2564
Q:

If sec2A + cosec2A = X, then the value of X is

A) tan2A cot2A B) sinA cosA
C) secA cosecA D) sec2A cosec2A
 
Answer & Explanation Answer: D) sec2A cosec2A

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2564
Q:

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

A) (P + 1)/(P – 1) B)  (P2+ 1)/2P
C) 2(P2+ 1)/P D)  2P/(P2+ 1)
 
Answer & Explanation Answer: D)  2P/(P2+ 1)

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 2563
Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2560
Q:

If 4x = √5+ 2, then the value of x - 1/16x is

A) 1 B) -1
C) 4 D) 2√5
 
Answer & Explanation Answer: A) 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

11 2547
Q:

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

A) 9 : 4 : 25 B) 25 : 4 : 9
C) 64 : 25 : 49 D) 49 : 25 : 64
 
Answer & Explanation Answer: C) 64 : 25 : 49

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2528
Q:

If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2?

A) 1/600 B) 1/60
C) 1/36 D) 1/360
 
Answer & Explanation Answer: C) 1/36

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 2527