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:

Find the unit place in 194102+294103

A) 0 B) 6
C) 8 D) 2
 
Answer & Explanation Answer: A) 0

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1443
Q:

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

A) 1000 B) 9000
C) 1 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1441
Q:

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1440
Q:

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

A) -3 B) -2
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1440
Q:

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

A) 30 B) 45
C) 60 D) 75
 
Answer & Explanation Answer: A) 30

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1439
Q:

If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?

A) -9 B) 0
C) 1 D) 9
 
Answer & Explanation Answer: C) 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1439
Q:

If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3  3abc?

A) 121 B) 168
C) 300 D) 770
 
Answer & Explanation Answer: D) 770

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1439
Q:

If 3x - 10 = -(2x + 5), then the numerical value of (x - 4)3 is

A) 27 B) 125
C) -125 D) -27
 
Answer & Explanation Answer: D) -27

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1439