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:

1.123 + 11.23 + 112.3 = ?

 

A) 123.453 B) 124.653
C) 125.253 D) 123.953
 
Answer & Explanation Answer: B) 124.653

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0 1867
Q:

Find the factors of (x2 - x - 132)?

 

A) x - 11x - 12 B) (x + 12)(x - 11)
C) (x + 11)(x + 12) D) (x - 12)(x + 11)
 
Answer & Explanation Answer: D) (x - 12)(x + 11)

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2 2094
Q:

What is the simplified value of 5 + 45 - 4 + 5 - 45 + 4 ?

 

A) 9 B) 10
C) 18 D) 20 
 
Answer & Explanation Answer: C) 18

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0 2618
Q:

 

A) 110 B) 220
C) 330 D) 440
 
Answer & Explanation Answer: C) 330

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2 197
Q:

What is the value of 6x2 - 5y26x2 + 5y2, if x = 13 and y = 15?

 

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

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0 3692
Q:

The two equations are 4x + 4ky-6=0 and x+6y-12=0. Find the value of k for the pair of two linear equations represents the parallel lines.

 

A) 2 B)  6
C) 8 D) 10
 
Answer & Explanation Answer: B)  6

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1 188
Q:

Find the y-intercept of the line joining two points (1, 3) and (3, 5).

 

A) -2 B) 0
C) 2 D) 4
 
Answer & Explanation Answer: C) 2

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0 1441
Q:

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

 

A) 35 B)  36
C) 37 D) 38
 
Answer & Explanation Answer: D) 38

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0 247