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 Simplification Questions

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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:

What should come in place of question mark (?) in the following question?

115 ÷ 5 + 12 × 6 = ? + 64 ÷ 4 - 35

A) 95 B) 136
C) 102 D) 74
 
Answer & Explanation Answer:

Explanation:

 As per the BODMAS rule, the priority in which the operations should be done is:

Priority wise operations Symbol
B-Bracket ()
O-of of
D-Division /,÷
M-Multiplication *,x
A-Addition +
S-Subtraction -

Note: Addition and subtraction can be treated on same priority (from left to right) when they are in consecutive order.

(115/5) + 12 × 6 = ? + (64/4) – 35 23 + 72 = ? + 16 – 35 95 = ? - 19 95+19 = ? ? = 114

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Q:

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

A) 35 B) 38
C) 40 D) 42
 
Answer & Explanation Answer: B) 38

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

4x – (60 – x) = 130

=> 5x = 190 

=> x = 38

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266 88361
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

Explanation:
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6 87165
Q:

If a+b=5 and 3a+2b=20,then (3a+b)will be :

 

A) 20 B) 15
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

a+b=5   ...(1)    and    3a+2b=20 ...(2)

 

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

 

Putting a=10 in (1), we get : b=-5

 

Therefore,   (3a+b) = 3 x 10+(-5)=30-5=25.

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24 86978
Q:

{8 - (28 - 53)} / {-4 x 5 - (-9)} = ?

 

A) 11 B) -3
C) 3 D) -11
 
Answer & Explanation Answer: B) -3

Explanation:
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Q:

If √21 = 4.58, then the simplified value of 837 - 373

 

A) 0.474 B) 0.752
C) 0.655 D) 1
 
Answer & Explanation Answer: C) 0.655

Explanation:
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Q:

Simplify the following :

4 15 × 3 13 + ? = 20% of 120

A) 10 B) 24
C) 36 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

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1 77004
Q:

If (57)4x. (75)3x-1 = (75)6, then find the value of x which satisfies the equation.

 

A) -1 B) -7
C) 1 D) 7
 
Answer & Explanation Answer: B) -7

Explanation:
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