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 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:

Water boils at 212°F or 100°C and melts at 32°F or 0°C .  If the temparature of the particular day  is 35°C , it is equal  to :

A) 85°F B) 95°F
C) 96°F D) 97°F
 
Answer & Explanation Answer: B) 95°F

Explanation:

Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.

Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0),  if c = 35, then F = 95.

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6 7878
Q:

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

12.5×14÷8.75+42=50+?

A) 18 B) 12
C) 32 D) 42
 
Answer & Explanation Answer: B) 12

Explanation:

By replacing the “?” with “x”

(12.5×14÷8.75) x (100/100) + 42 = 50 + X

(125*140)/875 + 42 = 50 + X

140/7 + 42 = 50 + X

20 + 42 = 50 + X

62 = 50 + X

X = 62 - 50

X = 12

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0 7874
Q:

Which of the following statements is/are TRUE?

1. 64 + 0.64 + 0.0064 = 8.882. 81 + 0.81 + 0.0081 = 9.09

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: A) Only I

Explanation:
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0 7848
Q:

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

65% × 700 + √196 – 9 × 3 = ?

A) 522 B) 442
C) 402 D) 362
 
Answer & Explanation Answer: B) 442

Explanation:

As per the BODMAS rule, Addition and subtraction can be treated on same priority (from left to right) when they are in consecutive order.

65% × 700 + 14 - 9 × 3 65 × (700/100) + 14 - 27 455 + 14 - 27 = 442

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0 7776
Q:

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

534.596 + 61.472 - 496.708 = ? + 27.271

A) 126.631  B) 62.069
C) 72.089 D) 132.788
 
Answer & Explanation Answer: C) 72.089

Explanation:

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

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0 7707
Q:

Use continuity to evaluate the limit.

limx→128+x8+x

 

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:

Since, we have that,

The numerator and denominator is (8+x), which is a polynomial is continuous for all the real numbers i.e. for all x belonging to .

Thus, the limit exists and is given by,

limx→128+x8+x = 8+128+12= 1.

 

 

 

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0 7621
Q:

Which of the following statement (s) is/are TRUE?

I. 4√3 > 3√4

II. 8√2 > 2√8

A) Only I B) Only II
C) Neither I nor I D) Both I and I
 
Answer & Explanation Answer: D) Both I and I

Explanation:
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0 7577
Q:

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

69÷3×0.85+24.5-13.8=?

A) 31.75  B) 30.25 
C) 28.95  D) 35.25 
 
Answer & Explanation Answer: B) 30.25 

Explanation:

= (69x85/3x100) + 10.7

= 30.25.

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0 7485