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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:

A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is:

A) 28 litres B) 32 litres
C) 35 litres D) 42 litres
 
Answer & Explanation Answer: C) 35 litres

Explanation:

Let the capacity of the tank be x litres.

 

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

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33 20112
Q:

Simplify 2392-21+8-72=?2

 

A) 4 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: C) 6

Explanation:

?2 = 2×78-21+8+49-148= 57 - 21=36=> ? = ±6

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15 19712
Q:

Find the value of 

n+3n2+9n4+......∞

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

Explanation:
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4 19376
Q:

Simplify

39.96% of 649.85 ÷13.07 = 45.14 - ?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 ÷13.07 = 45.14 - ? can be written as 

40% of 650 ÷13 = 45 - ?

 

40 x 65010013 = 45 - ?? = 45 - 20? = 25.

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4 18186
Q:

Simplify the following equation ?

2003 x 2004 - 2001 x 2002 = ?

A) 8010 B) 8020
C) 8030 D) 8040
 
Answer & Explanation Answer: A) 8010

Explanation:

(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.

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3 17657
Q:

Simplify the following equation

55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

A) 226.65 B) 196.55
C) 202.35 D) 216.66
 
Answer & Explanation Answer: A) 226.65

Explanation:

55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

 

 55.55

155.00

 15.55

   0.5

   0.05

_______

226.65

_______

 

Hence, the value of the given equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = 226.65.

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5 16229
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 15782
Q:

Simplify the following and find the value of ?

 

13 of ? + 47 of 114 of 539 = 31% of 2000

A) 1134 B) 1237
C) 1187 D) 1249
 
Answer & Explanation Answer: A) 1134

Explanation:

13 x ? + 47 x 114 x 539 = 31100 x 2000? = 378 x 3? = 1134

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17 15253