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:

23-[24-25-(26-27-28¯)]=?

 

 

A) -2 B) -3
C) -1 D) 1
 
Answer & Explanation Answer: C) -1

Explanation:
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17 65777
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 65411
Q:

1397 x 1397 = ?

Here what replaces '?' 

A) 1951609 B) 1821504
C) 2031489 D) 1847879
 
Answer & Explanation Answer: A) 1951609

Explanation:

1397 x 1397

Number System mcq solution image

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17 64527
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 63294
Q:

The value of 0.592 ÷ 0.8 = ?

 

A) 7.4 B) 0.74
C) 740 D) 0.074
 
Answer & Explanation Answer: B) 0.74

Explanation:
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0 62140
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 61356
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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1 60766
Q:

Simplify the following equation

[K-L2-K+L2]4K = a/b

A) K = b /a B) bL = -a
C) KL = 1 D) aK = -b
 
Answer & Explanation Answer: B) bL = -a

Explanation:

[(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab

 

=> - 4KL/4K = a/b

 

=> L = - a/b

 

=> bL = -a

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6 60592