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:

If x2 + kx + k = 0 has no solution, then the value of k will satisfy

 

A) k < 4 B) k > -4
C) k > 4 D) 0 < k < 4
 
Answer & Explanation Answer: D) 0 < k < 4

Explanation:
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7 59865
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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16 59363
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 58896
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 57471
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 56899
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 56517
Q:

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

A) 30 birds B) 60 birds
C) 72 birds D) 90 birds
 
Answer & Explanation Answer: A) 30 birds

Explanation:

Let the no of shots be x. Then, 

Shots fired by A =(5/8)x

Shots fired by B = (3/8)x 

Killing shots by A = 1/3 of (5/8)x  = (5/24)x

Shots missed by B = 1/2 of (3/8)x = (3/16)x 

(3/16)x = 27  x =144

Birds killed by A = (5/24)x = (5/24)*144 = 30

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120 55455
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 55191