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Some important questions for Number Systems for upcoming Bank and SSC Exams

Posted on - 04-02-2017

QA Math Number System

Bank PO

Example.1

4568 x 75 - 12345 = ? + 5555

Solution     

799400 - 12345 = ? + 5555


&⇒
? = 799400 - 12345 - 5555


&⇒
? = 781500

example.2

= ?

Solution

=

= ? =

example.3    

Simplify:

Solution

Hence the expression when simplified becomes

example.4    

Simplify :

Solution     

By substitution let 5.71 = a and 3.21 = b. .

The expression when simplified gives

which is equal to (a - b)

As a = 5.71 and b = 3.21 .

a - b = 2.5 .

example.5    

Simplify:

(2.25)3 + 6.75 x (2.75)2 - 8.25 x (2.25)2 - 2.753 .

Solution

By substituting 2.25 = a and 2.75 = b, the expression when simplified gives .

a3 + 3ab2 - 3a2b - b3 = (a - b)3

As a = 2.25 and b = 2.75 .

(a - b)3 = (-0.5)3 = -0.125 .

example.6    

Arrange the following fractions in descending order. and

Solution     

Take the LCM of the denominators and then compare the numerators. .

LCM of 9, 7 and 2 = 126

Comparing the numerators, 72 > 70 > 63

Hence > >

example.7    

Arrange and in ascending order.

Solution     

Let us make each of the denominators equal, to the LCM of the denominators of the fractions

LCM (48, 4, 96) = 96

As the denominators are equal, comparing the numerators 24 < 25 < 26

Hence < <

example.8    

Simplify:

Solution     

Applying BODMAS rule,

of

Hence the expressions when simplified gives

= [15 + 31] = 46

example.9    

(3+ 4)(5+ ) - 24 = ?

Solution     

7x 6– 24 = ?

= ? = 84 - 24 = 60

Example.10

Solution     

108 x 78 - 3025 = + 5329


&⇒
= 8424 - 3025 - 5329


&⇒
= 70 \ ? = (70)2 = 4900

 
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