Quantitative Aptitude-More exercise questions updated on Jan 2020
Number System is about the most important subject in quantitative aptitude. A number system is a system of writing for expressing numbers. It is the mathematical notation for indicating numbers of a given set by using numerals in a constant manner. It represents the arithmetic and algebraic structure of the figures and provides provides a unique representation to every number. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.

Number System-Exercise Questions

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Exercise Questions

 

1. The binary equivalent of the decimal number 125 is

a.1100100         b.1111101            c.1101100            d.1111111

    

2. The hexa decimal equivalent of the decimal number 128 is

a.128         b.175                     c.80                        d.81

 

3. The decimal number 1356 expressed in octal system equals

a.2514            b.125                     c.353                      d.235

 

4. The decimal conversion of the binary number (1111)2 is…..

a.31           b.15                       c.13                        d.14

 

5. The sum of (101101)2 and (111011)2 is

a.1010110       b.1101000            c.1000110            d.1110010

 

6. The square root of (2011)5 is

a.(21)5      b.(31)5                  c.(121)5                 d.(41)5

 

7. The sum of (6E)16 and (3B)12 is

a.(157)10       b.(137)11              c.(166)8                 d.(192)7

 

8. The decimal equivalent of hexa-decimal number (ABC)16

a.2847                   b.2748                   c.7428                   d.1478

 

9. The decimal fraction 0.75 in the binary system equals

a.0.11         b.0.00                    c.0.10                    d.0.111

 

10. The octal equivalent to the binary (11010)2 is

a.26          b.32                       c.28                        d.30

 

Answer & Exaplanations

 

1. Ans: (b).

 

2.Ans: (c).

 

3.Ans: (a).

 

4.Ans: (b)

(1111)2 = 1*23 + 1*22 + 1*21 + 1*20 = 8+4+2+1 = 15

 

5.Ans: (b).

 

6.Ans: (b).

(2011)5= 2*53 + 0*52 + 1*51 + 1*50 = 250+5+1= (256)10

The square root of (256)10 = (16)10 = (31)5

 

7.Ans: (a)

(6E)16 = 6*161 +14*160 = 96 + 14 = (110)10

(3B)12 = 3*121 + 11*120 = 36 + 11=(47)10

(110)10 + (47)10 = (157)10

 

8. Ans: (b)

(ABC)16 = 10*162 + 11*161 + 12*160  = 2560+176+12 = 2748.

 

9.Ans: (a)

 

10.(11010)2 = 1*24 + 1*23 + 0*22 + 1*21 +0*20 = 16+8+2 = (26)10

Number System is about the most important subject in quantitative aptitude. A number system is a system of writing for expressing numbers. It is the mathematical notation for indicating numbers of a given set by using numerals in a constant manner. It represents the arithmetic and algebraic structure of the figures and provides provides a unique representation to every number. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division. Freshersworld provides students or job seekers with the tricks and shortcuts to solve the problems related to number system. Number system-aptitude preparation questions and answers for placements is also provided which would help candidates in getting jobs easily. What are the four types of number system? Decimal number system (Base- 10) Binary number system (Base- 2) Octal number system (Base-8) Hexadecimal number system How many types of number are there? Natural Numbers Whole Numbers Integers Rational Numbers
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