model 1 basic number system Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on number system topic of quantitative aptitude

Questions : $√2$ is a/an

(a) rational number

(b) natural number

(c) irrational number

(d) integer

The correct answers to the above question in:

Answer: (c)

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Read more basic number system Based Quantitative Aptitude Questions and Answers

Question : 1

The number $√3$ is

a) a finite decimal

b) an infinite recurring decimal

c) equal to 1.732

d) an infinite non-recurring decimal

Answer: (d)

Question : 2

There are just two ways in which 5 may be expressed as the sum of two different positive (non-zero) integers, namely 5 = 4 + 1 = 3 + 2. In how many ways, 9 can be expressed as the sum of two different positive (non-zero) integers?

a) 3

b) 4

c) 5

d) 6

Answer: (b)

9 = 1+8 = 2+7 = 3+6 = 4+5

So it can be expressed in 4 ways

Question : 3

P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?

a) 16

b) 20

c) 35

d) 65

Answer: (c)

The possible combinations of (P, Q)

So that the product is 64 are 

(1, 64), (2, 32), (4, 16) and (8, 8)

∴ P+Q cannot be 35

Question : 4

The number $π$ is

a) a fraction

b) a recurring decimal

c) a rational number

d) an irrational number

Answer: (d)

Pi ($π$) is an irrational number

π is an irrational number that has a value of 22/7 or 3.142…and is a never-ending and non-repeating number.

Irrational numbers are non-terminating

Question : 5

Every rational number is also

a) an integer

b) a real number

c) a natural number

d) a whole number

Answer: (b)

Both rational and irrational numbers taken together are called Real numbers.

Therefore, every real number is either a rational number or an irrational number. Hence, every rational number is a real number.

Hence, (B) is the correct option.

Question : 6

Consider the following statements about natural numbers: (1) There exists a smallest natural number. (2) There exists a largest natural number. (3) Between two natural numbers, there is always a natural number. Which of the above statements is/are correct?

a) None

b) Only 1

c) 1 and 2

d) 2 and 3

Answer: (b)

1) There exists the smallest natural number - which is 1. So, true.

2) There exists a largest natural number - there is no upper limit to numbers. So, false.

3) Between two natural numbers there is always a natural number - for example, between 1 and 2 there is no natural number. So, false.

Hence, only option 1 is true.

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