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Arun Sharma Test: Number System- 1 - CAT MCQ


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15 Questions MCQ Test Quantitative Aptitude (Quant) - Arun Sharma Test: Number System- 1

Arun Sharma Test: Number System- 1 for CAT 2024 is part of Quantitative Aptitude (Quant) preparation. The Arun Sharma Test: Number System- 1 questions and answers have been prepared according to the CAT exam syllabus.The Arun Sharma Test: Number System- 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Arun Sharma Test: Number System- 1 below.
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Arun Sharma Test: Number System- 1 - Question 1

What is the Place Value and Face Value of 7 in 78654?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 1

Face Value of any number remains the same irrespective of the place, for 7 it is 7

Place Value = Place Multiplier x  Face Value 

= 10000 x 7
= 70000

Arun Sharma Test: Number System- 1 - Question 2

The difference between place value of two 9’s in 49891 is

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 2

The correct option is B. 8910
TTh Th H T O
4 9 8 9 1
The place values of 9's in the number 49891 are 9000 and 90.
So the difference = 9000 - 90 = 8910

Arun Sharma Test: Number System- 1 - Question 3

What is the Base of Hexadecimal Number System?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 3

(a) 8 is the Base of Octal Number System
(b) 16 is the Base of Hexadecimal Number System
(c) 2 is the Base of Binary Number System
(d) 10 is the Base of Decimal Number System

Arun Sharma Test: Number System- 1 - Question 4

Which of the following is a Real Number but not a Rational Number?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 4

(a) −√4 = −2 is a Real Number as well as a Rational Number
(b) −√3 is a Real number and an irrational number
(c) √−4 is an imaginary number

Arun Sharma Test: Number System- 1 - Question 5

Convert  in p/q form

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 5

► All the digits written once = 2116
► All the digits without Bar written once = 21
► Number of digits with bar after decimal = 2
► Number of digits without bar after decimal = 0
► Rational form = 

Arun Sharma Test: Number System- 1 - Question 6

√16 will not fall under which of the following categories?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 6

► √16 = 4, which is a natural number, rational number as well as a real number.

Arun Sharma Test: Number System- 1 - Question 7

(16a + 6) will fall under which of the following categories, a is an Integer

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 7

(16a + 6) will always be even, whether the a is odd or even.

  • For a = 1 (odd)
    (16 * 1) + 6 = 16 + 6 = 22 (even)
  • For a = 2 (even)
    (16* 2) + 6 = 32 + 6 = 38 (even)
Arun Sharma Test: Number System- 1 - Question 8

If (7a - 3) is odd then 'a' would be, a is an Integer

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 8

As it is given, 7a - 3 is odd

⇒ 7a = odd +3 i.e. even (say, x)
∵ a is an integer
⇒ For 7a = x, x should be completely divisble by 7
⇒ a = x/7 i.e. even/odd = even

Arun Sharma Test: Number System- 1 - Question 9

What is the smallest possible positive Integer?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 9
  • Option A: 0 is an integer but not positive(it is neutral).
  • Option B: 1 is an integer also positive and the smallest.
  • Option C:  0.5 is not even an integer.
  • Option D:  2 is an integer as well as positive but not the smallest.  
Arun Sharma Test: Number System- 1 - Question 10

Which of the following is a prime number?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 10
  • Option A: 93 is divisible by 3
  • Option B: 97 is not perfectly divisible by any number.
  • Option C: 95 is divisible by 5
  • Option D: 91 is divisible by 7
Arun Sharma Test: Number System- 1 - Question 11

1837 × 1712 × 1839 will be

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 11

We do not need to do the multiplication in this question.
► 1837 is Odd
► 1712 is Even
► 1839 is Odd

Odd x Even x Odd = Even

Only option 1 is Even rest all are Odd. 

Arun Sharma Test: Number System- 1 - Question 12

Largest 3 digit composite number is

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 12

► 999 is the Largest composite number, it is divisible by 1, 3, 9, 111, 333, 999. 

Arun Sharma Test: Number System- 1 - Question 13

What is the difference between 517th Whole number and 516th Natural Number?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 13

► 517th Whole number = 516
► 516th Natural Number = 516

  • 516 - 516 = 0
Arun Sharma Test: Number System- 1 - Question 14

Smallest Composite numbers is______.

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 14

► Prime and Composite are properties of Natural numbers.
► 0 is not a natural number.
► 1 is neither prime nor composite.
► 2 is a prime number divisible by 1 and 2 only.
► 4 is a composite number divisible by 1,2 and 4. Smallest among all. 

Arun Sharma Test: Number System- 1 - Question 15

How many pairs of consecutive prime numbers are there?

Detailed Solution for Arun Sharma Test: Number System- 1 - Question 15

► Only pair of consecutive prime numbers is (2, 3)

Consecutive (difference is 1) ==> only pair possible is (2,3), no other pair possible since 2 is the only even prime, any other 2 consecutive numbers will have an even number, which is not prime.

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