Reasoning

Number Systems and Series

143 Questions

Number systems and series questions assess the ability to manipulate numerical values and spot patterns. The focus includes digit arrangements, binary conversions, and identifying largest or smallest numbers. These reasoning tasks are common across major competitive examinations.

Digit manipulationLargest and smallest numbersBinary number systemsPositional numeral systemsNumber series ranking

Number Systems and Series Questions

Multiple choice

Which of the following is correct, if we add 1 to the greatest 5 digit number in any number system?

  1. We will get the least 6 digit number in that number system.

  2. We will get the greatest 6 digit number in that number system.

  3. We will get a 5 digit number only.

  4. We will get a number with 6 zeroes.

  5. We will get a number with 1 as the rightmost digit.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If one is added to the greatest number of any number of digits, it gives the least number of next number of digits in that number system.

Multiple choice

Which system of numerals does not have zero?

  1. Indian Numerals

  2. Arabic Numerals

  3. Roman numerals

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Roman numerals use letters like I, V, X, L, C, D, M to represent numbers but have no symbol for zero. The concept of zero as a number was developed in Indian mathematics and later adopted by Arabic numerals.

Multiple choice

If in the number 589463271, all the odd digits are first arranged in an ascending order and then all the even digits are arranged in an ascending order, which digit will be second to the right of the fifth digit from the right end?

  1. 5

  2. 6

  3. 2

  4. 4

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is the correct answer. According to the given condition, after arrangement, we get 1 3 5 7 9 2 4 6 8. In this arrangement, we observe that 4 is the second digit to the right of the fifth digit from the right end.

Multiple choice

What is the successor of 99,999?

  1. Smallest 5-digit number

  2. Largest 5-digit number

  3. Smallest 6-digit number

  4. Largest 6-digit number
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The successor of 99,999 is 100,000 which is the smallest 6-digit number.

Multiple choice

Arrange the following integers in ascending order:

8, 5, - 7, - 12, 0 and - 9
    • 12, - 7, - 9, 0, 5 and 8

  2. 0, - 12, - 9, - 7, 5 and 8
    • 12, - 9, - 7, 0, 5 and 8

  4. 8, 5, 0, - 7, - 9 and - 12

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Arranging in ascending order means to write numbers in an order starting from the smallest to the largest. So, ascending order for the given integers is: - 12, - 9, - 7, 0, 5 and 8.