Reasoning

Number Systems and Series

164 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

If the digits 5, 4 and 9 are arranged, _____.

  1. the numbers beginning with 5 will be 549 and 594

  2. the numbers beginning with 4 will be 459 and 495

  3. the numbers beginning with 9 will be 945 and 954

  4. All the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

All the above options are correct.

Multiple choice

If the digits 4, 6 and 0 are arranged, _____.

  1. the smallest three-digit number which can be formed by given digits is 406

  2. the largest three-digit number which can be formed by given digits is 640

  3. the largest three-digit number which can be formed by given digits is 406

  4. All are correct
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The statement 'the largest three-digit number is 406' is false. 

Multiple choice maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

Which of the following will be the last digit of the second highest number after the positions of the digits in each number is reversed? 

$738, 429, 156, 273, 894$.

  1. $1$
  2. $2$
  3. $4$
  4. $7$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
The given sequence is : $738,429,156,273,894$
After reversing the digits, the sequence becomes : $837, 924, 651, 372, 498$.
The second highest number is $837$ and it's last digit is $7$.
Hence, $7$ is the correct answer.
Multiple choice maths numbers and place value face value of digit large numbers general form of number

Study the following number sequence and answer the given question.
5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6
How many even numbers are there in the sequence which are immediately preceded by an odd number but immediately followed by an even number?

  1. 1

  2. 2

  3. 3

  4. 4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In the given sequence there are 3 such combinations where an even number is immediately preceded by an odd number and immediately followed by even number.


5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6
Answer is Option $C$.

Multiple choice maths pattern patterns in number operations magic squares magic square
$12$ $15$ $54$
$37$ $14$ $102$
$71$ $23$ $?$
  1. $168$
  2. $178$
  3. $188$
  4. $190$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Looking at the rows, we can analyze the pattern between the numbers. For the first row, (12 + 15) * 2 = 54. For the second row, (37 + 14) * 2 = 102. Following this rule for the third row, (71 + 23) * 2 = 94 * 2 = 188.

Multiple choice maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

Arrange in ascending order:
$1,234; 2,345; 6,784; 1,543$

  1. $1,234; 2,345; 6,784; 1,543$
  2. $1,234; 1,543; 2,345; 6,784$
  3. $1,543; 1,234;2,345; 6,784$
  4. $1,543; 1,234; 6,784; 2,345$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Comparing digits at thousand's place followed by hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$1,234; 1,543; 2,345; 6,784$