Quantitative Aptitude

Number System and Digits

374 Questions

Number system and digits questions test the ability to manipulate numbers, identify significant digits, and form specific values. These problems often require finding missing digits or determining the properties of large sums. They form a vital component of the quantitative aptitude section.

Number formationMissing digitsSignificant digitsLargest and smallest numbersDigit sum properties

Number System and Digits Questions

Multiple choice

A company provides its 20-digit alphanumeric raw data combining the employee ID of 5 characters and PF number of 7 digits and remaining digits as 0,0 in cell number A2. Which of the following functions can be used to extract the PF number for each employee?

  1. MID(A2,5,7)

  2. MID(A2,1,7)

  3. MID(A2:A30,6,14)

  4. MID(A2,6,12)

  5. MOD(A2,6,20)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This function extracts data in cell A2, from 6th character up to 12 character.This will give the PF number.

Multiple choice

An arbitrary number system has a radix of 32 with ‘0’ to ‘9’ and ‘A’ to ‘V’ as its 32 basic digits, ‘0’ being the first and ‘V’ being the 32nd. The number immediately following ‘V’ in the arbitrary number system will be

  1. (V0)32

  2. (10)32

  3. (V1)32

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In any number system with radix r, after exhausting all single digits (0 to V, where V is the (r-1)th digit), the next number is written as 10 (meaning 1×r¹ + 0×r⁰). In base-32, 'V' is the 31st digit (index 30), so 'V' is followed by (10)₃₂.

Multiple choice

The number 2006 is made up of exactly two zeros and two other digits whose sum is 8. What is the number of 4 digit numbers with these properties (including 2006)?

  1. 14

  2. 7

  3. 20

  4. 21

  5. 22
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Since it is a 4 digit number, first digit cannot be 0. Case 1: (When 0's are at 3rd and 4th place) Possible cases are (7,1), (6,2), (5,3), (4,4), (3,5), (2,6), (1.7), i.e. there are 7 possible cases. Similar cases are possible for CASE 2: (When 0's lie at 2nd and 3rd place). Similarly, there are 7 possible cases for CASE3 (When 0's lie at 2nd and 4th place). Total number of cases is 21. Hence, this is the correct option.

Multiple choice

Which of the following digits is at ten thousands place in 937950?

  1. 9

  2. 7

  3. 5

  4. 3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

3 is at ten thousands place in 937950 ||||||| |---|---|---|---|---|---| |

Hundred thousands
|
Ten thousands
|
Thousands
|
Hundreds
|
Tens
|
Units
| |
           9
|
         3
|
       7
|
     9
|
  5
|
  0
|  
 

Multiple choice

Represent 1710 in binary number system.

  1. (10001)2

  2. (01110)2

  3. (01111)2

  4. (1111)2

  5. (01110)10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is the correct answer.  1's complement of (10001)2 is 01110  2's complement of (01110)2 is 01110 + 1 = 01111