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Number System

The document covers various mathematical concepts related to number systems, including place value, perfect squares, factors, and prime factors. It includes specific problems and questions from competitive exams like RRB NTPC and SSC, focusing on finding values, factors, and divisibility rules. Additionally, it discusses concepts such as the sum and average of factors and includes examples of perfect numbers.

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mohityugalrai
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15 views110 pages

Number System

The document covers various mathematical concepts related to number systems, including place value, perfect squares, factors, and prime factors. It includes specific problems and questions from competitive exams like RRB NTPC and SSC, focusing on finding values, factors, and divisibility rules. Additionally, it discusses concepts such as the sum and average of factors and includes examples of perfect numbers.

Uploaded by

mohityugalrai
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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NUMBER SYSTEM

Place Value and Face value


Find the place value of 7 in 71,624 ?
(RRB NTPC 2021)
Find the difference between place value
and ethnic value of 6 in 516372
(RRB NTPC 2021)
Find the place value of 5 in 56789214?
Ssc chsl 2020
Perfect Square Numbers
2,3,7,8 1,4,5,6,9,0
Last two digits of a perfect square
number
237 323 449
FIND THE LEAST NUMBER THAT MUST BE
SUBTRACTED FROM 63522 TO MAKE THE RESULT A
PERFECT SQUARE
• A) 18 B) 20

• C) 24 D) 30
A GENERAL OF ARMY WANTS TO CREATE A
FORMATION OF SQUARE FROM 37286 ARMY MEN.
SOME ARMY PERSON REMAIN UNUSED
A) 37 B) 67

C) 83 D) NOT
FACTORS
Prime factors
WHAT ARE DISTINCT PRIME FACTORS OF 26381?

a. 29,17,37 b. 31,17,47

c. 19,37,13 d. 23,31,37 ( cds II 2021)


Find the nuber of prime factors in
product of (30^5 )* (24^5).

a. 45 b. 35
c. 10 c. 30 (ssc cgl mains 2019)
(20^16) * (28^15)
Calculate total number of prime
factors in expression (4^11 * 5^5 *
3^2 *13^2 )
a. 30 b. 31
c. 33 d. 32
If N= (3^14 + 3^13 – 12 ) then what is
the largest prime factor of N ?

a. 11 b. 79
c. 13 d. 73 ( ssc cgl mains 2022)
If 847*385*675*3025 = 3^a*5^b*7^c*11^d
then what will be the value of ab-cd

a. 4 b. 5
c. 1 d. 7 ( ssc cgl mains 2022)
Number of factors
Find the number of factors of 3600
a. 45 b. 44
c. 43 d. 42 (ssc cgl mains 2020)
Which of the following have the maximum
number of factors ?
a. 92 b. 98
c. 144 d. 152 (CHSL 2018)
Find the total number of factors in
2^71+2^72+2^73+2^74
a. 288 b. 292
c. 204 d. 156
If N = 4^11+4^12+4^13+4^14, then how
many positive factors of N are there ?
a. 92 b. 48
c. 50 d. 51 (cgl mains 2017)
Find the total number of factors of
5^13+5^12+5^11+5^10 ?

a. 132
b. 143
c. 46
d. 20
Find the total number of factors of 73^3 -
40^3 -33^3
a.16
b.96
c. 120
d. 36
43^3 – 36^3 – 7^3 is divisible by ?
a. 3 & 7 b. 7 &18
c. 6&3 c. both a and b
Given two prime number P and Q , what
could be the minimum numbers of
factors of PQ?
a. 2 b. 4
C. 3 d.5
How many factors of the number
2^8*3^6*5^4*10^5 are multiple of 120 ?

a. 540 b. 660
c. 594 d. 792
If N has 16 factors then N^2 will have how
many factors ?

a. 32 b. 40
c.45 c. 48
There are how many even factors of 72?
a.9
b.8
c.7
d.6
There are how many odd factors of
2^4*5^3*7^4 ?
a. 100
b. 99
c.20
d. 24
Sum of Factors
Average of factors
Product of factors
Perfect Number
Divisibility
Divisibility rule of 11

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