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22 Nov 2022, 02:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
41% (02:40) correct
59%
(02:22)
wrong
based on 69
sessions
History
Date
Time
Result
Not Attempted Yet
How many positive integers less than 40 have six positive factors?
A. 2
B. 3
C. 4
D. 5
E. 6
A. 2
B. 3
C. 4
D. 5
E. 6
12= 2^2*3^1
No. of factors= (2+1)*(1+1)=6
18= 3^2*2^2
No. Of factors= (2+1)*(2+1)=6
20= 5^1*2^2
No. Of factors= (1+1)*(2+1)=6
28= 7^1*2^2
No. Of factors= (1+1)*(2+1)=6
32=2^5
No. Of factors= = 5+1=6
12, 18,20,28 and 32 are five numbers less than 40 which have six positive factors.
Answer is option D IMO
Posted from my mobile device
No. of factors= (2+1)*(1+1)=6
18= 3^2*2^2
No. Of factors= (2+1)*(2+1)=6
20= 5^1*2^2
No. Of factors= (1+1)*(2+1)=6
28= 7^1*2^2
No. Of factors= (1+1)*(2+1)=6
32=2^5
No. Of factors= = 5+1=6
12, 18,20,28 and 32 are five numbers less than 40 which have six positive factors.
Answer is option D IMO
Posted from my mobile device
Archit3110
22 Nov 2022, 02:55
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Possible numbers less than 40 with 6 +ve factors
2^5:32
2^2*(3,5,7) :12,20,28
3^2*(2): 18
Total 5
Option D
Posted from my mobile device
2^5:32
2^2*(3,5,7) :12,20,28
3^2*(2): 18
Total 5
Option D
Bunuel
Posted from my mobile device
