Elitmus
Exam
Category
Number between 1 to 301. Find the non prime numbers is not divisible by 2,3,5,7.
Read Solution (Total 10)
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- The answer is=5+4+1=10
non prime no. which are not divisible by 2,3,5,7 can not be divisible by 4,6,8,9 also.
So only the Product of prime no.s which are less than 301 will be the answer.
so range of prime no.s are (11,13,17,19,23)
11*(any of the 5 prime No.) - 9 years agoHelpfull: Yes(3) No(0)
- (11,13,17,19,23)
(23*11)=253 noprime
(23*13)=299 noprime
(19*11)=209 noprime
(19*13)=247 noprime
(17*11)=187 noprime
(17*13)=221 noprime
(17*17)=289 noprime
(11*13)=143 noprime
(13*13)=169 noprime
(11*11)=121noprime
ans 10
- 9 years agoHelpfull: Yes(3) No(0)
- My approach:
Multiplication of prime with itself or other primes gives composite numbers. So
11*11=121
11*13=143
11*17=187
11*19=209
11*23=253
11*29=319 which is not in range of 1-301 so we cant conider it
13*13=169
13*17=221
13*19=247
13*23=299
17*17=289
17*19=323 which is not in range of 1-301 so we can't consider it..so 10 would be my answer . - 9 years agoHelpfull: Yes(2) No(1)
- 299
non prime can be divided by only 13 - 9 years agoHelpfull: Yes(1) No(1)
- non prime no. which are not divisible by 2,3,5,7 can not be divisible by 4,6,8,9 also.
So only the Product of prime no.s which are less than 301 will be the answer.
so range of prime no.s are (11,13,17,19,23)
11*(any of the 5 prime No.) - 9 years agoHelpfull: Yes(0) No(1)
- 121,143,299 are some of the numbers
- 9 years agoHelpfull: Yes(0) No(1)
- answer is 79
refer solved example 1.33 of ARUN SHARMA QUANT of chapter number systems..
- 9 years agoHelpfull: Yes(0) No(1)
- Answer will be 69.
- 9 years agoHelpfull: Yes(0) No(0)
- (11,13,17,19,23) = 5C3 =10
- 9 years agoHelpfull: Yes(0) No(0)
- 7
11*13,11*17,11*19,11*23
13*17,13*19,13*23 - 9 years agoHelpfull: Yes(0) No(0)
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