Latest Elitmus Aptitude Question SOLUTION: If dP1, dP2, ........,dP24 are the difference between 24 prime numbers in series. 89 is the 24th Prime numbers Find the sum of dP1 + .... + dP24? (8th june Elitmus) A) 85 B) 89 C)

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(#M40037274) ELITMUS Numerical Ability question Prime number Keep an EYE

If dP1, dP2, ........,dP24 are the difference between 24 prime numbers in series. 89 is the 24th Prime numbers Find the sum of dP1 + .... + dP24? (8th june Elitmus)
A) 85 B) 89 C) 95 D) 97

Asked In Elitmus yatinkarel (10 years ago)

Solved RAKESH Read Solution (6)

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Read Solution (6) :

RAKESH  (10 years ago)

25 prime no.s b/n 1 & 100 are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

difference b/n two primes
dp1 =p2-p1= 3-2 =1
dp2 =p3-p2= 5-3 =2
...
dp24 = p25-p24 = 97-89 = 8

1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8

sum = dP1 + .... + dP24 = 95

Is this solution Helpfull? Yes (94) | No (4)  

naga malleswara rao yaganti  (9 years ago)

let dp1=p2-p1
dp2=p3-p2....
dp24=p25-p24
so dp1+dp2+...dp24=p25-p1=97-2=95

Is this solution Helpfull? Yes (63) | No (3)  

raushan kumar  (10 years ago)

25 prime no.s b/n 1 & 100 are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

difference between two prime number is...

1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8

sum = 1+ 2*8 + 4*7 + 7*6 +8 = 95

Is this solution Helpfull? Yes (14) | No   

Yogesh Khichi  (10 years ago)

hey, please discuss the skyscraper swaying problem as well

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Raj Kumar Ray  (9 years ago)

gus wont the question be "If dP1, dP2, ........,dP24 are the difference between 25 prime numbers in series" --

Is this solution Helpfull? Yes (4) | No   

yagyesh  (8 years ago)

2,3,5.........97 are the prime nos...
then the sum of differences...
(3-2)+(5-3)+(7-5)+(11-7)+(13-11)+........+(89-83)+(97-89)
all terms cancels out except -2 and 97
so ans 97-2 =95

Is this solution Helpfull? Yes (4) | No (1)  

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