Latest Elitmus Aptitude Question SOLUTION: in how many different ways 1998 can be written into the sum of two or more consecutive positive even numbers ??? ex- 1998 = 998+1000 op: 5,6,7,8,9

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(#M40151557) ELITMUS Category question Keep an EYE

in how many different ways 1998 can be written into the sum of two or more consecutive positive even numbers ???
ex- 1998 = 998+1000

op: 5,6,7,8,9

Asked In Elitmus rohit sharma (9 years ago)

Solved siddharth prakash singh Read Solution (5)

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siddharth prakash singh  (9 years ago) Best Solution

Ans is 7 ways.
Using 2 consecutive positive even numbers..
x+x+2=1998
x=998
so 998+1000=1998
Using 3 consecutive positive even numbers .
x+x+2+x+4=1998
x=664
so 664+666+668=1998.
Using 6 consecutive positive even numbers .
x+x+2+x+4+x+6+x+8+x+10=1998
x=328
so 328+330+332+334+336+338=1998

similarly using 9 consecutive positive even numbers .
we get x=214
using 18 consecutive positive even numbers .
we get x=94
using 27 consecutive positive even numbers .
we get x=48
using 37 consecutive positive even numbers .
we get x=18
so total of 7 different ways.

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Ashima Sabharwal  (9 years ago)

Siddarth Prakash Singh: Is there any way to find upto which number you should try to find the sum like you have proceeded to 37 for the count...???

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sekhar  (9 years ago)

answer is( how many factors does 1998)/ 2 has . i.e 14/2 =7

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bhagya shri  (9 years ago)

two sides of triangle are 50m and 8m, third side is n, find out the n??
a)392 b) 390 c) 398 d) 395

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ASHVINI TULSIDAS SHAHARE  (9 years ago)

can any one help for elitmus preparation..........please guide me which site ,book i need to follow.
or if you have any practice papers please inform me please on these email id shahareashwini92@gmail.com

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