DS 14/03

Find the fourth consecutive even number?

(I) the sum of the last two numbers is 30
(II) the sum of the first two numbers is 22

a. Statement (1) ALONE is sufficient, but statement (2) alone is insufficient.

b.Statement (2) ALONE is sufficient, but statement (1) is insufficient.

c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

d. EACH statement ALONE is sufficient.

e,Statements (1) and (2) TOGETHER are NOT sufficient


Mohammad Arshad 15/3/09 5:22 AM  

In my Opinion ans is D
Let even nos be 2n , 2n+2, 2n+4 and 2n+6.
(a) By statement (2n+4) + (2n + 6) = 30
or 4n+ 10= 30
or 4n = 30 - 10 = 20
or 2n = 20=2 ie 10
now we can find out 3rd n 4th even no by adding 4 and 6 to 2n= 10 ie 14 and 16 respectively. Thus Sufficient.

(b) Similarlyby same logic we will get first two even no as 10 and 12. Thus we are able to find out fourth even even no . Thus Sufficient.

So ans should be D

Harish 16/3/09 3:11 AM  

I guess the answer is E) both a and b are not sufficient.

It has been asked to find the fourth consecutive even number, but its not sure whether the numbers are in specific order. Arshad has assumed it to be incresing order , it can be of decreasing order or just random,

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  • COBBLED - Repair or mend
  • ABHORRENCE - Hate coupled with disgust
  • INCUMBENCY - The term during which some position is held
  • MITIGATE -Lessen or to try to lessen the seriousness or extent of
  • dubious - Open to doubt or suspicion
  • FOSTERING - Encouragement; aiding the development of something
  • ELICIT- Call forth (emotions, feelings, and responses)
  • PLAUSIBLE - Apparently reasonable and valid, and truthful
  • FORGE - Move ahead steadily
  • BOLSTER (V)-Support and strengthen
  • ECCENTRIC- A person with an unusual or odd personality
  • PATRONAGE - The act of providing approval and support
  • IMPERVIOUS - Not admitting of passage or capable of being affected

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