Latest Elitmus Aptitude Question SOLUTION: Choice 1- if the question can be answered using one of the statements alone, while the other statement is not sufficient to answer the question. Choice 2- if the question can be an

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(#M40039136) ELITMUS Logical Reasoning question Data Sufficiency Keep an EYE

Choice 1- if the question can be answered using one of the statements alone, while the other statement is not sufficient to answer the question.
Choice 2- if the question can be answered using each of the statements independently
Choice 3- if both the statements together are needed to answer the question
Choice 4- if both the statements independently or taken together are not sufficient to answer the question

question :
if (a+b)^2=25 and (a-b)^2=1
1)a is prime
2)|a|>2 and a is a natural number

Asked In Elitmus sumit singh (9 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

ABHIJIT   (9 years ago)

only 2nd statement is needed,
by solving eqs.we get
a=3 or 2 or -3 or -2
in 2nd statement is given that a is a natural no. so a=2 or 3 & also give that |a|>2 then a=3

Is this solution Helpfull? Yes (30) | No (1)  

Arti  (9 years ago)

Both statements are needed to answer as:-
(a+b)^2=25 i.e, a+b=5.....(i)
(a-b)^2=1 i.e, a-b=1.....(ii)
from (i) and (ii)[eqn(i)+eqn(ii)]
2a=6 i.e a=3 which is a prime no
and|a|>2 and is natural no.
so both statements together needed to ans this.

Is this solution Helpfull? Yes (10) | No (8)  

Mukesh Nayal  (9 years ago)

Choice1 is the correct answer because using statement 2 only we can get the answer

Is this solution Helpfull? Yes (3) | No   

Abhinaba Kar  (9 years ago)

Choice 3
to get the value of "a" we must calculate the value of "b".SO we need both the equation

Is this solution Helpfull? Yes (1) | No   

Shivankur Pal  (9 years ago)

From the two equations value of a and b can be:
3,2
2,3
-3,-2
-2,-3

both numbers are prime so we don't require statement 1
|a|>2 therefore, a can be 3 or -3
therefore, values of a and b can be:
3,2 or,
-3,-2

Since we cannot find the solution through the above 2 statement
the answer is "Choice 4" ;-)

Is this solution Helpfull? Yes (1) | No (2)  

NARESH KUMAR  (9 years ago)

Answer will be choice 2.

Is this solution Helpfull? Yes (1) | No   

Jyoti Kumari  (9 years ago)

both statement are necessary

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Talluri ramya  (9 years ago)

Choice 1 is the correct answer.statement 2 is enough to get the answer.

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pallavi kumari  (9 years ago)

choice 4 because a=3

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Varsha Pal  (9 years ago)

ans) choice 3
solving two equations :- a+b=5 & a-b=1,,, we get a=3 and b=2
if only 2nd option is considered then there are many nos. greater than 2
hence we need to consider 1st option also that a is prime..

Is this solution Helpfull? Yes | No   

shrishti singh  (8 years ago)

using the two given equations we will arrive at 4 equations
which will yield 4 set of values for (a,b) pair..they are

a=3 , b=2
a=2 , b=3
a=-3 ,b=-2
a=-2 ,b=-3

so if use first statement only that is a is prime and all prime numbers are natural numbers so
last two negative values are eliminated and among first two a=3 is prime so according to this statement a=3 and b=2 is the answer

now if i use the second statement then a=3 or a=-3 but its also written as a is a natural number so
a=3 and b=2 is the answer

so the solution can be found using either statement alone

Is this solution Helpfull? Yes | No (1)  

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