Latest Elitmus Aptitude Question SOLUTION: there may be mistake in the qes. not sure. (a-b)^2=1 & (a+b)^2=25 values of a,b? i)a is a prime no ii)a<2

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(#M40038117) ELITMUS Logical Reasoning question Data sufficiency Keep an EYE

there may be mistake in the qes. not sure.

(a-b)^2=1 & (a+b)^2=25
values of a,b?

i)a is a prime no
ii)a<2

Asked In Elitmus Liti (9 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

HARISHANKAR YADAV  (9 years ago)

atq
value of
set(a,b)={(-2,-3),(3,-2),(-3,2),(2,3)}
frm 1stmnt

some value is prime and some is nt..but a should have unique value.
so i cant satisfied
frm stmnt 2
not all value of a

Is this solution Helpfull? Yes (4) | No (2)  

ANJALI VERMA  (9 years ago)

i is true.

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

NAZIA KAUSHAR  (9 years ago)

(a-b)^2=a2-2ab+b2=1
a2+b2=1+2ab;...........................(1)
also, (a+b)^2=a2+2ab+b2=25
a2+b2=25-2ab..........................(2)
frm (1)& (2)
ab=6
so ab can be (1,6) , (6,1) ,(2,3) ,(3,2) and also its -ve values

case 1:- a is prime
1 is neither a prime nor composite no and -ve no cannot be prime and also 6 is not a prime no, hence we r left with options (2,3) ,(3,2) but we dn't have clear values for a and b

case 2: - a

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

Aparna Bajpai  (9 years ago)

with i ans can find

Is this solution Helpfull? Yes | No (1)  

piyush  (9 years ago)

second condition is:
|a|>2

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ankit shw  (9 years ago)

both statements are necessary
(a-b)^2=(b-a)^2

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kirti narang  (9 years ago)

(a, b)=(2,3), (3,2), (-2,-3), (-3,-2)
1) a is prime
(3,2) (-3,-2)
2) a

Is this solution Helpfull? Yes | No   

saripalli abhinay  (9 years ago)

a-b=1
a+b=5
by solving answer for a=3
so its a prime
i is trye

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SHALINI SHARMA  (8 years ago)

(a) If a is prime no. it cannot be -ve
no. could be (2,3) & (3,2)
becoz (2-3)^2=1 & (2+3)^2=25 similarly for (3,2)
since there are two option we cannot find the value of a,b specifically
(b) since only possible values are (2,3) & (3,2)
so a

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Dharamveer Singh   (8 years ago)

It's answer should be (-2,-3) and satisfied to both conditions

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