9. Is the square root of A an integer?
(1) The last digit of A is 8 .
(2) A is divisible by 6.

Statement 1 is sufficient. A perfect square cannot end with 8.
Statement 2 is not sufficient.

If a, b and x, y, are all real numbers and a : b = 2 : 3, then what is (b + 3y) : (3a + 8x)?
I. x : y = 3 : 4
II. x : y = 4 : 5

1)if the question can be answered by using statement I alone but not by using statement II alone.

2)if the question can be answered by using statement II alone but not by using statement I alone.

3)if the question can be answered by using both the statements together but not by either of the statements alone.

4)if the question can be answered by using either of the statements alone.

5)if the question cannot be answered on the basis of the two statements.


Puys plz sove this

I think the answer is A
We have 3a=2b and 4x=3y
We need the value of (b+3y)/(3a+8x). In the denominator, substitute a and x with (2b/3) and (3y/4) respectively. The ratio becomes 1:2.

My ans C.

Thanks
Ashish

@Ashish- How is statement B sufficent? They've just mentioned '2 out of 4 terms'. They haven't mentioned which two terms are 2 and 4. The numbers can be 1,2,3,4 or 2,4,6,8 right? Could you please explain how you got to the answer? My answer would be A

9. Is the square root of A an integer?
(1) The last digit of A is 8 .
(2) A is divisible by 6.

Hi Pratiksha09, Srihari123

Can you Plz Post the OA.?
Thanks
Ashish

If a, b and x, y, are all real numbers and a : b = 2 : 3, then what is (b + 3y) : (3a + 8x)?
I. x : y = 3 : 4
II. x : y = 4 : 5

1)if the question can be answered by using statement I alone but not by using statement II alone.

2)if the question can be answered by using statement II alone but not by using statement I alone.

3)if the question can be answered by using both the statements together but not by either of the statements alone.

4)if the question can be answered by using either of the statements alone.

5)if the question cannot be answered on the basis of the two statements.


Puys plz sove this

Ans 5) can not be answered by both the equation,

consider a=3,b=4 n a=-3,b=-4 ration is same but not the value of (b + 3y) : (3a + 8x).
Thanks
Ashish

Plz post OA soon

Mark (a) if the question can be answered by using the statement A alone, but not by using the statement
B alone.
Mark (b) if the question can be answered by using the statement B alone, but not by using the statement
A alone.
Mark (c) if the question can be answered by using either of the statements alone.
Mark (d) if the question cannot be answered even by using both the statements together but not by
either of the statements alone.

Q-The arithmetic mean of four arithmetic series A1, A2, A3 and A4 is 4, 7, 8 and 9 respectively. What
is the sum of the four arithmetic series?

A- The total number of terms in the four mentioned series A1, A2, A3 and A4 is 3, 7, 9 and 11 respectively.

B- The total number of terms in the four mentioned series is in a Arithmetic Progression. The number
of terms in two out of the four mentioned series is 2 and 4.

My ans C.

Thanks
Ashish

If a, b and x, y, are all real numbers and a : b = 2 : 3, then what is (b + 3y) : (3a + 8x)?
I. x : y = 3 : 4
II. x : y = 4 : 5

1)if the question can be answered by using statement I alone but not by using statement II alone.

2)if the question can be answered by using statement II alone but not by using statement I alone.

3)if the question can be answered by using both the statements together but not by either of the statements alone.

4)if the question can be answered by using either of the statements alone.

5)if the question cannot be answered on the basis of the two statements.


Puys plz sove this

Mark (a) if the question can be answered by using the statement A alone, but not by using the statement
B alone.
Mark (b) if the question can be answered by using the statement B alone, but not by using the statement
A alone.
Mark (c) if the question can be answered by using either of the statements alone.
Mark (d) if the question cannot be answered even by using both the statements together but not by
either of the statements alone.

Q-The arithmetic mean of four arithmetic series A1, A2, A3 and A4 is 4, 7, 8 and 9 respectively. What
is the sum of the four arithmetic series?

A- The total number of terms in the four mentioned series A1, A2, A3 and A4 is 3, 7, 9 and 11 respectively.

B- The total number of terms in the four mentioned series is in a Arithmetic Progression. The number
of terms in two out of the four mentioned series is 2 and 4.

A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.

Taking A) let the no of pens be a-d,a,a+d
so, a-d+a+a+d=57, therefore, a=19
AP is 18 19 20 ..eldest son gets 20

Taking B) 1 7 49 are in GP..so eldest son gets 49


Ques can be answered using either of the A or B.

correct???

Question can not be answered even by using both the statements together.

Suppose, we take statement A:
Then the middle aged son gets 19 pens. But, we can't predict about the other two sons' possessions.

From statement B:
let say they have a, ar, ar^2 no of pens
so, a(r^3 - 1)/(r-1) = 57
or, a(r^2 + r + 1) = 3 x 19 or 1*57
a cant be 19, so, a =3,
but using this we are not getting any integer value of r.
if a = 1 then we will get r = 7.
so, three numbers will be, 1,7,49

So, statement B alone can answer the question.
Please confirm in case of any aberrations.

Just try this combination 1, 7, 49. It satisfies.

One more set of values is possible. For the time being, I leave it upto you to find that

Please find my corrections in bold green. :splat:
I could not find out any other combination though. :shocked:

kuldeep yadav Says

i think both A nd B r required..from a we get 19 wid common difference zero..wid B we get common ratio 1 so 19...any flaw plz point

The question is telling that the eldest son will receive the maximum no. of pens, So, it can be inferred that their possessions of pens will be different.

i think both A nd B r required..from a we get 19 wid common difference zero..wid B we get common ratio 1 so 19...any flaw plz point

Question can not be answered even by using both the statements together.

Suppose, we take statement A:
Then the middle aged son gets 19 pens. But, we can't predict about the other two sons' possessions.

From statement B:
let say they have a, ar, ar^2 no of pens
so, a(r^3 - 1)/(r-1) = 57
or, a(r^2 + r + 1) = 3 x 19
a cant be 19, so, a =3,
but using this we are not getting any integer value of r.
So, this statement is of no use.
And even by combining both of them we can not answer the question.

Please confirm in case of any aberrations.

Just try this combination 1, 7, 49. It satisfies.

One more set of values is possible. For the time being, I leave it upto you to find that

A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.

Question can not be answered even by using both the statements together.

Suppose, we take statement A:
Then the middle aged son gets 19 pens. But, we can't predict about the other two sons' possessions.

From statement B:
let say they have a, ar, ar^2 no of pens
so, a(r^3 - 1)/(r-1) = 57
or, a(r^2 + r + 1) = 3 x 19
a cant be 19, so, a =3,
but using this we are not getting any integer value of r.
So, this statement is of no use.
And even by combining both of them we can not answer the question.

Please confirm in case of any aberrations.

A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.

can be said from statement A alone.

A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest son receives the highest number of pens. What will be the number of pens received by the eldest son?

A. The number of pens received by the sons are in Arithmetic Progression.
B. The number of pens received by the sons are in Geometric Progression.

can be answered by (a) only.
as root(x)>y
so, x>(y^2) and x is always positive.
so, we can say that x>y (whether y is -ve or +ve)
but b says (x^3)>y,
here let x=2, y=1
then, x>y
now let x=2, y=7,
so, x

consider x=0.01 and y=0.02;

for this case root(x)>y and x 0.2 but 0.01 < 0.02 ;



consider x=9 and y=2 ;
for this case root(x)>y and x>y ;
root (9)=3 > 2 and 9 >2 ;


So we cant say by using only 1st statement ... so we need to consider both statements to arrive at a conclusion ..

guravus Says

Both the statements are required to answer the question.
here's the breakdown-
french(boy)+spanish(boy)=6+y(let)
frensh(girl)+spanish(girl)=x(let)+8
so, as per the first statement,
x+y=21.......(i)
as per the second statement,
8+y< x+6
or, x>y+2,......(ii)
combining i and ii
it can be said that max(x)=12.
so, both statements are required.
the can be can not be determined also (confused), as the breakdown of boys and girls is not given. please post the OA

Q) Is x > y?

(1) x > y
(2) x^3 > y

can be answered by (a) only.
as root(x)>y
so, x>(y^2) and x is always positive.
so, we can say that x>y (whether y is -ve or +ve)
but b says (x^3)>y,
here let x=2, y=1
then, x>y
now let x=2, y=7,
so, x

deepak_pgi Says

The question can not be answered even by using both the statements together?

when both statements are combined x^1/2 > y ; x^3 > y

this can be multiplied as x should be positive , then equation will be
x^7 > y^4


by combining both the statements we can say x>y .

when both statements are combined x^1/2 > y ; x^3 > y

this can be multiplied as x should be positive , then equation will be
x^7 > y^4


by combining both the statements we can say x>y .

Sorry i thought in a wrong way .. it can't be proved like that .

No , it cant be solved using both the statements .

it is implied when we combine both the statements that x>0

take 3 case
1=> x=1/16 y=1/7;
2=>x=2 y=7;
3=> x=9 y=7;

by this we can say that data is not sufficient .


P.s : If i am wrong kindly correct me ..

No , it cant be solved using both the statements .

it is implied when we combine both the statements that x>0

take 3 case
1=> x=1/16 y=1/7;
2=>x=2 y=7;
3=> x=9 y=7;

by this we can say that data is not sufficient .


P.s : If i am wrong kindly correct me ..

Q) Is x > y?

(1) x > y
(2) x^3 > y

The question can not be answered even by using both the statements together?

Hi friends ,

I am confused about my answer can any one confirm me what the correct answer ??


thank you in advance . :)

Question :



choice 1 : if the question can be solved by using one statmnt and can't be solved by another statement .
choice 2: if the question can be solved by either statement alone .
choice 3: if can be answered by both statements together .
choice 4: if can't be solved by both statements together .


i have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class , such that each girl gets at least one apple but no orange but each boy gets one apple and atleast one orange . Can apples be distributed equally to all the 21 students ? Assume
that the number of fruits of a variety , distributed for any person is always an integer .

A. The number of apples is a multiple of 7
B. The oranges can be distributed equally to all the boys .




My answer : choice 1 (by statement B we can say that we cant distribute equally )

my bad...actually i did not solve the root equation..i assumed a value will be obtained...

ya as we r getting two psitive values one greater than 20 and the other less than 20 we can select one only if we know whether 20 is longer side or not.

Srihari123 Says

u can use any formula but unless it is mentioned that 20 is longest side or not, we will get 2 values for 3rd side

yes thats wat i wanna say...
that if we apply that square root formula,we will get two roots...
n so for data sufficiency we need distinct ans...

u can use any formula but unless it is mentioned that 20 is longest side or not, we will get 2 values for 3rd side

s_k_ Says

both statements required

which formula will u use to calculate d 3rd side ?

cannot be determined is the answer

what is the 3rd side of a triangle?

1) 2 sides are 10m & 20m
2) area is 80sq.m

Data sufficiency

both statements required

what is the 3rd side of a triangle?

1) 2 sides are 10m & 20m
2) area is 80sq.m

Data sufficiency

guravus Says

statement 1 is sufficient to answer the question?

cannot be determined

:clap::clap:correct..:clap:
Q>> If n and k are positive integers, is (n+k)^1/2 > 2( n)^1/2 ?
(1) k > 3n
(2) n + k > 3n
now I will switch to sleep mode

(n+k)^1/2 > 2( n)^1/2
squaring on both sides
n+k>4n
=> K>3n

Q) Is x > y?

(1) x > y
(2) x^3 > y

statement 1 is sufficient to answer the question?

The question given below is followed by two statements, A and B. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using either statement alone.
Mark (b) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

Q. Each student in a class opts for one of the two foreign languages French and Spanish. Six boys opt for French and eight girls opt for Spanish. What is the maximum possible number of girls who opt for French?
A. The total number of students in the class is 35.
B. The students who opt for Spanish are fewer than the students who opt for French.

Q) Is x > y?

(1) x > y
(2) x^3 > y

Let paula sold 'p' tickets and sandy sold 's' tickets.. => s + p = 100

(1) Sandy(s) = 2p/3 ... thus, 2p/3 + p = 100 => p = 60 & s = 40..

- This statement is 'SUFFICIENT'..

(2) As the total number of raffle tickets sold is unknown.. => No. of tickets sold by Sandy or Paul cannot be found..

- This statement is 'NOT Sufficient'

Therefore, the correct answer is 'Statement 1 alone is sufficient'..... :-)

:clap::clap:correct..:clap:
Q>> If n and k are positive integers, is (n+k)^1/2 > 2( n)^1/2 ?
(1) k > 3n
(2) n + k > 3n
now I will switch to sleep mode

Q> Paula and Sandy were among those people who sold
raffle tickets to raise money for Club X. If Paula and
Sandy sold a total of 100 of the tickets, how many of
the tickets did Paula sell?
(1) Sandy sold 2/3 as many of the raffle tickets
as Paula did.
(2) Sandy sold 8 percent of all the raffle tickets sold
for Club X.

Let paula sold 'p' tickets and sandy sold 's' tickets.. => s + p = 100

(1) Sandy(s) = 2p/3 ... thus, 2p/3 + p = 100 => p = 60 & s = 40..

- This statement is 'SUFFICIENT'..

(2) As the total number of raffle tickets sold is unknown.. => No. of tickets sold by Sandy or Paul cannot be found..

- This statement is 'NOT Sufficient'

Therefore, the correct answer is 'Statement 1 alone is sufficient'.....

Q> Paula and Sandy were among those people who sold
raffle tickets to raise money for Club X. If Paula and
Sandy sold a total of 100 of the tickets, how many of
the tickets did Paula sell?
(1) Sandy sold 2/3 as many of the raffle tickets
as Paula did.
(2) Sandy sold 8 percent of all the raffle tickets sold
for Club X.

guravus Says

The question cannot be answered even by using both the statements together as we dont have any relation between the no. of men and women

:clap::clap:bingo!!

1. What is the value of x| ?
(1) x = x
(2) x2 = 4
note:It is a DS question

(1) The absolute value of x, |x, is always
positive or 0, so this only determines that x
is negative or 0; NOT sufficient.
(2) Exactly two values of x (x = 2) are possible,
each of which gives the value 2 for x;
SUFFICIENT.
statement 2 alone is sufficient.

Q. What percent of a group of people are women with
red hair?
(1) Of the women in the group, 5 percent have
red hair.
(2) Of the men in the group, 10 percent have
red hair.

The question cannot be answered even by using both the statements together as we dont have any relation between the no. of men and women

Q. What percent of a group of people are women with
red hair?
(1) Of the women in the group, 5 percent have
red hair.
(2) Of the men in the group, 10 percent have
red hair.

Yes :thumbsup::thumbsup:
Approach Please

x2=4
x=+2,-2
+2=-2=2
which gives the required value

guravus Says

just 2 is sufficient to answer the question?

Yes :thumbsup::thumbsup:
Approach Please

1. What is the value of x| ?
(1) x = |x
(2) x2 = 4
note:It is a DS question

just 2 is sufficient to answer the question?

1. What is the value of x| ?
(1) x = -
(2) x2 = 4
note:It is a DS question