Data Sufficiency MCQ Quiz - Objective Question with Answer for Data Sufficiency - Download Free PDF

According to the statement I:  D is heavier than C who is heavier than both B and E.

⇒ D > C > B/E

This statement alone is not sufficient to answer the question as we don't know the relation between B and E.

According to the second statement 2 : D is not the heaviest.

This statement alone is not sufficient to answer the question as we need to identify the person who is the lightest.

If we combine the two statements, we get:

A must be heavier than D because C, B, and E are lighter than D.

⇒ A > D > C > B/E

Thus, even if we combine the two statements, we cannot determine who is the lightest as the relation between B and E cannot be determined.

Hence, "data is not sufficient" to answer the question.

Here, given persons A, E, I, K, O and U.

M visits temple on Thursday.

From statement I, Not less than two persons visit before I. Neither A nor H visits temple on Saturday. One person went to visit temple between I and O.

Therefore, statement I alone is sufficient to answer the given question.

From statement II, Neither I nor O went on Tuesday. Either A or L visits on Saturday. One person went to visit the temple between M and L. A did not go after O. Since, if try to place L on Tuesday then on Saturday we have to place A which contradicts the given condition Hence, the only possible arrangement is as follows

Therefore, statement II alone is sufficient to answer the question.

Hence, either statement I or statement II is sufficient to answer the question.

Here, given persons are B, H, I, L, M, R and S bottom floor is 1^st and top floor is 7^th.

From statement I, Only three persons sit between M and I who lives who lives below M. There is only one person live between B and L who lives three floors above I.

So, statement I alone is not sufficient.

From statement II, S lives on odd floor but neither on top nor on bottom floor. Two persons live between R and L. H doesn’t live above M. Since, this statement alone is not sufficient to answer the given question. Now, by combining both statements we get

Hence, the data in both statements I and II together are necessary to answer the question.

Given:

i. A fruit basket contains more apples than lemons.

Apples > Lemons.

ii. There are more lemons in the basket than there are oranges.

Lemons > Oranges

iii. The basket contains more apples than oranges.

Apples > Lemons > Oranges.

Thus, i and ii statement are true then iii statement is true.

Hence, the correct answer is "Option 1".

Given: "pu ma kas' means 'we eat mangoes'.

Statements: 

I. 'la ti kas' means 'we are graduate'.

II. 'hum tup pu' means 'they eat bananas'.

From I and II statements we conclude that both are sufficient to answer the question. So 'ma' is the code of 'mangoes'.

Hence, Statements I and II together are sufficient to answer the question.

Statements:

I) Neither P nor R is the tallest. S is taller than P.

S > P

II) P is taller than R and T. S is taller than Q, who is not shorter than P. So, we have the following arrangement.

⇒  P is taller than R and T.

→ P > T > R, or

→ P > R > T ....... (i)

⇒ S is taller than Q

→ S > Q ........   (ii)

⇒ Q is not shorter than P.

→ Q > P   ........ (iii)

Combining all these, we get:

S > Q > P > R/T > T/R

Therefore, S is the tallest.

Only statement II is sufficient to find the tallest person among P, Q, R, S and T.

Hence, option 3 is the correct answer. 

1) Distance between A and D is not specified. So, finding its midway and placing C is not possible. So, statement I alone is not sufficient to answer the question.

2) B is 3 km east of E.

So, statement II alone is not sufficient to answer the question.

3) Combination of statements I and II is not possible.

Statements:

(I) William is 15^th from the extreme left end of the row.

(II) David is exactly in the middle of the row and there are ten soldiers to his right.

So David rank 11th from the left.

When combining Statement I and II:

soldiers are there between William and David = William rank from right - David rank from right - 1

soldiers are there between William and David = 15 - 11 - 1 = 15 - 12 = 3

So, "3" soldiers are there between William and David

Hence, "Both I and II together are sufficient"

Statement I: F is heavier than H and J but is lighter than G.

G > F > H/J

Statement I alone is not sufficient to answer the question.

Statement II. H is heavier than I.

Alone statement II you cannot predict which is lightest among five.

Combining statement I and statement II.

G > F > H > I > J or G > F > H > J > I or G > F > J > H > I

Either I or J is lightest among them.

From statement 1: Y’s rank is 4 ranks below that of X and 30^th from the bottom.

Thus X’s rank is 34^th from the bottom.

As the total number of students is 50, X’s rank from the top will be 50 – 34 + 1 = 17

From statement 2: Z’s rank is 2 ranks above that of X and 32^nd from the bottom.

Thus, X’s rank is 30^th from the bottom.

As the total number of students is 50, X’s rank from the top will be 50 – 30 + 1 = 21

I. There are 20 boys in the class.

From this we cannot find the ratio of boys to girls in the class.

II. The ratio of girls to the number of students in the whole class is 3 : 7

So, the ratio of boys to girls in the class is 4 : 3.

Hence, statement II alone is sufficient while I alone is not sufficient. 

Important Points

• The question is asking about D's relation with F.
• For this, we must know the gender of D.

Statement I: B has two sisters E and F.

We cannot say how D is related to F using this statement.

Statement II: A is the mother of B, who Is the brother of D.

We cannot say how D is related to F using this statement.

Combining both statements, we get:

We cannot say how D is related to F because we don’t know the gender of D.

Hence, ‘Statement I and II together are not sufficient is the correct answer.

Mistake Points'B has two sisters E and F.' doesn't specify that B has only 2 sisters. Had the word only been given in the sentence, we could have concluded that D.

Using statement 1: Q < P, S and S > T

Using statement 2: Q < R < T

So, after joining both the statements Q < R < T < P, S.

Persons: A, B, C, D, and E.

I. A is taller than E but shorter than D.

D > A > E 

II. B is shorter than C but taller than E.

C > B > E

III. D is taller than C and A is taller than B.

D > C and A > B

Option 1: combining statements I and III:

D > A > E  and D > C and A > B

D > _  >  _ >  _  >  _  

D > C/A > A/C > B > E

Now, we can say that E is the shortest among A, B, C, D and E. Statements I, II, and III are sufficient.

Note: There is a discrepancy in the original question and marked options.

When statements 1 and 2 combinedly give the answer then obviously with the help of statement 3 we can also give the answer, but we need to choose the minimum statement required to give the answer.

Hence, Statements I and II together are sufficient is the correct answer.

According to statement 1, Swati’s husband and Namitha are siblings. So Swati is sister-in law of Namitha.

According to statement 2, Swati's brother is the cousin of Namitha’s husband but here gender of Swathi is not definite. So, we can't find the relation of Swathi with Namitha.