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

From statement I:

Thus, statement I alone is not sufficient to answer the question.

From statement II:

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

From statement III:

Thus, statement III alone is not sufficient to answer the question.

On combining statements I, II and III:

Hence, all the statements are required to answer the question.

Statement 1 : 

'LIFE' is written as ©@52  → We can not determine the code of individual letters.

Statement 2:

'POEM' is written as 5#*3 →  We can not determine the code of individual letters.

By combining both of the statements:

The data in both Statement 1 and Statement 2 are not sufficient to answer the question because the code for 'V' is still unknown.

Hence, 'The data in both Statement 1 and Statement 2 are not sufficient to answer the question' is the correct answer.

1) A is the brother of B and son of C and D.

Implies, C and D are the parents of A and B.

2) E is B's husband and F's father.

Implies, B is the sister of A. Also, F is the child of B and E.

(1) B is the only daughter of C and D → It is clear from the above family tree diagram that B is the only daughter of C and D.

(2) D is the maternal grandfather of F → Implies, D is the husband of C and it further implies that C is the mother of A.

(3) F is the only grandson of C → Implies, F is a male.

(4) A is the son of C → It is clear from the above family tree diagram that A is the son of C.

Hence, C is the mother of A, and the data in "option (2)" is sufficient to answer the question.

By statement (I) :

Pillar P is to the south of Pillar X, which is to the west of Pillar B. Pillar Q is to the north of Pillar B.

By this statement, we can say that Pillar P is in South - West direction with respect to the pillar Q.

By statement (II) :

Pillar P is to the southeast of Pillar B. Pillar X is to the southeast of Pillar Q.

By this statement, we can not determine the position of pillar P with respect to pillar Q

Hence, data in statement (I) is sufficient to give the answer.

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.

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.

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.

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.

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.