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

Here, given car models are D, G, H, L, M, O, R, T and X; months are April, June and July and the given dates are 5, 14 and 17.

1) G launched on prime number date.

2) More than three models launched between T and R which is not launched in the month which has odd number of days.

3) G is launched immediately before T but one of the days after H.

4) Only three models launched between X and D which is launched before X.

5) M launched before L which is launched before T but in different months.

6) X is not the last car model to be launched.

7) D and R launched on different months. Therefore, case 1, case 2 and case 3 are eliminated.

8) The number of car models launched before M is one less than that of after X. Therefore, case 4(a), case 5(a) and case 5(b) are eliminated. Hence, the final arrangement is as follows

Hence, car model O launched just after X.

Here, given car models are D, G, H, L, M, O, R, T and X; months are April, June and July and the given dates are 5, 14 and 17.

1) G launched on prime number date.

2) More than three models launched between T and R which is not launched in the month which has odd number of days.

3) G is launched immediately before T but one of the days after H.

4) Only three models launched between X and D which is launched before X.

5) M launched before L which is launched before T but in different months.

6) X is not the last car model to be launched.

7) D and R launched on different months. Therefore, case 1, case 2 and case 3 are eliminated.

8) The number of car models launched before M is one less than that of after X. Therefore, case 4(a), case 5(a) and case 5(b) are eliminated. Hence, the final arrangement is as follows

Hence, car model L launched just after two months of R.

Here, given car models are D, G, H, L, M, O, R, T and X; months are April, June and July and the given dates are 5, 14 and 17.

1) G launched on prime number date.

2) More than three models launched between T and R which is not launched in the month which has odd number of days.

3) G is launched immediately before T but one of the days after H.

4) Only three models launched between X and D which is launched before X.

5) M launched before L which is launched before T but in different months.

6) X is not the last car model to be launched.

7) D and R launched on different months. Therefore, case 1, case 2 and case 3 are eliminated.

8) The number of car models launched before M is one less than that of after X. Therefore, case 4(a), case 5(a) and case 5(b) are eliminated. Hence, the final arrangement is as follows

Since, car models L and H launched in June and April respectively. Therefore, statement first is incorrect.

Car model M launched on 5th April. Therefore, statement second is also incorrect.

Car model G launched on 17th June and model T launched on 5th July. Therefore, statement third is correct.

Two car models launched between car models H and G. Therefore, statement third is incorrect.

Car model M launched just before the car model R. Therefore, statement fourth is incorrect.

Hence, the correct statement is Car models T and G launched in different months.

Here, given car models are D, G, H, L, M, O, R, T and X; months are April, June and July and the given dates are 5, 14 and 17.

1) G launched on prime number date.

2) More than three models launched between T and R which is not launched in the month which has odd number of days.

3) G is launched immediately before T but one of the days after H.

4) Only three models launched between X and D which is launched before X.

5) M launched before L which is launched before T but in different months.

6) X is not the last car model to be launched.

7) D and R launched on different months. Therefore, case 1, case 2 and case 3 are eliminated.

8) The number of car models launched before M is one less than that of after X. Therefore, case 4(a), case 5(a) and case 5(b) are eliminated. Hence, the final arrangement is as follows

Hence, four car models launched between H and X.

Here, given car models are D, G, H, L, M, O, R, T and X; months are April, June and July and the given dates are 5, 14 and 17.

1) G launched on prime number date.

2) More than three models launched between T and R which is not launched in the month which has odd number of days.

3) G is launched immediately before T but one of the days after H.

4) Only three models launched between X and D which is launched before X.

5) M launched before L which is launched before T but in different months.

6) X is not the last car model to be launched.

7) D and R launched on different months. Therefore, case 1, case 2 and case 3 are eliminated.

8) The number of car models launched before M is one less than that of after X. Therefore, case 4(a), case 5(a) and case 5(b) are eliminated. Hence, the final arrangement is as follows

Since, two cars launched between R and D.

Therefore, the incorrect statement is only one car model launched between D and T.

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.