Ordering and Ranking MCQ Quiz - Objective Question with Answer for Ordering and Ranking - 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.

Statements 1 and 3 together:

L >__ >__ > __ > __ > N

Here, the data is insufficient to answer the question.

Statements 1, 2 and 3 together:

L >__ >__ > __ > __ > N

J > K

Here, the data is insufficient to answer the question.

Statements 1, 2, 3 and 4 together:

J > K > O

Case 1:

L >_J_ >_K_ > _O_ > _M_ > N

Case 2:

L >_M_ >_J_ > _K_ > _O_ > N

Now, this data is also insufficient as we are unable to determine the position of M.

Tani is at 12^th position from left.

If 11 are between them

Rani is at 13^th position from right.

Total students = 12 + 11 + 13 = 36

This proves 11 students are between them.

According to the question:

Statement I. Rohan is ranked 24th from the bottom, and there are more than 40 students in the row.

Total number of students = Rohan position from top + Rohan's position from bottom - 1

Total number of students = 24 + Rohan's position from bottom - 1

Here, total number of students cannot be determined. Therefore data in statement I alone is not sufficient to answer the question.

Statement II. The number of students ranked above Rohan is twice the number of students ranked below him.

Number of students ranked above Rohan = 2 x Number of students ranked below Rohan

Here, total number of students cannot be determined. Therefore data in statement II alone is not sufficient to answer the question.

Combining statement I and II: Rohan is ranked 24th from the bottom, and there are more than 40 students in the row. The number of students ranked above Rohan is twice the number of students ranked below him.

Number of students below Rohan = 24 - 1 = 23

Number of students below Rohan = Total number of students - 24

(Total number of students - 24) = 2 x 23

Total number of students = 46 + 24 = 70

Here, total number of students is 70, therefore data in both the statements I and II together are necessary to answer the question.

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

Hence, "Option 3" is the correct answer.

Given statements:

I. There are 45 students in the class.

Here, no information regarding Tina's rank is given, therefore statement I alone is not sufficient to answer the question.

II. 42 students scored less than Tina.

Here, no information regarding total number of students is given, therefore statement II alone is not sufficient to answer the question.

Combining I and II: There are 45 students in the class. 42 students scored less than Tina.

Tina's rank = 45 - 42 → 3rd rank from the end point. 

Thus, Both statement I and statement II together are needed to answer the question.

Hence, "Option 4" is the correct answer.

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. 

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.

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.

Given that:-

X, Y, T, U, and V, when arranged in ascending order of their weights.

1. X weighs less than T. U weighs twice as much as T.

• X < T, U = 2T ⇒ X < T < U  

• Here, there is no information about Y and V. Therefore, statement 1 alone is not sufficient.

2. The weight of Y and V is less than that of X.

• Y and V < X
• No information is given about T and U. Therefore, statement 2 alone is not sufficient.

From statements 1 and 2 we get the following cases:

• Case 1: Y < V < X < T < U
• Case 2: V < Y < X < T < U
• So, either V or Y would be second from the beginning.

Thus, statements 1 and 2  both are not sufficient to answer the question.

Hence, "option 4" is the correct answer.

1. P is heavier than S and V is lighter than S.

P > S > V

• Here, there is no information given about the weights of Q and W. Therefore, statement 1 alone is not sufficient.

2. Q is heavier than P and W is lighter than V.

Q > P, W < V

• No information is given about the weight of S. Therefore, statement 2 alone is not sufficient.

• From statements 1, and 2:-

Q > P > S > V > W . So, S is in the middle.

• Here, statements 1, and 2 together are sufficient.

Hence, "option 4" is the correct answer.

Statements :

I. A is heavier than L → A > L

II. L is lighter than J → J > L

III. P is heavier than L and J → P > L and J

IV. J is heavier than K → J > K

By using all the statements 1, 2, 3, 4 → P > J > L; J > K; A > L;

P is heavier than J but we can’t say whether A is heavier or lighter than J.

According to the given information,

Statement (I): D weighs more than only two people. E weighs more than A but less than B.

So,

_ > _ > D > _ > _

B > E > A

Statement (II): A weighs more than C but less than E. E is not heavier than B.

So,

E > A > C

B > E

Combining both the statements,

B > E > D > A > C

Therefore, Data in both statement I and II together are sufficient to answer the question.

Let us check every statement individualy,

1. Nitu is the tallest → Data in this statement is inadequate since, only 1 person is mentioned here. Therefore statement 1 alone is not sufficient.

2. Tarun is taller than Manav → Data in this statement is inadequate since, only 2 persons are mentioned here. Therefore statement 2 alone is not sufficient.

3. Hema is the shortest of them all → Data in this statement is inadequate since, only 1 persons is mentioned here. Therefore statement 3 alone is not sufficient.

4. Manav is taller than Priya → Data in this statement is inadequate since, only 2 persons are mentioned here. Therefore statement 4 alone is not sufficient.

Since, no statement alone is sufficient now we can go through the options given,

From 1^st option combining all 1, 2, 3, and 4 statement together we get,

Nitu > Tarun > Manav > Priya > Hema