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:

Statement I: There are 30 students in the class.

This statement tells us the total number of students.

Therefore, Statement I alone is not sufficient to determine Sarita's rank.

Statement II: There are 10 students who scored less than Sarita.

This statement indicates that 10 students are strictly behind Sarita in terms of score.

This means if we were to count from the bottom (lowest score), Sarita would be at the 11th position (10 students below her + Sarita herself).

However, we do not know the total number of students in the class. 

Therefore, Statement II alone is not sufficient to determine Sarita's rank.

Combining Statement I and Statement II:

From Statement I, we know the Total number of students = 30.

From Statement II, we know that 10 students scored less than Sarita.

Rank from Top = (Total number of students) - (Number of students below Sarita)

Sarita's Rank = 30 - 10 = 20th.

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

Hence, the correct answer is "Option 4".

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"

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.

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.

• Statement I: Sujatha's birthday can be on → Wednesday or Thursday or Friday.

Thus, Statement I alone is not sufficient as no definite answer can be given.

• Statement II: Sujatha's birthday can be on → Tuesday or Wednesday

Thus, Statement II alone is not sufficient as no definite answer can be given.

• Combining data in Statement I and Statement II:

Sujatha's birthday can be on → Wednesday

Thus, both statements are required.

Hence, 'option 4' is the correct answer.

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.

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.

Statement I: Ram is shorter than Rohan and elder than Mohan.

Rohan > Ram 

and Ram is elder than Mohan means age comparison not height.

Statement I alone is not sufficient to answer who is the shortest person.

Statement II: Mohan's height is higher than Rohan and Anu.

Mohan > Rohan and Anu

Statement II alone is not sufficient to answer who is the shortest person.

Statements I and II:

Rohan > Ram

Mohan > Rohan and Anu

Statements I and II together are not sufficient to answer who is the shortest person.

Hence, Statements I and II together are not sufficient.

From Statement I: A man is 3^rd from the beginning of the queue.

Cannot determine the number of people in the queue.

From Statement II: A man is 20^th from the center of the queue.

Cannot determine the number of people in the queue.

From Statement III: A man is 7^th from the end and 17th from the beginning.

From only statement III, we can find the total number of people in the queue:

A man is 7th from the end so there are 6 persons after the man + 17^th from the beginning so there are 16 persons before the man + the man himself = 6 + 16 + 1 = 23

so, there are 23 people in the queue.