COMPARISION BASED PROBLEMS SET-2

1.Compare the knowledge of persons X, Y, Z, A, Band C in relation to each other.

1.X knows more than A.

2.Y knows as much as B.

3.Z knows less than C.

4.A knows more than Y.

The best knowledge person amongst all is:  

(a) X

(b) Y

(c) A

(d) C

Answer is (a), Clearly, we have

A < X, Y = B,

z < C, Z < B, Y < A

thus the sequence becomes X > A >Y = B > C > Z.

So, X is the best knowledgeable person.

2.Five children were administrated psychological tests to know their intellectual levels. In the report, psychologists pointed out that the child A is less intelligent than the child B. The child C is less intelligent than the child O. The child B is less intelligent than the child C and child A is more intelligent than child E.

Which child is most intelligent?

(a) A

(b) B

(c) 0

(d) E 
(e) None of these 

Answer is (c), we have A < B, C < 0, B < C and E < A.
So, the sequence becomes: E < A < B < C < O.
Clearly, child 0 is most intelligent. 

3.In an examination, Raj got more marks than Mukesh but not as many as Priya. Priya got more marks than Oinesh and Kamal. Oinesh got less marks than Mukesh but his marks are not the lowest in the group.
Who is the second in the descending order of marks?  

(a) Priya

(b) Kamal

(c) Raj

(d) Cannot be determine

(e) None of these 

Answer is (c)
In terms of marks obtained
Mukesh < Raj, Raj < Priya, Dinesh < Priya, Kamal < Priya, Dinesh < Mukesh.
Since Dinesh mars are not the lowest, so Kamal's marks are the lowest. So, the sequence becomes: Kamal < Dinesh < Mukesh < Raj < Priya.
Clearly, in the descending order, Raj comes second.

Read the following information carefully and answer the questions

given below it:

(A)Gopal is shorter than Ashok but taller than Kunal.

(B) Navin is shorter than Kunal.

(C)Jayesh is taller than Navin.

(D)Ashok is taller than Jayesh.  

4.Who among them is the tallest?

(a) Gopal

(b) Ashok

(c) Kunal

(d) Navin

(e) Jayesh

5.Whisch of the given information is not necessary to answer the

above question?

(a) A

(b) B

(c) C

(d) D

(e) None of these 

Solution for 4th and 5th questions.
In terms of height we have : Gopal < Ashok, Kunal < Gopal, Navin < Kunal, Navin < Jayesh, Jayesh < Ashok.
So, the sequence becomes: Navin < Kunal < Gopal < Jayesh < Ashok.
Answer for 4th question is (b), Clearly, Ashok is tallest.

Answer for 5th question is (c), Clearly, statement C is not necessary.

6.B is twice as old as A but twice younger than F. C is half the age of A but twice the age of D.

Which two persons from the pair of oldest and youngest?

(a) F and A

(b) F and D

(c) Band F

(d) F and C

(e) None of these  

Answer is (b)
Let's A's age be x, then B's age is 2x. B is twice younger than F i,e F is twice older than B. So, F's age is 4x. C is half the age of A i,e C's age is x/2. C is twice the age of D i,e D is half the age of C i,e D's age is x/4. So, the descending order of ages is F, B, A, C, D.
Clearly, F is the oldest and is the youngest.  

Directions (questions 7 to 11) Read the following information and answer the questions given below it:

(l)Seven students P, Q, R, S, T, U and v take a series of tests.

(2)No two students get similar marks.

(3)V always scores more than P.

(4)P always scores more than Q.

(5)Each time either R scores the highest and t gets the least or alternatively S scores the highest and U or Q scores the least.

7.If S is ranked sixth and Q is ranked fifth, which of the following

can be true?

(a) V is ranked first or fourth third

(b) R is ranked second or

(c)P is ranked second or fifth fourth

(d) U is ranked third or

(e) T is ranked fourth or fifth.

8.If R gets more, V should be ranked not lower than:

(a) second

(b) third

(c) fourth

(d) fifth

(e) sixth

9.If R is ranked second and Q is ranked fifth, which of the following must be true?

(a) S is ranked third

(b) T is ranked sixth

(c) P is ranked sixth

(d)V is ranked fourth

(e) U is ranked sixth  

10.If S is ranked second, which of the following can be true?

(a) U gets more than V

(b) V gets more than S

(c) P gets more than R

(d)P gets more than V

(e) T gets more than Q

11.If V is ranked fifth, which of the following must be true?

(a) S scores the highest

(b)R is ranked second

(c) T is ranked third

(d)Q is ranked fourth

(e) U scores the least

Solution for 7th to 11th :

In terms of scores we have

V

>

P,

P

>

Q

i,e

V

>

P

>

Q.

If

R

scores

the

highest,

we

have

R

>

----------

>

T.

If

S

scores

the

highest,

we

have

S

>

-----------

>

Q

or

S

>

----------

>

U.

Answer for 7th question is (d),

Answer for 8th question is (c), Again, if R ranks most, T ranks lowest and occupies seventh place. Since V always ranks above P and Q so in the maximum, P and Q will occupy fifth and sixth places. Thus, V will not rank lower than fourth.

Answer for 9th question is (b), If R is ranked second, S will rank first and Q and U lowest. But Q ranks fifth. So, U ranks lowest. Also, the order V > P > Q will be followed.
So, the arrangement will be S > R > V > P > Q > _ U.Thus , the sixth place will be occupied by T.

Answer for 10th question is (a),

Answer for 11th question is (a), If V ranks fifth, P and Q coming before it will occupy sixth and seventh places respectively i,e Q ranks least. So, S will score the highest.  

Directions ( questions 12 to 16 ): Read the following information carefully and answer the questions given below :

(1)  A, B, C, D and E are Five friends.

(2)  B is elder to E but not as tall as C.

(3)  C is younger to A, and is taller to D and E.

(4)  A is taller to D, but younger to E.

(5)  D is elder to A but is shorter in the group.

l2.Who among the following is the eldest?

(a) A

(b) B

(c) C

(d) D

(e) None of these

l3.Which of the following pairs of students is elder to O?

(a) BA

(b) BC

(c)BE

(d) EA

(e) None of these

l4.Which of the following statements is correct about B?

(l)B is not the tallest

(2) B is shorter to E

(3)When they are asked to stand in ascending order with respect to their heights, B is in the middle.  

(a) Only (1) is correct

(b) Only (1) and (3) are correct

(c)All are correct

(d) All are incorrect

(e) None of these

l5.1f F, another friend is taller than C, how many of them will be between F and E according to their height?

(a) None

(b) One

(c) Two

(d) Three

(e) None of these

l6.If a selection is to be made among them who would be relatively older and also taller, who among them should be chosen?

(a) A

(b) B

(c) C

(d) D

e) E

Solutions for 12th to 16th
In terms of age we have:

E < B, C < A, A < E, A < D

So, we have C < A< E < B, A < D.

In terms of height we have

B < C, 0 < C, E < C, 0 < A.

Answer for 12th question is (e) Either B or 0 is the eldest.

Answer for 13th question is (e) It cannot be determined for sure.

Answer for 14th question is (a) B is shorter than C, so B is not the tallest. Thus (1) is correct. Band E are shorter than C. So, it cannot be concluded that B is shorter to E. Thus (2) is incorrect. A single definite order of heights cannot be obtained from the given information. So (3) is incorrect.

Answer for 15th question is (e) :Since no definite order of height can be obtained. So it cannot be determined for sure how many persons lie between F and E.
Answer for 16th question is (b) :A and C are youngest so they cannot be selected. D is shorter than two persons A and C.
B is shorter than C only and is only relatively order. So, B will be selected. E is younger than B.

Directions ( questions 17 to 20 ) : Read the following information

given below and answer the questions that follow:

A * B means A and B are the same age.

A - B means B is younger than A.

A + B means A is younger than B.

17. Sachin * Madan - Reena means

(a) Reena is youngest

(b) Reena is the oldest

(c) Madan is younger than Reena

(d)None of these

l8. X+Y+Z is same as

(a) Y-X-Z

(b) Z-Y-X

(c) Z-X-Y

(d) None of these

19.For an expression Farha-Fardina-Arif which of the following cannot be correct under any circumstances?

(a)Arif is father of Farha.

(b)Arif is the younger brother of Farha.

(c) Farha is the mother of both Arif and Fardina.

(d)None of these

20.0even-Shashi*Hemant is opposite to

(l)Hemant+Shashi+Oeven

(2)Hemant-Shashi+Oeven

(3)Shashi*Hemant+Oeven

(a) (1) only

(b) (1) an (2) only

(c) (2) and (3) only

(d) None of these

Solution for 17th to 20th

Answer fro 17th question is (a) : Sachin*Madan-Reena means Sachin and Madan are of the same age and Reena is younger than Madan. This means that Reena is the youngest.

Answer for 18th question is (b)

X+Y+Z means X is younger than Y

and Y is younger than Z. This can also be written as Z-Y-X.

Answer for 19th question is (a)

Farha-Fardina-Arif means Fardina is younger than Farha and Arif is younger than Fardina. This means that Arif is younger than Farha. So, Arif cannot be the father of Farha.

Answer for 20th question is (d) : Oeven-Shashi*Hemant means Shashi is younger than Oeven ans Shashi and Hemant are of the same age. Thus Oeven is the oldest. 

NOw, the opposite statements would mean Deven is the youngest.

(l)Hemant+Shashi+Deven means Hemant is younger than Shashi, who is younger than Deven.So, Deven is the oldest.

(2)Hemant-Shashi+Deven means Shashi is younger than both Hemant and Deven.Thus eother Hemant or Deven is the oldest, but Deven is not the youngest.

(3)Shashi*Hemant+Deven means Shashi and Hemant are of the same age and Hemant is younger than Deven. So, Deven is the oldest.