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Puzzle Test Questions and Answers

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371.

Six friends A, B, C, D, E and F are sitting in a closed circle facing the centre. A is facing D. C is between A and B. F is between E and A. Who is to the immediate left of B ?

Answer: B

Clearly, in a circle the arrangement is as shown.

Thus, C is to the immediate left of B.

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372.

A, B, C, D, E and F are seated in a circle facing the centre. D is between F and B. A is second to the left of D and second to the right of E. Who among the following is facing D ?

Answer: B

Clearly, the circular arrangement is as shown :

Clearly, C is facing D.

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373.

There are six persons A, B, C, D, E and F in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D's optional subject was History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F's compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A's subjects but in terms of compulsory and optional subjects, they are just reverse of those of D's. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. Disregarding which is the compulsory and which is the optional subject, who has the same two subject combination as F ?

Answer: C

The given information can be analysed as follows :
Let 'O' denote optional and 'C' denote compulsory .

 

A

B

C

D

E

F

History

C

C

C

O

-

-

Physics

-

-

-

-

C

O

Mathematics

-

-

O

-

O

C

English

O

-

-

C

-

-

Chemistry

-

O

-

-

-

-


One compulsory subject of F is Mathematic. F has Physics as one of the subjects. So, Physics is optional of F. F has Mathematics as optional and Physics as one subject.
So, Physics is the compulsory subject of E. A and D have the same subjects -- History and English. D has History as optional subject and so English is the compulsory subject of D. Subjects of A and D are reverse in regard of optional and compulsory.
So, A has History as compulsory subject and English as optional.
Chemistry is the optional subject of only one teacher. So, it is the optional of B, which only remains.
We know that History is the compulsory subject of three teachers. So, it is compulsory for A, B and C.
D is the teacher having English as her compulsory subject.
So, D is the only female teacher.


Clearly, E has the same subject combination as that of F.

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374.

Seven books are placed one above the other in a particualr way.
History book is placed exactly above Civics book.
Geography book is fourth from the bottom and English book is fifth from the top.
There are two books in between Civics and Economics books.
Out of the following, which three books are kept above English books ?
To answer this question, which of the other informations, if any, is required ? 

Answer: E

Clearly, the sequence of the five books mentioned, from top to bottom is :
---, History, Civics, Geography, English, Economics, ----
Clearly, History, Civics and Geography are three books kept above English.
To find this, no information other than the given ones is required. 

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375.

Five boys took part in a race.
Raj finished before Mohit but behind Gaurav. Ashish finished before Sanchit but behind Mohit. Who won the race ?

Answer: B

Raj finished before Mohit but behind Gaurav. So, the order is Gaurav, Raj, Mohit.
Ashish finished before Sanchit but behind Mohit. So, the order is Mohit, Ashish, Sanchit.
Thus, the full order is : Gaurav, Raj, Mohit, Ashish, Sanchit.
Clearly, Gaurav won the race. 

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376.

(i) There is a group of five girls.
(ii) Kamini is second in height but younger than Rupa.
(iii) Pooja is taller than Monika but younger in age.
(iv) Rupa and Monika are of the same age but Rupa is tallest between them.
(v) Neelam is taller than Pooja and elder Rupa.

If they are arranged in the descending order of their ages, who will be in fourth position ?

Answer: E

We first find the sequence of height :
By (iii), we have : M < P.
By (v), we have : P < N.
Now, Rupa is tallest and Kamini is is second in height.
So, the sequence of heights is : M < P < N < K < R.
Now, we determine the age sequence :
By (ii), we have : K < R.
By (iii), we have : P < M.
By (iv), we have : R = M.
By (v), we have : R < N.
So, the sequence of ages is : N < R = M < K < P or N < R = M < P < K.
Clearly, in the desceasing order of ages, Neelam will be in fourth position (because Monika and Rupa both lie at third position).
Hence, the answer is (e).

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377.

(i) There is a group of five girls.
(ii) Kamini is second in height but younger than Rupa.
(iii) Pooja is taller than Monika but younger in age.
(iv) Rupa and Monika are of the same age but Rupa is tallest between them.
(v) Neelam is taller than Pooja and elder Rupa.

To answer the question "who is the youngest person  in the group", which of the given statements is superfluous ?

Answer: A

We first find the sequence of height :
By (iii), we have : M < P.
By (v), we have : P < N.
Now, Rupa is tallest and Kamini is is second in height.
So, the sequence of heights is : M < P < N < K < R.
Now, we determine the age sequence :
By (ii), we have : K < R.
By (iii), we have : P < M.
By (iv), we have : R = M.
By (v), we have : R < N.
So, the sequence of ages is : N < R = M < K < P or N < R = M < P < K.
Clearly, only statement (i) is not necessary.
Hence, the answer is (a).

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378.

All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads A, B, C, D and E are parallel to one another. Roads G, H, I, J, K, L and M are parallel to one another.
(i). Road A is 1 km east of road B.
(ii). Road B is ½ km west of road C.
(iii). Road D is 1 km west of road E.
(iv). Road G is ½ km south of road H.
(v). Road I is 1 km north of road J.
(vi). Road K is ½ km north of road L.
(vii). Road K is 1 km south of road M. Which is necessarily true ?

Answer: D

Clearly from statements (1) and (2), figure 1 follows; from statement (3), figure 2 follows; from statement (4), figure 3 follows; and from statement (5), figure 4 follows; and from statements (6) and (7), figure 5 follows.
                                               
 
           
It follows from figure 5 that distance of M from L = LK + KM = ½ + 1 = 1.5 km and M is to the north of L.

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