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Puzzle Test Questions and Answers

Important Instructions
301.

In a dice, if 2 is adjacent to 3, 5 and 6, then which of the following is necessarily true?

Exam Year(s)

TNPSC Group 1 - 2025, TNPSC - 2025,

Answer: B

If 2 is adjacent to 3, 5 and 6, its fourth neighbour is one of 1 and 4 and the other one is opposite to 2. The face opposite 2 touches all four faces around it, so it touches 3, 5, 6 and the remaining one of 1 and 4.

Therefore 1 and 4 are always adjacent, option B. 3 and 6 are adjacent in some arrangements but not necessarily, and 2 is adjacent to only one of 1 and 4, so the other options are not forced.

A die has three pairs of opposite faces, and each face is adjacent to the four faces other than itself and its opposite, which is the rule used above.

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302.

Given below are 4 pictures of a cube.

Four views I to IV of one cube showing the faces 5, 4, 6; 3, 6, 5; 2, 1, 4; and 4, 1, 5

Which number is on the face opposite to 3?

Exam Year(s)

TNPSC Group 1 - 2025, TNPSC - 2025,

Answer: C

The face opposite 3 is 4. From the views, 3 touches 6 and 5 (view II). Face 4 appears together with 5, 6, 1 and 2 in the views (I, III and IV), so 4 is adjacent to 5, 6, 1 and 2.

A face is opposite to the only face it never shares a corner with. 3 never appears with 4 in any view, and 4 is adjacent to all four of 1, 2, 5 and 6, so 3 must be opposite 4, option C.

Adjacent pairs seen in the views are 5-4, 5-6, 4-6 (view I), 3-6, 3-5 (view II), 2-1, 2-4, 1-4 (view III) and 4-1, 4-5, 1-5 (view IV), so 3 never meets 4 and 4 touches 1, 2, 5 and 6.

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303.

Three positions of a cube are given below. Which alphabet will be at the top, if alphabet G is at the bottom ?

Three positions of a cube: first W on top, P in front, T on the right face; second K on top, G in front, S on the right; third P on top, W in front, K on the right

Exam Year(s)

Tripura Public Service Commission - 2025,

Answer: D

With G at the bottom, P is at the top.

First, K is shown next to G and S (second view) and next to P and W (third view), so the only face it can be opposite is T.

Now hold the cube as in the first view: W on top, P in front, T on the right, and therefore K on the left. G and S must be the back and bottom faces. Suppose G is at the back and S at the bottom, and roll the cube to the right so that K comes to the top: W moves to the right side and S to the left. Turn the cube half round so that G comes to the front: S, which was on the left, is now on the right. That is exactly the second view (K top, G front, S right), so the supposition is correct.

G is therefore opposite P, and when G is at the bottom, P is at the top. T is opposite K, and W is opposite S, so neither can be on top with G below.

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304.

Polly is taller than Geeta. Arun is taller than Rita but not as tall as Geeta. Lilly is taller than Polly. Who is the shortest among them ?

Exam Year(s)

Tripura Public Service Commission - 2014,

Answer: B

The shortest is Rita.

Put the statements in order of height:

  • Lilly is taller than Polly.
  • Polly is taller than Geeta.
  • Arun is not as tall as Geeta, but taller than Rita.

That gives Lilly > Polly > Geeta > Arun > Rita, so Rita is at the bottom. Geeta and Arun are in the middle and Polly is second tallest, so none of them can be the shortest.

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305.

V is an year older than S, S is two years older than M, R is an year older than M, who is the youngest of all ?

Exam Year(s)

Tripura Public Service Commission - 2025,

Answer: B

The youngest is M.

Take M's age as m. Then S is m + 2, V is a year older than S, m + 3, and R is a year older than M, m + 1. So the order from oldest is V, S, R, M.

Every other person is older than M, so R, V and S cannot be the youngest.

V is the oldest, at three years older than M.

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306.

Six students A, B, C, D, E and F are sitting in the field. A and B are form Nehru House while the rest belong to Ghandhi House. D and F are tall while the others are short. A, C and D are wearing glasses while the others are not. Which tall student of Gandhi House is not wearing glasses ?

Answer: D

We may prepare a table as under :

 

Nehru House

Ghandi House

Tall

Short

Glasses

No glasses

A

X

 

 

X

X

 

B

X

 

 

X

 

X

C

 

X

 

 

X

 

D

 

X

X

 

X

 

E

 

X

 

X

 

X

F

 

X

X

 

 

X

 F belongs to Gandhi House, is tall and is not wearing glasses.

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307.

In a March Past, seven persons are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle.

Answer: B

Q is left to R and to the right of P i.e. P, Q, R. O is to the right of N and left of P i.e. N, O, P. S is to the right of R and left of T i.e. R, S, T. So the order is : N, O, P, Q, R, S, T. Clearly, Q is in the middle.

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308.

In the Olympic Games, the flags of six nations were flown on the masts in the following way : The flag of America was to the left of Indian tricolour and to the right of the flag of France.
The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan,
Which was to the left of the flag of China.
Find the two flags which are in the centre.

Answer: A

Correct answer: Indian and Australia

Chain the clues from the left. France is left of America, which is left of India, giving France, America, India. Australia is right of India and left of Japan, and Japan is left of China, giving India, Australia, Japan, China. Together the six run France, America, India, Australia, Japan, China, and the two in the centre are the third and fourth - India and Australia.

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309.

(i). Jayant, Kamal, Namita, Asha and Tanmay are five members of a family.
(ii). They have their birth dates from January to May, each member in one of these months.
(iii). Each one likes one particular item for his/her birthday out of Bengali Sweets, Chocolates, Pastries, Ice Cream and Dry Fruits.
(iv). The one who likes Pastries is born in the month which is exacty middle in the mmonths given.
(v). Asha does not like Ice cream but brings Chocolates for Jayant in February.
(vi). Tanmay who is fond of Bengali sweets is born in the next month immediately after Namita.
(vii). Namita does not like Dry fruits or Ice Cream. 

What is the choice of Asha ?

Answer: D

(I) Choice : Jayant likes Chocolates; Tanmay likes Bengali sweets. Namita does not like Dry fruits or Ice cream. So, Namita likes Pastrises. Asha does not like Ice cream. So, she is fond of Dry fruits. Finally, Kamal likes Ice cream.
(II) Date of Birth : The one who likes Pastrises i.e., Namita is born in the middle of months given i.e., in March. Tanmay is born in next month after Namita i.e., in April. Jayant's birthday is in February.

 

Choice

Date of Birth

Jayant

Chocolates

February

Kamal

Ice cream

January or May

Namita

Pastries

March

Asha

Dry fruits

January or May

Tanmay

Bengali sweets

April

The choice of Asha is Dry fruits.

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310.

A is elder to B while C and D are elder to E who lies between A and C.
If C be elder to B, Which one of the following statements is necessarily true ?

Answer: D

In terms of age, we have :
B < A,  E < C,  E < D,  B < C.
Since E lies between A and C, the sequence becomes :
B < A < E < C < D  or  B < A < E < D < C.
Clearly, whichever may be the case, E is elder to B.
 Hence, (d) is necessarily true.

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