Reasoning PYQs

The logic followed here is:

10 : 101

(10)² + 1 = 101

100 + 1 = 101

101 = 101 (LHS = RHS)

And,

6 : 37

(6)2 + 1 = 37

36 + 1 = 37

37 = 37 (LHS = RHS)

So, checking each option one by one:

Option 1) 7 : 50

(7)2 + 1 = 50

49 + 1 = 50

50 = 50 (LHS = RHS)

Option 2) 14 : 196 

(14)2 + 1 = 196

196 + 1 = 196

197 ≠ 196 (LHS ≠ RHS)

Option 3) 11 : 120

(11)2 + 1 = 120

121 + 1 = 120

122 ≠ 120 (LHS ≠ RHS)

Option 4) 8 : 64

(8)2 + 1 = 64

64 + 1 = 64

65 ≠ 64 (LHS ≠ RHS)

Thus, out of all the options '7 : 50' follows the same logic as given.

Hence, "Option 1" is the correct answer.

Given: 55 × 5 ÷ 1 – 3 + 14 = 0 

According to the question, after interchanging two signs and two numbers (not digits):

Option 1) 1, 3 and '–', '÷' 

55 × 5 ÷ 1 – 3 + 14 = 0 ⇒ 55 × 5 - 3 ÷ 1 + 14 = 0

⇒ 55 × 5 - 3 ÷ 1 + 14 = 0

⇒ 55 × 5 - 3 + 14 = 0

⇒ 275 + 14 - 3 = 0

⇒ 289 - 3 = 0

⇒ 286 ≠ 0 (LHS ≠ RHS)

Option  2) 1, 5 and '+', '–'

55 × 5 ÷ 1 – 3 + 14 = 0 ⇒ 55 × 1 ÷ 5 + 3 - 14 = 0

⇒ 55 × 1 ÷ 5 + 3 - 14 = 0

⇒ 55 × 0.2 + 3 - 14 = 0

⇒ 11 + 3 - 14 = 0

⇒ 14 - 14 = 0

⇒ 0 = 0 (LHS = RHS)

Option  3) 5, 14 and '–', '×'

55 × 5 ÷ 1 – 3 + 14 = 0 ⇒ 55 - 14 ÷ 1 × 3 + 5 = 0

⇒ 55 - 14 ÷ 1 × 3 + 5 = 0

⇒ 55 - 14 × 3 + 5 = 0

⇒ 55 + 5 - 42 = 0

⇒ 60 - 42 = 0

⇒ 18 ≠ 0 (LHS ≠ RHS)

Option  4) 3, 5 and '+', '÷'

55 × 5 ÷ 1 – 3 + 14 = 0 ⇒ 55 × 3 + 1 – 5 ÷ 14 = 0

⇒ 55 × 3 + 1 – 5 ÷ 14 = 0

⇒ 55 × 3 + 1 – 0.35 = 0

⇒ 165 + 1 – 0.35 = 0

⇒ 166 – 0.35 = 0

⇒ 165.65 ≠ 0 (LHS ≠ RHS)

Hence, "Option 2" is the correct answer.

Solution:

335 : 216 :: 987 : ?

The logic followed here is

335 : 216

⇒ 335 - 119 = 216

So, 987 : ?

⇒ ? = 987 - 119 = 868

Hence, the correct answer is option (3).

The logic followed here is:

Embroidery : Thread

Embroidery is done using thread.

Similarly,

Weaving : ?

Weaving is done using wool.

Hence, "Option 4" is the correct answer.

The logic followed here is:

​‘BROWN’ is coded as DTMYP

And,

‘PLACE’ is coded as RNYEG

Similarly,

‘RIGHT’ is coded as

Hence, "Option 3" is the correct answer.

The logic followed here is:

Option 1) LMIQ 

Option 2) GHDV 

Option 3) STPJ 

Option 4) NOPQ

Thus, out of all the options, 'NOPQ' is the odd one out.

Hence, "Option 4" is the correct answer.

Given: K, L, M, W, X, Y and Z scored different marks in an exam. 

1) K scored more than only three people. 

_ > _ > _ > K > _ > _ > _

2) Y scored less than only L and M. 

L/M > L/M > Y > K > _ > _ > _

3) W scored more than Z but less than X.

L/M > L/M > Y > K > X > W > Z

4. L did not score the highest marks.

M > L > Y > K > X > W > Z

Thus, according to the final arrangement two people scored less than X.

Hence, "Option 1" is the correct answer.

The logic followed here is:

Hence, "Option 2" is the correct answer.

The figure which will look like the paper when unfolded is shown below:

Thus, option Figure 1 will look like the paper when unfolded.

Hence, "Option 1" is the correct answer.

The number of triangles in the given figure is shown below:

Thus, as marked there are a total of 6 triangles.

Hence, "Option 3" is the correct answer.

The logic followed here is:

1. First box series →

First row elements interchange positions.

The rest of the elements shift clockwise.

The top left corner element is replaced by new element.

2. Second box series →

The bottom row elements interchange positions.

The rest of the elements shift anticlockwise.

The bottom left corner element is replaced by new element.

Thus, final series is:

Hence, "Option 2" is the correct answer.

The logic followed here is:

Hence, "Option 3" is the correct answer.

Given: Ramesh wants to visit his childhood friend’s house. Ramesh’s friend explained his house directions over a text message.

When you step out of your house, you are facing north.

Take a right and walk 3 km, you will see a T-point/junction.

Take a right and walk 2 km. There will be a roundabout with four roads. 

Take the second left from the roundabout and walk 1 km. 

Take a right and walk 3 km. 

Take a right and walk 1 km. You will find my house at the front.

Thus, Ramesh is facing in the south direction when he takes the second left from the roundabout.

Hence, "Option 3" is the correct answer.

Additional Information

Here, specifically "Roundabout" is mentioned, so accordingly counting clockwise from the roundabout - 2^nd left will be in the south direction.

Furthermore, it is also mentioned "There will be a roundabout with four roads.", so 4 roads are of the four direction, therefore at the roundabout when counted clockwise:

Ramesh (Facing south) → 1^st road

1^st left (east) → 2^nd road

2^nd left (south) → 3^rd road

3^rd left (west) → 4^th road

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. All wolves are sheep → Does not follow (As all sheep are wolves. So it is possible but not definite)

II. All dogs are foxes → Follow (As all dogs are sheep, all sheep are wolves and all wolves are foxes. As whole dogs comes in sheep which whole comes in wolves which whole comes in foxes, therefore it is true.)

III. All dogs are wolves → Follow (As all dogs are sheep and all sheep are wolves. As whole dogs comes in sheep which whole comes in wolves, therefore it is true.)

∴ Here, Only conclusions II and III follow.​

Hence, the correct answer is "Option 4".

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

1. At least some chairs are doors → Follow (As some elephants are chairs and all elephants are doors. As some part of chairs is common with elephants which whole comes in doors, therefore it is true)
2. All doors are elephants → Does not follow (As all elephants are doors. So it is possible but not definite)

∴ Here, Only conclusion 1 follow.​

Hence, the correct answer is "Option 3".

Given

Statement:

P ≤ Q = R > S; Q ≤ T ≤ U = V

Conclusions:

Option 1) S > P  → Does not follow (As P ≤ Q = R > S. Here, no relation can be determined between S and P, therefore it is false)

Option 2) V < S → Does not follow (As S < R = Q ≤ T ≤ U = V. So, it can be concluded as 'V > S', therefore it is false)

Option 3) S ≥ U → Does not follow (As S < R = Q ≤ T ≤ U = V. So, it can be concluded as 'U > S', therefore it is false)

Option 4) V ≥ P → Follow (As P ≤ Q ≤ T ≤ U = V. So, it can be concluded as 'V ≥ P', therefore is true)

Hence, the correct answer is "Option 4".

Given: R, S, T, U, V and W are sitting around a circular table facing the centre.

1) R sit second to the left of V.

2. Only one person sits between R and S.

3) Only two persons sit between S and W.

4) T is not an immediate neighbour of R.

After positioning T only one position is left which will be occupied by the only person left i.e. U.

Thus, according to the final arrangement, T sits second to the left of U.

Hence, "Option 4" is the correct answer.

The logic followed here is:

(13, 57, 111)

(13 × 4) + (57 + 2) = 111

52 + 59 = 111

111 = 111 (LHS = RHS)

And,

(11, 49, 95)

(11 × 4) + (49 + 2) = 95

44 + 51 = 95

95 = 95 (LHS = RHS)

So, checking each option one by one:

Option 1) (9, 41, 79) 

(9 × 4) + (41 + 2) = 79

36 + 43 = 79

79 = 79 (LHS = RHS)

Option 2) (12, 53, 109) 

(12 × 4) + (53 + 2) = 109

48 + 55 = 109

113 ≠ 109 (LHS ≠ RHS)

Option 3) (8, 37, 73)

(8 × 4) + (37 + 2) = 73

32 + 39 = 73

72 ≠ 73 (LHS ≠ RHS)

Option 4) (10, 54, 11)

(10 × 4) + (54 + 2) = 11

40 + 56 = 11

96 ≠ 11 (LHS ≠ RHS)

Thus, out of all the options '(9, 41, 79)' follows the same logic as given.

Hence, "Option 1" is the correct answer.

The figure which when put in place of '?' will logically complete the pattern is shown below:

Thus, option Figure 2 will logically complete the pattern given.

Hence, "Option 2" is the correct answer.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some black are cats → Follow (As all cats are animals and all animals are black. As whole cats comes in animals which whole comes in black, therefore it is true.)

II. All cats are black → Follow (As all cats are animals and all animals are black. As whole cats comes in animals which whole comes in black, therefore it is true.)

∴ Here, Both conclusions I and II follow.​

Hence, "Option 4" is the correct answer.