Reasoning PYQs

Given Series:

(Left) 5 7 4 5 2 5 7 9 8 7 4 2 3 4 3 6 9 3 6 2 3 7 1 8 4 1 5 (Right)

Required pattern:

Even → Even → Odd

Checking the series:

(Left) 5 7 4 5 2 5 7 9 8 7 4 2 3 4 3 6 9 3 6 2 3 7 1 8 4 1 5 (Right)

Even digits satisfying the condition:

→ 2 in (4 2 3)

→ 2 in (6 2 3)

→ 4 in (8 4 1)

Therefore, there are 3 such even digits.

Hence, the correct answer is Option 3.

Given Codes:

 

Expression:

T − L # Q # P x E: E is husband of P. P is mother of Q. Q is mother of L. L is sibling of T.

Therefore, E is the grandfather (mother’s father) of T.

Hence, the correct answer is "Option 3".

Logic followed here is.

Logic: The series follows an alternating pattern of multiplying the current number by 2 and then adding 2 to the result to obtain the next number.

 

Therefore, the number that should come in place of the question mark is 76.

Hence, the correct answer is "Option 3".

Given Series:

(Left) 7 3 6 2 9 5 1 3 5 2 1 7 8 4 6 5 7 9 4 3 1 4 6 7 2 9 (Right)

Required pattern:

Even → Even → Even

Checking the series:

7 3 6 2 9 5 1 3 5 2 1 7 8 4 6 5 7 9 4 3 1 4 6 7 2 9

Even digit satisfying the condition:

→ 4 in (8 4 6)

Therefore, there is one such even digit.

Hence, the correct answer is Option 4.

Given Numbers:

745, 768, 729, 716, 721

Step 1: Arrange numbers in descending order

768 > 745 > 729 > 721 > 716

Step 2: Find the second highest number

Second highest number = 745

Second digit of 745 = 4

Step 3: Find the lowest number

Lowest number = 716

Third digit of 716 = 6

Step 4: Add the digits

4 + 6 = 10

Therefore, the result is 10.

Hence, the correct answer is Option 3.

Given:

Six friends — Edwin, Preeti, Sunita, Jacob, Victoria, and Sagar — are sitting around a circular table facing the centre.

Conditions:

→ Edwin is an immediate neighbour of both Preeti and Sunita.

→ Jacob is sitting third to the left of Sunita.

→ Victoria is sitting second to the right of Jacob.

From Edwin, move two places to the left (clockwise):

Edwin → Sunita → Victoria

Therefore, Victoria is sitting second to the left of Edwin.

Hence, the correct answer is Option 2.

Shortcut Trick

The pattern is based on an increasing common difference.

Common differences: 100 − 85 = 15, 120 − 100 = 20, 145 − 120 = 25, 175 − 145 = 30.

The differences are increasing by 5 in each step: 15, 20, 25, 30, (30 + 5) = 35.

Next term = 175 + 35 = 210.

∴ The correct answer is 210.

Alternate Method

Given: Series: 85, 100, 120, 145, 175, ?

Method: Analysis of the difference between consecutive terms (Arithmetic progression of differences).

85

+15
→

100

+20
→

120

+25
→

145

+30
→

175

+35
→

210

The differences are 15, 20, 25, 30... which form an AP with common difference 5.

⇒ First difference = 100 − 85 = 15

⇒ Second difference = 120 − 100 = 20

⇒ Third difference = 145 − 120 = 25

⇒ Fourth difference = 175 − 145 = 30

⇒ Expected fifth difference = 30 + 5 = 35

⇒ Next term = 175 + 35 = 210

∴ The correct answer is 210.

Additional Information

Arithmetic Series (Addition/Subtraction Pattern)

In this type of series, the next term is obtained by adding or subtracting a constant or a logically progressing number (like multiples of 5 or squares) to the previous term.

Double Difference Series

If the first layer of differences does not show a clear constant pattern, calculate the differences between those differences. This often reveals a constant increment or decrement.

Mixed Series Pattern

A series might combine two operations, such as (Previous Term × n) + m, to find the next term in the sequence.

Logic followed here is:

The second group of letters is obtained by adding 3 to the positional values of each letter in the first group of letters (+3, +3, +3 pattern).

For BFL : EIO →

 

For KPI : NSL →

  

 

Option 3) LQW : OTZ:

 

Therefore, the pair 'LQW : OTZ' follows the same pattern.

Hence, the correct answer is "Option 3".

Given Codes:

TUNE → 5279

WAIT → 1428

∴ The code for T is 2.

Hence, the correct answer is "Option 3".

The logic followed here is substituting the letters with their respective mathematical symbols and then solving the equation using the BODMAS rule.

Given equation:

27 B 3 D 5 A 10 C 12 D 15 C 27 = ?

Replacing the letters with mathematical signs based on the table:

= 27 ÷ 3 + 5 × 10 − 12 + 15 − 27 

= 9 + 50 - 12 + 15 - 27 

= 74 - 39

= 35

Therefore, the code for the question mark (?) is 35.

Hence, the correct answer is "Option 4".

**Given

Statements:

**

All helmets are nuts.

All helmets are bins.

Conclusions:

(I) Some nuts are bins: Follows (because all helmets are nuts and all helmets are bins. Therefore, helmets form a common part of nuts and bins.)

(II) All bins are helmets: Does not follows (because only helmets are bins is given, not all bins are helmets.)

Therefore, only conclusion (I) follows.

Hence, the correct answer is Option 4.

Logic followed here is based on the positional values of the letters in the English alphabetical order.

Logic: In each pair, the letters follow a specific increment pattern: (+6).

Option 1) GK−MQ →

 

Option 2) KO−QU →

 

Option 3) NR−TX →

 

 

Option 4) TX−YF →

  

Therefore, the letter-cluster pair that does not belong to the group is TX−YF.

Hence, the correct answer is "Option 4".

Given:

→ Warner starts from Point A.

→ Drives 78 km towards west.

→ Turns right and drives 79 km.

→ Turns right and drives 80 km.

→ Turns right and drives 90 km.

→ Turns right and drives 2 km to reach Point P.

Step-by-step movement:

If P is 11 km south of A, then Warner must move 11 km north to reach A.

Hence, the correct answer is Option 3 — 11 km to the north.

Shortcut Trick

Interchange signs: (+) → (−), (−) → (+), (×) → (÷), (÷) → (×)

Expression becomes: 24 × 5 − 18 ÷ 6 + 17

Applying BODMAS: 120 − 3 + 17

Calculation: 117 + 17 = 134

∴ The correct answer is 134.

Alternate Method

Given equation: 24 ÷ 5 + 18 × 6 − 17

According to the question, the signs are interchanged as follows:

• ↔ −

× ↔ ÷

Substituting the new signs into the equation:

⇒ 24 × 5 − 18 ÷ 6 + 17

Applying the BODMAS rule (Division first, then Multiplication, then Addition/Subtraction):

⇒ 24 × 5 − (18 ÷ 6) + 17

⇒ 24 × 5 − 3 + 17

⇒ 120 − 3 + 17

⇒ 117 + 17

⇒ 134

∴ The correct answer is 134.

Additional Information

BODMAS / VBODMAS Rule

It stands for Vinculum, Bracket, Of, Division, Multiplication, Addition, and Subtraction. Always follow this hierarchy to solve mathematical expressions correctly.

Sign Substitution

In substitution problems, carefully replace all specified operators before beginning any calculations to avoid sequential errors.

Mental Math for BODMAS

Groups of (Multiplication/Division) and (Addition/Subtraction) can often be simplified simultaneously if separated by plus or minus signs.

Logic followed here is:

The difference between the positional values of the consecutive letters in each letter-cluster follows a constant pattern of (+6, +2, +4).

1. UACG →

2. AGIM →

 

3. BHIM → 

 

4. GMOS →

 

 

Therefore, the letter-cluster 'BHIM' is the odd one out because it follows a (+6, +1, +4) pattern instead of (+6, +2, +4).

Hence, the correct answer is "Option 3".

Given:

→ Total people = 55

→ Nalini sits 20^th from the right end

→ Ranjit sits 18^th from the left end

Step 1: Find Nalini’s position from the left

Position from left = Total people − Position from right + 1

= 55 − 20 + 1 = 36

So, Nalini is 36^th from the left end.

Step 2: Find people between Nalini and Ranjit

Nalini’s position = 36

Ranjit’s position = 18

People between them = 36 − 18 − 1 = 17

Therefore, 17 people sit between Nalini and Ranjit.

Hence, the correct answer is "Option 2".

Given:

B sits to the immediate right of A and B sits second to the left of F 

C is an immediate neighbour of A .

D sits second to the left of E .

 

Therefore, the position of E with respect to A is Second to the left.

Hence, the correct answer is "Option 4".

Given: Eight people (A, B, C, D, P, Q, R and S) are sitting around a circular table facing towards the centre.

1. B is an immediate neighbour of both S and P 

2. C sits second to the right of P.

3. R is an immediate neighbour of both D and Q (R is between D and Q).

4. A sits second to the left of Q.

 

Therefore, the position of Q with respect to C is Immediate right.

Given Series: BZA 30 ZXY 41 XVW 52 VTU 63 ?

The logic followed here is:

∴ According to the logic TRS 74 will replace the (?) mark.

Hence, the correct answer is "Option 1".

Given Series: ZDF1, YGH3, XJJ9, WML27, ?

The logic followed here is:

∴ According to the logic followed here VPN 81 will replace the (?) mark.

Hence, the correct answer is "Option 4".