Reasoning PYQs

Given:

Dayanand ranked 17^th from the top and 11^th from the bottom in his class.

Formula:

Total students = Rank from top + Rank from bottom − 1

Substituting the values:

= 17 + 11 − 1

= 28 − 1

= 27

Therefore, the total number of students in the class is 27.

Hence, the correct answer is "Option 1".

Given:

Anant starts from Point A.

1. Drives 32 km south

2. Takes a left turn and drives 34 km

3. Takes a left turn and drives 35 km

4. Takes a left turn and drives 38 km

5. Takes a final left turn and drives 3 km to reach Point P

Point P is 4 km west of Point A.

Therefore, to reach Point A again, Anant must travel 4 km towards the east.

Hence, the correct answer is "Option 3".

Logic followed here is:

The series follows an alternating mathematical pattern where 10 is subtracted from the first number to get the second, and then 1 is added to the second number to get the third.

Given Series: 191 181 182 172 173 163 ?

The pattern is as follows:

 

The pattern observed is: -10, +1, -10, +1, -10, +1.

Therefore, the number that should come in place of the question mark is 164.

Hence, the correct answer is "Option 1".

Given:

A, B, C, D, E, F and G are sitting around a circular table facing the centre.

1. Only two people sit between F and C, when counted from the right of F.

2. Only two people sit between C and A, when counted from the right of C.

3. Only three people sit between F and G, when counted from the right of F.

4. E sits to the immediate left of D.

Finding the answer:

From the right of D

The people between D and F are:

B, E, G, C

So, there are 4 people between D and F when counted from the right of D.

Hence, the correct answer is "Option 1".

Given:

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

We need to find the even digits which are:

→ Immediately preceded by an odd digit

→ Immediately followed by an odd digit

Required pattern: Odd digit → Even digit → Odd digit

Checking the series:

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

The valid even digits are:

→ 2 in (9 2 9)

→ 2 in (7 2 9)

→ 4 in (9 4 3)

→ 4 in (5 4 5)

→ 4 in (1 4 3)

Therefore, there are 5 such even digits.

Hence, the correct answer is "Option 4".

Given:

‘A + B’ means ‘A is the brother of B’

‘A − B’ means ‘A is the sister of B’

‘A × B’ means ‘A is the mother of B’

‘A ÷ B’ means ‘A is the son of B’

Expression:

V + W × X − Z ÷ Y

Family Analysis:

Since Z is the son of Y, Y is the parent of Z.

X is the sister of Z, so X is also the child of Y.

W is the mother of X, therefore W is also the mother of Z.

V is the brother of W.

Thus, V is the brother of Y’s mother.

So, V is related to Y as wife's brother.

Hence, the correct answer is "Option 4".

Given:

Seven friends, L, M, N, O, Q, R and S, are sitting in a straight line facing north.

1. Only four people sit to the right of O.

2. Only three people sit between O and S.

3. Only one person sits between S and L.

4. R sits to the immediate left of M.

5. N is not an immediate neighbour of S.

Q is at position 4.

People to the right of Q are: L, N and S

So, there are 3 people to the right of Q.

Hence, the correct answer should be "Option 3".

Shortcut Trick

Identify target digits: First two (3, 2) and last two (4, 1).

Apply rules: Even digit + 3 | Odd digit + 2.

New first two: 3(Odd) + 2 = 5 and 2(Even) + 3 = 5.

New last two: 4(Even) + 3 = 7 and 1(Odd) + 2 = 3.

Sum = 5 + 5 + 7 + 3 = 20.

∴ The correct answer is 20.

Alternate Method

Given number: 3267541

Rules: Add 3 to even digits (2, 4, 6) and add 2 to odd digits (1, 3, 5, 7).

Step-by-step transformation of the digits:

⇒ First digit (3): 3 is odd → 3 + 2 = 5

⇒ Second digit (2): 2 is even → 2 + 3 = 5

⇒ Sixth digit (4): 4 is even → 4 + 3 = 7

⇒ Seventh digit (1): 1 is odd → 1 + 2 = 3

⇒ Sum of the first two digits = 5 + 5 = 10

⇒ Sum of the last two digits = 7 + 3 = 10

⇒ Total sum = 10 + 10 = 20

∴ The correct answer is 20.

Additional Information

Even and Odd Digit Rule

Even digits are {0, 2, 4, 6, 8} and odd digits are {1, 3, 5, 7, 9}. Transformations based on parity require careful individual digit processing.

Digit Position in Numbers

In a number with n digits, the first digit is at position 1 (leftmost) and the last digit is at position n (rightmost).

Sum of Digits Properties

The sum of digits is often used in divisibility tests; for example, a number is divisible by 3 or 9 if the sum of its digits is divisible by 3 or 9 respectively.

Logic followed here is:

The code for a word is determined by summing the positional values of its letters and then multiplying the sum by a constant factor.

For

VACP is coded as 126 →

Sum of positional values = 22 + 1 + 3 + 16 = 42

Code = 42 × 3 = 126

 

MHTJ is coded as 153 →

Sum of positional values = 13 + 8 + 20 + 10 = 51

Code = 51 × 3 = 153

 

The pattern observed is: (Sum of positional values of letters) × 3.

Similarly, let's find the code for OGQE:

Sum of positional values = 15 + 7 + 17 + 5 = 44

Code = 44 × 3 = 132

 

Therefore, the code for 'OGQE' is 132.

Hence, the correct answer is "Option 2".

Logic followed here is:

The first letter of each pair in the triad increases by +3 sequentially, while the second letter of each pair increases by +3 and then decreases by -4.

For CL-FO-IK →

 

For EN-HQ-KM →

 

Similarly,Option 1) GP-JS-MO:

 

Therefore, the triad that follows the same pattern is GP-JS-MO.

Hence, the correct answer is "Option 1".

Logic followed here is: The difference between the positional values of consecutive letters in each letter-cluster follows a specific pattern.

1. ECG:

2. QOS:

 

3. KJM:

4. USW:

 

 

 

The pattern observed in ECG, QOS, and USW is: (1^st Letter - 2) = 2^nd Letter; (2^nd Letter + 4) = 3^rd Letter. However, KJM follows a different pattern.

Therefore, the letter-cluster that does not belong to the group is KJM.

Hence, the correct answer is "Option 3".

Given:

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

We need to find the odd digits which are:

→ Immediately preceded by an even digit

→ Immediately followed by an even digit

Required pattern: Even digit → Odd digit → Even digit

Checking the series:

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

The valid odd digits are:

→ 1 in (4 1 2)

→ 7 in (2 7 4)

→ 5 in (4 5 8)

Therefore, there are 3 such odd digits.

Hence, the correct answer is "Option 4".

Logic followed here is:

Each letter of the first group is moved forward by four positions in the English alphabetical order to obtain the corresponding letter of the second group.

For

KNSM is related to ORWQ →

NQVP is related to RUZT →

The pattern observed is: (Positional value of each letter) + 4.

Similarly, let's find the relation for GJOI:

Therefore, the code for 'GJOI' is KNSM.

Hence, the correct answer is "Option 3".

**Given

Statements:

**

Some brinjals are peppers.

Some peppers are turnips.

Venn Diagram Logic:

Conclusions:

(I) Some brinjals are turnips: Does not follows (Because no direct relation between brinjals and turnips is definitely given.)

(II) All turnips are peppers: Does not follows (The statement says only “Some peppers are turnips”, not all turnips are peppers.)

Therefore, neither conclusion (I) nor (II) follows.

Hence, the correct answer is "Neither conclusion (I) nor (II) follows".

Logic followed here is:

Each term in the series is obtained by shifting each letter of the preceding term forward by 2 positions in the English alphabetical sequence.

Therefore, the term that should come in place of the question mark is 'AEM'.

Hence, the correct answer is "Option 4".

Given:

Total people in the row = 52

Neena is 24^th from the right end.

Mishti sits 15 places to the left of Neena.

Step 1:

Find Neena’s position from the left end.

Formula:

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

= 52 − 24 + 1

= 29

So, Neena is 29^th from the left end.

Step 2:

Mishti sits 15 places to the left of Neena.

So,

29 − 15 = 14

Therefore, Mishti is 14^th from the left end.

Hence, the correct answer is "Option 1".

Given:

Equation:

65 B 7 D 912 A 6 C 98 = ?

Replacing the symbols:

= 65 × 7 − 912 ÷ 6 + 98

= 455 − 152 + 98

= 303 + 98

= 401

Therefore, the value that comes in place of the question mark is 401.

Hence, the correct answer is "Option 2".

Given:

A, B, C, D, E and F are sitting around a circular table facing the centre.

1. B sits third to the right of C.

2. C sits second to the left of A.

3. F sits third to the right of D.

4. D sits to the immediate left of E.

Finding the answer:

From the left of E:

E → F→  B

Only one person sits between E and B.

Therefore, the number of people sitting between E and B is One.

Hence, the correct answer is "Option 4".

Statements:

All fruits are vegetables.

No vegetable is a pumpkin.

Venn Diagram Logic:

Conclusions:

(I) No fruit is a pumpkin: Follows (Because all fruits are vegetables and no vegetable is a pumpkin. Therefore, no fruit can be a pumpkin.)

(II) Some pumpkins are vegetables: Does not follows (Because it is clearly stated that no vegetable is a pumpkin.)

Therefore, only conclusion (I) follows.

Hence, the correct answer is "Option 3".

Logic followed here is:

The second number in each set is the product of the first number and the third number.

For (14, 28, 2) →

Product of first and third values = 14 × 2 = 28

 

For (13, 39, 3) →

Product of first and third values = 13 × 3 = 39

 

The pattern observed is: (First number × Third number) = Second number.

Similarly, let's check for the set (15, 45, 3):

Product of first and third values = 15 × 3 = 45

 

Therefore, the set (15, 45, 3) follows the same relationship.

Hence, the correct answer is "Option 3".