Reasoning PYQs

Logic followed here is substituting the given letters with their corresponding mathematical operators and then solving the equation using the BODMAS rule.

The mapping of letters to symbols is as follows:

 

Given equation:

(80 A 8) B 5 C 14 B 2 D 11 B 3 C 72 A 4 = ?

Step 1: Replace the letters with their respective symbols:

(80 ÷ 8) × 5 + 14 × 2 - 11 × 3 + 72 ÷ 4 = ?

⇒ 10 × 5 + 28 - 33 + 18 = ?

⇒ 50 + 28 - 33 + 18 = ?

⇒ 96 - 33 = ?

⇒ 63 = ?

Therefore, the value that will come in place of the question mark is 63.

Hence, the correct answer is "Option 2".

The logic followed here is that each cluster in the series is determined by decreasing the positional values of the letters by a constant value and increasing the numbers by a constant value.

The pattern followed here is:

 

Combining the letter and number logic, the next cluster is FYR 73.

Hence, the correct answer is "Option 2".

Given letter-clusters:

RTP

EHB

KNH

ORL

Observe the pattern:

In three clusters, the gap between letters follows:

1^st → 2^nd = +3

2^nd → 3^rd = −6

Check each option:

Option 2: EHB

Pattern ratio maintained.

Option 3: KNH

Pattern ratio maintained.

Option 4: ORL

Pattern ratio maintained.

Option 1: RTP

This does not follow the same pattern as the other three.

Therefore, the odd one out is: RTP

Hence, the correct answer is "Option 1".

Given:

“let you know” → “nj rc bh”

“know the people” → “nh kp rc”

The common code is:

rc

Therefore, ‘know’ is coded as ‘rc’.

Hence, the correct answer is "Option 1".

Shortcut Trick

Identify the difference between consecutive terms in the series.

Difference = 119 − 103 = 16

The series follows a constant addition of 16.

Next term = 167 + 16 = 183

∴ The correct answer is 183.

Alternate Method

Given series: 103, 119, 135, 151, 167, ?

103

+16
→

119

+16
→

135

+16
→

151

+16
→

167

+16
→

183

The pattern follows a constant addition of 16 to each preceding term to obtain the next term.

⇒ 103 + 16 = 119

⇒ 119 + 16 = 135

⇒ 135 + 16 = 151

⇒ 151 + 16 = 167

⇒ 167 + 16 = 183

∴ The correct answer is 183.

Additional Information

Arithmetic Progression (AP) Series

A series where the difference between any two consecutive terms is constant. General term a_n = a + (n−1)d.

Common Difference

Calculated by subtracting the first term from the second term (d = T₂ − T₁).

Types of Series Patterns

Common patterns include prime numbers, squares, cubes, geometric ratios, and nested differences.

**Given

Statements:

**

All bags are cars.

All aeroplanes are cars.

Conclusions:

(I) Some bags are aeroplanes:Does not follows (Because, Bags are a subset of cars. Aeroplanes are also a subset of cars.There is no definite relation given between bags and aeroplanes.)

(II) Some cars are aeroplanes: Follows (Because,  all aeroplanes are cars, which means at least some cars are aeroplanes.)

∴ Only conclusion (II) follows.

Hence, the correct answer is "Option 4".

Logic followed here is: Identify the highest and lowest numbers from the given sequence, then find the third digit of each and add them together to get the resultant.

Given sequence of numbers:

453, 125, 410, 183, 473

The highest number is 473 →

The third digit of the highest number (473) is 3.

The lowest number is 125 →

The third digit of the lowest number (125) is 5.

The operation to be performed is: (Third digit of highest number) + (Third digit of lowest number).

Resultant Calculation:

Resultant = 3 + 5 = 8

Therefore, the resultant is 8.

Hence, the correct answer is "Option 1".

Shortcut Trick

Perform sign substitution: ÷ → ×, + → −, × → ÷, and − → +.

Expression becomes: 44 × 6 − 195 ÷ 3 + 473

Direct BODMAS calculation: 264 − 65 + 473

Final value: 199 + 473 = 672

∴ The correct answer is 672.

Alternate Method

Given equation: 44 ÷ 6 + 195 × 3 − 473 = ?

Operations to interchange: + ↔ − and × ↔ ÷

Applying the interchanged signs:

⇒ 44 × 6 − 195 ÷ 3 + 473

⇒ 264 − 65 + 473

⇒ 199 + 473

⇒ 672

∴ The correct answer is 672.

Additional Information

BODMAS Rule

Always solve expressions in the order: Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

Symbol Substitution Strategy

When signs are interchanged, rewrite the entire expression once with the new signs to avoid calculation errors.

Sign Properties

For addition and subtraction, group positive terms and negative terms separately to simplify the final calculation step.

Given series:

29, 35, 42, 50, 59, 69, ?

Hence, the correct answer is "Option 4".

Logic followed here is.

Logic: The letters of the first term are shifted forward by an increasing sequence of +1, +2, and +3 to obtain the corresponding letters of the second term.

For

HQL is related to ISO →

DGS is related to EIV →

The pattern observed is: (1^st letter + 1), (2^nd letter + 2), (3^rd letter + 3).

Similarly, let's find the pair that follows the same pattern:

Checking BIR : CKU →

Therefore, the pair 'BIR : CKU' follows the same pattern.

Hence, the correct answer is "Option 4".

Given:

Seven people A, B, C, D, E, F and G are sitting in a row facing north.

Only two people sit to the left of G.

Only three people sit between G and C.

Only one person sits between C and E.

A sits to the immediate left of B.

F is not an immediate neighbour of C.

Now find how many people sit to the right of F:

F is at position 4.

People to the right of F are:

E, D and C

So, 3 people sit to the right of F.

Hence, the correct answer is "Option 4".

Given:

Total students = 40

Rohan is 18^th from the right end.

Position of Rohan from the left end:

= 40 − 18 + 1

= 23

So, Rohan is 23^rd from the left end.

Kajal is 22^nd from the left end.

Now find the number of people between them:

= 23 − 22 − 1

= 0

Therefore, no person stands between Rohan and Kajal.

Hence, the correct answer is "Option 3".

Given:

Seven boxes B, D, E, P, S, T and W are kept one over the other.

Only four boxes are kept between E and W.

Only D is kept above E.

Only two boxes are kept between P and T.

S is kept immediately above B.

T is not kept immediately above S.

Step 1:

Only D is kept above E.

So, D is immediately above E.

Step 2:

Only four boxes are between E and W.

 

Step 3:

S is immediately above B.

Possible vacant places:

(3,4), (4,5), or (5,6)

Step 4:

Only two boxes are between P and T.

Also, T is not immediately above S.

To satisfy all conditions:

 

Now find the box fourth from the top:

The 4^th box from the top is: S

Hence, the correct answer is "Option 3".

Given:

Six people L, M, N, P, Q and R are sitting around a circular table facing the centre.

There are exactly two people between P and N.

M sits second to the right of N.

R sits second to the right of M.

L sits to the immediate left of N.

The possible circular seating arrangement is given below:

Now find the immediate neighbour of both N and M:

Neighbours of N: L and Q

Neighbours of M: Q and P

Common neighbour: Q

Hence, the correct answer is "Option 3".

Given:

Tommy walks north for 30 metres.

Then he turns right and walks 10 metres.

After that, he turns left and walks 25 metres to reach his school.

The possible direct diagram is given below:

Final Direction:

From the starting point, the school is towards:

• North direction

• East direction

Therefore, the school is in the North-east direction.

Hence, the correct answer is "Option 4".

Given:

“stop disturbing people” → “ls ck rp”

“people need peace” → “cd ok rp”

Find the common word:

The common word in both sentences is: people

Find the common code:

Codes in first sentence: ls, ck, rp

Codes in second sentence: cd, ok, rp

The common code is: rp

Therefore, ‘people’ is coded as ‘rp’.

Hence, the correct answer is "Option 3".

Given series:

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

Step 1:

Drop all the even numbers from the series.

Remaining series:

7 1 9 5 3 1 5 7 3 9 5 3 9 1

Step 2:

Now count from the right end:

1^st → 1

2^nd → 9

3^rd → 3

4^th → 5

5^th → 9

6^th → 3

7^th → 7

Therefore, the 7^th number from the right is 7.

Hence, the correct answer is "Option 4".

**Given

Statements:

**

All watches are shirts.

All watches are pants.

Some pants are belts.

Venn Diagram Representation:

Conclusions:

(I) Some belts are watches: Does not follows (Because only “Some pants are belts” is given. There is no definite relation between belts and watches.)

(II) Some pants are shirts: Follows (Because all watches are shirts and all watches are pants. Therefore, watches form a common part of shirts and pants, so some pants are shirts.)

∴ Only conclusion (II) follows.

Hence, the correct answer is "Option 1".

Given:

Ritwik starts from Point A and drives 46 km towards East.

Then:

Takes a right turn and drives 54 km

Takes a right turn and drives 56 km

Takes a right turn and drives 63 km

Takes a final right turn and drives 10 km to reach Point P

Now find shortest distance from Point P to Point A:

Point A = (0,0)

Point P = (0,9)

So, Ritwik is 9 km North of Point A.

To reach Point A again, he must travel:

9 km towards South

Hence, the correct answer is "Option 4".

Logic followed here is: The first number is the sum of the second and third numbers in the set.

For (424, 212, 212) →

Sum = 212 + 212 = 424 (1^st Number)

 

For (508, 302, 206) →

Sum = 302 + 206 = 508 (1^st Number)

 

The pattern observed is: 1^st Number = (2^nd Number + 3^rd Number).

Similarly, let's find the set for (560, 263, 297):

Sum = 263 + 297 = 560 (1^st Number)

 

Therefore, the set '(560, 263, 297)' follows the same pattern.

Hence, the correct answer is "Option 1".