Reasoning PYQs

Given:

Prakash starts from Point A and drives 37 km towards the north.

He then takes a left turn and drives 40 km.

He again takes a left turn and drives 55 km.

He then takes a left turn and drives 64 km.

Finally, he takes a left turn and drives 18 km and stops at Point P.

Therefore, the shortest distance is 24 km and the direction is West.

Hence, the correct answer is "Option 2 – 24 km to the West".

Given series:

DEL, GFJ, JGH, MHF, ?

Observe each position separately:

Therefore, the next term is PID.

Hence, the correct answer is Option 2.

Given:

FOUR → 5812

ROUT → 5628

Find common letters in both words:

Code for "T" is "6".

Hence, the correct answer is Option 4.

Given:

• Seven boxes A, B, C, D, E, F and G are kept one over the other.
• Only four boxes are kept between A and E.
• Only C is kept above A.
• Only two boxes are kept between G and F.
• B is kept immediately above D.
• F is not kept immediately above B.

How many boxes are kept below B?

Step 1: Place C and A

"Only C is kept above A"

So A must be in the 2^nd position from the top and C in the 1^st position.

 

Step 2: Place E

There are exactly four boxes between A and E.

A is at position 2, therefore E must be at position 7.

 

Step 3: Place B and D

B is immediately above D.

Possible vacant pairs are:

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

Step 4: Place F and G

There are exactly two boxes between F and G.

Also, F is not immediately above B.

The arrangement that satisfies all conditions is:

 

Step 5: Count boxes below B

B is at position 4.

Boxes below B are:

• D
• F
• E

Total boxes below B = 3

Therefore, the number of boxes kept below B is 3.

Hence, the correct answer is "Option 1".

Given:

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

We need to find the even digits which are:

Immediately preceded by an even digit and immediately followed by an odd digit.

Required pattern:

Even digit → Even digit → Odd digit

Checking the series:

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

The even digits satisfying the condition are:

• 4 in (8 4 3)

• 2 in (8 2 7)

• 4 in (6 4 1)

Therefore, there are 2 such even digits.

Hence, the correct answer is "Option 2".

Given series:

6, 10, 18, 30, 46, ?

Observe the pattern:

So, the next term will be 66.

Hence, the correct answer is "Option 2".

Given letter-clusters:

GIL, KMP, VXA, JLP

Observe the alphabetical pattern:

For GIL,

For KMP,

For VXA,

In the first three letter-clusters, the pattern is:

First letter +2 → Second letter

Second letter +3 → Third letter

But in JLP,

the second gap is +4 instead of +3.

Therefore, JLP does not follow the pattern.

Hence, the correct answer is "Option 4".

Given:

MGRC → HCOA

VOWB → QKTZ

Observe the pattern:

For, MGRC → HCOA

The same pattern is followed in:

For, VOWB → QKTZ

So, apply the same logic to QNVT.

Therefore,

QNVT → LJSR

Hence, the correct answer is "Option 3".

Given:

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

• A sits to the immediate left of F.
• C sits third to the left of E.
• C is an immediate neighbour of F.
• D sits to the immediate left of B.

Between B and C, only one person (D) sits.

Hence, the correct answer is "One" (Option 4).

The logic followed here is:

Logic: Each letter in the second cluster is obtained by adding 9 to the positional value of the corresponding letter in the first cluster.

For VYA − EHJ:

For HKM − QTV:

The pattern observed is: (First cluster letters) + 9 = (Second cluster letters).

Similarly, let's check the options for the same pattern:

Option (2) TWY − CFH:

Therefore, the pair 'TWY − CFH' follows the same pattern.

Hence, the correct answer is "Option 2".

Given:

JIKO → ZYAE

VUWA → LKMQ

Observe the pattern:

For, JIKO → ZYAE

 

For, VUWA → LKMQ

Now apply the same logic to RQSW:

Therefore,

RQSW → HGIM

Hence, the correct answer is "Option 1".

Shortcut Trick

Swap signs: ÷ → ×, + → −, × → ÷, − → +.

New expression: 79 × 7 − 464 ÷ 4 + 386.

Apply unit digit logic: (9 × 7) − (Unit digit of 464 ÷ 4) + 6.

Unit digit calculation: 3 − 6 + 6 = 3.

Among the options, only 823 ends with the digit 3.

∴ The correct answer is 823.

Alternate Method

Given expression: 79 ÷ 7 + 464 × 4 − 386

Interchanging '+' with '−' and '×' with '÷':

⇒ 79 × 7 − 464 ÷ 4 + 386

According to BODMAS rule (Division → Multiplication → Addition → Subtraction):

⇒ 79 × 7 − 116 + 386

⇒ 553 − 116 + 386

⇒ 437 + 386

⇒ 823

∴ The correct answer is 823.

Additional Information

BODMAS Rule

Standard order for operations: Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction.

Mathematical Sign Interchange

Always rewrite the complete expression after replacing all specified symbols before starting any arithmetic calculations.

Unit Digit Method

Useful for saving time by calculating only the last digit of the final result to match with the given options.

Logic followed here is: The value for each subsequent number in the series is determined by subtracting a difference that decreases by a constant value of 3 at each step.

 

Therefore, the code for '?' is 100.

Hence, the correct answer is "Option 1".

Given:

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

• Only three people sit between D and E.

• B sits to the immediate left of E.

• No one sits to the right of G.

• Only two people sit between G and B.

• A sits to the immediate right of F.

Only G sits to the right of C.

Therefore, 1 person sits to the right of C.

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.

• A is an immediate neighbour of both E and B.

• B sits third to the left of F.

• D sits to the immediate left of F.

• G is not an immediate neighbour of B.

Now count from the right of G:

From G, moving towards the right:

G → B → A → E → C

People between G and C are:

B, A and E

So, 3 people sit between C and G when counted from the right of G.

Hence, the correct answer is "Option 2".

Given:

Total students in the class = 31

Pooja is 9^th from the right end.

Position of Pooja from the left end:

= 31 − 9 + 1

= 23

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

Tanya is 16^th from the left end.

Now find the number of people between them:

= 23 − 16 − 1

= 6

Therefore, 6 people stand between Pooja and Tanya.

Hence, the correct answer is "Option 4".

Logic followed here is to arrange the digits of the given number in ascending order and then find the sum of the specified positions.

Given Number:

 

Arranging the digits in ascending order:

New number formed = 1345678

Identifying the required digits:

→ Digit which is second from the left = 3

→ Digit which is second from the right = 7

⇒ Sum of these digits = 3 + 7 = 10

Hence, the correct answer is "Option 2".

Logic followed here is: Arrange the given numbers in descending order (from highest to lowest) and compare the new arrangement with the original sequence to determine how many numbers remain in the same position.

Original Sequence →

 

Descending Order Arrangement →

 

The pattern observed is that the following numbers have not changed their positions:

1. 625 remains at the 2^nd position.

2. 359 remains at the 4^th position.

3. 245 remains at the 5^th position.

There are 3 such numbers whose positions remain unchanged.

Hence, the correct answer is "Option 3".

Given:

“trust builds bond” → “zn fy tk”

“keep your trust” → “fy ep rb”

Therefore, ‘trust’ is coded as ‘fy’.

Hence, the correct answer is "Option 1".

The logic applied here is:

(Third number - Second number) = 2 × (Second number - First number)

Given sets:

(15, 39, 87)

(27, 51, 99)

Observe the pattern:

87 − 39 = 48

39 − 15 = 24

48 = 2 × 24

Similarly,

99 − 51 = 48

51 − 27 = 24

Again,

48 = 2 × 24

Now check the options:

Option 1: (49, 73, 122)

122 − 73 = 49

73 − 49 = 24

49 ≠ 2 × 24

Option 2: (83, 107, 155)

155 − 107 = 48

107 − 83 = 24

48 = 2 × 24 

Option 3: (72, 95, 143)

143 − 95 = 48

95 − 72 = 23

48 ≠ 2 × 23

Option 4: (55, 79, 128)

128 − 79 = 49

79 − 55 = 24

49 ≠ 2 × 24

Therefore, the correct set is:

(83, 107, 155)

Hence, the correct answer is "Option 2".