Reasoning PYQs

Logic followed here is.

Logic: The series is formed by adding consecutive odd numbers starting from 1 to each preceding term to obtain the next term.

The sequence of differences is 1, 3, 5, 7, which are consecutive odd numbers.

Therefore, the number that should come in place of the question mark is 148.

Hence, the correct answer is "Option 3".

Given:

Manish starts from Point Y.

Movement details:

37 km North

Left turn → 75 km West

Left turn → 69 km South

Left turn → 52 km East

Left turn → 32 km North

If Point Z is 23 km West of Point Y, then to reach Point Y again he must travel:

23 km towards East

Hence, the correct answer is "Option 3".

Given Code Language:

We draw the following table from given conditions:

 

Given Expression:

D * R ± A ₹ C # O: D is the son of R. R is the wife of A. A is the father of C. C is the sister of D.

Family Structure:

So, D is the brother of O.

Hence, the correct answer is "Option 2".

Given:

Jason starts from his house.

Movement details:

30 km West

Right turn → 20 km North

Left turn → 10 km West

Left turn → 40 km South

Left turn → 40 km East

If Jason is 20 km South of his house, then he must travel:

20 km towards North

Hence, the correct answer is "Option 4".

Given:

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

B sits second to the left of C.

D is an immediate neighbour of E.

F sits to the immediate left of E.

F sits second to the right of A.

Find position of C with respect to E

From E, moving anti-clockwise two places reaches C.

Therefore, C is second to the left of E.

Hence, the correct answer is "Option 2".

Given Series : GKI JNL MQO PTR ?

The logic followed here is:

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

Hence, the correct answer is "Option 3".

Logic followed here is: (1^st Number + 2^nd Number) = 3^rd Number.

For

(158, 568, 726) →

Sum = 158 + 568 = 726

 

(123, 402, 525) →

Sum = 123 + 402 = 525

Similarly, Option 4):

Checking (180, 203, 383):

Sum = 180 + 203 = 383

Therefore, the set that follows the same logic is (180, 203, 383).

Hence, the correct answer is "Option 4".

Shortcut Trick

Identify the logic: The differences between consecutive terms are squares of consecutive natural numbers starting from 5.

Differences: 38−13 = 25 (5²) | 74−38 = 36 (6²) | 123−74 = 49 (7²)

Following the pattern, the next difference must be 8² = 64.

Missing number = 123 + 64 = 187.

Verification: 187 + 9² = 187 + 81 = 268.

∴ The correct answer is 187.

Alternate Method

Given series: 13, 38, 74, 123, ?, 268

13 +25 → 38 +36 → 74 +49 → 123 +64 → 187 +81 → 268

The pattern follows the addition of consecutive perfect squares:

⇒ 13 + 5² = 13 + 25 = 38

⇒ 38 + 6² = 38 + 36 = 74

⇒ 74 + 7² = 74 + 49 = 123

⇒ 123 + 8² = 123 + 64 = 187

⇒ 187 + 9² = 187 + 81 = 268

∴ The correct answer is 187.

Additional Information

Square Series

A series where the difference between terms is based on perfect squares (n²) like 1, 4, 9, 16, 25, 36, etc.

Difference Series

The most common method to solve number series is checking the first difference; if no pattern is found, check the second difference (double difference).

Arithmetic Progression (AP)

A sequence of numbers such that the difference between the consecutive terms is constant (d). Term T_n = a + (n−1)d.

Given Mapping:

 

Applying the logic to the given equation:

120 B 15 A 5 D 18 C 22 = ?

By replacing the letters with their respective signs, we get:

120 × 15 ÷ 5 − 18 + 22

Following BODMAS rule:

⇒ 120 × (15 ÷ 5) - 18 + 22 = ? 

⇒ 120 × 3 - 18 + 22 = ?

⇒ 360 - 18 + 22 = ?

⇒ 382 -18 = ?

⇒ 364 = ?

∴  The value that will come in place of the question mark is 364.

Hence, the correct answer is "Option 2".

Given:

‘+’ and ‘−’ are interchanged

‘×’ and ‘÷’ are interchanged

Given Equation:

77 ÷ 12 + 252 x 14 - 177 = ?

After interchanging the signs:

So the equation becomes:

77 × 12 − 252 ÷ 14 + 177

Applying BODMAS Rule:

= 77 × 12 − 18 + 177

= 924 − 18 + 177

= 906 + 177

= 1083

Therefore, the value of the question mark is 1083.

Hence, the correct answer is Option 2.

Logic followed here is:

In each triad, the first letters of the pairs follow a pattern of +2 and +3 positional shifts, while the second letters of the pairs follow a pattern of +2 and -4 positional shifts.

For HQ - JS - MO

 

For FO - HQ - KM

 

Similarly, Option 1) DM - FO - IK:

 

Therefore, the triad that follows the same pattern is 'DM-FO-IK'.

Hence, the correct answer is "Option 1".

Given Series:

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

Required pattern: Odd → Odd → Odd

Checking the series:

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

Odd numbers satisfying the condition:

→ 1 in (7 1 9)

→ 7 in (5 7 1)

Therefore, there are 2 such odd numbers.

Hence, the correct answer is Option 3.

Given Mapping:

 

Given Equation:

(56 A 7) B 9 D (14 A 7) B 5 C 36 A 4 D 11

Replace letters with symbols:

(56 ÷ 7) × 9 − (14 ÷ 7) × 5 + 36 ÷ 4 − 11

Applying BODMAS Rule:

= (8) × 9 − (2) × 5 + 9 − 11

= 72 − 10 + 9 − 11

= 62 + 9 − 11

= 71 − 11

= 60

Therefore, the value of the question mark is 60.

Hence, the correct answer is Option 4.

Given Codes:

‘live with truth’ → ‘xf je ak’

‘truth guides life’ → ‘ub mr je’

Therefore, the code for ‘truth’ is je.

Hence, the correct answer is "Option 4".

Given Codes:

‘work fosters growth’ → ‘hw mq pc’

‘growth with effort’ → ‘yv ju mq’

Therefore, the code for ‘growth’ is mq.

Hence, the correct answer is "Option 3".

Given Series: 115 95 77 61 47 ?

The pattern followed here is:

The numbers are decreasing by consecutive even numbers:

20, 18, 16, 14, 12

∴ According to the pattern followed, 35 will replace the (?) mark.

Hence, the correct answer is "Option 4".

**Given

Statements:

**

• Some lamps are bulbs.
• No bulb is a torch.
• No bulb is a candle.

 

 

Conclusion I: No lamp is a torch: Does not follows (We know only that some lamps are bulbs, and no bulb is a torch.)

Conclusion II: Some candles are torches: Does not follow ( because,The statements provide no direct relationship between candles and torches.)

Therefore, neither Conclusion I nor Conclusion II follows.

Hence, the correct answer is: Neither I nor II follows.

Given:

Total students = 38

Z is 12^th from the left end.

G is 3^rd to the right of Z.

Step 1: Find G's position from the left end

Z's position from left = 12

G is 3 places to the right of Z:

12 + 3 = 15

So, G is 15^th from the left end.

Step 2: Find G's position from the right end

Formula:

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

= 38 − 15 + 1

= 24

So, G is 24^th from the right end.

Hence, the correct answer is "Option 2".

Given Series:

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

Required pattern: Odd → Even → Odd

Checking the series: (Left) 1 3 9 3 2 6 8 3 9 6 2 2 7 7 7 7 3 3 7 3 8 3 5 6 5 9 6 (Right)

The even numbers satisfying the condition are:

→ 8 in (3 8 3)

→ 6 in (5 6 5)

Therefore, there are 2 such even numbers.

Hence, the correct answer is "Option 1".

**Given

Statements:

**

No Fictions are Nonfictions.

All Nonfictions are Poetries.

Some Poetries are Dramas.

**Checking

Conclusions:

**

**(I) Some Fictions are Poetries: Follows (**because, No direct relation is given between Fictions and Poetries.)

(II) Some Nonfictions are Dramas: Does not follows ( because Nonfictions ⊂ Poetries, Some Poetries are Dramas. But it is not fixed that those Poetries which are Dramas are also Nonfictions.)

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

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