Reasoning PYQs

BODMAS Table: 

Given equation: 12 ÷ 5 + 21 × 3 - 2 = ? + 5

Now, replacing the symbols:

⇒ 12 × 5 - 21 ÷ 3 + 2 = ? - 5

⇒ 12 × 5 - 21 ÷ 3 + 2 = ? - 5

⇒ 60 - 21 ÷ 3 + 2 = ? - 5

⇒ 60 - 7 + 2 = ? - 5

⇒ 60 - 7 + 2 = ? - 5

⇒ 53 + 2 = ? - 5

⇒ 55 = ? - 5

⇒ ? = 55 + 5

⇒ 60

Hence, the correct answer is "Option 4".

Given: Seven friends B, C, D, T, U, V and W are sitting in a straight line facing north.

No one sits to the right of B.

Only two people sit between B and D.

D sits to the immediate left of W.

Only three people sit between C and W.

T sits to the immediate right of V.

So, there are 2 people between U and T.

Hence, the correct answer is "Option 3".

The logic followed here is:

Given:

Ajay starts from Point A (0, 0)

10 km East

Right turn → 5 km South

Left turn → 10 km East

Left turn → 5 km North

So, To return to Point A, Ajay must move 20 km West.

Hence, the correct answer is Option 4.

The logic followed here is based on the alphabetical position pattern:

Option 1: PWS

Option 2: FMI

Option 3: LSO

Option 4: NJI

Thus, NJI does not follow the pattern.

Hence, the odd one out is Option 4.

Given

Statements:

Some seeds are berries.

All fruits are berries.

The least possible Venn diagram for the given statement is:

Conclusions:

I. Some seeds are fruits → Does not follow (Although some seeds are berries and all fruits are berries, there is no definite information that seeds overlap with fruits.)

II. All berries are fruits → Does not follow  (The statement says "All fruits are berries," which means Fruits are a subset of Berries. It does not mean that all Berries are Fruits.)

So, neither conclusion I nor conclusion II follows.

Hence, the correct answer is Option 4.

L

The logic followed here is:

For, KIGK → JHFJ

For, JHFJ → IGEI

Now, apply the same to SQOS:

So, SQOS → RPNR

Hence, the correct answer is Option 2.

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

Now,

Even numbers, which are immediately preceded by an odd number and also immediately followed by an odd number.

So, Needed pattern is: Odd - Even - Odd

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

So, total valid even numbers = 3

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The middle two letters are swapped first, and then the entire word is reversed.

For, FACE → AFCE → ECAF

For, CASE → ACSE → ESAC

Now, check the options using the same pattern:

Option 1) LONG → OLNG → ONGL

Option 2) MAIN → AMIN → NIAM

Option 3) GONE → OGNE → EONG

Option 4) TEAM → TAEM → MAET

Hence, the correct answer is Option 2.

The logic followed here is:

So, 'QQC' will replace the question mark in the given series.

Hence, the correct answer is "Option 3"

The logic followed here is:

Given:

Ajeet starts from Point Y (0, 0)

12 km North

Right turn → 33 km East

Right turn → 67 km South

Right turn → 48 km West

Right turn → 55 km North

Left turn → 27 km West

So, To return to Point Y, Ajeet must move 42 km East.

Hence, the correct answer is Option 2.

Family Chart:

Decoding the Symbols:

Given: S # D + V & I % M

It means: S is the brother of D, D is the husband of V, V is the mother of I, and I is the sister of M.

So, S is the father’s brother.

Hence, the correct answer is Option 4 .

The logic followed here is:

Logic: Number of people between = Total − (Sum of positions)

For Positions of Z and G → 16 and 7

Sum of positional values = 16 + 7 = 23

Total strength = 61

Now, Number of people between  = 61 − (16 + 7)

= 61 − 23

= 38

Hence, the correct answer is Option 4.

Given: A, B, C, D, E, F and G sit around a circular table facing the centre.

C sits third to the left of F.

B sits second to the left of E.

F is an immediate neighbour of both G and B.

D is not an immediate neighbour of C.

So, there are 0 people between B and D.

Hence, the correct answer is "Option 2".

Given:

Mr. Ggg is 26^th from the left in a row of 87 people.

Mr. Zzz is 11^th from the right.

Mr. Zzz’s position from left = (87 + 1) − 11 = 77

Now, positions are:

Mr. Ggg = 26^th from left

Mr. Zzz = 77^th from left

Number of people between them = (77 − 26) − 1 = 50

Hence, the correct answer is Option 2.

The logic followed here is:

TMCB → 76

Sum = 20 + 13 + 3 + 2 = 38

38 × 2 = 76

GKIR → 90

Sum = 7 + 11 + 9 + 18 = 45

45 × 2 = 90

Now, VAPD →

Sum = 22 + 1 + 16 + 4 = 43

43 × 2 = 86

Hence, the correct answer is Option 1.

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

Now,

Odd digits, which are immediately preceded by a perfect square digit and also immediately followed by a prime digit.

Perfect Square Digits = 1, 4, 9

Prime Digits = 2, 3, 5, 7

So, Needed pattern is: Perfect Square - Odd - Prime

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

So, total valid odd digits = 3

Hence, the correct answer is Option 4.

Shortcut Trick

Pattern: Subtraction of multiples of 5 in decreasing order.

115 − 30 = 85

85 − 25 = 60

60 − 20 = 40

40 − 15 = 25

25 − 10 = 15

∴ The correct answer is 15.

Alternate Method

Given series: 115, 85, 60, 40, 25, ?

115 −30 → 85 −25 → 60 −20 → 40 −15 → 25 −10 → 15

The logic follows a difference of difference pattern where each subtracted value is 5 less than the previous one.

⇒ 115 − 85 = 30

⇒ 85 − 60 = 25

⇒ 60 − 40 = 20

⇒ 40 − 25 = 15

⇒ Next difference = 15 − 5 = 10

⇒ Missing term = 25 − 10 = 15

∴ The correct answer is 15.

Additional Information

Difference Series

A numerical sequence where the pattern is found by subtracting consecutive terms (T_n − T_n-1).

Arithmetic Progression of Differences

When the differences between consecutive terms (30, 25, 20, 15, 10) form an Arithmetic Progression with a common difference (in this case, −5).

Decreasing Series

A series where each successive term is smaller than the previous one, usually involving subtraction or division logic.

Given

Statements:

All parks are huts.

All huts are districts.

All districts are cities.

The least possible Venn diagram for the given statement is:

Conclusions:

I. All parks are districts → Follows (Since all parks are huts and all huts are districts, all parks must be districts.)

II. All huts are cities → Follows (Since all huts are districts and all districts are cities, all huts must be cities.)

So, both conclusion I and conclusion II follow.

Hence, the correct answer is Option 3.

The logic followed here is based on the alphabetical position pattern:

Option 1: UY - TX

Option 2: GK - FJ

Option 3: RV - QV

Option 4: LP - KO

Thus, RV - QV does not follow the pattern.

Hence, the odd one out is Option 3.

BODMAS Table: 

Decoding the given information:

Now, replacing the sign from left to right using BODMAS Rule, we get:

⇒ 49 × 9 − 609 ÷ 7 + 214 = ?

⇒ 441 − 87 + 214 = ?

⇒ 655 − 87 = ?

⇒ 568

Hence, the correct option is "Option 4".