Reasoning PYQs

Logic followed here is: The series follows a pattern of constant subtraction where each subsequent term is obtained by subtracting 10 from the preceding term.

Pattern analysis:

For the first missing number (?)

Term before the first question mark is 769.

First missing number = 769 - 10 = 759

For the second missing number (?)

Term before the second question mark is 749.

Second missing number = 749 - 10 = 739

The completed series is: 789, 779, 769, 759, 749, 739, 729.

Therefore, the numbers that should come in place of the question marks are 759 and 739, respectively.

Hence, the correct answer is "Option 4".

**Given

Statements:

**

All atoms are protons.

Some protons are neutrons.

Venn Diagram Representation:

Conclusions:

(I) All atoms are neutrons: Does not follows (Because only some protons are neutrons. There is no definite relation given between atoms and neutrons.)

(II) No neutron is a proton: Does not follows (Because the statement says “Some protons are neutrons”, which means some neutrons are protons.)

∴ Neither conclusion I nor II follows.

Hence, the correct answer is "Option 2".

Logic followed here is.

Logic: The digits of the number are rearranged in ascending order from left to right, and their new positions are compared with the original number.

For the original number 8325716:

 

Arranging the digits in ascending order:

 

The pattern observed is the comparison between the original positions and the new positions:

1^st digit: 8 → 1 (Changed)

2^nd digit: 3 → 2 (Changed)

3^rd digit: 2 → 3 (Changed)

4^th digit: 5 → 5 (Unchanged)

5^th digit: 7 → 6 (Changed)

6^th digit: 1 → 7 (Changed)

7^th digit: 6 → 8 (Changed)

Therefore, only the position of the digit 5 remains unchanged.

The total count of digits with unchanged positions is One.

Hence, the correct answer is "Option 4".

Given:

Sunil starts from Point A and drives 64 km towards West.

Then:

• Takes a left turn and drives 63 km

• Takes a left turn and drives 67 km

• Takes a left turn and drives 78 km

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

Now find the shortest distance and direction from P to A:

Point A = (0, 0)

Point P = (0, 15)

So, Sunil is 15 km North of Point A.

To reach Point A again, he must travel:

15 km towards South

Hence, the correct answer is "Option 2".

Logic followed here is: Each letter of the first cluster is shifted 10 positions backward in the English alphabetical order to obtain the corresponding letter of the second cluster.

MIDQ is related to CYTG →

YUPC is related to OKFS →

The pattern observed is: (Positional value of letter) - 10.

Similarly, let's find the cluster related to UQLY:

Therefore, the cluster related to 'UQLY' is 'KGBO'.

Hence, the correct answer is "Option 1".

Given letter-cluster pairs:

CI - EL

IO - KQ

JP - LR

NT - PV

Observe the pattern:

In most pairs, each letter of the second cluster is obtained by adding +2 to the corresponding letter of the first cluster.

Check each option:

Option 2: IO - KQ

Option 3: JP - LR

Option 4: NT - PV

Option 1: CI - EL

Thus, CI - EL does not follow the common pattern.

Hence, the correct answer is "Option 1".

Shortcut Trick

The series follows a pattern of adding decreasing consecutive even numbers.

Pattern: +10, +8, +6, +4, +2

Next term = 410 + 2 = 412

∴ The correct answer is 412.

Alternate Method

Given series: 382, 392, 400, 406, 410, ?

382

+10
→

392

+8
→

400

+6
→

406

+4
→

410

+2
→

412

The differences between consecutive terms are decreasing even numbers starting from 10.

⇒ 392 − 382 = 10

⇒ 400 − 392 = 8

⇒ 406 − 400 = 6

⇒ 410 − 406 = 4

⇒ Next difference = 4 − 2 = 2

⇒ Missing number = 410 + 2 = 412

∴ The correct answer is 412.

Additional Information

Arithmetic Progression (AP)

A series where the difference between consecutive terms remains constant throughout the series.

Progressive Difference Series

A series where the difference between terms follows its own logical pattern (e.g., +2, +4, +6 or ×2, ×3, ×4).

Double Difference Series

A series where the differences between the differences are constant, often used to identify quadratic patterns.

Letter to Symbol Mapping:

 

The given equation is: 10 C 6 B 2 D 45 A 5 = ?

Substituting the letters with mathematical operators: 10 + 6 × 2 − 45 ÷ 5

The calculation is as follows:

10 + (6 × 2) - (45 ÷ 5)

= 10 + 12 - 9

= 22 - 9

= 13

Therefore, the value that will come in place of the question mark is 13.

Hence, the correct answer is "Option 3".

Given:

→ Varun starts from Point M and drives 8 km towards the south.

→ He then takes a left turn and drives 10 km.

→ Turns left and drives 3 km.

→ Then takes a right turn and drives 5 km.

→ Then takes a right turn and drives 7 km.

→ Takes a final right turn and drives 15 km to reach Point Y.

Therefore, Point Y is 12 km towards south from Point M.

Hence, the correct answer is "Option 2".

Given series:

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

Logic followed:

We need to find even numbers which are:

Immediately preceded by an odd number

Immediately followed by an odd number

Required pattern: Odd Number → Even Number → Odd Number

Checking the series:

7 4 3 1 9 6 7 7 2 3 3 8 1 8 8 4 1 1 9 5 2 3 3 8 1 8 6 1 4

The even numbers satisfying the condition are:

4 (in 7 4 3)

6 (in 9 6 7)

2 (in 7 2 3)

8 (in 3 8 1)

2 (in 5 2 3)

8 (in 3 8 1)

Therefore, there are 6 such even numbers.

Hence, the correct answer is "Option 1".

Given Code: D*R₹A#C±O

The meanings of the symbols are as follows:

 

Determining the relationship:

From the above diagram:

C and D are sisters (both are daughters of R).

C is the wife of O.

Therefore, D is the sister of O's wife.

The pattern observed is: D is the Wife's sister of O.

Hence, the correct answer is "Option 1".

Given:

Kartik is ranked 19^th from the top and 54^th from the bottom.

Formula used:

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

Calculation:

= 19 + 54 − 1

= 73 − 1

= 72

Therefore, there are 72 students in the class.

Hence, the correct answer is "Option 2".

**Given

Statements:

**

All hammers are anvils.

All anvils are metals.

All metals are plastics.

Conclusions:

(I) All hammers are plastics: Follows (Because all hammers are anvils, all anvils are metals, and all metals are plastics. Therefore, all hammers are plastics.)

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

∴ Both conclusions (I) and (II) follow.

Hence, the correct answer is "Option 4".

Given:

‘error mall bat’ is coded as ‘yr uh cl’

‘gap error unit’ is coded as ‘uh at nk’

Observe the common word:

The common word in both statements is “error”.

The common code in both code groups is “uh”.

Therefore, “error” is coded as “uh”.

Hence, the correct answer is "Option 2".

The logic followed here is based on the positional values of the letters in the English alphabetical series.

Pattern: The second cluster is formed by adding 5 to the positional values of the corresponding letters in the first cluster.

(1) NO − ST

(3) YZ − DE

(4) RS − WX

But,

(2) MN − QU

Therefore, the letter-cluster pair 'MN − QU' is the odd one out.

Given Series:

HIE 50 GHD 62 FGC 74 EFB 86 ?

∴ According to the pattern followed DEA 98 will replace the (?) mark.

Hence, the correct answer is "Option 2".

Given:

→ Six people L, M, N, O, P and Q are sitting in a row facing north.

→ N is sitting at the leftmost end.

→ Only 3 people are sitting between N and Q.

→ L is sitting second right of P.

→ M is sitting second right of L.

→ PL → 1 person between them 

→ NO → 1 person between them 

→ LM → 1 person between them 

→ OP → Adjacent 

Thus, OP does not belong to the group.

Hence, the correct answer is "Option 1".

Given series:

3, 5, 9, 17, 33, ?

Observe the pattern:

3 × 2 - 1 = 5

5 × 2 - 1 = 9

9 × 2 - 1 = 17

17 × 2 - 1 = 33

So, 33 × 2 - 1 = 65

Therefore, the missing number is 65.

Hence, the correct answer is "Option 3".

Given:

Mr. Hepa ranked 22^nd from the bottom and 57^th from the top.

Formula used:

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

Calculation:

= 57 + 22 - 1

= 79 - 1

= 78

Therefore, there are 78 students in the class.

Hence, the correct answer is "Option 2".

Logic followed here is: The letters of the first word are shifted by a pattern of +6, -5, +4, and -3 respectively to obtain the letters of the second word.

For NMGT : THKQ →

For LSQR : RNUO →

The pattern observed is shifting the letters by: +6, -5, +4, -3.

Similarly, let's find the relation for GIUH:

Therefore, 'GIUH' is related to 'MDYE'.

Hence, the correct answer is "Option 3".