Reasoning PYQs

Given number: 987654321

The logic followed here is:

Rule: To find remainder when divided by 9, add all digits of the number.

Sum of digits:  9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 =45

Now 45 is divisible by 9:

⇒ 45 ÷ 9 = 5

⇒ Remainder = 0

So, the remainder when 987654321 is divided by 9 is 0.

Hence, the correct answer is "Option 3".

Given equation: 12 × 2 + 6 ÷ 3 - 8 = 8

BODMAS Table:

Let's check each option one by one:

Option 1)  + and -

Given: 12 × 2 + 6 ÷ 3 - 8 = 8

After interchanging the signs we get:

⇒ 12 × 2 - 6 ÷ 3 + 8 = 8

⇒ 24 - 6 ÷ 3 + 8 = 8

⇒ 24 - 2 + 8 = 8

⇒ 22 + 8 = 8

⇒ 30 ≠ 8

⇒ LHS ≠ RHS

Option 2) × and ÷

Given: 12 × 2 + 6 ÷ 3 - 8 = 8

After interchanging the signs we get:

⇒ 12 ÷ 2 + 6 × 3 - 8 = 8

⇒ 6 + 6 × 3 - 8 = 8

⇒ 6 + 18 - 8 = 8

⇒ 24 - 8 = 8 ⇒

16 ≠ 8

⇒ LHS ≠ RHS

Option 3) ÷ and -

Given: 12 × 2 + 6 ÷ 3 - 8 = 8

After interchanging the signs we get:

⇒ 12 × 2 + 6 - 3 ÷ 8 = 8

⇒ 24 + 6 - 3 ÷ 8 = 8

⇒ 24 + 6 - 0.375 = 8

⇒ 29.625 ≠ 8

⇒ LHS ≠ RHS

Option 4) × and +

Given: 12 × 2 + 6 ÷ 3 - 8 = 8

After interchanging the signs we get:

⇒ 12 + 2 × 6 ÷ 3 - 8 = 8

⇒ 12 + 2 × 6 ÷ 3 - 8 = 8

⇒ 12 + 12 ÷ 3 - 8 = 8

⇒ 12 + 4 - 8 = 8

⇒ 16 - 8 = 8 ⇒ 8 = 8

 ⇒ LHS = RHS 

Hence, the correct answer is "Option 4".

The logic followed here is:

 FIRST number → 111, 222, 333, 444 → increases by +111 each time

 SECOND number → 222, 333, 444, 555 → increases by +111 each time

 Pattern: Each term's first number = previous term's second number

So:

111×222 → 222×333 → 333×444 → 444×555

⇒ 333 + 111 = 444

⇒ 444 + 111 = 555

Thus, the missing term is 444×555.

Hence, the correct answer is "Option 1".

The logic followed here is:

(Bodies of water — Rivers vs Ocean)

Hooghly → A river in West Bengal, India 

Tapti → A river in central India 

Indian Ocean → An ocean — the largest body of water among the options 

Mahanadi → A river in eastern India 

Three (Hooghly, Tapti, Mahanadi) are all rivers in India, while Indian Ocean is an ocean — an entirely different category of water body.

Thus, Indian Ocean is different from the others.

Hence, the correct answer is "Option 3".

The logic followed here is:

Feathers, Claw, and Ear are all external parts or features of an animal's body.

Lung is an internal organ.

Hence, the correct answer is "Option 4".

Family chart :

Given: A is B's father. C is B's sister. D is A's wife

So, D is the Mother of C.

Hence, the correct answer is " Option 1 ".

Given: A is the father of B, but B is not the son of A

So, B is the Daughter of A.

Hence, the correct answer is "Option 4".

The logic followed here is:

**⇒**each number is multiplied by ×3

So, '243' is the missing number in the given series.

Hence, the correct answer is "Option 1".

Given: Team misses a major deadline. You are the team lead.

Let's check all the options:

(1) Quit the project ⇒ Quitting shows lack of responsibility and leaves the team without leadership at a critical time.  ⇒ It is not appropriate.

(2) Stay silent ⇒ Staying silent means hiding the issue from stakeholders which makes the situation far worse.  ⇒ It is not appropriate.

(3) Analyze reasons and communicate next steps ⇒ This is the most responsible action. A good team lead identifies the root cause, owns the failure and communicates a clear recovery plan to stakeholders.  ⇒ It is the most appropriate action.

(4) Blame someone ⇒ Blaming others destroys team trust and morale and does not solve the problem. A leader takes responsibility. ⇒ It is not appropriate.

Hence, the correct answer is "Option 3".

Given series: 2=12, 3=36, 4=80, 5=150, 6=252, 7=392, 8=?

Let's check the pattern:

The logic followed here is:

n × n × (n+1) = n² × (n+1)

⇒ 8 × 8 × 9

⇒ 64 × 9 = 576

So, the value of 8 = 576.

Hence, the correct answer is "Option 1".

Given: 8 persons on 8 floors (1=bottom, 8=top) 

Fix known positions Khush = Floor 3 (Fixed)

Vivek lives below Khush → Vivek = Floor 1 or 2

Sudhir lives two floors above Dipak Dipak=2, Sudhir=4 

Vaibhav and Vimal Vaibhav = even, not 6 → Floor 8 Vaibhav just above Vimal → Vimal = Floor 7

Dhruv Dhruv = even, not adjacent to Sudhir(4) → not 3,5 → Floor 6

Vivek Dipak=2 → Vivek = Floor 1

Sapna Remaining = Floor 5 Not adjacent to Dipak(2) → Floor 5 

Initial Table (Partial):

• Sapna not adjacent to Dipak(F2) → not F1 or F3 → F5

Final Arrangement:

Vaibhav(F8) and Dipak(F2):

Persons between → Vimal(7), Dhruv(6), Sapna(5), Sudhir(4), Khush(3) = 5 persons

So, 5 persons live between Vaibhav's and Dipak's floor.

Hence, the correct answer is "Option 2".

Decoding symbols for Family Tree:

Given:

P is the grandfather of U (Male). Since there are three generations, P is in the 1^st generation and U is in the 3^rd.

R is the son-in-law of S. This implies S is in the 1^st generation and R is in the 2^nd generation, married to a child of S.

S has only two children, both of the same gender. Since R is a son-in-law, S must have two daughters.

T is the sister-in-law of R. This means T is the other daughter of S (sister of R's wife).

V is the son of Q. (V is Male).

There are only two married couples. One is (P and S) in the 1^st generation. The other must be (R and Q) in the 2^nd generation, as Q would be the daughter of S and mother of V and U.

Family Structure:

 

Thus, there are 4 male members: P, R, U, V.

Hence, the correct answer is "Option 1".

Given Statements: All musicians are artists.

Some artists are dancers.

No dancer is blind.

The least possible Venn diagram for the given statement is:

Conclusions:

I. Some artists are not blind — True (Because, Dancers are part of Artists and No dancer is blind, so those artists who are dancers are definitely not blind). 

II. All blind are not dancers — True (Because, No dancer is blind directly means no blind person can be a dancer, so All blind are not dancers). 

So, Both conclusions I and II follow.

Hence, the correct answer is "Option 3 ".

Given letters: A V S E B O R I N T O

Let's arrange the letters to form a meaningful word:

AVSEBORINTO → OBSERVATION 

Now find position of A from the left:

 

 So, A is at position 7 from the left.

Hence, the correct is "Option 2".

The logic followed here is:

So, 'M' is the missing term in the given series.

Hence, the correct answer is "Option 1".

The logic followed here is :

So, " IK " is the missing term in the given series.

Hence, the correct answer is " Option 4 ".

Given: × = + , + = − , − = × , / = ÷

Let's check each option one by one.

Option 1) 10 × 2 + 4 – 1 = 21

After replacing signs:

⇒ 10 + 2 − 4 × 1 = 21

⇒ 10 + 2 − 4 = 21

⇒ 12 − 4 = 21

⇒ 8 ≠ 21

⇒ LHS ≠ RHS

Option 2) 8 – 2 × 3 + 1 = 15

After replacing signs:

⇒ 8 × 2 + 3 − 1 = 15

⇒ 16 + 3 − 1 = 15

⇒ 19 − 1 = 15

⇒ 18 ≠ 15

⇒ LHS ≠ RHS

Option 3) 12 + 6 – 2 × 2 = 28

After replacing signs:

⇒ 12 − 6 × 2 + 2 = 28

⇒ 12 − 12 + 2 = 28

⇒ 12 − 10 = 28

⇒ 2 ≠ 28

⇒ LHS ≠ RHS

Option 4) 14 – 3 + 5 × 2 = 39

After replacing signs:

⇒ 14 × 3 − 5 + 2 = 39

⇒ 42 − 5 + 2 = 39

⇒ 42 − 3 = 39

⇒ 39 = 39 

⇒ LHS = RHS 

Hence, the correct answer is "Option 4".

The logic followed here is: 

So, ' 95 ' is the missing number in the given series.

Hence, the correct answer is " Option 1 ".

Given: Total people = 6

The logic followed here is:

Each handshake involves 2 people, so using the combination formula:

Total Handshakes = ⁿC₂ = n(n-1) / 2

Where n = total number of people

⇒ Total Handshakes = 6 × (6-1) / 2

⇒ Total Handshakes = 6 × 5 / 2

⇒ Total Handshakes = 30 / 2

⇒ Total Handshakes = 15

The logic followed here is: 

For, 'BRICK is coded as CSJDL'

Similarly, for 'CSJDL'

So, CSJDL is coded as DTKEM.

Hence, the correct answer is "Option 1".