Reasoning PYQs

The logic followed here is :-  

Given:

Hibiscus – a flower

Tulip – a flower

Apple – a fruit

Daisy – a flower

Hibiscus, Tulip, and Daisy are flowers, while Apple is a fruit.

So, the word that does not belong to the category is: Apple

Hence, the correct answer is Option 2.

The logic followed here is: n³ - n

⇒ 1³ - 1 = 1 - 1 = 0

⇒ 2³ - 2 = 8 - 2 = 6

⇒ 3³ - 3 = 27 - 3 = 24

⇒ 4³ - 4 = 64 - 4 = 60

⇒ 5³ - 5 = 125 - 5 = 120

⇒ 6³ - 6 = 216 - 6 = 210 = ?

Thus, "210" will replace the question mark in the given series.

Hence, the correct option is "Option 3".

The logic followed here is:

thus, "143" will replace the question mark in the given series.

Hence, the correct option is "Option 1".

Given Statements:

No student of Class X failed the science exam this year.

Conclusions:

I. The science exam was very easy - False  (Even if no one failed, it doesn’t prove the exam was easy.

Students might have prepared well, or grading may have been lenient.).

II. All students of Class X passed science - True (If no student failed, it logically means all students passed.).

So, Only Conclusion II follows

Hence, the correct answer is "Option 2".

Given:

Statement: Although recent advancements in quantum computing have significantly improved processing speeds, the stability of quantum states remains a critical barrier to developing large-scale quantum computers for practical applications.

Assumptions:

I. Quantum computing holds the potential for faster data processing than classical computing - True (Because the statement explicitly mentions that advancements in quantum computing have significantly improved processing speeds. This assumes that faster processing is an important potential advantage of quantum computing.)

II. Quantum states are inherently unstable, making large-scale quantum computing unfeasible - False (Because the statement says that the stability of quantum states is a critical barrier, but it does not state that quantum states are inherently unstable or that large-scale quantum computing is completely unfeasible. The issue is presented as a current technological challenge.)

III. Recent advancements in quantum computing have resolved the issue of quantum state stability - False (Because the statement explicitly states that quantum-state stability remains a critical barrier. Therefore, the stability problem has not been resolved by recent advancements.)

So, only Assumption I is implicit.

Hence, the correct answer is "Option 3".

The logic followed here is :-  

Given Word: GARDEN

Letters: G, A, R, D, E, N

Alphabetical order: A, D, E, G, N, R

New letter cluster: A D E G N R

Thus, Fifth from the left → N

Third from the right → G

Here,  Alphabetical order: G, H, I, J, K, L, M, N

Letters between G and N: H, I, J, K, L, M

So, Total letters = 6

Hence, the correct answer is Option 3.

The logic followed here is :-  

Given Word: "ELEVATE"

1^st letter → E

2^nd letter → L

4^th letter → V

5^th letter → A

So, the letters are: E, L, V, A

Thus, Possible meaningful words:

VEAL

VALE

LAVE

All three are valid English words.

Therefore, total meaningful four-letter words = 3

Hence, the correct answer is Option 3.

The logic followed here is:

Logic: The address should match exaxtly.

Given Addrtess:

Rajesh Verma 15B, Sapphire Towers, Jaipur, 302018

Now, checking all the given options:

1. Rajesh Verma 15B, Sapphire Towers, Jaipur, 302018

⇒ Exactly the same.

2. Rajesh Verma 15B, Sapphire Towers, Jaipur, 302019

⇒ PIN code is different (302019 instead of 302018).

3. Rajesh Verma 15B, Sapphire Tower, Jaipur, 302018

⇒ "Tower" is singular instead of "Towers".

4. Rajesh Verma 15B, Sapphire Towers, Jaipur, 302017

⇒ PIN code is different (302017 instead of 302018).

Hence, Option 2 is the correct answer.

The logic followed here is :-

EK :: MS

Similarly, FP : ?

Hence, the correct answer is "Option 3".

The logic followed here is :-

Logic: Swap letters in pairs → (1↔2), (3↔4), (5↔6)

Given:

NUMBER : UNBMRE

NUMBER Positions: 

Rearranged as: 2 1 4 3 6 5 ⇒ U N B M R E

Similarly, GHOSTS : ?

GHOSTS Positions: 

Rearranged as: 2 1 4 3 6 5 ⇒ H G S O S T

Hence, the correct answer is "Option 3".

Family Chart:

Given: 

“He is the son of my mother's only son.”

Means: Your mother’s only son = your brother

So, Brother’s son = Nephew.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: All numbers are factorials (!)

These numbers look like factorials:

2 = 2!

6 = 3!

24 = 4!

120 = 5!

720 = 6! 

So, Next should be: 7! = 5040

thus, Instead of 5040, the series has 1000, which is not a factorial number.

Hence, the correct option is "Option 3".

The logic followed here is:

Logic: In the first three sets, each number is double the previous number.

Given,

(11, 22, 44), (13, 26, 52), (15, 30, 60), (14, 28, 43)

Now, checking the options:

Option 1) (11,22,44)

⇒ 11 × 2 = 22

22 × 2 = 44

Option 2) (13,26,52)

⇒ 13 × 2 = 26

26 × 2 = 52

Option 3) (15,30,60)

⇒ 15 × 2 = 30

30 × 2 = 60

Option 4) (14,28,43)

⇒14 × 2 = 28

28 × 2 = 56 (but given 43)

 Hence, the correct option is "Option 4".

The logic followed here is:

Logic: the pattern is a @ b = a² + b

Given:

WRITE is coded as YTKVG,

Similarly,  READ = ?

Hence, the correct answer is "Option 1."

The logic followed here is:

Logic: (1^st number × 2^nd number) + (2^nd number +1) = 3^rd number.

Given:

If 5 # 3 = 19,

⇒ 5 # 3 = (5 × 3) + (3 + 1) = 15 + 4 = 19 

and 7 # 2 = 17,

⇒ 7 # 2 = (7 × 2) + (2 + 1) = 14 + 3 = 17

Similarly, 9 # 1?

⇒ 9 # 1 = 9 × 1 + (1 + 1) = 9 + 2 = 11

Hence, the correct answer is "Option 4."

Shortcut Trick

Initial Ratio (Milk : Water) = 7 : 3 (Total = 10 units)

Final Ratio = 1 : 1 → Equate Milk (since only water is added) → 7 : 7

Increase in Water units = 7 − 3 = 4 units

Given 10 units = 60 L ⇒ 1 unit = 6 L

Added Water = 4 units × 6 L = 24 L

∴ The correct answer is 24 L.

Alternate Method

Given: Total mixture = 60 L, Initial ratio (M:W) = 7 : 3, Final ratio (M:W) = 1 : 1.

⇒ Total parts in initial mixture = 7 + 3 = 10 units

⇒ Quantity of Milk = (7 ÷ 10) × 60 = 42 L

⇒ Quantity of Water = (3 ÷ 10) × 60 = 18 L

⇒ In the final 1 : 1 mixture, let the water added be x liters.

⇒ New Water content = 18 + x

⇒ Milk : Water = 42 : (18 + x) = 1 : 1

⇒ 42 = 18 + x

⇒ x = 42 − 18 = 24 L

∴ The correct answer is 24 L.

Additional Information

Constant Quantity Concept

When one component of a mixture is added or removed, the quantity of the other component remains constant. Always equate the parts of the constant component in the ratio calculations.

Ratio Balancing

To simplify calculations, multiply the final ratio by a factor that makes the non-changing substance equal in both ratios (e.g., if milk is 7 parts initially, make it 7 parts in the final ratio).

Percentage Method

Initial Milk % = 70%. In 1:1 ratio, Milk % = 50%. Using inverse variation: Total Volume₁ × %₁ = Total Volume₂ × %₂ ⇒ 60 × 70 = V_new × 50 ⇒ V_new = 84 L.

Family Chart:

Given: 

“She is the daughter of the only child of my grandmother.”

Aryan’s grandmother has only one child.

That child must be Aryan’s parent (either father or mother).

Therefore, the girl is Aryan’s Sister.

Hence, the correct answer is "Option 3".

Family Chart:

Given: 

My father’s wife → This is Ramesh’s mother. 

The two sons of my father’s wife → This means Ramesh and his brother, because both are sons of the same mother

The boy is the younger of the two sons → So the boy must be Ramesh’s younger brother. 

So, the football-playing boy is Ramesh’s brother.

Hence, the correct answer is "Option 1".

Given:

A = 11 / 19

B = 2 / 9

We need to find: A − B

Formula Used: a/b − c/d = (ad − bc) / bd

Calculation:

A − B = (11/19) − (2/9)

Take LCM of 19 and 9:

19 × 9 = 171

Now convert into like fractions:

(11 × 9 − 2 × 19) / 171

= (99 − 38) / 171

= 61 / 171

Now convert to decimal:

61 ÷ 171 ≈ 0.356 ≈ 0.36

∴ The correct answer is "Option 1."

Shortcut Trick

Step 1: Calculate the sum of the given numbers: 35 + 46 = 81.

Step 2: Multiply the result by 2 as per the requirement: 81 × 2 = 162.

∴ The correct answer is 162.

Alternate Method

Given:

First number = 35

Second number = 46

Multiplier = 2

Calculation:

According to the question, we need to find the result of [(35 + 46) × 2].

⇒ Result = (35 + 46) × 2

⇒ Result = 81 × 2

⇒ Result = 162

Alternatively, using the distributive property:

⇒ (35 × 2) + (46 × 2)

⇒ 70 + 92 = 162

∴ The correct answer is 162.

Additional Information

BODMAS Rule

This rule dictates the order of operations: Brackets, Orders, Division, Multiplication, Addition, and Subtraction. In this problem, the sum (addition) is performed first because it is implied by the phrasing before the multiplication.

Distributive Property

The property states that a × (b + c) = (a × b) + (a × c). This allows for multiplying each term inside the sum individually before adding them together.