Reasoning PYQs

Given

11 → 1331

12 → 1728

Finding the pattern:

11³ = 11 × 11 × 11 = 1331 

12³ = 12 × 12 × 12 = 1728 

Pattern: Number → Cube of the number (n³)

Now,

13³ = 13 × 13 × 13 = 2197

Hence, the correct answer is Option 3.

Given

P + Q = 2R …… (1)

R + S = 2P …… (2)

From equation (1)

Q = 2R − P

From equation (2)

S = 2P − R

Q + S

Q + S = (2R − P) + (2P − R)

= 2R − P + 2P − R

= R + P

So,  P + R=Q + S

Hence, the correct answer is Option 1.

Given Options:

Lucknow, Kanpur, Varanasi, Jaipur, Agra

Observation:

Lucknow, Kanpur, Varanasi and Agra are cities in Uttar Pradesh.

Jaipur is in Rajasthan.

Hence, the correct answer is Option 3.

Given:

Codes: 5 4 3 2 1

Letters: R O I C D

Formula used:

Match numbers with corresponding letters and form meaningful word

Calculation:

⇒ 5 → R

⇒ 4 → O

⇒ 3 → I

⇒ 2 → C

⇒ 1 → D

⇒ Check option 1: 2, 4, 5, 3, 3, 1, 4, 5

⇒ C, O, R, I, I, D, O, R

⇒ CORIIDOR (not meaningful)

⇒ Check option 2: 2, 4, 5, 5, 3, 1, 4, 5

⇒ C, O, R, R, I, D, O, R

⇒ CORRIDOR (meaningful word)

∴ Correct answer is option (2)

Given Number:

8372625374895

Arrange digits in descending order

Digits: 8, 3, 7, 2, 6, 2, 5, 3, 7, 4, 8, 9, 5

Descending order: 9, 8, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2

New number: 9887765543322

Identify required digits

4^th digit from the left = 7

3^rd digit from the right = 3

Subtract

7 − 3 = 4

Hence, the correct answer is Option 3.

Given:

Distance downstream = 12 km in 3 hours

Distance upstream = 6 km in 2 hours

Find speeds

Downstream speed = 12 ÷ 3 = 4 km/h

Upstream speed = 6 ÷ 2 = 3 km/h

Use formula

Speed of stream = (Downstream speed − Upstream speed) ÷ 2

= (4 − 3) ÷ 2

= 1 ÷ 2

= 0.5 km/h

Hence, the correct answer is "Option 2".

Given

12 : 441

Find the pattern

12² = 144

Reverse of 144 = 441

13² = 169

Reverse of 169 = 961

Hence, the correct answer is Option 1.

Given Statements:

1. Some trees are tall.
2. All tall things are visible.

Conclusions:

I. Some trees are visible → True (Since some trees are tall and all tall things are visible, it follows that the trees which are tall are also visible.)

II. All trees are visible → False (The statements only establish that trees which are tall are visible; there is no information to confirm that every tree is visible.)

Thus, Only conclusion I follows.

Hence, the correct answer is "Option 1".

Statement:

Assumption I: If phones are banned inside classrooms, it is reasonable to assume that they may distract students. Otherwise, there would be no need to prohibit them. So, this assumption is implicit.

Assumption II: The circular implies that students bring phones to class; otherwise, there would be no need to issue such a rule. Hence, this assumption is also implicit.

Hence, the correct answer is Option 3.

The logic is followed here:

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

Each number is divided by 5.

Hence, the correct answer is Option 2.

Given Series:

AZ, BY, CX, DW, ?

Observe the pattern

A ↔ Z

B ↔ Y

C ↔ X

D ↔ W

Each pair consists of opposite letters in the English alphabet.

(A is opposite of Z, B is opposite of Y, C is opposite of X, D is opposite of W)

E is opposite of V.

Hence, the correct answer is Option 1.

The logic is followed here

DELHI → CDKGH

 

Each letter is shifted one step backward in the alphabet.

 

MUMBAI → LTLAZH

Hence, the correct answer is Option 2.

The logic is followed here

AG, BH, CI, ?

Observe the pattern

First letters: A, B, C → increasing by 1 → Next = D

Second letters: G, H, I → increasing by 1 → Next = J

Form the next pair

D + J = DJ

Hence, the correct answer is Option 1.

The logic is followed here

2, 3, 5, 7 are prime numbers.

The next prime number after 7 is 11.

Hence, the correct answer is "Option 2".

Given:

Length = 50 m

Width = 30 m

Use Pythagoras Theorem

Diagonal² = Length² + Width²

= 50² + 30²

= 2500 + 900

= 3400

Diagonal = √3400 ≈ 58.3 m

Closest option = 58 m

Hence, the correct answer is Option 1.

The logic is followed here

S → U (+2)

M → N (+1)

A → C (+2)

R → T (+2)

T → U (+1)

Pattern: +2, +1, +2, +2, +1

Applying the same pattern to TRICK

T → V (+2)

R → S (+1)

I → K (+2)

C → E (+2)

K → L (+1)

TRICK → VSKEL

Hence, the correct answer is "Option 2".

Since the product includes 0, and any number multiplied by 0 becomes 0, the final product is 0.

Correct answer: Option 1.

Given:

BRIDGE → CSJEHF

Finding the pattern:

B → C (+1)

R → S (+1)

I → J (+1)

D → E (+1)

G → H (+1)

E → F (+1)

Each letter is shifted one step forward in the alphabet.

C → D (+1)

S → T (+1)

J → K (+1)

E → F (+1)

H → I (+1)

F → G (+1)

CSJEHF → DTKFIG

Hence, the correct answer is Option 1.

The logic is followed here

M → N (+1)

O → P (+1)

B → C (+1)

I → J (+1)

L → M (+1)

I → J (+1)

T → U (+1)

Y → Z (+1)

Each letter is shifted one step forward in the alphabet.

E → F (+1)

X → Y (+1)

A → B (+1)

M → N (+1)

P → Q (+1)

L → M (+1)

E → F (+1)

 

Hence, the correct answer is Option 1.

The logic is followed here

Check letters of INTEGRAL

Letters: I, N, T, E, G, R, A, L

Compare options

1. ALERTING → A, L, E, R, T, I, N, G  (Same letters)

2. RELATING → R, E, L, A, T, I, N, G  (Same letters)

3. TRIANGLE → T, R, I, A, N, G, L, E  (Same letters)

4. LITERAL → L, I, T, E, R, A, L (Missing N and G; extra L)

LITERAL is not an anagram of INTEGRAL.

**Hence, the correct answer is **Option 4.