Given:

Islands: Sicily, Corsica, Sardinia, Iceland

Calculation:

Sicily → Mediterranean Sea

Corsica → Mediterranean Sea

Sardinia → Mediterranean Sea

Iceland → North Atlantic Ocean

⇒ 3 islands in Mediterranean

⇒ 1 island in Atlantic

∴ Iceland is the different island.

Given:

A is brother of B

B is son of C

Formula used:

Brother of son ⇒ Son

Calculation:

B = Son of C

A = Brother of B

⇒ A and B are siblings

⇒ If B is son of C

⇒ A is also son of C

∴ A is the Son of C.

Given:

6 : 42 :: 9 : ?

Formula used:

n × (n + 1)

Calculation:

6 × (6 + 1) = 6 × 7 = 42

⇒ Pattern = n × (n + 1)

9 × (9 + 1) = 9 × 10

⇒ 90

∴ Missing number = 90.

Given:

Some cats are dogs

All dogs are animals

Formula used:

Some A are B + All B are C ⇒ Some A are C

Calculation:

Some cats are dogs

All dogs ⊂ animals

⇒ Some cats are animals ✔

But no statement says All cats are dogs

⇒ All cats are animals ✘

∴ Only Conclusion I follows.

Given:

Series: 2, 4, 3, 6, 4, 8, ?

Formula used:

Alternate pattern: +1 and ×2

Calculation:

2 → 4 (×2)

4 → 3 (−1)

3 → 6 (×2)

6 → 4 (−2?) ✘

Observe properly:

2, 3, 4 → increasing by +1

4, 6, 8 → increasing by +2

Arrange in pairs:

(2, 4), (3, 6), (4, 8)

⇒ Pattern: n, 2n

Next pair starts with 5

⇒ Missing number = 5

Given:

EUROPE → AQNKLA

Find code for RUSSIA

Formula used:

Each letter − 4 positions (Backward shift)

Calculation:

E − 4 = A

U − 4 = Q

R − 4 = N

O − 4 = K

P − 4 = L

E − 4 = A

⇒ Pattern = −4 shift

R − 4 = N

U − 4 = Q

S − 4 = O

S − 4 = O

I − 4 = E

A − 4 = W

∴ RUSSIA = NQOOEW

Given:

ABC, BCD, CDE, DFE, EFG

Formula used:

Ascending alphabetical order (A < B < C)

Calculation:

ABC → A < B < C ✔

BCD → B < C < D ✔

CDE → C < D < E ✔

DFE → D < F but F > E ✘ (not ascending)

EFG → E < F < G ✔

∴ DFE does NOT follow ascending order.

Given:

CG, EI, GK, ?

Formula used:

Alphabet position pattern (+2, +2)

Calculation:

C(3) → E(5) → G(7) → I(9) (+2)

G(7) → I(9) → K(11) → M(13) (+2)

Pairs:

CG

EI

GK

⇒ Next = IM

∴ Missing pair = IM

Given:

K2, Nanda Devi, Kangchenjunga, Doddabetta

Formula used:

Classification by mountain range

Calculation:

K2 → Himalayas

Nanda Devi → Himalayas

Kangchenjunga → Himalayas

Doddabetta → Nilgiri Hills

⇒ 3 belong to Himalayas

⇒ 1 belongs to Nilgiri Hills

∴ Doddabetta is the odd one out.

Given:

Series: 101, 94, 87, 80, 73, ?

Formula used:

Constant difference (−7)

Calculation:

94 − 101 = −7

87 − 94 = −7

80 − 87 = −7

73 − 80 = −7

⇒ Next = 73 − 7

⇒ 66

∴ Missing number = 66.

Given:

Increase = 20%

Decrease = 20%

Formula used:

Net % change = a − b − $\frac{a × b}{100}$

Calculation:

a = 20, b = 20

⇒ Net % = 20 − 20 − $\frac{20 × 20}{100}$

⇒ Net % = 0 − 4

⇒ −4%

∴ Net change = 4% decrease.

Given:

5 $ 2 = 27

7 $ 3 = 64

Find 6 $ 4

Formula used:

(a + b)²

Calculation:

5 + 2 = 7

7² = 49 ✘

Observe properly:

5 + 2 = 7 → 3³ = 27 ✔

7 + 3 = 10 → 4³ = 64 ✔

Pattern:

(a − b)³

5 − 2 = 3 → 3³ = 27

7 − 3 = 4 → 4³ = 64

⇒ 6 − 4 = 2

⇒ 2³ = 8

∴ 6 $ 4 = 8

Given:

MOBILE → NQCKNG

Find code for TABLET

Formula used:

Alternate pattern: +1, +2, +1, +2, +1, +2

Calculation:

M +1 = N

O +2 = Q

B +1 = C

I +2 = K

L +2 = N

E +2 = G

⇒ Pattern confirmed

T +1 = U

A +2 = C

B +1 = C

L +2 = N

E +2 = G

T +2 = V

∴ TABLET = UCCNGV

Given:

FISH → 6-9-19-8

Find code for HSIF

Formula used:

Letter position in English alphabet

Calculation:

F = 6

I = 9

S = 19

H = 8

⇒ Code is alphabetical position

H = 8

S = 19

I = 9

F = 6

∴ HSIF = 8-19-9-6

Given:

@ = −

% = ×

= +

Expression: 10 % 2 @ 4 # 3

Formula used:

BODMAS rule

Calculation:

10 % 2 @ 4 # 3

⇒ 10 × 2 − 4 + 3

⇒ 20 − 4 + 3

⇒ 16 + 3

⇒ 19

∴ Answer = 19

Given:

Statements: Some stars are planets. Some planets are moons.

Conclusions: I. Some moons are stars. II. All planets being stars is a possibility.

Formula used:

Syllogism Rules (Venn Diagram Method)

Calculation:

For Conclusion I:

⇒ Stars and Moons have no direct connection in the basic diagram.

⇒ Conclusion I is "False" (Not a definite follow).

For Conclusion II:

⇒ Statement says "Some stars are planets".

⇒ In a possible case, the set of Planets can be entirely inside the set of Stars.

⇒ This does not contradict the given statements.

⇒ Conclusion II is "True" (Possibility exists).

∴ Only conclusion II follows.

Given:

Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Formula used:

Product of numbers

Calculation:

0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9

⇒ Any number × 0 = 0

⇒ Product = 0

∴ Answer = 0

Given:

Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Formula used:

Sum of first 9 natural numbers = n(n + 1) / 2

Calculation:

Sum = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

⇒ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

⇒ $\frac{9 × 10}{2}$

⇒ 45

∴ Answer = 45

Given:

THRIVE → UISJWF

Find code for UISJWF

Formula used:

Each letter +1 (Forward shift)

Calculation:

T +1 = U

H +1 = I

R +1 = S

I +1 = J

V +1 = W

E +1 = F

⇒ Pattern = +1 shift

U +1 = V

I +1 = J

S +1 = T

J +1 = K

W +1 = X

F +1 = G

∴ UISJWF = VJTKXG

Given:

MONKEY = XDJMNL

Formula used:

Reverse coding: Pattern = (Last letter – 1), (Second last – 1) ... (First letter – 1)

Calculation:

For MONKEY:

⇒ Y – 1 = X

⇒ E – 1 = D

⇒ K – 1 = J

⇒ N – 1 = M

⇒ O – 1 = N

⇒ M – 1 = L

Code = XDJMNL

For TIGER:

⇒ R – 1 = Q

⇒ E – 1 = D

⇒ G – 1 = F

⇒ I – 1 = H

⇒ T – 1 = S

∴ TIGER = QDFHS