Reasoning PYQs

Given equation: F × G ÷ K − M + S × W

The family tree can be drawn using the given information,

Now, let's check each option,

1) M is the sister’s son of G → True

2) S is the husband of K → True

3) S is the brother of G → False

4) G is the wife’s brother of S → True

Hence, the correct answer is "S is the brother of G".

The given statement is: G = Y < U ≤ F > P > T < V

Conclusions:

I. F > G → True (F > U > Y = G)

II. F > T → True (F > P > T)

Hence, the correct answer is "Both conclusions I and II are true".

Let's check each option,

1) CXEW

2) FUHS

3) GTIR

4) MNOL

Here, we can see that Option 1 is different from the others.

Hence, the correct answer is "CXEW".

The logic followed here is,

Triangle : 3 → Triangle has 3 sides.

Similarly,

Hexagon : ? → Hexagon has 6 sides.

Hence, the correct answer is "6".

Let's check each option,

1) 15, 18

→ 13 × 4 ÷ 26 + 18 – 15 = 5

→ 13 × 4/26 + 18 – 15 = 5

→ 2 + 18 – 15 = 5

→ 20 – 15 = 5

→ 15 = 15 

→ LHS = RHS ⇒ Satisfies the equation.

2) 18, 26

→ 13 × 4 ÷ 18 + 15 – 26 = 5

→ 13 × 2/9 + 15 – 26 = 5

→ 26/9 + 15 – 26 = 5

→ 161/9 – 26 ≠ 5

→ LHS ≠ RHS

3) 15, 5

→ 13 × 4 ÷ 26 + 5 – 18 = 15

→ 13 × 2/13 + 5 – 18 = 15

→ 2 + 5 – 18 = 15

→ 7 – 18 = 15

→ - 11 ≠ 15

→ LHS ≠ RHS

4) 13, 5

→ 5 × 4 ÷ 26 + 15 – 18 = 13

→ 5 × 2/13 + 15 – 18 = 13

→ 10/13 + 15 – 18 = 13

→ 205/13 – 18 ≠ 13

→ LHS ≠ RHS

Hence, the correct answer is "15, 18".

The logic followed here is:

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

Now,

48 : 2

→ (2 + 2)³ - (2 + 2)²

→ 43 - 42 

→ 64 - 16 = 48.

448 : 6

→ (6 + 2)3 - (6 + 2)2

→ 83 - 82 

→ 512 - 64 = 448.

Similarly, for ? : 8

→ (8 + 2)3 - (8 + 2)2

→ 103 - 102 

→ 1000 - 100 = 900.

Hence, the correct answer is "Option 3".

1) FUET

2) KPJO

3) IRHQ

4) DWEU

Here, we can see that Option 4 is different from the others. 

Hence, the correct answer is "DWEU".

The logic followed here is,

Logic: Second Number = (Sum of the digits of the first number)

32: 5

→ 5 = (3 + 2)

76: 13

→ 13 = (7 + 6)

Similarly,

99: ?

→ ? = (9 + 9) = 18

Hence, the correct answer is "18".

Let's check each option,

1) 12 and 16

→ (96 ÷ 16) + (7)2 + 18 = 112 – (12 × 3) – (69 ÷ 23)

→ 6 + 49 + 18 = 112 – 36 – 3

→ 73 = 112 – 36 – 3

→ 73 = 73

→ LHS = RHS ⇒ Satisfies the equation.

2) 18 and 16

→ (96 ÷ 12) + (7)2 + 16 = 112 – (18 × 3) – (69 ÷ 23)

→ 8 + 49 + 16 = 112 – 54 – 3

→ 73 = 112 – 54 – 3

→ 73 ≠ 55

→ LHS ≠ RHS

3) 7 and 3

→ (96 ÷ 12) + (3)2 + 18 = 112 – (16 × 7) – (69 ÷ 23)

→ 8 + 9 + 18 = 112 – 112 – 3

→ 35 = 112 – 112 – 3

→ 35 ≠ - 3

→ LHS ≠ RHS

4) 7 and 18

→ (96 ÷ 12) + (18)2 + 7 = 112 – (16 × 3) – (69 ÷ 23)

→ 8 + 324 + 7 = 112 – 48 – 3

→ 339 = 112 – 48 – 3

→ 339 ≠ 61

→ LHS ≠ RHS

Here, we can see that only Option 1 satisfies the equation. 

Hence, the correct answer is "12 and 16".

The logic followed here is,

Goods: Stocks → Goods are individual items that collectively make up stocks in a store or warehouse.

Similarly,

Rioters: Mob → Individual rioters collectively make up a mob.

Hence, the correct answer is "Rioters: Mob".

SYSTEM: SYSMET

NEARER: AENRER

Similarly,

FRACTION: ?

Hence, the correct answer is "CARFNOIT".

The least possible venn diagram is shown below,

Conclusions:

I. Some wires are fans → Not follows (Because it is possible but not definite).

II. No switch is a heater → Follows (Because all switches are fans, and no fan is a heater).

III. No wire is a switch → Not follows (Because it is possible but not definite).

Hence, the correct answer is "Only conclusion II follows".

MARS: 1752223

TIDE: 241389

Similarly,

BABY: ?

Hence, the correct answer is "65629".

The mirror image of the given figure is shown below,

Hence, the correct answer is "Option 1".

According to the given information,

1) K scored more than only two people.

_ > _ > _ > _ > K > _ > _

2) Y scored less than only L and W.

3) W did not score the highest marks. 

L > W > Y > _ > K > _ > _

4) M scored more than Z but less than X.

L > W > Y > X > K > M > Z

Here, we can see that three people scored less than X.

Hence, the correct answer is "Three".

Let's check each option,

1) 2, 30

→ 28 × 8 ÷ 30 + 13 + 2 = 50

→ 28 × 4/15 + 13 + 2 = 50

→ 112/15 + 13 + 2 = 50

→ 112/15 + 15 ≠ 50

→ LHS ≠ RHS

2) 2, 8

→ 28 × 2 ÷ 8 + 13 + 30 = 50

→ 28 × 1/4 + 13 + 30 = 50

→ 7 + 13 + 30 = 50

→ 50 = 50

→ LHS = RHS ⇒ Satisfies the equation.

3) 8, 28

→ 28 × 8 ÷ 2 + 13 + 30 = 50

→ 28 × 4 + 13 + 30 = 50

→ 112 + 13 + 30 = 50

→ 155 ≠ 50

→ LHS ≠ RHS 

4) 30, 50

→ 28 × 8 ÷ 2 + 13 + 50 = 30

→ 28 × 4 + 13 + 50 = 30

→ 112 + 13 + 50 = 30

→ 175 ≠ 30

→ LHS ≠ RHS

Hence, the correct answer is "2, 8".

Let's count the circles,

Here, we can see that there are 16 triangles.

Hence, the correct answer is "16".

The logic followed here is,

Logic: Third Number = (First Number + Second Number - 8) ÷ 2

(11, 55, 29)

→ 29 = (11 + 55 - 8) ÷ 2

→ 29 = (66 - 8) ÷ 2

→ 29 = 58 ÷ 2

(8, 40, 20)

→ 20 = (8 + 40 - 8) ÷ 2

→ 20 = (48 - 8) ÷ 2

→ 20 = 40 ÷ 2

Let's check each option,

1) (12, 62, 32)

→ 32 = (12 + 62 - 8) ÷ 2

→ 32 = (74 - 8) ÷ 2

→ 32 ≠ 66 ÷ 2

2) (7, 35, 25)

→ 25 = (7 + 35 - 8) ÷ 2

→ 25 = (42 - 8) ÷ 2

→ 25 ≠ 34 ÷ 2

3) (9, 54, 23)

→ 23 = (9 + 54 - 8) ÷ 2

→ 23 = (63 - 8) ÷ 2

→ 23 ≠ 55 ÷ 2

4) (6, 30, 14)

→ 14 = (6 + 30 - 8) ÷ 2

→ 14 = (36 - 8) ÷ 2

→ 14 = 28 ÷ 2 ⇒ Satisfies the equation.

Hence, the correct answer is "(6, 30, 14)".

The least possible venn diagram is shown below,

Conclusions:

I. Some laptops are monitors → Not Follows (Because it is possible but not definite).

II. Some monitors are desktops → Not Follows (Because it is possible but not definite).

III. All laptops are printers → Follows (Because all laptops are desktops, and all desktops are printers).

IV. Some monitors are printers → Follows (Because some printers are monitors).

Hence, the correct answer is "Only conclusions III and IV follow".

The least possible venn diagram is shown below,

Conclusions:

I. At least some G are I → Follows (Because some V are I).

II. All I being H is a possibility → Follows (Because some V are I, so it is definitely a possibility).

Hence, the correct answer is "Both conclusions I and II follow".