Reasoning PYQs

The logic followed here is:

Each term consists of three consecutive letters of the English alphabet, and every next term shifts forward by one letter.

RST → STU → TUV → UVW → VWX → WXY → XYZ → YZA

Thus, the missing term in the series is ZAB.

Hence, the correct answer is "Option 1".

Given:

Length of train = 180 m

Time taken = 12 s

Formula used:

Speed = Distance ÷ Time

Calculations:

Distance covered = 180 m

⇒ Speed = 180 ÷ 12

⇒ Speed = 15 m/s

⇒ Speed in km/h = 15 × 18 ÷ 5 = 54 km/h

∴ The speed of the train is 54 km/h.

The logic followed here is,

Logic: A & A = 2(A)²

For,

4 & 4 ⇒ 2 (4)² = 32

5 & 5 ⇒ 2 (5)² =50

Similarly,

 6 & 6 ⇒ 2 (6)² = 72

So, the value of 6&6 is 72

Hence, the correct answer is "Option 1"

The logic followed here is:

For, ‘TRUTH’ is written as ‘UQSVI’

Similarly, for ‘FALSE’

So, ‘FALSE’ will be written as ‘GZJUF’.

Hence, the correct answer is "Option 2".

Shortcut Trick

Use the direct inverse relationship formula for constant work:

M₁ × D₁ = M₂ × D₂

Substitute the given values into the formula:

⇒ 6 × 10 = 15 × D₂

⇒ D₂ = 60 ÷ 15 = 4 days

∴ The correct answer is 4 days.

Alternate Method

Given:

Initial number of machines (M₁) = 6

Initial number of days (D₁) = 10 days

New number of machines (M₂) = 15

Formula Used:

Total Work = Number of Machines × Days

Calculations:

⇒ Let the total work be the LCM of work components or the total machine-days required.

⇒ Total Work = 6 machines × 10 days = 60 units

⇒ Let the number of days required by 15 machines be D₂.

⇒ 15 × D₂ = 60

⇒ D₂ = 60 ÷ 15

⇒ D₂ = 4 days

∴ The correct answer is 4 days.

Additional Information

Inverse Variation Rule

When work remains constant, efficiency is inversely proportional to the time taken. If the number of machines increases, the days required to complete the same work will decrease proportionately.

General MDH Formula

For complex work structures: (M₁ × D₁ × H₁) ÷ W₁ = (M₂ × D₂ × H₂) ÷ W₂, where M is resources, D is days, H is working hours, and W is work quantity.

Individual Machine Contribution

If machines operate at the same rate, each individual machine contributes exactly 1/N of the total combined output rate for N machines.

The logic followed here is,

Logic: A # B = A² + B² − 3

For,

8 # 2 ⇒ 8² + 2² − 3 = 64 + 4 − 3 = 65

7 # 3 ⇒ 7² + 3² − 3 = 49 + 9 − 3 = 55

Similarly,

6 # 5 ⇒ 6² + 5² − 3 = 36 + 25 − 3 = 58

So, the value of 6 # 5 is 58.

Hence, the correct answer is " Option 3 "

Family chart :

Given : Introducing a woman, Jay said, "She is the daughter of the only child of my grandfather."

     

So, the women is the 'sister' of jay.

Hence, the correct answer is " Option 2 ".

BODMAS Table:

Given equation : 10 – 5 + 3 × 2 = ?

Now, if  '+' means '×' and '×' means '-' and '-' means '÷', then:

⇒ 10 ÷ 5 × 3 - 2 = ?

⇒ 2 × 3 - 2 = ?

⇒ 6 - 2 = 4

Hence, the correct answer is " Option 4 "

The logic followed here is :

So, ' 127 ' is the missing number in given series

Thus, the correct answer is " Option 1 "

The logic followed here is:

So, 87 is the incorrect combination in given series, it will be 85.

Hence the correct answer is " Option 4 "

The pattern followed here is:

Hence, the correct answer is "Option 2".

Given statement: C ≥ T ; A = D ≥ O ; G ≥ D < S ; T ≥ A

Combine relations:

C ≥ T ≥ A = D ≥ O

G ≥ D < S

Conclusions:

I. A ≤ O → False (From A = D ≥ O, we get A ≥ O, so A ≤ O is incorrect.)

II. C ≥ G → False (From C ≥ T ≥ A = D and G ≥ D, no definite relation can be established between C and G.)

Thus, Neither I nor II follows.

∴ The correct answer is "Option 4".

Preparing the family tree diagram using the following symbols

A possible tree diagram will be:

∴ From the above diagram D is the Granddaughter of C.

Hence, the correct answer is "Option 1".

Logic followed here is:

TIME : EMIT

Similarly,

LEAF : ?

Hence, the correct answer is “Option 2”.

The pattern followed here is:

∴ The next term will be '720'.

Given:

Statement: All citizens must abide by traffic laws.

Conclusions:

I. Citizens who disobey traffic laws must be punished - False (Because the statement only prescribes that citizens must obey traffic laws. It does not state or necessarily imply that those who disobey must be punished.)

II. Obeying traffic laws shows civic responsibility - False (Because the statement does not mention civic responsibility. This is a value judgment that goes beyond the information given in the statement.)

So, neither follows.

Hence, the correct answer is "Option 4".

Statement:

To reduce traffic congestion in urban areas, cities should invest in public transportation infrastructure, even though it requires significant initial investments.

Analysis:

I. Public transportation can effectively reduce traffic congestion – True (The statement suggests investing in public transport to reduce congestion, so it assumes public transport can help reduce traffic.)

II. The initial cost of building transportation infrastructure is high – True (The statement clearly mentions that it requires significant initial investments.)

III. People are willing to shift from private vehicles to public transportation – False (The statement does not necessarily assume people are willing to shift; it only suggests investment in infrastructure.)

Thus, Only I and II are implicit.

∴ The correct answer is "Option 1".

Given Statement:

Thousands of students appeared for the entrance exam conducted across the country.

Conclusions:

I. The exam is popular and competitive.

II. All students who appeared will get admission.

Analysis:

I. The exam is popular and competitive – True (Since thousands of students appeared for the exam, it indicates that the exam is popular and likely competitive.)

II. All students who appeared will get admission – False (The statement does not say that all students will get admission; entrance exams usually select only some candidates.)

Hence, Only Conclusion I follows.

∴ The correct answer is "Option 1".

Statements:

All circles are shapes.

Some shapes are squares.

All squares are polygons.

The least possible Venn diagram is:

Conclusions:

I. Some shapes are polygons – True (Since some shapes are squares and all squares are polygons, therefore those shapes which are squares are also polygons.)

II. Some polygons are circles – False (No definite relation is given between polygons and circles, so this cannot be concluded.)

Thus, Only Conclusion I follows.

Hence, the correct answer is "Option 1".

Rose – Flowering plant

Lotus – Flowering aquatic plant

Sunflower – Flowering plant

Tulip – Flowering plant

Oak – Tree, not a flower

✅ Common pattern:

Rose, Lotus, Sunflower, and Tulip are flowers.

❌ Different:

Oak is a tree, not a flower.

Therefore, the odd one out is: Oak.