Reasoning PYQs

The logic followed here is:

Hence, the correct answer is "Option 4".

Correct Option - 2

Hence, the correct answer is "Option 2".

The position and positional values or English Alphabets are:

The logic followed here is:

So, PKW will replace the question mark (?) in the following series.

Hence, the correct answer is "Option 1".

The position and positional values or English Alphabets are:

The logic followed here is:

So, LQBD will replace the question mark (?) in the following series.

Hence, the correct answer is "Option 4".

Given equation: 30 - 12 ÷ 3 × 2 + 4 = 122

BODMAS Table:

Let check each option, one by one:

1. ÷ and -

After interchanging the symbols, we get:

⇒ 30 ÷ 12 - 3 × 2 + 4 = 122

⇒ 2.5 - 3 × 2 + 4 = 122

⇒ 2.5 - 6 + 4 = 122

⇒ 6.5 - 6 = 122

⇒ 0.5 ≠ 122

2. - and ×

After interchanging the symbols, we get:

⇒ 30 × 12 ÷ 3 - 2 + 4 = 122

⇒ 360 ÷ 3 - 2 + 4 = 122

⇒ 120 - 2 + 4 = 122

⇒ 124 - 2 = 122

⇒ 122 = 122

3. × and +

After interchanging the symbols, we get:

⇒ 30 - 12 ÷ 3 + 2 × 4 = 122

⇒ 30 - 4 + 2 × 4 = 122

⇒ 30 - 4 + 2 × 4 = 122

⇒ 30 - 4 + 8 = 122

⇒ 38 - 4 = 122

⇒ 34 ≠ 122

4. ÷ and +

After interchanging the symbols, we get:

⇒ 30 - 12 + 3 × 2 ÷ 4 = 122

⇒ 30 - 12 + 3 × 0.5 = 122

⇒ 30 - 12 + 1**.5** = 122

⇒ 31.5 - 12 = 122

⇒ 19.5 ≠ 122

So, "- and ×" are the two signs to interchange to correct the equation.

Hence, the correct answer is "Option 2".

Family Chart:

Given: X is the daughter of Y. Y is the son of Z. W is the wife of Z.

So, W is grandmother of X.

Hence, the correct answer is "Option 2".

Given: 7, 22, 89, ____, 2677, 18740

The logic followed here is:

7

7 × 3 + 1 = 21 + 1 = 22

22 × 4 + 1 = 88 + 1 = 89

89 × 5 + 1 = 445 + 1 = 446

446 × 6 + 1 = 2676 + 1 = 2677

2677 × 7 + 1 = 18379 + 1 = 18740

So, "446" is the missing term.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: a # b = a × b

1. 6 # 2 = 12 → 6 × 2 = 12
2. 5 # 3 = 15 → 5 × 3 = 15
3. 4 # 4 = 16 → 4 × 4 = 16
4. 7 # 1 = 21 → 7 × 1 = 7 ≠ 21

So, "7 # 1" is the odd one out.

Hence, the correct answer is "Option 4".

Given:

Statement: The discovery of gravitational waves has provided strong evidence for Einstein's theory of general relativity, but it also opens up new possibilities for understanding the universe's most extreme phenomena, such as black holes and neutron stars.

Assumptions:

I. Gravitational waves offer new insights into the nature of the universe - True (Because the statement says that the discovery "opens up new possibilities for understanding" extreme phenomena in the universe, which presupposes that gravitational waves provide new insights into the universe.)

II. Einstein's theory of general relativity has been conclusively proven by the discovery of gravitational waves - False (Because the statement refers to "strong evidence," not conclusive proof. Scientific evidence can strongly support a theory without proving it conclusively.)

III. The study of gravitational waves will lead to new breakthroughs in astrophysics - False (Because the statement only suggests that new possibilities have opened up. It does not assume that future breakthroughs are certain to occur.)

So, only Assumption I is implicit.

Hence, the correct answer is "Option 3".

Statement: Fewer people applied for teaching posts this year.

Now,

Conclusions:

I. Teaching is losing popularity. - False (A fall in applications does not definitively suggest a decline in popularity; it could be due to other factors such as eligibility criteria or fewer vacancies.)

II. Applicants may be seeking better-paying jobs. - False (The statement does not mention salary or external factors, so this is an assumption rather than a logical deduction.)

So, neither I nor II follows.

Hence, the correct answer is "Option 4".

The logic followed here is:

CIRCLE : DJSFMD

Similarly,

SQUARE : ?

So, TRVDSD is the group of letters that best completes the analogy based on the given letter transformation pattern.

Hence, the correct answer is "Option 2".

Statement: All plants are living beings. Some living beings are animals.

Least possible Venn diagram,

Conclusions:

I. Some plants are animals - Does not follow (There is no direct relation given between plants and animals. so it is possible not definite).

II. All animals are plants - Does not follow (There is no direct relation given between plants and animals. so it is possible not definite).

So, neither I nor II follows.

Hence, the correct answer is "Option 4".

Given: Find the word which is between the 1^st and 4^th letters of the following word as per the English alphabet series.

CUTE

The position and positional values or English Alphabets are:

So, D comes between C and E.

Hence, the correct answer is "Option 2".

The position and positional values or English Alphabets are:

The logic followed here is:

So, I5 will complete the series.

Hence, the correct answer is "Option 4".

The logic followed here is:

1. Monopoly – A market structure where a single seller controls the entire supply of a product or service.
2. Oligopoly – A market structure where a few large firms dominate the market and influence prices.
3. Barter – A system of exchange where goods and services are traded directly without using money.
4. Duopoly – A market structure where only two sellers control the market.

Monopoly, Oligopoly, and Duopoly are all types of market structures, whereas Barter is a method of exchange.

So, Barter is the odd one out.

Hence, the correct answer is "Option 3".

Given:

MOUSE is coded as 45291

RAT as 786

Similarly,

So, STORE is coded as 96571.

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: a @ b = a² + b

4 @ 3 = 19 → 4² + 3 = 16 + 3 = 19

2 @ 5 = 9 → 22 + 5 = 4 + 5 = 9

Similarly,

5 @ 2 = ? → 52 + 2 = 25 + 2 = 27

So, 27 will come in the place of '?'.

Hence, the correct answer is "Option 4".

Given: 

'FLOW' is written as 'G#3X'

'WOLF' is written as 'X3#G'

Similarly,

So, 'FOWL' is written as G3X#.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: a $ b = (a + b)²

2 $ 2 = 16 → (2 + 2)² = 4² = 16

3 $ 3 = 36 → (3 + 3)² = 6² = 36

Similarly,

4 $ 4 → (4 + 4)² = 8² = 64

So, 64 will come in the place of '?'.

Hence, the correct answer is "Option 2".

Shortcut Trick

Initial Ratio (Acid : Water) = 5 : 3 (Total = 8 units)

Final Ratio (Acid : Water) = 1 : 1. Since acid remains constant, make acid parts equal: 1 : 1 × 5 = 5 : 5.

Change in water units = 5 − 3 = 2 units.

8 units = 40 L ⇒ 1 unit = 5 L.

Water to be added = 2 units × 5 L = 10 L.

∴ The correct answer is 10 L.

Alternate Method

Given:

Total solution = 40 L

Ratio of Acid to Water = 5 : 3

Formula Used:

Quantity of component = (Component ratio / Total ratio) × Total quantity

Calculations:

⇒ Quantity of Acid in 40 L = (5 / (5 + 3)) × 40 = (5 / 8) × 40 = 25 L

⇒ Quantity of Water in 40 L = 40 − 25 = 15 L

⇒ Let the amount of water added be 'x' L.

⇒ New ratio of Acid to Water = 25 / (15 + x) = 1 / 1

⇒ 25 = 15 + x

⇒ x = 25 − 15 = 10 L

∴ The correct answer is 10 L.

Additional Information

Ratio Balancing Method

When one component is added or removed, keep the other component's ratio parts equal to simplify the comparison of the changing component.

Rule of Alligation

Used to find the ratio in which two or more ingredients at their respective prices/concentrations must be mixed to produce a mixture of a desired price/concentration.

Concentration Percentage

Percentage of Acid = (Acid / Total Volume) × 100. In a 1:1 mixture, the concentration of both components is exactly 50%.