Reasoning PYQs

Given equation: 48 ÷ 3 + 12 × 4 – 6 × 7 + 21 = 27

According to the question, after interchanging the numbers:

Option 1) 3 and 4

48 ÷ 3 + 12 × 4 – 6 × 7 + 21 = 27 ⇒ 48 ÷ 4 + 12 × 3 – 6 × 7 + 21 = 27

⇒ 48 ÷ 4 + 12 × 3 – 6 × 7 + 21 = 27

⇒ 12 + 12 × 3 – 6 × 7 + 21 = 27

⇒ 12 + 36 + 21 – 42 = 27

⇒ 69 – 42 = 27

⇒ 27 = 27 (LHS = RHS)

Option  2) 3 and 6

48 ÷ 3 + 12 × 4 – 6 × 7 + 21 = 27 ⇒ 48 ÷ 6 + 12 × 4 – 3 × 7 + 21 = 27

⇒ 48 ÷ 6 + 12 × 4 – 3 × 7 + 21 = 27

⇒ 8 + 12 × 4 – 3 × 7 + 21 = 27

⇒ 8 + 48 + 21 – 21 = 27

⇒ 77 – 21 = 27

⇒ 56 ≠ 27 (LHS ≠ RHS)

Option  3) 4 and 7

48 ÷ 3 + 12 × 4 – 6 × 7 + 21 = 27 ⇒ 48 ÷ 3 + 12 × 7 – 6 × 4 + 21 = 27

⇒ 48 ÷ 3 + 12 × 7 – 6 × 4 + 21 = 27

⇒ 16 + 12 × 7 – 6 × 4 + 21 = 27

⇒ 16 + 84 + 24 – 21 = 27

⇒ 124 – 21 = 27

⇒ 103 ≠ 27 (LHS ≠ RHS)

Option  4) 12 and 21

48 ÷ 3 + 12 × 4 – 6 × 7 + 21 = 27 ⇒ 48 ÷ 3 + 21 × 4 – 6 × 7 + 12 = 27

⇒ 48 ÷ 3 + 21 × 4 – 6 × 7 + 12 = 27

⇒ 16 + 21 × 4 – 6 × 7 + 12 = 27

⇒ 16 + 84 + 42 – 12 = 27

⇒ 142 – 42 = 27

⇒ 100 ≠ 27 (LHS ≠ RHS)

Hence, "Option 1" is the correct answer.

The logic followed here is:

Option 1) Bone – orthopaedic ⇒ Correct

Orthopaedic specialist treat bone issues.

Option 2) Uterus – urologist ⇒ Incorrect

Urologist specialize in urinary tract and male reproductive system.

Gynecologist specialize in uterus. 

Option 3) Stomach – gastroenterologist ⇒ Correct

Gastroenterologist specialize in stomach and digestive system.

Option 4) Eye – ophthalmologist ⇒ Correct

Ophthalmologist specialize in the eye.

Hence, "Option 2" is the correct answer

The logic followed here is: 

Logic: Number of letters - 1

'CONFUSED' is coded as '7'

Number of letters in 'CONFUSED' → 8 - 1 = 7

And,

'CHAIN' is coded as '4'

Number of letters in 'CHAIN' → 5 - 1 = 4

Similarly,

'ADULTHOOD' is coded as

Number of letters in 'ADULTHOOD' → 9 - 1 = 8

Hence, "Option 3" is the correct answer.

The logic followed here is:

Option 1) 151 : 19

19 × 8  - 1 = 151

152 - 1 = 151

151 = 151 (LHS = RHS)

Option 2) 128 : 16

16 × 8  - 1 = 128

128 - 1 = 128

127 ≠ 128 (LHS ≠ RHS)

Option 3) 135 : 17

17 × 8  - 1 = 135

136 - 1 = 135

135 = 135 (LHS = RHS)

Option 4) 103 : 13

13 × 8  - 1 = 103

104 - 1 = 103

103 = 103 (LHS = RHS)

Thus, out of all the options, '128 : 16' is the odd one out.

Hence, "Option 2" is the correct answer.

The logic followed here is:

1. New elements are added clockwise subsequently.

Thus, the final series is:

Hence, "Option 1" is the correct answer.

Given series: q p _ r _ r q _ p _ r p _ q _ p r _ p _ q

Option 1: r p q r r p r q

Filling in the blanks:

q p r r p r q r p q r p r q p r r p r q

This does not follow a consistent pattern. ❌

Option 2: r p q r r q r r

Filling in the blanks:

q p r r p r q q p r r p r q q p r r p r q

This follows a consistent pattern and matches. ✅

Option 3: r p q q r q r p

Filling in the blanks:

q p r r p q q r p q r p r q r p r p r q

This does not create a clear pattern. ❌

Option 4: r p q r r q r p

Filling in the blanks:

q p r r p q r q r p q r p r q r p r p r q

This does not follow a consistent pattern. ❌

Hence, "Option 2" is the correct answer.

The logic followed here is:

16 is related to 112

16 × 7 = 112

112 = 112 (LHS = RHS)

And,

26 is related to 182

26 × 7 = 182

182 = 182 (LHS = RHS)

Similarly,

44 is related to ?

44 × 7 = ?

308 = ?

Hence, "Option 1" is the correct answer.

The logic followed here is:

'Summer' is related to 'Season'

Summer is a type of season.

Similarly,

 'Cotton' is related to '_______'

Cotton is a type of material used to make cloth.

Hence, "Option 1" is the correct answer.

Additional InformationGrain → Cotton is not a type of grain; grains are typically cereals or seeds used as food (like wheat or rice), whereas cotton is a fiber.

Dye → While cotton can be dyed, it is not a type of dye itself. Dye refers to a coloring substance, not the raw material used for cloth.

Tree → Cotton comes from a plant, but it’s not a tree; it grows on a shrub or small plant.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some bottles are bins → Follow (As some bottles are flasks and all flasks are bins. As bottles has some part common with flasks which whole comes in bins, therefore it is true.)

II. Some jugs are bins → Follow (As all bottles are jugs, some bottles are flasks and all flasks are bins. As whole bottles comes in jugs and has some part common with flasks which whole comes in bins, therefore it is true.)

III. Some flasks are jugs → Follow (As all bottles are jugs and some bottles are flasks. As whole bottles comes in jugs and has some part common with flasks, therefore it is true.)

∴ Here, All conclusions I, II and III follow.

Hence, "Option 1" is the correct answer.

Decoding symbols:

Given: P + Q ÷ R − T × M

P + Q → P is the son of Q.

Q ÷ R → Q is the mother of R.

R − T → R is the wife of T.

T × M → T is the brother of M.

Thus, according to the family tree:

Option 1) M is the sister of T. → Incorrect as M can be either sister or brother of T.

Option 2) P is the brother of R. → Correct 

Option 3) Q is the mother of M. → Incorrect as Q is the mother-in-law of M's brother

Option 4) T is the brother of P. → Incorrect as T is the brother-in-law of P.

Hence, the correct answer is "Option 2"

The image embedded in the given figure is as shown below :

∴ Here, the given figure is embedded in Figure - 2.

Hence, the correct answer is "Option 1".

The logic followed here is:

1. First box series:

Right corner diagonal elements interchange positions.

The rest of the elements shift anticlockwise.

2. Second box series:

Third column element shift clockwise.

The rest of the elements shift clockwise.

Thus, the final series is:

Hence, "Option 4" is the correct answer.

The figure which will look like the paper when unfolded is shown below:

Thus, option Figure 3 will look like the paper when unfolded.

Hence, "Option 3" is the correct answer.

The number of triangles in the given figure is shown below:

Thus, as marked there are a total of 11 triangles.

Hence, "Option 1" is the correct answer.

The logic followed here is:

RATE : SCWI

And,

HIGH : IKJL

Similarly,

OPEN : ?

Hence, "Option 4" is the correct answer.

The logic followed here is:

Hence, "Option 1" is the correct answer.

The logic followed here is:

8 is related to 512

8³ = 512

512 = 512 (LHS = RHS)

And,

12 is related to 1728

123 = 1728

1728 = 1728 (LHS = RHS)

Similarly,

15 is related to ?

153 = ?

3375 = ?

Hence, "Option 3" is the correct answer.

The logic followed here is:

Hence, "Option 3" is the correct answer.

The logic followed here is:

Acrimony : Humanity

Acrimony is antonym of humanity.

Similarly,

Wield : ?

Wield is antonym of forgo.

Hence, "Option 2" is the correct answer.

Additional Information Acrimony → Means anger and bitterness

Humanity → Means kindness and compassion

Wield → Means to handle or use something, often with control or influence

Forgo → Means to decide not to have or do something that you want

Exert → Means to put forth effort or to put something to use. Synonym of wield.

Use → Means to avail oneself of something as a means or instrument to an end. Synonym of wield.

Apply → Means to put something to practical use. Synonym of wield.

The logic followed here is:

Logic: Positional value of consonants and double of the positional value of vowels.

​'DEMAND' is written as ‘410132144'

And,

'SUPPLY' is written as '194216161225'

 

Similarly,

'PRODUCT' is written as

Hence, "Option 1" is the correct answer.