Reasoning PYQs

Given equation: (280 + 10 × 20) − 8 ÷ 6 = ? 

Now, if +’ means ‘÷’, ‘× ’ means ‘+’, ‘-’ means ‘x’ and ‘÷’ means ‘-’:

⇒  (280 ÷ 10 + 20) × 8 - 6 = ? 

⇒  (28 + 20) × 8 - 6 = ? 

⇒  48 × 8 - 6 = ? 

⇒ 384 - 6 = ?

⇒ 378 = ?

Therefore, ? = 378.

Hence, the correct answer is "Option 2".

Logic:

First no. = [(x)² -1]

Second no. = [(x + 1)2 -1]

35 is related to 48 →

​⇒ [(6)² - 1] = 35

​⇒ [(6 + 1)² - 1] = 48

15 is related to 24 →

​⇒ [(4)2 - 1] = 15

​⇒ [(4 + 1)2 - 1] = 24

Similarly, '143' will be related to:

80 is related to 99 →

​⇒ [(9)2 - 1] = 80

​⇒ [(9 + 1)2 - 1] = 99

Hence, the correct answer is "Option (1)".

Statements:

Some teas are coffees.

All coffees are waters.

All teas are colas.

The possible venn diagram is given:

Conclusions:

I. Some colas are waters - True(because, Some teas are coffees and All coffees are waters and All teas are colas, it implies that Some colas are waters).

II. Some coffees are colas - True(because, Some teas are coffees and All coffees are waters and All teas are colas, it implies that Some coffees are cola).

III. Some waters are teas - True(because, Some teas are coffees and All coffees are waters and All teas are colas, it implies that Some waters are teas).

Thus, All the conclusions follow.

Hence, the correct answer is "Option 4".

The correct Dictionary order is:

5. Immature
6. Immediate
7. Immense
8. Immerse
9. Immigrate

So, the correct order are: '5, 2, 4, 3, 1'.

Hence, the correct answer is "Option 1".

Given: Among seven people F, G, H, K, L, M and N, each has a different age.

1. Only H is older than K.

H, >, K, >  _,>  _, >  _, > _, > _.

The second oldest is 38 years old.

H, >,K (38) , >  _,>  _, >  _, > _, > _.

Only three people are younger than L.

H, >, K (38), > _. >,  L,>  _, >  _, > _.

M is older than only N.

H, >, K(38), > _. >  L,>  _, >  M, > N.

M's age is half of K's age. F is 36 years old.

H, >, K(38), > F(36) >  L, > G, >  M(18), > N.

 L's age is a multiple of 10. 

Thus, the sum of the ages of K and L can be = K(38) + 30 = 68.

Hence, the correct answer is "Option 1".

Give: 104 ÷  8 - 15 + 4 × 26 = 21

Let's check options one by one.

Option 1) 8 and 26

⇒ 104 ÷  26 - 15 + 4 × 8 = 21

⇒ 4 - 15 + 32 = 21

⇒ 36 - 15 = 21

Option 2) 15 and 4

⇒ 104 ÷  8 - 4 + 15 × 26 = 21

⇒ 13 - 4 + 390 = 21 

⇒ 403 - 4 = 399 ≠ 21

Option 3) 8 and 15

⇒ 104 ÷  15 - 8 + 4 × 26 = 21

⇒ 6.9 - 8 + 104 = 21

⇒ 110.9 - 8 = 102.9 ≠ 21

Option 4) 15 and 26

⇒ 104 ÷ 8 - 26 + 4 × 15 = 21

⇒ 13 - 26 + 60 = 21

⇒ 73 - 26 = 47 ≠ 21.

Hence, the correct answer is "Option 1".

The logic follows here:

Multiplication of digits of 1^st number = 2^nd number.

Given:

325 is related to 30

⇒ 3 × 2 × 5 = 30 = 2^nd number

And

424 is related to 32

⇒ 4 × 2 × 4 = 32 = 2^nd number

Similarity, In option (3):

⇒ 1× 8 × 2 = 16 = 2^nd number

Hence, the correct answer is "Option (3)".

The number of Triangles are:

 

Thus, the number of Triangle in the given figure is: "13".

Hence, the correct answer is "Option 2".

The logic followed here is:

Hence, the correct answer is "Option 1".

Given: {(78 + 70) − (6 × 2)} ÷ 2 = 10

Let's check option one by one.

Option 1) + and -

⇒  {(78 - 70) + (6 × 2)} ÷ 2 = 10

​⇒  (8 + 12) ÷ 2 = 10

​⇒ 20 ÷ 2 = 10

Option 2) × and +

​⇒ {(78 ×  70) − (6 + 2)} ÷ 2 = 10

​⇒  {5460 − 8} ÷ 2 = 10

​⇒ 5452 ÷ 2 = 2726 ≠ 10​

Option 3) × and -

⇒ {(78 + 70) × (6 - 2)} ÷ 2 = 10

⇒ {148× 4} ÷ 2 = 10

⇒ 592 ÷ 2 =296 ≠ 10

Option 4) ÷  and +

⇒ {(78 ÷ 70) ×  (6 + 2)} + 2 = 10

⇒ {1.12 × 8} + 2 = 10

⇒ 8.96 + 2 = 10.96 ≠ 10.

Hence, the correct answer is "Option 1".

The logic followed here is:

Hence, "Option 2" is the correct answer.

The logic followed here is:

BOIL : DRMQ

And,

SCAR : UFEW

Similarly,

MAIL : ?

Hence, "Option 1" is the correct answer.

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

Conclusions:

(I) No phone is a device → Does not follow (As some devices are electronics, all electronics are mobiles and no mobile is a phone. So it is possible but not definite)

(II) At least some electronics are phones → Does not follow (As all electronics are mobiles and no mobile is a phone. As whole electronics comes in mobiles which cannot be phone, therefore it is false)

∴ Here, Neither conclusion (I) nor (II) follows.​

Hence, the correct answer is "Option 4".

The logic followed here is:

Given:

251 – 332 – 422 

2 + 5 + 1 = 8

3 + 3 + 2 = 8

4 + 2 + 2 = 8

So, checking each option one by one:

Option 1) 144 – 225 – 729 

1 + 4 + 4 = 9 ≠ 8

2 + 2 + 5 = 9 ≠ 8

7 + 2 + 9 = 18 ≠ 8

Option 2) 125 – 223 – 342

1 + 2 + 5 = 8

2 + 2 + 3 = 7 ≠ 8

3 + 4 + 2 = 9 ≠ 8

Option 3) 432 – 523 – 712

4 + 3 + 2 = 9 ≠ 8

5 + 3 + 2 = 10 ≠ 8

7 + 1 + 2 = 10 ≠ 8

220 = 220 (LHS = RHS)

Option 4) 161 – 512 – 710

1 + 6 + 1 = 8

5 + 1 + 2 = 8

7 + 1 + 0 = 8

Thus, out of all the options '161 – 512 – 710' follows the same logic as given.

Hence, "Option 4" is the correct answer.

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

Conclusions:

I. Some cushions are beds → Follow (As all cushions are quilts and all quilts are beds. As whole cushions comes in quilts which whole comes in beds, therefore it is true.)

II. Some pillows are beds → Follow (As all pillows are quilts and all quilts are beds. As whole pillows comes in quilts which whole comes in beds, therefore it is true.)

III. Some cushions are pillows → Does not follow (As all cushions are quilts and all pillows are quilts. So it is possible but not definite)

∴ Here, Only conclusions I and II follow.​

Hence, the correct answer is "Option 3".

Given date: 05 December 2045

So, calculating total number of odd days:

Total odd days till 5 December 2045 = 22 + 33 + 3 ⇒ 58 ÷ 7 = 2

Thus, "2" is the code for 'Tuesday'.

Hence, "Option 3" is the correct answer.

Additional Information

And,

Note:

Multiple of 400 years i.e 800, 1200, 1600, 2000 will also have 0 odds days.

Given: 21 × 8 – 18 + (64 ÷ 2) + 32 = 64 

According to the question, after interchanging the numbers:

Option 1) 32 and 64

21 × 8 – 18 + (64 ÷ 2) + 32 = 64 ⇒ 21 × 8 – 18 + (32 ÷ 2) + 64 = 64

⇒ 21 × 8 – 18 + (32 ÷ 2) + 64 = 64

⇒ 21 × 8 – 18 + 16 + 64 = 64

⇒ 168 + 16 + 64 – 18 = 64

⇒ 248 – 18 = 64

⇒ 230 ≠ 64 (LHS ≠ RHS)

Option  2) 8 and 18

21 × 8 – 18 + (64 ÷ 2) + 32 = 64 ⇒ 21 × 18 – 8 + (64 ÷ 2) + 32 = 64

⇒ 21 × 18 – 8 + (64 ÷ 2) + 32 = 64

⇒ 21 × 18 – 8 + 32 + 32 = 64

⇒ 378 + 32 + 32 – 8 = 64

⇒ 442 – 8 = 64

⇒ 434 ≠ 64 (LHS ≠ RHS)

Option  3) 18 and 32

21 × 8 – 18 + (64 ÷ 2) + 32 = 64 ⇒ 21 × 8 – 32 + (64 ÷ 2) + 18 = 64

⇒ 21 × 8 – 32 + (64 ÷ 2) + 18 = 64

⇒ 21 × 8 – 32 + 32 + 18 = 64

⇒ 168 + 32 + 18 – 32 = 64

⇒ 218 – 32 = 64

⇒ 186 ≠ 64 (LHS ≠ RHS)

Option  4) 8 and 2

21 × 8 – 18 + (64 ÷ 2) + 32 = 64 ⇒ 21 × 2 – 18 + (64 ÷ 8) + 32 = 64

⇒ 21 × 2 – 18 + (64 ÷ 8) + 32 = 64

⇒ 21 × 2 – 18 + 8 + 32 = 64

⇒ 42 + 8 + 32 – 18 = 64

⇒ 82 – 18 = 64

⇒ 64 = 64 (LHS = RHS)

Hence, "Option 4" is the correct answer.

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

Thus, option Figure 1 will look like the paper when unfolded.

Hence, "Option 1" is the correct answer.

Given: 9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13  

According to the question, after numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged:

Option 1) 3 and 8; + and -

9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13 ⇒ 9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 - 2 × 33 + 13

⇒ 9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 - 2 × 33 + 13

⇒ 9 × 0.33 + 8 – 7 = 4 - 2 × 33 + 13

⇒ 3 + 8 – 7 = 4 + 13 - 66

⇒ 11 – 7 = 17 - 66

⇒ 4 ≠ -49 (LHS ≠ RHS)

Option  2) 1 and 9; ÷ and ×

9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13 ⇒ 1 × 9 ÷ 3 + 8 – 7 = 12 × 3 + 2 ÷ 33 – 13

⇒ 1 × 9 ÷ 3 + 8 – 7 = 12 × 3 + 2 ÷ 33 – 13

⇒ 1 × 3 + 8 – 7 = 12 × 3 + 0.06 – 13

⇒ 3 + 8 – 7 = 36 + 0.06 – 13

⇒ 11 – 7 = 36.06 – 13

⇒ 4 ≠ 13.06 (LHS ≠ RHS)

Option  3) 3 and 7; + and ÷

9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13 ⇒ 9 × 1 ÷ 7 + 8 – 3 = 12 + 3 ÷ 2 × 33 – 13

⇒ 9 × 1 ÷ 7 + 8 – 3 = 12 + 3 ÷ 2 × 33 – 13

⇒ 9 × 0.14 + 8 – 3 = 12 + 1.5 × 33 – 13

⇒ 1.26 + 8 – 3 = 12 + 49.5 – 13

⇒ 9.26 – 3 = 61.5 – 13

⇒ 6.26 ≠ 48.5 (LHS ≠ RHS)

Option  4) 1 and 3; + and ×

9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13 ⇒ 9 × 3 ÷ 1 + 8 – 7 = 12 ÷ 3 × 2 + 33 – 13

⇒ 9 × 3 ÷ 1 + 8 – 7 = 12 ÷ 3 × 2 + 33 – 13

⇒ 9 × 3 + 8 – 7 = 4 × 2 + 33 – 13

⇒ 27 + 8 – 7 = 8 + 33 – 13

⇒ 35 – 7 = 41 – 13

⇒ 28 = 28 (LHS = RHS)

Hence, "Option 4" is the correct answer.

The logic followed here is:

'CAT' is coded as 9

(Number of letter in the word 'CAT')² → (3)² ⇒ 9

And,

'MOUSE' is coded as 25

(Number of letter in the word 'MOUSE')2 → (5)2 ⇒ 25

Similarly,

'TROUBLE' be coded

(Number of letter in the word 'TROUBLE')2 → (7)2 ⇒ 49

Hence, "Option 2" is the correct answer.