1. P's birthday is in January.

2. There are the same number of person having their birthday before and after R. ‘

3. Only one person's birthday is there between S and R.

4. Q's birthday is in the month having 31 days but not in August.

5. There are two person's birthday between Q and V.  

6. T's birthday is before U's birthday

 

7. Q's birthday is not before R.  (This eliminates case 2)

Hence, U has his birthday at last.

As per the given information,

1. Point A is 8m south of point F.

2. Point B is 5m east of point H,

3. H is 4m north of point E.

4. Point G is 15m west of point D,

5. D is 9m south of point B.

6. Point C is 7m south of point G.

7. Point A is 5m west of point E.

Therefore the final arrangement is, 

 Hence, South West is the direction of Point C with respect to Point F

As per the given information,

1. Point A is 8m south of point F.

2. Point B is 5m east of point H,

3. H is 4m north of point E.

4. Point G is 15m west of point D,

5. D is 9m south of point B.

6. Point C is 7m south of point G.

7. Point A is 5m west of point E.

Therefore the final arrangement is, 

 the total distance between  F and B is

= 8 + 5 + 4 + 5

= 22 m

 Hence, 22m is the total distance between  F and B.

As per the given information,

1. Point A is 8m south of point F.

2. Point B is 5m east of point H,

3. H is 4m north of point E.

4. Point G is 15m west of point D,

5. D is 9m south of point B.

6. Point C is 7m south of point G.

7. Point A is 5m west of point E.

Therefore the final arrangement is, 

As per the question, 

Hence, 5m is the distance between Pont Y and Point H.

Statement:

J ≤ K < T = A ≥ W = C

i) W = T ⇒ False (as T = A ≥ W ⇒ T ≥ W thus the relation between W and T cannot be established)

ii) T > W ⇒ False (as T = A ≥ W ⇒ T ≥ W thus the relation between W and T cannot be established) 

So, T ≥ W means either T > W or T = W

Hence, either I or II is true.

Statement:

C = B < F ≤ H > R = D ≥ K

i) F > D ⇒ False (as F ≤ H > R = D, thus relation between F and H cannot be determined)

ii) R > B ⇒ False (as B < F ≤ H > R, thus relation between R and B cannot be determined)

Hence, neither I nor II is true.

Statement:

E > T ≥ F > Z = V < I ≤ R

i) V < T ⇒ True (as T ≥ F > Z = V ⇒ T > V or V < T)

ii) R > Z ⇒ True (as Z = V < I ≤ R ⇒ Z < R or R > Z) 

Hence, both I and II are true.

The least possible Venn diagram for the given statements is as follows,

Conclusion:

I. All teacher are employee → False (it is possible but not definite)

II. Some employee are boss → True (as all boss are employee)

Hence, only conclusion II follows.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. All Dentists are Teachers → False (as All the teacher is Dentist, Some part of Dentist not Teacher. So, it is false) 

II. All teachers are Dentists  → True (All Teacher is Professor and All Professor are Dentist 

hence all teachers are dentists ) 

 Hence, only II follows.

The least possible Venn diagram for the given statements is as follows

Conclusions:

I. Some Houses are Room → True (As we can see, all Rooms are House. So, some Houses are Room is true.)

II. No Room is Flat → True (As we can see, all Rooms are House and no House is Flat. So, no Room is Flat is true.)

Hence, both I and II follow.

Given series is: (Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

Arrangement required: Consonant → Number

(Left)   H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T       (Right)

Hence, three such pairs are there i.e. L1, W5, K7

Given series is: (Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

19^th element from right end is ‘5’

and 21^st element from the left end is ‘K’.

Given series is: (Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

Clearly, there are 7 elements between  the19^th element from the right and the 21^st element from the left end of the arrangement: !, F, C, V, #, %, N

Hence, seven is the correct answer.

Given series is: (Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

Arrangement required: Letter → Symbol → Letter

Left side: H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T : Right side

Hence, only one such pair is there i.e. M@L.

Given series is: (Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

Left + Right = Left

15^th from the left + 6^th to the right = 21^st from the left

(Left) H M @ L 1 9 A 3 X & 8 W 5 ! F C V # % N K 7 2 Z a Q B G € µ T (Right)

Clearly, 21^st from the left is ‘K’.

Hence, K is the correct answer.

Given series: 821 497 133 986 577

On interchanging first and last digit,

821 → 128

497 → 794

133 → 331

986 → 689

577 → 775

Arranging in increasing order: 128 331 689 775 794

Hence, “775” is the second highest number.

Hence, 577 is the correct answer.

Given series: 821 497 133 986 577

Subtracting 1 from second digit and adding 1 to the last digit:

812 488 124 977 568

Hence, “977” is the only number which is not divisible by 4.

Given series: 821 497 133 986 577

In each number three digits arranged in descending order

New series obtained:  821 974 331 986 775

Hence, “775” is second lowest number.

The pattern followed here is :

1. JB

J (10) + B (2) = 12

2. DH

D (4) + H (8) = 12

3. KA

K (11) + A(1) = 12

4. EJ

E (5) + J (10) = 15

Resultant of all options is “12” except “EJ”

Hence, ‘EJ’ is odd among them.

As per the given information,

1. D sits at the corner of the table. G sits second to the right of D. Only two people sit between G and B.

2. C is one of the immediate neighbors of B. H sits second to the left of C.

3. E sits second to the left of F. G is not an immediate neighbor of F. As no proper place of E, Hence case-2 ruled out.

Therefore, the final arrangement will be, 

 

All, except H, are facing outside the center.

H is the odd one out.

As per the given information,

1. D sits at the corner of the table. G sits second to the right of D. Only two people sit between G and B.

2. C is one of the immediate neighbors of B. H sits second to the left of C.

3. E sits second to the left of F. G is not an immediate neighbor of F. As no proper place of E, Hence case-2 ruled out.

Therefore, the final arrangement will be, 

 

A sits in the middle of H and G is the correct answer.