Given: Nine persons namely P, Q, R, S, T, U, V, W and X

Born in the same month of different year i.e. 1970, 1976, 1985, 1989, 1995, 2000, 2009, 2015 and 2019.

Having base year 2024

1) V was born in an even number year, but not born in the year, which is divisible by 4. Q is 48 years old now.

2) There is a difference of six years between S and T, who is younger than S.

As the age of Q is 48 years which is clearly given in the question, CASE 2 cannot be possible. Thus, it gets eliminated.

3) The age of R is a multiple of 13. U, who is born in an even numbered year is not the eldest among all.

4) The difference between the ages of W and X is the square of the smallest even number. W is not the youngest person among all.

U is born in an even numbered and he is not the eldest among all, thus CASE 2(a) also cannot be the possible case and gets eliminated. The difference between the ages of W and X is 4 which is the square of smallest even number.

5) P was not born in even numbered year neither he is of the age of any prime number.

As P is not born in any even numbered year neither he is of prime number age, thus CASE 3 also gets eliminated. And we have the final arrangement in CASE 1

Hence, the correct answer is "Three".

Given: Nine persons namely P, Q, R, S, T, U, V, W and X

Born in the same month of different year i.e. 1970, 1976, 1985, 1989, 1995, 2000, 2009, 2015 and 2019.

Having base year 2024

1) V was born in an even number year, but not born in the year, which is divisible by 4. Q is 48 years old now.

2) There is a difference of six years between S and T, who is younger than S.

As the age of Q is 48 years which is clearly given in the question, CASE 2 cannot be possible. Thus, it gets eliminated.

3) The age of R is a multiple of 13. U, who is born in an even numbered year is not the eldest among all.

4) The difference between the ages of W and X is the square of the smallest even number. W is not the youngest person among all.

U is born in an even numbered and he is not the eldest among all, thus CASE 2(a) also cannot be the possible case and gets eliminated. The difference between the ages of W and X is 4 which is the square of smallest even number.

5) P was not born in an odd numbered year neither he is of the age of any prime number.

As P is not born in any odd numbered year neither he is of prime number age, thus CASE 3 also gets eliminated. And we have the final arrangement in CASE 1

Hence, the correct answer is "Two".

Given: Nine persons namely P, Q, R, S, T, U, V, W and X

Born in the same month of different year i.e. 1970, 1976, 1985, 1989, 1995, 2000, 2009, 2015 and 2019.

Having base year 2024

1) V was born in an even number year, but not born in the year, which is divisible by 4. Q is 48 years old now.

2) There is a difference of six years between S and T, who is younger than S.

As the age of Q is 48 years which is clearly given in the question, CASE 2 cannot be possible. Thus, it gets eliminated.

3) The age of R is a multiple of 13. U, who is born in an even numbered year is not the eldest among all.

4) The difference between the ages of W and X is the square of the smallest even number. W is not the youngest person among all.

U is born in an even numbered and he is not the eldest among all, thus CASE 2(a) also cannot be the possible case and gets eliminated. The difference between the ages of W and X is 4 which is the square of smallest even number.

5) P was not born in even numbered year neither he is of the age of any prime number.

As P is not born in any even numbered year neither he is of prime number age, thus CASE 3 also gets eliminated. And we have the final arrangement in CASE 1

From the above arrangement all the other pairs apart from VQ are born in a odd number years.

Hence, the correct answer is "VQ".

Given: Nine persons namely P, Q, R, S, T, U, V, W and X

Born in the same month of different year i.e. 1970, 1976, 1985, 1989, 1995, 2000, 2009, 2015 and 2019.

Having base year 2024

1) V was born in an even number year, but not born in the year, which is divisible by 4. Q is 48 years old now.

2) There is a difference of six years between S and T, who is younger than S.

As the age of Q is 48 years which is clearly given in the question, CASE 2 cannot be possible. Thus, it gets eliminated.

3) The age of R is a multiple of 13. U, who is born in an even numbered year is not the eldest among all.

4) The difference between the ages of W and X is the square of the smallest even number. W is not the youngest person among all.

U is born in an even numbered and he is not the eldest among all, thus CASE 2(a) also cannot be the possible case and gets eliminated. The difference between the ages of W and X is 4 which is the square of smallest even number.

5) P was not born in even numbered year neither he is of the age of any prime number.

As P is not born in any even numbered year neither he is of prime number age, thus CASE 3 also gets eliminated. And we have the final arrangement in CASE 1

Hence, the correct answer is "S".

Given: Nine persons namely P, Q, R, S, T, U, V, W and X

Born in the same month of different year i.e. 1970, 1976, 1985, 1989, 1995, 2000, 2009, 2015 and 2019.

Having base year 2024

1) V was born in an even number year, but not born in the year, which is divisible by 4. Q is 48 years old now.

2) There is a difference of six years between S and T, who is younger than S.

As the age of Q is 48 years which is clearly given in the question, CASE 2 cannot be possible. Thus, it gets eliminated.

3) The age of R is a multiple of 13. U, who is born in an even numbered year is not the eldest among all.

4) The difference between the ages of W and X is the square of the smallest even number. W is not the youngest person among all.

U is born in an even numbered and he is not the eldest among all, thus CASE 2(a) also cannot be the possible case and gets eliminated. The difference between the ages of W and X is 4 which is the square of smallest even number.

5) P was not born in even numbered year neither he is of the age of any prime number.

As P is not born in any even numbered year neither he is of prime number age, thus CASE 3 also gets eliminated. And we have the final arrangement in CASE 1

Hence, the correct answer is "VX".

Given statements: A > Y ≥ O > Z; O > U < S

On combining: A > Y ≥ O > U < S, Z < O > U < S

Conclusions:

I. U ≥ A → False (as A > Y ≥ O > U, so U is smaller than A.)

II. U < A → True (as A > Y ≥ O > U, so it is definite that A is greater than U.)

U is not greater than or equal to A so the first conclusion doesn't follow. A is greater than U so the second conclusion follows.

Hence, the correct answer is Only II follows.

Statement:

C < R < I ≤ S ≤ E ≤ A = N > O < G < Y > B ≥ D

Conclusions:

I. C < G → False (C < R < I ≤ S ≤ E ≤ A = N > O < G → No definite relation between the two can be determined)

II. R < O → False (R < I ≤ S ≤ E ≤ A = N > O → No definite relation between the two can be determined)

III. I > O → False (I ≤ S ≤ E ≤ A = N > O → No definite relation between the two can be determined)

Hence, None is true.

Statements:  P ≥ Q < R = S; Q < T = U

On Combining: P ≥ Q < R = S; P ≥ Q < T = U; S = R > Q < T = U

Conclusion:

I. P ≥ U → FALSE (As P ≥ Q < T = U, so there is no direct relation between P & U).

II. T < S → FALSE (As S = R > Q < T = U, so there is no direct relation between S & T).

Hence, Neither I nor II Follows.

Given Statement:

M ≥ K > A = Q; C > D < A > S > E > B = H

On combining: 

M ≥ K > Q = A > S > E > B = H

Or

M ≥ K > Q = A > D < C

Conclusion:

I. Q ≥ H: False : (As M ≥ K > A = Q > S > E > B = H. Therefore, H is less than Q is true.)

II. H < Q: True : (As M ≥ K > A = Q > S > E > B = H. Therefore, H is less than Q is true.)

Hence, only conclusion II is true.

Given: An uncertain number of persons are sitting in a row facing the North.

From the given conditions, we get the following possibilities-

1. G sits sixth from one of the extreme ends of the row. Only two persons sit between G and S, who sits third from the left end of the row. From these two conditions, we get-

2. F, who sits to the immediate right of G, is seated second to the left of P. From this we get-

3. Only one person sits between P and T. R, who sits third to the right of T is an immediate neighbour of W. From these conditions, we get-

4. W doesn’t sit to the right of R. Only five people sit to the right of W. V sits sixth to the right of T. From these conditions, we get the final arrangement as follows:

From the above final arrangement, we see that a total of 18 persons are sitting.

Hence,  total of 18 persons are sitting in the row.