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**Directions :** Read the information carefully and answer the following questions:

If A + B means A is the father of B.

If A Ă— B means A is the sister of B.

If A $ B means A is the wife of B.

If A % B means A is the mother of B.

If A Ă· B means A is the son of B.

**Question 1:Â **What should come in place of question mark to establish that J is brother of T in the expression ?

J Ă· P % H ? T % L

a) Ă—

b) Ă·

c) $

d) Either Ă· or Ă—

e) Either + or Ă·

**Question 2:Â **Which of the given expressions indicates that M is daughter of D?

a) L % R $ D + T Ă— M

b) L + R $ D + M Ă— T

c) L % R % D + T Ă· M

d) D + L $ R + M Ă— T

e) L $ D Ă· R % M Ă· T

**Question 3:**Â Which of the following options is true if the expression ‘I + T % J Ă— L Ă· K’ is definitely true?

a) L is daughter of T

b) K is son-in-law of I

c) I is grandmother of L

d) T is father of J

e) J is brother of L

**Question 4:**Â Which of the following expressions is true if Y is son of X is definitely false?

a) W % L Ă— T Ă— Y Ă· X

b) W + L Ă— T Ă— Y Ă· X

c) X + L Ă— T Ă— Y Ă· W

d) W $ X + L + Y + T

e) W % X + T Ă— Y Ă· L

**Question 5:**Â What should come in place of question mark to establish that T is sister-in-law of Q in the expression. R % T Ă— P ? Q + V

a) Ă·

b) %

c) Ă—

d) $

e) Either $ or Ă—

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**Instructions:**Â Read the following information carefully and answer the questions which follow-

If ‘p$ \bigstar$ Q’ means ‘p is the mother of Q’

If ‘p$ \times$ Q’ means ‘p is the father of Q’

If ‘p+ Q ‘P is the sister of Q’

If ‘p-Q’ means ‘p is the brother of Q’

If ‘P$\geq$Q’ means ‘p is the son of Q’

If ‘p$\leq$Q’ means ‘p is the daughter of Q’

**Question 6:**Â In the expression ‘A $\times$ B + R $\geq$ S’ how is s related to A ?

a) Daughter-in-law

b) Daughter

c) Wife

d) Sister

e) Cannot be determined

**Question 7:**Â In the expression ‘W $\geq$ X $\leq$ Y $\bigstar$ Z’ how is W related to Z ?

a) Nephew

b) Uncle

c) Son

d) Brother-in-law

e) None of these

**Question 8:Â **Which of the following means p is the father of S ?

a)Â p$\times$ Q $\leq$ R $\bigstar$ S

b)Â R$\times$ P $\leq$ Q-S

c)Â R+ S$\geq$ Q + P

d)Â S+Q-R $\bigstar$ P

**Question 9:**Â Which of the following means D is the aunt of C ?

a)Â D$\geq$ B $\bigstar$ A $\bigstar$ C

b)Â D+BÂ¬-C$\bigstar$A

c)Â D-B-A$\times$C

d)Â D+B$\times$A$\times$C

e)Â None of these

**Instructions:** Read the following information carefully and answer the questions which follow-

If ‘A $\bigstar$Z’ means ‘A is the wife of Z’

If ‘A $\times$Z’ means ‘A is the husband of Z’

If ‘A+Z’ means ‘A is the sister of Z’

If ‘AÂ¬Z’ means ‘A is the brother of Z’

If ‘A$\geq$Z’ is the son of Z’

If ‘A$\leq$Z’ is the daughter of Z’

**Question 10:Â **Which of the following relations will not be true if the expression $’A\leq P \times T + F \geq L \times M’$

a) A is the daughter of T

b) F is the son of M

c) P is the sonÂ¬inÂ¬law of L

d) A is the cousin of F

e) M is the grandmother of A

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**Question 11:**Â Which of the following means N is the daughter-in-law of A ?

a)Â $ M + N \bigstar P \geq A$

b)Â $ N \leq M \times P+A$

c)Â $ M \leq N \times P \leq A$

d)Â $ A \times P + N \times M$

e)Â $A \leq N \leq \bigstar M $

**Question 12:**Â How is p related to F if ‘ $Q \times P\leq B + F $ ?

a) Daughter

b) Niece

c) DaughterÂ¬inÂ¬law

d) Grand daughter

e) Aunt

**Question 13:Â **Which of the following means P is the father of R ?

a)Â $R \geq S \leq P \bigstar J$

b)Â $J+R$ Â¬ $S\leq P$

c)Â $R \geq S \bigstar P$ Â¬ $J$

d)Â $S+J \times R \leq P$

e)Â None of these

**Question 14:Â **How is M related to B if A $ \bigstar B\geq Z \times S + M ‘ ? $

a) Aunt

b) Grandfather

c) Uncle

d) Cousin

e) Cannot be determined

**Instructions:** Read the information carefully and answer the following questions:

If A + B means A is the father of B

If A x B means A is the sister of B

If A $ B means A is the wife of B

If A % B means A is the mother of B

If AÂ $Ă·$Â B means A is the son of B

**Question 15:**Â What should come in place of the question mark, to establish that J is the brother of T in the expression?

JÂ $Ă·$Â P % H ? T % L

a) x

b)Â $\div$

c)Â $

d)Â Either $\div$ or x

e)Â Either + or $\div$

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**Answers & Solutions:**

**1) Answer (A)**

J Ă· P % H ? T % L

=> T is the mother of L and J is the brother of H

Now, for J to be brother of T, H must be either sister or brother of T.

=> ‘x’ is the correct symbol here.

**2) Answer (B)**

In option B, D + M is given, which implies that D is the father of M.

Now, if M is a girl, then it can be established that M is the daughter of M.

M x T => M is a sister of T => M is a girl

Hence option B is correct.

**3) Answer (B)**

I + T % J Ă— L Ă· K

L Ă· K => L is the son of K

J Ă— L Ă· K => J is the daughter of K

T % J Ă— L Ă· K => T is the wife of K

I + T % J Ă— L Ă· K => I is the father-in-law of K

Hence B is the correct answer

**4) Answer (D)**

Given that Y is not a son of X.

In option A and B, Y Ă· X is given, which is wrong. Hence A and B are eliminated.

In option C, X + L x T x Y is given => X is father of Y, which is wrong. Hence C is eliminated.

Similarly E can also be eliminated.

Hence, D is the answer

**5) Answer (D)**

T Ă— P ? Q

Here, T is the sister of P. So for T to be sister-in-law of Q, P must be Q’s wife. Hence the correct symbol is ‘$’.

**6) Answer (C)**

In, order to tackle this question, we intrepret the equation in reverse manner.

Now, $R \geq$ S means S is father of R.

B+R means R is sister of B which means S is also father of B.

Now, AxB means B is son of A, but then B is also son of A.

Hence, A is wife of S.

Hence, option is C.

**7) Answer (A)**

W $\geq$ X means W is son of X.

X $\leq$ Y means X is daughter of Y.

Y $\bigstar$ Z means Y is mother of Z which means X and Z are siblings. Also, W is son of X which means Z is uncle/aunt of W and W is nephew of Z.

Hence, correct option is A.

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**8) Answer (A)**

p$\times$ Q $\leq$ R $\bigstar$ S

Now, R $\bigstar$ S means S is son/daughter of R.

Q $\leq$ R means R is father or mother of Q. hence, S and Q are siblings.

p$\times$ Q means Q is son\daughter of P. S is son/daughter of P as S and Q are siblings. Hence S is parent to P.

Hence, the correct option is A.

**9) Answer (E)**

None of the options establish a relation of C being nephew of D or D being aunt of C.

Hence, none of the option is correct.

The correct option in this case is E.

**10) Answer (D)**

the expression $’A\leq P \times T + F \geq L \times M’$ is intrepreted as A is daughter of P, P is husband of T, T is sister of F. Hence, T is mother of A and A is niece of T.

Therefore, correct option is D.

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**11) Answer (A)**

$ M + N \bigstar P \geq A$, M is sister of N, N is wife of P, P is son of A. Hence, A is mother of P and N is daughter in law of A.

Hence, the correct option is A.

**12) Answer (B)**

$Q \times P\leq B + F $ can be intrepreted as:

Q is husband of P, P is daughter of B, B is sister of F. Hence, F is uncle/aunt of P or P is niece of F.

B is the correct option.

**13) Answer (C)**

$ R\geq S \bigstar P$ Â¬ $J$ can be interpreted as:

R is son of S. S is wife of P, hence, R is son of P i.e P is father of R.

Hence, the correct option is C.

**14) Answer (E)**

Here, if we try to intrepret the relation: A $ \bigstar B\geq Z \times S + M

B is son of Z. Z is wife of S. S is sister of M. However, anomaly is that if Z is wife of S then S is husband and male member. However it is also mentioned that

S is sister. Hence, S is assumed to be female member which is in contradiction to previous designation.

Therefore, we cannot determine the relation between B and M.

**15) Answer (A)**

In the expression, J Ă·Ă· P % H ? T % L

J is son of P and P is mother of H, => J is brother of H

Now, for J to be brother of T, T must be a sibling of H.

The only option available is ‘x’

After that , H is sister of T, and hence J is brother of T

Ans – (A)