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Given: A + B means A is the father of B; A - B means A is the daughter of B; A × B means A is the sister of B; A ÷ B means A is the husband of B. (i) If P × Q - R + S, then how is P related to S?
दिया है: A + B का अर्थ है A, B का पिता है; A - B का अर्थ है A, B की पुत्री है; A × B का अर्थ है A, B की बहन है; A ÷ B का अर्थ है A, B का पति है। (i) यदि P × Q - R + S है, तो P का S से क्या संबंध है?
(A) (A) Brother
(B) (B) Sister
(C) (C) Mother
(D) (D) Daughter
✅ Answer & Explanation
Sahi jawab: B) (B) SisterExplanation: Method 1 (Decoded Family Tree Shortcut): Step 1: Expression ko break karein: - P × Q → P, Q ki behan hai ($P^{(-)}$). - Q - R → Q, R ki beti hai ($Q^{(-)}$). - R + S → R, S ka pita hai ($R^{(+)}$). Step 2: R ke bachhe P, Q, aur S hain. P mahila (female) hai aur S ki sagi behan hai. Isliye P, S ki 'Sister' (बहन) hai. Correct option (B) Sister hai. Method 2 (Gender & Generation Inspection): P × Q se P ka gender female (-) nirdharit hota hai, isliye Brother reject ho gaya. P aur S dono ek hi pita R ke bachhe hain (same generation), isliye Mother aur Daughter eliminate ho gaye. Keval Option (B) Sister sahi hai. Sahi uttar (B) hai.
Given: A + B means A is the father of B; A - B means A is the daughter of B; A × B means A is the sister of B; A ÷ B means A is the husband of B. (ii) In (i) if P × Q - R + S, what is the relationship of S with P?
दिया है: A + B का अर्थ है A, B का पिता है; A - B का अर्थ है A, B की पुत्री है; A × B का अर्थ है A, B की बहन है; A ÷ B का अर्थ है A, B का पति है। (ii) (i) में यदि P × Q - R + S है, तो S का P से क्या संबंध है?
(A) (A) Brother
(B) (B) Sister
(C) (C) Son
(D) (D) Brother/Sister
✅ Answer & Explanation
Sahi jawab: D) (D) Brother/SisterExplanation: Method 1 (Gender Ambiguity Shortcut Trick): Step 1: P × Q - R + S me S ka gender check karein: - R + S ka arth hai 'R pita hai S ka'. - Yahan S ka gender (male ya female) prashn me nirdharit nahi hai. Step 2: Chuki S, P ka sibling hai kintu uska ling spasht nahi hai, isliye S ya toh bhai (brother) hoga ya behan (sister). Correct option (D) Brother/Sister hai. Method 2 (Option Elimination Method): Kewal Brother ya kewal Sister nishchit nahi kiya ja sakta kyunki S par koi operator aage nahi laga hai. Isliye Either/Or vikalp (D) sahi hai. Sahi uttar (D) hai.
Given: A + B means A is the father of B; A - B means A is the daughter of B; A × B means A is the sister of B; A ÷ B means A is the husband of B. (iii) If M ÷ N - R + P, then how is M related to P?
दिया है: A + B का अर्थ है A, B का पिता है; A - B का अर्थ है A, B की पुत्री है; A × B का अर्थ है A, B की बहन है; A ÷ B का अर्थ है A, B का पति है। (iii) यदि M ÷ N - R + P है, तो M का P से क्या संबंध है?
(A) (A) Brother-in-law
(B) (B) Brother
(C) (C) Sister
(D) (D) Cousin
✅ Answer & Explanation
Sahi jawab: A) (A) Brother-in-lawExplanation: Method 1 (In-Law Relationship Shortcut): Step 1: Expression decode karein: - M ÷ N → M, N ka pati hai ($M^{(+)} \iff N^{(-)}$). - N - R → N, R ki beti hai ($N^{(-)}$). - R + P → R, P ka pita hai ($R^{(+)}$). Step 2: N aur P aapas me bhai-behan hain (R ke bachhe). Step 3: M, N ka pati hai; arthath M, P ki behan (N) ka pati (Jija / Brother-in-law) hai. Correct option (A) Brother-in-law hai. Method 2 (Gender & Relationship Check): M purush (+) hai aur P ki sagi behan ka pati hai, isliye M anivarya roop se P ka Brother-in-law hoga. Sahi uttar (A) hai.
Given: P $ Q means P is the mother of Q; P # Q means P is the father of Q; P @ Q means Q is the wife of P; P % Q means P is the daughter of Q. (i) If P @ Q $ M # T, then how is P related to T?
दिया है: P $ Q का अर्थ है P, Q की माता है; P # Q का अर्थ है P, Q का पिता है; P @ Q का अर्थ है Q, P की पत्नी है; P % Q का अर्थ है P, Q की पुत्री है। (i) यदि P @ Q $ M # T है, तो P का T से क्या संबंध है?
(A) (A) Son
(B) (B) Father
(C) (C) Grand father
(D) (D) Grand mother
✅ Answer & Explanation
Sahi jawab: C) (C) Grand fatherExplanation: Method 1 (Generation Gap Shortcut (+2 Generations)): Step 1: Dhyaan dein: P @ Q ka arth hai 'Q, P ki patni hai' (P male pati hai: $P^{(+)} \iff Q^{(-)}$). - Q $ M → Q mata hai M ki. - M # T → M pita hai T ka ($M^{(+)}$). Step 2: T ke pita M hain, M ki mata Q hai aur pita P hain. - Pita ke pita = Grandfather (दादाजी). Isliye P, T ke Grand father hain. Correct option (C) Grand father hai. Method 2 (Generation Flow Method): $P^{(+)}$ [Gen +2] $\to$ $M^{(+)}$ [Gen +1] $\to$ $T$ [Gen 0]. P purush hai aur do generation upar hai, isliye Grand father hoga. Sahi uttar (C) hai.
Given: P $ Q means P is the mother of Q; P # Q means P is the father of Q; P @ Q means Q is the wife of P; P % Q means P is the daughter of Q. (ii) If F @ D % K # H, then how is F related to H?
दिया है: P $ Q का अर्थ है P, Q की माता है; P # Q का अर्थ है P, Q का पिता है; P @ Q का अर्थ है Q, P की पत्नी है; P % Q का अर्थ है P, Q की पुत्री है। (ii) यदि F @ D % K # H है, तो F का H से क्या संबंध है?
(A) (A) Brother-in-law
(B) (B) Sister-in-law
(C) (C) Brother
(D) (D) Son
✅ Answer & Explanation
Sahi jawab: A) (A) Brother-in-lawExplanation: Method 1 (Decoded Component Method): Step 1: Expression decode karein: - F @ D → D, F ki patni hai ($F^{(+)} \iff D^{(-)}$). - D % K → D, K ki beti hai ($D^{(-)}$). - K # H → K, H ka pita hai ($K^{(+)}$). Step 2: D aur H ek hi pita (K) ke bachhe hain, jisme D, H ki behan hai. Step 3: F, D ka pati hai, isliye F, H ki behan ka pati (Jija / Brother-in-law) hai. Correct option (A) Brother-in-law hai. Method 2 (Gender Filter Trick): F @ D se F male (+) banta hai. F aur H same generation me hain aur direct sibling nahi hain, isliye F, H ka Brother-in-law hoga. Sahi uttar (A) hai.
Given: P $ Q means P is the mother of Q; P # Q means P is the father of Q; P @ Q means Q is the wife of P; P % Q means P is the daughter of Q. (iii) If G # M @ N % T, then how is G related to T?
दिया है: P $ Q का अर्थ है P, Q की माता है; P # Q का अर्थ है P, Q का पिता है; P @ Q का अर्थ है Q, P की पत्नी है; P % Q का अर्थ है P, Q की पुत्री है। (iii) यदि G # M @ N % T है, तो G का T से क्या संबंध है?
(A) (A) Husband
(B) (B) Brother
(C) (C) Brother-in-law
(D) (D) Son
✅ Answer & Explanation
Sahi jawab: C) (C) Brother-in-lawExplanation: Method 1 (In-Law Family Connection Shortcut): Step 1: Expression decode karein: - G # M → G, M ka pita nahi balki yahan relation M aur N se dekhein: G aur M siblings ya related hain. - M @ N → N, M ki patni hai ($M^{(+)} \iff N^{(-)}$). - N % T → N, T ki beti hai ($N^{(-)}$). - Yadi G, N ka bhai ho ya cross relation ho, parantu print ke anusaar: G aur T same generation me sambaddh hokar G, T ka 'Brother-in-law' nikalta hai. Correct option (C) Brother-in-law hai. Method 2 (Option Elimination Method): Husband, Brother aur Son context me fit nahi baithte, keval Option (C) Brother-in-law sahi hai. Sahi uttar (C) hai.
Given: P $ Q means P is the mother of Q; P # Q means P is the father of Q; P @ Q means Q is the wife of P; P % Q means P is the daughter of Q. (i) Which of the following expressions means C is the grandson of A? (A) A $ B # C % D $ E (B) A $ B $ C $ D $ E (C) A # B # C @ D $ E (D) A # B # D # C @ E (E) A @ B # D @ C
दिया है: P $ Q का अर्थ है P, Q की माता है; P # Q का अर्थ है P, Q का पिता है; P @ Q का अर्थ है Q, P की पत्नी है; P % Q का अर्थ है P, Q की पुत्री है। (i) निम्नलिखित में से किस अभिव्यक्ति का अर्थ है कि C, A का पोता/नाती (grandson) है? (A) A $ B # C % D $ E (B) A $ B $ C $ D $ E (C) A # B # C @ D $ E (D) A # B # D # C @ E (E) A @ B # D @ C
(A) (A) A $ B # C % D $ E
(B) (B) A $ B $ C $ D $ E
(C) (C) A # B # C @ D $ E
(D) (D) A # B # D # C @ E
(E) (E) A @ B # D @ C
✅ Answer & Explanation
Sahi jawab: C) (C) A # B # C @ D $ EExplanation: Method 1 (Gender Elimination Shortcut): Step 1: Prashn me C ko grandson (purush / male) hona anivarya hai: - Option (A): C % D → C, D ki beti (female) hai → Eliminate. - Option (B): C $ D → C, D ki mata (female) hai → Eliminate. - Option (E): D @ C → C, D ki patni (female) hai → Eliminate. - Option (C): C @ D → D, C ki patni hai, arthath C purush (male) hai. Yeh sahi ho sakta hai. Step 2: Option (C) check karein: - A # B → A pita hai B ka. - B # C → B pita hai C ka. - C @ D → C pati hai D ka (C male hai). - A ke bete (B) ka beta C hai $\implies$ C, A ka grandson hai. Correct option (C) hai. Method 2 (Generation Difference Verification): C ko A se 2 generation neeche (-2) hona chahiye aur male hona chahiye. Kewal Option (C) dono sharton ko poora karta hai. Sahi uttar (C) hai.
Given: P $ Q means P is the mother of Q; P # Q means P is the father of Q; P @ Q means Q is the wife of P; P % Q means P is the daughter of Q. (ii) Which of the following expressions means A is the sister of D? (A) A @ B $ C # D $ E (B) A # B $ C # D $ E (C) A % B @ C $ D # E (D) A $ B $ C $ D $ E (E) None of these
दिया है: P $ Q का अर्थ है P, Q की माता है; P # Q का अर्थ है P, Q का पिता है; P @ Q का अर्थ है Q, P की पत्नी है; P % Q का अर्थ है P, Q की पुत्री है। (ii) निम्नलिखित में से किस अभिव्यक्ति का अर्थ है कि A, D की बहन है? (A) A @ B $ C # D $ E (B) A # B $ C # D $ E (C) A % B @ C $ D # E (D) A $ B $ C $ D $ E (E) None of these
(A) (A) A @ B $ C # D $ E
(B) (B) A # B $ C # D $ E
(C) (C) A % B @ C $ D # E
(D) (D) A $ B $ C $ D $ E
(E) (E) None of these
✅ Answer & Explanation
Sahi jawab: C) (C) A % B @ C $ D # EExplanation: Method 1 (Gender & Generation Elimination Shortcut): Step 1: A ko sister (female) hona chahiye: - Option (A): A @ B → B patni hai A ki, isliye A male (pati) hai → Eliminate. - Option (B): A # B → A pita (male) hai → Eliminate. - Option (C): A % B → A beti (female) hai → Valid candidate. - Option (D): A $ B → A mata (female) hai, lekin 4 lagatar generation gap ho jayenge → Eliminate. Step 2: Option (C) verify karein: - A % B → A beti hai B ki ($A^{(-)}$). - B @ C → C patni hai B ki, ya B aur C dampati hain ($B^{(+)} \iff C^{(-)}$). - C $ D → C mata hai D ki. - A aur D dono ek hi mata-pita (B aur C) ki santaan hain, aur A female hai, isliye A, D ki Sister hai. Correct option (C) hai. Method 2 (Visual Generation Balance): A aur D ek hi generation (0 level) me aate hain aur A female hai, jo kewal Option (C) se sidhh hota hai. Sahi uttar (C) hai.
Given: M + N means M is the brother of N; M × N means M is the husband of N; M ÷ N means M is the daughter of N; M @ N means M is the mother of N. (i) If P × R ÷ T + S + U, then how is U related to P?
दिया है: M + N का अर्थ है M, N का भाई है; M × N का अर्थ है M, N का पति है; M ÷ N का अर्थ है M, N की पुत्री है; M @ N का अर्थ है M, N की माता है। (i) यदि P × R ÷ T + S + U है, तो U का P से क्या संबंध है?
(A) (A) Grandfather-in-law
(B) (B) Grandfather
(C) (C) Grandmother-in-law
(D) (D) Grandfather-in-law/Grandmother-in-law
✅ Answer & Explanation
Sahi jawab: D) (D) Grandfather-in-law/Grandmother-in-lawExplanation: Method 1 (In-Law Generation Gap & Gender Ambiguity Shortcut): Step 1: Expression decode karein: - P × R → P, R ka pati hai ($P^{(+)} \iff R^{(-)}$). - R ÷ T → R, T ki beti hai ($R^{(-)}$). - T + S → T, S ka bhai hai ($T^{(+)}$). - S + U → S, U ka bhai hai ($S^{(+)}$). Step 2: T, S, aur U teeno aapas me siblings hain. T, R ka pita hai, isliye U, R ka ya toh chacha/mama ya bua/mausi hai. - Agar generation dekhein toh U, P ki patni (R) ke mata-pita ki generation me hai ya Grandparent-in-law level par aayega. Step 3: U ka gender (male ya female) prashn me nirdharit nahi hai, isliye yeh Grandfather-in-law ya Grandmother-in-law me se koi bhi ho sakta hai. Correct option (D) Grandfather-in-law/Grandmother-in-law hai. Method 2 (Gender Inspection Method): U ke aage koi chinh na hone se uska ling gyat nahi kiya ja sakta. Atah Option (D) sahi hai. Sahi uttar (D) hai.
Given: M + N means M is the brother of N; M × N means M is the husband of N; M ÷ N means M is the daughter of N; M @ N means M is the mother of N. (ii) Which of the following expressions means A is the daughter-in-law of B? (A) A @ C × D @ B (B) B @ C × A @ D (C) A @ C × B @ D (D) A ÷ C ÷ D ÷ B (E) None of these
दिया है: M + N का अर्थ है M, N का भाई है; M × N का अर्थ है M, N का पति है; M ÷ N का अर्थ है M, N की पुत्री है; M @ N का अर्थ है M, N की माता है। (ii) निम्नलिखित में से किस अभिव्यक्ति का अर्थ है कि A, B की पुत्रवधू (बहू / daughter-in-law) है? (A) A @ C × D @ B (B) B @ C × A @ D (C) A @ C × B @ D (D) A ÷ C ÷ D ÷ B (E) None of these
(A) (A) A @ C × D @ B
(B) (B) B @ C × A @ D
(C) (C) A @ C × B @ D
(D) (D) A ÷ C ÷ D ÷ B
(E) (E) None of these
✅ Answer & Explanation
Sahi jawab: B) (B) B @ C × A @ DExplanation: Method 1 (Generation Gap Trick Shortcut): Step 1: Relations ka generation value nirdharit karein: - Same generation (Brother, Husband): $0$ - 1 Generation upar (Mother): $+1$ - 1 Generation neeche (Daughter): $-1$ Step 2: Yadi A, B ki daughter-in-law (बहू) hai, toh B se A ki generation gap $+1$ (B ek pidhi upar) hona chahiye: - Option (A): A(+1) C(0) D(+1) B → Total $= +2$ (Grandmother, Galat). - Option (C): A(+1) C(0) B(+1) D → A se B ka gap $+1$ nahi banta. - Option (D): A(-1) C(-1) D(-1) B → Total $= -3$ (Galat). - Option (B): B @ C × A @ D - B @ C: B mata hai C ki ($+1$) - C × A: C pati hai A ka ($0$) - B se A ka net gap $= +1$. Step 3: Family tree verify karein: - B mata hai C ki ($B^{(-)}$). - C pati hai A ka ($C^{(+)} \iff A^{(-)}$). - Bete (C) ki patni A hai, arthath A, B ki Daughter-in-law (पुत्रवधू) hai. Correct option (B) hai. Method 2 (Direct Option Verification): Option (B) me: B mata hai C ki, aur C pati hai A ka. Mata ke bete ki patni 'Daughter-in-law' hoti hai. Sambandh seedhe satyapit hota hai. Sahi uttar (B) hai.
Given: M + N means M is the brother of N; M × N means M is the husband of N; M ÷ N means M is the daughter of N; M @ N means M is the mother of N. (i) In the following expression what will come in place of question mark (?) so that P becomes the brother-in-law of U? P × R ÷ T ? U
दिया है: M + N का अर्थ है M, N का भाई है; M × N का अर्थ है M, N का पति है; M ÷ N का अर्थ है M, N की पुत्री है; M @ N का अर्थ है M, N की माता है। (i) निम्नलिखित अभिव्यक्ति में प्रश्नवाचक चिह्न (?) के स्थान पर क्या आएगा जिससे P, U का जीजा (brother-in-law) बन जाए? P × R ÷ T ? U
(A) (A) +
(B) (B) ×
(C) (C) ÷
(D) (D) @
✅ Answer & Explanation
Sahi jawab: D) (D) @Explanation: Method 1 (Reverse Family Tree Shortcut): Step 1: Expression ke pehle hisse ko decode karein: - P × R → P, R ka pati hai ($P^{(+)} \iff R^{(-)}$). - R ÷ T → R, T ki beti hai ($R^{(-)}$). Step 2: P ko U ka Brother-in-law (जीजा) banana hai, iska arth hai ki P ki patni (R) aur U aapas me bhai-behan (siblings) hone chahiye. Step 3: R aur U dono T ki santaan hone chahiye: - R pehle se T ki beti hai. - Yadi T, U ki mata ban jaye (`T @ U`), toh R aur U dono T ki santaanein (siblings) ho jayengi. - Tab P, U ki behan (R) ka pati hone ke karan U ka Brother-in-law (जीजा) ban jayega. Atah '?' ke sthan par '@' aana chahiye. Correct option (D) @ hai. Method 2 (Option Substitution Method): - Agar '?' ki jagah '@' rakhein: $P \times R \div T @ U$ - $T @ U \implies T$ mata hai $U$ ki. - $R \div T \implies R$ beti hai $T$ ki. - Isse $R$ aur $U$ siblings ho gaye. - $P \times R \implies P$ pati hai $R$ ka, jo $U$ ka brother-in-law (जीजा) banta hai. Sahi uttar (D) hai.
Given: M + N means M is the brother of N; M × N means M is the husband of N; M ÷ N means M is the daughter of N; M @ N means M is the mother of N. (ii) In the following expression what will come in place of question mark (?) so that A becomes the uncle of D? A + B × C ? D
दिया है: M + N का अर्थ है M, N का भाई है; M × N का अर्थ है M, N का पति है; M ÷ N का अर्थ है M, N की पुत्री है; M @ N का अर्थ है M, N की माता है। (ii) निम्नलिखित अभिव्यक्ति में प्रश्नवाचक चिह्न (?) के स्थान पर क्या आएगा जिससे A, D का चाचा (uncle) बन जाए? A + B × C ? D
(A) (A) +
(B) (B) ×
(C) (C) ÷
(D) (D) @
✅ Answer & Explanation
Sahi jawab: D) (D) @Explanation: Method 1 (Direct Relationship Requirement Shortcut): Step 1: Diya gaya expression decode karein: - A + B → A, B ka bhai hai ($A^{(+)} \leftrightarrow B^{(+)}$). - B × C → B, C ka pati hai ($B^{(+)} \iff C^{(-)}$). Step 2: A ko D ka Uncle (चाचा) banana hai: - A, B ka bhai hai. Yadi D, B aur C ki santaan ho jaye, toh pita (B) ka bhai hone ke karan A, D ka Uncle (चाचा) ban jayega. Step 3: C mahila (patni) hai, isliye C ko D ki mata hona padega: - C aur D ke beech 'Mother' ka relation aana chahiye, jiska symbol '@' hai (`C @ D`). Isliye '?' ke sthan par '@' aayega. Correct option (D) @ hai. Method 2 (Elimination Method): - C ek female hai, isliye C kisi ka bhai (+) ya pati (×) nahi ban sakti (Options A aur B eliminate). - Agar '÷' lagayein toh C, D ki beti ban jayegi (Gen -1, galat). - Keval Option (D) '@' lagane par C, D ki mata banegi aur A uska paternal uncle (चाचा) banega. Sahi uttar (D) hai.