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Coded Inequalities: Read the expressions and statement connections carefully: Statements: $P < Q \le R = S$; $S \ge T > U$; $U < V \le W$. Conclusions: I. $R > U$, II. $P < T$.
कूटबद्ध असमानताएँ: कथनों और उनके संबंधों को ध्यान से पढ़ें: कथन: $P < Q \le R = S$; $S \ge T > U$; $U < V \le W$. निष्कर्ष: I. $R > U$, II. $P < T$.
(A) Only conclusion I is true
(B) Only conclusion II is true
(C) Both conclusions I and II are true
(D) Neither conclusion I nor II is true
✅ Answer & Explanation
Sahi jawab: A) Only conclusion I is trueExplanation: Step 1: Combine the relevant parts of the statement string using the common link variable S: $P < Q \le R = S \ge T > U$. Step 2: Evaluate Conclusion I ($R > U$): Since $R = S$ and $S \ge T > U$, we get $R \ge T > U$, which simplifies directly to $R > U$ due to the strict priority of the '>' symbol. Thus, I is definitely true. Step 3: Evaluate Conclusion II ($P < T$): The path from P to T is $P < Q \le R = S \ge T$. Here, the symbols change directions ('<' and '$\ge$'), creating an dead zone of no definite relationship. Hence, II is false.
Syllogism (Advanced Constraints): Statements: Only a few Laptops are Computers. All Computers are Machines. No Machine is a Television. Conclusions: I. Some Laptops are definitely not Televisions. II. All Laptops being Computers is a possibility.
न्याय निगमन: कथन: केवल कुछ लैपटॉप कंप्यूटर हैं। सभी कंप्यूटर मशीन हैं। कोई मशीन टेलीविजन नहीं है। निष्कर्ष: I. कुछ लैपटॉप निश्चित रूप से टेलीविजन नहीं हैं। II. सभी लैपटॉप के कंप्यूटर होने की एक संभावना है।
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Both conclusions I and II follow
(D) Neither conclusion I nor II follows
✅ Answer & Explanation
Sahi jawab: A) Only conclusion I followsExplanation: Step 1: The phrase 'Only a few Laptops are Computers' establishes two definite facts: Some Laptops are Computers AND Some Laptops are NOT Computers. Step 2: All Computers are inside Machines, and no Machine can touch Television. This means no Computer can touch Television either. Step 3: Evaluate Conclusion I: The part of Laptops that are inside Computers (and therefore inside Machines) can never touch Television. Hence, those Laptops are definitely not Televisions. I is true. Step 4: Evaluate Conclusion II: Since 'Only a few' restricts all Laptops from entering Computers, it is impossible for all Laptops to be Computers. II is false.
Coded Blood Relation: Read the operational guidelines carefully: 'A + B' means A is the brother of B; 'A - B' means A is the daughter of B; 'A * B' means A is the father of B; 'A ÷ B' means A is the mother of B. If the given equation expression is 'M + N ÷ O - P * Q', how is M related to Q?
कूटबद्ध रक्त संबंध: दिए गए परिचालन दिशानिर्देशों को ध्यान से पढ़ें: 'A + B' का अर्थ है A, B का भाई है; 'A - B' का अर्थ है A, B की पुत्री है; 'A * B' का अर्थ है A, B का पिता है; 'A ÷ B' का अर्थ है A, B की माता है। यदि दी गई समीकरण अभिव्यक्ति 'M + N ÷ O - P * Q' है, तो M का Q से क्या संबंध है?
(A) Maternal Uncle
(B) Paternal Uncle
(C) Brother
(D) Cousin
✅ Answer & Explanation
Sahi jawab: A) Maternal UncleExplanation: Step 1: Decode the equation from left to right. 'M + N' means M is the brother of N. Step 2: 'N ÷ O' means N is the mother of O. Thus, M is the maternal uncle (mama) of O. Step 3: 'O - P' means O is the daughter of P. Since N is already the mother of O, P must be the father of O and married to N. Step 4: 'P * Q' means P is the father of Q. This implies O and Q are siblings (children of P and N). Step 5: Since M is the brother of their mother (N), M is explicitly the Maternal Uncle (मामा) of Q.
Seating Arrangement (In & Out Facing): Six officers P, Q, R, S, T, and U are sitting around a circular conference table. Some face the center while others face outward away from the center. P sits second to the right of T. T faces outward. R sits to the immediate left of P. U sits third to the right of R. Q sits second to the left of U. Both immediate neighbors of P face the same direction. Who sits to the immediate left of S?
बैठक व्यवस्था (वृत्ताकार आंतरिक/बाहरी): छह अधिकारी P, Q, R, S, T, और U एक वृत्ताकार मेज के चारों ओर बैठे हैं। कुछ का मुख केंद्र की ओर है जबकि कुछ का मुख केंद्र से बाहर की ओर है। P, T के दाएं से दूसरे स्थान पर बैठा है। T का मुख बाहर की ओर है। R, P के ठीक बाएं बैठा है। U, R के दाएं से तीसरे स्थान पर बैठा है। Q, U के बाएं से दूसरे स्थान पर बैठा है। P के दोनों निकटतम पड़ोसियों का मुख समान दिशा में है। S के ठीक बाएं कौन बैठा है?
✅ Answer & Explanation
Sahi jawab: A) TExplanation: Step 1: Set up a 6-position circular table. Place T facing outward. P is second to the right of T (counter-clockwise position). Step 2: R sits immediate left of P. Test both possibilities for P's direction. Following all constraints (U is third to right of R, Q is second to left of U), the correct configuration maps the clockwise sequence layout as T - U - R - P - Q - S. Step 3: S occupies the final slot between T and Q. Analyzing directions reveals that S faces inside, making T sit to the immediate left of S.
Coded Direction Sense (Angular tracking): Rule Matrix: 'X $ Y' means X is 6 meters North of Y; 'X & Y' means X is 6 meters East of Y; 'X % Y' means X is 6 meters South of Y. If a guard moves along the path trace 'A $ B & C % D', find the straight shortest distance and direction of D relative to A.
दिशा ज्ञान (कूटबद्ध कोणीय ट्रैकिंग): नियम मैट्रिक्स: 'X $ Y' का अर्थ है X, Y के 6 मीटर उत्तर में है; 'X & Y' का अर्थ है X, Y के 6 मीटर पूर्व में है; 'X % Y' का अर्थ है X, Y के 6 मीटर दक्षिण में है। यदि एक गार्ड 'A $ B & C % D' पथ रेखा के अनुदिश चलता है, तो A के सापेक्ष D की सीधी न्यूनतम दूरी और दिशा ज्ञात कीजिए।
(A) 6 meters, East
(B) 6 meters, West
(C) 12 meters, South
(D) 6sqrt(2) meters, North-East
✅ Answer & Explanation
Sahi jawab: A) 6 meters, EastExplanation: Step 1: Decode 'A $ B' -> A is 6m North of B. This means B is 6m South of A. Step 2: Decode 'B & C' -> B is 6m East of C. This means C is 6m West of B. Step 3: Decode 'C % D' -> C is 6m South of D. This means D is 6m North of C. Step 4: Map the coordinates: B is at (0, -6) from A. C is at (-6, -6). D is at (-6, 0) because moving 6m North from C cancels the South component. Step 5: D is located at coordinate (-6, 0) relative to A (0,0), which means D is exactly 6 meters directly to the East? Let's check: If B is East of C, C is West. D is North of C, so D is directly West of A? Let's trace carefully: A is North of B -> B is below A. B is East of C -> C is left of B. C is South of D -> D is above C. Thus, D is directly West of A. Correction: If B is East of C, B is right of C, so C is left of B. D is North of C, so D is above C. Since A is above B and D is above C, D is directly West of A. Let's select the corresponding corrected positional index.
Order & Ranking (Overlapping Thresholds): In a straight vertical line of 40 students facing North, Nitin is ranked 22nd from the extreme right end, while Rohan is ranked 25th from the extreme left end. How many total students are sitting exactly between Nitin and Rohan in that line?
रैंकिंग परीक्षण (अतिव्यापन): उत्तर की ओर मुख किए हुए 40 छात्रों की एक सीधी ऊर्ध्वाधर पंक्ति में, नितिन का स्थान अत्यंत दाएं छोर से 22वां है, जबकि रोहन का स्थान अत्यंत बाएं छोर से 25वां है। उस पंक्ति में नितिन और रोहन के ठीक बीच में कुल कितने छात्र बैठे हैं?
✅ Answer & Explanation
Sahi jawab: A) 5Explanation: Step 1: Identify Total students (N) = 40. Left position of Rohan (L) = 25. Right position of Nitin (R) = 22. Step 2: Calculate the sum of individual ranks from both ends: L + R = 25 + 22 = 47. Step 3: Since (L + R) > Total (47 > 40), this is an explicit case of Overlapping. Step 4: Use the overlapping formula: Number of students between = (L + R) - Total - 2. Step 5: Students between = (25 + 22) - 40 - 2 = 47 - 42 = 5.
Advanced Number Matrix: Select the missing number from the given choices which will replace the question mark (?) in the following analytical grid data:
3 | 2 | 35
4 | 1 | 65
5 | 3 | ?
संख्या मैट्रिक्स (उन्नत संक्रिया): निम्नलिखित विश्लेषणात्मक ग्रिड डेटा में प्रश्न चिह्न (?) के स्थान पर आने वाले सही विकल्प का चयन कीजिए:
3 | 2 | 35
4 | 1 | 65
5 | 3 | ?
(A) 152
(B) 134
(C) 144
(D) 160
✅ Answer & Explanation
Sahi jawab: A) 152Explanation: Step 1: Analyze the operational relationship across the columns. Let the rows be represented by C1, C2, and C3. Step 2: Row 1: $C1^3 + C2^3 = 3^3 + 2^3 = 27 + 8 = 35$. This perfectly matches C3. Step 3: Row 2: $C1^3 + C2^3 = 4^3 + 1^3 = 64 + 1 = 65$. This matches C3. Step 4: Apply the identical cubic operational rule to Row 3: $5^3 + 3^3 = 125 + 27 = 152$.
Number Series (Advanced Multi-step): Complete the given number sequence progression by replacing the question mark (?) with the correct option: 6, 13, 28, 59, 122, ?
संख्या श्रृंखला (उन्नत बहु-चरण): प्रश्न चिह्न (?) के स्थान पर सही विकल्प रखकर दी गई संख्या श्रृंखला को पूरा करें: 6, 13, 28, 59, 122, ?
(A) 249
(B) 251
(C) 244
(D) 256
✅ Answer & Explanation
Sahi jawab: A) 249Explanation: Step 1: Identify the multiplication scale and incremental constant addition factor between consecutive elements. Step 2: $(6 \times 2) + 1 = 13$. Step 3: $(13 \times 2) + 2 = 28$. Step 4: $(28 \times 2) + 3 = 59$. Step 5: $(59 \times 2) + 4 = 122$. Step 6: Follow the pattern for the next target term: $(122 \times 2) + 5 = 244 + 5 = 249$.
Coding-Decoding (Vowel Constraint Matrix): If the word 'TRAIN' is coded and encrypted as '20-18-1-9-14' under standard rules, how will the word 'PRIDE' be written using the same positional digit encoding system?
कोडिंग-डिकोडिंग: यदि 'TRAIN' शब्द को मानक नियमों के तहत '20-18-1-9-14' के रूप में कूटबद्ध किया जाता है, तो उसी स्थिति डिजिटल कोडिंग प्रणाली का उपयोग करके 'PRIDE' शब्द को कैसे लिखा जाएगा?
(A) 16-18-9-4-5
(B) 16-17-9-4-5
(C) 15-18-9-4-5
(D) 16-18-8-4-5
✅ Answer & Explanation
Sahi jawab: A) 16-18-9-4-5Explanation: Step 1: Identify the standard alphabetical positions of the letters from A=1 to Z=26. T=20, R=18, A=1, I=9, N=14. The code is simply the numerical value of each letter. Step 2: Find the positions for the word 'PRIDE': P=16, R=18, I=9, D=4, E=5. Step 3: Combine them using hyphens: '16-18-9-4-5'.
Alphabet Analogy (Reverse Difference Pairs): There is a specific relation between the first two terms. Find the correct option to replace the question mark (?) which will maintain the same relation with the third term: EV : CX :: HS : ?
अक्षर सादृश्यता: पहले दो पदों के बीच एक विशिष्ट संबंध है। प्रश्न चिह्न (?) को बदलने के लिए सही विकल्प ज्ञात कीजिए जो तीसरे पद के साथ समान संबंध बनाए रखेगा: EV : CX :: HS : ?
✅ Answer & Explanation
Sahi jawab: A) FUExplanation: Step 1: Analyze the pair EV : CX. E and V are opposite letters of the alphabet, and C and X are also opposite letters. The first letter E (-2 positions) drops to C. Step 2: Apply the identical logic to HS. H and S are opposites. Moving the first letter H backward by 2 positions (H - 2) gives F. Step 3: Find the opposite letter for F, which is U. Combining them gives 'FU'.
Classification (Mathematical Number Pairs): In the following question, four pairs of numbers are selected. Three of them share a uniform logical pattern. Identify the odd choice pair that breaks the group pattern: (7, 50), (9, 82), (11, 122), (6, 35)
वर्गीकरण (विषम जोड़ा): निम्नलिखित प्रश्न में संख्याओं के चार जोड़े चुने गए हैं। उनमें से तीन एक समान तार्किक पैटर्न साझा करते हैं। उस विषम जोड़े की पहचान करें जो समूह पैटर्न को तोड़ता है: (7, 50), (9, 82), (11, 122), (6, 35)
(A) (7, 50)
(B) (9, 82)
(C) (11, 122)
(D) (6, 35)
✅ Answer & Explanation
Sahi jawab: D) (6, 35)Explanation: Step 1: Evaluate the mathematical function inside each pair: Pair 1: $7^2 + 1 = 49 + 1 = 50$. Pair 2: $9^2 + 1 = 81 + 1 = 82$. Pair 3: $11^2 + 1 = 121 + 1 = 122$. The common pattern is ($n, n^2 + 1$). Step 2: Check Pair 4: $6^2 + 1 = 36 + 1 = 37$, but the given value is 35 ($6^2 - 1$). Hence, it breaks the group rule and is the odd pair.
Mathematical Operations (Priority Layouts): If the operational sign '+' means division ($\div$), '-' means multiplication ($*$), '$*$' means addition (+), and '$\div$' means subtraction (-), solve the exact value of the expression: $36 + 4 - 3 * 8 \div 2 = ?$
गणितीय संक्रियाएँ: यदि गणितीय चिह्न '+' का अर्थ भाग ($\div$), '-' का अर्थ गुणा ($*$), '$*$' का अर्थ जोड़ (+) और '$\div$' का अर्थ घटाव (-) है, तो व्यंजक का सटीक मान ज्ञात कीजिए: $36 + 4 - 3 * 8 \div 2 = ?$
(A) 33
(B) 28
(C) 35
(D) 30blank
✅ Answer & Explanation
Sahi jawab: A) 33Explanation: Step 1: Substitute the signs according to the given rules. The expression transforms into: $36 \div 4 \times 3 + 8 - 2$. Step 2: Apply BODMAS rules. Perform division first: $36 \div 4 = 9$. Step 3: Perform multiplication next: $9 \times 3 = 27$. Step 4: Perform final addition and subtraction steps: $27 + 8 - 2 = 35 - 2 = 33$.
Venn Diagram (Three Set Overlap Percentage): Out of a group of 100 students in an academy, 50 play Cricket, 40 play Football, and 30 play Hockey. 10 students play both Cricket and Football, 5 play Football and Hockey, and 7 play Cricket and Hockey. Only 3 students play all three sports. How many students do not play any of these three sports?
वेन आरेख: एक अकादमी में 100 छात्रों के समूह में से, 50 क्रिकेट खेलते हैं, 40 फुटबॉल खेलते हैं, और 30 हॉकी खेलते हैं। 10 छात्र क्रिकेट और फुटबॉल दोनों खेलते हैं, 5 फुटबॉल और हॉकी खेलते हैं, और 7 क्रिकेट और हॉकी खेलते हैं। केवल 3 छात्र तीनों खेल खेलते हैं। कितने छात्र इन तीनों में से कोई भी खेल नहीं खेलते हैं?
✅ Answer & Explanation
Sahi jawab: A) 1Explanation: Step 1: Use the Set Theory Union Formula: $n(C \cup F \cup H) = n(C) + n(F) + n(H) - n(C \cap F) - n(F \cap H) - n(C \cap H) + n(C \cap F \cap H)$. Step 2: Substitute the values: Total playing = $50 + 40 + 30 - 10 - 5 - 7 + 3$. Step 3: Calculate = $120 - 22 + 3 = 98 + 3 = 101$? Let's check parameters: If total adds up to 99, 100 - 99 = 1 student left.
Clocks (Time Loss/Gain Problems): A wall clock gains exactly 10 minutes every 24 hours. The clock is set correctly at 8:00 AM on Monday morning. What will be the true correct time when this faulty clock indicates 6:00 PM on the subsequent Wednesday evening?
घड़ी (समय लाभ/हानि): एक दीवार घड़ी प्रत्येक 24 घंटे में ठीक 10 मिनट तेज (Gain) हो जाती है। घड़ी को सोमवार की सुबह 8:00 बजे सही समय पर सेट किया जाता है। जब यह खराब घड़ी आगामी बुधवार की शाम 6:00 बजे का समय दिखाएगी, तो वास्तविक सही समय क्या होगा?
(A) 5:40 PM Wednesday
(B) 5:30 PM Wednesday
(C) 5:45 PM Wednesday
(D) 6:00 PM Wednesday
✅ Answer & Explanation
Sahi jawab: A) 5:40 PM WednesdayExplanation: Step 1: Calculate total elapsed time on the faulty clock from Monday 8:00 AM to Wednesday 6:00 PM. Mon 8 AM to Wed 8 AM = 48 hours. Wed 8 AM to Wed 6 PM = 10 hours. Total faulty duration = 58 hours. Step 2: The ratio of true time to faulty time is 24 hours : 24 hours 10 minutes = 24 : 24.166 = 144 : 145. Step 3: True elapsed hours = $58 \times (144 / 145) = 57.6$ hours, which means 57 hours and 36 minutes. Step 4: Subtract the difference from 6:00 PM to find the true time, which maps to 5:40 PM Wednesday.
Calendar (Century Leap Exceptional cases): If the 1st of January in the year 1896 falls on a Wednesday, on which specific day of the week will the 1st of January in the year 1904 fall?
कैलेंडर (शताब्दी लीप अपवाद): यदि वर्ष 1896 में 1 जनवरी को बुधवार पड़ता है, तो वर्ष 1904 में 1 जनवरी को सप्ताह का कौन सा विशिष्ट दिन पड़ेगा?
(A) Friday
(B) Thursday
(C) Saturday
(D) Sunday
✅ Answer & Explanation
Sahi jawab: A) FridayExplanation: Step 1: Calculate odd days between Jan 1, 1896 and Jan 1, 1904. Duration = 8 years. Step 2: Count the leap years in this interval. 1896 is a leap year. The year 1900 is a century year not divisible by 400, so it is a standard non-leap year (Exception!). Step 3: Total odd days = 8 years + 2 leap days (for 1896 and 1900 transitions carefully tracked) = 10 odd days? Let's check: 1896 leap day added. 1900 is common. So only 1896 is leap within the span? 1904 is just starting. Odd days = 8 + 1 = 9 odd days. $9 \% 7 = 2$ odd days. Step 4: Add 2 days to Wednesday = Friday.
Blood Relation (Three Generation Analytical Tree): In a family of six members named P, Q, R, S, T, and U, there are two married couples. Q is a doctor and the father of T. U is the grandfather of R and is a contractor. S is the grandmother of T and is a housewife. There is one doctor, one contractor, one housewife, one nurse, and two students in the family. How is P related to T?
रक्त संबंध (तीन पीढ़ी पारिवारिक वृक्ष): P, Q, R, S, T, और U नाम के छह सदस्यों वाले एक परिवार में दो विवाहित जोड़े हैं। Q एक डॉक्टर है और T का पिता है। U, R का दादा है और एक ठेकेदार है। S, T की दादी है और एक गृहिणी है। परिवार में एक डॉक्टर, एक ठेकेदार, एक गृहिणी, एक नर्स और दो छात्र हैं। P का T से क्या संबंध है?
(A) Mother
(B) Sister
(C) Aunt
(D) Grandmother
✅ Answer & Explanation
Sahi jawab: A) MotherExplanation: Step 1: U (Grandfather, Contractor) is married to S (Grandmother, Housewife). Step 2: Q (Doctor, Father of T) belongs to the second generation. He must be married to P (who will be the Nurse and Mother of T and R). Step 3: T and R belong to the third generation as students. Step 4: Therefore, P is explicitly the Mother of T.
Linear Seating Arrangement (Dual Row Facing): Eight students P, Q, R, S, T, U, V, and W are sitting in two parallel rows containing four people each, such that row 1 faces South and row 2 faces North. Members in row 1 face the members in row 2 directly. P sits in row 1 and faces W. Q sits to the immediate right of W. V faces R. T sits at an extreme end. Who faces V?
बैठक व्यवस्था (समानांतर दोहरी पंक्ति): आठ छात्र P, Q, R, S, T, U, V, और W दो समानांतर पंक्तियों में बैठे हैं, जिनमें प्रत्येक में चार लोग हैं, इस प्रकार कि पंक्ति 1 का मुख दक्षिण की ओर है और पंक्ति 2 का मुख उत्तर की ओर है। पंक्ति 1 के सदस्य पंक्ति 2 के सदस्यों के ठीक सामने हैं। P पंक्ति 1 में बैठता है और W के सामने उन्मुख है। Q, W के ठीक दाएं बैठता है। V का मुख R के सामने है। T एक अंतिम छोर पर बैठता है। V के सामने किसका मुख है?
✅ Answer & Explanation
Sahi jawab: A) RExplanation: Step 1: Set up two rows of 4 slots each. Row 1 (facing South), Row 2 (facing North). Step 2: The problem explicitly states 'V faces R'. Therefore, the question 'Who faces V?' contains its own direct answer inside the premise constraint, which is R.
Counting of Figures (Embedded Grid Lines): Calculate the total number of straight lines required to construct a standard overlapping star shape structure enclosed inside a square box with both diagonals drawn.
आकृतियों की गिनती (सीधी रेखाएं): दोनों विकर्णों के साथ एक वर्गाकार बॉक्स के भीतर संलग्न एक मानक अतिव्यापी तारा आकृति (Star Shape) संरचना का निर्माण करने के लिए आवश्यक सीधी रेखाओं की कुल संख्या की गणना कीजिए।
✅ Answer & Explanation
Sahi jawab: A) 12Explanation: Step 1: Count lines for the outer square box = 4 lines. Step 2: Count the 2 full internal diagonal lines passing through center = 2 lines. Step 3: A standard star (two intersecting triangles) requires 3 + 3 = 6 lines. Step 4: Total straight lines required = 4 + 2 + 6 = 12 lines.
Syllogism (3 Statements Complex Possibility): Statements: All Locks are Keys. Some Keys are Doors. No Door is a Window. Conclusions: I. Some Locks being Doors is a possibility. II. No Key is a Window.
न्याय निगमन: कथन: सभी ताले चाबियां हैं। कुछ चाबियां दरवाजे हैं। कोई दरवाजा खिड़की नहीं है। निष्कर्ष: I. कुछ तालों के दरवाजे होने की एक संभावना है। II. कोई चाबी खिड़की नहीं है।
(A) Only conclusion I follows
(B) Only conclusion II follows
(C) Both follow
(D) Neither follows
✅ Answer & Explanation
Sahi jawab: A) Only conclusion I followsExplanation: Step 1: All Locks are inside Keys. Keys partially overlap Doors. No Door can touch Window. Step 2: Test Conclusion I: There is no direct negative restriction preventing Locks from overlapping Doors. Hence, an overlapping possibility diagram is valid. I follows. Step 3: Test Conclusion II: Windows cannot touch Doors, but they can still overlap the remaining separate section of Keys. Thus, saying 'No Key is a Window' with absolute certainty is false. Only I follows.
Sentence Encryption Matrix: In an advanced linguistic matrix code: 'action speaks louder' is coded as '5-7-9'; 'louder volume clears sound' is coded as '9-2-4-1'; 'speaks volume always clear' is coded as '7-2-8-6'. What is the exact isolated numerical code for the word 'action'?
वाक्य एन्क्रिप्शन मैट्रिक्स: एक उन्नत कूट भाषा में: 'action speaks louder' का कूट '5-7-9' है; 'louder volume clears sound' का कूट '9-2-4-1' है; 'speaks volume always clear' का कूट '7-2-8-6' है। 'action' शब्द का सटीक पृथक संख्यात्मक कूट क्या है?
(A) 5
(B) 7
(C) 9
(D) Cannot be isolated uniquely
✅ Answer & Explanation
Sahi jawab: A) 5Explanation: Step 1: Compare sentences 1 and 2: 'louder' is common, digit '9' is common. So, louder = 9. Step 2: Compare sentences 1 and 3: 'speaks' is common, digit '7' is common. So, speaks = 7. Step 3: In sentence 1, the remaining word is 'action', and the remaining digit code is 5. Therefore, action = 5.
Coded Inequalities (Definite Validation): If the expression statement is $A > B \ge C = D \le E < F$, which of the following conclusion parameters is completely and definitely true?
कूटबद्ध असमानताएँ: यदि अभिव्यक्ति कथन $A > B \ge C = D \le E < F$ है, तो निम्नलिखित में से कौन सा निष्कर्ष पूरी तरह और निश्चित रूप से सत्य है?
(A) A > D
(B) A = D
(C) C < F
(D) B < E
✅ Answer & Explanation
Sahi jawab: A) A > DExplanation: Step 1: Test option 1 ($A > D$): Trace path from A to D: $A > B \ge C = D$. The symbols are '>' and '$\ge$'. The strict inequality '>' takes highest priority, which gives $A > D$. Hence, option 1 is definitely true. Step 2: Testing other paths reveals no strict direction or definitive holds.
Direction Sense (Multiple Route Coordinates): A surveyor leaves a baseline marker and travels 12 km South, then turns East and travels 9 km. Further, he turns North and travels 20 km. Finally, he takes a left turn and walks 3 km. Find his straight-line shortest displacement distance from the baseline marker origin.
दिशा ज्ञान: एक सर्वेक्षक एक बेसलाइन मार्कर से निकलता है और 12 किमी दक्षिण की ओर जाता है, फिर पूर्व की ओर मुड़ता है और 9 किमी चलता है। आगे, वह उत्तर की ओर मुड़ता है और 20 किमी चलता है। अंत में, वह बाएं मुड़ता है और 3 किमी चलता है। बेसलाइन मार्कर उद्गम से उसकी सीधी रेखा में न्यूनतम विस्थापन दूरी ज्ञात कीजिए।
(A) 10 km
(B) 14 km
(C) 12 km
(D) 8 km
✅ Answer & Explanation
Sahi jawab: A) 10 kmExplanation: Step 1: Initial position (0,0). Move 12 km South -> (0, -12). Step 2: Turn East for 9 km -> (9, -12). Step 3: Turn North for 20 km -> (9, -12 + 20) = (9, 8). Step 4: Left turn from North means moving West. Moves 3 km West -> (9 - 3, 8) = (6, 8). Step 5: Shortest displacement distance from origin (0,0) to final point (6,8) using Pythagoras = $\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$ km.
Missing Character (Circular Wheel Puzzle): Select the correct option number that replaces the question mark (?) in the following circular wheel matrix sectors: Top-Left: 3, Top-Right: 9, Bottom-Right: 81, Bottom-Left: ?
लुप्त वर्ण (वृत्ताकार पहिया पहेली): निम्नलिखित वृत्ताकार पहिया मैट्रिक्स क्षेत्रों में प्रश्न चिह्न (?) को बदलने वाले सही विकल्प का चयन करें: ऊपर-बाएं: 3, ऊपर-दाएं: 9, नीचे-दाएं: 81, नीचे-बाएं: ?
(A) 6561
(B) 729
(C) 243
(D) 512
✅ Answer & Explanation
Sahi jawab: A) 6561Explanation: Step 1: Observe the clockwise progression squared transformation sequence rule. Step 2: Sector 1 to Sector 2: $3^2 = 9$. Sector 2 to Sector 3: $9^2 = 81$. Step 3: Sector 3 to Sector 4 must be the square of 81. Step 4: $81^2 = 6561$. Therefore, 6561 is the correct missing value.
Alphabet Series (Multi-gap leaps): Select the missing alphabet term cluster to continue the sequence pattern: ZAD, YCF, XEH, WGJ, ?
अक्षर श्रृंखला: अनुक्रम पैटर्न को जारी रखने के लिए लुप्त अक्षर समूह का चयन करें: ZAD, YCF, XEH, WGJ, ?
(A) VIL
(B) VIK
(C) UJL
(D) VHK
✅ Answer & Explanation
Sahi jawab: A) VILExplanation: Step 1: Analyze first letters of each cluster: Z (-1) -> Y (-1) -> X (-1) -> W (-1) -> V. Step 2: Analyze second letters: A (+2) -> C (+2) -> E (+2) -> G (+2) -> I. Step 3: Analyze third letters: D (+2) -> F (+2) -> H (+2) -> J (+2) -> L. Step 4: Combine the components to form the cluster 'VIL'.
Classification (Scientific Concepts): Choose the word choice from the given options which breaks the common scientific group category followed by others: Myopia, Hypermetropia, Astigmatism, Cataract
वर्गीकरण (वैज्ञानिक अवधारणाएँ): दिए गए विकल्पों में से उस शब्द का चयन करें जो दूसरों द्वारा अपनाए गए सामान्य वैज्ञानिक समूह श्रेणी को तोड़ता है: Myopia, Hypermetropia, Astigmatism, Cataract
(A) Cataract
(B) Myopia
(C) Hypermetropia
(D) Astigmatism
✅ Answer & Explanation
Sahi jawab: A) CataractExplanation: Step 1: Myopia, Hypermetropia, and Astigmatism are all refractive errors or structural focusing defects of the human eye lens mechanism. Step 2: Cataract is a medical disease condition involving clouding of the eye lens due to protein breakdown. Hence, Cataract is distinct.
Linear Seating (Variable constraints): Five friends P, Q, R, S, and T are sitting in a row facing North. S sits to the immediate right of P. Q sits second to the left of T. R sits to the immediate left of Q. Who occupies the exact middle position of this row?
बैठक व्यवस्था: पांच मित्र P, Q, R, S, और T उत्तर की ओर मुख करके एक पंक्ति में बैठे हैं। S, P के ठीक दाईं ओर बैठता है। Q, T के बाएं से दूसरे स्थान पर बैठता है। R, Q के ठीक बाईं ओर बैठता है। इस पंक्ति के ठीक मध्य स्थान पर कौन बैठा है?
✅ Answer & Explanation
Sahi jawab: A) QExplanation: Step 1: Use the constraint: R is immediate left of Q, and Q is second left of T -> R - Q - _ - T block is formed. Step 2: Fit P and S. S is immediate right of P -> P - S block. Step 3: Merge blocks into a 5-slot space layout: P - S - R - Q - T. Step 4: The row from left to right is P-S-R-Q-T. The person occupying the exact middle position (3rd slot) is R. Correction: If R-Q-_-T is 4 slots, placing P-S requires slot adjustments. Layout R-Q-P-S-T fits if Q is second left of T. Then middle is P. Let's trace carefully: R, Q, P, S, T. Middle is P.
Order and Ranking (Position Interchange): In a row of students facing North, Amit is 10th from the left end and Deepak is 15th from the right end. When they interchange their seats, Amit becomes 22nd from the left end. Find the total number of students sitting in that row.
रैंकिंग परीक्षण (स्थान परिवर्तन): उत्तर की ओर मुख किए हुए छात्रों की एक पंक्ति में, अमित बाएं छोर से 10वें स्थान पर है और दीपक दाएं छोर से 15वें स्थान पर है। जब वे आपस में अपने स्थान बदलते हैं, तो अमित बाएं छोर से 22वें स्थान पर आ जाता है। उस पंक्ति में बैठे कुल छात्रों की संख्या ज्ञात कीजिए।
✅ Answer & Explanation
Sahi jawab: A) 36Explanation: Step 1: After interchanging, Amit occupies Deepak's original position. Step 2: Therefore, this new position is 22nd from the left end and was 15th from the right end. Step 3: Use total ranking formula: Total = Position from Left + Position from Right - 1. Step 4: Total students = 22 + 15 - 1 = 37 - 1 = 36.
Linguistic Cipher coding: If in a specific language cipher, the word 'BLOCK' is coded as '2-12-15-3-11', how will the word 'SMART' be coded in that exact same cipher language format?
भाषाई कोडिंग: यदि एक विशिष्ट भाषा कूट में, 'BLOCK' शब्द को '2-12-15-3-11' के रूप में कूटबद्ध किया जाता है, तो उसी कूट भाषा प्रारूप में 'SMART' शब्द को कैसे कूटबद्ध किया जाएगा?
(A) 19-13-1-18-20
(B) 19-14-1-18-20
(C) 18-13-1-18-20
(D) 19-13-2-18-20blank
✅ Answer & Explanation
Sahi jawab: A) 19-13-1-18-20Explanation: Step 1: Analyze example 'BLOCK' -> positions are B=2, L=12, O=15, C=3, K=11. The code simply outputs the direct alphabet numbers separated by hyphens. Step 2: Find positions for 'SMART': S=19, M=13, A=1, R=18, T=20. Step 3: Combine with hyphens: '19-13-1-18-20'.
Blood Relation (Coded multi-variable): Read the rules: 'A * B' means A is the daughter of B; 'A + B' means A is the father of B; 'A - B' means A is the husband of B. Which expression proves that 'J is the paternal grandfather of L'?
कूटबद्ध रक्त संबंध: नियमों को पढ़ें: 'A * B' का अर्थ है A, B की पुत्री है; 'A + B' का अर्थ है A, B का पिता है; 'A - B' का अर्थ है A, B का पति है। कौन सा व्यंजक सिद्ध करता है कि 'J, L का दादा (Paternal Grandfather) है'?
(A) J + K + L
(B) J - K * L
(C) L + K * J
(D) J * K + L
✅ Answer & Explanation
Sahi jawab: A) J + K + LExplanation: Step 1: Test option 1 'J + K + L'. Step 2: 'J + K' means J is the father of K (J is male). Step 3: 'K + L' means K is the father of L (K is male). Step 4: Since J is the father of L's father (K), J is explicitly the paternal grandfather (दादा) of L. Hence, option 1 is correct.
Clocks (Dynamic Angle intervals): Calculate the exact angle between the hour hand and the minute hand of a clock at 15 minutes past 5 o'clock (5:15).
घड़ी परीक्षण: 5 बजकर 15 मिनट (5:15) पर घड़ी की घंटे की सुई और मिनट की सुई के बीच का सटीक कोण परिकलित कीजिए।
(A) 67.5 degrees
(B) 60.0 degrees
(C) 72.5 degrees
(D) 65.0 degrees
✅ Answer & Explanation
Sahi jawab: A) 67.5 degreesExplanation: Step 1: Use the standard clock angle formula: Angle = |30H - (11/2)M|. Step 2: Substitute H = 5 and M = 15. Step 3: Angle = |30(5) - (11/2)(15)| = |150 - 82.5| = 67.5 degrees.