Question:
In a certain code, 16 means ‘you go’, 943 means ‘he should go’, 917 means ‘he will go’. Which digit means ‘should’?
एक निश्चित कूट में, 16 का अर्थ ‘you go’ है, 943 का अर्थ ‘he should go’ है, 917 का अर्थ ‘he will go’ है। किस अंक का अर्थ ‘should’ है?
Options:
- a) 4
- b) 3
- c) 9
- d) 1
- a) 4
- b) 3
- c) 9
- d) 1
correct answer : b)
Explanation:
16=you go → 6 or 1 = go/you. 943=he should go, 917=he will go. Common in 943 and 917: 9 (he) and either 4 or 3. 16 has 6=go (common word ‘go’). In 943: 9=he, 6 is not there so go≠6 here… 917: go is present, 9=he, 7=will, 1=go. So in 16: 1=go, 6=you. In 943: 9=he, 1 not present, so 4=should, 3=go? But 1=go from before. Let’s reconsider: 943 has digits 9,4,3 for ‘he should go’. If go=1, then go is missing in 943. So go must be represented differently. Try: 16=you go (1=go, 6=you OR 6=go, 1=you). 917=he will go: 9=he, common with 943. In 943: 9=he, remaining 4,3=should,go. In 917: 9=he, remaining 1,7=will,go. Common between 943 and 917 for ‘go’: none same digit except 9=he. Since ‘go’ appears in all: 16,943,917 — digit common to all three: 16 has 1,6; 943 has 9,4,3; 917 has 9,1,7. Common to all = ‘nothing’ directly. Common to 943 & 917 = 9(he). Common to 16 & 917 = 1. So go=1, 6=you. 917: 9=he, 1=go, 7=will. 943: 9=he, 1 not present, so 4 and 3 are ‘should’ and… wait 943 is only 3 words ‘he should go’. If go=1 not in 943, contradiction. Let me try 6=go: 16=you,go → 1=you, 6=go. 943 has no 6… contradiction again. Try 3=go: 943=he should go → 9=he, 4=should, 3=go. 917=he will go → 9=he, 1=will, 7=go. But go=3 and go=7 contradiction. So 4=should or the other. Answer is (b) 4 = should.
943 = ‘he should go’ और 917 = ‘he will go’। 9 = he (दोनों में समान)। 16 = ‘you go’ में 6 = go (संभावित)। 943 में 4 और 3 बचते हैं ‘should’ और ‘go’ के लिए। यदि 6=go तो 943 में go नहीं होगा — अतः 3=go, 4=should। उत्तर: 4 = should।