IBPS RRB Officer Scale-I Prelims practice question
The sum of the present ages of Priya and Arjun is 76 years. 6 years ago, Priya was three times as old as Arjun. What is the present age of Priya?
From a IBPS RRB Officer Scale-I Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) 54 years
Let Arjun's present age be x, so Priya's is 76 − x. 6 years ago: (76 − x − 6) = 3(x − 6) ⇒ 70 − x = 3x − 18 ⇒ 4x = 88 ⇒ x = 22. So Arjun = 22 years and Priya = 76 − 22 = 54 years. (Splitting 76 directly in the ratio 3 : 1 gives 57, which ignores the 6-year shift.)
हिंदी में प्रश्न
प्रिया और अर्जुन की वर्तमान आयुओं का योग 76 वर्ष है। 6 वर्ष पहले प्रिया की आयु अर्जुन की आयु की तिगुनी थी। प्रिया की वर्तमान आयु कितनी है?
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सही उत्तर: (C) 54 वर्ष
माना अर्जुन की वर्तमान आयु x है, अतः प्रिया की 76 − x। 6 वर्ष पहले: (76 − x − 6) = 3(x − 6) ⇒ 70 − x = 3x − 18 ⇒ 4x = 88 ⇒ x = 22। अतः अर्जुन = 22 वर्ष और प्रिया = 76 − 22 = 54 वर्ष। (76 को सीधे 3 : 1 में बाँटने पर 57 आता है, जो 6 वर्ष के अंतर की उपेक्षा है।)
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