Using the same data, Branches A, B and C disbursed ₹780 lakh, ₹756 lakh and ₹756 lakh respectively. If 80% of the amount disbursed at A and C together is recovered and 75% of the amount disbursed at B is recovered, what is the total unrecovered amount?
DI Data: Branch A—800 applications, 65% approved, average ₹1.5 lakh per approved loan; Branch B—600, 70%, ₹1.8 lakh; Branch C—900, 60%, ₹1.4 lakh; Branch D—750, 72%, ₹1.6 lakh; Branch E—1,000, 55%, ₹1.2 lakh.उसी तालिका के आधार पर, शाखा A, B और C ने क्रमशः ₹780 लाख, ₹756 लाख और ₹756 लाख वितरित किए। यदि A और C द्वारा वितरित कुल राशि का 80% तथा B द्वारा वितरित राशि का 75% वसूल हो जाता है, तो कुल अवसूलित राशि कितनी होगी?
DI डेटा: शाखा A—800 आवेदन, 65% स्वीकृत, प्रति स्वीकृत ऋण औसत ₹1.5 लाख; B—600, 70%, ₹1.8 लाख; C—900, 60%, ₹1.4 लाख; D—750, 72%, ₹1.6 लाख; E—1,000, 55%, ₹1.2 लाख।
Correct answer: ₹496.2 lakh
Explanation: A + C disbursement = 780 + 756 = ₹1,536 lakh. Unrecovered from A + C = 20% of 1,536 = ₹307.2 lakh. Unrecovered from B = 25% of 756 = ₹189 lakh. Total unrecovered = 307.2 + 189 = ₹496.2 lakh.
Question 42 · Hard
Using the same data, what is the ratio of approved applications at Branch B to those at Branch E?
DI Data: Branch A—800 applications, 65% approved, average ₹1.5 lakh per approved loan; Branch B—600, 70%, ₹1.8 lakh; Branch C—900, 60%, ₹1.4 lakh; Branch D—750, 72%, ₹1.6 lakh; Branch E—1,000, 55%, ₹1.2 lakh.उसी तालिका के आधार पर, शाखा B में स्वीकृत आवेदनों और शाखा E में स्वीकृत आवेदनों का अनुपात क्या है?
DI डेटा: शाखा A—800 आवेदन, 65% स्वीकृत, प्रति स्वीकृत ऋण औसत ₹1.5 लाख; B—600, 70%, ₹1.8 लाख; C—900, 60%, ₹1.4 लाख; D—750, 72%, ₹1.6 लाख; E—1,000, 55%, ₹1.2 लाख।
Correct answer: 42:55
Explanation: Branch B approvals = 600 × 70% = 420. Branch E approvals = 1,000 × 55% = 550. Ratio = 420:550 = 42:55 after dividing both terms by 10.
Question 43 · Hard
Using the same data, if the average loan amount disbursed for each approved application is ₹1.5 lakh at Branch A and ₹1.6 lakh at Branch D, what is the total amount disbursed at these two branches?
DI Data: Branch A—800 applications, 65% approved, average ₹1.5 lakh per approved loan; Branch B—600, 70%, ₹1.8 lakh; Branch C—900, 60%, ₹1.4 lakh; Branch D—750, 72%, ₹1.6 lakh; Branch E—1,000, 55%, ₹1.2 lakh.उसी तालिका के आधार पर, यदि शाखा A में प्रत्येक स्वीकृत आवेदन पर औसत ऋण ₹1.5 लाख और शाखा D में ₹1.6 लाख है, तो इन दोनों शाखाओं में कुल कितनी राशि वितरित की गई?
DI डेटा: शाखा A—800 आवेदन, 65% स्वीकृत, प्रति स्वीकृत ऋण औसत ₹1.5 लाख; B—600, 70%, ₹1.8 लाख; C—900, 60%, ₹1.4 लाख; D—750, 72%, ₹1.6 लाख; E—1,000, 55%, ₹1.2 लाख।
Correct answer: ₹16.44 crore
Explanation: A has 520 approved applications, so amount disbursed = 520 × ₹1.5 lakh = ₹780 lakh. D has 750 × 72% = 540 approved applications, so amount = 540 × ₹1.6 lakh = ₹864 lakh. Total = ₹1,644 lakh = ₹16.44 crore.
Question 44 · Hard
The table below shows the number of loan applications received and the approval percentage at five branches. How many applications were approved at Branches A and C together?
DI Data: Branch A—800 applications, 65% approved, average ₹1.5 lakh per approved loan; Branch B—600, 70%, ₹1.8 lakh; Branch C—900, 60%, ₹1.4 lakh; Branch D—750, 72%, ₹1.6 lakh; Branch E—1,000, 55%, ₹1.2 lakh.नीचे दी गई तालिका पाँच शाखाओं में प्राप्त ऋण आवेदनों और स्वीकृति प्रतिशत को दर्शाती है। शाखा A और C में मिलाकर कितने आवेदन स्वीकृत हुए?
DI डेटा: शाखा A—800 आवेदन, 65% स्वीकृत, प्रति स्वीकृत ऋण औसत ₹1.5 लाख; B—600, 70%, ₹1.8 लाख; C—900, 60%, ₹1.4 लाख; D—750, 72%, ₹1.6 लाख; E—1,000, 55%, ₹1.2 लाख।
Correct answer: 1,060
Explanation: Branch A: 800 × 65% = 520 approved applications. Branch C: 900 × 60% = 540 approved applications. Therefore, total approved at A and C = 520 + 540 = 1,060.
Question 45 · Hard
Find the missing number in the series: 3, 8, 27, 112, 565, ?श्रृंखला में लुप्त संख्या ज्ञात कीजिए: 3, 8, 27, 112, 565, ?
Correct answer: 3,396
Explanation: The pattern is: ×2+2, ×3+3, ×4+4, ×5+5, ×6+6. Thus 565 × 6 + 6 = 3,396. Therefore, the missing number is 3,396.
Question 46 · Hard
For the following equations, determine the relationship between x and y: x² − 17x + 72 = 0 and y² − 19y + 90 = 0.निम्न समीकरणों के लिए x और y के बीच संबंध ज्ञात कीजिए: x² − 17x + 72 = 0 तथा y² − 19y + 90 = 0।
Correct answer: x ≤ y
Explanation: x² − 17x + 72 = (x−8)(x−9), so x = 8 or 9. y² − 19y + 90 = (y−9)(y−10), so y = 9 or 10. In every possible case, x ≤ y. Therefore, the correct relationship is x ≤ y.
Question 47 · Hard
The difference between the compound interest and simple interest on a sum for 2 years at 12% per annum is ₹144. What will be the compound interest on the same principal for 2 years at the same rate?किसी राशि पर 12% वार्षिक दर से 2 वर्षों के लिए चक्रवृद्धि ब्याज और साधारण ब्याज का अंतर ₹144 है। उसी मूलधन पर उसी दर से 2 वर्षों का चक्रवृद्धि ब्याज कितना होगा?
Correct answer: ₹2,544
Explanation: For 2 years, CI − SI = P(r/100)^2. Thus 144 = P(12/100)^2 = 0.0144P, giving P = ₹10,000. CI for 2 years = P[(1.12)^2 − 1] = 10,000(1.2544 − 1) = ₹2,544.
Question 48 · Hard
A vessel contains 50 litres of a milk-water mixture in the ratio 7:3. A certain quantity of the mixture is removed and the same quantity of water is added. The new ratio of milk to water becomes 3:2. How many litres of the mixture were removed?एक बर्तन में 50 लीटर दूध-पानी का मिश्रण 7:3 के अनुपात में है। मिश्रण की कुछ मात्रा निकालकर उतनी ही मात्रा में पानी मिला दिया जाता है। नया दूध-पानी अनुपात 3:2 हो जाता है। मिश्रण की कितनी मात्रा निकाली गई?
Correct answer: 50/7 litres
Explanation: Initially, milk = 35 L and water = 15 L. Let x litres of mixture be removed. Milk removed = 7x/10 and water removed = 3x/10. After removal and addition of x litres water: milk = 35 − 7x/10; water = 15 − 3x/10 + x = 15 + 7x/10. Given the new ratio is 3:2: (35 − 7x/10)/(15 + 7x/10) = 3/2. Hence 70 − 7x/5 = 45 + 21x/10, giving 250 = 49x/5 and x = 50/7 litres.
Question 49 · Hard
A can complete a work in 24 days and B can complete the same work in 36 days. They work together for 6 days, after which A leaves. In how many more days will B complete the remaining work?A किसी कार्य को 24 दिनों में और B उसी कार्य को 36 दिनों में पूरा कर सकता है। दोनों 6 दिनों तक साथ काम करते हैं, जिसके बाद A काम छोड़ देता है। शेष कार्य को B अकेले कितने और दिनों में पूरा करेगा?
Correct answer: 21 days
Explanation: A's one-day work = 1/24 and B's = 1/36. Together, their one-day work = 1/24 + 1/36 = 5/72. In 6 days they complete 30/72 = 5/12 of the work. Remaining work = 1 − 5/12 = 7/12. B alone completes 1/36 per day, so required time = (7/12) ÷ (1/36) = 21 days.
Question 50 · Hard
A shopkeeper marks an article 50% above its cost price and allows two successive discounts of 20% and 10%. If the selling price is ₹2,592, what is the profit percentage earned by the shopkeeper?एक दुकानदार किसी वस्तु का अंकित मूल्य उसके क्रय मूल्य से 50% अधिक रखता है और क्रमशः 20% तथा 10% की दो छूट देता है। यदि विक्रय मूल्य ₹2,592 है, तो दुकानदार का लाभ प्रतिशत कितना है?
Correct answer: 8%
Explanation: Let the cost price be CP. Marked price = 1.5CP. After successive discounts of 20% and 10%, SP = 1.5CP × 0.80 × 0.90 = 1.08CP. Since SP = ₹2,592, CP = 2,592/1.08 = ₹2,400. Profit = 2,592 − 2,400 = ₹192. Profit% = (192/2,400)×100 = 8%.
