MCQs for Banking

141

Arithmetic • Profit and Loss

प्रिया ने 30 लीटर शहद ₹50 प्रति लीटर तथा 20 लीटर शहद ₹55 प्रति लीटर की दर से खरीदा। दोनों को मिलाकर पूरे मिश्रण को ₹54 प्रति लीटर की दर से बेच दिया। उसे कुल कितना लाभ अथवा हानि हुई? Priya purchased 30 litres of honey at ₹50 per litre and 20 litres at ₹55 per litre. She combined both quantities and sold the entire mixture at ₹54 per litre. What was her total profit or loss?

A. ₹60 की हानि Loss of ₹60 B. ₹100 का लाभ Profit of ₹100 C. ₹120 का लाभ Profit of ₹120 D. ₹120 की हानि Loss of ₹120

सही उत्तर: B Correct Answer: B

कुल क्रय मूल्य = 30 × ₹50 + 20 × ₹55 = ₹2,600। कुल विक्रय मूल्य = 50 × ₹54 = ₹2,700। अतः लाभ = ₹2,700 − ₹2,600 = ₹100।

Total cost price = 30 × ₹50 + 20 × ₹55 = ₹2,600. Total selling price = 50 × ₹54 = ₹2,700. Therefore, the profit is ₹100.

142

Arithmetic • Compound Interest

चक्रवृद्धि ब्याज पर एक धनराशि 2 वर्षों में ₹7,200 और 3 वर्षों में ₹8,640 हो जाती है। मूलधन कितना था? A sum becomes ₹7,200 in 2 years and ₹8,640 in 3 years at compound interest. What was the original principal?

A. ₹4,800 ₹4,800 B. ₹5,000 ₹5,000 C. ₹5,200 ₹5,200 D. ₹5,500 ₹5,500

सही उत्तर: B Correct Answer: B

एक वर्ष का वृद्धि गुणक = 8640/7200 = 1.2, इसलिए ब्याज दर 20% है। मूलधन = 7200/(1.2)² = 7200/1.44 = ₹5,000।

The annual growth factor is 8640/7200 = 1.2, so the interest rate is 20%. The principal is 7200/(1.2)² = ₹5,000.

143

Arithmetic • Speed Time and Distance

एक एक्सप्रेस ट्रेन 200 किमी/घंटा की औसत गति से एक निश्चित दूरी 40 मिनट में तय करती है। निर्माण कार्य के कारण मार्ग बदलने से दूरी 25% बढ़ जाती है। यदि ट्रेन को 40 मिनट में ही गंतव्य तक पहुँचना हो, तो उसकी नई औसत गति कितनी होनी चाहिए? An express train covers a fixed distance in 40 minutes at an average speed of 200 km/h. Due to construction work, the distance increases by 25%. If the train must still arrive in 40 minutes, what should its new average speed be?

A. 250 किमी/घंटा 250 km/h B. 260 किमी/घंटा 260 km/h C. 270 किमी/घंटा 270 km/h D. 280 किमी/घंटा 280 km/h

सही उत्तर: A Correct Answer: A

समय समान रहने पर गति दूरी के समान अनुपात में बढ़ेगी। नई दूरी पुरानी दूरी की 125% है, इसलिए नई गति = 200 × 125/100 = 250 किमी/घंटा।

When time remains unchanged, speed increases in the same proportion as distance. The new distance is 125% of the original, so the required speed is 200 × 1.25 = 250 km/h.

144

Geometry and Mensuration • Area of Circle

एक वृत्ताकार बगीचे की त्रिज्या 28 सेमी है। यदि उसके 80% भाग पर खेती की जाती है, तो बगीचे के शेष बिना खेती वाले भाग का क्षेत्रफल कितना है? A circular garden has a radius of 28 cm. If 80% of it is cultivated, what is the area of the garden remaining uncultivated?

A. 193.6 सेमी² 193.6 cm² B. 246.4 सेमी² 246.4 cm² C. 492.8 सेमी² 492.8 cm² D. 615.4 सेमी² 615.4 cm²

सही उत्तर: C Correct Answer: C

बगीचे का कुल क्षेत्रफल = 22/7 × 28 × 28 = 2464 सेमी²। बिना खेती वाला भाग 20% है। अतः क्षेत्रफल = 2464 × 20/100 = 492.8 सेमी²।

The total area is 22/7 × 28 × 28 = 2464 cm². The uncultivated portion is 20%, so its area is 2464 × 20/100 = 492.8 cm².

145

Arithmetic • Speed Time and Distance

दो मोटरसाइकिल M और N, 480 किमी की दूरी पर स्थित बिंदुओं से चलना शुरू करती हैं। विपरीत दिशाओं में एक-दूसरे की ओर चलने पर वे 5 घंटे में मिलती हैं और समान दिशा में चलने पर 15 घंटे में मिलती हैं। यदि M तेज मोटरसाइकिल है, तो उसकी गति कितनी है? Two motorcycles, M and N, start from points 480 km apart. If they move towards each other, they meet in 5 hours. If they move in the same direction, they meet in 15 hours. What is the speed of motorcycle M, assuming M is faster?

A. 55 किमी/घंटा 55 km/h B. 64 किमी/घंटा 64 km/h C. 70 किमी/घंटा 70 km/h D. 80 किमी/घंटा 80 km/h

सही उत्तर: B Correct Answer: B

दोनों की गति का योग = 480/5 = 96 किमी/घंटा तथा अंतर = 480/15 = 32 किमी/घंटा। तेज मोटरसाइकिल M की गति = (96 + 32)/2 = 64 किमी/घंटा।

The sum of their speeds is 480/5 = 96 km/h and their difference is 480/15 = 32 km/h. Therefore, M's speed is (96 + 32)/2 = 64 km/h.

146

Arithmetic • Mixture and Alligation

₹80 प्रति किलोग्राम और ₹160 प्रति किलोग्राम मूल्य वाले दो मसालों को मिलाया जाता है। मिश्रण को ₹140 प्रति किलोग्राम में बेचने पर 25% लाभ होता है। मिश्रण में दोनों मसालों का अनुपात क्या है? Two spices priced at ₹80 per kg and ₹160 per kg are blended. They are sold at ₹140 per kg at a profit of 25%. What is the ratio of the two spices in the mixture?

A. 3 : 2 3 : 2 B. 2 : 1 2 : 1 C. 1 : 2 1 : 2 D. 3 : 1 3 : 1

सही उत्तर: A Correct Answer: A

मिश्रण का क्रय मूल्य = ₹140/1.25 = ₹112 प्रति किलोग्राम। मिश्रण नियम के अनुसार सस्ते और महँगे मसाले का अनुपात = (160 − 112) : (112 − 80) = 48 : 32 = 3 : 2।

The cost price of the mixture is ₹140/1.25 = ₹112 per kg. By alligation, the ratio of the cheaper spice to the dearer spice is (160 − 112) : (112 − 80) = 3 : 2.

147

Arithmetic • Time and Work

X किसी कार्य को 12 दिनों में और Y उसी कार्य को 18 दिनों में पूरा कर सकता है। यदि दोनों मिलकर 3 दिनों तक काम करें, तो कार्य का कितना भाग शेष रहेगा? X can complete a task in 12 days, while Y can complete it in 18 days. If they work together for 3 days, what fraction of the work will remain?

A. 1/3 1/3 B. 5/12 5/12 C. 7/12 7/12 D. 9/12 9/12

सही उत्तर: C Correct Answer: C

दोनों की एक दिन की कार्यक्षमता = 1/12 + 1/18 = 5/36। तीन दिनों में किया गया कार्य = 15/36 = 5/12। अतः शेष कार्य = 1 − 5/12 = 7/12।

Their combined one-day work is 1/12 + 1/18 = 5/36. In three days they complete 5/12 of the work, leaving 1 − 5/12 = 7/12.

148

Arithmetic • Pipes and Cisterns

तीन पंप A, B और C किसी जलाशय को क्रमशः 5 घंटे, 7 घंटे और 10 घंटे में भर सकते हैं। तीनों पंपों को एक साथ खोला जाता है और वे 1.5 घंटे तक चलते हैं। इसके बाद पंप C बंद कर दिया जाता है। शेष जलाशय को भरने में कितना अतिरिक्त समय लगेगा? Three pumps A, B and C can fill a reservoir in 5 hours, 7 hours and 10 hours respectively. All three operate together for 1.5 hours before pump C is closed. How much additional time will be required to fill the reservoir?

A. 1/2 घंटा 1/2 hour B. 43/25 घंटे 43/25 hours C. 47/48 घंटा 47/48 hour D. 45/41 घंटे 45/41 hours

सही उत्तर: C Correct Answer: C

तीनों की संयुक्त दर = 1/5 + 1/7 + 1/10 = 31/70। 1.5 घंटे में भरा भाग = 31/70 × 3/2 = 93/140। शेष भाग = 47/140। A और B की संयुक्त दर = 1/5 + 1/7 = 12/35। आवश्यक समय = 47/140 ÷ 12/35 = 47/48 घंटा।

The combined rate of all three pumps is 31/70. In 1.5 hours they fill 93/140, leaving 47/140. The combined rate of A and B is 12/35, so the additional time is 47/140 ÷ 12/35 = 47/48 hour.

149

English Language and Comprehension • Sentence Rearrangement

Rearrange the following sentences to form a coherent paragraph: 1. It is a process that involves systematic and objective examination of a subject to uncover new facts or verify existing ones. 2. Research serves as a fundamental pillar of academic and scientific advancement. 3. This may be either theoretical, intended to broaden knowledge, or applied, designed to address a practical problem. 4. The results of this investigation are then recorded and peer-reviewed to ensure validity and credibility. Rearrange the following sentences to form a coherent paragraph: 1. It is a process that involves systematic and objective examination of a subject to uncover new facts or verify existing ones. 2. Research serves as a fundamental pillar of academic and scientific advancement. 3. This may be either theoretical, intended to broaden knowledge, or applied, designed to address a practical problem. 4. The results of this investigation are then recorded and peer-reviewed to ensure validity and credibility.

A. 2, 1, 3, 4 2, 1, 3, 4 B. 1, 2, 4, 3 1, 2, 4, 3 C. 4, 3, 2, 1 4, 3, 2, 1 D. 3, 4, 1, 2 3, 4, 1, 2

सही उत्तर: A Correct Answer: A

Sentence 2 introduces research. Sentence 1 explains its meaning, sentence 3 describes its types, and sentence 4 explains what happens to the results. Therefore, the correct order is 2, 1, 3, 4.

150

English Language and Comprehension • Direct and Indirect Speech

Choose the option that most accurately converts the following sentence into direct speech: He said that he would attend the meeting after the meal. Choose the option that most accurately converts the following sentence into direct speech: He said that he would attend the meeting after the meal.

A. “I will attend the meeting after the meal,” he said. “I will attend the meeting after the meal,” he said. B. “I would attend the meeting after the meal,” he said. “I would attend the meeting after the meal,” he said. C. “I shall attend the meeting after the meal,” he said. “I shall attend the meeting after the meal,” he said. D. “I can attend the meeting after the meal,” he said. “I can attend the meeting after the meal,” he said.

सही उत्तर: A Correct Answer: A

When converted back into direct speech, “he” changes to “I” and “would” changes back to “will.” Therefore, option A is correct.

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