0% 43 Math MCQs Join MCQ Series 4000+MCQ & Mock Test 1 / 20 1. A alone can complete a work in 12 days. A and B together can complete it in 8 days. How long will B alone take to complete the work ? A अकेले किसी कार्य को 12 दिनों में पूरा कर सकता है। A और B मिलकर इसे 8 दिनों में पूरा कर सकते हैं। B अकेले कार्य पूरा करने में कितना समय लेगा? A) 24 days B) 26 days C) 23 days D) 28 days Total work = LCM of 12 and 8 = 24 ⇒ Total work = 24 units In 1 day A can do 24/12 = 2 unit work In 1 day A & B together can do 24/8 = 3 unit work ⇒ In 1 day B can do (3 - 2) = 1 unit work ⇒ To complete 24 unit work B alone will take 24/1 = 24 days ∴ B will finish the work in 24 days. Correct answer! 🎉 Well done! 2 / 20 2. The cost of 10 rings is equal to Rs 100. Find the maximum number of rings Sonia can buy if she has Rs 70? 10 अंगूठियों की कीमत 100 रुपये के बराबर है। यदि सोनिया के पास 70 रुपये हैं तो अधिकतम संख्या में अंगूठियां खरीद सकती हैं? A) 9 rings. B) 7 rings C) 10 rings. D) 12 rings If 10 rings cost Rs 100, then 1 ring costs Rs 10. With Rs 70, Sonia can buy 70/10 = 7 rings. Therefore, Sonia can buy a maximum of 7 rings. Correct answer! 🎉 Well done! 3 / 20 3. Average weight of 25 students of a class is 50 kg. If the weight of the class teacher is included, the average is increased by 1 kg. The weight of the teacher is ? एक कक्षा के 25 छात्रों का औसत वजन 50 किलोग्राम है। यदि कक्षा शिक्षक का वजन शामिल किया जाता है, तो औसत 1 किलो बढ़ जाता है। शिक्षक का वजन कितना है? A) 76 kg B) 77 kg C) 74 kg D) 75 kg Total weight of 25 students = 25 * 50 = 1250 kg Total number of people (students + teacher) = 26 New average weight = 50 + 1 = 51 kg Total weight of 26 people = 26 * 51 = 1326 kg Weight of the teacher = Total weight of 26 people - Total weight of 25 students = 1326 - 1250 = 76 kg So, the weight of the teacher is 76 kg. Correct answer! 🎉 Well done! 4 / 20 If 12% of a number is 48, what is 8% of the same number? 4. यदि किसी संख्या का 12% 48 है, तो उसी संख्या का 8% क्या है? A) 32 B) 36 C) 40 D) 44 First, let's find the total number. If 12% is 48, then 1% is 48 ÷ 12 = 4. To find 100% (the total number), we multiply 1% by 100: 4 * 100 = 400. Now, we can find 8% of the total number. 8% of 400 is 400 * 0.08 = 32. So, 8% of the number is 32. Correct answer! 🎉 Well done! 5 / 20 An athlete runs at a speed of 15 m/s. How long will it take to cover a distance of 750 meters? 5. एक एथलीट 15 मीटर प्रति सेकंड की गति से दौड़ता है। 750 मीटर की दूरी को कब तक कवर करेगा? A) 45 seconds B) 50 seconds C) 55 seconds D) 60 seconds Time = Distance / Speed Distance = 750 meters Speed = 15 m/s So, Time = 750 meters / 15 m/s = 50 seconds Therefore, the athlete will take 50 seconds to cover a distance of 750 meters. Correct answer! 🎉 Well done! 6 / 20 A person walks at a speed of 6 km/h for the first half of a journey and 8 km/h for the second half. If the total distance is 48 km, what is the total time taken? 6. एक व्यक्ति अपनी यात्रा के पहले हिस्से में 6 किलोमीटर प्रति घंटा की गति से चलता है और दूसरे हिस्से में 8 किलोमीटर प्रति घंटा की गति से। कुल दूरी 48 किलोमीटर है, कुल समय क्या होगा? A) 6 hours B) 7 hours C) 8 hours D) 9 hours First, let's divide the journey into two halves. Since the total distance is 48 km, each half is 48 km / 2 = 24 km. Now, let's calculate the time taken for each half. For the first half, time = distance / speed = 24 km / 6 km/h = 4 hours. For the second half, time = distance / speed = 24 km / 8 km/h = 3 hours. Finally, let's add the time taken for both halves. Total time = time for first half + time for second half = 4 hours + 3 hours = 7 hours. Therefore, the total time taken is 7 hours. Correct answer! 🎉 Well done! 7 / 20 If 35% of a number is 140, what is 70% of the same number? 7. यदि किसी संख्या का 35% 140 है, तो उसी संख्या का 70% क्या है? A) 240 B) 280 C) 320 D) 360 First, let's find the total number. If 35% is 140, then 1% is 140 ÷ 35 = 4. To find 100% (the total number), we multiply 1% by 100: 4 * 100 = 400. Now, we can find 70% of the total number. 70% of 400 is 400 * 0.70 = 280. So, 70% of the number is 280. Correct answer! 🎉 Well done! 8 / 20 8. The average per day income of A, B and C is 450. If the average per day income of A and B be 400 and that of B and C be 430, the per day income of B is ? A, B और C की प्रतिदिन औसत आय 450 है। यदि A और B की औसत प्रतिदिन आय 400 है और B और C की प्रतिदिन औसत आय 430 है, तो B की प्रतिदिन आय है? A) 410 B) 310 C) 354 D) 600 From the given information, we can form the following equations: (A + B + C) / 3 = 450 (A + B) / 2 = 400 (B + C) / 2 = 430 From equation 1, we get: A + B + C = 1350 From equation 2, we get: A + B = 800 From equation 3, we get: B + C = 860 Now, subtract equation 2 from equation 1: C = 550 Substitute C = 550 in equation 3: B + 550 = 860 B = 310 Therefore, the per day income of B is ₹310. Correct answer! 🎉 Well done! 9 / 20 9. A woman borrowed a sum of money from a bank at the rate of 10% per annum simple interest. After 5 years, she had to pay 4,000 as interest only for the period. What was the principal amount borrowed by her? एक महिला ने एक बैंक से 10% वार्षिक साधारण ब्याज की दर पर धनराशि उधार ली। 5 वर्षों के बाद, उसे केवल अवधि के लिए ब्याज के रूप में 4,000 का भुगतान करना पड़ा। उसके द्वारा उधार ली गई मूल राशि क्या थी? A) 8000 B) 7000 C) 5500 D) 1200 Given: Interest (I) = ₹4000 Rate of Interest (R) = 10% per annum Time (T) = 5 years Formula: Simple Interest (I) = (Principal (P) × Rate (R) × Time (T)) / 100 Solution: 4000 = (P × 10 × 5) / 100 4000 = 0.5P P = 8000 Therefore, the principal amount borrowed is ₹8,000. Correct answer! 🎉 Well done! 10 / 20 A cyclist covers a distance of 90 km in 6 hours. What is the average speed? 10. एक साइकिलिस्ट 6 घंटे में 90 किलोमीटर की दूरी को कवर करता है। औसत गति क्या है? A) 12 km/h B) 15 km/h C) 18 km/h D) 20 km/h Average Speed = Distance / Time Distance = 90 km Time = 6 hours So, Average Speed = 90 km / 6 hours = 15 km/h Therefore, the average speed of the cyclist is 15 kilometers per hour. Correct answer! 🎉 Well done! 11 / 20 A motorbike travels at a speed of 40 km/h. If it travels for 3 hours, how far does it go? 11. एक मोटरबाइक 40 किलोमीटर प्रति घंटा की गति से चलती है। यदि यह 3 घंटे के लिए चलती है, तो यह कितनी दूरी तय करेगी? A) 90 km B) 120 km C) 150 km D) 180 km Distance = Speed × Time Speed = 40 km/h Time = 3 hours So, Distance = 40 km/h × 3 hours = 120 km Therefore, the motorbike travels 120 kilometers. Correct answer! 🎉 Well done! 12 / 20 12. 7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days ? 7 आदमी एक काम को 12 दिनों में पूरा कर सकते हैं। 8 दिनों में दोगुना काम पूरा करने के लिए कितने अतिरिक्त आदमियों की आवश्यकता होगी? A) 16 B) 14 C) 18 D) 8 Let's break down the problem step-by-step: 1. Total work: 7 men can complete the work in 12 days. So, the total work = 7 men * 12 days = 84 man-days. 2. Double the work: Double the work = 84 * 2 = 168 man-days. 3. Required days: We want to complete this double work in 8 days. 4. Required men: To find the required number of men, we divide the total work by the required days: Required men = 168 man-days / 8 days = 21 men. 5. Additional men required: We already have 7 men. So, additional men needed = 21 - 7 = 14 men. Therefore, 14 additional men will be required to complete double the work in 8 days. Correct answer! 🎉 Well done! 13 / 20 If 40% of a quantity is 120, what is 60% of the same quantity? 13. यदि किसी मात्रा का 40% 120 है, तो उसी मात्रा का 60% क्या है? A) 140 B) 160 C) 180 D) 200 First, let's find the total quantity. If 40% is 120, then 1% is 120 ÷ 40 = 3. To find 100% (the total quantity), we multiply 1% by 100: 3 * 100 = 300. Now, we can find 60% of the total quantity. 60% of 300 is 300 * 0.60 = 180. So, 60% of the quantity is 180. Correct answer! 🎉 Well done! 14 / 20 14. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched 72 more. The sum is ? एक राशि को 2 वर्षों के लिए एक निश्चित दर पर साधारण ब्याज पर निवेश किया गया था। अगर इसे 3% अधिक दर पर निवेश किया गया होता, तो यह ₹72 अधिक प्राप्त करता। वह राशि कितनी है? A) 1200 B) 1500 C) 1600 D) 1800 In two years extra rate% Extra amount=72(Given) According to the question 6%=of sum=72 1% of sum=72/6 Sum=72/6×100=1200 Correct answer! 🎉 Well done! 15 / 20 15. A shopkeeper offers a discount of 10% on his articles. The marked price of the article is 450. The selling price should be ? एक दुकानदार अपनी वस्तुओं पर 10% की छूट देता है। वस्तु का अंकित मूल्य 450 है। विक्रय मूल्य होना चाहिए? A) 395 B) 400 C) 410 D) 405 Calculate the discount amount: Discount = 10% of 450 Discount = (10/100) * 450 = 45 Calculate the selling price: Selling Price = Marked Price - Discount Selling Price = 450 - 45 = 405 Therefore, the selling price of the article should be Rs. 405. Correct answer! 🎉 Well done! 16 / 20 16. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is? 20 वस्तुओं के क्रय मूल्य x वस्तुओं के विक्रय मूल्य के समान है। यदि लाभ 25% है, तो x का मान क्या है? A) 14 B) 18 C) 16 D) 20 Given: Profit = 25% C.P of 20 articles is equal to the S.P of x articles Where, C.P = Cost price, S.P = Selling price Formula used: Profit% = [(S.P – C.P)/ C.P] × 100 Calculation: C.P × 20 = S.P × x S.P/C.P = 20/x Profit % = [(20 – x)/x] × 100 ⇒ 2000 – 100x = 25x ⇒ 125x = 2000 ∴ The value of ‘x’ is 16. Correct answer! 🎉 Well done! 17 / 20 A student scored 60% in English and 70% in Hindi. What is the average percentage score? 17. एक छात्र ने अंग्रेजी में 60% और हिंदी में 70% प्राप्त किया। औसत प्रतिशत स्कोर क्या है? A) 65 B) 66 C) 67 D) 68 To find the average percentage, we add the two percentages and divide by 2: (60% + 70%) / 2 = 130% / 2 = 65% So, the average percentage score is 65%. 18 / 20 18. A car completes a journey in 10 hours. If it covers half of the journey at 40 kmph and the remaining half at 60 kmph, the distance covered by car is ? एक कार 10 घंटे में एक यात्रा पूरी करती है। यदि यह आधी यात्रा 40 किमी प्रति घंटे की गति से और शेष आधी यात्रा 60 किमी प्रति घंटे की गति से तय करती है, तो कार द्वारा तय की गई दूरी है? A) 280 km B) 480 km C) 350 km D) 780 km Time taken for the first half: Distance = x/2 km Speed = 40 km/h Time = Distance/Speed = (x/2)/40 = x/80 hours Time taken for the second half: Distance = x/2 km Speed = 60 km/h Time = Distance/Speed = (x/2)/60 = x/120 hours Total time: Total time = Time for first half + Time for second half 10 = x/80 + x/120 Solving for x: Find the common denominator (240) and combine the fractions: 10 = (3x + 2x)/240 10 = 5x/240 5x = 2400 x = 480 km Therefore, the total distance traveled is 480 km. Correct answer! 🎉 Well done! 19 / 20 If 25% of a number is 50, what is 5% of that number? 19. यदि किसी संख्या का 25%, 50 है, तो उस संख्या का 5% क्या है? A) 20 B) 10 C) 30 D) 35 First, let's find the total number. If 25% is 50, then 1% is 50 ÷ 25 = 2. To find 100% (the total number), we multiply 1% by 100: 2 * 100 = 200. Now, we can find 5% of the total number. 5% of 200 is 200 * 0.05 = 10. So, 5% of the number is 10. Correct answer! 🎉 Well done! 20 / 20 If 20% of a quantity is 30, what is 25% of the same quantity? 20. यदि किसी मात्रा का 20%, 30 है, तो उसी मात्रा का 25% क्या है? A) 35 B) 40 C) 37.5 D) 50 First, let's find the total quantity. If 20% is 30, then 1% is 30 ÷ 20 = 1.5. To find 100% (the total quantity), we multiply 1% by 100: 1.5 * 100 = 150. Now, we can find 25% of the total quantity. 25% of 150 is 150 * 0.25 = 37.5. So, 25% of the quantity is 37.5. Your score is 0% Please click the stars to rate the quiz See review Send feedback About {{author_meta key:display_name|link:author_archive}} Use a dynamic headline element to output the post author description. 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