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MTG SOLUTION | Log245175 = a, log1715875 = b , value of , (1−𝑎𝑏)/(𝑎−𝑏) |...

Log245175 = a, log1715875 = b , then the value of , ( 1−𝑎𝑏)/(𝑎−𝑏)

(𝒍𝒐𝒈 𝒂)/(𝒃 −𝒄) = (𝒍𝒐𝒈 𝒃)/(𝒄 −𝒂) = (𝒍𝒐𝒈 𝒄)/(𝒂 −𝒃) , then 𝒂^𝒂. 𝒃^𝒃. 𝒄^𝒄

(𝒍𝒐𝒈 𝒂)/(𝒃 −𝒄) = (𝒍𝒐𝒈 𝒃)/(𝒄 −𝒂) = (𝒍𝒐𝒈 𝒄)/(𝒂 −𝒃) , then 𝒂^𝒂. 𝒃^𝒃. 𝒄^𝒄

Pipes A and B can fill a tank in 8 hours and 12 hours, respectively whereas pipe C can empty the full tank in 6 hours. A and B are opened for 3 hours and then closed and C is opened instantly. C will empty the tank in पाइप A और B किसी टैंक को क्रमशः 8 घंटे और 12 घंटे में भर सकते हैं, जबकि पाइप C पूरा टैंक 6 घंटे में खाली कर सकता है| A और B को 3 घंटे के लिए खोला जाता है और फिर बंद कर दिया जाता है तथा C को तुरंत खोल दिया जाता है| पाइप C, टैंक को कितने समय में खाली कर देगा

Pipes A and B can fill a tank in 8 hours and 12 hours, respectively whereas pipe C can empty the full tank in 6 hours. A and B are opened for 3 hours and then closed and C is opened instantly. C will empty the tank in पाइप   A  और  B  किसी टैंक को क्रमशः 8 घंटे और 12 घंटे में  भर सकते हैं, जबकि पाइप  C  पूरा टैंक 6 घंटे में खाली  कर सकता है A  और  B  को 3 घंटे के लिए खोला जाता है और  फिर बंद कर दिया जाता है तथा  C  को तुरंत खोल दिया  जाता है|  पाइप  C,  टैंक को  कितने समय में खाली कर देगा

Two pipes can fill a tank in 15 hours and 20 hours, respectively, while the third can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in दो नल एक टंकी को क्रमश: 15 घंटे और 20 घंटे में भर सकते हैं, जबकि एक तीसरा नल टंकी को 30 घंटे में खाली कर सकता है। यदि सभी नलों को एक साथ खोला जाए, तो खाली टंकी कितने समय में भर जाएगी

Two pipes can fill a tank in 15 hours and 20 hours, respectively, while the third can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in दो नल एक टंकी को क्रमश: 15 घंटे और 20 घंटे में भर सकते हैं, जबकि एक तीसरा नल टंकी को 30 घंटे में खाली कर सकता है। यदि सभी नलों को एक साथ खोला जाए, तो खाली टंकी कितने समय में भर जाएगी

Two inlet pipes can fill a cistern in 20 and 24 hours respectively and an outlet pipe can empty 160 gallon of water per hour. All the three pipes working together can fill the empty cistern in 40 hours. What is the capacity (in gallons) of the tank दो नल एक टंकी को क्रमश: 20 तथा 24 घंटे में भर सकते है और एक निकासी नल एक घंटे में 160 गैलन पानी खाली कर सकता है | एक साथ तीन नल खाली टंकी को 40 घंटे में भर सकते हैं | टंकी की क्षमता (गौलन में) कितनी है

Two inlet pipes can fill a cistern in 20 and 24 hours respectively and an outlet pipe can empty 160 gallon of water per hour. All the three pipes working together can fill the empty cistern in 40 hours. What is the capacity (in gallons) of the tank दो नल एक टंकी को क्रमश: 20 तथा 24 घंटे में भर सकते है और एक निकासी नल एक घंटे में 160 गैलन पानी खाली कर सकता है | एक साथ तीन नल खाली टंकी को 40 घंटे में भर सकते हैं | टंकी की क्षमता (गौलन में) कितनी है

A negative charge of magnitude 2 µC is moving with a speed of 3 x 10 m/s along the positive Y-axis. A magnetic field B = (0.5i -0.4k)T acts in the space. What is the magnitude and direction of electric force on the given charge?

A particle with charge +Q is moving on X-Y plane. Magnetic field existing in the region is given as B = bk. At a certain instant of time net magnetic force acting on the particle is F= Fi+2Fj. Find the instantaneous velocity of particle.

Twelve sticks, each of length one unit. are used to form an equilateral triangle. The area of the triangle is बारह छड़ें, प्रत्येक की लंबाई एक इकाई है। जिनका एक समबाहु त्रिभुज बनाने के लिए उपयोग किया जाता है। इस त्रिभुज का क्षेत्रफल क्या होगा

Rs. 8,000 is distributed among A, B and C such that they receive notes of Rs.500, Rs.200 and Rs.100 respectively. The amounts received by them are in the ratio 15 : 2 : 3. What was the ratio of the number of notes of Rs.500, Rs.200 and Rs.100 8,000 रुपये A,B और C के बीच इस तरह वितरित किए जाते हैं, कि उन्हें क्रमशः 500 रुपये,200 और 100 रुपये के नोट मिलते हैं। उनके द्वारा प्राप्त राशि 15:2:3 के अनुपात में है। 500 रुपये,200 रुपये और 100 रुपये के नोटों की संख्या का अनुपात कितना था

A regular hexagon is inscribed in a circle. What is the ratio of the area of the circle to that of its portion not covered by the hexagon एक नियमित षट्भुज एक वृत्त में बनाया गया है। वृत्त के क्षेत्रफल और उस भाग का क्षेत्रफल जिसे षट्भुज द्वारा अच्छादित नहीं किया गया है, का अनुपात ज्ञात कीजिये?

Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number दो संख्याएँ किसी तीसरी संख्या से 40% और 80% कम है | दूसरी संख्या को कितने प्रतिशत तक बढ़ाया जाए कि यह पहली संख्या के बराबर हो जाए

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From a class of 24 boys, a boy, aged 10 years, leaves the class and in his place a new boy is admitted. As a result the average age of the class is increased by 2 months. What is the age of the new boy 

From a class of 24 boys, a boy, aged 10 years, leaves the class and in his place a new boy is admitted. As a result the average age of the class is increased by 2 months. What is the age of the new boy  24 लड़कों की एक कक्षा में से 10 वर्ष आयु वाला एक लड़का कक्षा छोड़कर चला जाता है तथा उसके स्थान पर एक नए लड़के को कक्षा में दाखिल किया जाता है। परिणामस्वरूप कक्षा की औसत आयु 2 माह बढ़ जाती है नए दाखिल होने वाले लड़के की आयु है

Two men start-together from the someplace in the same direction to go round a circular path. lf one takes 10 minutes and the other takes 15 minutes to make one complete round they will meet after

दो आदमी एक ही स्थान से एकसाथ एक ही दिशा में एकवृत्तीय मार्ग का चक्कर लगाने के लिए रवाना होते हैं, यदि पूरा चक्कर लगाने में उन में से एक 10 मिनट तथा दूसरा 15 मिनट लेता है, तो वे कितने समय बाद परस्पर मिलेंगे ? Two men start-together from the someplace in the same direction to go round a circular path. lf one takes 10 minutes and the other takes 15 minutes to make one complete round they will meet after

If the student of 9th class are arranged in rows of 6,8,12 or 16 and no student is left behind .Then possible no. of student in the same is​

यदि नौवीं कक्षा के छात्रों की 6, 8, 12 या 16 की पंक्तियाँ बनाई जाती हैं, तो कोई भी छात्र छूटता नहीं है। तदनुसार, उस कक्षा में छात्रों की कुल सम्भावित संख्या कितनी है ? If the student of 9th class are arranged in rows of 6,8,12 or 16 and no student is left behind .Then possible no. of student in the same is ​ (a) 60 (b) 72 (c) 80 (d) 96

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