Dear Readers,
Mahendras has started special quizzes for IBPS PO & RRB Exam so that you can practice more and more to crack the examination. This IBPS PO & RRB Exam special quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you the important question of reasoning ability for the IBPS PO & RRB Exam.
Q-1-The difference between compound interest compounded every 6 months and simple interest after 2 years is 248.10. The rate of interest is 10 percent. Find the sum?
2 वर्ष में छमाही संयोजित होने वाले चक्रवृद्धि ब्याज और साधारण ब्याज में 248.10 है | यदि ब्याज की दर 10 प्रतिशत है , धनराशि ज्ञात कीजिये ?
1. 12000
2. 14000
3. 16000
4. 18000
5. None of these
Q-2 The average value of property of Sweta, Anushika and Anjali is Rs.130 lakhs. The Property of Sweta is 20 lakhs greater than the property value of Anushika and Anjali property value is 50 lakhs greater than the Sweta property value. The value of property of Anjali is
श्वेता, अनुषिका और अंजली की सम्पत्ति की औसत कीमत 130 लाख रु. है | श्वेता की सम्पत्ति अनुषिका की संपत्ति से 20 लाख रु. अधिक है और अंजली की सम्पत्ति श्वेता से 50 लाख रु. अधिक है | अंजली की सम्पत्ति की कीमत है?
1. Rs.130 lakhs.
2. Rs.190 lakhs.
3. Rs.180 lakhs
4. Rs.170 lakhs
5. None of these
Q-3 Maneesh invests some money in three different schemes for 4 years, 8 years and 12 years at 10%, 15% and 20% Simple Interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is:
मनीष कुछ धनराशि तीन विभिन्न योजनाओं में 4 वर्ष, 8 वर्ष और 12 वर्ष के लिए क्रमशः 10%, 15% और 20% साधारण ब्याज के लिए निवेशित करता है | प्रत्येक योजना के पूरी होने के बाद, वह समान ब्याज प्राप्त करता है | उसके निवेशों में अनुपात है :
1.4:9:8
2.6:2:1
3.3:4:5
4.4:5:7
5. None of these
Q-4 A sum of Rs.3903 is divided between Prakash and Kareena such that the share of Prakash at the end of 8 years is equal to the share of Kareena after 10 years. Find the share of Prakash if rate of interest is 4% compounded annually.
3903 रु. की एक धनराशि को प्रकाश और करीना में इस प्रकार बांटा जाता है कि 8 वर्ष के बाद प्रकाश का हिस्सा 10 वर्ष के बाद करीना के हिस्से के बराबर है | प्रकाश का हिस्सा ज्ञात कीजिये यदि ब्याज की दर 4% चक्रवृद्धि वार्षिक रूप से उप्चयित होती है |
1.2028
2.2078
3.2098
4.2038
5. None of these
Q-5 P and Q can do a piece of work in 24 and 30 days respectively. Both started the work and worked for 6 days. Then Q leaves the work and R joins and the remaining work is completed by P and R together in 11 days. Find the days in which R alone can do the work.
P और Q एक कार्य को क्रमशः 24 और 30 दिनों में पूरा कर सकते हैं | दोनों कार्य को प्रारम्भ करते हैं और 6 दिन तक कार्य करते हैं | फिर Q कार्य छोड़ देता है और R जुड़ जाता है और शेष कार्य को P और R एकसाथ 11 दिनों में पूरा करते हैं | R अकेले कार्य को कितने दिनों में पूरा कर सकता है ?
1.130
2.140
3.150
4.136
5. None of these
Q-6 Dipika found that she had made a loss of 10% while selling his smartphone. She also found that had she sold it for Rs.50 more, she would have made a profit of 5%. The initial loss was what percentage of the profit earned, had she sold the smartphone for a 5% profit ?
दीपिका ज्ञात करती है कि उसे अपना स्मार्टफोन बेचते समय 10% की हानि हुई | वह यह भी ज्ञात करती है कि यदि वह इसे 50 रु. अधिक में बेचती तो वह 5% का लाभ प्राप्त करती | प्रारम्भिक हानि प्राप्त लाभ का कितना प्रतिशत है, यदि वह स्मार्टफोन को 5% लाभ पर बेचती है ?
1.210%
2.200%
3.215%
4.205%
5. None of these
Q-7 Naimish's present age is 2/7th of his father's present age. Naimish's brother is three year older to Naimish. The respective ratio between present ages of Naimish's father and Naimish's brother is 14:5. What is the present age of Naimish?
नैमिष की वर्तमान आयु उसके पिता की वर्तमान आयु का 2/7 है | नैमिष का भाई नैमिष से 3 वर्ष बड़ा है | नैमिष के पिता और नैमिष के भाई की वर्तमान आयु में अनुपात 14 : 5 है | नैमिष की वर्तमान आयु क्या है ?
1.12 years
2.13years
3.16years
4.18years
5. None of these
Q-8 The ratio of the monthly salaries of P and Q is in the ratio 5 : 16 and that of Q and R is in the ratio 17 : 18. Find the monthly income of R if the total of their monthly salary is Rs.1,87,450.
P और Q की मासिक वेतनों में अनुपात 15 : 16 और Q और R की मासिक वेतनों में अनुपात 17 : 18 है | R की मासिक वेतन ज्ञात कीजिये यदि उनका कुल मासिक वेतन 1,87,450 रु. है |
1. Rs.66249
2. Rs.66278
3. Rs.66240
4. Rs.55234
5. None of these
Q-9 A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?
एक वृत्ताकार पिज़्ज़ा में से एक टुकड़ा इस प्रकार काटा जाता है कि प्रत्येक टुकड़ा एक 45° का एक केंद्रीय कोण बनाता है | पिज़्ज़ा के टुकड़े का क्षेत्रफल (वर्ग इंच) में की है ?
1.19.05
2.19.15
3.19.10
4.19.25
5. None of these
Q- 10 8 litres are drawn from a flask containing milk and then filled with water. The operation is performed 3 more times. The ratio of the quantity of milk left and total solution is 81/625. How much milk the flask initially holds?
8 लीटर दूध वाले एक फ्लास्क से खींचा जाता है और फिर पानी से भर दिया जाता है। ऑपरेशन 3 बार किया जाता है। बचे हुए दूध और कुल घोल की मात्रा का अनुपात 81/625 है। शुरू में फ्लास्क में कितना दूध होता है?
1. 22 litres
2.29 litres
3.20 litres
4.25 litres
5. None of these
ANSWER KEY—
Q-(1) Sol-(3)
16000
Q-(2) Sol-(4)
Property value of Anushika is Rs.x
130 × 3 = x + x + 20 + x + 20 + 50
390 = 3x + 90
3x = 300
x = 100
Anjali = 100 + 20 + 50 = 170 lakhs
माना अनुषिका की सम्पत्ति की कीमत x रु. है |
130 × 3 = x + x + 20 + x + 20 + 50
390 = 3x + 90
3x = 300
x = 100
अंजली = 100 + 20 + 50 = 170 लाख रु.
Q-(3) Sol-(2)
Let Principal = x1, x2 and x3
x1 × 4 × 10 = x2 × 8 × 15 = x3 × 12 × 20
x1 = 3 × 2 = 6 × 3
x1 : x2 = 3 : 1; x2 : x3 = 2 : 1
x1 : x2 : x3 = 6 : 2 : 1
माना मूलधन = x1, x2 और x3
x1 × 4 × 10 = x2 × 8 × 15 = x3 × 12 × 20
x1 = 3 × 2 = 6 × 3
x1 : x2 = 3 : 1; x2 : x3 = 2 : 1
x1 : x2 : x3 = 6 : 2 : 1
Q-(4) Sol-(1)
According to question,
प्रश्नानुसार,
Q-(5) Sol-(5)
Q-(6) Sol-(2)
Profit= 5%
5% of CP = Rs.50
CP = Rs.1000
Now, Loss% = 10%
Loss = Rs.100
Required % =
= 200%
लाभ = 5%
क्रय मूल्य का 5% = रु.50
क्रय मूल्य = रु.1000
अब, हानि % = 10%
हानि = Rs.100
अभीष्ट % =
= 200%
Q-(7) Sol-(1)
Naimish's father present age = x
Naimish's age =
x
Naimish's brother age =
x + 3
Naimish's age = 12 years
नैमिष के पिता की वर्तमान आयु = x
नैमिष की आयु =
x
नैमिष के भाई की आयु =
x + 3
नैमिष की आयु = 12 वर्ष
Q-(8) Sol-(3)
P : Q = 15 : 16
Q : R = 17 : 18
P : Q : R = 15 × 17 : 16 × 17 : 18 × 16
= 255 : 272 : 288
R's salary = ![](data:image/png;base64,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)
P : Q = 15 : 16
Q : R = 17 : 18
P : Q : R = 15 × 17 : 16 × 17 : 18 × 16
= 255 : 272 : 288
R का मासिक वेतन = ![](data:image/png;base64,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)
Q-(9) Sol-(4)
Area of each pizza = πr2 × ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAArCAYAAAAtxEsrAAAGrklEQVRoBe2Y20vVWRTHT14qpXyMIaKYblJ0hTKKoIea6SFIfKgBCyOzB1+UiSGEesmYoP8ggpgegkAGyulCEdRAoU1JYHahm6iZZl7SvF9yDZ9la88+Z45p53dOF2jD7+z922fttdZ3Xfc5IfmCY2RkVIaGRmTfvv0SCiXJrFk/SGtruwwPv4+bVqG4cYqBUW1tnSxalCmNjU0yOipSVvanFBf/GgOn8Y98MYBtbR2yZcvP0tvbrw8q1tU1yI4dvwiejdf4YgDPn/9LDh4sUTCEKaOy8h/ZvTtPw/abAjg0NCTDw8NO57a2Ntm8+SdpaGjUvZ6ePp2PHv1dTp36w9HFY/FZPAi49+/HCgfzhQsXJCkpRZKTU7W4TJuWJjNmZOga0IOD/xkjKMjPAnBkZCwER0dHZWBgQAoKCuTcuXKXe4C4fv1vyc3dLd3dvUExhZ1PKEALS/Meodrb2yvLly+XO3eqpK9vQJWhNRw48JuQl+Sj7YdpGuNLQgECiIHnGIODg9LX1yerV6+W5uYW9dbAwJBUV9dIdnaOtLS0yodIVvp4fCQUoIWmKYpHAV1cXCwVFbd1m144b96P0t8/aGQC6HiNhAL0lTQvsnfr1i1JT5+hRSU/v8CRdXV167qz853bC7pIGEADZLPloSlMg2dYxfwQxWGFx2iDzIEAvn37VmX39PQ4Hfy8A1yiHgS+efPGyUcOFTpyBALoMwMkXgJ0ZO75dPFamyH7+/s1r+Hb3T0W4r6MmAHCmKrIsHZgHvUFJGqNfEY0r/kyYwZoTEzA5wRnsm0mejB2tMgJBNAHZV7s7OxUubwn8kFIR0eH67G8m1cNOHMggAZq6tSpkpSUJFOmTJH58+dLKBSS5OTkhD7ImjlzpsMSLf8CA+RWwoA5IYL3LPkpOIl8qJpdXV2uDqAH75EjkAdhhhetxyGUYcAjhcX73W9PpkOkjEAAm5ubHbhIYObJd+/GbiXkhxUkioEphOdt35Sz0PcBxGq0QABNIVOWd4Dxi4FhVc1XzvYMhPGAxuiMnxkJ2pqaGs3tjIwMqa+vt2MTzjEDtAqKEqYI0szqhCuKGhDyw9b8omdgCPbwIPQW4j4f1i0tLbJ37149U1tbK1euXNH1ZD5iBghza/SEH6G4adMmtTJVtLq62gHyQxBQly9fVjroUZ6B92yf8w8ePNB9DHDx4kVpaGhQmidPnsiZM2f0u8l8BAJIuOFJvJOdnS2vXr1SmeXl5TJ79mwFbeCYAbdy5UpZtmyZhm97e7vSA/Lhw4e6X1dXp3vQVFZW6rqsrEzBtba2Sm5urlZr/WISHzEDNO+ZDL8PofjOnTvl+fPnGr6EHsZYsGCBHDp0SNeR5/Pz86WiokLZYTAiIC8vT0P+2rVrkp6erkZ7+vSpiZzUHDNAuFv++ODIOzx55MgRpwDhB7A1a9aoV/nCis3jx4/l9evXkpWVJS9evHD7eHXhwoVi+coZk2NnnYCPLAIB5KpkAy9RbAixoqIiVzD4SYO3NmzYIMeOHZNVq1bpjQdv2rh7964sXrw4rPoS+uvXr5cbN2646mr0nzLHDNBuDf7dk78DKRBcowBA8QE0BSM1NVX27NmjXscwOTk5snbtWgV17949mTt3rruJEBnwxSi3b4/9tQEo9v15MkBjBghz63eRl1yqHkBPnz6tOly9elUyMzN1bWdevnypNIB/9OiRLF26VMhdMxyhO2fOHKmqqnKtx8767WQikA7g8ePHhccfN2/elK1bt/pbbm0V0Joy/c8sjJL8sXTy5EntcVTIJUuWaP6Rj5zhFrRx40b1EGG8YsUKBwQh8CAvaQ82AGgybG+i2QGEEICFhYV65uzZs+OC85mS+Bam5JpVx9LSUvWMFQZC9v79+05BKyx4iLFt2zZXRQFy4sQJ2bVrV9gF/lM8ZzqGAWQTYISXATXCaDPKm1DzKMpRaOhXBpaCQW9ct26dNDY2atEoKSnRymp8nz17Jtu3b9dXogHAhDqDPLbQ5T0yJZRonI//AcSLABwvNKPxoTfxmzAlJUXS0tK0gEDnhxPAaRXQwf/w4cOOFYYidC13p0+fLpcuXXLfs6A1ENo8/tUwjCjKSxhAPw8/ln/GB89gTctDrmt2F8V7AOSx24yd491CF2XtFwffYwgeG01NTQ6QbzD7fqLZASQkoxUZv1/5zLA4gxDl8a2KIhZSADaA0JkBOMsZC3EMgsH84fM0Wcwm26cdb+0Ajkfwre9/B/jdg1+5Bb6H6FfuoAnV+6Y9aC2GtmRrEFuLop38CzyntOM1T1fuAAAAAElFTkSuQmCC)
प्रत्येक पिज़्ज़ा का क्षेत्रफल = πr2 × ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAArCAYAAAAtxEsrAAAGrklEQVRoBe2Y20vVWRTHT14qpXyMIaKYblJ0hTKKoIea6SFIfKgBCyOzB1+UiSGEesmYoP8ggpgegkAGyulCEdRAoU1JYHahm6iZZl7SvF9yDZ9la88+Z45p53dOF2jD7+z922fttdZ3Xfc5IfmCY2RkVIaGRmTfvv0SCiXJrFk/SGtruwwPv4+bVqG4cYqBUW1tnSxalCmNjU0yOipSVvanFBf/GgOn8Y98MYBtbR2yZcvP0tvbrw8q1tU1yI4dvwiejdf4YgDPn/9LDh4sUTCEKaOy8h/ZvTtPw/abAjg0NCTDw8NO57a2Ntm8+SdpaGjUvZ6ePp2PHv1dTp36w9HFY/FZPAi49+/HCgfzhQsXJCkpRZKTU7W4TJuWJjNmZOga0IOD/xkjKMjPAnBkZCwER0dHZWBgQAoKCuTcuXKXe4C4fv1vyc3dLd3dvUExhZ1PKEALS/Meodrb2yvLly+XO3eqpK9vQJWhNRw48JuQl+Sj7YdpGuNLQgECiIHnGIODg9LX1yerV6+W5uYW9dbAwJBUV9dIdnaOtLS0yodIVvp4fCQUoIWmKYpHAV1cXCwVFbd1m144b96P0t8/aGQC6HiNhAL0lTQvsnfr1i1JT5+hRSU/v8CRdXV167qz853bC7pIGEADZLPloSlMg2dYxfwQxWGFx2iDzIEAvn37VmX39PQ4Hfy8A1yiHgS+efPGyUcOFTpyBALoMwMkXgJ0ZO75dPFamyH7+/s1r+Hb3T0W4r6MmAHCmKrIsHZgHvUFJGqNfEY0r/kyYwZoTEzA5wRnsm0mejB2tMgJBNAHZV7s7OxUubwn8kFIR0eH67G8m1cNOHMggAZq6tSpkpSUJFOmTJH58+dLKBSS5OTkhD7ImjlzpsMSLf8CA+RWwoA5IYL3LPkpOIl8qJpdXV2uDqAH75EjkAdhhhetxyGUYcAjhcX73W9PpkOkjEAAm5ubHbhIYObJd+/GbiXkhxUkioEphOdt35Sz0PcBxGq0QABNIVOWd4Dxi4FhVc1XzvYMhPGAxuiMnxkJ2pqaGs3tjIwMqa+vt2MTzjEDtAqKEqYI0szqhCuKGhDyw9b8omdgCPbwIPQW4j4f1i0tLbJ37149U1tbK1euXNH1ZD5iBghza/SEH6G4adMmtTJVtLq62gHyQxBQly9fVjroUZ6B92yf8w8ePNB9DHDx4kVpaGhQmidPnsiZM2f0u8l8BAJIuOFJvJOdnS2vXr1SmeXl5TJ79mwFbeCYAbdy5UpZtmyZhm97e7vSA/Lhw4e6X1dXp3vQVFZW6rqsrEzBtba2Sm5urlZr/WISHzEDNO+ZDL8PofjOnTvl+fPnGr6EHsZYsGCBHDp0SNeR5/Pz86WiokLZYTAiIC8vT0P+2rVrkp6erkZ7+vSpiZzUHDNAuFv++ODIOzx55MgRpwDhB7A1a9aoV/nCis3jx4/l9evXkpWVJS9evHD7eHXhwoVi+coZk2NnnYCPLAIB5KpkAy9RbAixoqIiVzD4SYO3NmzYIMeOHZNVq1bpjQdv2rh7964sXrw4rPoS+uvXr5cbN2646mr0nzLHDNBuDf7dk78DKRBcowBA8QE0BSM1NVX27NmjXscwOTk5snbtWgV17949mTt3rruJEBnwxSi3b4/9tQEo9v15MkBjBghz63eRl1yqHkBPnz6tOly9elUyMzN1bWdevnypNIB/9OiRLF26VMhdMxyhO2fOHKmqqnKtx8767WQikA7g8ePHhccfN2/elK1bt/pbbm0V0Joy/c8sjJL8sXTy5EntcVTIJUuWaP6Rj5zhFrRx40b1EGG8YsUKBwQh8CAvaQ82AGgybG+i2QGEEICFhYV65uzZs+OC85mS+Bam5JpVx9LSUvWMFQZC9v79+05BKyx4iLFt2zZXRQFy4sQJ2bVrV9gF/lM8ZzqGAWQTYISXATXCaDPKm1DzKMpRaOhXBpaCQW9ct26dNDY2atEoKSnRymp8nz17Jtu3b9dXogHAhDqDPLbQ5T0yJZRonI//AcSLABwvNKPxoTfxmzAlJUXS0tK0gEDnhxPAaRXQwf/w4cOOFYYidC13p0+fLpcuXXLfs6A1ENo8/tUwjCjKSxhAPw8/ln/GB89gTctDrmt2F8V7AOSx24yd491CF2XtFwffYwgeG01NTQ6QbzD7fqLZASQkoxUZv1/5zLA4gxDl8a2KIhZSADaA0JkBOMsZC3EMgsH84fM0Wcwm26cdb+0Ajkfwre9/B/jdg1+5Bb6H6FfuoAnV+6Y9aC2GtmRrEFuLop38CzyntOM1T1fuAAAAAElFTkSuQmCC)
Q-(10) Sol-(3)
Final quantity = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEwAAAA7CAYAAADRsGxSAAALt0lEQVR4Ae2aR6hUTxPFnwlFMa1ciLpw486F4EJQcCGCoAsXihgQDCBGTKgoqJhQjKiIGTPmHDAgKkbMCbOYc86pP34F51LvOjO+e2cU/h+vYaZvp6rTp6qr+4aikDL9+vXLRn78+NHyr1+/hm/fvqWUlm7YmzdvIt3CQ8X379+t3uN5/fp1OiWxUUWxcqLip0+fivUH6OfPn4vV/a3C+/fvi4kWYeQ/f/4s1oYxSbS9evWqWFvSQl6E/fjxw6zpiQNsoayZazIiCAOhHyx4nLCAQ8R9+PDBruMk55KfrS01YVIugJS1FLIpK3Q9+iAFskjybhFFWThFMP3evXuXGkpqwtD45csXs6q04/r/ijSRhW6uZTjKeJpIo4yHXb9+PcydOzc8efJEcFPleREGENLbt28j5WwC2giiyr904Y2jMIARSSJMRDZq1Cj069cvbySpCdMykMsLaN6IEghQMH/8+HE0SkFdxoSwhQsXhrNnz4Y5c+ZYP2GOBiW4SE0YMQEQDRs2jGKCrOotnwBL4q7oY/k1adIkHDp0KIplwoHXXbhwIVy9ejXcvn07zJw5M7GO+ICshGnSOsvgUSw9gRk8eHBYtWpVuH//fiSzkGcxBXBwYBzhUb1yKZ8+fXqYP3++FfF2LcU2bdqEypUrhwoVKtgP3PmkrIR5oXEXXrp0aThz5kx4+PCh72abgJZJsYaUBYwzZMiQUL16dZv0wIEDf5Ok0IAx9+/fb8vPd5LBL168GEaMGGFNcbJ9/z9dl4gwxSfiwuXLl8O8efN+k4sXAN5v3791SlgxduzY0L59ezvXIXfkyJFh0KBBkZS4IVmeeNm5c+esD8cHeSYrYdasWVavVRIJSnCRlTAsI+tIAVacPHlyePHiRaQYQLJyAr1/7Erw7ty5c1i5cqX1Rcfz589Dhw4d7LRO2evVLvn06dMwYMCAYscdKcP7Hzx4oGKqPCthXposicWIWyTAikjfV57m69Jed+rUyUjDw9G3YcOGaKeTJ3OE8Tgw4IwZM8KjR49MLWXa8T6SVktaTDkJ8xZEwbZt2+zgly1OMQlNJC0gjYOIly9fhho1aoRRo0aZZwwfPtyaFYOkSznEEOxv3LgRli1bZn0zYfXnRukraZ6TMJTLelwTU1im1AkkiriO15UUwJ/6HTx4MFSpUiU0b948sNw8AZo4hhWJyGMljBs3zkRTr7Z8bomEMythAgYY3Jq4tWTJkmKneoR44ihDXNwzpSxpjpdNnDgx3Lx5MzRu3DjUrVvX7g0VWyVPh1SVCSGjR48Oz549+w2LyFPfpHlEmEAwWSYtECjHMijfsWOHyVdcEDE689Co2yLJiRNKn0x1mYATvPfu3WsewkSnTp0aOnbsGN1QZxqjOk73LE2ScCKDa81VfZPkRZDjWdeEEeJd+OTJk2HFihUmmzEkP3EFWeohNF/CwNGiRQsL9KYsBItpHETl/arPlK9bty7cvXvXmtRfxGXqX9I68zAE6nSs3QQBOj5AwPnz58Pp06dNLmWS7vxlMQGjLV/C8PCuXbuGXr16mS50nDhxIvTu3btEz9u2bt0aeZicQLhNYMq/okzbLLuTtwYexUkZLxMp8krvZQTlbt26hZYtW+ZNGPPBw1u1ahXKly8fKlWqZARiUBko15yXL19ueOkjzMwJvB5zLhmZ2qIYBvtxC0CKzmB79uwJ69evNxkiU95IDONA2KxZM5sYh8t8PcyToglKn0JCpgmpjs1iy5YtKhYsNw9TgAck13FAELl69eqwZs0aU0yZvuSaDA2MW7x4sR028yUMYyFPOhRPPZG5WBg6dKhhYbxPHq+vL+l15GEAkTDAApClqbRp06ZAINXZh3rFBsU66vbt2xdat26dt4cpVCj3E9cSE7ZM+ZQpU6JNinbGywCZ+pe0zgjjuVZRUVGoWbOmnXkYfOnSpVCtWrXQtm1b20WPHTsWrly5YnLliVKiSVHm3o84lq+HIQsZipUiTGXpzpazHDGeErJIcgrVJ82NMIHYuXOnPU7Zvn27PRWQEpap3yWxsKys5YxiiIOwnj17RkcSTZR2iOYXX/ICLS9QOVeOHBIEeAxauhs3bgwYmURfZAtLNv3W+Q9/RhhLDyE8Aqldu3Z0H8ZYkXnt2jV73uQPqbSLVBEI6dzGkBSkmRTP08uUKWObAjseHq1f1apVzUB64iDiwJTt53WbMoeVjQoPY1fPlPLxMju4eqFdunSxNyzUeXJYjixdn5igiMLKPJLZvXt36NGjh90Z0Jd2kUoZMnwcpA6jSA5l2suVK5fzV7Zs2chTeSOkJDI2b94cjh8/btWqUx+vS3UlzYsQhhvjtgT2vn372vMkJiFFtPHMnLMYyRNJWf245lamadOm1o8/bQxRhXujgw4tE9qRK9nU5/rRH7069lDWNV7JwVUeRpm+5CQfc60iwZ8tSRTduXPHCMNr+vTpY1bnBQLBH0J5MwNh3FOSNFGspUlyK8KzqHbt2oV79+5FMPAYwEKQYg+NTILxkOrrJTsSkOFCOtWELH7IQRePonRnoj6FyIs4WxFD+vfvb8SgjF2O+MINLIlJHTlyJPIw6gDmXZuDKyd8xvHCoUGDBvamhr6KTVzrdkrxjbp48uTF23zZy5V3qZ3nYYcPH1bRyPShIWpIeFHEpOMAqcNaPu3atcs2g7hl8Qad15Aj7wAcHuWXpNokl6WB96meMbpWn1w5WEQCsjQP6idNmmSBX8uQXAaOzy2XjnibLUkqta7JpQQAqieIcn9GggiACqCAePAaR3/q+Qmo2qTHhLrtnzJ9c/3kUeTC4Y05bNgwuzPxOoRP+tLkEWHxwd7zsDpBdMGCBdYtiRfE5SYpo0ekMU7LGINRD1HkJIjRGQzieOLK60C1Y6RC4M5KGCCwiKzGw0NI+1cJciBGyS9t1ZHTB+K8J1E/ZsyY6IWN+nvyVJc0z0kYwuTuPDzEYoVw66QgtfwYR6Bn4jrde6LoB4HU8cKEe99MeDWnpDjon5Mw78K84po9e3bkcWmUJR2DfkKDcOhDE7+8aNMqkHzqeGHDCxSuITgfkiSXPCdh3rI8H1+7dq0f+1eviUecAytWrBjq1asXPW7mMMoDRZ7GcrumxJL1y5YPT27duqXmaMnifVqaUWOCi5yEeQDEFJaldsQEOlJ3ZWJ4Ew8u+YiEMyN3IiQtRfrgRZTBRg7uCRMmRC9zPQA8LdMy9X1yXWclzJOFAM5L7JJ8NvQvko4e6OKuoVatWlEQBwsJjHw+oAQZEMbY8ePH264qMn0fXafJsxImt/XLkhtrbqH+VeIdAQkM3bt3t3tDEek9Haw+RrFs2aCUaJdXabzakuZZCUOQLKlrgi6Pb3zSrY73SJHt+yW91gQZh07eUXK2gijJ161RHCePybnn1U4q3cj0clWfJM9KmLegBLI0pk2bZsvSn5FoZykQqDON0/gkOUuJR9+89WaHhgC+5iFx1+G/wvEk4EF8XIcBvdfJy8CZT8pKWDahPPbla2RAAgKAAiHLq5xNRknqeQfJjTxPTkjo42se6tgE5F206SUyJC9atCh6zC494AKT8Kk+TZ6TMJQAlFxrH6vxyRPfjXoAxBndmqQBEh+jx0iq14uWuGfTLq8+evSoff+hMeRg5+eTx+3rS3KdlTCBwGpKuLmIY5vns03FCfWnr49nGps295PFeOjXhGmT/gMHDtgjKvSIVPrFd0nakZM2ZSVMnuUFxz2I0zRfMJ86dSrq5j8SjirzuCCgg0VGgDAfm1iOderUsW/IUMNSxXiQCVn8RLBg/BXCEK4jBQAEmHp2S4H2niVAhcql009Q13hR3IDyLPRDmH5xwuLlJHizehhCJFjbNmB1DRj10SSkuFAkIlchQORhKBkLfaoHj/p64oSRds1HONPkOQlLI/D/fUwpYQktXEpYKWEJGUjYvdTDSglLyEDC7qUeVkpYQgYSdi/1sEISxiff9evXL5FIXjjw6IVvYf8LKS3egniYlP+XCEtr1P8B8pLUPYyyJDwAAAAASUVORK5CYII=)
where x is the initial quantity.
अंतिम मात्रा = ![](data:image/png;base64,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)
जहाँ x प्रारम्भिक मात्रा को दर्शाता है |
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