Class 9th:
As I was sitting in the room waiting for ‘sir’ to come in, I could see the weary mathematics book lying on the table. Amit was sitting on the left grinning in his mischievous way as he always did – obnoxious moron. Next to him was Ajay, very calm and lost as usual. He, I wondered, did not know why he was where he was – sir came in.
‘Today we will just revise what was taught yesterday, linear equations. You will write a test.’
RS sir was an elderly figure; thick spectacles, a limping right leg, wearing a traditional semi sleeve brief and loosely tied pajamas. It seemed that he hardly shaved and if ever then not properly because I never saw him with a groomed and manicured face. The wrinkles all over the face depicted the immense experience in hand. If one believed in the visual perceptions, sir would never be judged a mathematical maestro, which he was.
‘The sum of digits of a number is one-seventh of the original number. Find the number (2 marks).
Next, find the number of integral solutions of the equation: x+y = x.y = xy (18 marks)
Solve. Remember, the cutoff is 50%’ he chuckled as he said the last sentence.
As soon as the questions were delivered, Amit, the eternal show off, pretended as if he already knew the answers. I knew that it was the second question that was the key and started working on it. Ajay was lost; he must have not even tried the first question, because he never looked like writing anything.
I was working on the 2nd problem:
x+y = x.y = xy
x+y = x.y
x – xy + y = 0
x – 2xy + y – xy = 0
(x - y)2 = xy
x – y = √xy
shitt .. I could not solve it, tried it ones again:
x.y = x.x.x.x …. y times
y = x.x.x.x …. y-1 times.
shitt … could not solve it.
‘Just 2 more minutes’ he said.
I jumped on the first question, to secure the miniscule 2 marks. As I completed the first question, rang the bell.
‘Time’s up, stop writing. Let’s see what you have done. Ajay? …. Ajay, I am talking to you.’ He almost shouted.
‘Yesss .. yes sir’
‘Show me your notebook …’ he almost snatched the notebook from his hands.
‘What …. What is this Aj ..’ he slapped the copy on the table. Ajay’s notebook had the following lines:
Solution 1:
21
………. Rest all blank.
Sir was furious, ‘What is this yaar Ajay, if you don’t want to study, then why wasting your father’s precious money. I wonder how such an intelligent man has sons like you and Nitesh. You are a disappointment not only for me but for your father as well. I have put a note here, get a signature here tomorrow, I want your father to see this.’
‘But sir, I …’
‘Shut up yaar, Amit show me what you have done.’
‘Ohh .. yes sir, I have solved the first question, the answer is 21’ he said that with such an authority as if it was one of the toughest problems ever encountered.
‘And for the second question I have been working on it and I think we will have to use differentiation and integration formulas which are beyond our syllabus, my elder brother in standard 12th has … ’
‘Are what differentiation and integration and your elder brothers, you both have disappointed me, cannot solve a simple logical question and working for NTSE’ NTSE stands for National Talent Search Examination.
‘What about you? … just tell me if you have solved the second question.’
‘No sir, I have not.’ I could see the disappointment on his face.
He declared the day as off and insisted that we work not only on conceptual but also on logical and observational skills. Later when we were walking back home, I took the notebook from Ajay’s hands; he had a dejected look on his face.
‘Are, koi naa yaar. The second problem was unsolvable and sir knows it’ said Amit as I nodded in agreement.
As I saw the note on Ajay’s notebook, he said ‘I have worked on the 2nd problem yaar, the answer is (2, 2).’
After a bit of silence, Amit chuckled, ‘This must be a joke man, how could you …. ’
‘Hey wait, the ordered pair (2, 2) satisfies the equations’ I interrupted, ‘Why you did not responded to sir in the class.’
‘He never listens. The anger was lesser on me but more on the failure of my elder brother Nitesh whom he taught and who could not get through. Tell me yaar Ani (that was my nick name), is a success in a competitive exam such an important parameter?’I was speechless.
As I was sitting in the room waiting for ‘sir’ to come in, I could see the weary mathematics book lying on the table. Amit was sitting on the left grinning in his mischievous way as he always did – obnoxious moron. Next to him was Ajay, very calm and lost as usual. He, I wondered, did not know why he was where he was – sir came in.
‘Today we will just revise what was taught yesterday, linear equations. You will write a test.’
RS sir was an elderly figure; thick spectacles, a limping right leg, wearing a traditional semi sleeve brief and loosely tied pajamas. It seemed that he hardly shaved and if ever then not properly because I never saw him with a groomed and manicured face. The wrinkles all over the face depicted the immense experience in hand. If one believed in the visual perceptions, sir would never be judged a mathematical maestro, which he was.
‘The sum of digits of a number is one-seventh of the original number. Find the number (2 marks).
Next, find the number of integral solutions of the equation: x+y = x.y = xy (18 marks)
Solve. Remember, the cutoff is 50%’ he chuckled as he said the last sentence.
As soon as the questions were delivered, Amit, the eternal show off, pretended as if he already knew the answers. I knew that it was the second question that was the key and started working on it. Ajay was lost; he must have not even tried the first question, because he never looked like writing anything.
I was working on the 2nd problem:
x+y = x.y = xy
x+y = x.y
x – xy + y = 0
x – 2xy + y – xy = 0
(x - y)2 = xy
x – y = √xy
shitt .. I could not solve it, tried it ones again:
x.y = x.x.x.x …. y times
y = x.x.x.x …. y-1 times.
shitt … could not solve it.
‘Just 2 more minutes’ he said.
I jumped on the first question, to secure the miniscule 2 marks. As I completed the first question, rang the bell.
‘Time’s up, stop writing. Let’s see what you have done. Ajay? …. Ajay, I am talking to you.’ He almost shouted.
‘Yesss .. yes sir’
‘Show me your notebook …’ he almost snatched the notebook from his hands.
‘What …. What is this Aj ..’ he slapped the copy on the table. Ajay’s notebook had the following lines:
Solution 1:
21
………. Rest all blank.
Sir was furious, ‘What is this yaar Ajay, if you don’t want to study, then why wasting your father’s precious money. I wonder how such an intelligent man has sons like you and Nitesh. You are a disappointment not only for me but for your father as well. I have put a note here, get a signature here tomorrow, I want your father to see this.’
‘But sir, I …’
‘Shut up yaar, Amit show me what you have done.’
‘Ohh .. yes sir, I have solved the first question, the answer is 21’ he said that with such an authority as if it was one of the toughest problems ever encountered.
‘And for the second question I have been working on it and I think we will have to use differentiation and integration formulas which are beyond our syllabus, my elder brother in standard 12th has … ’
‘Are what differentiation and integration and your elder brothers, you both have disappointed me, cannot solve a simple logical question and working for NTSE’ NTSE stands for National Talent Search Examination.
‘What about you? … just tell me if you have solved the second question.’
‘No sir, I have not.’ I could see the disappointment on his face.
He declared the day as off and insisted that we work not only on conceptual but also on logical and observational skills. Later when we were walking back home, I took the notebook from Ajay’s hands; he had a dejected look on his face.
‘Are, koi naa yaar. The second problem was unsolvable and sir knows it’ said Amit as I nodded in agreement.
As I saw the note on Ajay’s notebook, he said ‘I have worked on the 2nd problem yaar, the answer is (2, 2).’
After a bit of silence, Amit chuckled, ‘This must be a joke man, how could you …. ’
‘Hey wait, the ordered pair (2, 2) satisfies the equations’ I interrupted, ‘Why you did not responded to sir in the class.’
‘He never listens. The anger was lesser on me but more on the failure of my elder brother Nitesh whom he taught and who could not get through. Tell me yaar Ani (that was my nick name), is a success in a competitive exam such an important parameter?’I was speechless.
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