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(CSIR-NET NOV 2020) A person invests a certain amount of money. Whenever the amount gets exactly doubled, he donates Rs. 200. After four such donations he is left with Rs. 200. The initial amount of money he invested was rupees.
200
Correct answer.
1000
Incorrect answer. If the initial amount is 1000, use backward induction to show that the balance will not be Rs 200.
800
Incorrect answer. If the initial amount is 800, use backward induction to show that the balance will not be Rs 200
400
Incorrect answer. If the initial amount is 400, use backward induction to show that the balance will not be Rs 200.
(CSIR-NET JUNE 2014) A merchant buys equal numbers of shirts and trousers and pays Rs.38000. If the cost of 3 shirts is Rs.800 and that of a trouser is Rs.1000, then how many shirts were bought?
30
Correct answer. Let the number of shirts and trousers be x. Then, the total cost is 800x/3 + 1000x = 38000. Solving for x, we get x = 30.
60
Incorrect answer. If the number of shirts and trousers is 60, then the total cost is 800*60/3 + 1000*60 = 76000.
15
Incorrect answer. If the number of shirts and trousers is 15, then the total cost is 800*15/3 + 1000*15 = 19000.
10
Incorrect answer. If the number of shirts and trousers is 10, then the total cost is 800*10/3 + 1000*10 = 12667.
(CSIR-NET FEB 2022) A and B have coins of Rs.1, Rs. 2, Rs. 5 and Rs. 10, in the ratio 4:3:6:2 and 3:5:7:3, respectively. A has Rs.6/- more than B. Which of the following can be the number of coins with A and B, respectively?
60, 54
This is the correct answer.
42, 36
This is incorrect. The total amount of money with A and B would not match.
45, 54
This is incorrect. The ratio of Rs.10 coins would not match.
60, 72
This is incorrect. The difference between A and B would not be Rs.6/-.
(CSIR-NET DEC 2016) A woman starts shopping with Rs. X and Y paise, spends Rs. 3.50 and is left with Rs. 2Y and 2X paise. The amount she started with is?
Rs. 32.14
This is the correct answer because if we let X = 0.14 and Y = 0.16, then the equation is satisfied.
Rs. 48.24
This is not the correct answer because if we let X = 0.24 and Y = 0.24, then the equation is not satisfied.
Rs. 28.64
This is not the correct answer because if we let X = 0.64 and Y = 0.14, then the equation is not satisfied.
Rs. 23.42
This is not the correct answer because if we let X = 0.42 and Y = 0.11, then the equation is not satisfied.
(CSIR-NET JUNE 2018) Mohan lent Geeta as much money as she already had. She then spent ₹10. Next day, he again lent as much money as Geeta now had and spent ₹10 again. On the third day, Mohan again lent as much money as Geeta now had, and she again spent ₹10. If Geeta was left with no money at the end of the third day, how much money did she have initially?
₹8.75
This is the correct answer. Let x be the initial amount of money Geeta had. Then, after the first day, she had 2x – 10. After the second day, she had 4x – 30. After the third day, she had 8x – 70. Since she was left with no money, we can set this equal to zero and solve for x: 8x – 70 = 0, x = 8.75.
₹11.25
This is incorrect. If Geeta had this amount initially, she would have ₹10 left at the end of the third day.
₹10
This is incorrect. If Geeta had this amount initially, she would have ₹30 left at the end of the third day.
₹7.75
This is incorrect. If Geeta had this amount initially, she would have ₹-10 left at the end of the third day.
(CSIR-NET NOV 2020) I bought some bananas for Rs 120. The vendor gave me two extra bananas and, in the process, incurred a loss of Rs. 10 per dozen on the earlier price. How many bananas did ultimately get for Rs.120?
18
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16
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14
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12
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