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#101 2006-05-03 16:28:07

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

241. In a row of 15 children, when Raymond was shifted three places towards right, he became the 8th from the right end. What was his earlier position from the left end of the row?

242. A circle, a square and an equilateral triangle have eqaul area. Which of these has the greatest perimeter?

243. If September 15, 2000 was a Friday, what day was September 15, 2001?

244. I am facing West. I turn 90° in the clokcwise direction and then 135° in the anticlockwise direction. What direction am I now facing?

245. The position of one of the players at the end of a competition is 8th from the top and 84th from the bottom. What is the total number of competitors?

246. If


then what is the value of x?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#102 2006-05-04 15:46:34

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

247. Which is the nearest integer to 58701 which is divisible by 567?

248. The difference between the cube of a number and its square is 100. What is the number?

249. One liter of water weighs 1 kilogram. How many cubic millimters of water would weigh 0.1 gram?

250. Which is the number which when multiplied by 17 increases by 640?

251. A misture of 40 liters of milk and water contains 10% water. How much water should be added to make water 20% in the new mixture?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#103 2006-05-05 16:42:53

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

252. 25% of a certain number is 15 less than 30% of the same number. What is the number?

253. A's income is 10% more than B's income. How much percent is B's income less than A's?

254. If 40 of the people read Newspaper X, 50% read Newspaper Y,and 10% read both the Newspapers, what percentage of people read neither of the newspapers?

255. In an organization, 40% of the employees are illeterate, 50% of the remaining are graduates and the remaining 180 are Post-graduates. How many employees are graduates?

256. The price of cooking oil has increased by 25%. By what percentage should the consumption be decreased in order to maintain the same expenditure on the said commodity?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#104 2006-05-05 22:04:48

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: Oral puzzles

252. 300
255. 900
256. 20%


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#105 2006-05-05 22:09:31

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

Well done, Patrick, your answers to questions 252 and 256 are correct. Probably you missed a part of question No.255. smile


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#106 2006-05-05 22:12:04

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: Oral puzzles

Haha, yeah... Guess the answer is 180?


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#107 2006-05-05 22:17:56

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

You are right, Patrick! Well done smile


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#108 2006-05-05 23:19:42

Patrick
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Registered: 2006-02-24
Posts: 1,005

Re: Oral puzzles

Well, I had just come out of bed, so I guess my eyes weren't fully openned yet wink As a little side note, do you get these puzzles from a book, or do you make them up yourself?


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#109 2006-05-05 23:42:51

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

Patrick,
There are many examinations (in India), for higher education like the Common Admission Test for Management Courses, and for employment like the Civil Services/Banks/Insurance Companies etc. with Basic Mathematics as one of the subjects. I had earlier prepared these questions papers for my students. Most of the questions are objective type with four answers given to choose from. However, I don't give the options here. These questions are all to be answered within a minute, some within half-a-minute.
I add to my collection of books, and the Question Bank as a result. Often, I make some changes in the questions . Sometimes I put my own questions. I also get them from Senior School/Pre-University question papers.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#110 2006-05-06 00:26:32

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: Oral puzzles

Okay smile Thank you for the answer, I had wondered for quite some time tongue

Last edited by Patrick (2006-05-06 00:26:56)


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#111 2006-05-06 18:14:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

257. How many grams of water are to be added to reduce 9 grams of shaving lotion containing 50% alcohol to a lotion containing 30% alcohol?

258. A dealer marks his goods 20% above Cost Price. He then allows a discount and amkes a profit of 8%. What is the rate of discount?

259. The difference between the Cost Price and Sale Price of an article is $240. If the profit on the sale is 20%, at what price was the article sold?

260. By selling a motor car for $22600, a person gains 13%. How much did he gain in the transaction?

261. A shopkeeper bought locks at the rate of 8 locks for $34 and sold them at 12 for $57. How many locks would he have to sell to make a profit of $900?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#112 2006-05-07 17:03:43

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

262. I bought a car and got 15% discount on the original price. I then sold it at a profit of 20% on the purchase price. What is the percentage of profit I made on the original price of the car?

263. The cost of a shirt after 15% discount is $102. What was the cost before the discount?

264. If a seller reduces the selling rpice of a motorcycle from $ 400 to $380, his loss increases by 20%. What is the Cost price of the motorcycle?

265. A merchant has 120 kilograms of rice. He sells a part of it at 10% profit and the rest at a profit of 25%. He gains 15% on the whole. What qunatity of rice did he sell at 25% profit?

266. A wholesaler gains 25% by selling a commodity to a retailer and the retailer gains 30% by selling it to the consumer. If the retailer sold the commodity for $325, what price did the wholesaler buy it for?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#113 2006-05-08 16:32:10

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

267. 5 mangoes and 4 oranges cost as much as 3 mangoes and 7 ornages. What is the ratio of the cost of one mango to that of one orange?

268. If 35% of A's income is equal to 25% of B's income, what is the ratio of their incomes?

269. A and B have incomes in the ratio 5:3. The expenses of A, B, and C are in the ratio 8:5:2. If C spends $ 2,000 and saves $ 700, what is A's saving?

270. If 40 men can build a wall 300 m long in 12 days, working 6 hours a day, how long would it take for 30 men to build a similar walll 200 m long, working 8 hours a day?

271. If 12 persons can do 3/5 of a work in 10 days, how many would be required to finish the whole work in 20 days?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#114 2006-05-09 17:34:19

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

272. A man, a woman, or a boy can do a piece of work in 3, 4, and 12 days respectively. How many boys must assist one man and one woman to do the work in one day?

273. A, B, and C can do a work in 20 days. After working with B and C for 8 days, A leaves and then B and C complete the work  together in 10 more days. In how many days would A alone complete the work?

274. 20 men can finish a work in 30 days. After how many days should 5 men leave the work so that it can e completed in 35 days?

275. A contractor undertook to build a road in 100 days. He employed 110 men. After 45 days, he found that only a fourth of the work could be completed. In order to complete the work in time, how many more men should he employ?

276. Walking at 6/7th of his usual speed, a man is 12 minutes late. What is the time taken by him to cover the distance at his normal speed?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#115 2006-05-10 15:39:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

277. The heel of an engine is 7½ meters in circumference makes 7 revolutions in 9 seconds. What is the speed of the train in  kilometers per hour?

278. A train X starts from a place and runs at the speed of 50 kilometers per hour. After one hour, another train Y starts from the same place at the speed of 70 kilometers per hour. When would Y cross X?

279. A train ceovers the distance between stations A and B in 45 minutes. If the speed of the train is reduced by 5 kilometers per hour, then the same distance is crossed in 48 minutes. What is the distance between stations A and B?

280. A train passes over a bridge of length 200 meters in 40 seconds. If the speed of the train is 81 kilometers per hour, what is its length?

281. A train passes a 50 meter long platform in 14 seconds and a man standing on the platform in 10 seconds. What is the speed of the train in kilometers per hour?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#116 2006-05-11 16:42:58

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

282. Two trains are running at 40 kilometers per hour and 20 kilometers per hour respectively in the same direction. The faster train completely passes a man sitting in the slower train in 5 seconds. What is the length of the faster train?

283. A train travelling with a constant speed crosses a 96 meter long platform in 12 seconds and another 141 meter long platform in 15 seconds. What is the length of the train?

284. A person travels equal distances with speeds of 3 km/hour, 4 km/hour and 5 km/hour and takes a total time of 47 minutes. What is the distance travelled in kilometers?

285. Two men start together to walk a certain distance at 3.75 kilometers per hour and 3 kilometers per hour respectively. The faster of the two men arrives 30 minutes before the slower man. What is the distance they walked?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#117 2006-05-12 17:00:21

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

286. What is the value of p such that x+2y-9=0 and px+4y+5=0 are parallel?

287. What is the equation of the line bisecting the angle between the positive x axis and the positive y axis?

288. What is the equation of the line passing through the origin and parallel to the line 3x-2y+1=0?

289. At what point does the line 3x-7y=10 meet the x-axis?

290. What is the point of intersection of the lines 3x+5y=4 and 2x+3y=2?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#118 2006-05-14 02:10:52

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

291. The diagonals of a rhombus and 10 centimeters and 24 centimeters. What is the perimeter of the rhombus?

292. A man 17 kilometers walks towards South, then turn towrds West and walks 24 kilometers, then turns North and walks 10 kilometers and stops there. How far is he from the starting point?

293. A and B are two independent witnesses in a case. The probability of A speaking the truth is 3/4 and that of B speaking the truth is 4/5. What is the probability of their contradicting?

294.  A certain sample of bacteria quadruples every 15 minutes. If the starting population of the bacteria is 10,000, what would be the population of the bacteria after 1 hour?

295. My wristwatch gains 15 seconds every hour compared to a normal wristwatch. If I set the wristwatch correctly at 10 a.m on Tuesday, what would be the time my wristwatch would show when the correct time is 10 pm on Saturday?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#119 2006-05-14 16:42:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

What is the value of

296.

297.

298.

299.

300.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#120 2006-05-14 22:48:11

Ninja 101
Member
Registered: 2006-02-20
Posts: 936

Re: Oral puzzles

ganesh wrote:

What is the value of

296.

297.

298.

299.

300.

Can't see it myself considering that's really hard to read.


Chaos is found in greatest abundance wherever order is being saught. It always defeats order, because it is better organized.

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#121 2006-05-14 23:55:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

Okay, Ninja 101,

The questions are

296 :- log 9 to the base 27

297. log (1/625) to the base 5

298. log 1000 to the base 0.01

299. log to the base 2 of log of 625 to the base 5

300. 25 raised to the power of log of 4 to the base 5.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#122 2006-05-15 15:13:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

301. If sinθ=5/13, what is the value of secθ?

302. What is the value of sin²59° + sin²31°?

303. What is the value of sin79°cos11°+cos79°sin11°?

304. What is the value of cos780°?

305. If sinx=3/5, what is the value of cos2x?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#123 2006-05-16 20:25:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

306. What is the distance between the points (2,-3) and (2,2)?

307. In what ratio is the line segment  joining the points P (-4,2) and Q(8,3) divided by y-axis?

308. What is the sitance of the point (-4,3) from the origin?

309. What is the slope of the line joining the points A(-3,5) and B(4,2)?

310. What is the value of k for which the lines 2x+3y+7=0 and 27x+ky+25=0?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#124 2006-05-17 23:58:22

Ninja 101
Member
Registered: 2006-02-20
Posts: 936

Re: Oral puzzles

Danke Schon. smile


Chaos is found in greatest abundance wherever order is being saught. It always defeats order, because it is better organized.

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#125 2006-05-18 01:58:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,840

Re: Oral puzzles

Thats 'Thank you' in German, right?

311. How many 2 digit numbers are there that are divisible by 6?

312. What is the value of
(1²+2²+3²+....10²)-(1+2+3+....10)

313. What is the value of

?

314. If a, b, and c are in Harmonic Progression, what is b equal to (in terms of a and c)?

315. What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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