10 second questions

Jai Ganesh · 2007-10-07 02:37:31

241. Find the greatest 6 digit number which is a perfect square.

242. The product of r consecutive natural numbers is divisible by
(a)r (b)r! (c)(r!)² (d) None of these.

243. The third term of a Geometric Progression is 4. The product of the first five terms is
(a)4³ (b)4^4 (c)4^5 (d)None of these.

Jai Ganesh · 2007-10-07 02:54:49

244. If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
(a)10% (b)12% (c)8% (d) 6.67%

245. Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?

Jai Ganesh · 2007-10-08 03:09:07

246. Solve for real 'x' if √(9x-x²)>0.

247. Solve the inequality 3^(3x-2) > 1.

248. A shepherd has 1 million sheeps at the beginning of Year 2000. The numbers grow by x% (x > 0) during the year. A famine hits his village in the next year and many of his sheeps die. The sheep population decreases by y% during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheeps. Which of the following is correct?

(a)x > y
(b)y > x
(c)x = y
(d)Cannot be determined

Daniel123 · 2007-10-08 06:17:29

247.

first question I saw.. no time to do any others.

Last edited by Daniel123 (2007-10-08 06:18:07)

Jai Ganesh · 2007-10-08 19:55:15

Very well done, Daniel123!!!

Jai Ganesh · 2007-10-09 03:10:57

249. Jim travels the first 3 hours of his journey at 60 mph (miles per hour) speed and the remaining 5 hours at 24 mph speed. What
is the average speed of Jim's travel in mph?

250. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

Jai Ganesh · 2007-10-10 22:01:47

251.A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. How many seconds will it take her to move along the perimeter of a hexagon of side 42 meters?

252. The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is _____.

Jai Ganesh · 2007-10-11 05:08:06

253. On a black board, if you were to write the counting numbers from 1 to 1000, each number once, how many times would you be required to write the number '4'?

254. If it takes 499 seconds for the sunlight to reach earth, and light travels at the velcocity of 300,000 kilometers per second, how far approximately (in kilometers) is the sun away from the earth?

Daniel123 · 2007-10-11 09:21:14

249.

Daniel123 · 2007-10-11 09:24:59

251. 84s

Jai Ganesh · 2007-10-11 22:07:03

Very well done, Daniel123!!! Both your answers are correct!!!

Jai Ganesh · 2007-10-12 04:58:55

255. What is the value of
(17³-11³)/(17²+17x11+11²)?

256. If 3 feet make a yard, 220 yards make a furlong, and 8 furlongs make a mile, how many feet is a mile?

Jai Ganesh · 2007-10-13 04:03:51

257. The angles of a triangle are in the ratio 1:2:3. Find the ratio of sides of the triangle.

258. The sides of a triangle are 2x+3, x²+3x+3 and x²+2x. Find the greatest angle of the triangle.

Jai Ganesh · 2007-10-14 02:01:39

259. How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

260. From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask?

Jai Ganesh · 2007-10-19 02:20:57

261.What is the least number that should be stubtracted from 12031 to get a number exactly divisible by 57?

262. If x and y are two numbers such taht x is a factor of y, then what is the Least Common Multiple of x and y?

263. The greatest number which when divided 258 and 323 leaving remainders 2 and 3 respectively is ___.

264. The smalles number which when divided by 4, 6, 10, and 15 gives the same remainder 3 is ___.

265. The product of two numbers is 4332. If their Greatest Common Divisor is 19, then their Least Common Multiple is ___.

266. Which of the following pairs of numbers are co-primes?
(a)(14, 35)
(b) (18, 25)
(c) (31, 93)
(d) (24, 62)

Jai Ganesh · 2007-10-21 02:12:24

267. 40 men can bild a wall 20 meters high in 15 days. How many men would be required to build a similar wall 25 meters high in 6 days?

268. If 40 persons consume 240 kilograms or rice in 15 days, in how many days would 30 persons consume 48 kilograms of rice?

269. If 5 men working 6 hours a day can reap a field in 20 days, in how many days would 15 men reap the field, working 8 hours a day?

270. If 20 men working 7 hours a day can do a work in 10 days, in how many days would 15 men working for 8 hours a day do the same work?

271. If x men working x hours a day can do x units of a work in x days, how many units of work would be completed by y men working y hours per day?

Jai Ganesh · 2007-10-30 03:31:19

272. Which is largest number containing 6 digits and a perfect square?

273. How many perfect squares exist between 0 and 100,000?

Jai Ganesh · 2007-11-02 03:23:09

274. What interesting pair of numbers is (220, 284)?

275. What are the prime factors of 1001?

Devantè · 2007-11-02 04:54:21

I will answer the rest when I have time.

Last edited by Devantè (2007-11-02 04:59:23)

Jai Ganesh · 2007-11-03 01:15:26

Wow! Wow! Well done, Devante, all correct!

siva.eas · 2007-11-03 12:17:50

Jai Ganesh · 2007-11-03 20:57:34

siva.eas,
Well done!
Both your answers are correct.
For #274, the numbers are called amicable or sociable numbers.

276. How many zeros does a vigintillion contain?

277. And how many zeros does a centillion contain?

JohnnyReinB · 2007-11-03 21:18:56

thanks for the hide tag tip. now may I know how to add titles to the tag?

Devantè · 2007-11-04 01:05:18

To add a title to your hide tag, you must do this;

{hide=INSERT TITLE HERE}DESIRED TEXT{/hide}

That becomes this;

Jai Ganesh · 2007-11-04 01:08:48

Good work, JohnnyReinB!
Both your answers are correct!

278. How many seconds are there in 24 hours?
(Not a day, the question says 24 hours. Not all days in a year are of 24 hours)

279. I walk 24 kilometers to the East, and then 10 kilometers to the South. How far away am I from the starting point as the crow flies?

Math Is Fun Forum

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