10 second questions

landof+ · 2007-09-16 23:14:26

Identity · 2007-09-17 01:08:17

landof+ wrote:

Are you sure about that?

Devantè · 2007-09-17 03:54:54

Take 3 out of base 10 (well then it wouldn't be base 10, haha), and yes, he has got it right.

... ... ... ... ...

Jai Ganesh · 2007-09-30 00:30:40

Welldone, John Frankilin, Devante', landof+ !!!

196. A Pythagorean triple is a set of three numbers such that the sumof squares of two numbers is equal to the square of the third. For example (3,4,5) form a Pythagorean triple. A Pythagorean triple cannot have two even numbers and one odd number. True or False?

197. If (a,b,c) is a Pythagorean triple, then (na,nb, nc) is also a Pythagorean triple. True or False?

198. If (a,b,c) is a Pythagorean triple, (a²,b²,c²) can not form a Pythagorean triple. True or False?

199. Who is the author of 'Arithmetica'?

200. Who is the author of 'Elements'?

Identity · 2007-09-30 22:01:10

Jai Ganesh · 2007-09-30 22:31:10

Well done, Identity!
All your answers other than the one to #199 are correct.

201. What is the sum of the series : 1,2,3,4,......100?

202. What is the sum of the series : 2,4,6,8,.......100?

203. What is the sum of the series : 1,3,5,7,9,......99?

204. What is the total of all the internal angles of a hexagon?

205. If the sum of two numbers is 50 and their product is 589, what is their difference?

206. What is the sum of the first 8 terms of the series 2,4,8,16.....?

JaneFairfax · 2007-09-30 22:43:02

Jai Ganesh · 2007-09-30 23:27:11

Excellent work, JaneFairfax!!!

207. All prime numbers are of the form 6n-1 or 6n+1 (other than 2 and 3) where n is a natural number. True or false?

208. All rectangles are cyclic quadrilaterals. True or false?

Identity · 2007-10-01 01:58:28

In 199 I was thinking of Principia Mathematica X)

Jai Ganesh · 2007-10-01 02:33:51

Well done Identity, most of your answers are correct!
The wrong ones are 202, 203 and 207. Please read the questions again carefully, particularly question # 207.

209. What is the probability of getting a total of 6 when a pair of dice are cast?

210. Complete the series:-

2, 3, 7, 25, 121, ___

211. Complete the series:-

4, 9, 25, 49, ___, ___

212. What is special about this pair of numbers?
(220, 284)

213. Which of the following is the greatest fraction?

3/5, 4/9, 7/11, 12/17, 19/26

214. What is the selling price of an article if its cost price is $720 and a profit of 11 1/9% is earned by selling the article?

Jai Ganesh · 2007-10-01 19:19:46

215. Complete the series: 2, 8, 18, 32, ___, ___.

216. Complete the series : 2, 3, 7. 25, 121, ___.

217. Find the odd man out :- 27, 125, 343, 729, 1331.

218. The Least Common Multiple (LCM) of two co-primes is their product. True or False?

JaneFairfax · 2007-10-01 22:42:56

Jai Ganesh · 2007-10-02 02:15:15

Excellent, Jane Fairfax!!!

219. Complete the series : 1, 4, 9, 61, 52, 63, ___.

220. If pipe A fills a tank in 2 minutes; pipe B fills the tank in 3 minutes and pipe C empties the tank in 6 minutes, in how much time would the tank be full if all the three pipes are open?

221. If the Arithmetic Mean of two numbers is x and their Geometric Mean is y, what is their Harmonic Mean?

Jai Ganesh · 2007-10-03 02:20:30

222. Express this recurring decimal as a fraction:-
0.123123123123123............

223. What is the coefficient of the middle term in (x+y)^10?

lightning · 2007-10-03 03:51:47

ganesh: 210. Complete the series:-

2, 3, 7, 25, 121, ___

211. Complete the series:-

4, 9, 25, 49, ___, ___

213. Which of the following is the greatest fraction?

3/5, 4/9, 7/11, 12/17, 19/26

Identity · 2007-10-03 16:49:07

Jai Ganesh · 2007-10-04 02:52:24

lightning, please try again!!!
Identity, very well done !!!

224, In a university of 1,000 students, each one speaks atleast one of the languages English, French or German. 500 of them speak English, 400 speak German and 300 speak French. 100 of them speak both English and German, 50 of them speak both English and French and 75 of them speak both French and German. How many students speak all the three languages?

225. If the measures of three angles of a triangle are in the ratio 4:5:6, find the angles.

226. One side BC of a triangle ABC is produced to D. If measure of angle B is 70° and measure of angle ACD is 145°, find the measure of angle BAC.

227. Complete the series : A, B, E, C, I, D, O, ___.

Jai Ganesh · 2007-10-05 03:11:36

228. What is the distance between the points (-1, 2, 4) and
(3, 7, 11)?

229. (10^25)-7 is divisible by
(a)7 (b)3 (c)9 (d)3 and 9.

230.What is the length of the longest rod that can be placed inside a cuboid of internal dimensions 3m, 4m and 5m?

Devantè · 2007-10-05 09:37:19

(can't be bothered to do the rest right now, just looked at one at random)

Jai Ganesh · 2007-10-05 18:45:30

Absolutely right, Devante`. Very well done.

231. Complete the series:- 0, 1, 2, 15, 34, ___, ___.

232. What is the equation of a straight line passing through the origin and (5,2)?

Jai Ganesh · 2007-10-05 19:06:13

233. Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?

(1) (x-z)²y is even
(2) (x-z)y² is odd
(3) (x-z)y is odd
(4) (x-y)²z is even

234. The sum of the first 100 numbers, 1 to 100 is divisible by

(1) 2, 4 and 8
(2) 2 and 4
(3) 2 only
(4) None of these

235. Find the greatest number of five digits, which is exactly divisible by 7, 10, 15, 21 and 28.

236. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What was the product she got?

Devantè · 2007-10-05 19:35:09

Jai Ganesh · 2007-10-06 02:46:06

Well done, Devante`!!!

237. Find the value of m if the equation
x²-2(5+2m)x+3(7+10m)=0 has equal roots.

238. The coefficient of x in the quadratic equation x²+px+q=0 was taken as 17 in place of 13, and its roots were found to be -2 and -15. Find the roots of the original equation.

Identity · 2007-10-06 03:40:44

Jai Ganesh · 2007-10-06 20:04:58

Excellent, Identity!!!
Most of your solutions are correct. The wrong ones I noticed were 210, 214, 225, 233 and 237. Very good attemtp, well done again!!!

239. What is the measure of the acute angle made by the hour hand and the minute hand of a clock when the time is 2.35?

240. If the sum 1+2+3+.....k is a perfect square N² and if N is less than 100, then the possible values for k are:-
(a)1 (b)8 (c) 8 and 49 (d) 1,8, and 49.

Math Is Fun Forum

#276 2007-09-16 23:14:26

Re: 10 second questions

#277 2007-09-17 01:08:17

Re: 10 second questions

#278 2007-09-17 03:54:54

Re: 10 second questions

#279 2007-09-30 00:30:40

Re: 10 second questions

#280 2007-09-30 22:01:10

Re: 10 second questions

#281 2007-09-30 22:31:10

Re: 10 second questions

#282 2007-09-30 22:43:02

Re: 10 second questions

#283 2007-09-30 23:27:11

Re: 10 second questions

#284 2007-10-01 01:58:28

Re: 10 second questions

#285 2007-10-01 02:33:51

Re: 10 second questions

#286 2007-10-01 19:19:46

Re: 10 second questions

#287 2007-10-01 22:42:56

Re: 10 second questions

#288 2007-10-02 02:15:15

Re: 10 second questions

#289 2007-10-03 02:20:30

Re: 10 second questions

#290 2007-10-03 03:51:47

Re: 10 second questions

#291 2007-10-03 16:49:07

Re: 10 second questions

#292 2007-10-04 02:52:24

Re: 10 second questions

#293 2007-10-05 03:11:36

Re: 10 second questions

#294 2007-10-05 09:37:19

Re: 10 second questions

#295 2007-10-05 18:45:30

Re: 10 second questions

#296 2007-10-05 19:06:13

Re: 10 second questions

#297 2007-10-05 19:35:09

Re: 10 second questions

#298 2007-10-06 02:46:06

Re: 10 second questions

#299 2007-10-06 03:40:44

Re: 10 second questions

#300 2007-10-06 20:04:58

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