10 second questions

Jai Ganesh · 2009-01-01 03:47:43

#1201. If (16)³ is subtracted from the square of a number, the answer obtained is 3825. What is the number?

#1202. What is the value of x if 25³ x 4³ - 800² = x²?

#1203. What is the value of 128 ÷ 8 ÷ 0.4?

#1204. What is the value of x if 56064 ÷ √(x) = 48 x 16?

#1205. The average of five consecutive even numbers A, B, C, D, and E is 106. What is the product of B and D?

Jai Ganesh · 2009-01-01 18:03:37

#1206. The owner of a mobile phone shop charges his customer 23% more than the cost price. If a customer paid $7011 for a mobile phone, what was the cost price of the mobile phone?

#1207. What would be the compound interest obtained on amount of $4000 at the rate of 5% per annum after 3 years?

#1208. The average age of a man and his son is 40 years. The ratio of their ages is 7:3 respectively. What is the man's age?

#1209. The total number of students in a school is 5050. If the number of girls is 2450, what is the ratio of the total number of boys to the total number of girls in the school?

#1210. 43% of a number is 559. What is 32% of that number?

#1211. What is the least number to be added to 7700 to make it a perfect square?

#1212. Stephen deposits an amount of #35,800 to obtain a simple interest at 15% per annum. What would be the total amount Stephen would get at the end of 4 years?

#1213. If (92)² is added to the square of a number, the answer so obtained is 10768. What is the number?

#1214. The cost of 12 Chairs and 15 Tables is $58,968. What is the cost of 4 Chairs and 5 Tables?

#1215. If the following fractions are arranged in descending order, which one would be in the fourth place/

Jai Ganesh · 2009-01-01 23:59:47

#1216. A 150 meter long train is running at 72 kilometers per hour. How much time in seconds
would it take to pass a platform 250 meters long?

#1217. A train of length 110 meters takes 10 seconds to pass another train 90 meters long coming from the opposite direction. If the speed of the first train is 20 kilometers per hour, what is the speed of the second train?

#1218. William lost 20% by selling a television set for $8000. What percent would he lose by selling it at $8500?

#1219. Two persons A and B working together can dig a trench in 10 hours while A alone can dig it in 14 hours. In how many hours would B alone dig the trench?

#1220. What is the value of sin 30° cos 60° + sin 60° cos 30°?

Jai Ganesh · 2009-01-02 02:34:08

#1221. A farmer divides his herd of cows among his 4 sons, such that the first son gets half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth son gets 7 cows. How many cows did the farmer divide among his sons?

#1222. If xy=96 and 3y=2x, what is the value of x?

#1223. The cost of 2 sarees and 4 shirts is $1600. 1 saree and 6 shirts also cost the same. Find the cost of 12 shirts.

#1224. In a certain office, one-third of the workers are women, half of the women are married and one-third of the married women have children. If three-fourth of the men are married and two-third of the married men have children, what part of the workers are without children?

#1225. Two numbers differ by 5. If their product is 336, what is the sum of the two numbers?

#1226. One-third of a two digit number exceeds its one-fourth by 8. What is the sum of the digits of the number?

#1227. The teacher asked the students to multiply a number by 5/8. A student, by mistake multiplied the number by 7/8 and got the answer as 42. What was the percentage error committed by the student?

#1228. If 2½ is added to a number and the sum multiplied by 4½; and 3 is added to the product and the resultant is divided by 1 1/5, the quotint obtained is 25. What is the number?

#1229. An office has 114 tables and 129 chairs. If one-sixth of the tables and one-third of the chairs are broken, how many people, each requiring a set of 1 table and 1 chair can work?

#1230. The teacher asked a student to multiply a number by

. The student erroneously multiplied it by and obtained an answer 81 more than the correct one. What was the number given by the teacher?

JaneFairfax · 2009-01-02 22:42:08

Last edited by JaneFairfax (2009-01-02 22:44:50)

Jai Ganesh · 2009-01-03 01:07:40

Answers to #1222 and #1230:-
Both correct, JaneFairfax!

Jai Ganesh · 2009-01-03 01:40:51

#1231. The highest score in an examination was

of the total and the second highest was of the remainder. If these scores differ by 9, what is the total score of all the students?

#1232. What are the values of a and b is

?

#1233. There are 36 students in a class. If two-third of them are boys and three-fourth of the boys are under six feet tall, then how many boys in the class are under six feet tall?

#1234. A number of friends decided to go on a picnic and planned to spend $96 on food. Four of them, however, did not turn up. As a result, the remaining ones had to contribute $4 extra. How many boys went on picnic?

#1235. Rent in a lodge is charged at $50 per day for the first three days, $100 per day for the next 5 days, and #300 per day thereafter. Registration fee of $50 has to be paid initially. If a person had paid $1300 for his stay, for how many days did he stay in the lodge?

#1236. The sum of squares of three consecutive numbers is 869. What is the middle number?

#1237. The average of two numbers is 7.5 and half their difference is 1.75. What is the smaller number?

#1238. In a school, 20% of the students are under the age of 8 years. The number of girls above the age of 8 years is two-third the number of boys above the age of 8 years and is equal to 48. What is the total number of students in the school?

#1239.

exceeds by how many times of ?

#1240. The sum of two numbers is 40 and their product is 1375. What is the sum of their reciprocals?

JaneFairfax · 2009-01-03 01:51:58

Jai Ganesh · 2009-01-03 02:38:36

Answer to #1231:-
Correct, JaneFairfax!

Jai Ganesh · 2009-01-03 02:56:15

#1241. If the numerator of a fraction is increased by 140% and the denominator is increased by 150%, the resultant fraction is

. What is the original fraction?

#1242. By how much percent is four-fifth of 70 less than five-seventh of 112?

#1243. A sum of $731 is divided among A, B, and C such that A receives 25% more than B, and B receives 25% less than C. What is C's share?

#1244. Each issue of a weekly costs $10. However, on subscription of 156 issues, 30% of the total amount and on subscription of 52 issues, 25% of the total amount gets saved. What difference exists between the price per issue obtained through both subscriptions?

#1245. In a survey in the Asia-Pacific region, it was observed that 75% of the Indian children watched Television for more than two hours. If the survey covered 5700 children of whom 48% were Indians, how many Indian children reported to have watched Television for more than two hours?

JaneFairfax · 2009-01-03 03:20:14

Jai Ganesh · 2009-01-03 16:44:15

Answer to #1241:
Correct, JaneFairfax!

Jai Ganesh · 2009-01-03 18:07:18

#1246. Three dice are thrown together. Find the probability of getting a total of atleast 6.

#1247. Four persons are to be chosen at random from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man, 1 woman and 2 children.

#1248. A box contains 10 bulbs of which just three are defective. If a random sample of five bulbs is drawn, what is the probability that the sample contains no defective bulbs?

#1249. What is the probability of getting atleast one head from 3 tosses of a coin?

#1250. A speaks the truth in 60% cases and B speaks the truth in 70% cases. What is the probability that they would say the same thing while describing an event?

Jai Ganesh · 2009-01-03 20:41:14

#1251. A rectangular sheet of size 88 cm x 35 cm is bent to form a cylindrical shape with height 35 cm. What is the area of the base of the cylindrical shape?

#1252. The radius at the base of a conical tent is 7 meters. If the slant height of the tent is 15 meters, what is the area of the canvas required t make the tent?

#1253.Three spherical balls of radius 1 cm, 2 cm, and 3 cm are melted to form a single spherical ball. In the process, the material loss is 25%. What would be the radius of the new ball?

#1254. A metallic sheet is of rectangular shape with measurements 48 cm x 36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. What is the volume of the box?

#1255. Find the number of bricks measuring 25 cm in length, 5 cm in breadth and 10 cm in height for a wall 40 meters long, 75 cm broad and 5 meters in height.

JaneFairfax · 2009-01-03 23:23:56

Jai Ganesh · 2009-01-04 01:54:34

Answer to #1252:-
Correct, Janefairfax!

Jai Ganesh · 2009-01-04 02:08:36

#1256. A rectangular room of length 5 m, width 4 m, and height 3 m is to be painted. If the unit cost of painting is $10 per m², what is the total cost of painting?

#1257. A hemisphere of radius 6 cm is cast into a right circular cone of height 75 cm. What is the radius of the cone?

#1258. A rectangular container is of size 12 cm length, 8 cm breadth and 4 cm height. How many ice cubes of side 2 cm each can be placed in the container?

#1259. Three equal cubes are placed adjacently in a row. Find the ratio of the surface area of the new cuboid to the sum of the surface areas of the three cubes.

#1260. A powder tin has a square base with side 8 cm and height 13 cm. Another tin is cylindrical with the radius of its base being 7 cm and height 15 cm. Find the difference in their capacities.

JaneFairfax · 2009-01-04 02:13:53

Jai Ganesh · 2009-01-04 02:29:23

Answer to #1257:
On the dot!
Well done, Janefairfax!

#1261. A field is 200 m long and 150 m broad. There is a plot, 50 m long and 40 m broad, near the field. The plot is dug 7 m deep and the earth taken out is spread evenly on the field. By how many meters approximately is the level of the field raised?

#1262. Two cylindrical canes have bases of the same size. The diameter of each is 14 cm. One of the cans is 10 cm high and the other is 20 cm high. Find the ratio of their volumes.

#1263. The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions?

#1264. Find the cost of sinking a tube-well 280 m deep having diameter 3 m at the rate of $3.60 per m³.

#1265. The diameters of two cones are equal and their slant heights are in the ratio 5:4. If the curved surface area of the smaller cone is 200 cm², find the Curved surface area of the bigger cone.

JaneFairfax · 2009-01-04 02:42:00

Jai Ganesh · 2009-01-04 02:52:41

Answer to #1262:-
Atlast, you made a mistake
It is 1:2.

JaneFairfax · 2009-01-04 03:20:48

ganesh wrote:

Answer to #1262:-
Atlast, you made a mistake
It is 1:2.

This is what I always tell my friend about drinking glasses: a tall, thin glass is likely to have less volume than a short, fat glass (something my friend doesnt seem to be able to get into her head). This is because the volume of a cylindrical glass varies proportionally with the square of the base radius but only proportionally with the height. If you want a bigger glass (that is, one with a bigger volume) you should go for fatter ones rather than taller ones.

Jai Ganesh · 2009-01-04 03:25:20

JaneFairfax wrote:

If you want a bigger glass (that is, one with a bigger volume) you should go for fatter ones rather than taller ones.

Conceded. But the question speaks of cylinders (cans) of equal base areas and varying heights.

JaneFairfax · 2009-01-04 03:57:27

I know. I was just making an aside observation.

Jai Ganesh · 2009-01-05 02:14:00

#1266. What is the value of

?

#1267. If 39 men can complete a work in 14 days, how many men would be required to complete the same work in 6 days?

#1268. What is the value of x if

?

#1269.A candidate scoring 20% marks in an examination fails by 30 marks and another candidate who scores 32% marks gets 42 more than that required to pass. Find the total maximum marks.

#1270.The ratio between two numbers is 5:4. If 40% of the first number is 12, what is 50% of the second number?

#1271. Find the three numbers in the ratio 1:2:3 so that the sum of their squares is equal to 504.

#1272. Simplify:

.

#1273. Find the value of x if

.

#1274. Simplify:-

.

#1275. Find the value of

.

Math Is Fun Forum

#851 2009-01-01 03:47:43

Re: 10 second questions

#852 2009-01-01 18:03:37

Re: 10 second questions

#853 2009-01-01 23:59:47

Re: 10 second questions

#854 2009-01-02 02:34:08

Re: 10 second questions

#855 2009-01-02 22:42:08

Re: 10 second questions

#856 2009-01-03 01:07:40

Re: 10 second questions

#857 2009-01-03 01:40:51

Re: 10 second questions

#858 2009-01-03 01:51:58

Re: 10 second questions

#859 2009-01-03 02:38:36

Re: 10 second questions

#860 2009-01-03 02:56:15

Re: 10 second questions

#861 2009-01-03 03:20:14

Re: 10 second questions

#862 2009-01-03 16:44:15

Re: 10 second questions

#863 2009-01-03 18:07:18

Re: 10 second questions

#864 2009-01-03 20:41:14

Re: 10 second questions

#865 2009-01-03 23:23:56

Re: 10 second questions

#866 2009-01-04 01:54:34

Re: 10 second questions

#867 2009-01-04 02:08:36

Re: 10 second questions

#868 2009-01-04 02:13:53

Re: 10 second questions

#869 2009-01-04 02:29:23

Re: 10 second questions

#870 2009-01-04 02:42:00

Re: 10 second questions

#871 2009-01-04 02:52:41

Re: 10 second questions

#872 2009-01-04 03:20:48

Re: 10 second questions

#873 2009-01-04 03:25:20

Re: 10 second questions

#874 2009-01-04 03:57:27

Re: 10 second questions

#875 2009-01-05 02:14:00

Re: 10 second questions

Board footer