10 second questions

Jai Ganesh · 2009-01-05 02:15:44

#1276. What must be added to 2203 to make it a perfect square?

#1277. A cloth merchant on selling 33 meters of cloth obtains a profit equal to the selling price of 11 meters of cloth. Find the profit percentage.

#1278. If the average marks of three batches of 55, 60, and 65 students are 50, 55, and 60 respectively, what is the average marks of all the students?

Jai Ganesh · 2009-01-06 02:20:00

#1279. What is the probability that a two-digit positive number is less than 60 and divisible by 3?

#1280. In a castle, there is provision of food for 150 men for 50 days. After 20 days, 50 men leave the castle. How many days would the remaining food last for?

#1281. If the perimeter of a rectangular garden is 1200 meters and the ratio of the length to the width is 3:5, what is the length in meters?

#1282. Find the simple interest on $2400 at 7½ % for 3 years and 3 months?

#1283. for what value of x is the inequality x²+10x+24 ≥ 0 satisfied?
(i)

(ii)
(iii)
(iv)
(v) .

#1284. The average age of 25 students in a class is 16. If the teacher's age is included, the average increases by 1.5. What is the teacher's age in years?

#1285. Charlie started a business investing $60,000. After 4 months, Alfred joined him with a capital of $80,000. If at the end of the year, the total profit was $34,000, what would Alfred's share of the profit be?

#1286. 12 men can complete a work in 16 days. Four days after they started the work, four more men joined them. How many days would they take to complete the remaining work?

In each of the following series, a wrong number is given. Find out that number.

#1287. 1260, 360, 69, 18, 3

#1288. -2, 1, 6, 13, 21, 33, 46, 61.

#1289. 7, 8, 18, 57, 228, 1165, 6996.

#1290. 361, 324, 289, 255, 225, 196.

#1291. 1440, 240, 36, 12, 4, 2, 2.

JaneFairfax · 2009-01-06 02:46:09

JaneFairfax · 2009-01-06 03:19:35

JaneFairfax · 2009-01-06 03:20:44

Jai Ganesh · 2009-01-06 03:34:37

Answers to #1284, #1286, and #1290:
All correct, JaneFairfax!

I remember you had said in an earlier post ( and think you had demonstrated too) that there can be any number of solutions. I remember the question.
The question was something like
15, 34, 65, 111, 175, ___

Jai Ganesh · 2009-01-06 03:47:31

#1292. The area of a square with side equal to 9 cm is one-sixth of the area of a rectangle., whose length is six times its breadth. What is the perimter of the rectangle?

#1293. The ratio of length and breadth of a rectangle is 5:4. If the breadth is 20 meters less than the length, what is the perimeter?

#1294. The length, width, and height of a room are 6m, 4m, and 3m respectively. What is the cost of painting all the four walls and the ceiling if the cost of painting is $100 per square meter?

#1295.What is the ratio of area of a square to the area of another square drawn on its diagonal?

#1296. The rectangular floor of a room having dimensions 20 feet x 30 feet needs to be carpeted. If the side margin is to be kept at 1 foot on all sides, what percentage of the area of the room would be covered by the carpet?

#1297.A rectangular frame of 64 cm length and 54 cm breadth is to be surrounded by stickers of 2 cm x 2 cm size. How many stickers would be required for the work?

#1298. A circular garden of radius 42 meters is to be surrounded by a road 4.2 meters wide. What is the ratio of the area of the road to that of the garden?

#1299. A Chess board contains 64 equal squares and the area of each square is 6.25 cm². A border round the board is 2 cm wide. What is the length of the side of the chess board?

#1300. An athletic track 14 meters wide consists of two straight sections 120 meters long joining semi-circular ends of inner radius 35 meters. What is the area of the track?

JaneFairfax · 2009-01-06 09:31:10

Last edited by JaneFairfax (2009-01-06 10:52:09)

Jai Ganesh · 2009-01-06 16:33:48

Answers to #1292, #1293, #1295, #1299, and #1300:
All other than #1293 are correct!

I thought #1293 was the simplest of all the questions in the set

Jai Ganesh · 2009-01-06 16:50:45

#1301. The ratio of the number of boys to that of number of girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, find the percentage of the school students who are not scholarship holders.

#1302. The cost of diamond varies as the square of its weight. A diamond weighing 10 carats costs $32,000. Find the loss incurred when it breaks into two pieces whose qweights are in the ratio 2:3.

#1303. The ratio of first and second class fares between two railway stations is 4:1 and the ratio of number of passengers travelling by the first class and the second class is 1:40. If a total of $1100 is collected as fare from passengers of both classes, what is the amount collected from first class passengers?

#1304. a vessel contains a mixture of water and milk in the ratio 1:2 and another vessel contains the mixture in the ratio 3:4. Taking 1 kilogram from each mixture, a new mixture is prepared. What would be the ratio of water and milk in the new mixture?

#1305. In an examination, the number of successful students was 4 times the number of unsuccessful students. If there were 35 less tudents and the number of unsuccessful students were 9 more, then the ratio would have been 2:1. Find the total number of students.

JaneFairfax · 2009-01-06 22:36:56

Grrr, why do I keep making careless mistakes?

Jai Ganesh · 2009-01-06 22:55:38

You are correct, JaneFairfax!

#1306. Ten years ago, A was half of B's age. If the ratio of their present ages is 3:4, what is the total of their present ages?

#1307. The sum of the father and his son is 100 years now. 5 years ago, their ages were in the ratio 2:1. What would be the ratio of the agesof the father and the son after 10 years?

#1308. The ratio of ages of Jack and Jill is 4:3. The product of their ages is 432. What would be the ratio of their ages after 18 years?

JaneFairfax · 2009-01-06 23:00:26

Jai Ganesh · 2009-01-07 02:51:05

Answer to #1306:-
Correct, JaneFairfax!

Jai Ganesh · 2009-01-07 03:03:31

#1309. The difference between the numerator and denominator of a fraction is 5. If 5 is added to the denominator, the fraction is reduced by

. Find the fraction.

#1310. To a certain number, 7 is added. The sum is multiplied by 5, the product is divided by 9 and 3 is subtracted from the quotient. The resultant is 12. What is the number?

#1311. 54 is divided into two parts such that the sum of 10 times the first and 22 times the second is 780. Find the bigger part.

#1312. Two poles of heights 10 meters and 12 meters are standing on a plane surface. If their feet are 12 meters apart, find the distance between their tops.

#1313. The difference between three-fourth of two-fifth of a number and four-fifth of two-eighth of the same number is 5. What is the number?

JaneFairfax · 2009-01-07 03:15:09

Last edited by JaneFairfax (2009-01-07 03:34:47)

Jai Ganesh · 2009-01-07 03:35:56

Answers to #1307 and #1308 :
Both correct, JaneFairfax!

Answer to #1310:

Correct, JaneFairfax!

JaneFairfax · 2009-01-07 03:42:45

Jai Ganesh · 2009-01-07 04:00:29

Answer to #1311:

JaneFairfax! I hope you did this one too in your head!

JaneFairfax · 2009-01-07 04:05:32

No, not quite. But I did do

all in my head again.

JaneFairfax · 2009-01-07 15:03:11

Jai Ganesh · 2009-01-07 18:48:28

Answers to #1312 and #1313:-
JaneFairfax, your answer to #1313 is correct!

Your answer to #1312 isn't. Please read the question again.

Jai Ganesh · 2009-01-07 19:07:06

#1314. Which of the following figures has the longest perimeter?
(1) A square of side 10 cm.
(2) A rectangle of sides 12 cm and 9 cm.
(3) A circle of radius 7 cm.
(4) A rhombus of side 9 cm.

#1315. The perimeter of a square and a rectangle are the same. If the rectangle is 10 cms by 8 cms, what percentage of the area of the square will be more than that of the rectangle?

#1316. A large water-melon weighs 20 kilograms and 96% of its weight is water. It is kept in the sun and some of the water evaporates, as a result, the weight of water is reduced to 95% of the weight of the water-melon. What is the reduced weight of the water-melon?

#1317. The population of a city is 155625. For every 1000 men, there are 1075 women. If 40% of men and 24% of women be literate, then what is the percentage (in whole number, ignore the decimal) of literate people in the city ?

#1318. In an election there were two candidates A and B. 20% of the voters did not vote. 10% lf the votes polled were declared invalid. A received 50% of the polling (including invalid votes)and won by 600 votes. What was the total number of voters?

Jai Ganesh · 2009-01-08 00:41:20

#1319. There are 100 students in a college, of which 36 are boys studying statistcs and 13 girls not studying statistics. If there are 55 girls in all, what is the probability that a boy picked at random does not study statistics?

#1320. An article manufactured by a company consists of two parts X and Y. In the process of manufacture of part X, 9 out of 104 parts may be defective. Similarly, 5 out of 100 are likely to be defective in the manufacture of part Y. What is the probability that the assembled product is not defective?

careless25 · 2009-01-08 08:24:21

Math Is Fun Forum

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