10 second questions

Jai Ganesh · 2009-01-11 01:07:07

Answer to #1359:-
Well done, JaneFairfax!

Jai Ganesh · 2009-01-11 01:24:30

#1365. What is the value of x if

?

#1366. What is the value of x if

?

#1367. What is the value of x if

?

JaneFairfax · 2009-01-11 01:29:59

Jai Ganesh · 2009-01-11 01:44:35

Answer to #1367:-
Perfectly right!

Jai Ganesh · 2009-01-11 02:03:44

#1368. Evaluate (28% of 450 + 45% of 280).

#1369. Evaluate

.

#1370. What is the value of x if x% of 25 = 2.125?

#1371. What is the value of x if 9% of x = 6.3?

#1372. What is the value of x if 0.25% of x = 0.04

#1373. If the Sales tax be reduced from

to , then what difference would it make to a person purchasing articles worth $8400?

#1374. An inspector rejects 0.08% of the meters as defective. How many would he have to examine to reject 2 meters?

#1375. Sixty-five percentage of a number is 21 less than four-fifth of that number. What is the number?

Jai Ganesh · 2009-01-11 22:44:50

#1376. If a - b = 3 and a² + b² = 29, find the value of ab.

#1377. Find the value of x if

.

#1378. If a + b + c = 13, a² + b² + c² = 69, find the value of ab + bc + ca.

#1379.Find the value of x if

.

#1380. Find the value of

.

JaneFairfax · 2009-01-11 23:32:50

Jai Ganesh · 2009-01-12 01:31:58

Answers to #1376, #1377, and #1378:-
All correct, JaneFairfax!

Jai Ganesh · 2009-01-12 02:24:53

#1381. What is the value of n if

?

#1382. What is the value of m is

?

#1383. What is the value of p if

?

#1384. What is the value of q if

?

#1385. What is the value of r if

?

Jai Ganesh · 2009-01-12 03:25:19

#1386. The salaries of A and B are in the ratio 9:4 respectively. When A's salary is increased by 15%, it becomes $5,175. What is B's salary?

#1387. Alfred borrowed an amount of $15,000 at 12% per annum simple interest and another amount at 15% per annum simple interest, both for a period of two years. He paid an amount of $9,000 as total interest. What is the total amount he had borrowed?

#1388. The length of a pair of opposite sides of a square is increased by 5 centimeters on each side. The ratio of the length and the breadth of the newly formed rectangle is 3:2. What is the area of the original square?

#1389. One-fifth of a number is equal to five-eighth of another number. When 35 is added to the first number, it becomes four times the second number. Find the second number.

#1390. Five-eighth of three-tenth of four-ninth of a number is 45. What is the number?

#1391. A shopkeeper purchased 150 identical Personal Computers at the rate of $250 each. He spent an amount of $2,500 on transport and packing. He fixed the label price of each Personal Computer at #320. However, he decided to give a discount of 5% on the labelled price. What is the profit percentage earned by him?

#1392. The compound interest on a certain amount at the rate of 5% per annum is $512.50. What is the principal amount?

#1393. What should creplace y in the following equation?

?

JaneFairfax · 2009-01-12 14:41:38

Jai Ganesh · 2009-01-12 17:30:52

Answers to #1389, #1390, and #1393:-
All correct, Janefairfax!

Jai Ganesh · 2009-01-12 18:44:34

#1394. 35 cows can graze a piece of land for 56 days. How many cows can graze a field three times as large in 35 days?

#1395. Thee persons, A, B, and C can finish a work in 60 days; 50 days; and 40 days respectively. The three together are paid $2220 for the job done together. How much would A get?

#1396. Three persons A, B, and C can do a piece of work in 15 days, 6 days, and 10 days respectively. In how many days would all the three together finish three times the work?

#1397. In an examination, in a class of 150 girls, 10% of the girls were absent, 60% of those who appeared for the examination passed and the rest failed. How many students failed in the examination?

#1398. $3,510 is divided among A, B, and C in such a way that 50% of A's share, 33 1/3% of B's share and 25% of C's share are equal. How much would C receive?

#1399.A sum of $370 is to be divided among a, b, and c such that

where A, B, and C represent a's share, b's share and c'share. What would a's share be?

#1400. If the diagonals of two squares are in the ratio 2:5, what would the ratio of their areas be?

Jai Ganesh · 2009-01-13 01:00:53

#1401. What is the value of

?

#1402. What is the value of

?

#1403. What is the value of

?

#1404. What can be inferred if

?

#1405. What is the value of

?

JaneFairfax · 2009-01-13 05:29:14

Jai Ganesh · 2009-01-13 18:44:05

Answers to #1394, #1396, #1400, #1401, #1402, #1403, #1404, and #1405:-
87.5%
All the answers other than the one to #1396 are correct. You missed 'three times the work' in the question by oversight! But for this mistake, the performance is remarkable!

Jai Ganesh · 2009-01-13 20:54:02

#1406. The area of a circle is 154 cm². What is its radius?

#1407. The cost of carpeting a room is $120. If the width had been 4 meters less, the cost of carpeting would have been $20 less. What is the width of the room?

#1408. The length of one side of a rhombus is 6.5 centimeters and its altitude is 10 centimeters. If the length of one of its diagonals is 26 centimeters, what is the length of the other diagonal?

#1409. The length, breadth, and height of a room are in the ratio 3:2:1. If the breadth and height are halved while the length is doubled, by what percentage would the area of the four rooms of the wall increase or decrease?

#1410. Between a square of perimeter 44 centimeters and a circle of circumference 44 centimeters, which of the two would be of larger area and by how much?

#1411. The ratio of length and breadth of a rectangular plot is 5:3. If the perimeter of the plot is 96 meters, what is its area?

#1412. he length of a pair of opposite sides of a square is reduced by 10% and the lenght of the other pair of sides is increased by 10%. By what percentage is the area of the newly formed rectangle greater or lesser than that of the square?

#1413. The diagonals of a rhombus are 30 centimeters and 40 centimeters long. Find its side.

#1414. The area of a trapezium of height 7 centimeters is 140 cm². If one of the parallel sides is 25 centimeters, what is the length of the other side?

#1415. The radius of a cycle wheel is 70 centimeters. Find how many times the wheel would have to revolve in order to cover a distance of 110 meters?

#1416. The areas of two circles are in the ratio 25:36. Find the ratio of their circumferences.

#1417. A horse is tied to a pole fixed at one corner of a 30 x 30 meter square field of grass, by means of a 10 meter long rope. Find the area (approximately) of that part of the field which the horse can graze.

#1418. The length of a rectangle, which is 25 centimeters, is equal to the elgnth of a square and the area of the rectangle is 125 cm² less than the area of the square. What is the breadth of the rectangle?

#1419. A rectangular sheet of paper 10 centimeters long and 8 centimeters wide has squares of 2 centimeters cut from each of its corners. The sheet is then folded to form a tray of depth 2 centimeters. What is the volume of the tray?

#1420. The diagonals of a rhombus are 24 centimeters and 10 centimeters long. What is the perimeter of the rhombus?

Jai Ganesh · 2009-01-15 00:20:14

#1421. The average salary per month of 30 employees of a company is $4,000. If the manager's salary is added, the average salary increases to $4,300. What is the manager's salary?

#1422. What is the value of x if

?

#1423. A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. What is the number?

#1424. Water-tax is increased by 20%. As a result, consumption decreases by 20%. What is the increase or decrease percentage on the expenditure?

#1425. A discount of 30% on the market price ofna toy reduces its Selling Price by $30. What is the new Selling Price?

#1426. What is the value of

if
?

#1427. The average of 6 numbers is 32. If one number is excluded, the average becomes 30. What is the excluded number?

#1428. In an election, a candidate secured 42% of the votes. The other candidate secured 58% of the votes and defeated him by 480 votes. There were no invalid votes. Find the number of votes polled.

#1429. If the three angles of a triangle are in the ratio 3:4:5, what is the value of the least angle in radians?

#1430. Three coins are tossed. What is the probability of getting atleast two tails?

Jai Ganesh · 2009-01-18 00:25:19

#1431. If it takes 50 workers 4 hours time to dig a drain, how long would it take 30 workers to dig the same drain?

#1432. A dealer owns a group of cars with 4 tyres each without any spare tyre. If the number of tyres in the cars is 30 more than twice the twice the number of cars, then how many cars does the dealer own?

#1433. Train Y leaves Chennai at 1.00 am and travels East at an average speed of x km/hour. If train Z leaves Chennai in the same direction, at what average speed would train Z have to travel in order to meet train Y by 5.30 am?

#1434. A worker is paid r Dollars for each hour he works up to 8 hours a day. For the time worked over 8 hours, he is paid at the rate of 1.5 Dollars per hour. What would be the amount he earns if he works 11 hours in a day?

#1435. Mechanics are paid twice the hourly wage of salesmen. Custudial workers are paid one-third of the hourly wage of mechanics. What fraction of the hourly wage of custodial workers are salesmen paid?

Jai Ganesh · 2009-01-19 04:00:08

#1436. In a class, three-fifth of the students arew girls and the rest are boys. If two-ninth of the girls and one-fourth of the boys are absent, what fraction of the class is present?

#1437. The sum of three numbers is 49. If the ratio f the first number to the second is 2:3 and the ratio of the second number to the third is 5:8, what is the second number?

#1438. The age of the father at present is twice the age of his son. Ten years later, he would be four-seventh of the age oh his son. What is the present age of the father?

#1439. The cost of one chair and three tables together is $306 while that of eight chairs and two tables together is $358. What is the cost of a chair?

#1440. A father can complete a work in 30 hours. He and his son together can finish the same work in 20 hours. In what time would the son alone complete the work?

Jai Ganesh · 2009-01-19 16:33:22

#1441. A sum of $12,500 amounts to $15,500 in four years at simple interesdt. What is the rate of simple interest?

#1442. The three sides of a triangle are 3cm, 4cm, and 5 cm. What is its area?

#1443. A boat goes downstream 60 kilometers in 5 hours and returns taking one hour longer. What is the speed of the current?

#1444. The breadth of a rectangular plot is 40% of its length. If the area of the plot is 250 m², what is the perimter of the plot?

#1445. How many numbers between 400 and 600 (both numbers included) are divisible by 4, 5, and 6?

#1446. What is the value of

?

#1447. What is the value of x if

?

#1448. A sum of money doubles itself in 5 years when compound interest is paid. In what time would the sum amount to eight times itself?

#1449. The sum of squares of two numbers is 145. If the square root of one of the numbers is 3, what is the square of the other number?

#1450. The product of three numbers when divided by 8 is 720. What is the prtoduct of their square roots?

Jai Ganesh · 2009-01-20 21:40:37

#1451. A student scores 91%, 88%, 86%, and 78% in four of the five subjects in a test. What must his score be in percentage in the fifth, in order to score an average of 85% if the maximum marks in all the subjects are 100?

#1452. A square is iscribed in a circle of area

square units. Find the area of the square.

#1453. A line segment is drawn from the point (3,5) to the point (9, 13). What are the coordinates of the midpoint of the line segment?

#1454. John rents a car for 'd' days. He pays $'m' per day for each of the first 7 days and half that rate for each additional day. Find the total charge if d>7.

#1455. The net price of a certain article is $306 after successive discounts of 15% and 10% on the marked price. what is the marked price?

Jai Ganesh · 2009-01-22 03:10:46

#1456. If x + y = 21 and 3x + y = 7, what are the values of x and y?

#1457. The material of a cone is converted into the shape of a cylinder. The radii of both the cone and the cylinder are equal. Find the height of the cone if that of the cylinder is 5 centimeters.

#1458. If a and b are odd numbers, which of the following is an even number?
(1) a + b + 1
(2) ab
(3) ab + 2
(4) a + b
(5) None of these

#1459. The volume of a right circular cone of height 12 centimeters and radius 8 centimeters is how many times the volume of a sphere of radius 4 centimeters?

#1460. How many multiples of 9 can be found which are less than 9999 and are perfect cubes?

Jai Ganesh · 2009-01-30 04:14:23

#1461. The perimter of a right-angled triangle is 144 centimeters. If the hypotenuse of the triangle is 60 centimeters and one of the other sides is 36 centimeters, what is the area of the triangle?

#1462. A and B have certain amounts in the ratio 3:5. If the difference between the amounts the two possess is $314, what is the sum of the amounts with A and B together?

#1463. What is the value of x if x:6::32:24?

#1464. A has $120 less than B. C has $60 more than A. If all the three together have $1080 totally, how much does B have?

#1465. There are five numbers. The average of the first four is 8 and the that of the last four is 10. If the first number is 4, what is the last number?

Jai Ganesh · 2009-01-30 19:49:35

#1466. The perimeter of the floor of a room is 18 meters. What is the total area of the walls of the room if the height of the room is 3 meters?

#1467. A rectangular cardboard sheet is 5 centimeters long and 2 centimeters wide.The circle of maximum possible area is cut off from the sheet. What is the remaining area is square centimeters?

#1468. What is the area of a square whose diagonal is 8 centimeters?

Math Is Fun Forum

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