10 second questions

Jai Ganesh · 2009-01-31 00:59:08

#1469. A boy drives 150 kilometers from A to B in 3 hours and 20 minutes; and returns to A in 4 hours 10 minutes. By how much does his average speed from A to B exceed the average speed for the entire trip?

#1470. The ratio of ages of two sisters at present is 1:2. After 4 years, the ratio would be 2:3. What is the present age of the elder sister?

Jai Ganesh · 2009-02-06 00:34:38

#1471. Let S be the set of prime numbers greater than or equal to 2 and less than 100. How many consecutive zeros would the product of all the elemnts of S end in?

#1472. Convert the number 1982 in base 10 to base 12. What is the number you would get?

Jai Ganesh · 2009-02-06 01:51:29

#1473. Two full tanks, one cylindrical in shape and the other conical, contain jet fuel. The cylindrical tank holds 500 liters more than the conical tank. After 200 liters have been pumped out from each tank, the cylindrical tank contins twice the volume of fuel in the conical tank. How many liters of fuel did the cylindrical tank have when it was full?

#1474. If a, b, and c are the three sides of a triangle and if a² + b² + c² = bc + ca + ab, then what can be said about the triangle?

Jai Ganesh · 2009-02-06 02:27:10

#1475. A number is divided in the ratio 3:2:4. If the third number is 36, what are the other two numbers?

#1476. One-third of the water in a vessel evaporates on the first day, and three-fourth of the remaining evaporates on the second day. What fraction of the original content remains at the close of the second day?

#1477. If 60 men can build 4 bridges in 12 months, how many men are required to build 6 bridges in 4 months?

#1478. If a 60 meter long train passes a signal post in 6 seconds, what is the speed of the train in kilometers per hour?

#1479. What is the value of

?

#1480. What is the value of xyz if

?

Jai Ganesh · 2009-02-07 02:46:35

#1481. What is the value of

?

#1482. What is the value of

?

#1483. What is the value of x if

?

#1484. The parallel sides of a trapezium are 80 centimeters and 45 centimeters. If its area is 3125 square centimeters, what is the perpendicular distance between the parallel sides?

#1485. If (a + 2)² = 9 and (b + 3)² = 25, what is the maximum value of

?

Jai Ganesh · 2009-02-07 17:34:00

#1486.

of the water in a vessel evaporates on the first day, and of the remaining evaporates on the seond day. What fraction of the original content is in the vessel at the close of the second day?

#1487. Two cubes each of side 12 centimeters are joined together by joining two sides of the cubes. What is the surface area of the resulting cuboid?

#1488. If 15 cubic centimeters of water evaporats from 60 cubic centimeters of 3% salt solution, what is the percentage of salt in the new solution?

#1489. If a traingle whose base is 7 units is equal in area to a circle of radius 7 units, what is the altitude of the triangle?

#1490. The diagonal of the floor of a room is 7.5 meters and the shorter side of the room is 4.5 meters. What is the area of the room in square meters?

#1491. If ax + by = 12 ay, and ay ≠ 0, what is the value of

?

#1492. A metallic cube of edge 3 centimeters is painted white on all the sides. It is then cut into 27 equal cubes of edge 1 centimeter each. How many of these cubes would have no face painted?

#1493. If a = 0, for what value of b is the following equation valid?

#1494. There are 32 students; of them, 20 are males. 22 students are graduates and 3 females in the group are not graduates. How many males in the group are graduates?

#1495. If x and y are distinct integers, both divisible by 5, which of the following is not necessarily true?
(1) (x - y) is divisible by 5
(2) (x + y) is divisible by 10
(3) xy is divisible by 25
(4) x² + y² is divisible by 5.
(5) (x + y) is divisible by 5.

Jai Ganesh · 2009-02-07 18:39:15

#1496. Find the value of a if

.

#1497. A sum of money doubles itself in 8 years at simple interest. What is the rate of interest?

#1498. From a square paper of side 10 centimemetrs, the largest possible circle is cut. Find the area of the circle.

#1499. What is a single discount equal to successive discounts of 10% and 15%?

#1500. If

, find the value of .

Jai Ganesh · 2009-02-12 03:10:05

#1501. Find the volume of the cubical tank open at the top, if the cost of coating its inside works out to $750 at the rate of $2.50 per square meter (negligible thickness).

#1502. The sum of the series m, 5m, 25m, 125m, .. up to 6 terms is 19530. Find the value of m.

#1503. Find the value of

.

#1504. Find the value of x if

.

#1505. A motorbike runs a distance of 648 kilometers. The time in hours taken to cover the distance is half the speed of the motorbike in kilometers per hour. What is the time taken for travelling the distance?

#1506. If

, then which of the following is true?
(1) x = 2b
(2) x = 2a
(3)
(4) a = 2b
(5) b = 2a

#1507. If

, then what is the value of ?

#1508. If

, then what is the value of ?

#1509. What is the value of

?

#1510. When the sun is 30° above the horizontal, what is the length of the shadow cast by a building 100 meters high?

#1511. The lines joining the mid-points of a quadrilateral form a
(1) Parallelogram
(2) Rectangle
(3) Square
(4) Rhombus
(5) None of these

#1512. In a circle having center at O, AB and CD are two diameters, perpendicular to each other. What is the area of ABCD in terms of AB?

#1513. If the dimensions of each side of a rectangle is increased by 100%, by what percentage would the area increase?

#1514. The diameter of a circular disc is decreased by 50%. By what percentage is its area decreased?

#1515. If the radius of a sphere is made half of its actual length, the volume of the new sphere would be how many times the volume of the original sphere?

Jai Ganesh · 2009-02-15 00:30:29

#1516. If

,
what can be said about x and y?

#1517. What is

equal to?

#1518. Given m@n = m + n + mn, what is the value of 2@3?

#1519. Given m@n = m + n + mn, for what value of q would
m@q = m?

Jai Ganesh · 2009-02-16 03:55:39

#1520. if a, b, and c are three positive integers and ab=8 and bc=9, what are the values of a,b, and c?

#1521. Which is the smallest number which leaves a remainder of 2 when divided by 4, 6 or 7?

#1522. Find the 12th term of the Arithmetic Progression 3, 7, 11, 15, ... .

#1523. The 8th term of an Arithmetic Progression is 36. Find the sum of the first 15 terms of the Arithmetic progression.

#1524. Calculate the amount payable if an amount of $100 is invested at 5% compound interest compounded annually for 2 years.

#1525. Find the value of

if
.

#1526. if a + b = c = -5, ab + ac + bc = 2, find the value of

.

#1527. The present ratio of the age of a father and his son is 5:3. Ten years later, the ratio would be 3:2. Find their present ages.

#1528. The area of the surface of a sphere is

. What is its volume?

Jai Ganesh · 2009-02-19 03:46:27

#1529. If a, b, and c are real numbers, what is the value of

?

#1530. What is the value of x if

?

#1531. What is the value of x if

?

#1532. What is the value of x if

?

#1533. If m and n are whole numbers such that

, what is the value of ?

Jai Ganesh · 2009-02-20 02:15:22

#1534. What is 25% of 30% of

of 2000?

#1535. 44% of 88 - 8% of 305 = ?

#1536. 5% of income of A is equal to 15% of income of B. 10% of income of b is equal to 20% of income of C. if the income of C is $2000, what is the total income of A, B, and C?

#1537. If the side of a square is increased by 25%, by what percentage is its area increased?

#1538. a student has to secure 40% marks to pass in a test. He gets 90 marks and fails by 10 marks. What is the maximum marks?

Jai Ganesh · 2009-02-20 03:06:03

#1539. A circular park has a path of uniform width around it. The difference between the outer and the inner circumferences of the circular path is 132 meters. What is its width?

#1540. The base of a paraellelogram is twice its heaight. If the area of the parallelogram is 72 square centimeters, find its height.

Jai Ganesh · 2009-02-21 01:23:17

#1541. If

denotes the cube root of unity, what is the real toot of the equation
?
(1)
(2)
(3)
(4)

Jai Ganesh · 2009-02-23 02:52:40

#1542. The observations 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?

#1543. A number is chosen at random from the first 120 Natural numbers.What is the probability that the chosen number would be a multiple of 5 or 15?

#1544. What is the value of

?

#1545. What is the Least Common Multiple of 4!, 8!, and 13!?

#1546. How many terms are there in the expansion of

?

#1547. How many terms can a polynomial of degree n have at most?

#1548. What is the value of sin 1950° - cos 1950° ?

JaneFairfax · 2009-02-23 04:06:36

Last edited by JaneFairfax (2009-02-24 00:25:39)

Jai Ganesh · 2009-02-23 16:39:26

Answers to #1545, and #1546:-
Answer to #1545:-

The question is to be answered within 10 seconds. This a question to test whether you think rightly when you think with less time at your disposal.
Answer to #1546:- The tenth power of a binomial expansion contains 11 terms. If the binomial is of the form

,
five of them would be negative.
These terms would cancel with the five terms of

which means, 6 terms would remain.

Jai Ganesh · 2009-02-24 01:28:14

#1549. A and B are two sets such that

has 18 elements, A has 8 elements, and B has 15 elements. How many elemnts would have?

#1550. What is the value of

?

Jai Ganesh · 2009-02-25 16:39:41

#1551. What is the value of

?

#1552. What is the value of

?

#1553. What is the value of x if

?

Jai Ganesh · 2009-02-26 04:00:49

#1554. What is the sum

?

#1555. The 7th term of an Arithmetic Progression is -15 and the 16th term is 30 Find the common difference.

#1556. A cone of radius 7 cm has slant height 25 cm. What is the curved surface area of the cone?

#1557. If (x+1) is a factor of

,
what is the value of m?

#1558. A chord is 15 cm away from the center of a circle of radius 17 cm. Find the length of the chord.

Jai Ganesh · 2009-02-27 03:28:20

#1559. What is the value of x if

?

#1560. What is the value of x if

?

#1561. What is the value of x if

?

Jai Ganesh · 2009-02-28 03:42:59

#1562. the ratio of two numbers is 3:4 and their Greatest Common Divisor is 4. What is their Least common Multiple?

#1563. If the sum of two numbers is 55, and the greatest Common divisor and Least Common Multiple of these numbers are 5 and 120 respectively, what is the sum of the reciprocal of the numbers?

#1564. Four bells first begin to toll together at intervals of 6, 7, 8, and 9 seconds respectively. How many times do all the bells toll together in two hours?

#1565. Find the least number when divided by 36, 48, and 64 leaves remainders of 25, 37, and 53 respectively.

#1566. What are the numbers between 200 and 300 which are divisible by 6, 8, and 9?

JaneFairfax · 2009-02-28 12:03:24

Jai Ganesh · 2009-02-28 17:49:47

Answers to #1563, and #1566:-
Both the answers are correct, JaneFairfax!!!

JaneFairfax, I am not sure if the question #1566 was worded correctly, but what I intended to ask was what were the numbers between 200 and 300 divisible by all the three numbers, 6, 8, and 9.

#1567. If 120 is 20% of a number, what is 120% of that number?

#1568. A container is full of milk. Half of the quantity is sold and the remaining part of the container is filled with water. Again, half the contents are sold and the remaining part of the container is filled with water. This operation is repeated the third time. What is the percentage of milk in the container after the third operation?

#1569. If two numbers are 30% and 40% more than a third number respectively, what percentage of the second number is the first?

#1570. If 37% of 150 + 25% of x = 120 ½, what is the value of x?

#1571. A person saves 20% of his income every year. If his income increases every year by 10%, by what percentage does his saving increase every year?

#1572. A number is increased by 20%, then again increased by 20%. By what percentage should the number be decreased in order to result in the original number?

#1573. If 60 is subtracted from 60% of a number, the result obtained is 60. What is the number?

#1574. In a class, 60% of the students pass in an examination in English, and 45% of the students pass in Mathematics. If 30% of the students pass in both the subjects, what is the percentage of students who failed in both the subjects?

#1575. If x% of x is equal to 36, what is the value of x?

Jai Ganesh · 2009-03-01 18:20:39

#1576. What is the value of x if

?

#1577. What is the value of

?

#1578. A company manufactures 2 products X and Y. I unit of X requires 3 units of material A and 4 units of material B. One unit of Y requires 5 units of material A and 6 units of material B.Find the total number of units of material B which were used if 37 units of X and 43 units of Y were produced.

#1579. A person named Ashwin fixwes poles in the ground, taking 1 minute to fix a pole. Another person named Bharath starts upooting the poles after Ashwin has fixed 20 poles. Both continue their work simultaneously. After how many minutes from the time Bharath starts uprooting the poles would the number of poles uprooted be exactly half the number of poles fixed by Ashwin till that time?

#1580. Mike is 5 years elder than his wife and they have a son and a daughter. If the daughter is 23 years younger than Mike and the son is 16 years younger than his other, what is the difference in the ages of the brother and the sister?

Math Is Fun Forum

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