# Math Is Fun Forum

Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #826 2008-12-26 02:29:34

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1066.

#1067.

#1068. A and B, working separately, can do a piece of work in 10 days and 15 days respectively. If they work on alternate days beginning with A, then in how many days would the work be completed?

#1069. The sides of a triangle are 5 cm, 12 cm, and 13 cm. Find its area.

#1070. The inner circumference of a circlular race track 14 meters wide is 440 meters. What is the radius of the outer circle in meters?

#1071. The time taken for a man to walk a certain distance and ride back is 4 hours 30 minutes. He could ride both ways in 3 hours. What is the time required by the man to walk both ways?

#1072.

#1073. If A = 4³ x 5² x 6 and B = 4² x 5 x 6², then what is the Greatest Common Divisor of A and B?

#1074. If x=12 and y=4, what is the value of

?

#1075. The sum of two numbers is twice their difference. If one of the numbers is 10, what is the other number?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #827 2008-12-26 04:06:37

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1076. If the point (a,a) lies on the line 3x + 4y - 14=0, then what is the value of a?

#1077. At what point does the line 3x-y+6 = 0 meet the x-axis?

#1078. If 2 sin A = 1, then what is the value of 3 tan² A + cot² A?

#1079. If θ = 0°, then what is the value of secθ(1-sinθ)(secθ + tanθ)?

#1080. What is the probability that a non leap year contains 53 Wednesdays?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #828 2008-12-26 17:13:07

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1081. If one-fourth of one-third of a number is 16, what is the number?

#1082. What is the value of x if

?

#1083. What is the value of 3.03 x 0.03 x 0.3?

#1084. A train is travelling at the speed of 45 kilometers per hour. What time will it take to cover a distance of four-fifth of a kilometer?

#1085. The edges of a cuboid are in the ratio 1:2:3 and its surface area is 88 cm². What is the volume of the cuboid?

#1086. The radius of a wheel is 21 centimeters. How many revolutions would it make in travelling 924 meters?

#1087. The sides of a rectangular plot are in the ratio 5:4 and its area is equal to 500 m². What is the perimeter of the plot?

#1088. 800 ml of a mixture contains milk and water in the ratio 5:3. How much more water is to be added to get a new mixture containing milk and water in the ratio 5:4?

#1089. Two numbers are in the ratio 9:8. If 8 is subtracted from both the numbers, the ratio becomes 8:7. What is the difference between the two numbers?

#1090. The sum of two numbers is 16 and the sum of their squares is 130. What are the numbers?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #829 2008-12-27 18:35:20

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1091. A sphere of radius 4 centimeters is put into water contained in a cylinder of base radius 8 centimeters. If the sphere is completely immersed in water, by what level would the water in the cylinder rise?

#1092. Simplify:

.

#1093. What is the value of

?

#1094. Find the sum of prime numbers lying between 60 and 75.

#1095. Find the value of x if

.

#1096. A fort had provision for 150 men for 45 days. After 10 days, 25 men left the fort. How long would the remaining food last at the same rate?

#1097. A sum of money is divided between two persons in the ratio 4:9. If the share of one person is 40 less than the other, find the sum.

#1098.Two numbers are 20% and 50% more than a third. What percentage is the first of the second?

#1099. The average of 11 results is 50. If the average of the first six is 49 and that of the last six is 52, find the sixth result.

#1100. What is the value of the asteriks in the given equation?

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #830 2008-12-27 20:10:25

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1101. One-fourth of one-third of two-fifth of a number is 15. What would 40% of the number be?

#1102. In a mixture of 20 kilograms, 10% is water. How much water should be added to raise the percentage of water to 25%?

#1103. The area of a square formed by a rope is 22 cm² . If a circle is formed with the same rope, then what would its area be?

#1104. What is the area of a triangle of base 10.2 centimeters and height 3.5 centimeters?

#1105. What is the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #831 2008-12-28 02:20:46

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1106. What sum will amount to $7000 in 5 years at 3 1/3% simple interest? #1107. The surface of water in a swimming pool is a rectangle 32 meters long and 9.5 meters wide. The depth of the water increases uniformly 2.5 meters at one end to 4.5 meters at the other end. What is the volume of water in the pool? #1108. A passenger train running at the speed of 80 kilometers/hour leaves the railway station 6 hours after a goods train leaves and overtakes the goods train in 4 hours. What is the speed of the goods train? #1109. A train running between two stations A and B arrives at the destination 10 minutes late when its speed is 50 kilometers/hour and 50 minutes late when the speed is 30 kilometers per hour. How far is station B from station A? #1110. The price of a book is$60 but the seller allows successive discounts of 20% and 30%. The net sale price is subject to a sales tax of 5%. How much would the buyer have to pay?

#1111. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days would A and b together complete the work?

#1112. Both the height and the base radius of a cone are increased by 100%. What is the percentage increase in volume?

#1113. A boat goes 20 kilometers downstream in one hour and the same distance upstream in two hours. What is the speed of the boat in still water?

#1114. Neil and Patrick started a business investing $3800 and$4600 respectively. If the net gain of $945 was to be distributed in accordance with their investments, what would the share of Neil be? #1115. If 4 workers can dig a 20 meter long ditch in 6 days, what is the part 2 workers would dig in a day (in meters)? It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #832 2008-12-28 12:33:48 bitus Member Registered: 2008-10-12 Posts: 20 ### Re: 10 second questions #1038. hint: 10=2+3+5 Offline ## #833 2008-12-28 16:43:12 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions Answer to #1038: Absolutely correct, bitus! It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #834 2008-12-28 16:50:32 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions #1116. In a school competition, the ratio of girls to boys is 3.5:4.5 and the total number of girls is 1540. Find the total number of participants in the competition. #1117. Ravi can make 1000 dolls in 40 days working 8 hours per day. In how many days can he make 1500 dolls working 10 hours per day? #1118. A rectangular block of depth 3 meters is 4 meters long and 2 meters broad iternally. How many metric tons of petroleum can it store if one meter cube of petroleum weighs 900 kilograms? #1119. By selling 11 oranges for a dollar, a shop-keeper loses 10%. How many should be sold for a dollar to gain 10%? #1120. Find the area of the trapezium whose parallel sides are 35 centimeters and 23 centimeters long and the distance between the parallel sides is 15 centimeters? It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #835 2008-12-29 01:44:49 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions #1121. What least number must be subtracted from each of the numbers 14, 17, 34, and 42 so that the remainders may be proportional? #1122. The fourth proportional to 5, 8, 15 is... #1123. 60 kilograms of an alloy A is mixed with 100 kilograms of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin anc opper in the ratio 1:4, what is the amount of tin in the new alloy? #1124. Two pipes can fill a tank in 20 and 24 minutes and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. What is the capacity of the tank? #1125. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes would it take to fill the tank from empty state if B is used for half the time and A and B fill it for the other half? It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #836 2008-12-29 01:49:43 JaneFairfax Member Registered: 2007-02-23 Posts: 6,868 ### Re: 10 second questions Offline ## #837 2008-12-29 02:17:22 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions Answer to #1123:- That should have been a fairly simple one for you , JaneFairfax; I am sure you wouldn't have required half the time allotted You are correct! It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #838 2008-12-29 03:21:23 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions #1126. What is the value of ? #1127. The perimeter of a rectangular field is 48 meters and the ratio between the length and the breadth is 5:3. What is the area of the field? #1128. The sum of three times a number and four times its reciprocal is 13. What is the number? #1129. A certain amount of profit is distributed among two business partners A and B in the ratio 3:1. If B's investment of$4000 was used for six months only, what is A's investment which had been used for the whole year?

#1130. Eight men can complete a work in 36 days. If 4 men are withdrawn after 10 days, how many days would the remaining men require to complete the remaining work?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #839 2008-12-29 08:24:55

bitus
Member
Registered: 2008-10-12
Posts: 20

### Re: 10 second questions

Are you sure about #1047 ?

Offline

## #840 2008-12-29 17:02:45

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

bitus,
for #1047, wouldn't the formula

be helpful in solving the problem? The LHS has to be found, and the RHS is given.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #841 2008-12-29 17:21:26

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1131. A 2 digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. What is the sum of the digits?

#1132. The sum of two numbers is 45. their difference is 5. What is the bigger number?

#1133. A student was asked to find the value of three-eighth of a number. Instead, he found the eight-third of the number and his answer exceeded the actual answer by 55. What was the correct answer?

#1134. What is the smallest number which when subtracted from the sum of squares of 11 and 13 gives a perfect square?

#1135. If the difference between the squares of two consecutive positive numbers is 167, what is the smaller number?

#1136. If r=4 and p=4, what is the value of

?

#1137. If the remainder obtained by subtracting a number from its own square is 6 times the number, what is the number?

#1138. An organization purchased 80 chairs for #9700. For the chairs of better quality, they paid $140 each and for each of the lower grade chair, they paid$50 less. How many better quality chairs did the organization buy?

#1139. Out of three consecutive even numbers, nine times the smallest is 20 more than seven times the biggest. What is the middle number?

#1140. What is the value of x if

?

#1141. A two digit number is 6 times the sum of its digits. When the sum of its digits is added to the number, the result is 63. What is the number?

#1142. The sum of three numbers is 60. If the ratio between the first and the second is 1:2 and that between the second and the third is 2:3, what is the smallest number?

#1143. Half of a number exceeds its one-third by 10. What is the number?

#1144. The sum of three consecutive numbers is 333. What is the sum of the last two numbers?

#1145. The sum of half a number, one-third of the number and one-fourth of the number exceeds the number by 12. What is the number?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #842 2008-12-29 18:51:55

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1146. Find the value of

if
.

#1147. Find the value of a if 8a+5b=22 and

.

#1148. Find the value of x if

.

#1149. Simplify:-

.

#1150. An employee spends two-fifth of his salary on house rent, three-tenth on food and one-eighth of his salary on conveyance. if he has $1400 left with him, find his total expenditure on food and conveyance. It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking. Online ## #843 2008-12-30 01:53:51 ganesh Administrator Registered: 2005-06-28 Posts: 34,492 ### Re: 10 second questions #1151. Find the value of . #1152. Simplify:- . #1153. What is the Greatest Common Divisor of 630, 1050, and 1260. #1154. What is the greatest number of four digits which would leave a remainder of 1 when divided by 6, 9, 12, 15, or 18? #1155. Find the square root of 2480625. #1156. If 20y² + 17y + 3 = (4y+1)(5y+3), find the factors of (i) 2173 (ii) 201703 #1157. Find the value of x if . #1158. Find the value of . #1159. Find the square root of 980100. #1160. The income of A and B is in the ratio 4:3. Their expenditure is in the ratio 3:2. If they both save$600 at the end of the year, find the annual income of each.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #844 2008-12-30 05:21:10

JaneFairfax
Member Registered: 2007-02-23
Posts: 6,868

Offline

## #845 2008-12-30 07:03:30

bitus
Member
Registered: 2008-10-12
Posts: 20

### Re: 10 second questions

Dear ganesh, I mean this: since  ( x+y+z ) ^ 2 = ( x^2+y^2+z^2 ) + 2 ( xy+yz+xz ) , then 20^2=33+2*18 or 400=69!!!

Offline

## #846 2008-12-30 18:12:26

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

bitus,
You are correct! That was a big mistake! Thanks for correcting me. I shall edit the question. Thanks again!

You are correct, JaneFairfax! Well done!!!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #847 2008-12-30 19:10:09

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1161.  If A = 4³ x 5² x 6 and B = 4² x 5 x 6², what is the Greatest Common Divisor of A and B?

#1162. [/math]\left(\frac{1}{3}\right) : \left(\frac{4}[5} :: 0.4 : ?[/math]

#1163. 8917 x 113 + 8917 x 87 = ?

#1164. Which is the least perfect square divisible by 21, 36, and 66?

#1165. The average age of boys in a class is 12 years. 5 new boys are admitted to the class whose average age is 7 years. What is the new average of the class?

#1166. What is the value of x if

.

#1167. What is the value of x if

?

#1168. A can do a work in 9 days and B can do the same work in 18 days. They began the work together but 3 days before completion of the work, A leaves. What is the time taken to complete the work?

#1169.

.

#1170. If (0.75)²  + (0.5)²  = x²  + (0.05)² , what is the value of x?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #848 2008-12-31 02:14:34

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1171. If (x-1) is a factor of 3x²-2x-p, then what is the value of p?

#1172. What is the Least Common Multiple of (x³-1) and (x-1)³?

#1173. What is the Least Common Multiple of (x+1)²(x-3) and (x²-9)(x+1)?

#1174. If the product of two monomials is

and their Greatest Common Divisor is 6x², what is their Least Common Multiple?

#1175. What should appear in the place of '?' ?

.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #849 2008-12-31 17:08:18

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1176. What is the area of a square whose side is equal to the diamter of a circle having area 154 cm²?

#1177. What is the area of a triangle whose sides are 8 cm, 10 cm, and 12 cm?

#1178. A room of size 6.75 meters long and 5.75 meters wide is to be paved with square tiles. What is the minimum number of square tiles required?

#1179. A square is converted into a rectangle by increasing its length by 20% and decreasing its width by 20%. What is the ratio of the area of the newly formed rectangle to that of the square?

#1180. The cost of levelling a square field at 15 cents  per square meter is $135. What would be the cost of fencing the same field if the unit cost of fencing is 50 cents per meter? #1181. The length and breadth of a rectangular plot of land are in the ratio 5:3. The owner spent$3000 for surrounding it on all the sides at the rate of $7.50 per meter. What is the difference between the length and breadth of the plot? #1182. a rectangle has its length twice the breadth. If the area of the rectangle is 200 square units, what is its perimeter? #1183. What is the ratio of the perimeter of a circle to that of its semicircle, having radius 14 cm? #1184. A two meter wide road is to be constructed surrounding a square plot of area 144 m². If the unit cost of construction is$250 per square meter, what is the total cost of construction?

#1185. A room is of size 12 feet inlength, 12 feet in breadth and 6 feet high. What is the size of the longest stick which can be accomodated in the room?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #850 2009-01-01 00:02:03

ganesh Registered: 2005-06-28
Posts: 34,492

### Re: 10 second questions

#1186. 38% of first number is 52% of the second number. What is the respective ratio of the first number to the second?

#1187.What is the compound interest on an amount of $12000 at the rate of 10% per annum at the end of 3 years? #1188. the average age of a man and his son is 54 years. The ratio of their ages is 23:13 respectively. What would be the ratio of their ages after 6 years? #1189. A single person takes 3 minutes to write a letter. If from 10 a.m. to 12.00 noon, 1960 letters are to be written, how many persons should be employed in the job? #1190. The owner of a Gift shop charges his customer 28% more than the cost price. If a customer paid$1408 for some soft toys, what was the cost price of these toys?

#1191. If the product of two successive positive integers is 3192, find the smaller integer.

#1192. A sum of money is divided among A, B, C, and D in the ratio 4:5:7:11 respectively. If the share of C is $1351, what is the total share of A and D together? #1193. The difference between 73% of a number and 58% of the same number is 960. What is 22% of that number? #1194. In a class of 55 students and 3 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 60% the total number of students. How many sweets were distributed? #1195. If (108)² is added to the square of a number, the answer so obtained is 13033. What is the number? #1196. In an examination, it is required to get 350 of the aggregate marks to pass. Astudent gets 32% marks and is declared failed by 70 marks. What is the maximum aggregate marks a student can get? #1197. What number should replace 'a' in the following equation? . #1198. the simple interest accrued on an amount of$9530 at the end of 6 years is \$2859. What is the rate of interest per annum?

#1199. What is the value of x if x ÷ 52 x 12 = 252?

#1200. What is the value of n if

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online