10 second questions

careless25 · 2008-12-19 17:55:39

i m sleepy so i might have made mistakes.

Last edited by careless25 (2008-12-20 03:42:32)

Jai Ganesh · 2008-12-19 18:23:57

Answers to #962, #963, #964, #965, #966 and #970:-careless25, all the answers other than #970 are correct. Please hide your answers using the hide tag.
Very well done, careless25!

#971. A boy was asked to multiply a certain number by 50. He multiplied it by 30 instead and got an answer less than the correct one by 400. What was the number to be multiplied?

#972.Two numbers are said to be in the ratio 3:5. If 9 is subtracted from each, they are in the ratio 12:23. Find the numbers.

#973. 0.6 of a number is equal to 0.08 of another number. What is the ratio of the numbers?

JohnnyReinB · 2008-12-19 19:52:32

Jai Ganesh · 2008-12-19 21:45:24

Answer to #971:-
That one should have been fairly simple to you, JohnnyReinB!
Well done!!!

#974. The sum of three numbers such that each is divisible by 3 and are in Arithmetic Progression is 72. Which is the largest among them?

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

#976. A man spends two-fifth of his earnings. One-fourth of the expenditure goes for food, one-fifth on rent, two-fifth on travel and the rest on donations. If his total earnings is $5,000, what is the expenditure on donations?

#977. On dividing a number by 4, the sum of quotient and the remainder is 8 and sum of their squares is 34. Find the number.

#978. From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. Then there are left 5 girls for each boy. Find the number of girls in the beginning.

#979. Find the value of integer x if

.

#980. The average of seven consecutive numbers is 20. Which is the largest of these numbers?

Jai Ganesh · 2008-12-20 02:04:17

#981. Find the value of

.

#982. Find the value of

.

#983. Find the value of

.

Jai Ganesh · 2008-12-20 02:31:40

#984. Sachin is 4 years younger than Rahul. If their ages are in the ratio 7:9 respectively, how old is Sachin?

#985. Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence, the ratio would be 6:7. What is X's present age in years?

#986. The product of the ages of Andrew and Neil is 240. If twice the age of Neil is more than Andrew's age by 4 years, what is Neil's age?

#987. Find the value of x if

.

#988. Evaluate

#989. Evaluate

.

#990. If x=1+√2 and y=1-√2, find the value of (x² + y²).

Jai Ganesh · 2008-12-20 18:37:24

#991. The difference between the circumference and the radius of a circle is 37 centimeters. What is the area of the circle?

#992. Which of the two, a square of perimeter 44 centimeters and a circle of circumference 44 centimeters has larger area and by how much?

#993. If the ratio of areas of two circles be 4:9, what would the ratio of their circumferences be?

#994. What is the number of revolutions a wheel of diameter 40 centimeters makes in travelling a distance of 176 meters?

#995. If one-third of one-fourth of a number is 15, then what is three-tenth of that number?

#996. A number is doubled and 9 is added. If the resultant is multiplied by 3, it becomes 75. What is the number?

#997. When 24 is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that number?

#998. The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

#999. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

#1000. Find the value of

.

Jai Ganesh · 2008-12-21 01:42:00

#1001. Find the value of

.

#1002. Find the value of

.

#1003. Find the value of

.

#1004. If

,
find the value of .

#1005. What is the value of

if .

Jai Ganesh · 2008-12-22 02:21:52

#1006. A solid of iron of dimensions 49 cm x 33 cm x 24 cm is moulded into a sphere. What would the radius of the sphere be?

#1007. What is the ratio of the volume of a cube to that of a sphere which would fit inside the cube?

#1008. What is the value of

?

#1009. What is the value of

?

#1010. What is the value of

?

Jai Ganesh · 2008-12-22 16:29:37

#1011. What is the value of

?

#1012. What is the value of 876² - 875² ?

#1013. What is the value of

?

#1014. What is the value of

?

#1015. What is the value of x³ - 18x² + 108x - 216 if x=17?

#1016. What is the value of

if ?

#1017. Find the value of x if

.

#1018. Find the value of

?

#1019. If x+y+z=9 and xy+yz+xz=40, find the value of x²+y²+z².

#1020. Evaluate 53 x 55.

careless25 · 2008-12-22 16:52:49

Jai Ganesh · 2008-12-22 19:55:48

Answers to #1011, #1012, #1013, #1014, #1015, and #1016:-
Answers to #1011, #1012, and #1015 are correct.
Since you know the answers to #1013 and #1014 are also treated as correct.
You have scored five out of six correct!
#1013 should have been

. I am sorry for the mistake. Since there was a typographic error, you deserved to be awarded a mark for that!
#1014 is of the form (a+b)²/(a+b)³
#1016 isn't correct

Jai Ganesh · 2008-12-22 21:27:40

#1021. If a+b=20 and a²+b²=58, find the value of a³+b³.

#1022. What is the value of

?

#1023. What is the value of x if

/

#1024. If a² + b² = 30 and

, find
.

#1025. If

,
then what is the value of
?

Jai Ganesh · 2008-12-23 02:47:49

#1026. A, B, and C can do a piece of work in 7 days, 14 days, and 28 days respectively. If they work together, in how many days would the work be finished?

#1027. The diameter of a cone is 1.4 centimeters. Its slant height is 4.2 centimeters. What is its curved surface area?

#1028. A train 150 meters long crosses a platform 175 meters long in 13 seconds. What is the speed of the train in kilometers per hour?

#1029. If A : B = 2 : 3, B : C = 4 : 5, C : D = 6 : 7, then what is A : D?

#1030. What is the value of

?

#1031. What is the value of

?

#1032. if 30% of 1860 + 40% of 820 = a% of 3544, what is the value of a?

#1033. If three-seventh of two-fifth of a number is 198, what is the number?

#1034. In a triangle ABC, find angle B if angles (B+C) = 130° and angle A = angle C?

#1035. What is the value of

?

bitus · 2008-12-23 12:24:04

Jai Ganesh · 2008-12-24 03:15:14

Answers to #914, #915, #916, #919, #923, #924, #925, #926, #927, #1016, #1021, #1024, #1025, #1026, and #1028:-

bitus, Excellent performance!!! All correct!!!

Jai Ganesh · 2008-12-24 03:19:44

#1036. The perimter of a rectangle is 32 centimeters and its area is 48 cm². Find its length and breadth.

#1037. The sum of cubes of certain natural numbers starting from 1 is 44100. Find the numbers.

Jai Ganesh · 2008-12-24 03:33:14

#1038. What is the value of

?

#1039. What is the value of x if

?

#1040. What is the value of x if

?

Identity · 2008-12-24 04:50:36

Nowhere near 10 seconds but at least I did them in my head

I would love to know the answer to 1038, but I'll let others have a go first (quick, someone answer it!)

Jai Ganesh · 2008-12-24 17:18:36

Answers to #1036, #1037, #1039, and #1040:-
All correct, Identity! Excellent!

I wish to inform you and the members viewing tthis thread that all questions aren't meant to be answered within 10 seconds; If you take a set of 20 questions, set the time limit as 200 seconds; this is because this thread is a mixed bag and contains both easy and relatively tough questions. Hence, you don't have to worry if you've taken a little more than 10 seconds for answering a question.

Regarding #1038, I shall post the solution in a day or two if there are no responses, or if the answers aren't correct.

Jai Ganesh · 2008-12-24 18:07:30

#1041. 999 x 99 x 9 ÷ 99 ÷ 9 ÷ 3 = ?

#1042. What is the value of

?

#1043. What is the value of

?

#1044.

.

#1045. Find the value of

if
a² + b² = 117 and ab = 54.

#1046. What is the value of

?

#1047. Find the value of

if x+y+z=20, x²+y²+z² = 138 and xy+yz+xz=83.

#1048. What is the value of

?

#1049. What is the value of

?

#1050. What is the value of x if

?

Jai Ganesh · 2008-12-24 21:31:08

#1051. What is the value of

?

#1052. What is the value of

?

#1053. What is the value of k if

?

#1054. What is the value of x if

?

#1055. The radius of a circle is 6 centimeters. What is the perpendicular distance from the center of the circle to a chord which is 8 centimeters in length?

#1056. The chords which are equidistant from the center of a circle are ..
(Choose from the four options given below:)
1. Perpendicular
2. Parallel
3. Equal
4. None of these

#1057. A vertical stick 15 centimeters long casts its shadow 10 centimeters long on the ground. At the same time, a flagpole casts a shadow 60 centimeters long. What is the height of the flagpole?

#1058. The areas of two similar triangles ABC and PQR are 36 cm² and 81 cm². What is the ratio of the corresponding altitudes AD and PS of the two triangles?

#1059. In a rhombus ABCD, AC and BD are the diagonals. What is AC² + BD² equal to (in terms of any one side of the rhombus, say AB?

#1060. Two circles of the same radius x intersect such that each passes through the center of the other. What is the length of the common chord?

careless25 · 2008-12-25 05:33:45

Jai Ganesh · 2008-12-25 16:54:38

Answers to #1041, #1044, and #1057:-
All correct!!!

Jai Ganesh · 2008-12-25 17:03:55

#1061. What is the value of

?

#1062. What is the value of

?

#1063. What is the least number of six digits exactly divisible by 456?

#1064. What is the value of

?

#1065. What is the value of a if 75% of 75 + a% of a = 98.5?

Math Is Fun Forum

#801 2008-12-19 17:55:39

Re: 10 second questions

#802 2008-12-19 18:23:57

Re: 10 second questions

#803 2008-12-19 19:52:32

Re: 10 second questions

#804 2008-12-19 21:45:24

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#805 2008-12-20 02:04:17

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