Mathematics Quiz

Mathematics Quiz Dr. T.K. Jain AFTERSCHOOOL BIKANER www.afterschool.tk www.afterschoool.tk 10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• Rohan opened the tap to fill the bath tub which the tap takes six minutes to fill. While he was out of the room, his naughty brother closed the tap after one minute and opened the drain which could empty the completely filled bath tub in 8 minutes. One minute later, when Rohan returned to the room and saw the drain open he closed it and reopened the tap. How long will the tap now take to fill the bath tub? • 1] 6 minutes 2] 5.75 minutes 3] 5.5 minutes 4] 4 minutes 10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• 5.75 IS THE RIGHT ANSWER

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• There are two loan schemes, one with, half yearly compounding and the other at simple interest. If the amount for one year under the first Scheme be equal to that under the second scheme (for the same principle) for one year and half a month, what is the common rate of interest used in both the schemes? • 1] 200% ... 10/14/08

• 2 150% 3] 33%

4] 16% .

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• • • •

Answer is 16, Simple interest : One year = 16, 15 days = .6 Compound interest : 16.6

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• 2^(x-2) + 2^ (3-x) = 3 • What can be the value of x? • A) 1 B) 2 c) 3 d) both b and c e) none of these

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The answer is D

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• If x^2 – y^2 =15, and x=y+3, then x+y is • A. -3 b. 0 c. 3 d. 5

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

The answer is d = 5, as under: • X^2 – y^2 = (x+y) (x-Y) • 15 = (x+y) *3 • So, x+y = 5

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• Which of the following is the largest number: • 3^1/3 • 5^1/5 • 2^1/2 • 7^1/7

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The correct answer is 3^1/3

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• The number is zero is surrounded by same two digits, numbers on both (left and right ) sides for example 25025 and 67067 etc. the largest number that always divides this number is: • A. 7 • B. 11 • D. 13 • E. 1001 10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The answer is e – 1001 – although, all these numbers will also be divisible by 11.

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The age of father was thrice the sum of the age of his two sons five years back. But the age of the father is twice the sum of the two sons now. Can you guess the age of the father? • i. 40 ii. 50 iii. 60 iv. 70

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The age of father is 50 years.

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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The following equation has two equal roots, what can be the value of w?: • X^2 – 8X + w^2 = 0 • i. 2 ii. 4 iii. 8 iii. None of these

10/14/08

AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• The answer is 4, based on the law: • B^2 = 4ac

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AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP BIKANE

• If there are four bells in a temple and they ring at the interval of 3, 5, 7 and 10 seconds respectively. How many times will they ring together in one hour, if they start together? • i. 15 ii. 17 iii. 19 iii. None of these

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• 3600/ 210 = 17 and therefore the bells will ring together 17 times including the start.

10/14/08

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THANKS, From: AFTERSCHOOOL CENTRE FOR SOCIAL ENTREPRENEURSHIP Sivakamu Veterinary Hospital Road, Bikaner 334001 www.afterschoool.tk 09414430763 AFTERSCHOOOL conducts free Post Graduate Programme in Social Entrepreneurship – any one can join it anywhere in the world. • It conducts 36 month integrated programme after class 12th and 18 month comprehensive programme after graduation. All the students are simultaneously trained in communication skills, analytical skills, leadership skills and entrepreneurial skills. Afterschoool conducts workshops on social entrepreneurship all over the world – in schools and colleges. We are also encouraging students in colleges and institutions to form entrepreneurship clubs.

10/14/08

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