Maths Made Interesting
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MATHS Dr. T.K. Jain. AFTERSCHOOOL www.afterschool.tk www.afterschoool.tk www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
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How many subsets are possible in set A, A={x:x =2n+1; nEN, n<10}
• 2^9
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How many proper subsets are possible in set A, A={x:x =2n+1; nEN, n<9} • 2^9 -1
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A ={2,3,5,7,11} B= {3,5,7,9,11}, Universal set C = {x:xEN, x<13}, what is the set A’UB
• Ans: {1,3,4,5,6,7,8,9,10,11,12}
www.afterschoool.tk
What is the value of A-B and B-A in the previous exercise? • A-B = {2} • B-A = {9}
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In a party of 100 persons, 50 don’t like apple, 10 don’t like grapes and apple (both), 60 don’t like grapes. How many persons may take apple and grapes (both)? • Zero is the answer (solve by venn diagram). www.afterschoool.tk
Out of 100 students, 20 know English, 20 don’t know Hindi, and 10 know neither English nor Hindi. How many students know both the languages? • 10 is the answer. www.afterschoool.tk
In a group of 52 persons, 16 drink tea but not coffee, and 33 drink tea. How many drink coffee, but not tea ?
• Ans = 19, assume that there is no person who takes neither tea nor coffee.
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What is the least number, which when added to 1269, will make it a perfect square?
• Ans = 27. www.afterschoool.tk
What is the least number, which when multiplied to 1269, will make it a perfect square?
• Multiply by 141 to get perfect square. www.afterschoool.tk
What is the least number, which when subtracted to 1269, will make it a perfect square?
• 44. www.afterschoool.tk
What is the least number, by which 1269 be divided, so that we have a perfect square?
• 141. www.afterschoool.tk
The smallest perfect square number, which is exactly divisible by 7,15,25,27,36 is ?
• 396900 www.afterschoool.tk
A group of students collected as many paise from each other as is the number of persons in the group. They collected Rs. 22.09, what is the number of persons in their group? • 47 is ans. www.afterschoool.tk
What will be 80% of a number, whose 200% is 90?
• 36
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The diameter of a wheel is 63 Cms. Distance travelled by the wheel in 100 revolutions? • Circumference = 2*22/7*R • =2*22/7*(63/2) *100 revolution • 19800 Cm.
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA /CMA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing www.afterschoool.tk society.
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
How many subsets are possible in set A, A={x:x =2n+1; nEN, n<10}
• 2^9
www.afterschoool.tk
How many proper subsets are possible in set A, A={x:x =2n+1; nEN, n<9} • 2^9 -1
www.afterschoool.tk
A ={2,3,5,7,11} B= {3,5,7,9,11}, Universal set C = {x:xEN, x<13}, what is the set A’UB
• Ans: {1,3,4,5,6,7,8,9,10,11,12}
www.afterschoool.tk
What is the value of A-B and B-A in the previous exercise? • A-B = {2} • B-A = {9}
www.afterschoool.tk
In a party of 100 persons, 50 don’t like apple, 10 don’t like grapes and apple (both), 60 don’t like grapes. How many persons may take apple and grapes (both)? • Zero is the answer (solve by venn diagram). www.afterschoool.tk
Out of 100 students, 20 know English, 20 don’t know Hindi, and 10 know neither English nor Hindi. How many students know both the languages? • 10 is the answer. www.afterschoool.tk
In a group of 52 persons, 16 drink tea but not coffee, and 33 drink tea. How many drink coffee, but not tea ?
• Ans = 19, assume that there is no person who takes neither tea nor coffee.
www.afterschoool.tk
What is the least number, which when added to 1269, will make it a perfect square?
• Ans = 27. www.afterschoool.tk
What is the least number, which when multiplied to 1269, will make it a perfect square?
• Multiply by 141 to get perfect square. www.afterschoool.tk
What is the least number, which when subtracted to 1269, will make it a perfect square?
• 44. www.afterschoool.tk
What is the least number, by which 1269 be divided, so that we have a perfect square?
• 141. www.afterschoool.tk
The smallest perfect square number, which is exactly divisible by 7,15,25,27,36 is ?
• 396900 www.afterschoool.tk
A group of students collected as many paise from each other as is the number of persons in the group. They collected Rs. 22.09, what is the number of persons in their group? • 47 is ans. www.afterschoool.tk
What will be 80% of a number, whose 200% is 90?
• 36
www.afterschoool.tk
The diameter of a wheel is 63 Cms. Distance travelled by the wheel in 100 revolutions? • Circumference = 2*22/7*R • =2*22/7*(63/2) *100 revolution • 19800 Cm.
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA /CMA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing www.afterschoool.tk society.
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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