Easy Maths
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Easy Mathematics AFTERSCHOOOL www.afterschool.tk www.afterschoool.tk www.afterschoool.tk
5^X / 125 = 1, what is the value of X? • X is equal to 3
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3X-10<15, what will be range of values for X (in integer)? • The value of X with be less than 8 or equal to 8.
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-3x-21<16, what can be the range of various values of X (in integer)? • The value of X will be more than -12.
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(X^11+1) is divided by (X+1), what will be remainder? • Zero
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(X^11+1) is divided by (X-1), what will the remainder be zero? • No.
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• • • •
What are the two terms, which differ by 40, and the measure of which is 2/7?
7X – 2X = 40 5X = 40, X=8 The terms are 16, and 56.
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Rs 5625 is divided among A,B,C. A receives one-half as much as B+C. C receives 1/4th of A+B. What are their shares respectively? • A= 1875 • B =2625 • C = 1125
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(a+b):(a-b) = 1:5, what will be the value of (a^2-b^2):(a^2+b^2)? • 5:13 is the answer.
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A man walking at 3 Km per hour, covers a square field diagonally in 2 minutes. What is the area of the field?
• Area of field: ½*diagonal*diagonal • 3000 meter / 60 *2 • = area = 5000 square meters.
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Two trains runniing in the same direction at 40 and 22 Km. p/h speed pass each other in 1 minute. Length of the first train is 125 meters, what is the length of second?
• For trains in the same direction – take the difference of their speed. (if the trains are in opposite direction – add them). • Relative speed = 18000/60 = 300 m/minute • 300-125 = 175 ans.
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A man at a platform observes at the train takes 4 seconds to pass him, another train takes 5 second to pass him (of same length) – how much time the two trains will take to cross eachother (opposite direction)? What will be time – if they are in same direction?
• 40/9 seconds – for opposite direction • 40 seconds for same direction trains. www.afterschoool.tk
A man can row 11 Km upstream and 16 Km downstream (in 1 hour), what is the speed of current?What is the speed of the person in still water?
• speed of current =(16-11)/2 = 2.5 Km per hour • Speed of man = (16+11) /2 = 13.5 Km per hour
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What is the sum of all the numbers between 500 and 1000? • Sum of 1000 no. = (1000*1001)/2=500500 • Sum of 500 no. = (500*501)/2 = 125250 • Ans = 375250
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What is the sum of all the numbers between 500 and 1000 which are exactly divisible by 13? • 76 digits are divisible till 1000 – last no. 988. • 38 no. are divisible till 500, the highest no. is 494 and the first term is 507 • Total such numbers are 76-38 = 38. • 38/2(507+988) = 28405. (n/2) (first + last) www.afterschoool.tk
The forth proportional to 3,5,21 is ? • 3X = 5*21 • X = 35, so the forth proportional is 35.
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2x=3y=4z, what is the ratio of x,y, and z? • Ratio of x,y,z = 6,4,3.
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Radius of a circle is increased by 1%, by how much % will area increase?
• Let us assume radius = 100, area 10000pie • New radius – 101, area – 10201 pie • Difference = 201 pie. • % increase is 2.01 percent.
www.afterschoool.tk
www.afterschoool.tk
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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 / 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 society. www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
5^X / 125 = 1, what is the value of X? • X is equal to 3
www.afterschoool.tk
3X-10<15, what will be range of values for X (in integer)? • The value of X with be less than 8 or equal to 8.
www.afterschoool.tk
-3x-21<16, what can be the range of various values of X (in integer)? • The value of X will be more than -12.
www.afterschoool.tk
(X^11+1) is divided by (X+1), what will be remainder? • Zero
www.afterschoool.tk
(X^11+1) is divided by (X-1), what will the remainder be zero? • No.
www.afterschoool.tk
• • • •
What are the two terms, which differ by 40, and the measure of which is 2/7?
7X – 2X = 40 5X = 40, X=8 The terms are 16, and 56.
www.afterschoool.tk
Rs 5625 is divided among A,B,C. A receives one-half as much as B+C. C receives 1/4th of A+B. What are their shares respectively? • A= 1875 • B =2625 • C = 1125
www.afterschoool.tk
(a+b):(a-b) = 1:5, what will be the value of (a^2-b^2):(a^2+b^2)? • 5:13 is the answer.
www.afterschoool.tk
A man walking at 3 Km per hour, covers a square field diagonally in 2 minutes. What is the area of the field?
• Area of field: ½*diagonal*diagonal • 3000 meter / 60 *2 • = area = 5000 square meters.
www.afterschoool.tk
Two trains runniing in the same direction at 40 and 22 Km. p/h speed pass each other in 1 minute. Length of the first train is 125 meters, what is the length of second?
• For trains in the same direction – take the difference of their speed. (if the trains are in opposite direction – add them). • Relative speed = 18000/60 = 300 m/minute • 300-125 = 175 ans.
www.afterschoool.tk
A man at a platform observes at the train takes 4 seconds to pass him, another train takes 5 second to pass him (of same length) – how much time the two trains will take to cross eachother (opposite direction)? What will be time – if they are in same direction?
• 40/9 seconds – for opposite direction • 40 seconds for same direction trains. www.afterschoool.tk
A man can row 11 Km upstream and 16 Km downstream (in 1 hour), what is the speed of current?What is the speed of the person in still water?
• speed of current =(16-11)/2 = 2.5 Km per hour • Speed of man = (16+11) /2 = 13.5 Km per hour
www.afterschoool.tk
What is the sum of all the numbers between 500 and 1000? • Sum of 1000 no. = (1000*1001)/2=500500 • Sum of 500 no. = (500*501)/2 = 125250 • Ans = 375250
www.afterschoool.tk
What is the sum of all the numbers between 500 and 1000 which are exactly divisible by 13? • 76 digits are divisible till 1000 – last no. 988. • 38 no. are divisible till 500, the highest no. is 494 and the first term is 507 • Total such numbers are 76-38 = 38. • 38/2(507+988) = 28405. (n/2) (first + last) www.afterschoool.tk
The forth proportional to 3,5,21 is ? • 3X = 5*21 • X = 35, so the forth proportional is 35.
www.afterschoool.tk
2x=3y=4z, what is the ratio of x,y, and z? • Ratio of x,y,z = 6,4,3.
www.afterschoool.tk
Radius of a circle is increased by 1%, by how much % will area increase?
• Let us assume radius = 100, area 10000pie • New radius – 101, area – 10201 pie • Difference = 201 pie. • % increase is 2.01 percent.
www.afterschoool.tk
www.afterschoool.tk
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 / 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 society. www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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