Ratio, Proportion
- A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?
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Let the heights of the cylinder and cone be h and H respectively.
∵ πr2h = πr2H / 3Correct Option: D
Let the heights of the cylinder and cone be h and H respectively.
∵ πr2h = πr2H / 3
⇒ h/H = 1/3
∴ h : H = 1 : 3.
So their heights are in the ratio 1 : 3.
- If 3/4th of the employees in a super market are not college graduates What is the ratio of the number of college graduates to those who are not college graduates ?
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Of every 4 employees, 1 is college graduate and 3 are not college graduates.
Correct Option: C
Of every 4 employees, 1 is college graduate and 3 are not college graduates.
∴ The required ration = 1 : 3
- The strength of a school is 840. The ratio of the number of students talking English to the number of students not talking English is 4 : 3. How many of the students take English ?
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The number of students talking English = 4/(4 + 3) x 840
Correct Option: A
The number of students talking English = 4/(4 + 3) x 840 = 480
- A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3 . If their total value is ₹ 60, then the number of 5 paise coins is ?
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Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then ,
N + 2N + 3N = 60Correct Option: C
Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then ,
N + 2N + 3N = 60
⇒ N = 10
∴ The number of 5 paise coins = 3 x 10 = 30
- Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares of A, B and C is ?
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Let 5A = 12B = 6C = k
Then, A = k/5, B = k/12 and C = k/6Correct Option: B
Let 5A = 12B = 6C = k
Then, A = k/5, B = k/12 and C = k/6
∴ A : B : C = k/5 : k/12 : k/6 = 12 : 5 : 10