Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

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Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

A$\text{4%}$

B$\text{6%}$

C$\text{4.5%}$

D$\text{6.5%}$

upendra ? undefined

Correct answer is: \(\text{4%}\)

Explanation:

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:

\(\text{Given: Simple interest } (SI) = 16\% \text{ of the sum} \)

\(SI = \frac{P \times R \times T}{100} \)

\(\frac{16P}{100} = \frac{P \times R \times R}{100} \)

\(16 = R^2\)

\(R = \sqrt{16}\)

\(R = 4\)

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A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?

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A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?

A24 litres

B23 litres

C24.3 litres

D23.3 litres

Nithin ? undefined

Correct answer is: 24.3 litres

Explanation:

Suppose a container contains x units of liquid from which y Units are taken out and replaced by water.
After n operations. the quantity of pure liquid

\(= x \left(1-\frac{y}{x}\right)^{n} units\)

Therefore, Remaining water
\(=30 \left(1-\frac{3}{30}\right)^{2}\)

\(= \frac{30 \times 9 \times 9}{100}\)

= 24.3 litres

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The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?

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The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?

A97 : 95

B93 : 95

C95 : 93

D93 : 97

Nithin ? undefined

Correct answer is: 93 : 97

Explanation:

 x + x + 2 + x + 4 = 285

\(\implies 3x = 285 - 6 = 279\)

\(\implies x = = 93\)

Therefore, Required ratio = 93 : 97

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The average weight of M,N and O is equal to 65 kg. The average weight of M and N is equal to 69.5 kg. The average weight of N and O is 66.5 kg. What is the weight of N ?

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The average weight of M,N and O is equal to 65 kg. The average weight of M and N is equal to 69.5 kg. The average weight of N and O is 66.5 kg. What is the weight of N ?

A74 kg

B75 kg

C77 kg

D80 kg

Akilesh Kharvi ? Jun 28 '2020 at 22:3

Correct answer is: 77 kg

Explanation:

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What will be the average of the following set of numbers ?678, 193, 285, 494, 342, 762

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What will be the average of the following set of numbers ?
678, 193, 285, 494, 342, 762

A395

B359

C495

D459

Akilesh Kharvi ? Jun 28 '2020 at 21:59

Correct answer is: 459

Explanation:

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