Tag: math & puzzles

Questions Related to math & puzzles

If 13 = 13w/(1-w) ,then (2w)2 =
general knowledge math & puzzles

  1. 1/4

  2. 1/2

  3. 2

  4. 1

Show answer
Correct Option: D
Explanation:

To solve this question, the user needs to know algebraic manipulation and simplification. The user must use the given equation to find the value of w and then substitute it into the expression (2w)2.

First, let's solve for w using the given equation:

13 = 13w/(1-w)

Multiplying both sides by (1-w), we get:

13 - 13w = 13w

Adding 13w to both sides, we get:

13 = 26w

Dividing both sides by 26, we get:

w = 1/2

Now that we have the value of w, we can substitute it into the expression (2w)2:

(2w)2 = (2(1/2))2 = 12

Thus, the correct answer is:

The Answer is: D. 1

If the word 'CODING' is represented as DPEJOH , then the word 'CURFEW' can be represented?

general knowledge math & puzzles

  1. DVSGFX

  2. DVSHFX

  3. DGSHFX

  4. DTSGFY

Show answer
Correct Option: A
Explanation:

To solve this question, the user needs to know the concept of encoding and decoding using a specific pattern or rule.

Each letter in the word 'CODING' has been shifted one letter forward in the English alphabet. For example, 'C' becomes 'D', 'O' becomes 'P', and so on.

Using the same pattern, we can decode the word 'CURFEW' as follows:

  • 'C' becomes 'D'
  • 'U' becomes 'V'
  • 'R' becomes 'S'
  • 'F' becomes 'G'
  • 'E' becomes 'F'
  • 'W' becomes 'X'

Therefore, the encoded form of the word 'CURFEW' is 'DVSGFX'.

Thus, the correct answer is:

The Answer is: A. DVSGFX.

If in a certain code 'RANGE' is coded as 12345 and 'RANDOM' is coded as 123678, then the code for the word 'MANGO' would be

general knowledge math & puzzles

  1. 82543

  2. 82346

  3. 84563

  4. 82347

Show answer
Correct Option: D
Explanation:

To solve this question, the user needs to know the coding pattern that is being used to encode the words. In this case, it seems that each letter in the word is being replaced by a unique digit. To find the code for the word 'MANGO', we need to first identify the digits that correspond to each letter in the word.

Looking at the given codes, we can see that the letters 'R', 'A', 'N', 'G', 'O', and 'M' are represented by the digits 1, 2, 3, 4, 5, and 6, respectively. Using this pattern, we can determine that the code for the word 'MANGO' is:

M A N G O 6 2 3 4 5

Therefore, the answer is:

The Answer is: D. 82347

If 13 = 13w/(1-w) ,then (2*w)*(w*2) =

general knowledge math & puzzles

  1. 1/16

  2. 1/8

  3. 8

  4. 16

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Correct Option: D

What is the next number in this series 32 38 11 19 24 34 26 38 48 ?
general knowledge math & puzzles

  1. 62

  2. 58

  3. 40

  4. 64

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Correct Option: A

If it takes five minutes to boil one egg, how long will it take to boil four eggs?
general knowledge math & puzzles

  1. Twenty Minutes

  2. Five Minutes

  3. Ten MInutes

  4. Fiifteen Minutes

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Correct Option: B

A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

general knowledge math & puzzles

  1. 3 Hours 10 Minutes

  2. 4 Hours

  3. 3 Hours 20 Minutes

  4. 3 Hours 40 Minutes

Show answer
Correct Option: C

AI Explanation

To solve this problem, we can set up a proportion to find the ratio between the person's usual time and the time it took when walking at 5/6 of their usual rate.

Let's say the person's usual time is represented by "x" minutes.

According to the problem, when the person walks at 5/6 of their usual rate, they are 40 minutes late. This means that the time it took them to complete the journey at this slower rate was the usual time plus 40 minutes.

Setting up the proportion:

$\frac{x}{\text{usual rate}} = \frac{x+40}{\text{slower rate}}$

Since the person is walking at 5/6 of their usual rate, the slower rate is 5/6 of the usual rate.

$\frac{x}{\text{usual rate}} = \frac{x+40}{\frac{5}{6}\text{usual rate}}$

To simplify the equation, we can multiply both sides by the usual rate:

$x = \frac{x+40}{\frac{5}{6}}$

Now, we can solve for x by cross-multiplying:

$6x = 5(x+40)$

$6x = 5x + 200$

$x = 200$

Therefore, the person's usual time is 200 minutes.

To convert this to hours and minutes, we divide 200 by 60:

200 minutes รท 60 = 3 hours 20 minutes.

Therefore, the correct answer is C) 3 hours 20 minutes.

If x/y=4 and y is not '0' what % of x is 2x-y ?

general knowledge math & puzzles

  1. 150%

  2. 175%

  3. 125%

  4. 100%

Show answer
Correct Option: B

City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?

general knowledge math & puzzles

  1. 130 Years

  2. 260 Years

  3. 65 Years

  4. 195 Years

Show answer
Correct Option: A

AI Explanation

To find out how many years it will take for City A and City B to have the same population, we can set up an equation based on the given information.

Let's assume the number of years it takes for both cities to have the same population is represented by 'x'.

The population of City A after 'x' years can be represented as: Population of City A = 68000 - 80x

The population of City B after 'x' years can be represented as: Population of City B = 42000 + 120x

To find the value of 'x' when both populations are equal, we can set up the equation:

68000 - 80x = 42000 + 120x

Now, solve the equation for 'x':

68000 - 42000 = 120x + 80x

26000 = 200x

Divide both sides of the equation by 200:

26000/200 = x

130 = x

Therefore, it will take 130 years for both City A and City B to have the same population.

The correct answer is A) 130 Years.

If the value of x lies between 0 & 1 which of the following is the largest?
general knowledge math & puzzles

  1. x

  2. x^2

  3. 1/x

  4. x^3

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Correct Option: C