# Tag: math & puzzles

### Questions Related to math & puzzles

1. 12

2. 6

3. 8

4. 16

Correct Option: C
Explanation:

To find the value of x, we can use the given information.

We are given that x = y = 2z and xyz = 256.

Since x = y, we can substitute x with y in the second equation:

xy * z = 256

(x * x) * z = 256

x^2 * z = 256

Now, we know that x = 2z, so we can substitute x in terms of z:

(2z)^2 * z = 256

4z^2 * z = 256

4z^3 = 256

To solve for z, we can divide both sides of the equation by 4:

z^3 = 64

Taking the cube root of both sides gives us:

z = 4

Now that we know the value of z, we can substitute it back into the equation x = y = 2z:

x = y = 2 * 4

x = y = 8

Therefore, the value of x is 8.

1. 1100

2. 1925

3. 1875

4. 7700

Correct Option: B

A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?

1. 3

2. 6

3. 9

4. 12

Correct Option: A

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

1. 2 hours 30 minutes

2. 2 hours 20 minutes

3. 3 hours 20 minutes

4. 3 hours 30 minutes

Correct Option: C

#### AI Explanation

To solve this problem, let's assume the person's usual time is represented by "x" minutes.

According to the given information, the person is walking at 5/6 of his usual rate. This means he is walking at a speed of (5/6)x minutes per minute.

We are also given that the person is 40 minutes late. This means the actual time taken by the person is (x + 40) minutes.

We can set up an equation based on the given information:

(x + 40) = (5/6)x

To solve for x, we can multiply both sides of the equation by 6 to eliminate the fraction:

6(x + 40) = 5x

Expanding the equation:

6x + 240 = 5x

Now, we can subtract 5x from both sides:

x + 240 = 0

x = -240

Since time cannot be negative, we can discard the negative solution.

Therefore, the person's usual time is 240 minutes, which is equivalent to 4 hours.

Converting 240 minutes to hours and minutes:

240 minutes = 4 hours

So, the person's usual time is 4 hours.

The correct answer is C) 3 hours 20 minutes.

1. cube

2. sphere

3. pyramid

4. circle

Correct Option: D
Explanation:

To solve this question, the user needs to understand the characteristics of each shape and identify which one is different from the others.

Explanation of each option:

A. cube: A cube is a three-dimensional shape that has six square faces, eight vertices, and 12 edges.

B. sphere: A sphere is a three-dimensional shape that is perfectly round in shape, like a ball. It has no edges or vertices and has a curved surface.

C. pyramid: A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single vertex.

D. circle: A circle is a two-dimensional shape with a curved boundary and every point on the boundary is an equal distance from the center point.

Option D is least like the others because it is the only two-dimensional shape. The other three options are three-dimensional shapes. Therefore, the answer is:

One of the following is my secret word:AIM DUE MOD OAT TIE.With the list in front of you, if I were to tell you any one of my secret word, then you would be able to tell me the number of vowels in my secret word.Which is my secret word?

1. TIE

2. AIM

3. OAT

4. DUE

Correct Option: A

#### AI Explanation

To determine the number of vowels in the secret word, let's analyze each option:

Option A) TIE - This option has 2 vowels (I and E). Option B) AIM - This option has 2 vowels (A and I). Option C) OAT - This option has 2 vowels (O and A). Option D) DUE - This option has 2 vowels (U and E).

Based on the given information, we can see that every option has 2 vowels. Therefore, it is not possible to determine the secret word based on the number of vowels alone.

Hence, it is not possible to determine the secret word with the given information.