Tag: math & puzzles

Questions Related to math & puzzles

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
general knowledge math & puzzles

  1. 44

  2. 40

  3. 24

  4. 80

Show answer
Correct Option: B

If x=y=2z and xyz=256 then what is the value of x?
general knowledge math & puzzles

  1. 12

  2. 6

  3. 8

  4. 16

Show answer
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.

The answer is: C. 8

If one-seventh of a number exceeds its eleventh part by 100 then the number is.......
general knowledge math & puzzles

  1. 1100

  2. 1925

  3. 1875

  4. 7700

Show answer
Correct Option: B

The ratio of Rita's age to her mother's age is 8:3. The difference of their ages is 35 years. The ratio of their ages after 4 years will be?
general knowledge math & puzzles

  1. 12:5

  2. 17:8

  3. 32:17

  4. 14:7

Show answer
Correct Option: A

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?
general knowledge math & puzzles

  1. 3

  2. 6

  3. 9

  4. 12

Show answer
Correct Option: A

Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?
general knowledge math & puzzles

  1. 15

  2. 75

  3. 25

  4. 65

Show answer
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. 2 hours 30 minutes

  2. 2 hours 20 minutes

  3. 3 hours 20 minutes

  4. 3 hours 30 minutes

Show answer
Correct Option: C

Which of the following is least like the others?
general knowledge math & puzzles

  1. cube

  2. sphere

  3. pyramid

  4. circle

Show answer
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:

The Answer is: D

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?
general knowledge math & puzzles

  1. TIE

  2. AIM

  3. OAT

  4. DUE

Show answer
Correct Option: A

In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?

general knowledge math & puzzles

  1. 12

  2. 20

  3. 24

  4. 30

Show answer
Correct Option: C

AI Explanation

To solve this problem, we can set up an equation to represent the given information.

Let's assume that the team won "x" games in a row to attain an average of 50%.

In June, the team played 60 games and won 30% of them. This means they won 0.3 * 60 = 18 games.

After the winning streak, the team won x games in a row. So, the total number of games won is 18 + x.

The average winning percentage is given by the equation:

[ \text{Average winning percentage} = \frac{\text{Total number of games won}}{\text{Total number of games played}} ]

We can now set up the equation:

[ \frac{18 + x}{60 + x} = 0.5 ]

To solve for x, we can cross-multiply and solve the resulting equation:

[ 18 + x = 0.5(60 + x) ]

Simplifying the equation:

[ 18 + x = 30 + 0.5x ] [ 0.5x - x = 30 - 18 ] [ -0.5x = 12 ] [ x = \frac{12}{-0.5} ] [ x = -24 ]

Since it doesn't make sense to have a negative number of games won in a row, we can ignore the negative sign and take the absolute value of x:

[ |x| = 24 ]

Therefore, the team must have won 24 games in a row to attain an average of 50%.

The correct answer is C) 24.