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math & puzzles Online Quiz - 226

Description: math & puzzles Online Quiz - 226
Number of Questions: 38
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Tags: math & puzzles
Attempted 0/38 Correct 0 Score 0
  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.

The answer is: C. 8

  1. 2 hours 30 minutes

  2. 2 hours 20 minutes

  3. 3 hours 20 minutes

  4. 3 hours 30 minutes


Correct Option: C
  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:

The Answer is: D

What is the next term in this sequence? 1 11 21 1211 111221

  1. 112221

  2. 131221

  3. 312211

  4. 221221


Correct Option: C
Explanation:

To determine the next term in this sequence, we need to analyze the pattern and rules that govern its progression.

The sequence starts with 1. The next term, 11, can be described as "one 1," since it consists of two consecutive 1s. The following term, 21, can be described as "two 1s," as it consists of one 2 and one 1.

Continuing this pattern, the next term is 1211, which can be described as "one 2, one 1."

The pattern continues in this manner, where each term is described in terms of the counts of consecutive digits in the previous term.

Now, let's go through each option and determine which one follows this pattern:

A. 112221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

B. 131221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

C. 312211: This option follows the pattern. It describes the counts of consecutive digits in the previous term (one 3, one 1, two 2s, one 1).

D. 221221: This option does not follow the pattern. It does not describe the counts of consecutive digits in the previous term.

Therefore, the correct answer is C. 312211.

It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?

  1. 2

  2. 3

  3. 24

  4. 47


Correct Option: B

AI Explanation

To answer this question, we can use the concept of the Pigeonhole Principle.

The Pigeonhole Principle states that if you have more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon.

In this case, each color of socks represents a pigeonhole, and the number of socks of each color represents the number of pigeons.

Since we have 24 red socks and 24 blue socks, we have a total of 48 socks in 2 different colors, which means we have 48 "pigeons".

To guarantee that we have at least two socks of the same color, we need to take one more sock than the number of colors. In this case, we have 2 colors (red and blue), so we need to take at least 3 socks.

Therefore, the correct answer is B) 3.

A man is standing in front of a painting of a man, and he tells us the following: "Brothers and sisters have I none, but this man's father is my fathers son". Who's on the painting?

  1. His Grandfather

  2. His Father

  3. He Himself

  4. His Son


Correct Option: D

AI Explanation

To answer this question, let's analyze the statement given by the man:

"Brothers and sisters have I none, but this man's father is my father's son."

Let's break down the statement to understand it better:

  1. "Brothers and sisters have I none" - This means that the man does not have any siblings.
  2. "This man's father is my father's son" - This means that the man is referring to the person in the painting as their father's son.

From the given options:

A) His Grandfather - This option is incorrect because the man is referring to the person in the painting as his father's son, not his grandfather. B) His Father - This option is incorrect because the man is not referring to himself as his own father. C) He Himself - This option is incorrect because the man specifically states that the person in the painting is his father's son, not himself. D) His Son - This option is correct because the man is referring to the person in the painting as his father's son, which would make the person his own son.

Therefore, the correct answer is option D) His Son. The person in the painting is the man's son.

A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9's are used in these numbers?

  1. 10

  2. 11

  3. 19

  4. 20


Correct Option: D

AI Explanation

To find out how many 9's are used in the numbers from 1 to 100, we need to consider each digit position separately.

  1. For the units digit: Out of the numbers from 1 to 100, 9 is used as the units digit in 9, 19, 29, ..., 99. So, there are 10 numbers where 9 is used as the units digit.

  2. For the tens digit: Out of the numbers from 1 to 100, 9 is used as the tens digit only in 90, 91, 92, ..., 99. So, there are 10 numbers where 9 is used as the tens digit.

Therefore, the total number of 9's used in the numbers from 1 to 100 is 10 + 10 = 20.

Hence, the correct answer is option D) 20.

Imagine you are on an island called Texel, with inhabitants that look the same from the outside, but differ from inside (their truthfulness). We distinguish the following types: Knights, who always tell the truth. Knaves, who never tell the truth. Normals, who sometimes tell the truth and sometimes lie. Assume you meet one of these inhabitants, and he tells you: "I'm no Knight". Then, of what type is inhabitant?

  1. Knight

  2. knave

  3. Normal

  4. None


Correct Option: C
Explanation:

To solve this question, the user needs to know the definitions of Knights, Knaves, and Normals, and how they behave when they are asked questions. The user must also understand the context of the inhabitant's statement and analyze it to determine their true identity.

Now, let's go through each option and explain why it is right or wrong:

A. Knight: This option cannot be correct since Knights always tell the truth, so if the inhabitant was a Knight, their statement "I'm no Knight" would be a lie, which contradicts the definition of a Knight.

B. Knave: This option cannot be correct since Knaves always lie, so if the inhabitant was a Knave, their statement "I'm no Knight" would be a lie, which contradicts the definition of a Knave.

C. Normal: This option is correct. Normals sometimes tell the truth and sometimes lie, so the inhabitant's statement "I'm no Knight" could be true or false. If the inhabitant is a Normal and is telling the truth, it means they are not a Knight, which would make them either a Knave or a Normal. If the inhabitant is a Normal and is lying, it means they are a Knight, which again would make them not a Knight. Therefore, the inhabitant must be a Normal.

D. None: This option is not correct since we have already determined that the inhabitant is a Normal.

The Answer is: C. Normal

  1. charles barbage

  2. abdul kalam

  3. shakuntala devi

  4. Brahmagupta


Correct Option: C

One of the words given in the alternatives cannot be formed by using the letters given in the question. Find out that word. ENCOURAGE

  1. ANGER

  2. GREEN

  3. USAGE

  4. COURAGE


Correct Option: C
  1. 0.9

  2. 99/10

  3. 99/10^20

  4. None of the above


Correct Option: C

There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each math’s problem as for each other question. How many minutes should be spent on mathematics problems?

  1. 36

  2. 72

  3. 60

  4. 100


Correct Option: B

A person sells a horse at 12.5% loss. If he sells for Rs.92.5more, he will have a profit of 6%. What is the CP?

  1. Rs.5000

  2. Rs.2500

  3. Rs.500

  4. Rs.250


Correct Option: A

AI Explanation

To solve this problem, let's assume the cost price (CP) of the horse is Rs. x.

Given that the person sells the horse at a loss of 12.5%, the selling price (SP) can be calculated as: SP = CP - 12.5% of CP = CP - 0.125 * CP = 0.875 * CP

If the person sells the horse for Rs. 92.5 more, the selling price will be: SP + Rs. 92.5 = 0.875 * CP + Rs. 92.5

Given that the new selling price results in a profit of 6%, we can set up the equation: 0.875 * CP + Rs. 92.5 = CP + 6% of CP 0.875 * CP + Rs. 92.5 = CP + 0.06 * CP 0.875 * CP - CP = 0.06 * CP - Rs. 92.5 -0.125 * CP = 0.06 * CP - Rs. 92.5 0.185 * CP = Rs. 92.5 CP = Rs. 92.5 / 0.185 CP = Rs. 500

Therefore, the cost price (CP) of the horse is Rs. 500.

The correct answer is A) Rs. 5000.

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