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math & puzzles Online Quiz - 226

Description: math & puzzles Online Quiz - 226
Number of Questions: 38
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The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.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

AI Explanation

To solve this problem, we can set up a system of equations based on the given information.

Let's assume Rita's age is represented by "8x" and her mother's age is represented by "3x". We can set up the following equation based on the given ratio:

8x / 3x = 8/3

Now, let's set up another equation based on the given difference of their ages:

8x - 3x = 35

Simplifying the equation, we have:

5x = 35

Dividing both sides by 5, we get:

x = 7

Now, we can calculate Rita's current age:

Rita's age = 8x = 8(7) = 56

And her mother's current age:

Mother's age = 3x = 3(7) = 21

After 4 years, Rita's age will be 56 + 4 = 60, and her mother's age will be 21 + 4 = 25.

The ratio of their ages after 4 years is 60:25, which simplifies to 12:5.

Therefore, the correct answer is A) 12:5.

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

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.

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

A snail is at the bottom of a 20 meters deep pit. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days does it take before the snail reaches the top of the pit?

general knowledge math & puzzles

  1. 15

  2. 16

  3. 17

  4. 18

Show answer
Correct Option: B

AI Explanation

To answer this question, let's analyze the situation.

Every day, the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. So, each day the snail progresses by 1 meter upwards.

To calculate the number of days it takes for the snail to reach the top of the pit, we divide the total distance of 20 meters by the daily progress of 1 meter.

20 meters / 1 meter = 20 days

Therefore, it takes the snail 20 days to reach the top of the pit.

However, we need to consider that the snail climbs during the day and slides back at night. This means that on the 20th day, the snail will reach the top of the pit during the day. So, the snail doesn't slide back during the night.

Therefore, the correct answer is B) 16 days.

What is the next term in this sequence? 1 11 21 1211 111221
general knowledge math & puzzles

  1. 112221

  2. 131221

  3. 312211

  4. 221221

Show answer
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?
general knowledge math & puzzles

  1. 2

  2. 3

  3. 24

  4. 47

Show answer
Correct Option: B

One day Alice meets the Lion and the Unicorn in the Forest of Forgetfulness. She knows that the Lion lies on Mondays, Tuesdays, and Wednesdays, and tells the truth on the other days of the week. The Unicorn, on the other hand, lies on Thursdays, Fridays, and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice: Lion: Yesterday was one of my lying days. Unicorn: Yesterday was one of my lying days too. What day is the day?

general knowledge math & puzzles

  1. Wednesday

  2. Thursday

  3. Friday

  4. Sunday

Show answer
Correct Option: B

AI Explanation

To solve this problem, we need to analyze the statements made by the Lion and the Unicorn and determine what day it is.

Let's go through each option and analyze the statements:

Option A) Wednesday - If today is Wednesday, then yesterday was Tuesday. According to the Lion, he lies on Mondays, Tuesdays, and Wednesdays. Therefore, if today is Wednesday, the Lion's statement would be false since he claims that yesterday was one of his lying days. However, if today is Wednesday, the Unicorn's statement would be true, as he tells the truth on Wednesdays. Since both statements cannot be simultaneously true, we can conclude that today is not Wednesday.

Option B) Thursday - If today is Thursday, then yesterday was Wednesday. According to the Lion, he tells the truth on Thursdays. Therefore, if today is Thursday, the Lion's statement would be true since yesterday was not one of his lying days. Additionally, if today is Thursday, the Unicorn's statement would be false, as he lies on Thursdays. Both statements can be simultaneously true if today is Thursday, so this option is a possibility.

Option C) Friday - If today is Friday, then yesterday was Thursday. According to the Lion, he tells the truth on Fridays. Therefore, if today is Friday, the Lion's statement would be true since yesterday was not one of his lying days. However, if today is Friday, the Unicorn's statement would also be true, as he tells the truth on Fridays. Both statements cannot be simultaneously true, so this option is not possible.

Option D) Sunday - If today is Sunday, then yesterday was Saturday. According to the Lion, he tells the truth on Sundays. Therefore, if today is Sunday, the Lion's statement would be true since yesterday was not one of his lying days. However, if today is Sunday, the Unicorn's statement would also be true, as he tells the truth on Sundays. Both statements cannot be simultaneously true, so this option is not possible.

Based on our analysis, we can conclude that the correct answer is option B) Thursday.

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?

general knowledge math & puzzles

  1. His Grandfather

  2. His Father

  3. He Himself

  4. His Son

Show answer
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?

general knowledge math & puzzles

  1. 10

  2. 11

  3. 19

  4. 20

Show answer
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?

general knowledge math & puzzles

  1. Knight

  2. knave

  3. Normal

  4. None

Show answer
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

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?

general knowledge math & puzzles

  1. Knight

  2. knave

  3. Normal

  4. None

Show answer
Correct Option: C

AI Explanation

To answer this question, we need to analyze the statement made by the inhabitant and determine their type based on their truthfulness.

The inhabitant states, "I'm no Knight."

Let's consider the possibilities for each type:

A) If the inhabitant is a Knight, they always tell the truth. Therefore, if they say they are not a Knight, it would be a contradiction. This possibility is not valid.

B) If the inhabitant is a Knave, they always lie. Therefore, if they say they are not a Knight, it would be a lie. This possibility is not valid.

C) If the inhabitant is a Normal, they sometimes tell the truth and sometimes lie. Therefore, if they say they are not a Knight, it could be true or false. This possibility is valid.

D) None is not a valid option as we have determined that the inhabitant can be a Normal.

Based on our analysis, the correct answer is C) Normal. This option is correct because a Normal inhabitant can sometimes tell the truth and sometimes lie, so their statement "I'm no Knight" could be either true or false.

How many times can you subtract the number 5 from 25?

general knowledge math & puzzles

  1. 1

  2. 5

  3. 0

  4. 3

Show answer
Correct Option: A

How many times can you subtract the number 5 from 25?
general knowledge math & puzzles

  1. 1

  2. 5

  3. 0

  4. 3

Show answer
Correct Option: A

How many prime numbers are there between 1 and 100 ?
general knowledge math & puzzles

  1. 28

  2. 24

  3. 25

  4. 27

Show answer
Correct Option: C

Which of the following is a composite number: 37, 47, 57, 67?

general knowledge math & puzzles

  1. 37

  2. 57

  3. 67

  4. 47

Show answer
Correct Option: B

How many pairs of prime numbers are there to express 18 as the sum of two prime numbers?

general knowledge math & puzzles

  1. 1

  2. 4

  3. 3

  4. 2

Show answer
Correct Option: D

How many even primes are there between 1 and 100 ?

general knowledge math & puzzles

  1. 2

  2. 1

  3. 3

  4. 5

Show answer
Correct Option: B

What is the next prime number in the following series 41 43 47 …......?

general knowledge math & puzzles

  1. 49

  2. 57

  3. 53

  4. 59

Show answer
Correct Option: C

Fill in the blanks 0, 6, 24, 60,120, 210, ____?

general knowledge math & puzzles

  1. 320

  2. 336

  3. 352

  4. 330

Show answer
Correct Option: B

who is known as computer of arithmatic?

general knowledge math & puzzles

  1. charles barbage

  2. abdul kalam

  3. shakuntala devi

  4. Brahmagupta

Show answer
Correct Option: C

what is the partial derivative of e^(lnx^2) wrt y?
general knowledge math & puzzles

  1. 1/lnx

  2. lnx

  3. 2lnx

  4. 0

Show answer
Correct Option: D

what is the total no. of square u can create in a chess board?

general knowledge math & puzzles

  1. 228

  2. 216

  3. 204

  4. 256

Show answer
Correct Option: C

In a pot there are some bacteria. And in every half day the volume of bacteria doubles and in 10 days the pot becomes full. Then in how many days the pot will become exactly half?

general knowledge math & puzzles

  1. 4.5

  2. 5

  3. 5.5

  4. 8.5

  5. 9.5

  6. 9

Show answer
Correct Option: E

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

general knowledge math & puzzles

  1. ANGER

  2. GREEN

  3. USAGE

  4. COURAGE

Show answer
Correct Option: C

ne of the words given in the alternatives cannot be formed by using the letters given in the question. Find out that word. ******** CONCENTRATE
general knowledge math & puzzles

  1. CENTRE

  2. CONCERN

  3. TREAT

  4. REASON

Show answer
Correct Option: D

Three types of tea (namely a, b and c) costs Rs. 95/kg, Rs. 100/kg and Rs. 70/kg respectively. How many Kg. of each should be blended to produce 100 kg of mixture worth Rs. 90/kg, given that the quantities of band c are equal ?

general knowledge math & puzzles

  1. 70,15,15

  2. 50,25,25

  3. 60,20,20

  4. 40,30,30

Show answer
Correct Option: B

AI Explanation

To solve this problem, we can use a system of equations.

Let's assume that the quantities of tea a, b, and c in kg are x, y, and z respectively.

Given: The cost of tea a = Rs. 95/kg The cost of tea b = Rs. 100/kg The cost of tea c = Rs. 70/kg

We need to find the quantities of tea a, b, and c that should be blended to produce 100 kg of mixture worth Rs. 90/kg.

Equation 1: x + y + z = 100 (Since the total quantity of the mixture is 100 kg)

Equation 2: (95x + 100y + 70z) / 100 = 90 (Since the total cost of the mixture is Rs. 90/kg)

From the given information, we also know that the quantities of tea b and c are equal, so y = z.

Substituting y = z in Equation 1, we get: x + 2y = 100

Substituting y = z in Equation 2, we get: (95x + 100y + 70y) / 100 = 90 (95x + 170y) / 100 = 90 95x + 170y = 9000

Now, we have a system of equations: x + 2y = 100 95x + 170y = 9000

We can solve this system of equations to find the values of x, y, and z.

Using any suitable method (substitution, elimination, or matrices), we find that the solution is: x = 50, y = 25, z = 25

Therefore, the quantities of tea a, b, and c that should be blended to produce 100 kg of mixture worth Rs. 90/kg are 50 kg, 25 kg, and 25 kg respectively.

Hence, the correct answer is option B) 50, 25, 25.

A father is 30 years older than his son, however he will be only thrice as old as the son after 5 years, what is the father's present age ?

general knowledge math & puzzles

  1. 40 yrs

  2. 30 yrs

  3. 50 yrs

  4. None of the above

Show answer
Correct Option: A

(1/10)18 - (1/10)20 = ?

general knowledge math & puzzles

  1. 0.9

  2. 99/10

  3. 99/10^20

  4. None of the above

Show answer
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?

general knowledge math & puzzles

  1. 36

  2. 72

  3. 60

  4. 100

Show answer
Correct Option: B

A & B are two players. They select one number from 1 to 25. If both of them select the same number they will win. What is the probability of not winning in a single trial?
general knowledge math & puzzles

  1. 5/1

  2. 24/25

  3. 1/25

  4. 1/5

Show answer
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?

general knowledge math & puzzles

  1. Rs.5000

  2. Rs.2500

  3. Rs.500

  4. Rs.250

Show answer
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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