Tag: math & puzzles

Questions Related to math & puzzles

John is traveling to a meeting that is 18 miles away. He needs to be there in 20 minutes. How fast does he need to go to make it to the meeting on time?

general knowledge math & puzzles

  1. 54 km/hr

  2. 55 km/hr

  3. 87 km/hr

  4. 75 km/hr

  5. 68 km/hr

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Correct Option: C

What is the product of the following series: (x-a), (x-b), (x-c), .....(x-z) ?
general knowledge math & puzzles

  1. n*x -(a+b+..z)

  2. 0

  3. x^n-abc..

  4. none

Show answer
Correct Option: B

Which number should come next in this series? 25,24,22,19,15
general knowledge math & puzzles

  1. 4

  2. 5

  3. 10

  4. 14

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Correct Option: C

Which number should replace the question mark? 17 8 5 5 13 7 5 4 6 12 6 3 10 6 4 ?
general knowledge math & puzzles

  1. 4

  2. 5

  3. 6

  4. 7

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Correct Option: A

A retailed buys 30 pens from a wholesaler and pays equal to marked price of 27 pens. If he sells the pens at the marked price, his profit percent in the transaction is:
general knowledge math & puzzles

  1. 9 1/11%

  2. 9 1/10%

  3. 11 1/11%

  4. 11 1/9%

  5. none

Show answer
Correct Option: D
Explanation:

To solve this question, the user needs to understand the concept of profit percent, cost price and selling price.

Let M be the marked price of each pen

The cost price of 30 pens is equal to the cost price of 27 pens, since the retailer pays equal to the marked price of 27 pens. Therefore, the cost price of each pen is $\frac{M}{30}\times27 = \frac{9M}{10}$.

When the retailer sells each pen at the marked price M, the selling price of each pen is M.

So the profit for each pen is $M - \frac{9M}{10} = \frac{M}{10}$.

Therefore, the profit percent is $\frac{\text{Profit}}{\text{Cost Price}}\times100 = \frac{\frac{M}{10}}{\frac{9M}{10}}\times100 = \frac{1}{9}\times100 = 11\frac{1}{9}\%$.

Therefore, the answer is:

The Answer is: D. 11 1/9%

Find the G.C.D of 12x^2y^3z^2, 18x^3y^2z^4, and 24xy^4z^3
general knowledge math & puzzles

  1. 6x^3y^4z^3

  2. 24xy^2z^2

  3. 18x^2y^2z^3

  4. 6xy^2z^2

  5. 6x^3y^4z^4

Show answer
Correct Option: D

Which of the following can be a product of two 3 digit number **3 and **8?
general knowledge math & puzzles

  1. 1010024

  2. 2242424

  3. 991014

  4. 9124

  5. none of these

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Correct Option: C

Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return $5 to the men. The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself. Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14.....where has the other $1 gone from the original $15?
general knowledge math & puzzles

  1. Wrong Question

  2. It does not make sense to add what was paid by the men ($12) to what was received from that payment by the waiter ($2)

  3. The waiter didnt return $3

  4. The payments should not equal the receipts.

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Correct Option: B

A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well? Note: Assume after the first leap that his hind legs are exactly three meters up the well. His hind legs must clear the well for him to escape.

general knowledge math & puzzles

  1. 28

  2. 27

  3. 29

  4. 26

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Correct Option: A

You can paddle your canoe seven miles per hour through any placid lake. The stream flows at three miles per hour. The moment you start to paddle up stream a fisherman looses one of his bobbers in the water fourteen miles up stream of you. How many hours does it take for you and the bobber to meet?

general knowledge math & puzzles

  1. 4

  2. 3

  3. 2

  4. 1

Show answer
Correct Option: C

AI Explanation

To solve this problem, we can use the concept of relative velocity.

Let's assume that the time it takes for you and the bobber to meet is "t" hours.

In that time, you would have traveled 7t miles downstream (your canoe's speed multiplied by time), and the bobber would have traveled 3t miles upstream (the stream's speed multiplied by time).

Since the bobber was initially 14 miles upstream of you, the total distance between you and the bobber when you meet is the sum of the distances you each traveled. This can be expressed as:

7t + 3t = 14

Combining like terms, we get:

10t = 14

To solve for t, divide both sides of the equation by 10:

t = 14/10

Simplifying further, we get:

t = 1.4

Therefore, it takes 1.4 hours for you and the bobber to meet.

Since the options provided are in whole numbers, we need to round 1.4 to the nearest whole number. Rounding up, the answer is 2 hours.

So, the correct answer is C) 2.