Tag: math & puzzles

Questions Related to math & puzzles

There are 12 yes no questions. In how many ways these questions be answered?

general knowledge math & puzzles

  1. 1024

  2. 2048

  3. 4096

  4. 144

Show answer
Correct Option: C

AI Explanation

To find the number of ways these questions can be answered, we need to consider that each question has two possible answers: "yes" or "no."

Since there are 12 questions, we can calculate the number of ways by multiplying the number of choices for each question together.

Therefore, the total number of ways the questions can be answered is 2^12, which is equal to 4096.

So, the correct answer is option C: 4096.

What is sum of all positive integers upto 1000, which are divisible by 5 and not divisible by 2?

general knowledge math & puzzles

  1. 10050

  2. 5050

  3. 5000

  4. 50000

Show answer
Correct Option: D

Jim travels first 3 hours of his journey at 60 mph speed and remaining 5 hours at 24 mph speed. what is average speed if Jim's travel in mph?
general knowledge math & puzzles

  1. 42

  2. 36

  3. 37.5

  4. 42.5

Show answer
Correct Option: C

Anita had to do a multiplication. instead of taking 35 as one of the numbers, ahe took 53. As a result, the product went up by 540. what is new product?

general knowledge math & puzzles

  1. 1050

  2. 540

  3. 1440

  4. 1590

Show answer
Correct Option: D

How long will it take for a sum of money to grow from Rs.1250 to Rs.10000, if it is invested at 12.5% p.a simple interest?
general knowledge math & puzzles

  1. 8

  2. 64

  3. 72

  4. 56

Show answer
Correct Option: D

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony: There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?
general knowledge math & puzzles

  1. 237

  2. 31

  3. 500

  4. 250

Show answer
Correct Option: B

Three horses are standing in a triangular field, which is exactly 100 yards on each side. One horse stands at each corner; and simultaneously all three set off running. Each horse runs after the horse in the adjacent corner on his left, thus following a curved course, which terminates in the middle of the field, all three horses arriving there together. The horses obviously ran at the same speed, but just how far did they run?
general knowledge math & puzzles

  1. 50

  2. 150

  3. 133

  4. 100

Show answer
Correct Option: D

A hiker walked for two days. On the second day the hiker walked 2 hours longer and at an average speed 1 mph faster than he walked on the first day. If during the two days he walked a total of 64 miles and spent a total of 18 hours walking, what was his average speed on the first day?

general knowledge math & puzzles

  1. 1

  2. 4

  3. 3

  4. 2

Show answer
Correct Option: C

AI Explanation

To solve this problem, let's denote the average speed on the first day as "x" mph.

On the first day, the hiker walks for a certain number of hours, and on the second day, the hiker walks for 2 hours longer. Therefore, let's denote the number of hours walked on the first day as "t" hours.

According to the problem, the hiker walked a total of 64 miles in 18 hours. We can create the following equation based on the given information:

$t \cdot x + (t + 2) \cdot (x + 1) = 64$

Simplifying this equation, we get:

$tx + (t + 2)(x + 1) = 64$

Expanding the equation, we get:

$tx + tx + 2x + t + 2 = 64$

Combining like terms, we get:

$2tx + 2x + t + 2 = 64$

Simplifying further, we get:

$2tx + 2x + t = 62$

Now, we need to use the fact that the total time spent walking is 18 hours. This gives us the equation:

$t + (t + 2) = 18$

Simplifying this equation, we get:

$2t + 2 = 18$

$2t = 16$

$t = 8$

Now that we have the value of "t", we can substitute it back into the equation:

$2tx + 2x + t = 62$

$2(8)x + 2x + 8 = 62$

$16x + 2x + 8 = 62$

$18x + 8 = 62$

$18x = 54$

$x = 3$

Therefore, the hiker's average speed on the first day was 3 mph.

Therefore, the correct answer is option C) 3.

A long and straight row of soldiers is marching with constant speed. The dog of the commander runs along the row from the end till the beginning, from the beginning till the end, from the end till the beginning etc. This takes always 2 minutes, 1 minute, 2 minutes, etc. At some point the soldiers have to pass a very small bridge. However, the commander does not trust the strength bridge completely. He wonders how much time it will take them to pass the bridge when they stay marching with the same speed. How much time is that?
general knowledge math & puzzles

  1. 4

  2. 4.5

  3. 5

  4. 4.75

Show answer
Correct Option: A

A very rich lady goes with a bag of coins (not more than 400) to the city. In the city she meets four vagabonds. She gives the first vagabond 4 coins and a quarter of the number of coins which is left in the bag. She applies the same procedure to the second, third and fourth vagabond (so division by 4 worked always). With how many coins did she leave home?
general knowledge math & puzzles

  1. 255

  2. 300

  3. 244

  4. 260

Show answer
Correct Option: C