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math & puzzles Online Quiz - 33

Description: math & puzzles Online Quiz - 33
Number of Questions: 20
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Tags: math & puzzles
Attempted 0/20 Correct 0 Score 0

If the radius of a circle is diminished by 10%, then its area is diminished by:

  1. 10%

  2. 19%

  3. 20%

  4. 36%


Correct Option: B

A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?

  1. 1/2 kmph

  2. 7/12 kmph

  3. 5 kmph

  4. none of these


Correct Option: B

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

  1. 4:21:49.5

  2. 4:27:49.5

  3. 3:21:49.5

  4. 4:21:44.5


Correct Option: A

Mr. Brown has 8 black gloves and 8 brown gloves in his closet. He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color?

  1. 4

  2. 3

  3. 5

  4. 6


Correct Option: B

There is a number that is 6 times the sum of its digits. What is this number?

  1. 34

  2. 65

  3. 54

  4. 78


Correct Option: C

It was Helen's first day at school. The teacher suggested that it would be a good idea for each child to meet every other child in the class. The teacher said, "When you meet, please shake hands and introduce yourself by name." If there were 10 children in the class, how many total handshakes were there?

  1. 56

  2. 78

  3. 33

  4. 45


Correct Option: D

A painting job can be completed by 5 painters in 8 days. If 5 more painters join the team 4 days after starting work on the job, then how many more days are required to complete the job?

  1. 8

  2. 5

  3. 4

  4. 2


Correct Option: D

AI Explanation

To solve this problem, let's first calculate the rate at which the painters work.

We are given that 5 painters can complete the job in 8 days. This means that the total work done by the painters is 1 job.

Let "R" represent the rate of work done by each painter. Therefore, the rate at which 5 painters work together is 5R.

We can set up the following equation to represent the work done in 8 days:

[5R \times 8 = 1]

Simplifying this equation, we have:

[40R = 1]

Now, let's consider the scenario when 5 more painters join the team after 4 days.

The initial 5 painters worked for 4 days, so the amount of work done by them is (5R \times 4 = 20R).

The remaining work to be done is (1 - 20R).

Now, the total number of painters is 5 + 5 = 10 painters.

We can set up the following equation to represent the work done by the 10 painters:

[10R \times D = 1 - 20R]

where "D" represents the number of additional days required to complete the job.

Simplifying this equation, we have:

[10RD = 1 - 20R]

Since we want to find the number of additional days required to complete the job, we need to find the value of "D".

To solve for "D", let's substitute the value of (R) from the first equation into the second equation:

[10 \times \frac{1}{40} \times D = 1 - 20 \times \frac{1}{40}]

Simplifying this equation, we have:

[\frac{D}{4} = 1 - \frac{1}{2}]

[\frac{D}{4} = \frac{1}{2}]

Multiplying both sides of the equation by 4, we get:

[D = 2]

Therefore, it will take an additional 2 days to complete the job.

The correct answer is option D) 2.

A pillar 6 feet tall casts a shadow 2 feet long on the ground. If the pillar was 15 feet tall, how many feet in length would the shadow be ?

  1. 11

  2. 7

  3. 5

  4. 3


Correct Option: C

The drive from Oakland to Pinewood was a tricky one. I covered the uphill distance of 55 miles at 28 miles per hour. The return journey from Pinewood to Oakland was downhill, and I managed to drive at 70 miles per hour. What was my average speed for the entire journey?

  1. 49

  2. 40

  3. 47

  4. 38


Correct Option: B

Here is a series of numbers. What is the next number in the sequence? 1 11 21 1211 111221 312211 13112221

  1. 1113112211

  2. 1113213211

  3. 1121213211

  4. 1111313211


Correct Option: B

My daughter has many sisters. She has as many sisters as she has brothers. Each of her brothers has twice as many sisters as brothers. How many sons and daughters do I have?

  1. 4 songs and 3 daught

  2. 3 sons and 4 daught

  3. 5 sons and 2 daught

  4. 6 songs and 1 daught


Correct Option: B

If a bottle and a cork cost a dollar and a nickel(1 nickel = 5 cents), and the bottle costs a dollar more than the cork, how much does the cork cost?

  1. 5 cents

  2. 2 cents

  3. 2 and half cents

  4. 3 cents


Correct Option: C

You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task?

  1. 3

  2. 5

  3. 2

  4. 6


Correct Option: A

If: 2 3 = 10 7 2 = 63 6 5 = 66 8 4 = 96 9 7 = ??

  1. 15

  2. 121

  3. 60

  4. 144


Correct Option: D

A boat has a ladder that has six rungs. Each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes. High tide peaks in one hour. When the tide is at its highest, how many rungs are under water?

  1. 5

  2. 4

  3. 3

  4. none


Correct Option: D

100 Politicians are attending a political convention. You know that the politicians are either corrupt or honest, nothing in between. There is at least one honest politician. If you randomly choose 2 politicians at least one of them will be corrupt. How many politicians are corrupt and how many are honest?

  1. 95 corrupt 5 honest

  2. 100 corrupt

  3. 99 corrupt and 1 honet

  4. 100 honest


Correct Option: C

What are the next two pairs of letters below? SO, ND, JF, MA, ??, ??

  1. NE, NJ

  2. MJ, JA

  3. KJ, KE

  4. NONE


Correct Option: B
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