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math & puzzles Online Quiz - 13

Description: math & puzzles Online Quiz - 13
Number of Questions: 20
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Tags: math & puzzles
Attempted 0/20 Correct 0 Score 0

log27 /log 12 = a then log 16 /log 6 = ?

  1. 4(3+a)/(3-a)

  2. 2(3+a)/(3-a)

  3. 8(3+a)/(3-a)

  4. 4(3-a)/(3+a)


Correct Option: D

65^2=?

  1. 4225

  2. 5625

  3. 4025

  4. 3925


Correct Option: A

124362769 divisble by 17?

  1. True

  2. False


Correct Option: A

Blueberries cost more than strawberries.Blueberries cost less than raspberries.Raspberries cost more than both strawberries and blueberries.If the first two statements are true, the third statement is

  1. true

  2. false

  3. uncertain

  4. can't say


Correct Option: A

The sum of two times one natural number and three times another natural number is less than 24. If the first natural number is less than or equal to eight, the highest value of the second natural number is:

  1. 5

  2. 6

  3. 7

  4. 8


Correct Option: C

AI Explanation

To solve this problem, let's set up the given conditions mathematically.

Let's assume the first natural number is represented by "x" and the second natural number is represented by "y".

According to the given condition, the sum of two times the first natural number and three times the second natural number is less than 24:

2x + 3y < 24

Next, we are given the additional condition that the first natural number is less than or equal to eight:

x ≤ 8

To find the highest possible value for the second natural number, we need to maximize the value of "y" while still satisfying the given conditions.

Let's consider the maximum value for the first natural number, which is 8. Substituting this value into the inequality, we have:

2(8) + 3y < 24 16 + 3y < 24 3y < 24 - 16 3y < 8

Simplifying, we have:

y < 8/3

Since "y" must be a natural number, the highest possible value for "y" is the largest natural number less than 8/3, which is 2. Therefore, the highest value for the second natural number is 2.

However, this conflicts with the given options. It seems there might be an error in the question or the answer choices. Please double-check the question and options provided.

John is 7 times as old as his son. 10 years hence he will be 3 times as old as his son. What are their present ages (in years)?

  1. 4,28

  2. 5,35

  3. 3,21

  4. 7,49


Correct Option: B

Mr Sumit, Mr Punit and Mr Sanjay are partners in a business. Mr Sumit started the business with Rs 40,000. After 3 months, Mr Sanjay and Punit joined him with Rs 60,000 each. If the total profits at the end of the year amount to Rs 31,200, what would be Sanjay share in it?

  1. 15600

  2. 9600

  3. 10800

  4. 21600


Correct Option: C

On giving a reduction of 20% on clothes, a clothmerchant’s sale increased by 30% to become Rs 26,000 in the month of June 2010. What was the previous sale?

  1. 25000

  2. 30000

  3. 13000

  4. 24500


Correct Option: A

AI Explanation

To solve this question, we can use the concept of percentages and the relationship between the original sale and the reduced sale.

Let's assume the previous sale was 'x' rupees.

According to the question, a reduction of 20% is given on clothes. This means the reduced sale is 80% of the original sale. So, the reduced sale will be 0.8x rupees.

It is also mentioned that the reduced sale increased by 30% to become 26,000 rupees. So, we can set up the equation: 0.8x + 0.3(0.8x) = 26,000.

Now, let's solve this equation to find the value of x.

0.8x + 0.3(0.8x) = 26,000 0.8x + 0.24x = 26,000 1.04x = 26,000 x = 26,000 / 1.04 x = 25,000

Therefore, the previous sale was 25,000 rupees.

The correct answer is option A) 25000.

1231111213

  1. 1231111123

  2. 1231111213

  3. 1231112213

  4. 1233111213


Correct Option: B

AI Explanation

To determine the correct answer, let's compare the given number with each of the options:

Option A) 1231111123 - This option is incorrect because it is different from the given number. The last digit is changed from '3' to '2'.

Option B) 1231111213 - This option is correct because it matches the given number exactly. There are no changes.

Option C) 1231112213 - This option is incorrect because it is different from the given number. The fifth digit is changed from '1' to '2'.

Option D) 1233111213 - This option is incorrect because it is different from the given number. The second digit is changed from '2' to '3'.

Therefore, the correct answer is B) 1231111213, as it matches the given number exactly.

Tata Consultancy Services

  1. Tata Consultancy Senvices

  2. Tata Cousultancy Services

  3. Tata Consultancy Services

  4. Tate Consultancy Services


Correct Option: C

xxyyxyxyyyx

  1. xxyyxyxyyyx

  2. xxyyxyxxyyx

  3. xxyyxyxyxyx

  4. xxyxxyxyyyx


Correct Option: A

Mohandas Karamchand Gandhi

  1. Mohandas Karamshand Gandhi

  2. Mohandas Karamchand Gandhe

  3. Mohandas Karamchand Gandhi

  4. Mohendas Karamchand Gandhi


Correct Option: C

Vacuum Cleaner

  1. Vaccum Cleaner

  2. Vacuum Cleener

  3. Vacuum Cleanar

  4. Vacuum Cleaner


Correct Option: D

United States of America

  1. United Statas of America

  2. Unitod States of America

  3. United States of America

  4. Unitod Statos of America


Correct Option: C

In a two-digit number, if it is known that its ten's digit exceeds its unit's digit by 2 and that the product of the given number and the sum of its digits is equal to 252 then the number is:

  1. 24

  2. 42

  3. 46

  4. 64


Correct Option: B

A monkey, at the bottom of a well, begins climbing the wall. It climbs for one hour and rests the next hour. In one hour it climbs 4 meters. In the one hour it rests, it slips back 2 meters. If the height of the wall is 20 meters, then the time taken by the monkey to climb out of the well(in hours) is?

  1. 20

  2. 17

  3. 16

  4. None of these


Correct Option: B

Find the odd man out in the following set of numbers: 396, 462, 572, 396, 427, 671, 264

  1. 396

  2. 427

  3. 671

  4. 264


Correct Option: B

What is the sum of two consecutive odd numbers, the difference of whose squares is 48?

  1. 24

  2. 28

  3. 32

  4. 36


Correct Option: A

How many numbers from 1 - 100, which have the letter 'A' in their spellings?

  1. All

  2. None

  3. 99

  4. 1


Correct Option: B

Which of the following two statements is correct? 1. Peacocks lay eggs. 2. A Peacock lays eggs.

  1. 1

  2. 2

  3. Both

  4. Neither


Correct Option: D
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