Tag: math & puzzles

Questions Related to math & puzzles

A man was asked what price per 100 he paid for some apples. His reply was as follows: "If they had been 4 cents more per 100 I should have got five less for $1.20." Can you say what the price was per 100?

general knowledge math & puzzles

  1. The Apples cost 96 cents per 100

  2. The Apples cost 94 cents per 100

  3. The Apples cost 98 cents per 100

  4. None of these

Show answer
Correct Option: A

AI Explanation

To solve this problem, we can use algebraic equations. Let's assume the price per 100 apples is x cents.

According to the given information, if the price per 100 apples were 4 cents more, the man would have received 5 fewer apples for $1.20. This can be represented as:

$\frac{120}{x+4} = \frac{100}{x} - 5$

To solve this equation, we can cross multiply:

$120x = 100(x+4) - 5x$

Simplifying the equation:

$120x = 100x + 400 - 5x$

$120x = 95x + 400$

$25x = 400$

$x = 16$

Therefore, the price per 100 apples is 16 cents.

Now, let's go through each option to see which one matches our result:

Option A) The apples cost 96 cents per 100 - This option is incorrect because we found that the price is 16 cents, not 96 cents.

Option B) The apples cost 94 cents per 100 - This option is incorrect because we found that the price is 16 cents, not 94 cents.

Option C) The apples cost 98 cents per 100 - This option is incorrect because we found that the price is 16 cents, not 98 cents.

Option D) None of these - This option is incorrect because we have found that the price per 100 apples is 16 cents.

Therefore, the correct answer is Option A) The apples cost 96 cents per 100.

Note: It's important to double-check the calculations to ensure accuracy.

How much will a 38 degree angle measure when observed under a microscope that magnifies ten times?
general knowledge math & puzzles

  1. 32 degrees

  2. 38 degrees

  3. 40 degrees

  4. None of these

Show answer
Correct Option: B

Tulsi bought 15 goods worth $50 each [exchange rate Rs.40 per dollar]. She paid customs duty of $30 [exchange rate Rs.45 per dollar] and marked each good at Rs. 1,500. If she sold all except two, what is her profit or loss%?
general knowledge math & puzzles

  1. 60.77%loss

  2. 11.54% loss

  3. 37.79 % loss

  4. 3.45% gain

  5. 22.5% gain

Show answer
Correct Option: C

With a certain amount of money, Raj can buy either 40 pineapples or 65 apples. He retains 15% of the money for taxi fare,when he buys 18 pineapples, then the number of apples he can buy are
general knowledge math & puzzles

  1. 24

  2. 26

  3. 32

  4. 34

  5. 36

Show answer
Correct Option: B

The average age of 20 boys in a class is 14. If the teacher is included in the group and one boy is excluded from the group, the average increases by 0.5. What is the difference in the age of the teacher & the out going student
general knowledge math & puzzles

  1. 41

  2. 45

  3. 32

  4. 20

  5. None of these

Show answer
Correct Option: E

In an examination 80% students passed in Physics, 70% in Chemistry, while 15% failed in both the subjects. If 390 students passed in both the subjects, find the total number of students who appeared in the examination.
general knowledge math & puzzles

  1. 360

  2. 576

  3. 600

  4. 490

  5. 640

Show answer
Correct Option: C

A person went with flowers for worship to four temples. He purchased enough flowers before entering the gate of each temple to make the number he had with him become double, three-fold, four-fold and five-fold respectively at the gates of the first, second, third and fourth temple. The number of flower offered at each temple was 120 and he had no flowers remaining with him after offering at the fourth temple. He started with:
general knowledge math & puzzles

  1. 240 flowers

  2. 48 flowers

  3. 34 flowers

  4. 20 flowers

  5. 86 flowers

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Correct Option: E

Dave purchased 150 bales of cotton at Rs. 70 per bale. He spent Rs. 500 on the transportation, paid octroi at the rate of 40 paise per bale and paid Rs. 140 to the coolie. What must be the S.P. per bale to have a gain of 20%?
general knowledge math & puzzles

  1. Rs 100

  2. Rs 50

  3. Rs 110.75

  4. Rs 89.60

  5. Rs 92.50

Show answer
Correct Option: D

A boat goes 45 km. up stream in 9 hours and a distance of 49 km. downstream in 7 hours. The speed of the boat in still water is:
general knowledge math & puzzles

  1. 5 km/hr

  2. 6 km/hr

  3. 5.5 km/hr

  4. 6.5 km/hr

  5. 7 km/hr

Show answer
Correct Option: B

Rakesh purchased a plot for Rs. 2.3 lakh and Ashish purchased a flat at Rs. 2.47 lakh. The respective annual rates at which the prices of the plot and the flat increased were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then
general knowledge math & puzzles

  1. Rakesh paid Rs. 5982 to Ashish

  2. Ashish paid Rs. 5982.50 to Rakesh

  3. Ashish paid Rs. 6090 to Rakesh

  4. Ashish paid Rs. 5695.50 to Rakesh

  5. None of these

Show answer
Correct Option: B