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math & puzzles Online Quiz - 77

Description: math & puzzles Online Quiz - 77
Number of Questions: 20
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Tags: math & puzzles
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Find the statement that must be true according to the given information. Georgia is older than her cousin Marsha. Marsha's brother Bart is older than Georgia. When Marsha and Bart are visiting with Georgia, all three like to play a game of Monopoly. Marsha wins more often than Georgia does.

  1. When he plays Monopoly with Marsha and Georgia, Bart often loses.

  2. Of the three, Georgia is the oldest.

  3. Georgia hates to lose at Monopoly.

  4. Of the three,Marsha is the youngest.


Correct Option: D

AI Explanation

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) When he plays Monopoly with Marsha and Georgia, Bart often loses. This option is not necessarily true according to the given information. The information only states that Bart is older than Georgia and that all three like to play Monopoly. It does not provide any information about whether Bart often loses or not.

Option B) Of the three, Georgia is the oldest. This option is not necessarily true according to the given information. The information only states that Georgia is older than Marsha, but it does not provide any information about Bart's age. Therefore, we cannot determine who is the oldest based on the given information.

Option C) Georgia hates to lose at Monopoly. This option is not necessarily true according to the given information. The information only states that all three like to play Monopoly, but it does not provide any information about Georgia's attitude towards losing.

Option D) Of the three, Marsha is the youngest. This option is true according to the given information. It is stated that Georgia is older than Marsha, and there is no information provided about Bart's age. Therefore, Marsha must be the youngest.

The correct answer is D. Of the three, Marsha is the youngest. This option is correct because it is the only statement that can be determined based on the given information.

Find the statement that must be true according to the given information. Ten new television shows appeared during the month of September. Five of the shows were sitcoms, three were hour-long dramas, and two were news-magazine shows. By January, only seven of these new shows were still on the air. Five of the shows that remained were sitcoms.

  1. Only one of the news-magazine shows remained on the air.

  2. Only one of the hour-long dramas remained on the air.

  3. At least one of the shows that was cancelled was an hour-long drama.

  4. Television viewers prefer sitcoms over hour-long dramas.


Correct Option: C

AI Explanation

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) Only one of the news-magazine shows remained on the air - This option is not necessarily true. The statement does not provide information about how many news-magazine shows remained on the air. It only mentions that two news-magazine shows were introduced in September.

Option B) Only one of the hour-long dramas remained on the air - This option is not necessarily true. The statement does not provide information about how many hour-long dramas remained on the air. It only mentions that three hour-long dramas were introduced in September.

Option C) At least one of the shows that was cancelled was an hour-long drama - This option is correct. The statement mentions that ten new television shows appeared in September, and by January, only seven were still on the air. Since there were three hour-long dramas introduced, it is possible that at least one of them was cancelled.

Option D) Television viewers prefer sitcoms over hour-long dramas - This option is not necessarily true. The statement does not provide information about viewer preferences. It only mentions the number of sitcoms and hour-long dramas introduced and how many remained on the air.

The correct answer is Option C. This option is correct because it is possible, based on the information provided, that at least one of the shows that was cancelled was an hour-long drama.

Find the statement that must be true according to the given information. The Pacific yew is an evergreen tree that grows in the Pacific Northwest. The Pacific yew has a fleshy, poisonous fruit. Recently, taxol, a substance found in the bark of the Pacific yew, was discovered to be a promising new anticancer drug.

  1. Taxol is poisonous when taken by healthy people.

  2. Taxol has cured people from various diseases.

  3. People should not eat the fruit of the Pacific yew.

  4. The Pacific yew was considered worthless until taxol was discovered.


Correct Option: C

AI Explanation

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) Taxol is poisonous when taken by healthy people - This option is incorrect. The passage only mentions that the fruit of the Pacific yew is poisonous, not taxol itself.

Option B) Taxol has cured people from various diseases - This option is incorrect. The passage does not provide any information about the effectiveness of taxol in curing diseases.

Option C) People should not eat the fruit of the Pacific yew - This option is correct. The passage states that the fruit of the Pacific yew is fleshy and poisonous. Therefore, it is advised that people should not eat the fruit.

Option D) The Pacific yew was considered worthless until taxol was discovered - This option is incorrect. The passage does not provide any information about the value or worth of the Pacific yew before taxol was discovered.

The correct answer is C. This option is correct because the passage explicitly states that the fruit of the Pacific yew is poisonous, indicating that people should not eat it.

Find the statement that must be true according to the given information. Tim's commute never bothered him because there were always seats available on the train and he was able to spend his 40 minutes comfortably reading the newspaper or catching up on paperwork. Ever since the train schedule changed, the train has been extremely crowded, and by the time the doors open at his station, there isn't a seat to be found.

  1. Tim would be better off taking the bus to work.

  2. Tim's commute is less comfortable since the train schedule changed.

  3. Many commuters will complain about the new train schedule.

  4. Tim will likely look for a new job closer to home.


Correct Option: B

AI Explanation

To answer this question, we need to analyze the information given and determine which statement must be true based on that information.

The given information states that Tim's commute used to be comfortable because there were always seats available on the train. However, since the train schedule changed, the train has become extremely crowded, and by the time the doors open at Tim's station, there are no seats available.

Based on this information, the statement that must be true is:

B. Tim's commute is less comfortable since the train schedule changed.

This statement is true because the given information explicitly states that the train has become extremely crowded and there are no seats available, which implies that Tim's commute has become less comfortable.

If a car had increased its average speed for a 180-mile trip by 5 mph, the trip would have been completed in 30 minutes less. What was the car's original speed?

  1. 40 mph

  2. 50 mph

  3. 90 mph

  4. None of these


Correct Option: A

In the local corner store, six chocolate drops(CD) and five fruit jellies(FJ) cost 61 cents. However, five chocolate drops and six jellies cost only 60 cents. How much does each item cost?

  1. CD 5 cents and FJ 6 cents

  2. CD 7 cents and FJ 4 cents

  3. CD 6 cents and FJ 5 cents.

  4. None of these


Correct Option: C

A train, 0.25 miles long, going at a speed of 40mph enters a tunnel that is 2.25 miles long. How long does it take for all of the train to pass through the tunnel from the moment the front enters it, to the moment the rear emerges?

  1. 2 minutes 30 seconds

  2. 3 minutes 45 seconds

  3. 4 minutes 15 seconds

  4. None of these


Correct Option: B

A man returned from his greenhouse with a small basket of cherries. To his first friend he gave half his cheries, plus half a pair of cherries, to his second he gave half of what he had left, plus a half a pair of cherries, and to the third he gave half of what he had left, plus half a pair of cherries. This meant he had no cherries left. How many did he start with?

  1. 2 pairs of cherries

  2. 6 pairs of cherries

  3. 7 pais of cherries

  4. None of these


Correct Option: C

What number should replace the question mark? 13,44,88,176,847,?

  1. 1595

  2. 1190

  3. 2330

  4. None of these


Correct Option: A

AI Explanation

To answer this question, let's try to find the pattern in the given sequence:

13, 44, 88, 176, 847, ?

Looking at the sequence, it appears that each number is obtained by multiplying the previous number by a certain factor and then adding a specific value.

  • The first number, 13, can be obtained by multiplying 1 by 10 and adding 3: (1 * 10) + 3 = 13.
  • The second number, 44, can be obtained by multiplying 4 by 10 and adding 4: (4 * 10) + 4 = 44.
  • The third number, 88, can be obtained by multiplying 8 by 10 and adding 8: (8 * 10) + 8 = 88.
  • The fourth number, 176, can be obtained by multiplying 16 by 10 and adding 16: (16 * 10) + 16 = 176.
  • The fifth number, 847, can be obtained by multiplying 64 by 10 and adding 7: (64 * 10) + 7 = 847.

Based on this pattern, we can conclude that the next number in the sequence should be obtained by multiplying the previous number by 10 and adding some value.

To find the missing number, we can apply the same pattern to the fifth number, 847.

The missing number is obtained by multiplying 64 by 10 and adding some value: (64 * 10) + x = ?

Simplifying the equation, we get:

640 + x = ?

To find the value of x, we need to subtract 640 from the given answer options:

A) 1595 - 640 = 955 B) 1190 - 640 = 550 C) 2330 - 640 = 1690 D) None of these

Comparing the value of x with the answer options, we can see that the correct answer is A) 1595, as it matches the value of x obtained from the equation.

Therefore, the number that should replace the question mark is 1595.

If green plus blue makes 89, and red plus black makes 56, What does yellow plus brown make?

  1. 100

  2. 164

  3. 144

  4. None of these


Correct Option: B

AI Explanation

To solve this question, we need to determine the values of the colors and then find the sum of yellow and brown.

Let's assign variables to the values of the colors:

Let: Green = G Blue = B Red = R Black = K Yellow = Y Brown = Br

From the given information, we have two equations:

1) G + B = 89 2) R + K = 56

We need to find the value of Y + Br.

Since we don't have direct information about the values of yellow and brown, we need to find a relationship between the variables.

Let's consider the sum of all the colors:

(G + B) + (R + K) = 89 + 56 G + B + R + K = 145

Now, let's express this sum in terms of yellow and brown:

(G + B) + (R + K) = (Y + Br) + (G + R + B + K)

Since we know the values of (G + B) and (R + K), we can substitute them in to get:

89 + 56 = (Y + Br) + 145 145 = Y + Br + 145

From this equation, we can conclude that Y + Br = 0.

Therefore, the correct answer is D) None of these, as the sum of yellow and brown is 0.

You have 14 brown socks, 14 blue socks and 14 black socks in your sock drawer. How many socks must you remove (without looking to be sure) to have a matched pair?

  1. 4

  2. 5

  3. 6

  4. None of these


Correct Option: A

Tony and Tommy have been experimenting with balloons. They found that if they fill 5 balloons with helium, they can use the balloons to lift 50 pounds. Three of the same balloons filled with hydrogen lift 60 pounds. Ten filled with neon lift 20 pounds. How many pounds could the men lift with 5 neon, one hydrogen, and two helium balloons?

  1. 30 Pounds

  2. 40 Pounds

  3. 50 pounds

  4. None of these


Correct Option: C

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?

  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


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?

  1. 32 degrees

  2. 38 degrees

  3. 40 degrees

  4. None of these


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%?

  1. 60.77%loss

  2. 11.54% loss

  3. 37.79 % loss

  4. 3.45% gain

  5. 22.5% gain


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

  1. 24

  2. 26

  3. 32

  4. 34

  5. 36


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

  1. 41

  2. 45

  3. 32

  4. 20

  5. None of these


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.

  1. 360

  2. 576

  3. 600

  4. 490

  5. 640


Correct Option: C

AI Explanation

To find the total number of students who appeared in the examination, we can use the concept of set theory and Venn diagrams.

Let's assume the total number of students who appeared in the examination is represented by the variable 'x'.

According to the given information:

  • 80% of students passed in Physics, which means 80% of 'x' students passed in Physics.
  • 70% of students passed in Chemistry, which means 70% of 'x' students passed in Chemistry.
  • 15% of students failed in both the subjects, which means 15% of 'x' students failed in both Physics and Chemistry.
  • 390 students passed in both the subjects.

Using this information, we can create an equation based on the principle of inclusion-exclusion: (Number of students who passed in Physics) + (Number of students who passed in Chemistry) - (Number of students who passed in both) + (Number of students who failed in both) = Total number of students

Let's solve this equation to find the value of 'x':

(80% of x) + (70% of x) - (390) + (15% of x) = x

Simplifying the equation: 0.80x + 0.70x - 390 + 0.15x = x 1.65x - 390 = x 0.65x = 390 x = 390 / 0.65 x = 600

Therefore, the total number of students who appeared in the examination is 600.

Hence, the correct answer is option C) 600.

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:

  1. 240 flowers

  2. 48 flowers

  3. 34 flowers

  4. 20 flowers

  5. 86 flowers


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%?

  1. Rs 100

  2. Rs 50

  3. Rs 110.75

  4. Rs 89.60

  5. Rs 92.50


Correct Option: D
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