text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Light-weight air-filled bones and a large four-chambered heart helps a bird do what?
Answer choice: (A) fly (B) swim (C) digest (D) run<|im_end|>
<|im_start|>assistant
<think>
</think>
Bird organ systems are adapted for flight. For example, they have light-weight air-filled bones and a large four-cha... | 6,389 |
<|im_start|>user
If ab+bc+ca=0,What is the value of a^2+b^2+c^2?
Answer Choices: (A) (a^2+b^2+c^2) /2 (B) (a+b+c) ^2 (C) (a^2+b^2+c^2) ^2 (D) a+b+c (E) c+a+b<|im_end|>
<|im_start|>assistant
<think>
</think>
The option B is correct.
The formula (a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca).
(a+b+c)^2=a^2+b^2+c^2+2(0).
a^2+b^2+c^2... | 3,701 |
<|im_start|>user
The simple form of the ratio 5/3:2/5 is?
Answer Choices: (A) 10:6 (B) 10:3 (C) 25:6 (D) 25:3 (E) 30:3<|im_end|>
<|im_start|>assistant
<think>
</think>
5/3 : 2/5 = 25:6
The answer is C<|endoftext|> | 71,086 |
<|im_start|>user
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: When you read the math problem, you probably saw that the bat an... | 20,555 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1000 resolutions?
Answer Choices: (A) 1077 m (B) 804 m (C) 978 m (D) 1048 m (E) 878V<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Di... | 71,226 |
<|im_start|>user
Each of the integers from 0 to 8, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9?
Answer Choic... | 27,616 |
<|im_start|>user
z is a positive integer and multiple of 2; p = 4^z, what is the remainder when p is divided by 10?
Answer Choices: (A) 10 (B) 6 (C) 4 (D) 0 (E) It Cannot Be Determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: z is an even Integer
The cyclicity of Unit Digit of 4 is 2 i.e. Unit digit of... | 78,327 |
<|im_start|>user
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the T % profit made by the merchant?
Answer Choices: (A) 66.67 % (B) 50 % (C) 200 % (D) 100 % (E) 33.33 %<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P of ... | 54,652 |
<|im_start|>user
It takes Avery 3 hours to build a brick wall while Tom can do it in 2.5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Answer Choices: (A) 25 minutes. (B) 30 minutes. (C) 40 minutes. (D) 55 minutes (E) 1 hour and ... | 83,174 |
<|im_start|>user
Every day a certain bank calculates its average daily deposit for that calendar month up to and including that day. If on a randomly chosen day in June the sum of all deposits up to and including that day is a prime integer greater than 100, what is the probability that the average daily deposit up to ... | 90,949 |
<|im_start|>user
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Answer Choices: (A) 1 hr (B) 3 hr (C) 2 hr (D) 6 hr (E) 8 hr<|im_end|>
<|im_start|>assistant
<thi... | 6,973 |
<|im_start|>user
A rectangular swimming pool is 20 feet by 20 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 576 square feet. What is the width of the deck?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the width =W
T... | 29,967 |
<|im_start|>user
If sin x + cos x =
1/2
, then what is the value of sin-3- x + cos-3-x?
(Suggestion: Do not nd the individual values of sin x and cos x.)
Answer Choices: (A) 1 /2 (B) 3/ 4 (C) 9 /16 (D) 5/ 8 (E) 11/ 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Since sin x + cos x = 1=2, we get
1
4
= (sin x + co... | 62,787 |
<|im_start|>user
Reducing the production of what gas, or removing it from the air, are practices that could reduce global warming?
Answer choice: (A) carbon dioxide (B) helium (C) hydrogen (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
Efforts to reduce future global warming mainly involve energy use. We... | 4,395 |
<|im_start|>user
What do communication satellites carry and use to provide energy during their missions?
Answer choice: (A) geothermal panels (B) batteries (C) infrared panels (D) solar panels<|im_end|>
<|im_start|>assistant
<think>
</think>
Communications satellites carry solar panels to provide energy for their mis... | 2,293 |
<|im_start|>user
A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 21
matches are totally played, how many teams participated?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant... | 55,475 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 439 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which person is part of state government?
Answer Choices: (A) a governor (B) a president (C) a mayor<|im_end|>
<|im_start|>assistant
<think>
</think>
A governor is the leader of a state. A mayor is the leader o... | 3,817 |
<|im_start|>user
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum Q of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Answer Choices: (A) 6x (B) 4x (C) 5x/3 (D) 3x/2 (E) 3x/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Note that we have... | 25,351 |
<|im_start|>user
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Answer Choices: (A) 27 (B) 29 (C) 36 (D) 34 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
The total of seven numbers = 7X18 = 126
The total of... | 3,457 |
<|im_start|>user
Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 2/3 of the votes cast?
Answer Choices: (A) 1/5 (B) 2/7 (C) 3/10 (D) 7/20 (E) 4/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total votes be 100... | 40,092 |
<|im_start|>user
20% of a 6 liter solution and 60% of 4 liter solution are mixed. What percentage of the mixture of solution
Answer Choices: (A) 36% (B) 18% (C) 35% (D) 34% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
20% of 6 lit =6/5
60% of 4 lit =12/5
(6/5) + (12/5) =18/5
percentage of 10 lit = (18/5)*... | 94,133 |
<|im_start|>user
When n is divided by 24, the remainder is 5. What is the remainder when 4n is divided by 8?
Answer Choices: (A) 3 (B) 5 (C) 4 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n=5 (leaves a remainder of 5 when divided by 24)
4n = 4(5) =20, which leaves a remainder of 4 when divided by ... | 22,984 |
<|im_start|>user
A man has Rs. 800 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 370 (B) 380 (C) 220 (D) 900 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 91,732 |
<|im_start|>user
Ram and Shyam distribute some coins amongst them in the ratio 4:5. If Ram steals 3 coins from Shyam, the ratio of coins they have becomes 5:4. How many coins did they distribute initially?
Answer Choices: (A) 81 (B) 27 (C) 15 (D) 12 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Initially, th... | 13,411 |
<|im_start|>user
The average of five results is 46 and that of the first four is 45. The fifth result is?
Answer Choices: (A) 50 (B) 88 (C) 77 (D) 66 (E) 51<|im_end|>
<|im_start|>assistant
<think>
</think>
5 * 46 – 4 * 45
= 50
The answer is A<|endoftext|> | 36,689 |
<|im_start|>user
The sequence a1, a2, … , an, … is such that an=2an−1−x for all positive integers n ≥ 2 and for certain number x. If a5=99 and a3=27, what is the value of x?
Answer Choices: (A) 3 (B) 9 (C) 18 (D) 36 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
a5= 2*a4 - x = 99
a4 = 2*a3 - x = 2*27 - x
the... | 28,802 |
<|im_start|>user
In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Answer Choices: (A) N/9 (B) 8N/9 (C) 11N/18 ... | 37,962 |
<|im_start|>user
A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 18 sec (B) 16 sec (C) 76 sec (D) 12 sec (E) 17 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec
The answer is D<|endoftext|> | 43,695 |
<|im_start|>user
To be considered grade AD, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AD eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AD eggs are used, the shells are all discarded, and no mass is lost ... | 33,154 |
<|im_start|>user
Its not easy having a mathematics professor as a friend. When she invited you to her house she
says, “All the houses on my side of the street are numbered consecutively in even numbers. There are
Six houses on my Side of my block and sum of their numbers is 9870. You don’t know which block I
live on, a... | 33,167 |
<|im_start|>user
In a dairy farm, 45 cows eat 45 bags of husk in 45 days. In how many days one cow will eat one bag of husk ?
Answer Choices: (A) 34 days (B) 45 days (C) 46 days (D) 50 days (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Less Cows, More days (Indirect Proportion)
Less ... | 28,181 |
<|im_start|>user
Which form of matter assumes the shape of its container?
Answer choice: (A) solids (B) gas (C) liquids (D) crystals<|im_end|>
<|im_start|>assistant
<think>
</think>
Gases assume the shape of their container.
The answer is B<|endoftext|> | 7,342 |
<|im_start|>user
In how many R ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Answer Choices: (A) 6 (B) 12 (C) 18 (D) 24 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of ways of arranging the word GMAT = 4! = 24
Number of ways of arranging the word GMAT so tha... | 84,450 |
<|im_start|>user
What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?
Answer Choices: (A) Rs. 400. 00 (B) Rs. 120. 00 (C) Rs. 510. 00 (D) Rs. 520. 00 (E) Rs. 220. 00<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
SI for 2 years = 568 – 520 = Rs. 48
SI for 5 ... | 35,678 |
<|im_start|>user
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Answer Choices: (A) 11 (B) 12 (C) 15 (D) 13 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = ... | 90,317 |
<|im_start|>user
which number need to add to 859622 to get a number exactly divisible by 456?
Answer Choices: (A) 123234 (B) 345467 (C) 467879 (D) 356687 (E) 859622<|im_end|>
<|im_start|>assistant
<think>
</think>
Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the n... | 21,623 |
<|im_start|>user
Each of 435 bags contains at least one of the following three items: coconut, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only coconu... | 88,752 |
<|im_start|>user
The hydroxyl radical is highly reactive because it has what?
Answer choice: (A) unpaired neutron (B) paired proton (C) paired electron (D) unpaired electron<|im_end|>
<|im_start|>assistant
<think>
</think>
Because the hydroxyl radical has an unpaired electron, it is highly reactive. (This is true of ... | 7,968 |
<|im_start|>user
What is the value of 11^x-11^(x+2), where x is the largest integer such that 11^x is a factor of 30,030?
Answer Choices: (A) -1331 (B) -1320 (C) -121 (D) -120 (E) -1<|im_end|>
<|im_start|>assistant
<think>
</think>
The given expression is 11x-11(x^+2) =11x(1-x)
1x needs to be factor of 30030 and x ne... | 38,438 |
<|im_start|>user
The greatest possible length which can be used to measure exactly the length 5m, 4m 45m, 10 m 45 cm is
Answer Choices: (A) 15 cm (B) 25 cm (C) 5 cm (D) 42 cm (E) 43 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required Length = H.C.F of 500 cm, 445 cm and 1045 c
= 5 cm.
The answer... | 74,802 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 3,758 |
<|im_start|>user
By selling 15 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Answer Choices: (A) 8 (B) 7 (C) 6 (D) 4 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
80% --- 15
120% --- ?
80/120 * 15
= 10
The answer is E<|endoftext|> | 10,126 |
<|im_start|>user
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Answer Choices: (A) 72 (B) 72.9 (... | 23,032 |
<|im_start|>user
Walking at 8KMPH From Point W to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point W to Railway station?
Answer Choices: (A) A) 9KM (B) B) 6.66KM (C) C) 7.25KM (D) D) 12.40KM (E) E) 13KM<|i... | 8,732 |
<|im_start|>user
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Answer Choices: (A) 17523 (B) 2788 (C) 1750 (D) 2787 (E) 29899<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 96,774 |
<|im_start|>user
If a and b are both prime numbers greater than 12, which of the following CANNOT be true?
I. ab is an even number.
II. The difference between a and b equals 117.
III. The sum of a and b is even.
Answer Choices: (A) I only (B) I and III only (C) I and II only (D) II and III only (E) I, II and III<|... | 7,593 |
<|im_start|>user
The median of a triangle is the line from any vertex to the midpoint of the opposite side. Triangle ABC has vertices A = (0, 5), B = (–1, –1), and C = (5, 2). What is the slope of the median from A to the midpoint of BC?
Answer Choices: (A) –3/4 (B) >–4/3 (C) –5 (D) –5/2 (E) –9/4<|im_end|>
<|im_start|>... | 86,114 |
<|im_start|>user
The largest 4 digit number exactly divisible by 88 is:
Answer Choices: (A) 9944 (B) 9768 (C) 9988 (D) 8888 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
=... | 38,860 |
<|im_start|>user
For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Answer Choic... | 42,926 |
<|im_start|>user
A man can row at 6 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Answer Choices: (A) 2.4 km (B) 2.6 km (C) 2.9 km (D) 4.4 km (E) 5.6 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed in sti... | 75,076 |
<|im_start|>user
A container contains 30 liters of milk. From this container 5 liter of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
Answer Choices: (A) 17.26liter (B) 17.39 liter (C) 17.36 liter (D) 17.32 liter (E) 57.36 liter<|... | 71,912 |
<|im_start|>user
9, 12, 11, 14, 13, ?, 15
Answer Choices: (A) 12 (B) 16 (C) 15 (D) 17 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Alternatively, 3 is added and one is subtracted.
The answer is B<|endoftext|> | 64,539 |
<|im_start|>user
Manet has to pay back her bank loan over 9 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, ?
How much will she pay back on the ninth month?
Answer Choices: (A) $155 (B) $145 (C) $135 (D) $125 (E) $130<|im_end|>
<|im_start|>assistant
<think>
</think>
The sequence progres... | 95,285 |
<|im_start|>user
A man had 38 sheep. he wanted to divide them equally among his 6 children. How many sheep shall he keep to himself, so as to equally divide remaining sheep among his 6 children?
Answer Choices: (A) 6 (B) 5 (C) 4 (D) 2 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Since he has 38 sheep and 6 ... | 52,737 |
<|im_start|>user
P can do the work in 12 days and Q can do the same work in 15 days. If they work together for 4 days, what is the fraction of work that is left?
Answer Choices: (A) 1/5 (B) 2/5 (C) 7/15 (D) 11/15 (E) 23/30<|im_end|>
<|im_start|>assistant
<think>
</think>
4/12 + 4/15 = 1/3 + 4/15 = 9/15 = 3/5 (complet... | 41,784 |
<|im_start|>user
Which number need to add to 172835 to get a number exactly divisible by 136?
Answer Choices: (A) 27 (B) 25 (C) 26 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
172835 / 136 = 1270 and reminder = 115.
136-115 = 21
So, the next number divisible by 115 is 21 places in front of 172835
Wh... | 42,856 |
<|im_start|>user
What is the name of the elongated bony structure that anchors the anterior thoracic cage?
Answer choice: (A) pelvis (B) collar bone (C) tibia (D) sternum<|im_end|>
<|im_start|>assistant
<think>
</think>
Sternum The sternum is the elongated bony structure that anchors the anterior thoracic cage. It co... | 4,474 |
<|im_start|>user
A dual sink has a right side and left side. Working alone, the right side can fill up in 5 hours. Working alone, the left side can empty in 15 hours. If it is desired that the sink should be filled, from empty, exactly 6 hours after the right side is turned on at 9:30am, then at what time should the le... | 18,223 |
<|im_start|>user
357 : 73 ::?
Answer Choices: (A) 429 : 94 (B) 201 : 21 (C) 138 : 38 (D) 93 : 39 (E) 95 : 39<|im_end|>
<|im_start|>assistant
<think>
</think>
357 : 73
to get 2nd number,middle digit is removed, 1st & last interchanged their position of 1st no.
only option a) match this.
The answer is A<|endoftext|> | 36,615 |
<|im_start|>user
Village X has a population of 72000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Answer Choices: (A) 15 (B) 19 (C) 11 (D) 18 (E) 13<|im_end|>
<... | 2,113 |
<|im_start|>user
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Answer Choices: (A) Rs. 207.40 (B) Rs. 534.60 (C) Rs. 648 (D) Rs. 655.60 (E) Rs. 555<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of shares =4455/8.25 =540
Face v... | 28,869 |
<|im_start|>user
How many meters are there in 770 centimeters?
Answer Choices: (A) 770 meters (B) 7.6 meters (C) 700 meters (D) 6.5 meters (E) 7.7 meter<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
1 meter = 100 centimeters
Just divide 770 by 100
770 ÷ 100 = 7.7, so there are 7.7 meters in 770 centimet... | 97,138 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are more than 100 different chemical elements, or types of atoms. Chemical elements make up all of the substances around you.
A substance may be composed of one chemical element or multiple chemical elements. Substance... | 6,131 |
<|im_start|>user
For many decades, scientists have known that atoms consist of electrons and other particles called protons and?
Answer choice: (A) rods (B) neutrons (C) waves (D) nanoparticles<|im_end|>
<|im_start|>assistant
<think>
</think>
For many decades, scientists have known that atoms consist of electrons and... | 8,010 |
<|im_start|>user
Mammals generate heat primarily by maintaining a high rate of what?
Answer choice: (A) reproduction (B) metabolism (C) respiration (D) movement<|im_end|>
<|im_start|>assistant
<think>
</think>
Mammals generate heat mainly by keeping their metabolic rate high. The cells of mammals have many more mitoc... | 11,120 |
<|im_start|>user
A square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8cm and breadth 4cm. What is the perimeter of the newly formed rectangle?
Answer Choices: (A) 10 (B) 20 (C) 40 (D) 60 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Dimensions of newly... | 68,097 |
<|im_start|>user
A positive integer x has 60 divisors and 7x has 80 divisors. What is the greatest integer y such that 7y7y divides n?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of factors of x = 60 = (p+1)*(q+1)*(r+1)... = 2^2 * 3 * 5
Now note that 7x ... | 59,102 |
<|im_start|>user
A certain fraction has the same ratio to 1/18, as 2/5 does to 7/9. What is this certain fraction?
Answer Choices: (A) 1/20 (B) 1/25 (C) 1/30 (D) 1/35 (E) 1/40<|im_end|>
<|im_start|>assistant
<think>
</think>
x / (1/18) = (2/5) / (7/9)
x = 2*9*1 / 18*5*7 = 1/35
The answer is D<|endoftext|> | 80,042 |
<|im_start|>user
What is the measure of the amount of energy found in sound waves?
Answer choice: (A) decibels (B) density (C) frequency (D) intensity<|im_end|>
<|im_start|>assistant
<think>
</think>
A friend whispers to you in class in a voice so soft that you have to lean very close to hear what he’s saying. Later ... | 7,023 |
<|im_start|>user
A woman sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Answer Choices: (A) 11% (B) 700% (C) 430% (D) 9% (E) 125<|im_end|>
<|im_start|>assistant
<think>
</think>
D
(30*30)/100 = 9%loss
The answer is D<|endoftext|> | 82,977 |
<|im_start|>user
When the positive integer g is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer h is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of g-h?
Answer Choices: (A) 12 (B) 24 (C) 35 (D) 16 (E) 30<|im_end|>
<|im_start|>... | 68,126 |
<|im_start|>user
One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Answer Choices: (A) 1 hour (B) 1.2 hour (C) 3... | 79,497 |
<|im_start|>user
Use distributive property to solve the problem below:
Maria bought 10 notebooks and 7 pens costing 2 dollars each.How much did Maria pay?
Answer Choices: (A) 34 dollars (B) 40 dollars (C) 50 dollars (D) 60 dollars (E) 70 dollars<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
2 × (10 + 7) =... | 64,283 |
<|im_start|>user
Two boys are standing side-by-side. One boy, which is 3 feets tall, casts a shadow that is 4.5
feets long. The other boy is 4 feets tall. Compute, in feets, the length of the shadow that
the taller boy casts.
Answer Choices: (A) 8 (B) 10 (C) 6 (D) 4 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</thi... | 47,813 |
<|im_start|>user
On a wedding catering service, An experienced chef can prepare a service for a wedding in 4 hours while an novice chef would finish the preparations in 16 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding servi... | 14,599 |
<|im_start|>user
How many 8's are present in the following sequence of numbers which are exactly divisible by both its preceding and following numbers ?
Answer Choices: (A) Less than 4 (B) Less than 7 (C) Less than 90 (D) Less than 6 (E) Less than 67<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3 8 6... | 70,682 |
<|im_start|>user
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Answer Choices: (A) 987 ways (B) 346 ways (C) 600 ways (D) 157 ways (E) 134 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways of selecting three ... | 58,269 |
<|im_start|>user
Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped?
Answer Choices: (A) 20 (B) 25 (C) 45 (D) 65 (E) 80<|im_end|>
<|im_start|>ass... | 44,693 |
<|im_start|>user
A train 200 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer Choices: (A) 11 (B) 10 (C) 5 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative ... | 2,746 |
<|im_start|>user
If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Answer Choices: (A) 2:5 (B) 2:4 (C) 3:0 (D) 2:1 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
5M + 2B = 4(... | 75,780 |
<|im_start|>user
Can you find the smallest non fractional number such that
If the number gets divided by 3 , we get the remainder of 1;
If the number gets divided by 4 , we get the remainder of 2
If the number gets divided by 5 , we get the remainder of 3;
If the number gets divided by 6 , we get the remainder of 4.
An... | 75,953 |
<|im_start|>user
The average age of a class of 20 students is 14 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Answer Choices: (A) 40 years (B) 41 years (C) 42 years (D) 43 years (E) 36 years<|im_end|>
<|im_start|>assistant
<think>
</think>
If age of the teach... | 51,653 |
<|im_start|>user
In measuring the sides of a rectangle, one side is taken 6% in excess, and the other 5% in deficit. Find the error percent in the area calculated from these measurements.
Answer Choices: (A) 0.11% (B) 0.7% (C) 0.4% (D) 0.6% (E) 0.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x and y be the ... | 78,547 |
<|im_start|>user
If A got 60 marks and B got 30 marks, then what percent of A's mark is B's mark?
Answer Choices: (A) A) 60% (B) B) 80% (C) C) 65% (D) D) 50% (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
A's marks = 60 ; B's marks = 30.
Let x% of A = B => x/100 * 60 = 30
=> x = (30 * 100)/60 = 50
B's ... | 26,034 |
<|im_start|>user
A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Answer Choices: (A) 1/20 (B) 1/12 (C) 1/5 (D) 4/21 (E) 5/21<|im_end|>
<|im_start|>as... | 88,575 |
<|im_start|>user
A computer factory produces 8400 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Answer Choices: (A) 2.25. (B) 3.125. (C) 4.5. (D) 5.225. (E) 6.25.<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of hours in 2... | 8,240 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 187 |
<|im_start|>user
If x and y are positive integers, and x^3*y^4 = 648, which of the following is the value of xy?
Answer Choices: (A) 6 (B) 10 (C) 14 (D) 15 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
648 = 2*324 = 2^2*162 = 2^3*81 = 2^3*3^4
xy = 2*3 = 6
The answer is A<|endoftext|> | 65,265 |
<|im_start|>user
Cost of 2 bats and 3 balls is Rs.1300. The cost of 3 bats and 2 balls is Rs.1200. The cost of each balls is more than that of each bat by?
Answer Choices: (A) 50 (B) 100 (C) 110 (D) 120 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
2Bats + 3Ball = 1300 --- (1)
3Bats + 3Ball = 1200 --- (2)
... | 30,575 |
<|im_start|>user
A wheel of a car of radius 21 cms is rotating at 700 RPM. What is the speed of the car in km/hr?
Answer Choices: (A) 79.2 km/hr (B) 55.44 km/hr (C) 7.92 km/hr (D) 39.6 km/hr (E) 3.96 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatory Answer
The radius of the wheel measures 21 cm.
In o... | 74,986 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the mile.
Time tells you how long the ... | 3,057 |
<|im_start|>user
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 4, then v=
Answer Choices: (A) 6 (B) 9 (C) 12 (D) 15 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
(v*)* = (v - v/3) - (v - v/3) / 3
4 = 2v/3 - 2v/9 = 4v/9
v = 9
The answer is B<|endoftext|> | 17,488 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There is a surplus if there is too much for sale at a given price.
There is a shortage if there is not enough for sale at a given price.
Surpluses and shortages usually happen when people who are selling goods or services ch... | 665 |
<|im_start|>user
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 350 (B) 288 (C) 277 (D) 2912 (E) 321<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x mete... | 21,743 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.500, what is the reduced price for kg?
Answer Choices: (A) 25 (B) 60 (C) 70 (D) 80 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A
500*(25/100) = 125 ---- 5
? ---- 1 => Rs.25
The answer is A<|endoftext|> | 19,995 |
<|im_start|>user
Three candidates contested an election and received 3644 votes, 7636 votes, and 12720 votes respectively. What percentage of the total votes did the winning candidate receive?
Answer Choices: (A) 53% (B) 55% (C) 57% (D) 59% (E) 61%<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ... | 26,270 |
<|im_start|>user
A room contains 140 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Answer Choices: (A) 10 (B) 35 (C) 40 (D) 60 (E) 80<|im_end|>
<|im_start|>assistant
<think... | 17,130 |
<|im_start|>user
A sum of money place at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
100 ---- 200 ---- 5
400 ---- 5
800 ---- 5
------
15 years
The answer is D<|e... | 59,701 |
<|im_start|>user
A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 96 (B) 70 (C) 50 (D) 80 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n... | 2,816 |
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