text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In how many ways can 4 boys and 2 girls sit around a table in such a way that no two girls sit together?
Answer Choices: (A) 74 (B) 72 (C) 78 (D) 82 (E) 68<|im_end|>
<|im_start|>assistant
<think>
</think>
The 4 boys can be seated around a table in 3! Ways. In between them there are 4 places.
The 2 gi... | 90,367 |
<|im_start|>user
How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?
Answer Choices: (A) 3 (B) 4 (C) 8 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the first two (last tw... | 11,797 |
<|im_start|>user
A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
Answer Choices: (A) Rs. 120 (B) Rs. 160 (C) Rs. 270 (D) Rs. 300 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION
Let C’s share = Rs. x
Then, B’s share = Rs... | 625 |
<|im_start|>user
Nitin ranks 27th in a class of 89 students. What is rank from the last ?
Answer Choices: (A) 63 (B) 65 (C) 67 (D) 87 (E) 89<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number students behind the nitin in rank = (89 - 27) = 62
Nitin is 63th from the last
The answer is A<|endoftext|> | 69,916 |
<|im_start|>user
What is the ratio of Arun's monthly income in the year 2006, Suman's monthly income in the year 2007 and Jyothi's monthly income in the year 2005?
Answer Choices: (A) 22 (B) 67 (C) 26 (D) 18 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 71,314 |
<|im_start|>user
A number exceeds by 40 from its 3/8 part. Then the number is?
Answer Choices: (A) A) 32 (B) B) 24 (C) C) 64 (D) D) 40 (E) E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
x – 3/8 x = 40
x = 64
The answer is C<|endoftext|> | 94,304 |
<|im_start|>user
If (c - a)/(c - b) = 1, then (5b - 3a)/(c - a) =
Answer Choices: (A) 0.5 (B) 1 (C) 1.5 (D) 2 (E) 2.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's say c=2, b=1, a=1 so that our 1st expression holds true. Now, ibsert those numbers in the second expression and we'll get 2
The answer is D<|endo... | 84,788 |
<|im_start|>user
What is the chemical formula for a glucose molecule?
Answer choice: (A) a5 h12 o6 (B) H2 C3 NA6 (C) d5 h12 o6 (D) c6 h12 o6<|im_end|>
<|im_start|>assistant
<think>
</think>
The sugar glucose is a covalent compound. When sugar dissolves in water, it forms individual glucose molecules (C 6 H 12 O 6 ). ... | 3,338 |
<|im_start|>user
In how many ways 5 boys and 5 girls can be seated in a row so that boys and girls are alternate?
Answer Choices: (A) 28400 (B) 28500 (C) 28600 (D) 28700 (E) 28800<|im_end|>
<|im_start|>assistant
<think>
</think>
number of ways = 2*5!*5! = 28800
The answer is E<|endoftext|> | 97,101 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 2,451 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A chemical change occurs when new substances are formed from existing substances. This process is called a chemical reaction.
In a chemical reaction, one or more substances change into one or more different substances. Durin... | 396 |
<|im_start|>user
What causes cobalt chloride to turn pink?
Answer choice: (A) discussed 2 + ions (B) show 2 + ions (C) h20 + ions (D) co 2+ ions<|im_end|>
<|im_start|>assistant
<think>
</think>
A solution of cobalt chloride in water is pink due to the presence of the solvated Co 2+ ion. If sufficient HCl is added, th... | 11,245 |
<|im_start|>user
There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ?
Answer Choices: (A) 950 (B) 1050 (C) 2150 (D) 2050 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</think>
n(s) = sample space = 25C3 = 2300
E = event that 1 g... | 467 |
<|im_start|>user
What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 06 cm?
Answer Choices: (A) 153 (B) 187 (C) 540 (D) 748 (E) 546<|im_end|>
<|im_start|>assistant
<think>
</think>
The marbles used to tile the floor are square marbles.
Therefore, the lengt... | 40,568 |
<|im_start|>user
In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies
Answer Choices: (A) 250 (B) 150 (C) 100 (D) 50 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
(3 men out of 6) and (2 ladies out of 5) are to be chosen
Required number of ways
=(6C3 * 5... | 18,627 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 100 (B) 150 (C) 280 (D) 290 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(85/100) =... | 13,836 |
<|im_start|>user
What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 2?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) None of the above (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice that in the brackets we have the sum of 9 even multiples of 2, which yields remainder of 0 upon division by 2.
Th... | 63,031 |
<|im_start|>user
There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Answer Choices: (A) 3/7 (B) 5/8 (C) 6 (D) 6/7 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the t... | 29,082 |
<|im_start|>user
John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) 19.7 (B) 19.9 (C) 21.5 (D) 22 (E) 23.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cos... | 50,195 |
<|im_start|>user
A can do a piece of work in 4 days. B can do it in 9 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Answer Choices: (A) 22 days (B) 36/5 days (C) 67 days (D) 17/7 days (E) 18 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/2 - 1/... | 30,914 |
<|im_start|>user
A person walking at 10 Kmph reaches his office 10 minutes late. If he walks at 15 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
Answer Choices: (A) 5km (B) 15km (C) 8km (D) 10km (E) 20km<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = S1*S2/S2-S1 * T1+T2/... | 21,103 |
<|im_start|>user
In the absence of air resistance, all falling objects accelerate at the same rate due to what force?
Answer choice: (A) velocity (B) weight (C) motion (D) gravity<|im_end|>
<|im_start|>assistant
<think>
</think>
What if you were to drop a bowling ball and a soccer ball at the same time from the same ... | 52 |
<|im_start|>user
The product X of two prime numbers is between 15 and 90. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Answer Choices: (A) 18 (B) 29 (C) 37 (D) 44 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
Option BC can be ruled... | 51,805 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Some animals have a backbone. The backbone is made of many bones in an animal's back. An animal's backbone helps connect the different parts of its body. In the drawings below, each animal's backbone is colored orange.
Other... | 2,709 |
<|im_start|>user
List I: 3, 6, 14, 19
List II: x, 3, 14, 8, 19
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
We start by calculating the median of the numbers of list I: 3, 6, 14, 19. We see that the numbers in the list are in order already and, since we have an ... | 91,962 |
<|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... | 117 |
<|im_start|>user
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
Answer Choices: (A) 16 (B) 77 (C) 15 (D) 18 (E) 161<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 4,508 |
<|im_start|>user
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Answer Choices: (A) 8 (B) 9 (C) 5 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
2x * x = 128 => x= 8
The answer is A<|endoftext|> | 42,799 |
<|im_start|>user
A train passes a station platform in 36 sec and a man standing on the platform in 21 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 288 (B) 225 (C) 881 (D) 1277 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 m/sec.
... | 69,468 |
<|im_start|>user
Rs.8000 become Rs.8652.8 in a certain interval of time at the rate of 4% per annum of C.I. Find the time?
Answer Choices: (A) 6 years (B) 8 years (C) 9 years (D) 3 years (E) 2 years<|im_end|>
<|im_start|>assistant
<think>
</think>
8652.8 = 8000(26/25)N
(26/25)^2 = (26/25)N => N = 2
At the end of two ... | 72,152 |
<|im_start|>user
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.1 per sq m?
Answer Choices: (A) 675 (B) 135 (C) 320 (D) 430 (E) 820<|im_end|>
<|im_start|>assistant
<think>
</think>
Area = (l + b +2d) 2d... | 67,715 |
<|im_start|>user
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Answer Choices: (A) 17 kmph (B) 24 kmph (C) 16 kmph (D) 19 kmph (E) 11 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance from A and B be 'd'
Average Spee... | 57,231 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Answer Choices: (A) 20/8 sec (B) 22/7 sec (C) 20/7 sec (D) 20/2 sec (E) 30/7 sec<|im_end|>
<|im_start|>assistant
<think... | 76,033 |
<|im_start|>user
Let C be defined as the sum of all prime numbers between 0 and 38. What is C/3
Answer Choices: (A) 155 (B) 76.6 (C) 61 (D) 47 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime numbers between 0 and 30 - 2 , 3 , 5 , 7, 11 , 13 , 17 , 19 , 23 , 29, 31, 33, 37
Sum,C = 230
C/3 = 76.6
The answ... | 60,856 |
<|im_start|>user
A dice has one of the first 7 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 12 times and the results added.the addition is most likely to be closet to
Answer Choices: (A) 41 (B) 48 (C) 60 (D) 99 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 6,691 |
<|im_start|>user
The perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters. What is the length of the yard if the area of the yard is 9 meters squared?
Answer Choices: (A) 8 (B) 1 (C) 3 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of rectangular yard = 2... | 16,790 |
<|im_start|>user
Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ?
Answer Choices: (A) Rs.30029 (B) Rs.30120 (C) Rs.30000 (D) Rs.31209 (E) Rs.30121<|im_end|>... | 84,013 |
<|im_start|>user
In final exam of class IX there are 50 students 10 % students failed. How many students passed to class X?
Answer Choices: (A) 33 (B) 378 (C) 37 (D) 39 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentage of students passed to class X = 100 % - 10 % = 90 %
90 % of 50
= 90/100 × 50
= 450... | 18,044 |
<|im_start|>user
What is the difference between the place value of 2 in the numeral 7669?
Answer Choices: (A) 160 (B) 165 (C) 180 (D) 190 (E) 540<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option 'E'
600 - 60 = 540
The answer is E<|endoftext|> | 21,065 |
<|im_start|>user
In a store, the profit is 320% of the cost. If the cost increases by 25% but the SP remainsconstant, approximately what %of the sp is the profit?
Answer Choices: (A) 30% (B) 70% (C) 80% (D) 90% (E) 100%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. ... | 93,584 |
<|im_start|>user
6/7 of a certain number is 96. Find quarter of that number.
Answer Choices: (A) 28 (B) 29 (C) 26 (D) 281 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
6/7x = 96
x = 112
y = x/4 = 112/4 = 28
The answer is A<|endoftext|> | 48,861 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 27 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 71,821 |
<|im_start|>user
1!+2!+3!+4!+5!+..100! is divided by 24. Find the remainder?
Answer Choices: (A) 5 (B) 8 (C) 9 (D) 11 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
By applying rule 2, we divide the terms of the above expression individually, and add them to get the final remainder. But from 4! onwards all t... | 52,553 |
<|im_start|>user
Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?
Answer Choices: (A) 11 1/3 (B) 12 1/4 (C) 13 1/5 (D) 14 2/7 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</... | 43,937 |
<|im_start|>user
$500 will become $1000 in 2 years find the rate of interest?
Answer Choices: (A) A) 10% (B) B) 20% (C) C) 25% (D) D) 30% (E) E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
SI = simple interest = A-P = 1000-500 = $500
R = 100SI/PT = 100*500/500*2 =50%
The answer is E<|endoftext|> | 68,914 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Answer Choices: (A) 1/26 (B) 1/25 (C) 1/87 (D) 1/17 (E) 1/12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let E1 be the event of drawing a red ... | 76,058 |
<|im_start|>user
A father is now three times as old as his son. Seven years back, he was four times as old as his son. The age of the son (in years) is
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 20 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
If father's age is F and son's age is S, then
F=3S
and
F-7 = 4*(S-... | 58,582 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 3,846 |
<|im_start|>user
Who is to the immediate right of E?
Answer Choices: (A) 221 (B) II only (C) I and II (D) I and III (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 35,985 |
<|im_start|>user
A man can row 8 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Answer Choices: (A) 5.75 (B) 5.7 (C) 5.76 (D) 5.74 (E) 6.8<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 8
S = 3
DS = 11
US... | 8,898 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
By 1860, there were almost four million enslaved African American people in the United States. What is an enslaved person?
Answer Choices: (A) a person who works for someone else for 4 to 7 years (B) a person who... | 1,169 |
<|im_start|>user
If
GOOD is coded 164,
BAD is coded 21,
UGLY is coded 260,
then JUMP is coded as ?
Answer Choices: (A) 230 (B) 240 (C) 250 (D) 260 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
a=1 , b=2 , c=3 ,....................y=25 , z=26
JUMP = 10+21+13+16 = 60
JUMP is a word of Four letters so multipl... | 79,237 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 2,487 |
<|im_start|>user
The visceral senses are most often below the limit of conscious perception because they are involved in this?
Answer choice: (A) subtle regulation (B) sensory balance (C) homeostatic regulation (D) homeostatic manipulation<|im_end|>
<|im_start|>assistant
<think>
</think>
the conscious perception of t... | 7,719 |
<|im_start|>user
How many positive 5-digit integers have the odd sum R of their digits?
Answer Choices: (A) 9*10^2 (B) 9*10^3 (C) 10^4 (D) 45*10^3 (E) 9*10^4<|im_end|>
<|im_start|>assistant
<think>
</think>
We are looking at numbers between 10000 and 99999 both inclusive.
There are 90000 numbers.
Now for
10000 : sum ... | 1,499 |
<|im_start|>user
Addison High School’s senior class has 300 boys and 240 girls. If 60% of the boys attended the college then 60% of the total class attended college, what percentage of the girls class attended college?
Answer Choices: (A) 60 (B) 50 (C) 46 (D) 55.56 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</thin... | 80,285 |
<|im_start|>user
By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Answer Choices: (A) 20 (B) 99 (C) 88 (D) 77 (E) 61<|im_end|>
<|im_start|... | 73,809 |
<|im_start|>user
What can radioactive strontium replace in the human body making it dangerous?
Answer choice: (A) potassium (B) oxygen (C) calcium (D) magnesium<|im_end|>
<|im_start|>assistant
<think>
</think>
Radioactive strontium is dangerous because it can chemically replace calcium in the human body. The bones ar... | 9,700 |
<|im_start|>user
A man in a train travelling at 25km/hr notices that a train going in the opposite direction passes him in 7 sec.If the length of this train is 180m find its speed .
Answer Choices: (A) 30 km/hr (B) 40 km/hr (C) 50 km/hr (D) 68 km/hr (E) 70 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
relati... | 71,659 |
<|im_start|>user
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 24 metre of cloth ?
Answer Choices: (A) 175 seconds (B) 195 seconds (C) 155 seconds (D) 188 seconds (E) 115 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
Explana... | 63,752 |
<|im_start|>user
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Answer Choices: (A) 33 days (B) 27 days (C) 24 days (D) 18 days (E) 17 days<|im_end|>
<|im_start|>assistant
<think>
</think>
2c = 1/4 + 1/6 – 1/3 = 1/12
c = 1/24 => 24 days
The answer is C<|... | 57,614 |
<|im_start|>user
How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5?
Answer Choices: (A) 18 (B) 20 (C) 25 (D) 28 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
... | 4,515 |
<|im_start|>user
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If y is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Answer Choices: (A) 0<y<4 (B) 4<y<10 (C) 10<y<20 (D) 20<y<30 (E) y>30<|im_end|>
<|im_start|>assistant
<thi... | 91,955 |
<|im_start|>user
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches?
Answer Choices: (A) 50% (B) 87% (C) 100% (D) 187% (E) 200%<|im_end|>
<|im_start|>ass... | 20,097 |
<|im_start|>user
Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Answer Choices: (A) 20% (B) 42%... | 11,558 |
<|im_start|>user
Last year, Bill's farm produced 768,000 oranges. If Bill distributed his apples evenly across 9 different retail shops, how many apples remained with him.
Answer Choices: (A) 1 orange (B) 2 oranges (C) 3 oranges (D) 4 oranges (E) 5 oranges<|im_end|>
<|im_start|>assistant
<think>
</think>
This is equi... | 14,878 |
<|im_start|>user
How many distinct four-digit numbers can be formed by the digits {1, 2, 3, 4, 5, 5, 6, 6}?
Answer Choices: (A) 280 (B) 360 (C) 486 (D) 560 (E) 606<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 1: each group of 4 different digits will produce 4!=24 four-digit numbers
- Option 2: each group o... | 36,058 |
<|im_start|>user
A book is bought for $60 and sold for $78. What is the profit in percentage?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
78/60 = 1.3
The answer is C<|endoftext|> | 73,208 |
<|im_start|>user
Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?
Answer Choices: (A) 35.5mph (B) 37.5mph (C) 38.5mph (D) 39.5mph (E) 36.5mph<|im_end|>
<|im_start|>assistant
<think>
</think>
3 hours of his journey... | 67,537 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
The protean nature of the diseas... | 1,557 |
<|im_start|>user
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Answer Choices: (A) Rs. 650 (B) Rs. 690 (C) Rs. 698 (D) Rs. 700 (E) Rs. 712<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3... | 22,119 |
<|im_start|>user
Hurricanes and winter storms both develop from what, which often form when the jet stream dips south in the winter?
Answer choice: (A) tides (B) waves (C) cyclones (D) typhoons<|im_end|>
<|im_start|>assistant
<think>
</think>
Like hurricanes, winter storms develop from cyclones. But in the case of wi... | 1,562 |
<|im_start|>user
What do anglerfish use their glow-in-the-dark, rod-like structure for?
Answer choice: (A) to find a mate (B) to attract prey (C) for protection (D) to keep warm<|im_end|>
<|im_start|>assistant
<think>
</think>
Anglerfish. This anglerfish lives between 1000 and 4000 meters below sea level. No sunlight... | 4,333 |
<|im_start|>user
If the magician is not using a trick deck of cards, what is the possibility that he will draw a Jack or Diamond from a very well-shuffled deck of cards?
Answer Choices: (A) 1 in 13 (B) 4 in 13 (C) 1 in 4 (D) 4 in 52 (E) 4 in 12<|im_end|>
<|im_start|>assistant
<think>
</think>
This problem uses the pr... | 37,515 |
<|im_start|>user
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 8 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amoun... | 83,038 |
<|im_start|>user
What is the principal sum?
I.The sum amounts to Rs. 690 in 3 years at S.I.
II.The sum amounts to Rs. 750 in 5 years at S.I.
III.The rate of interest is 5% p.a.
Answer Choices: (A) I and III only (B) II and III only (C) I and II only (D) I and III only, or II and III only (E) Any two of the three<|im_en... | 13,413 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 30 sec respectively. What is the speed of the train?
Answer Choices: (A) 89 (B) 23 (C) 56 (D) 43.2 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = ... | 46,763 |
<|im_start|>user
If we have 10 people in a meeting, in how many ways they can sit around a table?
Answer Choices: (A) 10*9! (B) 9*8! (C) 8*7! (D) 7*6! (E) 6*5!<|im_end|>
<|im_start|>assistant
<think>
</think>
If there arenpeople sitting around a table, there are(n-1)!possible arrangements:
Here, n=10
(n-1)!=9!=9*8!
T... | 31,521 |
<|im_start|>user
If the annual increase in the population of a town is 10% and the present number of people is 12000, what will the population be in 2 years?
Answer Choices: (A) 12100 (B) 15240 (C) 12456 (D) 11452 (E) 14520<|im_end|>
<|im_start|>assistant
<think>
</think>
The required population is = 12000 (1 + 10/10... | 51,789 |
<|im_start|>user
Water seeping into the ground is known as?
Answer choice: (A) invasion (B) infiltration (C) accumulation (D) precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Infiltration is the process by which water soaks into the ground. Some of the water may seep deep underground. Some may stay in t... | 2,492 |
<|im_start|>user
If 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it?
Answer Choices: (A) 2/16 (B) 1/16 (C) 3/24 (D) 5/16 (E) 6/26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2 men reap 1/8 field in 1 day
1 man reap 1/(2 x 8)
3 women reap 1/8 field in 1 day... | 22,857 |
<|im_start|>user
there is four light.all light glow in blue,white,yellow and red.
all glow together and take different color.every time each light change its color in given four of the color.but at same time no two light have same color then tell how many design will form?
Answer Choices: (A) 20 (B) 24 (C) 18 (D) 16 (E... | 68,333 |
<|im_start|>user
if the list price of a book is reduced by Rs.5,then a person can buy 5 more books for Rs.300. The original cost of the book is
Answer Choices: (A) Rs.15 (B) Rs.20 (C) Rs.25 (D) Rs.30 (E) Rs.35<|im_end|>
<|im_start|>assistant
<think>
</think>
300/(x-5)-300/x=5
x=20
The answer is B<|endoftext|> | 43,535 |
<|im_start|>user
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/6 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year... | 10,041 |
<|im_start|>user
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 60 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only p... | 28,308 |
<|im_start|>user
If a certain sample of data has a mean of 20.0 and a standard deviation of 2.0, which of the following values is more than 2.5 standard deviations from the mean?
Answer Choices: (A) 13.5 (B) 12.0 (C) 17.0 (D) 23.5 (E) 26.5<|im_end|>
<|im_start|>assistant
<think>
</think>
The standard deviation i... | 14,266 |
<|im_start|>user
If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^2+b is an even number. 2. ab is even number 3. (a + b) is always an odd number.
Answer Choices: (A) II only (B) III only (C) I,II only (D) I only (E) I,III only<|im_end|>
<|im_start|>assistant
<think>
</t... | 84,878 |
<|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... | 4,655 |
<|im_start|>user
In a village of 100 households, 75 have at least one DVD player, 80 have at least one cell phone, and 55 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y
Answer Choices: (A) 55 (B) 45 (C) 65 (D) 3... | 47,675 |
<|im_start|>user
The edge of a cube is 3a cm. Find its surface?
Answer Choices: (A) 24a8 (B) 24a4 (C) 24a1 (D) 54a2 (E) 24a7<|im_end|>
<|im_start|>assistant
<think>
</think>
6a2 = 6 * 3a * 3a = 54a2
The answer is D<|endoftext|> | 66,660 |
<|im_start|>user
Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Answer Choices: (A) 1 (B) 4 (C) 9 (D) 13 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Solv... | 66,834 |
<|im_start|>user
A room is a square of side 50 feet. A second room is of area
100 square yards. A third room is of area 200 square feet.
Which of these can seat maximum people? (Hint:1 yard=3
feet)
Answer Choices: (A) 200 sq feet (B) 300 sq feet (C) 400 sq feet (D) 500 sq feet (E) 600 sq feet<|im_end|>
<|im_start|>assi... | 56,818 |
<|im_start|>user
A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 456. What is the sum of the last 8 of the even integers?
Answer Choices: (A) 580 (B) 584 (C) 588 (D) 592 (E) 596<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum o... | 5,148 |
<|im_start|>user
A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person reaches into the bag and picks out only purple jellybeans, how many jellybeans would the person have to pick out in order to double the probability that a jelly... | 26,039 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 4,160 |
<|im_start|>user
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 6)%. In terms of x, how many species of bacteria will the group be able to model?
Answer Choice... | 61,103 |
<|im_start|>user
Plants are described by what term, meaning their cells have a nucleus and membrane-bound organelles?
Answer choice: (A) complex (B) prokaryotic (C) eukaryotic (D) walled<|im_end|>
<|im_start|>assistant
<think>
</think>
Plants are multicellular and eukaryotic, meaning their cells have a nucleus and me... | 6,566 |
<|im_start|>user
How long does a train 130 m long running at the speed of 65 km/hr takes to cross a bridge 150 m length?
Answer Choices: (A) 15.7 sec (B) 15.1 sec (C) 15.5 sec (D) 17.1 sec (E) 16.7 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 65 * 5/18
= 18.1 m/sec
Total distance covered
= 130 + 150 =... | 16,877 |
<|im_start|>user
From the pharynx, air next passes through what structure, also known as the voice box because it contains vocal cords?
Answer choice: (A) diaphram (B) trachea (C) pancreas (D) larynx<|im_end|>
<|im_start|>assistant
<think>
</think>
From the pharynx, air next passes through the larynx , or voice box. ... | 1,753 |
<|im_start|>user
If P is a prime number greater than 5, what is the remainder when P^2 is divided by 6.
Answer Choices: (A) 4 (B) Cannot be determined (C) 2 (D) 6 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
take square of any prime number
remainder will be 1
The answer is E<|endoftext|> | 91,680 |
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