text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
9 friends bought a building together for 1 million dollars. If the each person in the entire group has to pay the same amount and none of them have bills smaller than $1, how much money would they each have to pay?
Answer Choices: (A) $1,000,000 (B) $1,000,001 (C) $1,000,004 (D) $1,000,007 (E) $1,000,0... | 67,577 |
<|im_start|>user
A group of 7 teenagers recently visited the Japanese Restaurant. The total bill for the meal, including 20% gratuity, came to $840. On average, how much did the meal of each individual cost before gratuity?
Answer Choices: (A) $160 (B) $96 (C) $90 (D) $10 (E) $55<|im_end|>
<|im_start|>assistant
<think>... | 73,806 |
<|im_start|>user
A person takes 5 hrs 45 min in walking to a place and riding back. He would have gained 1 hour by riding both ways. The time he would take to walk both ways is?
Answer Choices: (A) 5 hours 45 min (B) 5 hours 55 min (C) 6 hours 45 min (D) 7 hours 45 min (E) 8 hours<|im_end|>
<|im_start|>assistant
<think... | 69,229 |
<|im_start|>user
(1/2) of a number is 3 more than the (1/6) of the same number?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
let number is=x;
by question-------
x/2=(x/6)+3
x/2-x/6=3
x=9
The answer is D<|endoftext|> | 91,032 |
<|im_start|>user
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 52,000 after completion of one year. What will be Madhu's share of profit?
Answer Choices: (A) Rs. 27,000 (B) Rs. 26,000 (C) Rs. 30,000 (D) Rs. 36,000 (E) None of these<|im_end|... | 45,831 |
<|im_start|>user
Two persons Raj and Ramu started working for a company in similar jobs on January 1, 1991. Raj's initial monthly salary was Rs 400, which increases by Rs 40 after every year. Ramu's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till De... | 33,915 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Scientists sort animals with similar traits into groups. This is called classification. Classification helps scientists learn about how animals live.
How do scientists classify animals? First, they make observations about an... | 2,951 |
<|im_start|>user
Find the smallest number that must be added to 1780 to make it a perfect square.
Answer Choices: (A) 17 (B) 42 (C) 69 (D) 47 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
4 1780 (42
16
82 180
164
16
Number to be added = (43)2 - 1780 = 1849 - 1780 = 69.
The answer is C<|endoftext|> | 86,512 |
<|im_start|>user
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Answer Choices: (A) 2318 (B) 2380 (C) 1277 (D) 2662 (E) 1321<|im_end|>
<|im_start|>as... | 41,256 |
<|im_start|>user
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Answer Choices: (A) 8925 (B) 8960 (C) 8970 (D) 8900 (E) 8990<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal= Rs. ( (100x4016.25)/(9x5)
=Rs. 401625/45
= Rs. 8925.
The answer is A<|en... | 53,172 |
<|im_start|>user
4 years ago, Paula was 4 times as old as Karl. In 12 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Answer Choices: (A) 36 (B) 40 (C) 44 (D) 48 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
P-4 = 4(K-4) and so P = 4K-12
P+12 = 2(K+12)
(4K-12)+12 = 2K+24
K = 12... | 29,916 |
<|im_start|>user
If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?
Answer Choices: (A) Rs. 36 (B) Rs. 60 (C) Rs. 108 (D) Rs. 120 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Whole work is done b... | 23,588 |
<|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... | 1,185 |
<|im_start|>user
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Answer Choices: (A) 17 (B) 10 (C) 23 (D) 27 (E) 72<|im_end|>
<|im_start|>assista... | 67,973 |
<|im_start|>user
A watch was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, than the profit would have been 10%. Find the cost price of the watch
Answer Choices: (A) 100 (B) 200 (C) 120 (D) 140 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
let the price of the w... | 42,795 |
<|im_start|>user
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is eleven years older than Ellen, how old is Aaron?
Answer Choices: (A) 1–5 (B) 3–5 (C) 11–15 (D) 16–20 (E) 21–25<|im_end|>
<|im_start|>assistant
<think>
</think>
Let David's present ag... | 30,173 |
<|im_start|>user
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 880. The number of hares in the zoo is?
Answer Choices: (A) 90 (B) 99 (C) 77 (D) 66 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
200*2 = 400
880
-----
480
1----2
?----480 = 240
T... | 78,130 |
<|im_start|>user
Find the lowest common multiple of 15, 25 and 35.
Answer Choices: (A) 360 (B) 420 (C) 510 (D) 525 (E) 280<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM=3*5*5*7=525.
The answer is D<|endoftext|> | 43,359 |
<|im_start|>user
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 7 women?
Answer Choices: (A) 7C4 7C5 (B) 4C7 5C7 (C) 7C5 9C4 (D) 9C4 7C5 (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
Group consisting of 7 men and 7 women
4 men can be selected from 7 me... | 96,073 |
<|im_start|>user
R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field?
Answer Choices: (A) 24hours (B) 5 hours (C) 10hours (D) 15hours (E) 20hours<|im_end|>
<|im_start|>assistant
<think>
</think>
f R and S together can do a piece of work in... | 96,458 |
<|im_start|>user
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
Answer Choices: (A) 5/7 (B) 12/35 (C) 2/47 (D) 8/9 (E) 7/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be a and b. Then, a + b = 12 and ab = 35
a+b/ab=12/3... | 23,262 |
<|im_start|>user
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Answer Choices: (A) 28 (B) 65 (C) 89 (D) 12 (E) 14<|im_end|>
<|im_s... | 66,208 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 5,693 |
<|im_start|>user
2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in meters.
Answer Choices: (A) 110 (B) 111 (C) 113 (D) 112 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the wire be h meters. Then,
∏ (0.50/(2 x 100))^2 x h... | 81,337 |
<|im_start|>user
A person has to cover a distance of 10km in 1hour. If he covers one half of the distance in half of the total time; to cover the remaining distance in the remaining time, his speed must be?
Answer Choices: (A) 5km/hr (B) 8km/hr (C) 10km/hr (D) 12km/hr (E) 15km/hr<|im_end|>
<|im_start|>assistant
<think>... | 66,221 |
<|im_start|>user
What substances in a car battery can be melted and recycled?
Answer choice: (A) lead and steel (B) lead and sodium (C) lead and plastic (D) steel and sodium<|im_end|>
<|im_start|>assistant
<think>
</think>
Lead is still widely used in car batteries. In recent years, battery recycling is becoming very... | 8,259 |
<|im_start|>user
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Answer Choices: (A) 10 (B) 9 (C) 11 (D) 10.4 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
He... | 18,209 |
<|im_start|>user
A salt manufacturing company produced a total of 2000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Answer Choices: (A) 80 (... | 63,009 |
<|im_start|>user
Aluminosilicates are formed by replacing some of the si atoms in silicates by which atoms?
Answer choice: (A) al (B) fe (C) ce (D) ad<|im_end|>
<|im_start|>assistant
<think>
</think>
character increases. Silicates contain anions that consist of only silicon and oxygen. Aluminosilicates are formed by ... | 3,715 |
<|im_start|>user
Set A is {1, 3, 5, 7, 9}
Set B is {16, 18, 20, 22, 24}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard de... | 52,950 |
<|im_start|>user
Griffin has a bag of marbles that contains 7 black marbles and 5 red marbles. If he removes 3 marbles at random without replacing any of the marbles, what is the probability that all 3 marbles selected will be black?
Answer Choices: (A) 4/15 (B) 5/22 (C) 6/35 (D) 7/44 (E) 8/55<|im_end|>
<|im_start|>ass... | 1,351 |
<|im_start|>user
If 3s + 1 < 2s < 9 - s, which of the following must be true?
I. -1 < s < 3
II. s < -1
III. s < 3
Answer Choices: (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Just try plugging s in a number like 0 or 1, and you'... | 95,405 |
<|im_start|>user
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 3025., the number of the member is the group is:
Answer Choices: (A) 55 (B) 67 (C) 77 (D) 87 (E) 97<|im_end|>
<|im_start|>assistant
<think>
</think>
Money... | 41,608 |
<|im_start|>user
There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Answer Choices: (A) 31 (B) 32 (C) 35 (D) 30 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF (408, 312) = 24
T... | 8,180 |
<|im_start|>user
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two... | 4,836 |
<|im_start|>user
Which of the following is between 1/9 and 5/21?
Answer Choices: (A) 2/13 (B) 3/8 (C) 1/2 (D) 5/8 (E) 7/9<|im_end|>
<|im_start|>assistant
<think>
</think>
I see this as a POE (Process of Elimination) and Ballparking (Estimation) question. Not sure if this is the most efficient, but it worked:
1) I est... | 12,355 |
<|im_start|>user
The value of 99^(93/99) x 99 is:
Answer Choices: (A) 9989 (B) 9896 (C) 9894 (D) 9809 (E) 9810<|im_end|>
<|im_start|>assistant
<think>
</think>
(100 – 6/99) x 99 = 9900 – 6
= 9894.
The answer is C<|endoftext|> | 43,612 |
<|im_start|>user
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Answer C... | 54,813 |
<|im_start|>user
For dinner at a restaurant, there are x + 1 choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Answer Choices: (A) x + y + z + 1 (B) xyz + xz (C) xyz+xz+yz+z (D) xyz + 1 (E... | 39,438 |
<|im_start|>user
How many two letter words are formed using the letters of the word MICKY?
Answer Choices: (A) 28 (B) 21 (C) 26 (D) 20 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters i... | 45,368 |
<|im_start|>user
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is T:
Answer Choices: (A) T=1 (B) T=2 (C) T=3 (D) T=4 (E) T=5<|im_end|>
<|im_start|>assistant
<think>
</think>
10p/96 should resolve to a integer => 5p/48 should resolve to an integer.
He... | 38,112 |
<|im_start|>user
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Answer Choices: (A) 400 (B) 500 (C) 800 (D) 900 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</thi... | 35,050 |
<|im_start|>user
Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?
Answer Choices: (A) 223 (B) 301 (C) 377 (... | 65,251 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull that acts on an object. Every force has a direction and a magnitude, or strength. If two forces act on an object in opposite directions, the forces are called opposing forces.
When opposing forces... | 4,002 |
<|im_start|>user
There is a 10% chance that Tigers will not win at all during the whole season. There is a 90% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season?
Answer Choices: (A) A) 55% (B) B) 60% (... | 96,904 |
<|im_start|>user
How many classes of biochemical compounds are there?
Answer choice: (A) four (B) one (C) five (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
Hemoglobin is a compound in the class of compounds called proteins. Proteins are one of four classes of biochemical compounds, which are compounds i... | 9,051 |
<|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... | 5,827 |
<|im_start|>user
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Answer Choices: (A) 71.11 km/hr (B) 66.11 km/hr (C) 78.11 km/hr (D) 81.11 km/hr (E) 54.11 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
A
71.11 km/hr
Total t... | 31,494 |
<|im_start|>user
In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 50 more than the correct answer. Find the number.
Answer Choices: (A) 96 (B) 280 (C) 384 (D) 400 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 4,677 |
<|im_start|>user
How many 11-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 12345654321.
Answer Choices: (A) 100 (B) 610 (C) 729 (D) 900 (E) 900000<|im_end|>
<|im_start|>assistant
<think>
</think>
Take the task of building palindromes and break it intostages.
... | 88,579 |
<|im_start|>user
Tim and Tom are workers in a department that has a total of 9 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Answer Choices: (A) 1/35 (B) 1/34 (C) 1/33 (D) 1/36... | 21,860 |
<|im_start|>user
A bag contains 3 red, 6 yellow and 8 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Answer Choices: (A) 2/7 (B) 3/5 (C) 3/11 (D) 18/85 (E) 7/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 3+6+8 = 1... | 71,471 |
<|im_start|>user
How many terms are there in 2, 4, 8, 16,..., 2048?
Answer Choices: (A) 14 (B) 11 (C) 12 (D) 10 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
2, 4, 8, 16, ...,2048 is a G.P with a =2
and r =4/2 =2
Let the number of terms be n. Then
2 x 2 ^n-1 = 2048
or 2^n-1 = 1024= 2^10
Thus n - 1 =10
n= 11
... | 88,915 |
<|im_start|>user
6 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
Answer Choices: (A) 11 (B) 12 (C) 25 (D) 36 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 9 candidates and a voter has to vote for any two of t... | 56,651 |
<|im_start|>user
2 men and 4 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 21 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
The list sho... | 85,391 |
<|im_start|>user
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.65 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) 325 (B) 375 (C) 278 (D) 267 (E) 288<|im_end|>
<|im_start|>assistant
<think>
</think>
CP1 = 100 SP1 = 120
CP2 = 80 SP... | 50,398 |
<|im_start|>user
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Answer Choices: (A) 55 (B) 58 (C) 64 (D) 65 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans.(C)
Sol. In this case, repetitions are allowed, so all ... | 22,775 |
<|im_start|>user
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Six years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Answer Choices: (A) Can't be determined (B) 48 (C) 27 (D) 24 (E) None of these<|im_end|>
<|im_start|>assistant
<think>... | 62,871 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Select the one true statement.
Answer Choices: (A) The Golgi directs cell activities by sending instructions to different parts of an animal cell. (B) The nucleus of an animal cell does not have chromosomes. (C) ... | 2,938 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Answer Choices: (A) 25 (B) 22 (C) 36 (D) 12 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each train... | 53,684 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 420 m and they cross each other in 24 sec, then the speed of each train is?
Answer Choices: (A) 63 (B) 89 (C) 36 (D) 34 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each train... | 86,718 |
<|im_start|>user
If a > 1, which of the following is equal to (2a + 4)/(a^2 + 2a - 3)?
Answer Choices: (A) 2(a+2) /(a+3) (a-1) (B) a + 3 (C) 2/(a - 1) (D) 2a/(a - 3) (E) (a - 1) /2<|im_end|>
<|im_start|>assistant
<think>
</think>
Here's the algebraic approach:
(2A + 4)/(A^2 + 2A - 3) can be rewritten as...
2(A + 2... | 24,215 |
<|im_start|>user
At an election 2 candidates are participated and a candidate got 45% of votes and defeated by 9000. and 83 votes are invalid. Find the total polled votes?
Answer Choices: (A) 84512 (B) 78452 (C) 65893 (D) 90083 (E) 74502<|im_end|>
<|im_start|>assistant
<think>
</think>
Winner votes = 100-45 = 55
poll... | 30,316 |
<|im_start|>user
When 24 is divided by the positive integer a, the remainder is 4. Which of the following statements about a must be true?
I. a is even
II. a is a multiple of 5
III. a is a factor of 20
Answer Choices: (A) III only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III<|im_end|>
<|i... | 52,518 |
<|im_start|>user
If the President and Vice President must sit next to each other in a row with 5 other members of the Board, how many different seating arrangements are possible?
Answer Choices: (A) 120 (B) 1440 (C) 300 (D) 360 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to take President and VP ... | 76,999 |
<|im_start|>user
how many internal diagonals does a hexagon (six sided polygon) have?
Answer Choices: (A) 5 (B) 6 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of diagonals in any polygon can be found using this formula: n(n-3)/2
Here n = 6
No. of diagonals = 6(6 - 3)/2
= 9
The answer is ... | 60,743 |
<|im_start|>user
if m>0 and b is m percent of a, then, in terms of m, a is what percent of b?
Answer Choices: (A) a) 100m (B) b) 1/100m (C) c) 1/m (D) d) 10/m (E) e) 10^4/m<|im_end|>
<|im_start|>assistant
<think>
</think>
Given (m*a)/100=b
to find (a/b)*100
Rearranging first equation
a/b*100 = 100*100/m
=10^4/m
The a... | 55,823 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 3,518 |
<|im_start|>user
If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ?
Answer Choices: (A) 32 (B) 76 (C) 29 (D) 27 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</thin... | 65,407 |
<|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.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 6,317 |
<|im_start|>user
The sale price sarees listed for Rs.500 after successive discount is 10% and 5% is?
Answer Choices: (A) 427.5 (B) 879 (C) 342 (D) 762 (E) 269<|im_end|>
<|im_start|>assistant
<think>
</think>
500*(90/100)*(95/100)
= 427.5
The answer is A<|endoftext|> | 15,942 |
<|im_start|>user
According to a recent student poll, 4/6 out of 24 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Answer Choices: (A) 1/14 (B) 4/49 (C) 2/7 (D) 62/6... | 9,574 |
<|im_start|>user
Which genetic disorder results in the inability of melanocytes to produce melanin?
Answer choice: (A) anemia (B) albinism (C) cancers (D) hyperthyroidism<|im_end|>
<|im_start|>assistant
<think>
</think>
Integumentary System The first thing a clinician sees is the skin, and so the examination of the s... | 1,707 |
<|im_start|>user
The cost per unit of electricity during a 4 year period is as follows: Year 1, $3 per unit; Year 2, $4 per unit; Year 3, $5 per unit; Year 4, $6 per unit. If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Answer Choic... | 69,717 |
<|im_start|>user
If (x-10)(x-3) < 0, which of the following must be true?
Answer Choices: (A) x^2 + 5x + 6 < 0 (B) x^2 + 5x + 6 > 0 (C) 5 - x < 0 (D) x - 5 < 0 (E) 10 - x > 0<|im_end|>
<|im_start|>assistant
<think>
</think>
(x-10)(x-3)<0 can be written as (10-x)(x-3)>0
So,to inequality hold true multiple of (10-x) an... | 42,912 |
<|im_start|>user
a, b are positive integers. The remainder of a to be divided by 5 is 4 and the remainder of b to be divided by 3 is 1
Which is possible to be the remainder of a*b to be divided by 24
Answer Choices: (A) a) 2 (B) b) 4 (C) c) 8 (D) d) 12 (E) e) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
T... | 27,592 |
<|im_start|>user
Among 100 people, 50% like strawberry jam, 40% like apple jam, and 30% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
Answer Choices: (A) 40% (B) 30% (C) 25... | 4,637 |
<|im_start|>user
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 68 years now, the son's age five years back was?
Answer Choices: (A) 16 years (B) 14 years (C) 18 years (D) 19 years (E) 29 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the s... | 78,737 |
<|im_start|>user
If 3^k - 3^(k-1) = 162 then k(k-1) =
Answer Choices: (A) 12 (B) 16 (C) 20 (D) 30 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
It seems like you were really close but you solved for k - 1 instead. I am curious - how did you reason through the question? Perhaps you figured the answer has to ... | 19,585 |
<|im_start|>user
If (x/y)=(6/5), find the value (x^2+y^2)/(x^2-y^2)
Answer Choices: (A) 61/11 (B) 51/11 (C) 41/11 (D) 21/11 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
= (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(6/5)^2+1] / [(6/5)^2-1]
= [(36/25)+1] / [(36/25)-1] = (61*25)/(25*11) ... | 53,036 |
<|im_start|>user
The side of a square is increased by 10% then how much % does its area increases?
Answer Choices: (A) 21 (B) 56.25 (C) 50.75 (D) 42.75 (E) 52.75<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 100 a2 = 10000
a = 110 a2 = 12100
----------------
10000 --------- 2100
100 -------? => 21 %
The answer... | 35,823 |
<|im_start|>user
A student has 8 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt?
Answer Choices: (A) 76 (B) 88 (C) 100 (D) 112 (E) 124<|im_end|>
<|im_start|>assistant
<think>
</think>
The student can select one trouser in 8 ways.
The student can select one shirt in 11 ... | 94,367 |
<|im_start|>user
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 11 a.m.?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 15<|im_end|>
... | 88,006 |
<|im_start|>user
Riya and Priya set on a journey. Riya moves eastward at a speed of 18kmph and Priya moves westward at a speed of 24 kmph.How far will be priya from Riya after 15 minutes
Answer Choices: (A) 25kms (B) 11kms (C) 50kms (D) 30kms (E) 40kms<|im_end|>
<|im_start|>assistant
<think>
</think>
total eastward d... | 67,509 |
<|im_start|>user
What is the median from the below series 90, 92, 93, 88, 95, 88, 97
Answer Choices: (A) 91.71 (B) 82 (C) 92 (D) 98 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Ordering the data from least to greatest, we get:
88, 88, 90, 92, 93, 95, 96
The median quiz score was 91.71 (Four quiz scores we... | 85,171 |
<|im_start|>user
What is the probability of getting sum 10 with the help of three dice?
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/6 (D) 1/8 (E) 1/10<|im_end|>
<|im_start|>assistant
<think>
</think>
the following has 6 permutations.
(1, 3, 6),(1, 4, 5),(2, 3, 5)
Each of the following has 3 permutations.
(2, 2, 6),(2, 4, 4... | 75,232 |
<|im_start|>user
9548 + 7314 = 6362 + (?)
Answer Choices: (A) 8300 (B) 8400 (C) 8500 (D) 8700 (E) 10000<|im_end|>
<|im_start|>assistant
<think>
</think>
9548 16862 = 6362 + x
+ 7314 x = 16862 - 6362
----- = 10500
16862
-----
E)
The answer is E<|endoftext|> | 5,471 |
<|im_start|>user
You and your friend spent a total of $15 for lunch. Your friend spent $1 more than you. How much did your friend spend on their lunch?
Answer Choices: (A) $9 (B) $8 (C) $4 (D) $6 (E) $5<|im_end|>
<|im_start|>assistant
<think>
</think>
My lunch = l, my friends lunch = l+1
(l)+(l+1)=15
l+l+1-1=15-1
2l=... | 53,712 |
<|im_start|>user
An electrical signal along a nerve cell triggers the secretion of what?
Answer choice: (A) conduction molecules (B) axons (C) attenuation molecules (D) neurotransmitter molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 3,185 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 2,581 |
<|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... | 601 |
<|im_start|>user
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Answer Choices: (A) 7 (B) 4 (C) 3 (D) 2 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 45
S = 1.5
... | 9,693 |
<|im_start|>user
A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Answer Choices: (A) 100 rs (B) 150 rs (C) 160 rs (D) 180 rs (E) 200 rs<|im_end|>
<|im_start|>assistant
<think>
</think>
Gain in ... | 22,266 |
<|im_start|>user
In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Answer Choices: (A) 1/4. (B) 4/17. (... | 24,731 |
<|im_start|>user
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Answer Choices: (A) 3944 (B) 2999 (C) 2666 (D) 2888 (E) 2123<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the side of the square plot be a ft.
a2... | 54,306 |
<|im_start|>user
Changes in the number of what can lead to disorders like down syndrome?
Answer choice: (A) chromosomes (B) prokaryotes (C) dna (D) genes<|im_end|>
<|im_start|>assistant
<think>
</think>
Changes in chromosome number can lead to disorders like Down syndrome.
The answer is A<|endoftext|> | 10,532 |
<|im_start|>user
For how many positive integers is the number of positive divisors equal to the number itself ?
Answer Choices: (A) none (B) one (C) two (D) three (E) cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
The factors of 1: {1}. 1 factor. WORKS!
The factors of 2: {1,2}, 2 factors. WORKS... | 25,212 |
<|im_start|>user
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 2,50,000 as total savings, how much has he saved in Public Provident Fund ?
Answer Choices: (A) Rs. 30,000 (B) Rs. 50,000 (C) Rs. 60,000 (D) Rs. 100,000 (E) None<|im_... | 76,088 |
<|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... | 4,347 |
<|im_start|>user
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 25 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Answer Choices: (A) ... | 26,401 |
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