text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
An excellent solvent that holds heat well and allows hydrogen bonds, what substance has many properties critical to life?
Answer choice: (A) liquid (B) blood (C) plasma (D) water<|im_end|>
<|im_start|>assistant
<think>
</think>
2.2 Water Water has many properties that are critical to maintaining life... | 3,439 |
<|im_start|>user
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 50. What is the value of x?
Answer Choices: (A) 50 (B) 100 (C) 200 (D) 140 (E) 2,000<|im_end|>
<|im_start|>assistant
<think>
</think>
y = 50% of 50% 0f x
= x/4
and
y/100 of x = 50
y /100 *4y =50
y = 3... | 21,294 |
<|im_start|>user
7 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>... | 84,643 |
<|im_start|>user
If x^3 < y^2 > z, which of the statements could be true?
I. x < y < z
II. x < z < y
III. y < x < z
Answer Choices: (A) I 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>
Given : x^3 < y^2 > z
I. x < y < z is true for x = 3, y =... | 55,831 |
<|im_start|>user
A man swims downstream 72 km and upstream 45 km taking 5 hours each time; what is the speed of the current?
Answer Choices: (A) 1.7 (B) 2.8 (C) 3.6 (D) 2.7 (E) 1.1<|im_end|>
<|im_start|>assistant
<think>
</think>
72 --- 5 DS = 14.4
? ---- 1
45 ---- 5 US = 9
? ---- 1 S = ?
S = (14.4 - 9)/2 = 2.7
The a... | 58,505 |
<|im_start|>user
1/2,16,4,15,3,56,_ ?
Answer Choices: (A) 28/3 (B) 27/3 (C) 26/3 (D) 25/3 (E) 24/3<|im_end|>
<|im_start|>assistant
<think>
</think>
take alternative no. 1/2, 4,3
16/4=4
15/5 = 3
56/6 =28/3
hence ans is 28/3
The answer is A<|endoftext|> | 30,847 |
<|im_start|>user
The mass percentage of a solution component is defined as the ratio of the component’s mass to ________?
Answer choice: (A) enough ’ s mass (B) solution ’ s mass (C) solvent's mass (D) liquid's mass<|im_end|>
<|im_start|>assistant
<think>
</think>
Mass Percentage Earlier in this chapter, we introduce... | 6,796 |
<|im_start|>user
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 9 minutes less than they can row it in still water. How long would they take to row down with the stream
Answer Choices: (A) 45 or 23 minutes (B) 63 or 12 minutes (C) 60 minutes (D) 19 minutes (E) 2... | 21,705 |
<|im_start|>user
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 13 percent, what was the annual interest rate last year?
Answer Choices: (A) 1% (B) 1.1% (C) 9.1% (D) 11.81% (E) 11.50%<|im_end|>
<|im... | 65,561 |
<|im_start|>user
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 85% of his regular spee... | 91,583 |
<|im_start|>user
When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Answer Choices: (A) 20 (B) 21 (C) 23 (D) 26 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
23
Option C
The answer is C<|endoftext|> | 31,289 |
<|im_start|>user
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Answer Choices: (A) 120 (B) 140 (C) 240 (D) 320 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 30,563 |
<|im_start|>user
If f(x) = 6x^4 - 4x^3 - 3x^2 + 6x , then f(-1) =
Answer Choices: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
f(-1) = 6(-1)^4 - 4(-1)^3 - 3(-1)^2 + 6(-1) = 6+4-3-6 = 1
The answer is D<|endoftext|> | 88,358 |
<|im_start|>user
The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Answer Choices: (A) P(1 - 0.03x + 0.... | 5,902 |
<|im_start|>user
In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 55 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sale... | 64,228 |
<|im_start|>user
Positive integer p has n factors; 3p has 3 factors; Which of the following values can n take?
I. 1
II. 2
III. 3
Answer Choices: (A) I or II (B) II or III (C) only I is true (D) only II is true (E) I or III<|im_end|>
<|im_start|>assistant
<think>
</think>
Squares have odd number of factors.The square ... | 38,110 |
<|im_start|>user
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Answer Choices: (A) Rs. 16537.52 (B) Rs. 16137.11 (C) Rs. 16537.50 (D) Rs. 16237.52 (E) Rs. 16537.11<|im_end|>
<|im_start|>assistant
<think>
<... | 13,515 |
<|im_start|>user
The dimensions of each book in an encyclopedia set measures 8 in x 4 in x 12 in. (l x w x h). Each shelf (i.e. each divider) has a surface area of 848 sq in., where the thickness is 1 in and the width is 16 in. Assuming there is enough space in between shelves, how many shelves are needed to fit all of... | 91,127 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 1,133 |
<|im_start|>user
How many positive integers H between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Answer Choices: (A) 3 (B) 16 (C) 75 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
1) I figured there are 101 integers (300 - 200 + 1 = 101). Since the set begins with an even and ends wi... | 74,132 |
<|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 from biological parents to their offspring through genes. Gen... | 4,507 |
<|im_start|>user
Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true
Answer Choices: (A) y = 1.2 × 10^a, where a is a positive integer. (B) y = 1.5 × 10^b, where ... | 3,097 |
<|im_start|>user
If $1000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Answer Choices: (A) 1000 (1.056) (3) (B) 1000 (3+1.056) (C) 1000 (1+3(0.056) ) (D) 1000 (1+(0.056) ^3) (E) 1000 (1.056) ^3<|im_end|>
<|i... | 49,318 |
<|im_start|>user
The average weight of 10 boys increases by 3.5 kg when a new boy comes in place of one of them weighing 50 kg. What might be the weight of the new boy?
Answer Choices: (A) 85 kg (B) 80 kg (C) 75 kg (D) 72 kg (E) 65 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = 10 x 3.5 ... | 91,758 |
<|im_start|>user
6 letters have to be put into their 6 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Answer Choices: (A) 1/720 (B) 1/60 (C) 1/120 (D) 1/240 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
<... | 63,271 |
<|im_start|>user
When the positive integer y is divided by 9, the remainder is 5. What is the remainder when 3y is divided by 9?
Answer Choices: (A) 0 (B) 1 (C) 3 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets take the number as y
when y is divided by 9 the remainder is 5 hence y can be written as
... | 26,178 |
<|im_start|>user
In store A there are 10 pairs of pants for every 100 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earne... | 71,358 |
<|im_start|>user
A number is increased by 40 % and then decreased by 40 %. Find the net increase or decrease per cent.
Answer Choices: (A) 19% (B) 18% (C) 17% (D) 13% (E) 16%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be 100.
Increase in the number = 40 % = 40 % of 100
= (40/100 × 100)
= 40
There... | 18,401 |
<|im_start|>user
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a diamond card. If any of these task are successful, then you win the game. What is ... | 35,445 |
<|im_start|>user
A train 220 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) 4 (B) 6 (C) 5 (D) 12 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative t... | 66,160 |
<|im_start|>user
If y = 30p, and p is prime, what is the greatest common factor of y and 18p, in terms of p?
Answer Choices: (A) p (B) 2p (C) 5p (D) 6p (E) p^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Y=30p
other number is 18p
then GCF(30p,18P)=6P; D is the
The answer is D<|endoftext|> | 28,857 |
<|im_start|>user
complete the numerical series with the correct number
5+3+2=151022
9+2+4=183652
8+6+3=482466
5+4+5=202541
9+5+5= ?
Answer Choices: (A) 468645 (B) 454586 (C) 454585 (D) 454386 (E) 444586<|im_end|>
<|im_start|>assistant
<think>
</think>
Correct Answer : C
number is formed as
5+3+2
5*3 3*2 2*5 = 151022
... | 96,411 |
<|im_start|>user
A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $1750 had it been put at the rate of interest compounded annually?
Answer Choices: (A) 4.5 (B) 3.5 (C) 3 (D) 2 (E) 1.5<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 8,318 |
<|im_start|>user
The positive numbers w, x, y, and z are such that x is 40 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Answer Choices: (A) 15.2% (B) 16.0% (C) 20.0% (D) 23.2% (E) 24.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
My s... | 17,352 |
<|im_start|>user
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Answer Choices: (A) 1056787 (B) 1076658 (C) 1079767 (D) 1079977 (E) 1083875<|im... | 66,428 |
<|im_start|>user
If 15 lions can kill 15 deers in 15 minutes how long will it take 100 lions to kill 100 deers?
Answer Choices: (A) 1 minutes (B) 15 minute (C) 100 minutes (D) 10000 minutes (E) 1000 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
we can try the logic of time and work,our work is to kill the ... | 46,983 |
<|im_start|>user
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?
Answer Choices: (A) 11 (B) 15 3/4 (C) 22 (D) 23 (E) 25 3/10<|im_end|>
<|im_start|>assistant
<think>
</think>
K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 30
11K = 30 * 4 +1 = 120 ... | 49,626 |
<|im_start|>user
How many odd, positive divisors does 440 have?
Answer Choices: (A) 3 (B) 8 (C) 12 (D) 15 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=3 fact... | 49,516 |
<|im_start|>user
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability W that this product will be a multiple of 45?
Answer Choices: (A) 1/32 (B) 1/28 (C) 1/24 (D) 1/16 (E) 1/14<|im_end|>
<|im_start|>assistant
<think>
</think>... | 87,698 |
<|im_start|>user
What organ is subdivided into ascending, descending, transverse and sigmoid parts?
Answer choice: (A) heart (B) colon (C) uterus (D) lungs<|im_end|>
<|im_start|>assistant
<think>
</think>
Colon The cecum blends seamlessly with the colon. Upon entering the colon, the food residue first travels up the ... | 179 |
<|im_start|>user
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 72 kilometers, Maxwell's walking speed is 6 km/h, and Brad's running speed is 12 km/h. What is the distance traveled by Maxwell when t... | 55,438 |
<|im_start|>user
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction T of the cookies that were placed in the other tins were placed in t... | 30,711 |
<|im_start|>user
If a is an integer larger than 1, and x=60a, then x must be a multiple of which of the following?
Answer Choices: (A) 8 (B) 9 (C) 12 (D) 18 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
X must be divisible by 60 .
a , an integer less than 1 means a could be 0,-1,-2,....... and x = 60a
so i... | 80,005 |
<|im_start|>user
If Tim had lunch at $60.50 and he gave 20% tip, how much did he spend?
Answer Choices: (A) A) $57.45 (B) B) $35.42 (C) C) $60.60 (D) D) $21.56 (E) E) $72.60<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is 20% of what he paid for lunch.
tip = 20% of 60.50 = (20/100)*60.50 = $12.10
Total sp... | 47,902 |
<|im_start|>user
In most animals, what sense is related to balance or equilibrium?
Answer choice: (A) vision (B) tasting (C) feeling (D) hearing<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 208 |
<|im_start|>user
If it takes two teams of factory workers 6 days to complete a task. How many days will it take each team working separately, to complete the same task if it will take one of the teams 3 days earlier to complete the task.
Answer Choices: (A) 10 and 15 (B) 5 and 8 (C) 4 and 7 (D) 9 and 12 (E) 3 and 6<|im... | 70,497 |
<|im_start|>user
Distance between A and B is 48 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 3 mph. While walking, the other man travels uniformly at 4 mph, but takes a 30-minute rest every other hour. When will they... | 84,148 |
<|im_start|>user
At a party, there were five times as many girls as boys and three times as many adults as children. Which of the following could NOT be the number of people at the party?
Answer Choices: (A) 258 (B) 259 (C) 216 (D) 120 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Five times as many girls a... | 77,279 |
<|im_start|>user
80 percent of the members of a study group are women, and 40 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
Answer Choices: (A) 0.45 (B) 0.55 (C) 0.65 (D) 0.32 (E) 0.35<|im_end|>
<|im_... | 60,749 |
<|im_start|>user
Of the 720 students at a certain university, 25 percent are seniors. If x seniors were to graduate early and leave the university and no additional students entered or left the university, what value of x would reduce the number of seniors at the university to 20 percent?
Answer Choices: (A) 30 (B) 36 ... | 51,441 |
<|im_start|>user
A dishonest dealer uses a scale of 97 cm instead of a metre scale and claims to sell at cost price. His profit is
Answer Choices: (A) 9% (B) 10% (C) 12% (D) 3.1% (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Gain% = (3 / 97 x 100)%
= 3.1%
The answer is D<|endoftex... | 94,741 |
<|im_start|>user
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Answer Choices: (A) 6 years (B) 9 years (C) 9 years (D) 4 years (E)... | 57,340 |
<|im_start|>user
What does temperature measure?
Answer choice: (A) lowest kinetic energy of molecules (B) average potential energy of molecules (C) highest potential energy of molecules (D) average kinetic energy of molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
In this lesson, you read that air density a... | 5,871 |
<|im_start|>user
The sale price of an article including the sales tax is $ 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Answer Choices: (A) $700 (B) $800 (C) $500 (D) $300 (E) $400<|im_end|>
<|im_start|>assistant
<think>
</think>
C
$500
110% of ... | 53,038 |
<|im_start|>user
A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 4 KMPH, Find the speed of the boat in still water
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple question, messy lang... | 9,097 |
<|im_start|>user
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Answer Choices: (A) 1276 (B) 1200 (C) 2832 (D) 1800 (E) 1236<|im_end|>
<|im_start|>ass... | 87,317 |
<|im_start|>user
The 480 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Answer Choices: (A) 4 (B) 20 (C) 30 (D) 40 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Obviously the number of rows ... | 5,386 |
<|im_start|>user
If one-third of one-fourth of a number is 25, then three-tenth of that number is:
A. 35
Answer Choices: (A) 23 (B) 90 (C) 26 (D) 54 (E) 01<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The number is 1/3 of 1/4 is =15 then 1/3 × 1/4 = 25
Number is 300 then 300 × 3/10 = 90
The answer ... | 4,319 |
<|im_start|>user
The music class consists of 3 girls and 7 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Answer Choices: (A) 119 (B) 158 (C) 161 (D) 165 (E) 172<|im_end|>
<|im_start|>assistant
<think>
</think>
Reverse combinatorics approach is preferred method on this one
Note ... | 16,568 |
<|im_start|>user
An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Answer Choices: (A) 3/5 (B) 5/9 (C) 1/24 (D) 9/19 (E) 2/5<|im_end|>
<|im_start|>assistant
<thin... | 47,276 |
<|im_start|>user
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
Answer Choices: (A) 1 (B) 6 (C) 7 (D) 5 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
A's 1 day work = 1/10; B's 1 day work = 1/15
(A + B)'s 1 day work = (1/10 + 1/15) = 1/6
S... | 52,189 |
<|im_start|>user
There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two socks of the same colour have been chosen?
Answer Choices: (A) 2 (B) 3 (C) 14 (D) 16 (E) 20<|im... | 10,399 |
<|im_start|>user
There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?
Answer Choices: (A) 80 (B) 14... | 44,312 |
<|im_start|>user
A company gives bonus to retailer annually for a set target. This year the retailer has reached 1/4 of his target. If this year his target is increased to 20% from last year, how much target percentage of last year's target he should reach in order to get the bonus.
Answer Choices: (A) 5/20 (B) 19/20 (... | 47,866 |
<|im_start|>user
Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
Answer Choices: (A) 36 (B) 46 (C) 56 (D) 64 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the numbers be 4x and 7x.
Then, 4x+4 / 7x+4 = 3/5
⇔ 5(4x+4... | 91,530 |
<|im_start|>user
Vertebrates. from the smallest of fish to us. one of the main features we all have in common is our what?
Answer choice: (A) hair (B) backbone (C) warm blood (D) laying eggs<|im_end|>
<|im_start|>assistant
<think>
</think>
Vertebrates. From the smallest of fish to us. One of the main features we all ... | 2,132 |
<|im_start|>user
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from sellin... | 51,069 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 1,797 |
<|im_start|>user
John's marks wrongly entered as 82 instead of 62. Due to that the average marks for the class got increased by half (1/2). The number of John in the class is?
Answer Choices: (A) 70 (B) 78 (C) 80 (D) 84 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
otal increase in marks = x x 1 = x
2 2
x/2... | 78,794 |
<|im_start|>user
A = {10, 1, -3, 6, -8,-5}
B = {-1, 2, -4, 7}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Answer Choices: (A) 1/4 (B) 1/3 (C) 2/5 (D) 4/9 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
For... | 40,923 |
<|im_start|>user
If m and n are positive integers of T such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Answer Choices: (A) 2m/n + 1 (B) 2n/m + 1 (C) 2n/(m+1) (D) 2m/n (E) 2n/m<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets say N=10, M=5
2N=20. so the answer should... | 94,091 |
<|im_start|>user
A man can row 6 kmph in still water. When the river is running at 1.2 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) 5.71<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 6
S = 1.2
DS = ... | 81,914 |
<|im_start|>user
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Answer Choices: (A) 25/153 (B) 28/153 (C) 5/17 (D) E=4/9 (E) E=12/17<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at le... | 79,320 |
<|im_start|>user
What will be the fraction of 4%
Answer Choices: (A) 1/20 (B) 1/50 (C) 1/75 (D) 1/25 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4*1/100 = 1/25.
Friends I know it is quite simple, but trust me while solving percentage questions in Hurry we use to do these types of m... | 10,436 |
<|im_start|>user
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 767 meters (B) 426 meters (C) 500 meters (D) 165 meters (E) 156 meters<|im_end|>
<|im_start|>assistant
<think>... | 3,155 |
<|im_start|>user
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Answer Choices: (A) 279 (B) 283 (C) 308 (D) 318 (E) 328<|im_end|>
<|im_start|>assistant
<think>
</think>
Other number = (11 x 7700)/275 = 308.
The answer is C<|endoftext|> | 21,282 |
<|im_start|>user
A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 50 km/hr. What is the speed of the car in the second half of the trip?
Answer Choices: (A) 55 (B) 60 (C) 75 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</th... | 17,751 |
<|im_start|>user
An unbiased cubic die is thrown.What is the probability of getting a multiple of 4?
Answer Choices: (A) 1/6 (B) 1 (C) 2/6 (D) 3/6 (E) 1/12<|im_end|>
<|im_start|>assistant
<think>
</think>
S={1,2,3,4,5,6}
P(E)=n(E)/n(S)
n(s)=Total numbers in a die=6
Let E be the event of getting the multiple of 4
then... | 21,892 |
<|im_start|>user
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 4, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Answer Choices: (A) 10 (B) 9 (C) 8 (D) 7 (E) 6<|im_end|>... | 67,712 |
<|im_start|>user
7858,3929,163.70,20.46, ?
Answer Choices: (A) 1.25 (B) 2.69 (C) 3.87 (D) 2.04 (E) 4.12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Terms are continuously divided by 2,4,6 ,8, and so on
7858
7858÷ 2= 3929
3929 ÷ 4 =982.25
982.25 ÷ 6 = 163.70
163.70 ÷ 8= 20.46
20.46÷10=2.04
The ... | 7,451 |
<|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.
"I'd better get home before I tu... | 300 |
<|im_start|>user
What kind of membrane do prokaryotic cells have?
Answer choice: (A) cell wall (B) cellulose (C) plasma wall (D) plasma membrane<|im_end|>
<|im_start|>assistant
<think>
</think>
Like other cells, prokaryotic cells have a plasma membrane (see Figure below ). It controls what enters and leaves the cell.... | 5,819 |
<|im_start|>user
Which of the following fractions is at least thrice greater than 7/50?
Answer Choices: (A) 2/5 (B) 11/34 (C) 43/99 (D) 8/21 (E) 9/20<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer C
7/50=0.14
43/99=0.45 which is 0.01434 greater than thrice times of 0.14
The answer is C<|endoftext|> | 12,932 |
<|im_start|>user
Employees of a certain company are each to receive a unique 9-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, and 8 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes... | 83,577 |
<|im_start|>user
A container contains a dry mixture of sand and stones. Mass of sand and stones in the container is in the ratio 1:3. If 12 kg sand is added to the container, the ratio of masses of sand and stones becomes 5:3. Originally, how much more was the mass of stones than sand in the container?
Answer Choices: ... | 78,628 |
<|im_start|>user
A bag contains 15 red jellybeans and 15 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
Answer Choices: (A) 9/100 (B) 2/19 (C) 1/8 (D) 3/20 (E) 3/10<|im_end|>
<|im_start|>assistant
<... | 68,400 |
<|im_start|>user
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 277 (B) 299 (C) 245 (D) 888 (E) 291<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be... | 52,447 |
<|im_start|>user
The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Answer Choices: (A) 10% (B) 11 1/9% (C) 13 2/7% (D) 15 3/11% (E) 12 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original salary be $100
N... | 52,395 |
<|im_start|>user
Frank is 13 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Frank is 15 years younger then John --> F+13=J;
In 5 years John will be twice as ... | 25,657 |
<|im_start|>user
In the case of the thyroid hormone pathway, thyroid hormone itself carries out what kind of feedback?
Answer choice: (A) positive (B) continued (C) effective (D) negative<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 2,146 |
<|im_start|>user
Bob finishes the first half of an exam in one-seventh the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Answer Choices: (A) 15 (B) 24 (C) 27 (D) 36 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 39,199 |
<|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.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 4,862 |
<|im_start|>user
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Answer Choices: (A) 4.14% (B) 4.04% (C) 4.23% (D) 4.67% (E) 4.89%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 10... | 42,963 |
<|im_start|>user
The area of square ABCD above is 18. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Answer Choices: (A) 18−9/4∗π (B) 18−9/2∗π (C) 9+9/4∗π (D) 9+9/2∗π (E) 9/2−9/4∗π<|im_end|>
<|im_start|>assistant
<think>
</think>
=Square... | 51,684 |
<|im_start|>user
Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10.7 (B) 10.9 (C) 10.2 (D) 10.88 (E) 11.88<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative s... | 10,917 |
<|im_start|>user
if price of t.v set is reduced by 10%, then its sale increases by 85%, find net effect on sale value
Answer Choices: (A) 44 (B) 45 (C) 46 (D) 67 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
- a + b + ((-a)(b)/100)
= -10+85+(-10*85)/100
= -10+85-8.5
=67
The answer is D<|endoftext|> | 15,091 |
<|im_start|>user
What is the unsorted pile of material dropped by glaciers called?
Answer choice: (A) icy deposit (B) glacial runoff (C) glacial till (D) landfill<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 9,691 |
<|im_start|>user
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 26 cm.
Answer Choices: (A) 600cm2 (B) 500cm2 (C) 516cm2 (D) 416cm2 (E) 100cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: Let other diagonal = 2x cm.
Since diagonals of a rhombus bisect each other at rig... | 13,596 |
<|im_start|>user
If x+|x|+y=7 and x+|y|-y=5 what is x+y=?
Answer Choices: (A) 1 (B) -1 (C) 3 (D) 5 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
If x<0 and y<0, then we'll have x-x+y=7 and x-y-y=6. From the first equation y=7, so we can discard this case since y is not less than 0.
If x>=0 and y<0, then we'... | 87,504 |
<|im_start|>user
5 girls and 3 boys are arranged randomly in a row. Find the probability that:
1) there is one boy on each end.
2) There is one girl on each end.
Answer Choices: (A) 3/28 & 5/14 (B) 5/28 & 3/14 (C) 5/14 & 3/28 (D) 3/28 & 1/14 (E) 1/28 & 5/14<|im_end|>
<|im_start|>assistant
<think>
</think>
Total # of ... | 73,675 |
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