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<|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...
4,909
<|im_start|>user How many factors of 30 are odd numbers greater than 1? Answer Choices: (A) 3 (B) 3 (C) 5 (D) 6 (E) 7<|im_end|> <|im_start|>assistant <think> </think> prime factors of 30 are 2^1,3^1,5^1 total divisors = (power if a prime factor+1) total no. of odd factors(3,5,) = (1+1)(1+1) =4 since we need odd divis...
50,938
<|im_start|>user 60kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin and copper in the ratio 1:4, then the amount of tin in the new alloy is? Answer Choices: (A) 24kg (B) 44kg (C) 20kg (D) 30kg (E) 52kg<|im_end|> <|im_start|>assistant <think> </think> Q...
27,022
<|im_start|>user Find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm. Answer Choices: (A) 71 cm2 (B) 121 cm2 (C) 141 cm2 (D) 195 cm2 (E) 221 cm2<|im_end|> <|im_start|>assistant <think> </think> length = 15 cm, breadth = 13 cm Perimeter of rectangle = 2 (length + breadth) = 2 (15 + 13) cm = ...
39,441
<|im_start|>user There are 24 students in Chad’s class. He brought 26 cookies to pass out for his birthday. How many cookies will each student get? Will there be any cookies left over? Answer Choices: (A) 1-9 (B) 1-7 (C) 2-8 (D) 1-2 (E) 3-10<|im_end|> <|im_start|>assistant <think> </think> 26/24 = 1 R 2 Chad will g...
3,195
<|im_start|>user The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 144 metres, what is its area? Answer Choices: (A) 1320 sq.metres (B) 1260 sq.metres (C) 1280 sq.metres (D) 1380 sq.metres (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Let...
89,486
<|im_start|>user A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work? Answer Choices: (A) 15 (B) 66 (C) 77 (D) 8 (E) 54<|im_end|> <|im_start|>assistant <think> </think> One days's work of A, B and C = 1/90 + 1/30 + 1/45 = (1 + 3 + 2)/90 = 1/...
66,738
<|im_start|>user A train 310 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) 17 (E) 13<|im_end|> <|im_start|>assistant <think> </think> Speed of train relative ...
54,609
<|im_start|>user Determine the value of 62/54 divided by 62/54 Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) none<|im_end|> <|im_start|>assistant <think> </think> Solution: Each number divided by itself equals 1. The answer is B<|endoftext|>
19,111
<|im_start|>user A bicycle wheel has a diameter of 0.75m. How many complete revolutions does it make in 1km? Answer Choices: (A) 424 (B) 448 (C) 1408 (D) 710 (E) 223<|im_end|> <|im_start|>assistant <think> </think> 1 revolution = 3.14 * diameter. Number of revolutions in 1km = 1000m / ( 3.14 * 0.75m ) = 424.6. Hence ...
14,945
<|im_start|>user A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ? Answer Choices: (A) 30 seconds (B) 32 seconds (C) 34 seconds (D) 36 seconds (E) 38 seconds<|im_end...
21,481
<|im_start|>user 5862 is to 714 and 3498 is to 1113 and 9516 is to 156 therefore 8257 is to ? Answer Choices: (A) 163 (B) 134 (C) 157 (D) 189 (E) 143<|im_end|> <|im_start|>assistant <think> </think> C 157 7 + 8 = 15, 2 + 5 = 7 The answer is C<|endoftext|>
52,212
<|im_start|>user A heterogeneous mixture of particles of one substance distributed throughout a second substance in a different phase is known as what? Answer choice: (A) disruption (B) suspension (C) solution (D) fluid<|im_end|> <|im_start|>assistant <think> </think> Summary A suspension is a heterogeneous mixture o...
10,501
<|im_start|>user 3/5 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children? Answer Choices: (A) 1/5 (B) 1/4 (C) 7/20 (D) 3/5 (E) It cannot be determined from the given information.<|im_end|> <|im_start|>assistant ...
72,773
<|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...
66
<|im_start|>user The average weight of 26boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. Answer Choices: (A) 49.05 (B) 42.25 (C) 50 (D) 51.25 (E) 52.25<|im_end|> <|im_start|>assistant <think> </think> Explanation: Average weight of 26 bo...
86,669
<|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...
5,167
<|im_start|>user Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? Answer Choices: (A) 3/1 (B) 3/2 (C) 3/9 (D) 3/5 (E) 7/2<|im_end|> <|im_start|>assistant <think> </think> Let ...
16,509
<|im_start|>user If n = 2lk, where l and k are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ? Answer Choices: (A) Two (B) Three (C) Four (D) Six (E) Eight<|im_end|> <|im_start|>assistant <think> </think> Answer - 'C' - Four. For a number 2lk with prime...
81,207
<|im_start|>user In a college, 71 percent of students Play Football, 76 percent of students Play Hockey, 86 percent Play Basket Ball and 81 percent Play Volleyball. Can you find out the percentage of students who study all 4 Games? Answer Choices: (A) 14% (B) 10% (C) 16% (D) 18% (E) 19%<|im_end|> <|im_start|>assistant ...
40,849
<|im_start|>user The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is? Answer Choices: (A) 218 (B) 265 (C) 268 (D) 480 (E) 261<|im_end|> <|im_start|>assistant <think> </think> 262 – 102 = 242 d1 = 20 d2 = 48 1/2 * 20 * 48 = 480 The answer is D<|endoftext|>
44,380
<|im_start|>user Favid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d? Answer Choices: (A) 5/6*d (B) 7/3*d (C) 10/3*d (D) 7/2*d (E) 9/2*d<|im_end|> <|im_start|>assistant <think> </think> Favid has d books; Jeff has d/3 bo...
56,409
<|im_start|>user What is the value of 3x^2 − 1.8x + 0.3 for x = 0.3? Answer Choices: (A) −0.3 (B) 0 (C) 0.03 (D) 1.08 (E) 2.46<|im_end|> <|im_start|>assistant <think> </think> 3x^2-1.8x+0.3 for x=0.6 =3(0.3*0.3)-6*0.3*(0.3)+0.3 =-3*0.3*0.3+0.3 =-0.27+0.3 = 0.03 Correct Option : C The answer is C<|endoftext|>
51,775
<|im_start|>user Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchangin...
57,355
<|im_start|>user If a positive odd integer N has p positive factors, how many positive factors will 4N have ? Answer Choices: (A) p (B) 2p (C) P+1 (D) 2p+1 (E) Cannot be determined<|im_end|> <|im_start|>assistant <think> </think> I have added some extra text to make this question more GMAT-like: Let's TEST some value...
37,868
<|im_start|>user There are 13 hearts in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks...
56,140
<|im_start|>user A certain rectangular window is two times as long as it is wide. If its perimeter is 30 feet, what are its dimensions in terms of length by width? Answer Choices: (A) 12 by 2 (B) 11 by 3 (C) 10.5 by 3.5 (D) 10 by 5 (E) 9 by 3<|im_end|> <|im_start|>assistant <think> </think> 2x+2y=30 x+y=15 x+2x=15 3x...
54,435
<|im_start|>user The speed of the boat in still water is 12km/hr. and the speed of the stream is 3km/hr. Find the distance travelled downstream in 12 minutes. Answer Choices: (A) 160 km (B) 180 km (C) 190 km (D) 170 km (E) 140 km<|im_end|> <|im_start|>assistant <think> </think> speed of the boat in downstream =speed ...
27,737
<|im_start|>user A baseball team won 45 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played? Answer Choices: (A) 36 (B) 45 (C) 50 (D) 55 (E) 81<|im_end|> <|im_start|>assistant <think> </think> Number o...
41,973
<|im_start|>user Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by: Answer Choices: (A) 1by7 (B) 1/8 (C) 1/9 (D) 7/8 (E) 1/5<|im_end|> <|i...
4,061
<|im_start|>user The water from one outlet, flowing at a constant rate, can fill a swimming pool in 7 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 4 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool? Answ...
28,072
<|im_start|>user A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest? Answer Choices: (A) 28% (B) 12% (C) 72% (D) 82% (E) 13%<|im_end|> <|im_start|>assistant <think> </think> Let the interest for one year be x. As amount = Principal + Interest, we hav...
7,958
<|im_start|>user A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choices: (A) 56.25% (B) 49.56% (C) 84.46% (D) 24.50% (E) 45.35%<|im_end|> <|im_start|>assistant <think> </think> g% = 25 + 25 + (25...
6,397
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive. Hyperbole is an obvious exaggeration that is not meant to be taken literally. I ate so much that...
5,910
<|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) 460 (C) 800 (D) 880 (E) 900<|im_end|> <|im_start|>assistant <think> </thin...
58,373
<|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...
5,904
<|im_start|>user From a group of 5 boys and 5 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected? Answer Choices: (A) 4/15 (B) 6/17 (C) 8/19 (D) 10/21 (E) 12/23<|im_end|> <|im_start|>assistant <think> </think> The total number of ways to choose 6 children f...
39,117
<|im_start|>user In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together? Answer Choices: (A) A) 360 (B) B) 720 (C) C) 480 (D) D) 5040 (E) of these<|im_end|> <|im_start|>assistant <think> </think> The word 'AIRPORT' has 7 different letters. When ...
16,667
<|im_start|>user If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is: Answer Choices: (A) 8 (B) 9 (C) 12 (D) 14 (E) 13<|im_end|> <|im_start|>assistant <think> </think> Let the numbers be x and y Then x2-y2=39 And x-y=3 We get x+y=13 Solving x-y=3, x+y=13 X=8, y=5 ...
3,182
<|im_start|>user If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 9 people to do 9 times of that particular work? Answer Choices: (A) 1 (B) 2 (C) 3 (D) 9 (E) 12<|im_end|> <|im_start|>assistant <think> </think> 3 people can do the work one time in one day. 1 person can do 1/3...
77,110
<|im_start|>user During the early paleozoic, the amount of carbon dioxide in the atmosphere compared to today was? Answer choice: (A) none (B) the same (C) much greater (D) much lower<|im_end|> <|im_start|>assistant <think> </think> During the early Paleozoic, the amount of carbon dioxide in the atmosphere was much g...
6,087
<|im_start|>user X completes a work in 20 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be? Answer Choices: (A) 10 days. (B) 12 days. (C) 14 days. (D) 8 days. (E) 20 days.<|im_end|> <|im_start|>assistant <think> </think> If X ca...
139
<|im_start|>user What is defined as the product of a force times the distance over which the force acts? Answer choice: (A) matter (B) motion (C) energy (D) work<|im_end|> <|im_start|>assistant <think> </think> Work is defined as the product of a force times the distance over which the force acts. The force and the d...
9,570
<|im_start|>user A bag contains 3 white balls, 3 black balls, and 4 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Answer Choices: (A) 0.25 (B) 0.15 (C) 0.35 (D) 0.45 (E) 0.4<|im_end|> <|im_start|>assistant <think> </think> Each ball has an eq...
88,336
<|im_start|>user A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 49 hrs and a machine of type S does the same job in 14 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R...
39,728
<|im_start|>user A child has 36 blue marbles and 10 red marbles, and he kept they into a bag. If he asks you to pick up 3 marbles, what is the probability that all the 3 marbles will be red? Answer Choices: (A) 1/253 (B) 2/253 (C) 3/253 (D) 1/153 (E) 2/153<|im_end|> <|im_start|>assistant <think> </think> There a...
64,620
<|im_start|>user Two trains having length of 140 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) 10.2 (B) 10.4 (C) 10.6 (D) 10.8 (E) 11.2<|im_end|> <|im_start|>assistant <think> </t...
73,400
<|im_start|>user The cross-section of a lake is a trapezium in shape. If the lake is 20m wide at the top and 5m wide at the bottom and the area of cross-section is 600 sq m, the depth of lake is? Answer Choices: (A) 48 m (B) 68 m (C) 46 m (D) 84 m (E) 97 m<|im_end|> <|im_start|>assistant <think> </think> 1/2 * d (20+...
65,995
<|im_start|>user The nail bed is a specialized structure of the epidermis that is found at the tips of our what? Answer choice: (A) fingers, nails, and scalp (B) only nails (C) fingers and toes (D) only fingers<|im_end|> <|im_start|>assistant <think> </think> Nails The nail bed is a specialized structure of the epide...
10,765
<|im_start|>user When warm air rises up to the tropopause, where does it flow? Answer choice: (A) east or north (B) north or south (C) west or south (D) east or west<|im_end|> <|im_start|>assistant <think> </think> Earth is hottest at the equator and gets cooler toward the poles. The differences in heating create hug...
5,948
<|im_start|>user n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 3360, then what is the smallest possible value of n? Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|> <|im_start|>assistant <think> </think> 3360=2^5*3*5*7 2^5 means that n must be at lea...
62,006
<|im_start|>user The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years? Answer Choices: (A) 31 (B) 41 (C) 51 (D) 61 (E) 71<|im_end|> <|im_start|>assistant <think> </think> Solution Age of the teacher = (37 x 15 - 3...
64,219
<|im_start|>user If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x - 2y) is odd II. xy^2 is an even negative integer III. (y^2 ) is an odd negative integer Answer Choices: (A) I only (B) II only (C) I (D) I and III (E) II and III<|im_end|> <|im_start|>assis...
20,432
<|im_start|>user Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race? I. Stephanie II. Regine,Brian III.Regine Answer Choices: (A) I only (B) II only (C) III only (D) I or...
91,290
<|im_start|>user The largest five digit number which is a perfect cube, is: Answer Choices: (A) 85184 (B) 91125 (C) 97336 (D) 96806 (E) 99999<|im_end|> <|im_start|>assistant <think> </think> Explanation: 46*46*46 = 97336 The answer is C<|endoftext|>
34,252
<|im_start|>user A boat crossed a lake from North to East at the speed of 10 km/h, entered a river and covered twice as much distance going upstream at 9 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed? Answer Choices: (...
64,583
<|im_start|>user There is a 20% chance that Lions will not win at all during the whole season. There is a 30% chance that Tigers will not play at all in the whole season. What is the greatest possible probability that the Lions will win and Tigers will play during the season? Answer Choices: (A) 55% (B) 60% (C) 70% ...
95,049
<|im_start|>user If d and y are positive integer and d/y is an even integer, which of the following can be an odd integer? Answer Choices: (A) x (B) xy (C) x−y (D) x+2y (E) d/3<|im_end|> <|im_start|>assistant <think> </think> C d-Y Let says d =12 Y=3 iT BECOMES d-Y =9 This is odd True d = 12 Y = 6 THEN d-Y = 2, Which...
68,037
<|im_start|>user How many numbers are divisible by 4 between 1 and 100? Answer Choices: (A) 25 (B) 24 (C) 23 (D) 22 (E) 20<|im_end|> <|im_start|>assistant <think> </think> Numbers divisible by 4 till 100=(100/4)=25 But we should not consider 100 as we are asked to find the numbers between 1 and 100 which are divisibl...
71,732
<|im_start|>user Set S consists of integers {1,2,3,4,5,6}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 9? Answer Choices: (A) 2/15 (B) 1/7 (C) 3/11 (D) 4/19 (E) 2/21<|im_end|> <|im_start|>assistant <think> </think> Number of ways you can choose 2 from...
49,831
<|im_start|>user Ginkgo trees are gymnosperms with broad? Answer choice: (A) trunks (B) roots (C) leaves (D) fruits<|im_end|> <|im_start|>assistant <think> </think> Ginkgo trees are gymnosperms with broad leaves. The answer is C<|endoftext|>
10,840
<|im_start|>user In what state do ionic compounds best conduct electricity? Answer choice: (A) gas (B) solid (C) liquid (D) plasma<|im_end|> <|im_start|>assistant <think> </think> Solid ionic compounds are poor conductors of electricity. The strong bonds between ions lock them into place in the crystal. However, in t...
8,638
<|im_start|>user In what time will a car 10 m long moving at the rate of 36 kmph pass a telegraph post on its way? Answer Choices: (A) 8 sec (B) 1 sec (C) 9 sec (D) 6 sec (E) 2 sec<|im_end|> <|im_start|>assistant <think> </think> T = 10/36 * 18/5 = 1 sec The answer is B<|endoftext|>
72,681
<|im_start|>user Set A: {1, 3, 4, 6, 9, 12, 15,18} If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3? Answer Choices: (A) 3/14 (B) 2/7 (C) 5/14 (D) 5/7 (E) 11/14<|im_end|> <|im_start|>assistant <think> </think> using prob...
55,617
<|im_start|>user Three pieces of timber 24 m, 28 m and 36 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ? Answer Choices: (A) 7 m (B) 4 m (C) 42 m (D) 63 m (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Answer Greatest possible length ...
77,668
<|im_start|>user Chloroplasts and chromoplasts are examples of which membrane bound organelle containing their own dna? Answer choice: (A) chromosomes (B) polymers (C) plastids (D) bacteria<|im_end|> <|im_start|>assistant <think> </think> Plastids are membrane-bound organelles with their own DNA. Examples are chlorop...
4,477
<|im_start|>user N= 1!+2!+3!.....+10!. what is the last digit of N^N? Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|> <|im_start|>assistant <think> </think> as you see 5! till 10 ! each unit digit is zero. so 1!+2!+3!+4! =33 so unit digit 3+ 0 =3 N=3 N^N= 3^3=27 so last digit is 7. The answer is E<|endoftext|...
57,260
<|im_start|>user What is the selling price of a car? cost of car is Rs 60 & profit 10% profit over selling price Answer Choices: (A) 63 (B) 64 (C) 65 (D) 66 (E) 67<|im_end|> <|im_start|>assistant <think> </think> sp=1.1*60=66 The answer is D<|endoftext|>
1,749
<|im_start|>user One fourth of a solution that was 13% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight? Answer Choices: (A) 25% (B) 34% (C) 22% (D) 18% (E) 8.5%<|im_end|> <|im_start|>assistant <think> </th...
49,881
<|im_start|>user A nerve cell that carries messages is called a? Answer choice: (A) mitochondria (B) neuron (C) stem cell (D) platelet<|im_end|> <|im_start|>assistant <think> </think> The nervous system is made up of nerves. A nerve is a bundle of nerve cells. A nerve cell that carries messages is called a neuron. Th...
305
<|im_start|>user What group of elements does sodium belong to? Answer choice: (A) halogens (B) metalloids (C) alkali metals (D) noble gases<|im_end|> <|im_start|>assistant <think> </think> Sodium belongs to the group of elements called the alkali metals. An alkaline solution is another name for a solution that is bas...
1,779
<|im_start|>user The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $52.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall? Answer...
41,418
<|im_start|>user What kind of radiation is greatest at the equator and lessens toward the poles? Answer choice: (A) lunar raditation (B) small radiation (C) large radiation (D) solar radiation<|im_end|> <|im_start|>assistant <think> </think> The amount of solar radiation a place receives is greatest at the Equator an...
4,037
<|im_start|>user If Rs. 782 is divided into three parts, proportional to 1/2:2/3:3/4 Answer Choices: (A) 190 (B) 204 (C) 220 (D) 230 (E) 250<|im_end|> <|im_start|>assistant <think> </think> Explanation: 1/2:2/3:3/4 =6:8:9 First part =782∗6/23 =204 The answer is B<|endoftext|>
86,702
<|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. Volume is a measurement of how much space something takes up. There are many different units of v...
5,930
<|im_start|>user Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three ...
65,057
<|im_start|>user Unlike a crystalline solid, an amorphous solid is a solid that lacks a what? Answer choice: (A) atoms (B) ordered internal structure (C) weight (D) color<|im_end|> <|im_start|>assistant <think> </think> Unlike a crystalline solid, an amorphous solid is a solid that lacks an ordered internal structure...
8,260
<|im_start|>user The edge of a cube is 5a cm. Find its surface? Answer Choices: (A) 24a8 (B) 150a2 (C) 24a1 (D) 24a2 (E) 24a7<|im_end|> <|im_start|>assistant <think> </think> 6a2 = 6 * 5a * 5a = 150a2 The answer is B<|endoftext|>
53,141
<|im_start|>user In the Hillside summer camp there are 50 children. 85% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen? Answer Choices: (A) 20. (B) 45. ...
91,905
<|im_start|>user What is the most widely accepted theory explaining how muscle fibers contract? Answer choice: (A) sliding pigment theoery (B) sliding filament theory (C) sliding tritium theory (D) sliding carbon theory<|im_end|> <|im_start|>assistant <think> </think> The most widely accepted theory explaining how mu...
5,575
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive. Anaphora is the repetition of the same word or words at the beginning of several phrases or clau...
238
<|im_start|>user A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Q covered by the two roads? Answer Choices: (A) 400 (B) 1550 (C) 1575 (D) 1600 (E) 1625<|im_end|> <|im_start|>assistant ...
19,122
<|im_start|>user Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Q of time will elapse before they chime together again? Answer Choices: (A) 2 hr. and 24 min. (B) 4 hr. and 48 min. (C) 1 hr. and 36 min. (D) 5 hr. (E) 2 hr.<|im_end|> <|im_st...
92,444
<|im_start|>user The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number? Answer Choices: (A) 46 (B) 77 (C) 88 (D) 544 (E) 33<|im_end|> <|im_start|>assistant <think> </think> Sum of all the 13 numbers = 13 * 60 = 780 Sum of the first 7 of them = 7 * 57 =...
75,450
<|im_start|>user What does the presence of gill slits suggest about humans and fish? Answer choice: (A) Shared History (B) common ancestor (C) Common Cells (D) Same evolutionary chain<|im_end|> <|im_start|>assistant <think> </think> Some unexpected traits can appear in animal embryos. For example, human embryos have ...
4,366
<|im_start|>user Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits F can does Grace have available during her trip? Answer Choices: (A) 2,520 (B) 1,26...
52,359
<|im_start|>user If x and y are positive integers such that x < y and z=x/y, which of the following must be true? I. z>(x − 1)/(y + 2) II. z>(x − 1)/(y + 2) III. z>(x + 1)/(y - 2) Answer Choices: (A) I only (B) I and II (C) II and III (D) II only (E) I and III<|im_end|> <|im_start|>assistant <think> </think> x < y --...
60,824
<|im_start|>user A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present? Answer Choices: (A) 18 (B) 27 (C) 40 (D) 37 (E) 29<|im_end|> <|im_start|>assistant <think> </think> Let the mother's present age be x years. The...
47,579
<|im_start|>user In a box, there are 7 red, 3 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green? Answer Choices: (A) 2/3 (B) 8/21 (C) 3/7 (D) 7/15 (E) 10/21<|im_end|> <|im_start|>assistant <think> </think> Explanation: Total number of balls = (7 + 3 + 5)...
41,284
<|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 580. The number of hares in the zoo is? Answer Choices: (A) 17 (B) 26 (C) 90 (D) 27 (E) 21<|im_end|> <|im_start|>assistant <think> </think> 200*2 = 400 580 ----- 180 1----2 ?----180 = 90 The...
45,411
<|im_start|>user A room is 25 meters long, 20 meters wide 10 meters in height. The longest possible rod which can be placed in the room is Answer Choices: (A) 30.54 meters (B) 32.54 meters (C) 34.54 meters (D) 33.54 meters (E) 35.54 meters<|im_end|> <|im_start|>assistant <think> </think> Square root of 25^2+20^2+10^2...
8,256
<|im_start|>user If py + z = p(y + z), which of the following must be true? Answer Choices: (A) x = 0 and z = 0 (B) p = 1 and y = 1 (C) p = 1 and z = 0 (D) p = 1 or y = 0 (E) p = 1 or z = 0<|im_end|> <|im_start|>assistant <think> </think> py + z = py + pz z = pz case 1: z not= 0, p = z/z = 1 case 2: z = 0, 0 = p...
71,374
<|im_start|>user What causes blood vessels to grow toward the tumour in cancer cells? Answer choice: (A) harnessing molecules (B) addressing molecules (C) signaling molecules (D) communicating molecules<|im_end|> <|im_start|>assistant <think> </think> The answer is C<|endoftext|>
7,811
<|im_start|>user The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|> <|im_start|>assistant <think> </think> EXPLANATION Let the numbers 13a and 13b. Then, 13a x 13b = 2028 ab = 12. Now, the co-primes with product 12 are (1, 12...
10,740
<|im_start|>user Tough and Tricky questions: Word Problems. In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 7. Based on this information,...
54,050
<|im_start|>user A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 6,500 meters of fabric? Answer Choi...
89,888
<|im_start|>user A snooker tournament charges $40.00 for VIP seats and $10.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats? Answer Choices: (A) 190 (B)...
939
<|im_start|>user Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 30 kg of fresh grapes? Answer Choices: (A) 3.75 kg (B) 2.4 kg (C) 2.5 kg (D) 10 kg (E) none of these<|im_end|> <|im_start|>assistant <think> </think> The weight of non-wa...
80,638
<|im_start|>user Twenty eight meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area? Answer Choices: (A) 2√2 (B) 2√5 (C) 5 (D) 7 (E) none of these<|im_end|> <|im_sta...
21,433
<|im_start|>user A train passes a station platform in 48 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choices: (A) 476 m (B) 420 m (C) 440 m (D) 407 m (E) 402 m<|im_end|> <|im_start|>assistant <think> </think> Speed = [54 *...
39,422