text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Extended stays in zero gravity are not healthy for human beings. thus, for the comfort of the astronauts, the station is rotated so that the astronauts feel there is what?
Answer choice: (A) revealed gravity (B) internal gravity (C) still gravity (D) Fixed Gravity<|im_end|>
<|im_start|>assistant
<think... | 7,606 |
<|im_start|>user
AF + CD = AAA, where AF and CD are two-digit numbers and AAA is a three digit number; A, F, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Answer Choices: (A) 1 (B) 3 (C) 7 (D) 9 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</th... | 63,036 |
<|im_start|>user
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year Item of Expenditure
Salary Fuel and Transport Bonus Interest on Loans Taxes
1998 288 98 3.00 23.4 83
1999 342 112 2.52 32.5 108
2000 324 101 3.84 41.6 74
2001 336 133 3.68 36.4 88
2002 420 142 3.96 49.4 98
What is the avera... | 9,648 |
<|im_start|>user
In how many ways can the letters of the word 'LEADER' be arranged?
Answer Choices: (A) 72 (B) 144 (C) 360 (D) 720 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
Required number of ways = 6! / (1!)(2!)... | 96,400 |
<|im_start|>user
If A : B = 4 : 7 and B : C = 4 : 9 then A : B : C is :
Answer Choices: (A) 20 : 35 : 63 (B) 35 : 36 : 63 (C) 16 : 28 : 63 (D) 25 :34: 68 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl : A : B = 4 : 7
B : C = 4 :9 = 4*7/4 : 9 *7/4 = 7 : 63/4
A : B : C = 4 : 7 : 63/4 = 16 : 28 ... | 48,974 |
<|im_start|>user
In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
A... | 87,341 |
<|im_start|>user
The price of a book is increased from $300 to $420. What is the % of increase in its price?
Answer Choices: (A) 10% (B) 20% (C) 40% (D) 50% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: Change in the price = Rs 420 – Rs 300
= Rs 120
Percentage of increase = Change in the pri... | 46,327 |
<|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... | 2,583 |
<|im_start|>user
We run a business that rents out canoes and kayaks. A canoe rental costs $15 per day, and a kayak rental costs $18 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $405 in revenue. How many more canoes than kayaks were rented out?
Answer Choices: (A) ... | 61,708 |
<|im_start|>user
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Answer Choices: (A) 9 (B) 8 (C) 7 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
96% ---- 12
144% ---- ?
96/144 * 12 = 8
The answer is B<|endoftext|> | 46,601 |
<|im_start|>user
How many bones fuse together to form the cranium?
Answer choice: (A) 8 (B) 6 (C) 3 (D) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Fixed joints do not allow any bone movement. Many of the joints in your skull are fixed ( Figure below ). There are eight bones that fuse together to form the cran... | 4,795 |
<|im_start|>user
A certain quantity of 45% concentration solution is replaced with 15% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
Answer Choices: (A) 1:3 (B) 1:2 (C) 2:3 (... | 66,215 |
<|im_start|>user
Mohit sold an article for Rs. 18000. Had he offered a discount of 19% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Answer Choices: (A) 13500 (B) 27767 (C) 16688 (D) 26678 (E) 19987<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the CP be Rs. ... | 69,711 |
<|im_start|>user
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Answer Choices: (A) 10.36 (B) 10.39 (C) 10.3 (D) 10.34 (E) 10.31<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 70 * 1 ½ = 105 k... | 78,272 |
<|im_start|>user
What type of plant tissue transports water and dissolved mineral upward to the leaves?
Answer choice: (A) xylem (B) collagen (C) ectoderm (D) phloem<|im_end|>
<|im_start|>assistant
<think>
</think>
Xylem carries water and dissolved minerals from the roots upward to the leaves.
The answer is A<|endoft... | 1,050 |
<|im_start|>user
Some students are standing in a circle in which 6th and the 16th student are standing opposite to each other. find how many students were present there.
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
(n/2) - x = 6
n - x = 16
solving these two => n ... | 11,673 |
<|im_start|>user
How many cubes of 5 cm edge can be put in a cubical box of 1 m edge.
Answer Choices: (A) 1770cm (B) 8000 cm (C) 7860 cm (D) 6170 cm (E) 1870 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of cubes =100∗100∗100/5*5*5=8000
Note: 1 m = 100 cm
The answer is B<|endoftext|> | 12,883 |
<|im_start|>user
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
Answer Choices: (A) 3:7:5 (B) 6:10:5 (C) 6:10:7 (D) 6:7:5 (E... | 55,636 |
<|im_start|>user
A man can row a boat at 20 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 60 km downstream?
Answer Choices: (A) 30/18 (B) 30/29 (C) 30/12 (D) 30/13 (E) 30/12<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 20 + 4 = 24 kmph.
T... | 70,949 |
<|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. 92.16, the number of the member is the group is:
Answer Choices: (A) 57 (B) 67 (C) 77 (D) 87 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 88,840 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 1,994 |
<|im_start|>user
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.150, what is B's capital?
Answer Choices: (A) 19878 (B) 12798 (C) 26908 (D) 11250 (E) 22073<|im_end|>
<|im_start|>assistant
<think>
</think>
200 + 150 = 350
800 - 350 = 450
20... | 79,552 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A run-on sentence is made up of two sentences that are joined without end punctuation or with ju... | 2,844 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 3,709 |
<|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 the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 1,515 |
<|im_start|>user
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) E982 (B) 27 (C) 12 (D) 121 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
T = 9/45 * 60 = 12
The answer is C<|endofte... | 37,244 |
<|im_start|>user
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Answer Choices: (A) 90 m (B) 100 m (C) 150 m (D) 180 m (E) 190 m<|im_end|>
<|im_... | 30,665 |
<|im_start|>user
Out of 7 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Answer Choices: (A) A) 3/7 (B) B) 5/4 (C) C) 5/7 (D) D) 5/6 (E) E) 5/3<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one graduate) = 1 - P(n... | 77,197 |
<|im_start|>user
Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets E did Irwin score?
A... | 51,593 |
<|im_start|>user
Oxygenated air, taken in during inhalation, diffuses across the surface of the lungs into the what?
Answer choice: (A) liver (B) brain (C) proteins (D) bloodstream<|im_end|>
<|im_start|>assistant
<think>
</think>
Types of Breathing Amphibians have evolved multiple ways of breathing. Young amphibians,... | 4,803 |
<|im_start|>user
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 51st term in the sequence?
Answer Choices: (A) 9 (B) 8 (C) 7 ... | 2,104 |
<|im_start|>user
If BASKET is coded as 116,then COLOUR is coded as,
Answer Choices: (A) 158 (B) 168 (C) 179 (D) 188 (E) 198<|im_end|>
<|im_start|>assistant
<think>
</think>
NUMBER THE ALPHABETS
B=2, A=1, S=19, K=11, E=5, T=20
BASKET = 116
2(B+A+S+K+E+T) ==>2(2+1+19+11+5+20) = 2(58) = 116
Similarly C=3, O=15, L=12, O=... | 94,759 |
<|im_start|>user
A train covers a distance of 10km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) m (B) m (C) m (D) m (E) m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (10/10 * 60) km/hr
= (60 * 5/18) m/sec = 50/3 m/sec.
Length of the train = 5... | 64 |
<|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 metric units, length can be written with units of millimeters, centimeters, me... | 308 |
<|im_start|>user
It takes Avery 5 hours to build a brick wall while Tom can do it in 4 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Answer Choices: (A) 1 hour and 20 minutes. (B) 2 hours and 12 minutes. (C) 1 hour and 40 minutes... | 89,707 |
<|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... | 6,353 |
<|im_start|>user
If a and b are nonzero integers such that 4a = 10b, then each of the following must be true EXCEPT
Answer Choices: (A) 0 < b/a < 1 (B) ab is positive. (C) On the number line, b lies between 0 and a. (D) The ratio of a to b is equivalent to 10/4. (E) a – b is positive.<|im_end|>
<|im_start|>assistant
<t... | 17,058 |
<|im_start|>user
An article cost is Rs 912 after decreasing 24%. So find the actual cost of the article?
Answer Choices: (A) 1200 (B) 1500 (C) 1300 (D) 1000 (E) 1700<|im_end|>
<|im_start|>assistant
<think>
</think>
CP* (76/100) = > 912
CP = 12*100 = 1200
The answer is A<|endoftext|> | 6,893 |
<|im_start|>user
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Answer Choices: (A) 1/22 (B) 3/22 (C) 2/91 (D) 5/91 (E) 3/91<|im_end|>
<|im_start|>assistant
<think>
</think>
Let S be the sample space.
Then, n(S)= number of wa... | 17,654 |
<|im_start|>user
A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than twice the length of piece B. Which of the following is the length, in feet, of piece A ?
Answer Choices: (A) (L - 1) /2 (B) (2L + 1) /3 (C) (L + 1) /3 (D) (2L + 2) /3 (E) (2L - 2) /3<|im_end|>
<|im_start... | 80,176 |
<|im_start|>user
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $75?
Answer Choices: (A) 4 (B) 18 (C) 15 (D) ... | 17,669 |
<|im_start|>user
Which of the following equations is NOT equivalent to 4u^2 = y^2 - 9 ?
Answer Choices: (A) 4u^2 + 9 = y^2 (B) 4u^2 - y^2 = -9 (C) 4u^2= (y + 3) (y - 3) (D) 2u = y - 3 (E) u^2 = (y^2-9) /4<|im_end|>
<|im_start|>assistant
<think>
</think>
4X^2 = Y^2 - 9
The basic rule when dealing with equations i... | 42,108 |
<|im_start|>user
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was ... | 59,213 |
<|im_start|>user
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $400 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. Wha... | 4,122 |
<|im_start|>user
Tomy's age 24 years hence will be thrice his age four years ago. Find Tomy's present age?
Answer Choices: (A) 12 years (B) 13 years (C) 15 years (D) 17 years (E) 18 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let MTomy's present age be 'x' years.
x+ 24 = 3(x- 4)
=> 2x = 36 => x = 18 years.... | 74,043 |
<|im_start|>user
A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 90 (B) 75 (C) 50 (D) 80 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n... | 34,169 |
<|im_start|>user
The positive integer f is divisible by 10. What is the remainder of dividing f(2+4)(1+f) by 5?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
When we multiply any of these options: 10*6*11 (f=10) or 20*6*21 (f=20) we end up with numbers ending in 0 whic... | 34,017 |
<|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 5 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... | 70,561 |
<|im_start|>user
When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 26 names, the roster for her marketing class (M) had 26, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in comm... | 65,900 |
<|im_start|>user
What term describes the long tube that connects the mouth to the anus?
Answer choice: (A) metabolism tract (B) gastrointestinal tract (C) esophagus tract (D) lungs tract<|im_end|>
<|im_start|>assistant
<think>
</think>
The organs in Figure below make up the gastrointestinal (GI) tract. This is essent... | 5,254 |
<|im_start|>user
Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 40% ?
Answer Choices: (A) 2.1 (B) 1.9 (C) 1.7 (D) 1.5 (E) 1.6<|im_end|>
<|im_start|>assistant
<think>
<... | 80,182 |
<|im_start|>user
In a dairy farm, 20 cows eat 10 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Answer Choices: (A) 20 (B) 40 (C) 80 (D) 30 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
One cow eats 10/20=0.5 bags of husk in 40 days. Then, it eats 1 bag in 40/0.5=80 days
The ans... | 13,330 |
<|im_start|>user
Jane invested $1500 in fund A and $1000 in fund B. Over the next two years, the money in Fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually. Two years after Jane made these investments. Jane's investment ... | 17,712 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 4,007 |
<|im_start|>user
Triceps and biceps muscles in the upper arm are an example of what type of muscle relationship?
Answer choice: (A) opposing (B) synchronized (C) symbiotic (D) competitive<|im_end|>
<|im_start|>assistant
<think>
</think>
Triceps and biceps muscles in the upper arm are opposing muscles.
The answer is A... | 2,049 |
<|im_start|>user
Ramesh spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Answer Choices: (A) 30% (B) 35% (C) 40% (D) 45% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original income=Rs.100 . Then , expendit... | 60,439 |
<|im_start|>user
Seven friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discou... | 33,665 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 250 (B) 260 (C) 270 (D) 280 (E) 290<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the t... | 60,078 |
<|im_start|>user
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer Choices: (A) 8939 (B) 8383 (C) 8389 (D) 4530 (E... | 46,616 |
<|im_start|>user
If a trader bought 9 balls per rupee and sells at the rate of 8 balls per rupee, what is the percentage profit or loss?
Answer Choices: (A) 12.5 % (B) 11.5 % (C) 23.5 % (D) 23.5 %x (E) 14.5 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Let he total number of oranges bought by the shopkeeper be 1... | 67,396 |
<|im_start|>user
The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Answer Choices: (A) 30 (B) 31 (C) 45 (D) 40 (E) 89<|im_end|>
<|im_start|>assistant
<think>
</think>
1 SD from the mea... | 27,778 |
<|im_start|>user
P and Q are the only two applicants qualified for a short-term research project that pays 540 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do... | 77,311 |
<|im_start|>user
In a group of ducks and Cows, the total number of legs are 16 more than twice the no. of heads. Find the total no.of buffaloes.
Answer Choices: (A) 10 (B) 12 (C) 8 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y =... | 12,733 |
<|im_start|>user
If 2a = 4b = 10, then 40ab =
Answer Choices: (A) 50 (B) 100 (C) 250 (D) 450 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
2a * 4b = 10 * 10 = 100
8 ab = 100
i.e. 40 ab = 500
The answer is E<|endoftext|> | 52,659 |
<|im_start|>user
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 40% marks i... | 97,303 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 5,090 |
<|im_start|>user
Which of the following is closest to 1/3+1/33+1/333
Answer Choices: (A) 2/3 (B) 1/3 (C) 1/4 (D) 1/6 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
1/3+1/33+1/333=0.33+0.03+0.003=0.333=1/3
The answer is B<|endoftext|> | 13,186 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 2,113 |
<|im_start|>user
What percent of 16 is 16 percent of 1?
Answer Choices: (A) 0.001 (B) 1 (C) 0.1 (D) 100 (E) 101.<|im_end|>
<|im_start|>assistant
<think>
</think>
16 % of 1 = (16/100) * 1 = 16/100
To determine what percentage of 16 this is :
[16][/100*16] *100 = 1%
The answer is B<|endoftext|> | 9,699 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement. It tells about something. A declarative sentence always ends with a period.
I have an older brother and a younger sister.
An interrogative sentence is... | 2,080 |
<|im_start|>user
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Answer Choices: (A) (2x + 3y) 2 (B) (2y – x) 2 + y(16x + 5y) (C) 4x(x + 2y) + y(4x + 9y) (D) (2x + 2y) 2 + y(4x + 5y) (E) (2x – y) ... | 47,717 |
<|im_start|>user
John was thrice as old as Tom 6 years ago. John will be 15/13 times as old as Tom in 6 years. How old is Tom today?
Answer Choices: (A) 5 (B) 7 (C) 9 (D) 11 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
J-6 = 3(T-6), so J = 3T-12
J+6 = 15/13 * (T+6)
13J + 78 = 15T + 90
13(3T-12) + 78 = 15T ... | 55,863 |
<|im_start|>user
Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digits by 3. If the number is increased by 18, the results is the same as the number formed by reversing the digits. Find the next immediate prime greater than the number.
Answer Choices: (A) 22 (B) 37 (C) 88 (... | 34,111 |
<|im_start|>user
The value of P, when 4864 x 9P2 is divisible by 12, is
Answer Choices: (A) 2 (B) 5 (C) 8 (D) NOne of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Since 4864 is divisible by 4, So 9P2 must be divisible by 3.
∴ (11 + 9) must be divisible by 3.
∴ Least value of P ... | 34,755 |
<|im_start|>user
Oil is poured in a cylindrical barrel at a rate of 5 cubic meters per hour, the level of oil in the tank rises at a rate of 1 meters per hour. Which of the following best approximates the radius of the tank in meters?
Answer Choices: (A) √35/22 (B) √10/3 (C) 4 (D) 5 (E) 10<|im_end|>
<|im_start|>assista... | 50,571 |
<|im_start|>user
What type of behaviors are triggered by pheromones in moths?
Answer choice: (A) exhibit (B) courtship (C) illuminating (D) peculiar<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 5,293 |
<|im_start|>user
The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Answer Choices: (A) 960 (B) 1005 (C) 1,200 (D) 920 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 48,093 |
<|im_start|>user
3, k, 20, m, 4, n
In the list above, k, m, and n are three distinct positive integers and the average (arithmetic mean) of the six numbers in the list is 8. If the median of the list is 6.5, which of the following CANNOT be the value of k, m, or n ?
Answer Choices: (A) 9 (B) 8 (C) 7 (D) 6 (E) 5<|im_end... | 46,273 |
<|im_start|>user
What values of x satisfy the equation x2/3 + x1/3 – 2 ≤ 0 ?
Answer Choices: (A) – 8 ≤ x ≤ 1 (B) – 1 ≤ x ≤ 8 (C) 1 ≤ x ≤ 8 (D) – 8 ≤ x ≤ 8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let, x1/3 = y. The equation becomes y2 + y – 2 ≤ 0, or y2 + y ≤ 2.
Now, look at th... | 42,603 |
<|im_start|>user
John throws a coin until a series of six consecutive heads or three consecutive tails appears. What is the probability that the game will end after the seventh throw?
Answer Choices: (A) 1/64 (B) 2/16 (C) 3/16 (D) 7/16 (E) 9/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's consider the route... | 31,373 |
<|im_start|>user
Sachin is younger than Rahul by 14 years. If the ratio of their ages is 7:9, find the age of Sachin
Answer Choices: (A) 48 (B) 24.8 (C) 24.21 (D) 24.88 (E) 49<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
If Rahul age is x, then Sachin age is x - 14,
so,
9x - 126 = 7x
2x = 126
x = 63
... | 38,213 |
<|im_start|>user
A couple married in 1980 had two children, one in 1982 and the other in 1984. Their combined ages will equal the years of the marriage in?
Answer Choices: (A) 1986 (B) 1985 (C) 1987 (D) 1988 (E) 1989<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of year = 1+9+8+0 =(18) 1+8 = 9
1+9+8+2 =(20) 2+... | 59,797 |
<|im_start|>user
If shares of two persons in profits are Rs.400 and Rs.600 then ratio of their capitals is
Answer Choices: (A) 3:4 (B) 2:3 (C) 4:3 (D) 1:3 (E) 1:5<|im_end|>
<|im_start|>assistant
<think>
</think>
total profit =1000
ratio=400/600
=2:3
The answer is B<|endoftext|> | 68,966 |
<|im_start|>user
In a coconut grove, (x + 4) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 4) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Answer Choices: (A) 3 (B) 4 (C) 8 (D) 9 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
(x... | 58,479 |
<|im_start|>user
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Answer Choices: (A) 76 (B) 42 (C) 78 (D) 26 (E) 92<|im_end|>
<|im_start|>assistant
<think>
</think>
5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 420... | 81,573 |
<|im_start|>user
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two visitors will buy a pack of candy?
Answer Choices: (A) 0.343 (B) 0.147 (C) 0.189 (D) 0.063 (E) 0.027<|im_end|>
<|im_start|>assistant
<think>
</thin... | 33,054 |
<|im_start|>user
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 5, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0?
Answer Choices: (A) 1/12 (B) 1/6 (C) 1/4 (D) 1/3 (E) 1/2<|im_end|>
<|im_start|>assistant
<... | 3,502 |
<|im_start|>user
Three grades of milk are 1 percent, 2 percent and 5 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 3 percent grade, what is x in terms of y and z?
Answer Choices: (A) y + 3z (B) (y +... | 40,802 |
<|im_start|>user
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled?
Answer Choices: (A) 80 (B) 81 (C) 82 (D) 83 (E) 84<|im_end|>
... | 84,439 |
<|im_start|>user
What is the smallest positive integer x such that 120-x is the cube of a positive integer?
Answer Choices: (A) 10 (B) 6 (C) 5 (D) 0 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Given 130-x is a perfect cube
so we will take 125 = 5*5*5
130-x = 125
x = 130-125 = 5
correct option is C
The answ... | 34,463 |
<|im_start|>user
Arun house area is the 10% more than of Akash house .if Akash House area is 144 Sqr m .then what is the area of Arun house?
Answer Choices: (A) 138.4 sq m (B) 148.4 sq m (C) 158.4 sq m (D) 168.4 sq m (E) 178.4 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
arun house=akash house area+10% askas... | 29,985 |
<|im_start|>user
In what time will a train 200 metres long cross an electric pole, if its speed be 124 km/hr?
Answer Choices: (A) 4.8 sec (B) 5.9sec (C) 5.0sec (D) 5.4sec (E) 5.8sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed = (124 x 5 /18) m/sec
= 34.44 m / sec
Time taken = (200 /34.44) sec
= 5.... | 66,135 |
<|im_start|>user
6x − 24 = 6y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
Answer Choices: (A) Exactly one (B) Exactly three (C) Exactly two (D) More than three (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
6x − 24 = 6y
=> 6x - 6y = 24
=> x- y =4 -... | 88,751 |
<|im_start|>user
he average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Answer Choices: (A) 52.2 (B) 59.5 (C) 52.8 (D) 52.5 (E) 52.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the marks for the class of 30 students = 30... | 58,690 |
<|im_start|>user
If n = 14p, where p is a prime number 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>
If n = 14p, where p is a prime number greater than 2, how many ... | 22,471 |
<|im_start|>user
80 + 5 * 12 / (180/3) = ?
Answer Choices: (A) 23 (B) 78 (C) 27 (D) 61 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
80 + 5 * 12 / (180/3) = 80 + 5 * 12 / (60)
= 80 + (5 * 12)/60 = 80 + 1 = 81.
The answer is E<|endoftext|> | 44,651 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
During peer review, you read and respond to a fellow student's writing. While there are many methods and strategies that you can use for reviewing a text, it is generally helpful to frame your suggestions in concrete and con... | 1,284 |
<|im_start|>user
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 2, 3, 4, 5, or 6 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. ... | 67,372 |
<|im_start|>user
. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Answer Choices: (A) 17 1/8 (B) 17 1/1 (C) 17 1/7 (D) 17 1/9 (E) 17 1/2<|im_end|>
<|im_start|>a... | 16,306 |
<|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 W at least one of the shirts he draws will be blue?
Answer Choices: (A) 25/153 (B) 28/153 (C) 5/17 (D) 4/9 (E) W=12/17<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at leas... | 53,010 |
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