text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Answer Choices: (A) 40 (B) 44 (C) 48 (D) 47 (E) 50<|im_end|>
<|im_start|>assistant
<... | 17,115 |
<|im_start|>user
The faces of storage box are to be painted by 6 different colors. In how many ways can be this be done?
Answer Choices: (A) A.720 (B) B.256 (C) C.1 (D) D.12 (E) E.36<|im_end|>
<|im_start|>assistant
<think>
</think>
If I have to paint 6 sides with 6 different colour...
First face can have 6c1 options,... | 32,450 |
<|im_start|>user
Three numbers are in the ratio 4 : 5 : 6 and their average is 30 . The largest number is:
Answer Choices: (A) 28 (B) 32 (C) 36 (D) 42 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 4x, 5x and 6x. Therefore,
(4x+5x+6x)/3 = 30
15x = 90
x = 6
Largest number = 6x ... | 18,376 |
<|im_start|>user
A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Answer Choices: (A) 48 min. past 12. (B) 46 min. past 12. (C) 45 min. past 12. (D) 47 min. past 12. (E) 49 min. past 12.<|im_end|>
<|im_start|>assistant
<thi... | 45,702 |
<|im_start|>user
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m, what is its area?
Answer Choices: (A) 2510 (B) 2535 (C) 3060 (D) 2515 (E) 2520<|im_end|>
<|im_start|>assistant
<think>
</think>
length = breadth +23. Therefore,
4× breadth +2×23=226 m
⇒ breadth =45 m
l... | 31,091 |
<|im_start|>user
The cube root of .000343 is
Answer Choices: (A) 0.7 (B) 0.07 (C) 0.007 (D) 7 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(.000343)1/3
= (343/106)1/3
= (7*7*7/ 102*102*102)1/3
= 7/102
= 7/100 = 0.07
The answer is B<|endoftext|> | 19,467 |
<|im_start|>user
1/5 of a number is equal to 5/8 of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the second number ?
Answer Choices: (A) 125 (B) 70 (C) 40 (D) 25 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Let first and second numbers are p... | 64,353 |
<|im_start|>user
A car going at 30 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Answer Choices: (A) 45 (B) 50 (... | 58,919 |
<|im_start|>user
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.
Answer Choices: (A) 125 (B) 225 (C) 325 (D) 425 (E) None of these<|im_end|>
<|i... | 86,191 |
<|im_start|>user
Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6, 7}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Answer Choices: (A) 5/32 (B) 7/64 (C) 9/64 (D) 53/512 (E) 81/... | 61,849 |
<|im_start|>user
A train is moving at 6/7 of its usual speed. The train is 30 minutes too late. What is the usual time for the train to complete the journey?
Answer Choices: (A) 1 hour (B) 30 minutes (C) 3 hours (D) 2 hours 30 min (E) 2 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
new time = d / (6v/7) = 7/... | 88,708 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The title of a book, movie, play, TV show, magazine, or newspaper should be in italics. If you write it by hand, it can be underlined instead.
A Midsummer Night's Dream
The title of a poem, song, article, or short story shou... | 1,427 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 4,613 |
<|im_start|>user
Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 65 marks. How many sums did Sandy get correct?
Answer Choices: (A) 19 (B) 21 (C) 23 (D) 25 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the correct sums and (30-x) ... | 38,302 |
<|im_start|>user
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 7 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
Answer Choices: (... | 87,676 |
<|im_start|>user
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
Answer Choices: (A) 58 kg (B) 60 kg (C) 64 kg (D) 70 kg (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
... | 95,995 |
<|im_start|>user
A jar contains 6 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Answer Choices: (A) 2/7 (B) 5/7 (C) 4/7 (D) 3/15 (E) 3/14<|im_end|>
<|im_start|>assistant
<think>
</think>
P(1st black, 2nd white) = 6/8*2/7 = 12/56;
P(1st... | 20,710 |
<|im_start|>user
A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
Answer Choices: (A) 14700 (B) 15700 (C) 16700 (D) 18700 (E) 24700<|im_end|>
<|im_start|>assistant
<think>
</think>
Tot... | 72,164 |
<|im_start|>user
Concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated apples juice, at the most, can fit into 3 wooden boxes?
Answe... | 35,711 |
<|im_start|>user
The last time Meena bought Diwali cards, he found that the three types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 each. As Meena wanted 30 cards, she took ten each of three cards , putting down the exact number of 10 rupees notes on the counter payment. How many notes did Meena give?
... | 69,374 |
<|im_start|>user
Where is the pressure of gases in the atmosphere at its greatest?
Answer choice: (A) stratosphere (B) sea level (C) core (D) mountain ranges<|im_end|>
<|im_start|>assistant
<think>
</think>
The pressure of gases in the atmosphere is greatest at sea level and decreases rapidly as altitude increases.
T... | 811 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 2,287 |
<|im_start|>user
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Answer Choices: (A) 239 (B) 277 (C) 225 (D) 88 (E) 232<|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 ... | 66,492 |
<|im_start|>user
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Answer Choices: (A) Rs 7000 (B) R... | 48,553 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 157 m (B) 717 m (C) 142 m (D) 150 m (E) 152 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(60 * 5/18) m/sec
= (50/3) m/sec Length of the train
= (Speed x Time) = (50/3... | 43,082 |
<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Answer Choices: (A) 6.25 (B) 7 (C) 7.25 (D) 7.5 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
So we calculate the runs in the first 10 ov... | 65,348 |
<|im_start|>user
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
Answer Choices: (A) 55% (B) 56% (C) 57% (D) 58% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total number of... | 58,376 |
<|im_start|>user
What is the term used to describe the four planets closest to the sun?
Answer choice: (A) Gas giants. (B) Inner planets. (C) Terrestrial planets. (D) Outer planets.<|im_end|>
<|im_start|>assistant
<think>
</think>
The term 'inner planets' refers to the four planets closest to the sun.
The answer is B... | 126 |
<|im_start|>user
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Answer Choices: (A) 124345 (B) 234545 (C) 165767 (D) 144656 (E) 220030<|im_end|>
<|im_start|>assistant
<think>
</think>
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
E
The an... | 55,513 |
<|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.
Temperature can be written with units of degrees Fahrenheit (°F) or Celsius (°C). Use the list be... | 3,454 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 9km/h (C) 10km/h (D) 12km/h (E) 14km/h<|im_end|>
<|im_start|>assistant
<... | 54,678 |
<|im_start|>user
Mr. Thomas investe d an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Answer Choices: (A) Rs.6400 (B) 2878 (... | 38,616 |
<|im_start|>user
By what process does the haploid gametophyte produce the gametes?
Answer choice: (A) meiosis (B) angiogenesis (C) Spermatogenesis (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
The haploid gametophyte produces the gametes, or sperm and egg, by mitosis. Remember, gametes are haploid, hav... | 8,572 |
<|im_start|>user
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Answer Choices: (A) 2277 (B) 2987 (C) 2799 (D) 1277 (E) 9680<|im_end|>
<|im_start|>assistant
<think>
</think>
A= P{1 + R/100}n
=> 8000{1 + 10/100}2 = Rs.9680
The answer is E<|endof... | 31,212 |
<|im_start|>user
A cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Answer Choices: (A) 33 (B) 88 (C) 60 (D) 99 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
1/10 - 1/x = 1/12
x = 60
The answer is C<... | 50,319 |
<|im_start|>user
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 9x +3 = 0?
Answer Choices: (A) 28.3 (B) 1.45 (C) 2.78 (D) 6.84 (E) 7.23<|im_end|>
<|im_start|>assistant
<think>
</think>
a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 - 2ab]/ab
a + b = -9/1 = -9
ab = 3/... | 42,953 |
<|im_start|>user
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 70, the dividend is:
Answer Choices: (A) A) 5322 (B) B) 5330 (C) C) 12320 (D) D) 53400 (E) E) 53420<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisor = (5 * 70) = 350
= 10 * Quotient = Di... | 22,862 |
<|im_start|>user
What is his percentage profit made by Elvis if he purchased 25 dozen belts at Rs. 35 per dozen. He sold 10 dozens at 15% profit and the remaining 15 dozens with 16% profit?
Answer Choices: (A) 18% (B) 12% (C) 16% (D) 15% (E) 19%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
C.P of 25... | 52,593 |
<|im_start|>user
What is the term for water that falls from clouds?
Answer choice: (A) lightning (B) atmosphere (C) wind (D) precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Precipitation is water that falls from clouds. It may fall as liquid or frozen water. Types of frozen precipitation include snow, ... | 10,404 |
<|im_start|>user
Twenty people at a meeting were born during the month of September, which has 30 days. The probability that at least two of the people in the room share the same birthday is closest to which of the following?
Answer Choices: (A) 10% (B) 33% (C) 67% (D) 90% (E) 99%<|im_end|>
<|im_start|>assistant
<think... | 34,745 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 4,338 |
<|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... | 5,587 |
<|im_start|>user
Two pipes A&B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.
Answer Choices: (A) 8 min (B) 3 min (C) 21 min (D) 23 min (E) 24 min<|im_end|>
<|im_start|>assistant
<think>
</think>... | 14,732 |
<|im_start|>user
What type of reaction causes two substances to combine to make a single substance?
Answer choice: (A) composition reaction (B) component reaction (C) spontaneous mutation (D) metabolism<|im_end|>
<|im_start|>assistant
<think>
</think>
In this equation, two substances combine to make a single substanc... | 6,159 |
<|im_start|>user
Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 5 years?
Answer Choices: (A) 45 years (B) 42 years (C) 40 years (D) 37 years (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
2+3+4=9
4*(90/9)=40yrs
after 5yrs=4... | 66,700 |
<|im_start|>user
Kim has 7 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
Answer Choices: (A) 1/13 (B) 1/15 (C) 11/9 (D) 1/10 (E) 1/25<|im_end|>
<|im_start|>assistant
<think>
... | 88,593 |
<|im_start|>user
If q and b are positive numbers, and q^3 + b^3 = 75, then the greatest possible value of q is between:
Answer Choices: (A) 0 and 3 (B) 3 and 5 (C) 4 and 5 (D) 5 and 7 (E) 6 and 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Yes the question is ambiguous, and the answer is certainly not C between ... | 50,568 |
<|im_start|>user
On the number line, if x is halfway between -4 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Answer Choices: (A) -1 (B) -1/2 (C) 0 (D) 1/2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
x= 0 and y = 2.
The answer is E<|endoftext|> | 28,063 |
<|im_start|>user
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Answer Choices: (A) 20:64:49 (B) 49:20:64 (C) 49:64:20 (D) 64:49:20 (E) 20:49:64<|im_end|>
<|im_start|>assistant
<think>
</t... | 15,623 |
<|im_start|>user
What is the area of a square field whose sides have a length of 13 meters?
Answer Choices: (A) 225 sq m (B) 169 sq m (C) 128 sq m (D) 267 sq m (E) 231 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
13 * 13 = 169 sq m
The answer is B<|endoftext|> | 77,320 |
<|im_start|>user
A certain psychologist charges $40 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $375, what is the total charge to a patient who receives only 2 hours of therapy ?
Answer Choices: (A) $120 (B) $135 (C) $150 (D) ... | 96,643 |
<|im_start|>user
If a - b =4 and
a2+b2=52
, find the value of ab.
Answer Choices: (A) 8 (B) 26 (C) 18 (D) 42 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We know
2ab=(a2+b2)−(a−b)2
2ab=52−16=36
=>ab=18
Option C
The answer is C<|endoftext|> | 30,382 |
<|im_start|>user
an article with cost price of 245 is sold at 34% profit. what is the selling price?
Answer Choices: (A) 328 (B) 320 (C) 300 (D) 207 (E) 310<|im_end|>
<|im_start|>assistant
<think>
</think>
sp=1.34*245=328
The answer is A<|endoftext|> | 3,423 |
<|im_start|>user
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Answer Choices: (A) 0 and 3/20 (B) 3/20 and 1/5 (C) 1/5 and 1/4 (D) 1/4 and 3/10 (E) 3/11 and 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
E. 3/11 and 1/2
Definitely not. I am al... | 27,310 |
<|im_start|>user
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 70 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
Answer Choices:... | 63,959 |
<|im_start|>user
Which of the following points is closest to line y=x
Answer Choices: (A) (2, -1) (B) (2, 4) (C) (-1, 1) (D) (1, 2) (E) (-2, 0) <|im_end|>
<|im_start|>assistant
<think>
</think>
Attachment:
m12-20.pngAs you can see point (1, 2) is the closest to line y=x.
The answer is D<|endoftext|> | 93,876 |
<|im_start|>user
There are 21 balls in a box: 8 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
Answer Choices: (A) 1/13 (B) 4/13 (C) 3/13 (D) 5/19 (E) 6/13<|im_end|>
<|im_start|>... | 32,339 |
<|im_start|>user
Train W leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Answer Choices: (A) 8:15 am (B) 8:45 am (C) ... | 40,230 |
<|im_start|>user
If everything in a system stays the same but the pressure deceases, gas bubbles will change in what way?
Answer choice: (A) they multiply (B) they get bigger (C) they pop (D) they get smaller<|im_end|>
<|im_start|>assistant
<think>
</think>
Gas bubbles get bigger when they are under less pressure.
Th... | 9,487 |
<|im_start|>user
When 30 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Answer Choices: (A) 40 (B) 44 (C) 46 (D) 48 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x. Then,
x -30 = 7x/12 => x - 7x/12 = 30
5x/12 =... | 20,125 |
<|im_start|>user
A certain company charges $25 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $25 plus $6 per pound. If the company charged $36 to ship a certain package, which of the following was the weight of the package, ... | 2,483 |
<|im_start|>user
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:?
Answer Choices: (A) 40 (B) 60 (C) 80 (D) 67 (E) 30<|im_end|>
<|im_start|>assistant
<... | 64,026 |
<|im_start|>user
Steel, bronze, and brass are good examples of what?
Answer choice: (A) metalloids (B) elements (C) salts (D) alloys<|im_end|>
<|im_start|>assistant
<think>
</think>
Examples of alloys include steel, bronze, and brass.
The answer is D<|endoftext|> | 7,074 |
<|im_start|>user
Is sweat an exocrine or endocrine substance?
Answer choice: (A) exocrine (B) neither (C) both (D) exocrine<|im_end|>
<|im_start|>assistant
<think>
</think>
Epithelial tissue from epithelium. Below this is dermis, thicker and with blood vessels. Two specialized epithelia: • pseudostratified • transiti... | 5,558 |
<|im_start|>user
If y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be
Answer Choices: (A) 2 (B) 5 (C) 6 (D) 7 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
i just tried plugging in the numbers and found out that
6*7350 = 44, 100, which is a square ... | 35,960 |
<|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... | 4,794 |
<|im_start|>user
Every student in a certain classroom was given one colored marble. 1/2 of the students were given a blue marble, 1/3 of the students were given a yellow marble, and all of the other students were given a red marble. After lunch, 1/3 of the students who had blue marbles and 1/4 of the students who had y... | 7,435 |
<|im_start|>user
What is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other?
Answer Choices: (A) 3: 6 (B) 1.5: 1 (C) 3: 1.5 (D) 2: 1 (E) 3: 2<|im_end|>
<|im_start|>assistant
<think>
</think>
d = 1.5d d = d
a√2 = 1.5d a√2 = d
a = 1.5d/√2 a = d/√2 => 1.5: 1
The answer is B<|end... | 72,635 |
<|im_start|>user
The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is?
Answer Choices: (A) 12 (B) 16 (C) 24 (D) 48 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x and 4x. Then, their H.C.F. = x., So, x=4
so, the numbers are 12 and 16.
L.C.M. of 12 and 16=48.
... | 25,894 |
<|im_start|>user
Three faces of a fair die are Yellow, three faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Answer Choices: (A) 1/36 (B) 1/24 (C) 1/32 (D) 1/37 (E) None of these<|im_end|>
<|im_star... | 77,781 |
<|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... | 2,185 |
<|im_start|>user
What is the second class of fish after ray-finned fish?
Answer choice: (A) pine - finned fish (B) spar - finned fish (C) star-finned fish (D) lobe-finned fish<|im_end|>
<|im_start|>assistant
<think>
</think>
There are about 27,000 species of bony fish ( Figure below ), which are divided into two clas... | 6,637 |
<|im_start|>user
20 men can dig a tunnel in 30 days. If after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
A
Remaining work can be completed by 20 men in... | 75,965 |
<|im_start|>user
What process tends to be external in aquatic species and internal in terrestrial species?
Answer choice: (A) infection (B) fertilization (C) pollination (D) migration<|im_end|>
<|im_start|>assistant
<think>
</think>
Aquatic species generally have external fertilization, whereas terrestrial species us... | 8,985 |
<|im_start|>user
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Answer Choices: (A) 12 minutes (B) 17 min (C) 19 min (D) 11 min (E) 16 min... | 28,404 |
<|im_start|>user
? x 12 = 173 x 240
Answer Choices: (A) 3460 (B) 685 (C) 865 (D) 495 (E) 534<|im_end|>
<|im_start|>assistant
<think>
</think>
Let y x 12 = 173 x 240
Then y = (173 x 240) / 12
=3460
The answer is A<|endoftext|> | 37,839 |
<|im_start|>user
If a(a + 2) = 80 and b(b + 2) = 80, where a ≠ b, then a + b =
Answer Choices: (A) -3 (B) -4 (C) -6 (D) -8 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
i.e. if a = 8 then b = -10
or if a = -10 then b = 8
But in each case a+b = -10+8 = -2
The answer is E<|endoftext|> | 55,542 |
<|im_start|>user
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Answer Choices: (A) Rs.1056 (B) Rs.1112 (C) Rs.1182 (D) Rs.992 (E) Rs.702<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(800*3*3)/100 = 72
920 + 72 = 992
The answer... | 53,983 |
<|im_start|>user
A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?
Answer Choices: (A) 25% (B) 18% (C) 20% (D) 40% (E) 45%<|im_end|>
<|im_start|>assistant
<think>
</think>
100(1000-800)/800 = 25%
Profit percentage = 25%
The answer is A<|e... | 57,971 |
<|im_start|>user
Crystallization separates mixtures based on differences in what, which usually increases with temperature?
Answer choice: (A) solubility (B) density (C) viscosity (D) humidity<|im_end|>
<|im_start|>assistant
<think>
</think>
Crystallization separates mixtures based on differences in solubility, a mea... | 5,126 |
<|im_start|>user
The cost of an item was reduced from its usual selling price of $23.99 to $16.99. Which of the following is closest to the percent decrease in the price of the item?
Answer Choices: (A) 17% (B) 21% (C) 24% (D) 29% (E) 42%<|im_end|>
<|im_start|>assistant
<think>
</think>
The price decreased by 23.99 -... | 66,089 |
<|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.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 6,093 |
<|im_start|>user
Which of the numbers below is the odd one out
1,3,7,13,24,21,31.
Answer Choices: (A) 3 (B) 7 (C) 21 (D) 24 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
24 is the odd man.. diff between sucessive no.s are multiples of 2
The answer is D<|endoftext|> | 43,655 |
<|im_start|>user
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Answer Choices: (A) 1.09 (B) 1.6 (C) 1.2 (D) 1.5 (E) 1.1<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 +... | 74,435 |
<|im_start|>user
Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 8 pounds?
Answer Choices: (A) 18 (B) 20 (C) 22 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us denote the weights of the packages in pounds... | 12,079 |
<|im_start|>user
What do vertebrate chordates possess that invertebrate chordates do not?
Answer choice: (A) parasite (B) Thumb (C) backbone (D) Milk production<|im_end|>
<|im_start|>assistant
<think>
</think>
Chordates include vertebrates and invertebrates that have a notochord. Chordates also have a post-anal tail,... | 4,253 |
<|im_start|>user
A is twice as good as B. And together they finish a piece of work in 20days. In how many days will A alone finish the work
Answer Choices: (A) 30 (B) 25 (C) 12 (D) 10 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
(A's 1day work):(B's 1day work) = 2:1
A+B 1day work = 1/20
A's 1day work = (1/... | 28,041 |
<|im_start|>user
A textile manufacturing firm employees 56 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 56 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are ev... | 89,019 |
<|im_start|>user
What number has a 5:1 ratio to the number 10?
Answer Choices: (A) 22 (B) 50 (C) 88 (D) 52 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
5:1 = x: 10
x = 50
The answer is B<|endoftext|> | 63,222 |
<|im_start|>user
A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
Answer Choices: (A) 6:10:5 (B) 5:10:6 (C) 10:5:6 (... | 4,191 |
<|im_start|>user
Find the value of y from (12)^3 x 6^4÷432 = y?
Answer Choices: (A) 5618 (B) 5232 (C) 5889 (D) 5184 (E) 5132<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
D
The answer is D<|endoftext|> | 66,687 |
<|im_start|>user
What is the range of temperatures on Mercury in °C?
Answer choice: (A) -273°C to 373°C. (B) -100°C to 100°C. (C) -173°C to 467°C. (D) 0°C to 500°C.<|im_end|>
<|im_start|>assistant
<think>
</think>
Temperatures on Mercury range from -173°C to 467°C.
The answer is C<|endoftext|> | 152 |
<|im_start|>user
A wolf eats 6 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in three days?
Answer Choices: (A) 11.25 (B) 9.25 (C) 8.5 (D) 7.5 (E) 6.25<|im_end|>
<|im_start|>assistant
<think>
</think>
3/2*6+3/4*3=11.25kg
A
The answer is A<|endoftext|> | 75,267 |
<|im_start|>user
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Answer Choices: (A) 120 sec (B) 198 sec (C) 178 sec (D) 665 sec (E) 276 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Tim... | 14,649 |
<|im_start|>user
If air is called green , green is called blue, blue is called water, sky is called yellow, yellow is called water and water is called water, then what is the color of clear sky ?
Answer Choices: (A) Blue (B) Sky (C) Water (D) Yellow (E) Black<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 91,177 |
<|im_start|>user
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Answer Choices: (A) 10 (B) 99 (C) 787 (D) 62 (E) 22<|im_end|>... | 35,207 |
<|im_start|>user
In a room filled with 6 people, all 6 people have exactly 1 sibling in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Answer Choices: (A) 3/5 (B) 4/5 (C) 5/6 (D) 5/12 (E) 7/12<|im_end|>
<|im_start|>assistant
<think... | 73,850 |
<|im_start|>user
The organizers of a week-long fair have hired exactly nine security guards to patrol the fairgrounds at night for the duration of the event. Exactly four guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different ... | 47,817 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
The protean nature of the diseas... | 1,219 |
<|im_start|>user
Which is the fourth planet from the sun?
Answer choice: (A) mars (B) jupiter (C) mars (D) earth<|im_end|>
<|im_start|>assistant
<think>
</think>
Mars is the fourth planet from the Sun. The Red Planet is the first planet beyond Earth’s orbit.
The answer is C<|endoftext|> | 11,108 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.