text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer Choices: (A) 22 (B) 28 (C) 25 (D) 77 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 sec
The answer is C... | 44,938 |
<|im_start|>user
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 10)%. In terms of x, how many species of bacteria will the group be able to model?
Answer Choic... | 48,306 |
<|im_start|>user
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Answer Choices: (A) Rs. 258 (B) Rs. 270 (C) ... | 31,619 |
<|im_start|>user
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 6 buckles is how many times that of 5 buckles and 6 buttons?
Answer Choices: (A) 7/15 (B) 2/5 (C) 8/15 (D) 3/5 (E... | 10,481 |
<|im_start|>user
Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
Answer Choices: (A) 381 (B) 36 (C) 84 (D) 180 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three people be A, B, and C.
If 1 person gets no obje... | 84,189 |
<|im_start|>user
P and Q invested in a shop. The profits were divided in the ratio of 4 : 6 respectively. If P invested Rs. 55,000, the amount invested by Q is:
Answer Choices: (A) 48000 (B) 40000 (C) 35000 (D) 60000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose Q invested Rs. y. Then, 50000/y = 4... | 64,188 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 4,001 |
<|im_start|>user
A person borrows Rs. 4000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Answer Choices: (A) 100 rs (B) 80 rs (C) 160 rs (D) 180 rs (E) 200 rs<|im_end|>
<|im_start|>assistant
<think>
</think>
Gain in 2... | 42,166 |
<|im_start|>user
My 5 sons are enrolled in an army's platoon of 80 men. The General is choosing randomly 2 men to a suicide mission. What is the probability of both of the selected men will be two of my sons?
Answer Choices: (A) 1/80 (B) 2/80 (C) 5/80 (D) 1/316 (E) 2/316<|im_end|>
<|im_start|>assistant
<think>
</... | 64,342 |
<|im_start|>user
A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, three boggies were detached. The train now crosses a telegraph post in
Answer Choices: (A) 18 sec (B) 12 sec (C) 15 sec (D) 20 sec (E) 13.5 sec<|im_end|>
<|im_start|>assista... | 21,334 |
<|im_start|>user
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Answer Choices: (A) 79 (B) 56 (C) 81 (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's digit be x and unit's digit be y.
... | 52,258 |
<|im_start|>user
A train passes a station platform in 36 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) 120 m (B) 240 m (C) 300 m (D) 120 m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed... | 26,866 |
<|im_start|>user
What weak base is applied as an agricultural fertilizer in its pure form and is diluted to make a household cleanser?
Answer choice: (A) vinegar (B) ammonia (C) nitrogen (D) carbon monoxide<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 4.7 Ammonia is a weak base used in a variety of applica... | 7,877 |
<|im_start|>user
If each side of a square is increased by 25%, find the percentage change in its area?
Answer Choices: (A) 28.88 (B) 56.25 (C) 22.89 (D) 29.18 (E) 21.21<|im_end|>
<|im_start|>assistant
<think>
</think>
let each side of the square be a , then area = a x a
As given that The side is increased by 25%, the... | 43,863 |
<|im_start|>user
At a certain restaurant, 30 percent of the servers reported their tips, while 40 percent of the servers who were tipped didn't report their tips. What percent of the servers were tipped?
Answer Choices: (A) 30% (B) 60% (C) 50% (D) 70% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
Statement... | 93,830 |
<|im_start|>user
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 70% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Answer Cho... | 71,979 |
<|im_start|>user
(7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5) = ?
Answer Choices: (A) 1 (B) 1 / 5 (C) 15 / 11 (D) 3 / 11 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Given expression = (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5)
= (14 + 1) / (10 + 1)
=15 / 11
Option: C
The answer is C<|endoftext|> | 36,561 |
<|im_start|>user
If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in
Answer Choices: (A) 2 days (B) 1 day (C) 4 days (D) 3 days (E) 2 1/5 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m
No. of days requi... | 38,402 |
<|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... | 706 |
<|im_start|>user
What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
Answer Choices: (A) 6400 (B) 4346 (C) 5674 (D) 7674 (E) 6576<|im_end|>
<|im_start|>assistant
<think>
</think>
(A)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.
The answer is A<|endoftext|> | 38,568 |
<|im_start|>user
A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Answer Choices: (A) 4.5 hrs (B) 5 hrs (C) 6.5 hrs (D) 7.25 hrs (E) 11.25 hrs<|im_end|>
<|im_start|>assistant
... | 29,478 |
<|im_start|>user
There are 400 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Answer Choices: (A) 50 (B) 100 (C) 150 (D) 200 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 396 managers and 4 others. The 4 others would c... | 66,142 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Answer Choices: (A) 18 (B) 16 (C) 26 (D) 17 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1500 ---- 270
100 ---- ? => 18%
The answer is A<|endoftext|> | 63,492 |
<|im_start|>user
25 onions on a scale weigh 5.12 kg. When 3 onions are removed from the scale, the average weight of the 22 onions is 200 grams. What is the average weight (in grams) of the 3 onions which were removed?
Answer Choices: (A) 200 (B) 220 (C) 240 (D) 260 (E) 280<|im_end|>
<|im_start|>assistant
<think>
</th... | 73,178 |
<|im_start|>user
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $3,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same ... | 62,113 |
<|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... | 4,998 |
<|im_start|>user
A certain manufacturer sells its products to stores in 110 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of... | 78,324 |
<|im_start|>user
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is
Answer Choices: (A) 0.005 (B) 0.002 (C) 0.001 (D) 0.0005 (E) 0.0002<|im_end|>
<|im_start|>assistant
<think>
... | 69,178 |
<|im_start|>user
Andrew started saving at the beginning of the year and had saved $160 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he s... | 9,069 |
<|im_start|>user
The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money?
Answer Choices: (A) 11 (B) 27 (C) 28 (D) 12 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose A invested Rs.11 f... | 14,977 |
<|im_start|>user
A container holds 4 quarts of diesel and 4 quarts of petrol. How many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol?
Answer Choices: (A) 4/3 (B) 5/3 (C) 7/3 (D) 8/3 (E) 10/3<|im_end|>
<|im_start|>assistant
<think>
</think>
An alter... | 87,910 |
<|im_start|>user
If a, q, and c are consecutive even integers and a < q < c, all of the following must be divisible by 4 EXCEPT
Answer Choices: (A) a + c (B) q + c (C) ac (D) (bc) /2 (E) (abc) /4<|im_end|>
<|im_start|>assistant
<think>
</think>
I did get the correct answer within 80 seconds and it was not by luck eit... | 86,613 |
<|im_start|>user
A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (5D) at a speed of (2V), then a distance of (10D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
Answer Choices: (A) 3D/V (... | 27,535 |
<|im_start|>user
The average age of 32 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) 36 (C) 47 (D) 51 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Age of the teacher = ( 33 × 15... | 30,919 |
<|im_start|>user
If m and n are positive integers and m^2 + n^2 = 20, what is the value of m^3 + n^3?
Answer Choices: (A) 72 (B) 224 (C) 320 (D) 512 (E) 1,600<|im_end|>
<|im_start|>assistant
<think>
</think>
You need to integers which squared are equal 20.
Which could it be ? Let's start with the first integer:
1^2 =... | 10,779 |
<|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... | 4,129 |
<|im_start|>user
How many years will it take my savings account initial deposit to double given that I receive just 2% per annum simple interest on the deposited money.
Answer Choices: (A) 50 (B) 45 (C) 55 (D) 35 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*2*R)/100
100P = P*2*R
100 = 2R
Therefore R... | 31,830 |
<|im_start|>user
Thrombocytes are more commonly known by what name?
Answer choice: (A) chromosomes (B) molecules (C) droplets (D) platelets<|im_end|>
<|im_start|>assistant
<think>
</think>
Platelets and Coagulation Factors Blood must clot to heal wounds and prevent excess blood loss. Small cell fragments called plate... | 1,202 |
<|im_start|>user
The average age of all the student of a class is 18 years. The average age of boys of the class is 20 years and that of the girls is 15 years. If the number of girls in the class is 20, then find the number of boys in the class.
Answer Choices: (A) 15 (B) 45 (C) 30 (D) 50 (E) 60<|im_end|>
<|im_start|>a... | 71,404 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 3,015 |
<|im_start|>user
he two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Answer Choices: (A) 76 Kmph (B) 68 Kmph (C) 87 Kmph (D) 56 Kmph (E) 10 Kmph<|im_end|>
... | 75,889 |
<|im_start|>user
On a test, students receive 2 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one questio... | 31,901 |
<|im_start|>user
A shopkeeper fixes the marked price of an item 30% above its cost price. The percentage of discount allowed to gain 8% is
Answer Choices: (A) 15.92% (B) 16.92% (C) 17.92% (D) 18.92% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the cost price = Rs 100
then, Marke... | 83,311 |
<|im_start|>user
How many integers between 7000 and 8000 that have distinct digits and increase from left to right ?
Answer Choices: (A) 30 (B) 48 (C) 60 (D) 20 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the numbers must be distinct and increasing from left to right,
The only arrangements we could... | 84,492 |
<|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... | 2,756 |
<|im_start|>user
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings are divisible by 11?
Answer Choices: (A) 9x + 4y (B) x + y + 4 (C) 4x - 9y (D) 4x + 6y (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
By hit and trial method, we ge... | 76,696 |
<|im_start|>user
A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 35 limes are used, how many oranges are needed?
Answer Choices: (A) 2 (B) 5 (C) 10 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
70%= 35 fruit
100%=50 fruit
10% of 50 fruit=5 f... | 72,496 |
<|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.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 2,998 |
<|im_start|>user
From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 72 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning
Answer Choices: (A) 20 (B) 10 (C) 30 (D) 55 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume... | 50,608 |
<|im_start|>user
Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end?
Answer Choices: ... | 82,829 |
<|im_start|>user
The perimeter of a square is 72 m. Find the area of the square.
Answer Choices: (A) 161 m². (B) 324 m². (C) 166 m². (D) 169 m². (E) 273 m².<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of square = 72 m
But perimeter of square = 4 × side
Therefore, 4 × side = 72 m
Therefore, side=... | 53,012 |
<|im_start|>user
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 6 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 4 kilograms of liquid, what percent of this new solution is liquid X?
Answer Choices: (A) 33% (B) 35 1/2% (C) 37% (D) 40% (E)... | 91,741 |
<|im_start|>user
Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 35 km per hour. At what time will Car B be 20 km ahead of Car A?
Answer Choices: (A) 4:00 pm (B) 4:30 ... | 36,999 |
<|im_start|>user
A horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long. Over how much area of the field can it graze?
Answer Choices: (A) 154 cm2 (B) 113 m2 (C) 123 m2 (D) 115 m2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the shaded portion
... | 76,054 |
<|im_start|>user
The water level in a reservoir has been dropping at the rate of 14 inches per day. Exactly 5 days ago, the water level was at w inches. What will be the water level exactly 3 days from now if the rate at which the level is dropping remains the same?
Answer Choices: (A) w − 126 (B) w − 56 (C) w − 112 (D... | 12,398 |
<|im_start|>user
If x, y, and z are positive integers and x^2 = y^2 + z^2, which of the following must be true?
I. x > z
II. x = y + z
III. y^2 + z^2 is a positive integer
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) I and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2 = y^... | 32,088 |
<|im_start|>user
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Answer Choices: (A) 67 min (B) 45 min (C) 97 min (D) 30 min (E) 16 min<|... | 69,799 |
<|im_start|>user
A contractor hires 100 men to finish a job in 50 days. After 24 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Answer Choices: (A) 20 (B) 18 (C) 16 (D) 13 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</th... | 12,893 |
<|im_start|>user
If 40 sheep eat 40 bags of grass in 40 days. In how many days one sheep will eat one bag of grass?
Answer Choices: (A) 1 (B) 20 (C) 40 (D) 80 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the required number of days be x.
Less sheep, More days (Indirect Proportion)
Less ba... | 59,091 |
<|im_start|>user
A sum of money is sufficient to pay Y's wages for 10 days and Z's wages for 15 days. The same money is sufficient to pay the wages of both for?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total money be $x
Y's 1day work = $ x/10
Z's 1day work... | 62,408 |
<|im_start|>user
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
Answer Choices: (A) 87.0 (B) 87.5 (C) 87.2 (D) 87.1 (E) 87.4<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed and time are inversely proportional (when dist... | 88,911 |
<|im_start|>user
The average of first 9 prime numbers is?
Answer Choices: (A) 10.11 (B) 11.11 (C) 12.11 (D) 13.11 (E) 14.11<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 10 prime no. = 100
Average = 100/9 = 11.11
The answer is B<|endoftext|> | 68,013 |
<|im_start|>user
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the width of this rectangle.
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
L * W = 300 : area , L is the length and W is the width.
2 L + 2 W =... | 48,702 |
<|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 sec (B) 16 sec (C) 13 sec (D) 67 sec (... | 79,044 |
<|im_start|>user
What gland is located in the neck, where it wraps around the trachea?
Answer choice: (A) adrenal gland (B) salivary gland (C) pituitary gland (D) thyroid gland<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 17.12 Thyroid Gland The thyroid gland is located in the neck where it wraps around th... | 8,710 |
<|im_start|>user
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of :
Answer Choices: (A) Rs. 3100 (B) Rs. 6240 (C) Rs. 6500 (D) Rs. 9600 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
To obtain Rs. 10, investment = Rs. 96.
To obtain Rs. 650, ... | 66,114 |
<|im_start|>user
When n is divided by 27, the remainder is 4. What is the remainder when n + 16 is divided by 7?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume n = 23
Remainder (n/27) = 4
n+16 = 39
Remainder (39/7) = 4
Option C
The answer is C<|endoftext|> | 84,453 |
<|im_start|>user
If it takes a tub 4 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
Answer Choices: (A) 48 seconds (B) 1 minute, 12 seconds (C) 1 minute, 36 seconds (D) 2 minutes, 14 seconds (E) 4 minutes, 12 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
If 5/... | 23,209 |
<|im_start|>user
What is the ratio whose terms differ by 40 and the measure of which is 2⁄7?
Answer Choices: (A) 16 : 56 (B) 14 : 56 (C) 15 : 56 (D) 16 : 72 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ratio be x: (x + 40).Then,
x/(x+40)=2/7 ⇒ 2x + 80 ⇒ x = 16.
∴ Required ratio = 16 : 56... | 87,189 |
<|im_start|>user
In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 29th in an arithmetic progression if the sum of the 13th and 17th terms of the sequence is 102?
Answer Choices: (A) 43 (B) 47 (C) 51 (D)... | 63,671 |
<|im_start|>user
Of the following, which is greater than 1/2 ?
Indicate ALL such fractions
Answer Choices: (A) 4/9 (B) 4/7 (C) 4/3 (D) 4/2 (E) 4/6<|im_end|>
<|im_start|>assistant
<think>
</think>
One way to deal with fractions is to convert them all to decimals.
In this case all you would need to do is to see which i... | 81,807 |
<|im_start|>user
The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Answer Choices: (A) 17/29 (B) 17/25 (C) 17/265 (D) 17/252 (E) 17/21<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 5... | 5,656 |
<|im_start|>user
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
Answer Choices: (A) 1 (B) 9 (C) 4 (D) 6 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
33 + 43 + 53 = a3 => a
= 6
The answer is D<|endoftext|> | 14,547 |
<|im_start|>user
Kumar started from Chennai at x hrs y minutes and travelled to Vellore. He reached Vellore at y hrs z minutes. If the total travel time was z hrs and x minutes, his starting time in Chennai could have been ______ (Assume clock format to be 0 to 24 hrs).
Answer Choices: (A) 02:08 hrs (B) 13:03 hrs (C) 0... | 64,416 |
<|im_start|>user
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Answer Choices: (A) 19 (B) 17 (C) 13 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
7*5: 5*x = 7:10
x = ... | 74,099 |
<|im_start|>user
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Answer Choices: (A) 7 liters (B) 15 liters (C) 10 liters (D) 9 liters (E) 19 liters<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of liters of wate... | 76,171 |
<|im_start|>user
How many multiples of 3 are less than 6500, and also multiples of 7?
Answer Choices: (A) 104 (B) 208 (C) 310 (D) 340 (E) 454<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM of 3 & 7 = 21
Tried dividing 6500 by 21
Got quotient 309.5'So C is
The answer is C<|endoftext|> | 64,239 |
<|im_start|>user
A number increased by 10% gives 660. The number is?
Answer Choices: (A) 200 (B) 300 (C) 500 (D) 600 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = TOTAL=100% ,INCREASE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 10 % = 110 %
110 % -------> 660 (110 × ... | 6,146 |
<|im_start|>user
How many three digit numbers contain the digit 5 at least once?
Answer Choices: (A) 52 (B) 128 (C) 252 (D) 648 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
The question is basically asking how many numbers between 100-999 contain at least one digit as 5.
Let ABC be a 3 digit number A can ... | 71,935 |
<|im_start|>user
Distance between A and B is 54 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 3 mph. While the other man traveled with varying speeds as follows: In first hour his speed was 2 mph, in the second hour i... | 68,593 |
<|im_start|>user
In a certain group of 10 developers, 4 developers code only in Python and the rest program in either Ruby on Rails or PHP - but not both. If a developer organization is to choose a 3-member team, which must have at least 1 developer who codes in Python, how many different programming teams can be chose... | 8,992 |
<|im_start|>user
A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 500km less in time. Find his speed?
Answer Choices: (A) 120km/hr (B) 130km/hr (C) 140km/hr (D) 150km/hr (E) 100km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed be x km/hr
50x-50* 9/10 *x = 500
50x... | 90,979 |
<|im_start|>user
Sanjay invested an amount of ` 16,000 for two years on compound interest and received an amount of ` 17,640 on maturity. What is the rate of interest per annum?
Answer Choices: (A) 4% (B) 5% (C) 8% (D) 9% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
The extra money for two years... | 93,280 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 506 |
<|im_start|>user
A ladder 18 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 6 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Answer Choices: (A) 12.5 (B) 15 (C) 18 (D) 19 (E) 25<|im_end... | 288 |
<|im_start|>user
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 23 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Answer Choices: (A) b=7,t=3 (B) b=5,t=3 (C) b=8,t=2 (D) b=2,t=5 (E) b=6,t=4<|i... | 46,857 |
<|im_start|>user
a percent of b is c and c percent of d is e, then a is what percent of e?
(a, b, c, d, e > 0)
Answer Choices: (A) bd/1000 (B) 10000/bd (C) 10000 bd (D) bd/1000 (E) 1000000/bd<|im_end|>
<|im_start|>assistant
<think>
</think>
Given:
a/100∗b=c
c/100∗d=e
substitute c in 2nd equation with LHS of the first... | 25,935 |
<|im_start|>user
Calculate the share of Y , if Rs. 690 is divided among X, Y and Z in the ratio 5 : 7 : 11?
Answer Choices: (A) 190 (B) 160 (C) 120 (D) 151 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
5 + 7 + 11 =23
690/23=30
so Y's share=5*30
=150
The answer is E<|endoftext|> | 96,133 |
<|im_start|>user
Solutions can also become supersaturated , where the amount of solute dissolved exceeds what?
Answer choice: (A) part solubility (B) its dissolution (C) its concentration (D) its solubility<|im_end|>
<|im_start|>assistant
<think>
</think>
Solutions can also become supersaturated , where the amount of... | 10,082 |
<|im_start|>user
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Answer Choices: (A) 11 (B) 10 (C) 18 (D) 16 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
7*5: 5*x = 7:10
x = ... | 61,491 |
<|im_start|>user
A certain company plans to sell Product X for p dollars per unit, where p is randomly chosen from all possible positive values not greater than 100. The monthly manufacturing cost for Product X (in thousands of dollars) is 12 - p, and the projected monthly revenue from Product X (in thousands of dollar... | 5,733 |
<|im_start|>user
How does the lithosphere move on the asthenosphere?
Answer choice: (A) Sinks. (B) Floats or moves about. (C) Solidifies. (D) Dissolves.<|im_end|>
<|im_start|>assistant
<think>
</think>
The lithosphere is thought to float or move on the slowly flowing asthenosphere.
The answer is B<|endoftext|> | 192 |
<|im_start|>user
What percent is 70 of 280?
Answer Choices: (A) 12 % (B) 25 % (C) 26 % (D) 27 % (E) 28 %<|im_end|>
<|im_start|>assistant
<think>
</think>
70/280 = 1/4
1/4 × 100 = 25 %
B
The answer is B<|endoftext|> | 28,389 |
<|im_start|>user
A can finish a work in 72days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Answer Choices: (A) 30days (B) 12days (C) 6days (D) 7days (E) 8days<|im_end|>
<|im_start|>assistant
<think>
</think>
B+C 1day work = 1/9 + 1/12 =... | 73,477 |
<|im_start|>user
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Answer Choices: (A) 10 (B) 99 (C) 17 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2420 --- 242
100 --- ? => 10%
The answer is A<|endoftext|> | 13,825 |
<|im_start|>user
If Tim had lunch at $60.80 and he gave 20% tip, how much did he spend?
Answer Choices: (A) $30.60 (B) $60.60 (C) $72.96 (D) $40.60 (E) $50.60<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is 20% of what he paid for lunch. Hence
tip = 20% of 60.80 = (20/100)*60.80 = $12.16
Total spent
60.80... | 1,964 |
<|im_start|>user
The mean of 1^3,2^3,3^3,4^3,5^3 is?
Answer Choices: (A) 30 (B) 45 (C) 50 (D) 60 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
1^3+2^3+3^3+-----+n^3 = [n(n+1)/2]^2
1^3+2^3+3^3+-----+5^3 = (5*6/2)^2 = 225
Required average is = 225/5 = 45
The answer is B<|endoftext|> | 19,462 |
<|im_start|>user
In a certain city each of 17 Girl Scout troops is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors. If each troop has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a ... | 57,836 |
<|im_start|>user
What will be the day of the week on 1st January, 2010 ?
Answer Choices: (A) Friday (B) Saturday (C) Sunday (D) Monday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
2000 years have 2 odd days.
= 11 odd days = 4 odd days.
1st January, 2010 has 1 odd day. Total number of odd days = ... | 74,724 |
<|im_start|>user
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account wh... | 17,061 |
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