text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
nd the area of trapezium whose parallel sides are 20 cm and 16 cm long, and the distance between them is 15 cm?
Answer Choices: (A) 270cm2 (B) 275cm2 (C) 280cm2 (D) 285cm2 (E) 290cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular di... | 85,995 |
<|im_start|>user
12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
Answer Choices: (A) 10 days (B) 9 days (C) 8 days (D) 7 days (E) 6 days<|im_end|>
<|im_start|>assistant
<think>
</think>
total work... | 6,959 |
<|im_start|>user
A company produces 50000 bottles of water everyday. If a case can hold 25 bottles of water .How many cases are required by the company to hold its one day production
Answer Choices: (A) 2000 (B) 4500 (C) 5000 (D) 8000 (E) 9000<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of bottles that ca... | 59,494 |
<|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.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 1,590 |
<|im_start|>user
Find the invalid no.from the following series 3, 8, 15, 31, 63, 127, 255
Answer Choices: (A) 11 (B) 8 (C) 27 (D) 63 (E) 127<|im_end|>
<|im_start|>assistant
<think>
</think>
Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 8 is wrong.
B
The answer is B<|endoftext|> | 7,868 |
<|im_start|>user
What do the inner planets primarily consist of?
Answer choice: (A) Hydrogen and helium. (B) Liquid water and ice. (C) Rock with metallic cores. (D) Gas and dust.<|im_end|>
<|im_start|>assistant
<think>
</think>
The inner planets are composed mainly of rocky material and have metallic cores.
The answe... | 128 |
<|im_start|>user
A tap can fill a tank in 8 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Answer Choices: (A) 5 hr (B) 1 hr 30 min (C) 2 hr 30 min (D) 2 hr (E) 4 hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A tap... | 69,338 |
<|im_start|>user
When positive integer N is divided by positive integer D, the quotient is 16, with a remainder of 7. When N is divided by (D + 2), the quotient is 15 and the remainder is 1. What is the value of N?
Answer Choices: (A) 151 (B) 391 (C) 511 (D) 691 (E) 871<|im_end|>
<|im_start|>assistant
<think>
</think>... | 54,722 |
<|im_start|>user
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Answer Choices: (A) 1:00pm, 220 km (B) 1:00pm, 200km (C) 2:00pm, 200 km... | 36,922 |
<|im_start|>user
If it is true that x > -3 and x < 7, which of the following must be true?
Answer Choices: (A) x > 3 (B) x < -7 (C) x < 3 (D) -3 < x < 7 (E) none of the above.<|im_end|>
<|im_start|>assistant
<think>
</think>
the range is -3 < x < 7
A. x > 3 - no because x can be between -3 < x < 3
B. x < -7 - no beca... | 21,113 |
<|im_start|>user
The HCF of two numbers is 42 and the other two factors of their LCM are 10 and 20. What is the largest number.
Answer Choices: (A) 462 (B) 450 (C) 840 (D) 504 (E) 555<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF of the two numbers = 42
HCF will be always a factor of LCM
42 is fac... | 14,952 |
<|im_start|>user
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 80, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Answer Choices: (A) K... | 89,632 |
<|im_start|>user
100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e.no. 2 )and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?
Answer Choices: (A) 48 (B) 53 (C) 64 (D) 84 (E) 73<|im_end|>
<|im_start... | 25,589 |
<|im_start|>user
The division of a whole number N by 10 gives a quotient of 15 and a remainder of 2. Find N.
Answer Choices: (A) 152 (B) 197 (C) 597 (D) 997 (E) 297<|im_end|>
<|im_start|>assistant
<think>
</think>
According to the division process of whole numbers, N can be written, using multiplication, as follows
N... | 88,240 |
<|im_start|>user
The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages.
Answer Choices: (A) 20,35,45 (B) 8,20,28 (C) 16,28,36 (D) 16,28,46 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of t... | 57,574 |
<|im_start|>user
The thin scale-like or flat shape of what cells fits their primary function, to provide a smooth and protective surface?
Answer choice: (A) technique epithelium (B) kind epithelium (C) basic epithelium (D) simple epithelium<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple Epithelium The shape ... | 5,197 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 4,708 |
<|im_start|>user
Energy is the capacity to do work or to produce what?
Answer choice: (A) vibration (B) light (C) heat (D) humidity<|im_end|>
<|im_start|>assistant
<think>
</think>
Energy is the capacity to do work or to produce heat.
The answer is C<|endoftext|> | 9,201 |
<|im_start|>user
In an engineering class that contained 125 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Answer Choices... | 88,488 |
<|im_start|>user
o mow a grass field a team of mowers planned to cover 15 hectares a day. After 4 working days they increased the daily productivity by 33×13%33×13%, and finished the work 1 day earlier than it was planned.
A) What is the area of the grass field?
B) How many days did it take to mow the whole field?
C) H... | 57,544 |
<|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... | 4,956 |
<|im_start|>user
A hostel had provisions for 250 men for 48 days. If 50 men left the hostel, how long will the food last at the same rate?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
A hostel had provisions for 250 men for 48 days
If 50 men leaves the hostel, re... | 49,664 |
<|im_start|>user
Deby normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Deby averages between 12 and 16 miles per hour when biking, how many minutes ea... | 11,383 |
<|im_start|>user
In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated t... | 30,600 |
<|im_start|>user
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Answer Choices: (A) 11 1/6% (B) 11 7/9% (C) 11 1/9% (D) 11 1/8% (E) 11 2/9%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 --- 100
100 --- ? => 11 1/9%
The answer is C<|endof... | 56,868 |
<|im_start|>user
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer Choices: (A) $225 (B) $165 (C) $234 (D) $145 (E) $178<|im_end|>
<|im_start|>assistant
<think>
</think>
D
$145
Let the 1st paycheck be x (integer).
Mrs.... | 21,014 |
<|im_start|>user
The length of a rectangle is increased by 40% while its width is halved. What is the % change in area?
Answer Choices: (A) 25% (B) 30% (C) 50% (D) 65% (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
The original area is L*W
The new area is 1.4L*0.5W = 0.7*L*W = L*W - 0.3*L*W
The area decreas... | 26,272 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 4,571 |
<|im_start|>user
If w < y < -1, which of the following is true?
Answer Choices: (A) w/y > wy (B) y/w > w+y (C) y/w > wy (D) y/w < w+y (E) y/w > w/y<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider :
w= -3
y= -2
then put for every option. U'll get
The answer is B<|endoftext|> | 9,038 |
<|im_start|>user
The product of two numbers is 1320 and their H.C.F is 6.The L.C.M of the numbers is
Answer Choices: (A) 220 (B) 1314 (C) 1326 (D) 7920 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
L.C.M = product of numbers / H.C.F
‹=› 1320 / 6
‹=›220.
The answer is A<|endoftext|> | 53,624 |
<|im_start|>user
The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Answer Choices: (A) 6 (B) 29 (C) 31 (D) 34 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
The total of seven numbers = 7X15 = 105
The total of ... | 56,231 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 4,321 |
<|im_start|>user
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1540 are infected, how manyworkersinhabit the colony?
Answer Choices: (A) 1500 (B) 2500 (C) 2750 (D) 3000 (E) 3500<|im_... | 2,739 |
<|im_start|>user
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 7 kmph (B) 9 kmph (C) 4 kmph (D) 8 kmph (E) 2 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d... | 89,661 |
<|im_start|>user
Out of 9 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Answer Choices: (A) 15/23 (B) 21/28 (C) 31/38 (D) 37/42 (E) 43/56<|im_end|>
<|im_start|>assistant
<think>
</think>
P(no graduates) = 5C3 /... | 10,341 |
<|im_start|>user
The average age of father and his two sons is 18 Years. Five years ago, the average age of the two sons was 11 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
Answer Choices: (A) 22 (B) 24 (C) 25 (D) 28 (E) 49<|im_end|>
<|im_start|>assista... | 73,554 |
<|im_start|>user
Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
Answer Choices: (A) Rs.68 (B) Rs.85 (C) ... | 30,635 |
<|im_start|>user
The complete hydrolysis of starch yields what?
Answer choice: (A) glutamate (B) glucose (C) insulin (D) sucrose<|im_end|>
<|im_start|>assistant
<think>
</think>
Both amylopectin and glycogen contain branch points that are linked through α-1,6linkages. These branch points occur more often in glycogen.... | 594 |
<|im_start|>user
For how many integers n is 1^n+3 = (n+3)^1?
Answer Choices: (A) None of these (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
If n=0
1^0+3= (0+3)^1
1^3 = 1 ; 3^1 =1 not ok
If n=1
1^1+3 =1 ; (1+3)^1=3^1=3 not OK
So,
The answer is A<|endoftext|> | 34,209 |
<|im_start|>user
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area M square inches. Which of the following equations must be true?
Answer Choices: (A) w^2 + pw + M = 0 (B) w^2 - pw + 2M = 0 (C) 2w^2 + pw + 2M = 0 (D) 2w^2 - pw - 2M = 0 (E) 2w^2 - pw + 2M = 0<|im_end|>
<|im_sta... | 86,787 |
<|im_start|>user
If n is an odd integer, which of the following must also be an odd integer?
Answer Choices: (A) 2n (B) 2n^2 (C) n^2 + 2n (D) n^2 + 3n (E) n^2 + 2n + 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) 2n = even*odd = even.
(B) 2n^2 = even*odd = even.
(C) n^2 + 2n = odd + even*odd = odd + even = od... | 15,820 |
<|im_start|>user
A bad habit milkman to sell his milk at cost price but he mixes it with water and thereby gains 25%. Find the percentage of mixture water ?
Answer Choices: (A) 20 (B) 30 (C) 35 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
cp of 1 lr = 1 rs
mix = (100/125*1) = 4/5
ratio of milk to wa... | 60,448 |
<|im_start|>user
835, 734, 642, 751, 853, 981, 532
Answer Choices: (A) 751 (B) 853 (C) 981 (D) 532 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
In each number except 751,the difference of third and first digit is the middle one.
The answer is A<|endoftext|> | 58,041 |
<|im_start|>user
What is the long, narrow tube that carries food from the pharynx to the stomach by the mechanism of peristalsis?
Answer choice: (A) gallbladder (B) liver (C) spinal cord (D) esophagus<|im_end|>
<|im_start|>assistant
<think>
</think>
The esophagus is a long, narrow tube that carries food from the phar... | 325 |
<|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... | 1,957 |
<|im_start|>user
The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
Answer Choices: (A) Rs.18000 (B) Rs.17000 (C) Rs.18500 (D) Rs.17500 (E) None of these.<|im_end|>
<|im_start|>assistant
<think>
</think>
The simple in... | 46,833 |
<|im_start|>user
What are mudskipper fish able to do in short distances?
Answer choice: (A) tumble (B) run (C) spit (D) walk<|im_end|>
<|im_start|>assistant
<think>
</think>
Thomas H Brown. Mudskippers are fish that are able to walk short distances . CC-BY 2.0.
The answer is D<|endoftext|> | 5,356 |
<|im_start|>user
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Answer Choices: (A) 3446 (B) 2345 (C) 5467 (D) 4767 (E) 5184<|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
E
The answer is E<|endoftext|> | 36,473 |
<|im_start|>user
A 280 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Answer Choices: (A) 230 (B) 288 (C) 267 (D) 256 (E) 220<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = ... | 46,147 |
<|im_start|>user
An article is bought for Rs.600 and sold for Rs.550, find the loss percent?
Answer Choices: (A) 8.33% (B) 16 7/3% (C) 16 2/8% (D) 16 2/3% (E) 76 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
600 ---- 50
100 ---- ? =>8.33%
The answer is A<|endoftext|> | 86,319 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 397 |
<|im_start|>user
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + 2n?
Answer Choices: (A) 11 (B) 18 (C) 20 (D) 25 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
k^4=5400∗mn
k^4=3^3.2^3.5^2.mn
In order to make RHS a perfect power of 4, we require it to be mult... | 63,394 |
<|im_start|>user
John received a 10% raise each month for three consecutive months. What was his salary after the three raises if his starting salary was $1,000 per month?
Answer Choices: (A) $1,248 (B) $1,300 (C) $1,331 (D) $1,410 (E) $1,463<|im_end|>
<|im_start|>assistant
<think>
</think>
1,000 + 100 (10%) = 1,100
... | 60,951 |
<|im_start|>user
In some language, 'COLLEGE' is written as 'FSOPHKH' and 'SCHOOL' is wriiten as 'VGKSRP'. Then What is for "STUDENT"??
Answer Choices: (A) VXWHHRW (B) VXXHIRW (C) VXWHIRX (D) VXXHHRW (E) VXXHHRS<|im_end|>
<|im_start|>assistant
<think>
</think>
In 'college' and "school'
1) odd letters has +3 letters mo... | 23,120 |
<|im_start|>user
What least number must be subtracted from 9671 so that the remaining number is divisible by 2?
Answer Choices: (A) 3 (B) 1 (C) 16 (D) 11 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
On dividing 9671 by 2, we get remainder = 1.
Required number be subtracted = 1
The answer is B<|endoftext|> | 41,242 |
<|im_start|>user
What does cartilage lack compared to bones, making it softer and less rigid?
Answer choice: (A) potassium (B) magnesium (C) calcium (D) protein<|im_end|>
<|im_start|>assistant
<think>
</think>
Skeletons made of cartilage rather than bone. Cartilage is supportive tissue that does not have as much calc... | 7,487 |
<|im_start|>user
Burning of methane is a type of what, which involves the breaking and forming of bonds?
Answer choice: (A) chemical reaction (B) liquid reaction (C) physical reaction (D) toxic reaction<|im_end|>
<|im_start|>assistant
<think>
</think>
An example of a chemical reaction is the burning of methane. In th... | 4,116 |
<|im_start|>user
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 5 terms of the sequence?
Answer Choices: (A) 201/100 (B) 99/100 (C) 100/101 (D) 1/10000 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Easy task and accomplish
X1=1-1/2
x2=1/2-1/3
x3=1/3-1/4
.....
x... | 32,342 |
<|im_start|>user
If x < 0 and 0 < y < 1, which of the following has the greatest value C?
Answer Choices: (A) x^2 (B) (xy) ^2 (C) (x/y) ^2 (D) x^2/y (E) x^2*y<|im_end|>
<|im_start|>assistant
<think>
</think>
Given, x < 0 and 0 < y < 1
Let, x = -2 and y = 1/2
A. x ^2 = (-2)^2 =4
B. (xy)^2 = (-2*1/2)^2 =1
C. (x/y)^2 = ... | 87,167 |
<|im_start|>user
A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.
Answer Choices: (A) 5 12/17% (B) 5 13/17% (C) 5 14/17% (D) 5 15/17% (E) 5 16/17%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this type of question, ... | 59,324 |
<|im_start|>user
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Answer Choices: (A) 14/15 (B) 15/14 (C) 4/5 (D) 42/55 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<thi... | 8,091 |
<|im_start|>user
At a recent small town election for mayor a total of 975 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Answer Choices: (A) 134 (B) 178 (C) 198 (D) 166 (E) 194<|im_end|>
<|im_... | 95,175 |
<|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... | 6,234 |
<|im_start|>user
A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible?
Answer Choices: (A) 12 (B) 18 (C)... | 70,190 |
<|im_start|>user
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 60, what is the least possible difference between n and m.
Answer Choices: (A) a.1 (B) b.3 (C) c.5 (D) d.7 (E) e.9<|im_end|>
<|im_start|>assistan... | 33,151 |
<|im_start|>user
If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
Answer Choices: (A) 5.3296 (B) 6.3296 (C) 7.3296 (D) 8.3296 (E) 9.3296<|im_end|>
<|im_start|>assistant
<think>
</think>
log(2x)-5log(x)+6=0 (given)
log(2x)-log(x^5)=-6
log(2x/x^5)=-6 [since log(a)-log(b)=log(a/b)]
apply anti log... | 11,256 |
<|im_start|>user
If a4 +(1/a4)=119 then a power 3-(1/a3)
Answer Choices: (A) 22 (B) 36 (C) 27 (D) 18 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given that a4+1a4=119a4+1a4=119 , adding 2 on both sides, we get : (a2+1a2)2=121(a2+1a2)2=121
⇒a2+1a2=11⇒a2+1a2=11
Again, by subtracting 2 on both s... | 48,037 |
<|im_start|>user
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Answer Choices: (A) 91887 (B) 38000 (C) 38002 (D) 38027 (E) 38028<|im_end|>
<|im_start|>assistant
<think>
</think>
CP + CP/8 = 45000
CP = 40000
SP... | 34,849 |
<|im_start|>user
While working alone at their respective constant rates, server M uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to ... | 57,259 |
<|im_start|>user
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Answer Choices: (A) Rs.460 (B) Rs.5640 (C) Rs.5460 (D) Rs.5604 (E) Rs.5704<|im_end|>
<|im_start|>assistant
<think>
</think>
5000 * 104/100 * 105/100 => 5460
The answer is C<|endoftext|> | 3,740 |
<|im_start|>user
The difference between the length and breadth of a rectangle is 42 m. If its perimeter is 280 m, then its area is:
Answer Choices: (A) 1520 m2 (B) 4250 m2 (C) 4459 m2 (D) 4092 m2 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION
We have: (l – b) = 42 and 2(l + b) = 280 or (l + b... | 49,404 |
<|im_start|>user
In Company A, the total monthly payroll for the 12 factory workers is $18,000 and the total monthly payroll for the 40 office workers is $100,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a factory worker in this company?
Answer Choices: (A) $600 ... | 69,240 |
<|im_start|>user
A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of r square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Answ... | 4,062 |
<|im_start|>user
In how many different number of ways 3 boys and 2 girls can sit on a bench?
Answer Choices: (A) 700 (B) 710 (C) 120 (D) 720 (E) 740<|im_end|>
<|im_start|>assistant
<think>
</think>
npn = n!
5p5 = 5 × 4 × 3 × 2 × 1 = 120
C
The answer is C<|endoftext|> | 70,560 |
<|im_start|>user
I. a3 - 988 = 740,
II. b2 - 72 = 72 to solve both the equations to find the values of a and b?
Answer Choices: (A) a > b (B) a ≥ b (C) a < b (D) a ≤ b (E) a = b or the relationship between a and b cannot be established.<|im_end|>
<|im_start|>assistant
<think>
</think>
a3 = 1728 => a = 12
b2 = 144 => ... | 53,430 |
<|im_start|>user
A man can row
9 1/3
kmph in still water and finds that it takes him thrice as much time to row up than as to row, down the same distance in the river. The speed of the current is.
Answer Choices: (A) 3 2/3kmph (B) 4 2/3kmph (C) 5 2/3kmph (D) 6 2/3kmph (E) None of these<|im_end|>
<|im_start|>assistant
<... | 55,479 |
<|im_start|>user
For an upcoming charity event, a male vocalist has agreed to sing 5 out of 7 “old songs” and 3 out of 6 “new songs.” How many ways can the singer make his selection?
Answer Choices: (A) 25 (B) 50 (C) 140 (D) 480 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
=7C5*6C3
=7*6/3*6*5/3
=7*2*2*5
=... | 18,318 |
<|im_start|>user
In an examination, 34% of total students failed in Hindi, 44% failed in English and 22% in both. The percentage of these who passed in both the subjects is :
Answer Choices: (A) 23 (B) 37 (C) 28 (D) 44 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Formula n(a∪b) = n(a) + n(b)... | 68,455 |
<|im_start|>user
A circular mat with radius 10 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Answer Choices: (A) 5/12 (B) 2/5 (C) 0.5451 (D) 3/4 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>... | 92,766 |
<|im_start|>user
A is twice as good workman as B, and together they complete a work in 15 days. In how many days can the work be complete by B alone?
Answer Choices: (A) 35 days (B) 65 days (C) 45 days (D) 75 days (E) 95 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C
45 days
The answer is C<|endoftext|> | 11,076 |
<|im_start|>user
If the sides of a triangle are 21 cm, 19 cm and 5 cm, what is its area?
Answer Choices: (A) 42.25 cm2 (B) 57.5 cm2 (C) 42.5 cm2 (D) 47.5 cm2 (E) 52.5 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 21 cm, 19 cm and 5 cm is right angled, where the hypotenuse is 21 cm.
Area... | 22,084 |
<|im_start|>user
Researchers have long based their hypotheses about animal phylogeny on what?
Answer choice: (A) longitudinal data (B) manipulative data (C) distinctive data (D) morphological data<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 9,508 |
<|im_start|>user
Without stoppages a train travels a certain distance with an average speed of 60 kmph and with stoppages it covers the same distance with an average speed of 20 kmph. What is the time in minutes per hour for which train stops?
Answer Choices: (A) 30 min/hr (B) 35 min/hr (C) 40 min/hr (D) 45 min/hr (E) ... | 73,553 |
<|im_start|>user
Different regions of the cerebral cortex can be associated with particular functions, a concept known as what?
Answer choice: (A) reversal of function (B) expressiveness of function (C) cytoplasm of function (D) localization of function<|im_end|>
<|im_start|>assistant
<think>
</think>
Different regio... | 11,631 |
<|im_start|>user
You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
Answer Choices: (A) 39 (B) 40 (C) 65 (D) 42 (E) 43<|im_end|>
<|im_start|>ass... | 28,846 |
<|im_start|>user
9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days then in how many days 9 men and 10 women will finish the same work.
Answer Choices: (A) 185/41 days (B) 175/41 days (C) 195/41 days (D) 195/51 days (E) 195/49 days<|im_end|>
<|im_start|>assi... | 67,017 |
<|im_start|>user
What causes lightning during a thunderstorm?
Answer choice: (A) difference in charge (B) difference in wind (C) difference in elevation (D) difference in temperature<|im_end|>
<|im_start|>assistant
<think>
</think>
During a thunderstorm, some parts of a thunderhead become negatively charged. Other pa... | 1,909 |
<|im_start|>user
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-90 inclusive is the digital sum a multiple of 7?
Answer Choices: (A) 10 (B) 8 (C) 14 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
is there other way than just listing?
25
34
43
52
59
61
68... | 28,341 |
<|im_start|>user
A multi level marketing devised a training program by which a trainer could convince 40 persons every 60 minutes he conducts the program. And in the next 60 minutes those each of those 40 persons will convince 40 persons. If this process is repeated how many people can be trained/convinced by the compa... | 32,229 |
<|im_start|>user
List L: ABC, BCA, CAB
In list L above, there are 5 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Answer Choices: (A) 47 (B) 114 (C) 152 (D) 161 (E) 488<... | 71,264 |
<|im_start|>user
If .005^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Answer Choices: (A) 0 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
0.005^4= (5*10^-3)^4 = 625*10^-12 = 0.625*10^-9 which would have 9 zeros to ... | 97,365 |
<|im_start|>user
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest... | 43,017 |
<|im_start|>user
If x^2=x+2, then x^3=?
Answer Choices: (A) 3x+2 (B) 3x-2 (C) 2x+1 (D) 2x-3 (E) 3x+4<|im_end|>
<|im_start|>assistant
<think>
</think>
Given X^2 = X+2
X^3 = X*X^2 = x*(X+2)-- Substituted from above.
= X^2 + 2X = X+2+2X = 3X+2.
Hence A.
The answer is A<|endoftext|> | 45,658 |
<|im_start|>user
In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Answer Choices: (A) 200 (B) 210 (C) 230 (D) 56 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
8p2 = 8 X 7 = 56
D)
The answer is D<|endoftext|> | 46,551 |
<|im_start|>user
If X = the product of six distinct prime numbers, how many factors does X have besides 1 and itself?
Answer Choices: (A) 50 (B) 56 (C) 62 (D) 68 (E) 74<|im_end|>
<|im_start|>assistant
<think>
</think>
Since X has 6 distinct prime factors, X has a total of 2^6 = 64 factors.
Besides 1 and itself, X has... | 85,422 |
<|im_start|>user
What is the unit digit of (6!*6! / 6!*3!)?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
(6!*6! /6!*3!)
=(6! / 3!)
=720/6
=120
Units digit of the above product will be equal to 0
The answer is A<|endoftext|> | 10,461 |
<|im_start|>user
A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Answer Choices: (A) 2 hour 20 minutes (B) 1 hour 80 minutes (C) 1 hour 20 minutes (D) 8 hour 20 minutes (E) 1 hour 50 minutes<|im_end|>
<|im_sta... | 91,147 |
<|im_start|>user
Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.
Answer Choices: (A) 221 cm2 (B) 211 cm2 (C) 231 cm2 (D) 236 cm2 (E) 241 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: length = 17 cm, breadth = 13 cm
Perimeter of rectangle = 2 (length + breadth)
= 2 (17 + 1... | 92,064 |
<|im_start|>user
A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?
Answer Choices: (A) 12 hrs (B) 24 hrs (C) 16 hrs (D) 32 hrs (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 41,657 |
<|im_start|>user
Which of the following is equal to (x+1)!/x!
Answer Choices: (A) x-1 (B) 1+(1/x) (C) x+1 (D) 1 (E) x<|im_end|>
<|im_start|>assistant
<think>
</think>
(x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1
The answer is C<|endoftext|> | 46,873 |
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