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<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 2,146 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 2,308 |
<|im_start|>user
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 7 * 9 =?
Answer Choices: (A) 89 (B) 49 (C) 68 (D) 38 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
C
68
(9 * 7) + 5 = 68
The answer is C<|endoftext|> | 91,666 |
<|im_start|>user
A heap of coconuts is divided into groups of 2, 5 and 7 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Answer Choices: (A) A) 31 (B) B) 41 (C) C) 51 (D) D) 61 (E) E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM = 70
=> 70 + 1 = ... | 75,058 |
<|im_start|>user
If log 27 = 1.431, then the value of log 9 is:
Answer Choices: (A) 0.954 (B) 0.93 (C) 0.933 (D) 0.96 (E) 0.974<|im_end|>
<|im_start|>assistant
<think>
</think>
If log 27 = 1.431, then the value of log 9 is:
A. 0.934
B. 0.945
C. 0.954
D. 0.958
Answer: Option C
Explanation:
log 27 = 1.431
log (33 ) = 1... | 89,832 |
<|im_start|>user
A Vendor sells 10 clips for a rupee gaining thereby 40%. How many clips did he buy for a rupee?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 15 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
S.P of 10 Clips=Re 1
Gain= 40%.
C.P of 10 Clips=Rs(100/140)*1=Re 5/7
For Rs 5/7, Clips bought=10.
For R... | 27,012 |
<|im_start|>user
An orphanage had provision of food for 300 boys for 90 days. After 20 days, 50 boys left the orphanage. The number of days for which remaining food will last is :
Answer Choices: (A) 70 (B) 72 (C) 80 (D) 84 (E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: After 20 days ... | 43,095 |
<|im_start|>user
Monotremes, marsupials, and placental mammals are subclasses of what?
Answer choice: (A) amphibians (B) reptiles (C) mammals (D) birds<|im_end|>
<|im_start|>assistant
<think>
</think>
Monotremes, marsupials, and placental mammals are subclasses of mammals. Almost all living mammals are placental mamm... | 11,511 |
<|im_start|>user
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Answer Choices: (A) 3002 (B) 3000 (C) 3018 (D) 3019 (E) 3012<|im_end|>
<|im_start|>assistant
<think>
</think>
60... | 69,408 |
<|im_start|>user
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Answer Choices: (A) 1/3. (B) 3. (C) 2. (D) 1/2. (E) 6.<|im_end|>
<|im_start|>assistant
<think... | 44,682 |
<|im_start|>user
The average student age of a certain class which has 30 students is 10. If one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. What is the age of class teacher?
Answer Choices: (A) 32 (B) 41 (C) 45 (D) 48 (E) 50<|im_end|>
<|im_start|>assistant... | 34,414 |
<|im_start|>user
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Answer Choices: (A) 250 (B) 276 (C) 280 (D) 285 (E) 295<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Since the month beg... | 92,632 |
<|im_start|>user
The rate of a certain chemical reaction is directly proportional to the concentration of chemical B present and inversely proportional to the concentration of chemical A present. If the concentration of chemical B present is increased by 50 percent, which of the following is closest to the percent chan... | 70,041 |
<|im_start|>user
A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Answer Choices: (A) 350 kg (B) 360 kg (C) 400 kg (D) 600 kg (E) 700 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
By rule of alligation,
Profit% by sell... | 11,406 |
<|im_start|>user
At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 7 liters of forest green to change it to Verdant green?
Answer Choices: (A) ... | 96,910 |
<|im_start|>user
A car after travelling 100 km from point A meets with an accident and then proceeds at 3/4 of its original speed and arrives at the point B 90 minutes late. If the car meets the accident 60 km further on, it would have reached 15 minutes sooner. Find the original speed of the train?
Answer Choices: (A)... | 29,889 |
<|im_start|>user
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Answer Choices: (A) 1 : 3 (B) 2 : 3 (C) 3 : 4 (D) 4 : 5 (E) 5 : 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
By the rule of alligation:
Required ratio = 60 : ... | 2,366 |
<|im_start|>user
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms Q in the sequence are smaller than the average?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the sequence have N terms starting 18*K
--... | 65,510 |
<|im_start|>user
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Answer Choices: (A) 3!*8!*4!*4! Ways (B) 8!*4!*4! Ways (C) 8!*3!*4! Ways (D) 3!*4!*4! Ways (E) 4!*4! Ways<|im_end|>
<|im_start|>assistant
<think>
</think>
Ta... | 34,577 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 3,406 |
<|im_start|>user
When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 4, the speed of the leak is V’, When the height of the oil remaining is 16, what was the speed of the leak,... | 70,399 |
<|im_start|>user
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Answer Choices: (A) 1:5 (B) 2:3 (C) 4:9 (D) 4:3 (E) 6:2<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 27,325 |
<|im_start|>user
For geneticists, the findings of what massive undertaking are significant in determining disease-causing alleles?
Answer choice: (A) human produce project (B) Visible Human Project (C) human genome project (D) human organisms project<|im_end|>
<|im_start|>assistant
<think>
</think>
Understanding and ... | 10,289 |
<|im_start|>user
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 12 sec (B) 30 sec (C) 27 sec (D) 87 sec (E) 15 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of tra... | 82,914 |
<|im_start|>user
What is the term for the unconscious movements controlled by the somatic nervous system?
Answer choice: (A) senses (B) reflexes (C) mechanisms (D) tremors<|im_end|>
<|im_start|>assistant
<think>
</think>
The somatic nervous system also controls some unconscious movements, called reflexes. A reflex is... | 3,628 |
<|im_start|>user
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % profit made by the merchant?
Answer Choices: (A) 66.67 % (B) 50 % (C) 200 % (D) 100 % (E) 33.33 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Selli... | 5,759 |
<|im_start|>user
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
Answer Choices: (A) 26000 (B) 27782 (C) 27891 (D) 25000 (E) 18771<|im_end|>
<|im_start|>assistant
<think>
</think>
26 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
26 = 1/1000 * x => x = 26000
The an... | 43,580 |
<|im_start|>user
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Answer Choices: (A) 33 (B) 77 (C) 48 (D) 99 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
The answer is C<|en... | 97,248 |
<|im_start|>user
If selling price is doubled, the profit triples. Find the profit percent:
Answer Choices: (A) 227 (B) 100 (C) 278 (D) 266 (E) 181<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. be Rs. x and S.P. be Rx. y.
Then, 3(y - x) = (2y - x) => y = 2x
Profit = (y - x) = Rs. (2x - x) = Rs. x
Profit % ... | 18,077 |
<|im_start|>user
On a test average (arithmetic mean) test score for 4 students is 85. What must be 5th student's score that average score for 5 students to be 86?
Answer Choices: (A) 70 (B) 80 (C) 90 (D) 100 (E) 110<|im_end|>
<|im_start|>assistant
<think>
</think>
(4*85+x)/5=86
x=(5*86)-(4*85)
x= 430 - 340
total scor... | 31,043 |
<|im_start|>user
How many revolutions will it take for a circular wheel of 1.95 m radius make in traveling a distance of 1 km?
Answer Choices: (A) 14557.1 (B) 24257.1 (C) 11257.1 (D) 12257.1 (E) 12567.1<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 1.95 * x = 12257.1
x = 1000
The answer is D<|endoftext|... | 50,543 |
<|im_start|>user
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be?
Answer Choices: (A) 7:6 (B) 7:3 (C) 7:4 (D) 7:2 (E) 7:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the age of father and son 10 ye... | 76,776 |
<|im_start|>user
The average weight of 10 person's increases by 5 kg when a new person comes in place of one of them weighing 60 kg. What is the weight of the new person?
Answer Choices: (A) 85.5 (B) 86.5 (C) 87.5 (D) 110 (E) 89.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Total increase in weight =10 ×5 = 50
I... | 61,242 |
<|im_start|>user
An agent, gets a commission of 4% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
Answer Choices: (A) 312 (B) 500 (C) 887 (D) 299 (E) 132<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the total sale be Rs... | 78,548 |
<|im_start|>user
What was the day of the week on, 18th July, 1776?
Answer Choices: (A) Thursday (B) Wednesday (C) Monday (D) Saturday (E) SUNDAY<|im_end|>
<|im_start|>assistant
<think>
</think>
16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)
Counting of odd days :
1600 years have 0 odd d... | 72,281 |
<|im_start|>user
What is the shortest distance between points (-2, 1) and (2,-2)?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
The shortest distance between any two points is a line.
Points are written in the (x,y) format, where x is the x-coordinate and y is the y-co... | 59,696 |
<|im_start|>user
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Answer Choices: (A) 7% (B) 2% (C) 1% (D) 4% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
10*10
-------- = 1%
100
The answer... | 52,225 |
<|im_start|>user
If A^4 + B^4 = 100, then the greatest possible value of B is between
Answer Choices: (A) 0 and 1 (B) 1 and 2 (C) 2 and 3 (D) 3 and 4 (E) 4 and 5<|im_end|>
<|im_start|>assistant
<think>
</think>
for the greatest possible value of B^4, we must minimize the value of B^4 i.e. lets say A^4 = 0
then we nee... | 46,025 |
<|im_start|>user
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 7 inches. Two pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
An... | 91,296 |
<|im_start|>user
Find the number of square tiles to cover the floor of a room measuring 3 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Answer Choices: (A) 340 (B) 476 (C) 472 (D) 471 (E) 445<|im_end|>
<|im_start|>assistant
<think>
</think>
2 1/2 * 8 1/2 = 1/4 * 1/4 * x =>... | 31,433 |
<|im_start|>user
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2970?
Answer Choices: (A) 3000 (B) 2669 (C) 2200 (D) 2766 (E) 2998<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost price of table fo... | 76,807 |
<|im_start|>user
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How much longer will the cistern take to fill?
Answer Choices: (A) 10 1/7 (B) 10 1/4 (C) 10 1/3 (D) 10 1/2 (E) 10<|im_end|>
<|im_start|>assistant
<think... | 71,798 |
<|im_start|>user
A major disturbance in what results in an episode of severe weather called a storm?
Answer choice: (A) the oceans (B) the atmosphere (C) the core (D) the ozone layer<|im_end|>
<|im_start|>assistant
<think>
</think>
A storm is an episode of severe weather. It is caused by a major disturbance in the at... | 7,919 |
<|im_start|>user
Look at this series: 7, 10, 8, 11, 9, 12, 10, ... What number should come next?
Answer Choices: (A) 7 (B) 10 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtra... | 1,723 |
<|im_start|>user
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 276 m (B) 167 m (C) 245 metrs (D) 167 m (E) 178 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time
= 30 sec Let the length ... | 51,001 |
<|im_start|>user
Three different containers contain 496 litres, 403 litres and 713 litres of mixture of milk and water respectively. What is the biggest measure can measure all the different quantities exactly ?
Answer Choices: (A) 29 litres (B) 31 litres (C) 35 litres (D) 19 litres (E) 26 litres<|im_end|>
<|im_start|>... | 90,049 |
<|im_start|>user
During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Answer Choices: (A) 9% (B) 10% (C) 1... | 63,029 |
<|im_start|>user
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Answer Choices: (A) 190 sec (B) 120 sec (C) 130 sec (D) 210 sec (E) 220 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
A
190 sec
Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Tim... | 75,415 |
<|im_start|>user
From 6 positive numbers and 6 negative numbers, how many groups R of 4 numbers, yielding a positive product, can be formed?
Answer Choices: (A) 720 (B) 625 (C) 30 (D) 960 (E) 255<|im_end|>
<|im_start|>assistant
<think>
</think>
Potential combinations of 4 numbers that will yield positive product
++++... | 3,749 |
<|im_start|>user
An assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line... | 93,813 |
<|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... | 4,137 |
<|im_start|>user
What is a compound in which all of the atoms are connected to one another by covalent bonds?
Answer choice: (A) covalent bond element (B) covalent mixture (C) compound metal (D) covalent network solid<|im_end|>
<|im_start|>assistant
<think>
</think>
One type of molecular compound behaves quite differ... | 5,184 |
<|im_start|>user
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Answer Choices: (A) 1677 (B) 1683 (C) 2523 (D) 3363 (E) 3478<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 5, 6, 7, 8 = 840.
Required number is of the form 840k + 3
... | 72,307 |
<|im_start|>user
What is the process by which large particles, such as cells, are taken in by a cell?
Answer choice: (A) active transport (B) phagocytosis (C) diffusion (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Phagocytosis is the process by which large particles, such as cells, are taken in by a c... | 4,922 |
<|im_start|>user
Like sharks, nearly the entire human skeleton during a specific pre-birth developmental stage is made of what connective tissue?
Answer choice: (A) cartilage (B) chloroplasm (C) phloem (D) collagen<|im_end|>
<|im_start|>assistant
<think>
</think>
Cartilage Cartilage is a connective tissue with a larg... | 11,007 |
<|im_start|>user
What force increases a slide downhill and decreases a slide uphill?
Answer choice: (A) nuclear (B) gravity (C) frictional (D) tension<|im_end|>
<|im_start|>assistant
<think>
</think>
Discussion As might have been expected, the player slides a shorter distance by sliding uphill. Note that the problem ... | 769 |
<|im_start|>user
An inspector rejects 0.000008% of the meters as defective. How many will be examine to project ?
Answer Choices: (A) 2000 (B) 2300 (C) 2700 (D) 25000000 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of meters to be examined be x.
Then, 0.000008% of x =2
[(8/1000000)*(1/100)*... | 28,994 |
<|im_start|>user
a is an integer greater than 9 but less than 21, b is an integer greater than 19 but less than 31, what is the range of a/b?
Answer Choices: (A) 1/4 (B) 1/2 (C) 2/3 (D) 1 (E) 5/4<|im_end|>
<|im_start|>assistant
<think>
</think>
min value of a/b will be when b is highest and a is lowest ---> a=10 and ... | 43,759 |
<|im_start|>user
A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Answer Choices: (A) 12/28 (B) 48/19 (C) 16/48 (D) 18/48 (E) 12/64<|im_end|>
<|im_start|>assistant
<think>
</think>
One day work of A and B = 1/2
O... | 48,984 |
<|im_start|>user
By how much does the larger root of the equation 2q^2+5q = 12 exceed the smaller root?
Answer Choices: (A) 5/2 (B) 10/3 (C) 7/2 (D) 14/3 (E) 11/2<|im_end|>
<|im_start|>assistant
<think>
</think>
For 2q^2+5q = 12 Roots are [-5 + sqrt(25 + 96)]/4 OR [-5 - sqrt(25 + 96)]/4
= 1.5 OR -4
Hence larger ... | 83,475 |
<|im_start|>user
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 264. What is their H.C.F.?
Answer Choices: (A) 18 (B) 22 (C) 24 (D) 28 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 2x, 3x, and 4x.
LCM of 2x, 3x and 4x is 12x.
12x = 264
x = 22
HCF of 2x, 3x and 4x = x = 22... | 92,288 |
<|im_start|>user
A rectangular block 12cm by 36cm by 60cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
Answer Choices: (A) 6 (B) 10 (C) 15 (D) 40 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume of the block = 12*36*60 = 25920 cm^3
Side of the largest cube = H.C.F... | 26,042 |
<|im_start|>user
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 13 years more than twice the age of the son.Find the present age of the father.
Answer Choices: (A) 88 (B) 77 (C) 33 (D) 42 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 90,549 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Answer Choices: (A) 3776 (B) 2687 (C) 8400 (D) 2688 (E) 2671<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 22500 : 35000 = 9:14
Deep... | 95,560 |
<|im_start|>user
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Answer Choices: (A) 6 2/3% (B) 6 2/9% (C) 6 3/3% (D) 9 2/3% (E) 7 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3%... | 68,209 |
<|im_start|>user
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3840. They completed the work in 3 days with the help of C. How much is to be paid to C?
Answer Choices: (A) s. 380 (B) s. 600 (C) s. 420 (D) s. 400 (E) s. 480<|im_end|>
<|im_start|>assistant
<think... | 52,628 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Answer Choices: (A) 140 sq.units (B) 786sq.units (C... | 3,034 |
<|im_start|>user
The value of x + x(xx) when x = 2 is:
Answer Choices: (A) 10 (B) 18 (C) 16 (D) 64 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
The answer is A<|endoftext|> | 22,162 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 3,220 |
<|im_start|>user
Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pen.
Answer Choices: (A) 23 (B) 34 (C) 25 (D) 26 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
1 pen cost x,let 1 pencil cost y
2x+3y=86, ...y=(86-2x)/3
again,
4x+y=112
4x+(86-2x)/3=112
12x+86-2x=... | 82,766 |
<|im_start|>user
If 45% of a class averages 100% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 65% on the test, what is the overall class average? (Round final answer to the nearest percent).
Answer Choices: (A) 86% (B) 87% (C) 88% (D) 89% (E) 90%<|im_end|>
<|im_start|>as... | 40,365 |
<|im_start|>user
The product of the squares of two positive integers is 9. How many pairs of positive integers satisfy this condition?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans:B - 1 pairs
(xˆ2)(yˆ2) = 9 [square root both sides]
xy = 3
3 = 1x3, 3x1
Cancel the r... | 5,825 |
<|im_start|>user
Does Mercury have any moons?
Answer choice: (A) Yes, one moon. (B) Yes, two moons. (C) Yes, three moons. (D) None known.<|im_end|>
<|im_start|>assistant
<think>
</think>
There are no known moons orbiting Mercury.
The answer is D<|endoftext|> | 149 |
<|im_start|>user
Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?
Answer Choices: (A) 1/5 (B) 1/7 (C) 1/8 (D) 1/2 (E) 1/10<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cases are = 2^3=8
favoured cases =[TTH,THT,HTT,TTT]=4
Probability = 4/8=1/2
The answer is D<|endoftext... | 11,065 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 1000 (B) 3329 (C) 2776 (D) 2988 (E) 1681<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
The answer... | 46,390 |
<|im_start|>user
What is the greater of the two numbers whose product is 2496, given that the sum of the two numbers exceeds their difference by 64?
Answer Choices: (A) A) 96 (B) B) 108 (C) C) 110 (D) D) 78 (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the greater and the smaller number be g and s... | 81,773 |
<|im_start|>user
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 50 questions and secures 130 marks, the no of questions he attempts correctly is :
Answer Choices: (A) A) 36 (B) B) 38 (C) C) 90 (D) D) 88 (E) E) 37<|im_end|>
<|im_start|>ass... | 82,856 |
<|im_start|>user
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Answer Choices: (A) 288 (B) 277 (C) 298 (D) 125 (E) 272<|im_end|>
<|im_start|>assistant
<think>
</think>
3x * 2x = 3750 => x = 25
2(75 + 50) = 250 m
250 * 1/2 = Rs.125.
The answe... | 12,154 |
<|im_start|>user
Find the perimeter of a triangle with sides measuring 5 centimeters,20 centimeters and 30 centimeters.
Answer Choices: (A) 30cm (B) 40cm (C) 50cm (D) 55cm (E) 60cm<|im_end|>
<|im_start|>assistant
<think>
</think>
perimeter of triangle=a+b+c
Perimeter = 5 cm + 20 cm + 30 cm = 55 cm
The answer is D<|en... | 60,459 |
<|im_start|>user
What is the sum of the different positive prime factors of 660?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 17 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime factorization of 660
=66 * 10
=6*11 * 10
=2*3 * 2*5 * 11
=2^2 * 3 * 5 * 11
Sum of the different positive prime factors of 660 = 2+3+... | 17,511 |
<|im_start|>user
In a two digit number, the digit in the units place is three times the digit in ten's place and sum of the digits is equal to 8. What is the number?
Answer Choices: (A) 26 (B) 28 (C) 32 (D) 36 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the ten digits be x. Then,units digit=3... | 38,276 |
<|im_start|>user
Find the smallest number of 6 digits which is exactly divisible by 111.
Answer Choices: (A) 100011 (B) 111111 (C) 101111 (D) 201111 (E) 211111<|im_end|>
<|im_start|>assistant
<think>
</think>
Smallest number of 6 digits is 100000.
On dividing 100000 by 111, we get 100 as remainder.
Number to be added... | 24,942 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 250 m (B) 300 m (C) 120 m (D) 200 m (E) 166 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr
= (72 * 5/18) m/sec
= 20 m/sec.
Len... | 35,942 |
<|im_start|>user
Because it can be controlled intentionally, skeletal muscle is also called what type of muscle?
Answer choice: (A) voluntary (B) automatic (C) necessary (D) involuntary<|im_end|>
<|im_start|>assistant
<think>
</think>
Skeletal muscle tissue forms skeletal muscles, which attach to bones and sometimes ... | 425 |
<|im_start|>user
When a number is divided by 31, the remainder is 29. When the same number is divided by 16, what will be the remainder?
Answer Choices: (A) 11 (B) 13 (C) 15 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Number= (31 * Q)+ 29. Given data is inadequate.
The answe... | 74,586 |
<|im_start|>user
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Answer Choices: (A) 686 (B) 672 (C) 652 (D) 642 (E) 721<|im_end|>
<|im_start|>assistan... | 12,668 |
<|im_start|>user
Anthony and Michael sit on the six-member board of directors for company A. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Answer Choices: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%<|im_end|>
<|im_... | 29,119 |
<|im_start|>user
Solve the equation:
A) |2x – (3x + 2)| = 1,
B) |x|/3 – 2|x|/2 = - 1,
C) |3x – 1| = 2|3x – 1| - 2
Answer Choices: (A) -1, - 3/2, - 1/3 (B) -2, - 3/2, - 1/3 (C) -3, - 3/2, - 1/3 (D) -1/2, - 3/2, - 1/3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
A) |2x – 3x – 2| = 1 <=> ... | 59,617 |
<|im_start|>user
Water affects the availability of what important element in aquatic environments and in flooded soils?
Answer choice: (A) oxygen (B) carbon (C) nitrogen (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,451 |
<|im_start|>user
What term is used to describe joints in which the bones are connected by cartilage?
Answer choice: (A) capillaries joints (B) cartilaginous joints (C) blob joints (D) spinal joins<|im_end|>
<|im_start|>assistant
<think>
</think>
Cartilaginous Joints Cartilaginous joints are joints in which the bones ... | 7,131 |
<|im_start|>user
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
Answer Choices: (A) $28.44 (B) $18.44 (C) $48.44 (D) $38.44 (E) $68.44<|im_end|>
<|im_start|>assistant
<think>
</think>
let x... | 16,922 |
<|im_start|>user
The successive discounts 20% and 15% are equal to a single discount of?
Answer Choices: (A) 26 (B) 22 (C) 32 (D) 82 (E) 61<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the CP of an article be Rs. 100
Given that successive discounts are 20% and 15%.
SP = 85% of 80% of 100 = (85/10... | 61,917 |
<|im_start|>user
Harry is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 10 miles per hour. Of the following, which is the closest to his average speed, in miles per hou... | 64,998 |
<|im_start|>user
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Answer Choices: (A) 20 (B) 21 (C) 24 (D) 26 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
Th... | 33,177 |
<|im_start|>user
Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 10 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
Answ... | 43,736 |
<|im_start|>user
What is the smallest integer n for which 25^n > 5^12 ?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
To solve, we want to get the bases the same. Thus we need to break 25^n into prime factors.
25^n = (5^2)^n = 5^(2n) (Remember that when we have a... | 16,143 |
<|im_start|>user
6x – 5y + 3z = 27
4x + 8y – 11z = 7
5x – 6y + 2z = 12
Given the equations above, x + y + z = ?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
(6x – 5y + 3z) - (5x – 6y + 2z ) = 27-12
or, x+y+z = 15
Option E is the
The answer is E<|endoftext|> | 13,442 |
<|im_start|>user
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.210 only. Men’s wages are?
Answer Choices: (A) 6Rs (B) 2Rs (C) 4Rs (D) 9Rs (E) 14Rs<|im_end|>
<|im_start|>assistant
<think>
</think>
5M = xW = 8B
5M + xW + 8B ----- 210 Rs.
5M + 5M + 5M ----- 210 Rs.
15M ------ 210 Rs. => ... | 96,001 |
<|im_start|>user
The first three terms of a proportion are 2, 8 and 16. The fourth term is?
Answer Choices: (A) 22 (B) 64 (C) 67 (D) 60 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
(8*16)/2 = 64
The answer is B<|endoftext|> | 12,943 |
<|im_start|>user
A sum of Rs.3000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Answer Choices: (A) 2888 (B) 3120 (C) 2877 (D) 2999 (E) 1950<|im_end... | 59,401 |
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