text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
During the condensation reaction of sugars what is removed, linking the two sugars?
Answer choice: (A) hormones (B) chlorophyll (C) water (D) air<|im_end|>
<|im_start|>assistant
<think>
</think>
The simple sugars form the foundation of more complex carbohydrates. The cyclic forms of two sugars can be... | 8,647 |
<|im_start|>user
Find the odd man out
4, 16, 25, 36, 42, 64
Answer Choices: (A) 36 (B) 25 (C) 42 (D) 95 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
2^2 = 4
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
The answer is C<|endoftext|> | 14,341 |
<|im_start|>user
An inspector rejects 0.04% of the meters as defective. How many will he examine to reject 2?
Answer Choices: (A) A) 1500 (B) B) 2000 (C) C) 2500 (D) D) 5000 (E) E) 3100<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of meters to be examined be x
Then, 0.04% of x = 2
(4/100)*((1/100)*... | 91,452 |
<|im_start|>user
What is the term for biologically meaningful dna sequences?
Answer choice: (A) atoms (B) eggs (C) babies (D) genes<|im_end|>
<|im_start|>assistant
<think>
</think>
disease is sex-linked and effects mainly males (who are XY, compared to XX females).273 In the unaffected population, the FMR-1 gene cont... | 3,754 |
<|im_start|>user
At a dinner party,3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Answer Choices: (A) 1) 5... | 96,845 |
<|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 that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 971 |
<|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 that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 1,574 |
<|im_start|>user
A retailer buys 60 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Answer Choices: (A) 40 (B) 65 (C) 72 (D) 78 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
let the market price of each pen be $1
then, Cost Price ... | 9,374 |
<|im_start|>user
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind?
Answer Choices: (A) 30 (B) 28 (C) 25 (D) 20... | 94,223 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Select the one true statement.
Answer Choices: (A) Mitochondria are outside the nucleus of an animal cell. (B) Animal cells can have lysosomes but do not have vacuoles. (C) The vacuoles of plant cells use sunligh... | 702 |
<|im_start|>user
Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
Answer Choices: (A) 1 hour 10 minutes (B) 1 hour 82 minutes (C) 2 hour 12 minutes (D) 1 hour 12 minutes (E) 1 hour 62 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
Ne... | 3,219 |
<|im_start|>user
In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Answer Choices: (A) 2.50 sec (B) 2.60 sec (C) 3.75 sec (D) 2.9 sec (E) 9.50 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 144 * 5/18 = 40 m/sec
Time taken = 150/40
= 3.75 sec.
The answer is C<|endof... | 33,076 |
<|im_start|>user
How many groups of leaves does poison ivy typically have?
Answer choice: (A) three (B) four (C) six (D) ten<|im_end|>
<|im_start|>assistant
<think>
</think>
Poison ivy plants are wild vines with leaves in groups of three. They grow in wooded areas in most of the United States. Contact with poison ivy... | 5,837 |
<|im_start|>user
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 2?
Answer Choices: (A) -1 (B) 0 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 2
= x2(x - 2)2 +2
= (1 + √2)2(1 + √2 - 2)2 + 2
=(√2 + 1)2 (√2 - 1)2 + 2
=[(√2)2 - (1)... | 91,612 |
<|im_start|>user
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Answer Choices: (A) 10 (B) 100 (C) 1000 (D) 10000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Along one edge, the number of small cubes that can be cut
= 100/1... | 54,114 |
<|im_start|>user
Out of a classroom of 5 boys and 6 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Answer Choices: (A) 2/11 (B) 2/33 (C) 4/33 (D) 8/165 (E) 19/165<|im_end|>
<|im_s... | 9,323 |
<|im_start|>user
Paul sells encyclopedias door-to-door. He earns $80 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the ... | 47,598 |
<|im_start|>user
What sum of money put at C.I amounts in 2 years to Rs.8000 and in 3 years to Rs.9261?
Answer Choices: (A) 5969.72 (B) 8877.72 (C) 2877.72 (D) 2678.72 (E) 1011.72<|im_end|>
<|im_start|>assistant
<think>
</think>
8000 ---- 1261
100 ---- ? => 15.76%
x *115.76/100 * 115.76/100 = 8000
x*1.34=8000
x=8000/1... | 59,432 |
<|im_start|>user
6 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange them... | 50,784 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A chemical change occurs when new substances are formed from existing substances. This process is called a chemical reaction.
In a chemical reaction, one or more substances change into one or more different substances. Durin... | 5,749 |
<|im_start|>user
What is 2 4/3 - 3 1/4 divided by 2/3 - 1/6 ?
Answer Choices: (A) 5/4 (B) 2/3 (C) 1/6 (D) 5/2 (E) 1/8<|im_end|>
<|im_start|>assistant
<think>
</think>
2 4/3 - 3 1/4 = 10/3 - 13/4 = (40 - 39 )/12 = 1/12
2/3 - 1/6 = (4-1)/6 = 3/6 = 1/2
So 1/12/1/2 = 2/12 = 1/6
The answer is C<|endoftext|> | 82,281 |
<|im_start|>user
A factory produces 6400 toys per week. If the workers at this factory work 3 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer Choices: (A) 1375 toys (B) 2133 toys (C) 3375 toys (D) 4375 toys (E) 5375 toys<|im_end|>
<|im_start|>assistant... | 88,740 |
<|im_start|>user
The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P(1 + 20/100)n >2P => (6/5)n >2
Now,(6/5 x 6/5 x 6/5 x 6/5 ... | 96,181 |
<|im_start|>user
Rahul went to a shop and bought things worth Rs. 55, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) A) 19.7 (B) B) 19.9 (C) C) 21.9 (D) D) 40.9 (E) E) 49.7<|im_end|>
<|im_start|>assistant
<think>
<... | 71,545 |
<|im_start|>user
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
Answer Choices: (A) 36.5 (B) 21.4 (C) 19.5 (D) 18.2 (E) 17.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Correct sum = (36 * 50 + 48 - 23) = 1825.
Correc... | 21,179 |
<|im_start|>user
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $530. How many green hats did we buy?
Answer Choices: (A) A) 36 (B) B) 20 (C) C) 40 (D) D) 42 (E) E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B be the number of blue hats and let G be the numb... | 67,659 |
<|im_start|>user
5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?
Answer Choices: (A) 2 and 8 (B) 2 and 6 (C) 0 and 9 (D) 2 and 7 (E) 2 and 9<|im_end|>
<|im_start|>assistant
<think>
</think>
5n+2 > 12
5n > 10
n > 2
7n-12 < 44
7n < 56
n < 8
So n must be between 2 and 8
2 < n < 8
The answer is A<|endoftex... | 17,238 |
<|im_start|>user
A straight one-mile stretch of highway is 40 feet wide. You ride your bike on a
path composed of semicircles as shown. If you ride at 5 miles per hour, how many hours will
it take you to cover the one-mile stretch?
Note: 1 mile = 5280 feet
Answer Choices: (A) π/11 hours (B) π/10 hours (C) π/5 hours (D)... | 56,064 |
<|im_start|>user
Marcela, Karla, Isabel, and Viviana all got their math tests back. The average of Marcela, Karla, and Isabel's grades was an 85%. The average of Karla, Isabel, and Viviana's grades was a 78%. If Viviana got a 75%, what did Marcela get?
Answer Choices: (A) 90% (B) 92% (C) 96% (D) 88% (E) 98%<|im_end|>
<... | 4,703 |
<|im_start|>user
Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Four
three placed fla... | 68,753 |
<|im_start|>user
If y is divisible by the square of an even prime number and x is the actual square of an even prime number, then what is the units digit of x^y?
Answer Choices: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
even prime number is 2, and its square=4
thus y=4k ;k=1,2,3,,... | 26,798 |
<|im_start|>user
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If t... | 48,239 |
<|im_start|>user
Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 12ft how many poles do he need?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
If each side is 120 feet..then total perimeter is 120*4=480
poles every 12 fe... | 95,114 |
<|im_start|>user
On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 140 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
Answer Choices: (A) 14.83 (B) 14.81 (C) 14.8 (D) 15.25 (... | 55,211 |
<|im_start|>user
In a box, there are 3 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Answer Choices: (A) 4/14 (B) 5/16 (C) 8/32 (D) 2/32 (E) 9/32<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of bulbs = (3 + 7 + 4) = 14.
Le... | 56,537 |
<|im_start|>user
A train covers a distance of 12 km in 10 minutes. If it takes 9 seconds to pass a telegraph post, then the length of the train is
Answer Choices: (A) 100m (B) 120m (C) 140m (D) 160m (E) 180cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed =12/10x 60 km/hr = 72 x5/18m/sec = 20 m/s... | 79,495 |
<|im_start|>user
(128.5 x 64) + (13.8 x 465) = ? x 25
Answer Choices: (A) 524.48 (B) 556.02 (C) 574.36 (D) 585.64 (E) 595.46<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
? = (128.5 x 64) + (13.8 x 465)/25
= 8224 + 6417/25 = 585.64
The answer is D<|endoftext|> | 18,850 |
<|im_start|>user
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Answer Choices: (A) 27 (B) 28 (C) 31 (D) 35 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the s... | 74,504 |
<|im_start|>user
2 + 2^2 + 2^3 + ... + 2^8 = ?
Answer Choices: (A) 510 (B) 610 (C) 710 (D) 810 (E) 910<|im_end|>
<|im_start|>assistant
<think>
</think>
Given series is a G.P. with a = 2, r = 2 and n = 8.
Therefore, sum = a(r^n-1)/(r-1) = 2 x (2^8 –1)/(2-1) = (2 x 255) =510
The answer is A<|endoftext|> | 20,245 |
<|im_start|>user
How many workers are required for completing the construction work in 10 days?
I.20% of the work can be completed by 8 workers in 8 days.
II.20 workers can complete the work in 16 days.
III.One-eighth of the work can be completed by 8 workers in 5 days.
Answer Choices: (A) I only (B) II and III only (C... | 10,413 |
<|im_start|>user
What is the term for a scalar measure of how quickly an object is moving along this line?
Answer choice: (A) velocity (B) motion (C) force (D) speed<|im_end|>
<|im_start|>assistant
<think>
</think>
One dimensional motion describes objects moving in straight lines. Speed is a scalar measure of how qui... | 11,265 |
<|im_start|>user
Triggered by changes in the environment, migration and hibernation occur as cycles on what temporal basis?
Answer choice: (A) bi-annually (B) seasonally (C) annual (D) monthly<|im_end|>
<|im_start|>assistant
<think>
</think>
Examples of behaviors with annual cycles include migration and hibernation. ... | 206 |
<|im_start|>user
Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent?
Answer Choices: (A) 12% (B) 16% (C) 18% (D) 24.8% (E) 23%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total CP = Rs. 42000 + Rs. 10000 = Rs. 52000 and SP
= Rs. 64900
Profit(... | 12,479 |
<|im_start|>user
A student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 6 (E) 11<|im_end|>
<|im_start|>assistant
<think>
... | 43,704 |
<|im_start|>user
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'U', then how many triangles can be determined with the 15 points that contain the point U?
Answer Choices: (A) 182 (B) 105 (C) 185 (D) 210 (E) 455<|im_end|>
<|im_start|>assistant
<think... | 29,506 |
<|im_start|>user
A man sells two articles for Rs.3600 each and he gains 48% on the first and loses 48% on the next. Find his total gain or loss?
Answer Choices: (A) 9% loss (B) 400 (C) 4000 (D) 324 (E) 23.04%loss<|im_end|>
<|im_start|>assistant
<think>
</think>
(48*48)/100 = 23.04%loss
The answer is E<|endoftext|> | 17,812 |
<|im_start|>user
A WNBA player just signed a new contract in which she will earn a 5% increase in base pay from last year to this year. Last year, she did not have a performance bonus; but this year, she will have the opportunity to earn up to a $40,000 performance bonus. If she earns the full performance bonus, her ne... | 81,991 |
<|im_start|>user
Which philosopher's ideas influenced the concept of separation of powers in government and the importance of individual rights?
Answer choice: (A) Montesquieu. (B) Rousseau. (C) Voltaire. (D) Hobbes.<|im_end|>
<|im_start|>assistant
<think>
</think>
Montesquieu's theories on government laid the ground... | 233 |
<|im_start|>user
In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
A
The answer is 0.
As
6 / 7 ... | 82,002 |
<|im_start|>user
How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Answer Choices: (A) 482 (B) 1205 (C) 992 (D) 837 (E) 923<|im_end|>
<|im_start|>assistant
<think>
</think>
50000(11/10)4 - 50... | 86,961 |
<|im_start|>user
John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?
Answer Choices: (A) $2600 (B) $3000 (C) $2250 (D) $2750 (E) $3500<|im_end|>
<|im_start|>assistant
<think>
</think>
Final number = Initial number + 20%(original number) = 2500... | 11,539 |
<|im_start|>user
If four coins are tossed, the probability of getting two heads and two tails is -.
Answer Choices: (A) 1/2 (B) 3/5 (C) 4/3 (D) 3/8 (E) 9/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six way... | 83,929 |
<|im_start|>user
In what time will a train 100 meters long cross an electric pole, if its speed is 162 km/hr
Answer Choices: (A) 8.5 seconds (B) 2.22 seconds (C) 3.5 seconds (D) 2.5 seconds (E) 2.6 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
First convert speed into m/sec
Speed = 162*(5/18) = 45 m/sec
Ti... | 76,984 |
<|im_start|>user
For four days of work, a clerk had daily earnings of $190, $180, $190, and $190 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Answer Choices: (A) Between $10 and $100 (B) Between $25and $50 (C) Between $0 and $10 (D) Between $50 and $100 (E) Be... | 66,623 |
<|im_start|>user
If a and b are multiples of 8 then which are all the multiples of 8
1) a*b
2) a-b
3) a+b
4) a/b
5) a^b
Answer Choices: (A) 1,2,5 (B) 1,3 (C) 2,3,4,5 (D) 1,2,3,5 (E) all of these<|im_end|>
<|im_start|>assistant
<think>
</think>
a*b a^b a+b a-b are multiples of 6 except a/b
The answer is D<|endoftext|> | 17,710 |
<|im_start|>user
Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Answer Choices: (A) 5 sec (B) 6 sec (C) 7 sec (D) 8 sec (E) 9 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
70 + 60 = 1... | 51,223 |
<|im_start|>user
A local bank that has 23 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of di... | 32,418 |
<|im_start|>user
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
Answer Choices: (A) 20 (B) 45 (C) 55 (D) 90 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
number of handshakes = 10C2= 10*9/2 = 45
The answer is B<... | 48,636 |
<|im_start|>user
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 1000 Km?
Answer Choices: (A) 10. (B) 25. (C) 30. (D) 38 (E) 50.... | 63,146 |
<|im_start|>user
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Answer Choices: (A) 30/83 hours (B) 80/13 hours (C) 30/19 hours (D) 30/13 hours (E) 31/13 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed do... | 96,502 |
<|im_start|>user
In one hour,a boat goes 11 km along the stream and 5 km against the stream.The speed of the boat in still water (in km/hr) is :
Answer Choices: (A) 3 (B) 5 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed in still water =1/2(11+5)kmph.= 8 kmph.
The answer is C<|endof... | 63,152 |
<|im_start|>user
Find the income derived from 88 shares of $ 25 each at 5 premium,
brokerage being (1/4) per share and the rate of dividend being 7(1/2)% per annum. Also, find the rate of interest on the investment.
Answer Choices: (A) 6.2% (B) 7.5% (C) 6.5% (D) 8.2% (E) 4.6%<|im_end|>
<|im_start|>assistant
<think>
</... | 75,801 |
<|im_start|>user
How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
Answer Choices: (A) 22 sec (B) 27 sec (C) 25 sec (D) 24 sec (E) 28 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
D = 100 + 180 = 280
S = 36 * 5/18 = 10 mps
T ... | 35,492 |
<|im_start|>user
The time on a clock is 20 minutes past 5. What is the angle between the hands of the clock?
Answer Choices: (A) 60 degrees (B) 20 degrees (C) 30 degrees (D) 50 degrees (E) 40 degrees<|im_end|>
<|im_start|>assistant
<think>
</think>
The hour hand rotates 360 degrees in twelve hours.
The hour hand rota... | 30,822 |
<|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.
Volume is a measurement of how much space something takes up.
There are many different units of v... | 3,792 |
<|im_start|>user
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Answer Choices: (A) 17 days (B) 11 days (C) 12 days (D) 15 days (E) 10 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 35,310 |
<|im_start|>user
An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Answer Choices: (A) 4/9 (B) 2/3 (C) 3/4 (D) 5/6 (E) 6/8<|im_end|>
<|im_start|>assistant
<think>
</think>
2/3 ---- 12
? ----- 8 ==> 4/9
The answer is A<|endoftext|> | 45,870 |
<|im_start|>user
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 750 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
Answer Choices: (A) 3.84 (B) 1.75 (C) 3.36 (D) 2.72 (E) None of these... | 1,342 |
<|im_start|>user
Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 mi... | 454 |
<|im_start|>user
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:20 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Answer Ch... | 46,184 |
<|im_start|>user
Five women can do a work in ten days. 7 men can complete the same work in 5 days. What is the ratio between the capacity of a man and a woman?
Answer Choices: (A) 10:7 (B) 11:10 (C) 2:3 (D) 3:2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(50 × 10) women can comple... | 39,744 |
<|im_start|>user
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Answer Choices: (A) 22 (B) 77 (C) 18 (D) 99 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (6... | 7,536 |
<|im_start|>user
A number is doubled and 8 is added. If the resultant is trebled, it becomes 84. What is that number?
Answer Choices: (A) 10 (B) 6 (C) 8 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the number be x.
Then, 3(2x + 8) ‹=› 84
‹=› 2x+8 = 28
‹=› 2x... | 78,404 |
<|im_start|>user
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#36?
Answer Choices: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
First, let's translate the exp... | 31,913 |
<|im_start|>user
Company P had 15 percent more employees in December than it had in January. If Company P had 500 employees in December, how many employees did it have in January?
Answer Choices: (A) 391 (B) 435 (C) 410 (D) 423 (E) 445<|im_end|>
<|im_start|>assistant
<think>
</think>
D = number of employees in D... | 27,570 |
<|im_start|>user
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Answer Choices: (A) A) Rs.150 (B) B) Rs.132 (C) C) Rs.100 (D) D) Rs.125 (E) E) Rs.225<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
The answer is B<|endoftext|> | 3,158 |
<|im_start|>user
How many words, with or without meaning, can be formed using all letters of the word BEAUTIFUL using each letter exactly once?
Answer Choices: (A) 388,620 (B) 388,260 (C) 362,880 (D) 352,880 (E) 342,880<|im_end|>
<|im_start|>assistant
<think>
</think>
The Word BEAUTIFUL has exactly 9 letters which ar... | 19,957 |
<|im_start|>user
Take number 1000 and then add 20 to it.
Now add 1000 one more time.
Now add 30.
Now add 1000 one more time.
Now add 40.
Now add 1000 one more time.
Now add 10.
What is the total?
Answer Choices: (A) 4100 (B) 3870 (C) 5200 (D) 6230 (E) 8340<|im_end|>
<|im_start|>assistant
<think>
</think>
A
4100
some ... | 52,387 |
<|im_start|>user
(74 + 75 + 76 + 77 + ..... + 149 + 150) = ?
Answer Choices: (A) 8624 (B) 8634 (C) 8654 (D) 8644 (E) 8677<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of first n natural numbers
= (1 + 2 + 3 + ..... + n) = n(n+1)/2
(74 + 75 + 76 + .....+ 150)
=(1 + 2 + .... + 73 + 74 + 75 + .....+... | 96,112 |
<|im_start|>user
A train 330 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Answer Choices: (A) 30 sec (B) 32 sec (C) 36 sec (D) 38 sec (E) 44 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (25+2) km/hr = 27 k... | 86,668 |
<|im_start|>user
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Answer Choices: (A) 25 (B) 35 (C) 38 (D) 29 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
excluded number = (27 x 5) - (25 x 4)
= 135 - 100
= 35.
The answer is B<|endoftext|> | 26,477 |
<|im_start|>user
Find the surface area of a 10cm*4cm*3cm brick.
Answer Choices: (A) 154 cm square (B) 156 cm square (C) 160 cm square (D) 164 cm square (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Surface area of a cuboid = 2(lb+bh+hl) cm square
So,
Surface area of a brick = 2(10*4+... | 70,595 |
<|im_start|>user
A man can row upstream at 8kmph and downstream at 13 kmph.The speed of the stream is :
Answer Choices: (A) 2.5 km/hr (B) 4.2 km/hr (C) 5 km/hr (D) 10.5 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed of stream =1/2(13-8) kmph = 2.5 kmph .
The answer is A<|endof... | 37,600 |
<|im_start|>user
A cab driver 5days income was $40, $50, $60, $65 , $80. Then his average income is?
Answer Choices: (A) A) $58 (B) B) $42 (C) C) $65 (D) D) $59 (E) E) $62<|im_end|>
<|im_start|>assistant
<think>
</think>
avg = sum of observations/number of observations
avg income=(40+50+60+65+80)/5 = 59
The answer is... | 6,405 |
<|im_start|>user
25 people went to a hotel for combine dinner party 15 of them spent Rs. 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25. What was the total money spent by them.
Answer Choices: (A) 1628.4 (B) 1534 (C) 1492 (D) 158.25 (E) None of these<|im_end|>
<|im_start|>assist... | 53,698 |
<|im_start|>user
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Answer Choices: (A) Rs.800 (B) Rs.810 (C) Rs.820 (D) Rs.900 (E) Rs.920<|im_end|>
<|im_start|>assistant
<think>
</think>
Option C
The answer is C<|endofte... | 4,726 |
<|im_start|>user
There are two sections C and D of a class, consisting of 18 and 22 students respectively. If the average weight of sections C is 20 kg and that of sections D is 18 kg. Find the average weight of the whole class
Answer Choices: (A) 18.7 (B) 18.8 (C) 18.9 (D) 19.9 (E) None<|im_end|>
<|im_start|>assistant... | 90,631 |
<|im_start|>user
The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp
Answer Choices: (A) 3278 (B) 1028 (C) 1022 (D) 1029 (E) 1032<|im_end|>
<|im_start|>assistant
<think>
<... | 20,147 |
<|im_start|>user
Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Tharak's age. After further 6 years, how many times would he be of Tharak's age?
Answer Choices: (A) 1.52 times (B) 1.83 times (C) 2.83 times (D) 0.83 times (E) 6.2 times<|im_end|>
<|im_start|>assista... | 60,322 |
<|im_start|>user
A wolf eats 5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in three days?
Answer Choices: (A) 10.5 (B) 9.75 (C) 8.25 (D) 7.15 (E) 6.0<|im_end|>
<|im_start|>assistant
<think>
</think>
3/2*5+3/4*3=9.75 kg
B
The answer is B<|endoftext|> | 24,745 |
<|im_start|>user
Find the odd man out. 12, 21, 32, 45, 60, 77, 95
Answer Choices: (A) 45 (B) 95 (C) 32 (D) 21 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
12 + 9 = 21
21 + 11 = 32
32 + 13 = 45
45 + 15 = 60
60 + 17 = 77
77 + 19 = 96
Hence, 95 is wrong. 96 should have come in place of 95
The answer is B<|end... | 2,880 |
<|im_start|>user
Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and two man. What is the probability that 2 men and 2 women will be selected ?
Answer Choices: (A) 1/6 (B) 1/4 (C) 2/7 (D) 1/3 (E) 5/12<|im_... | 28,636 |
<|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 1/7% (B) 11 7/7% (C) 11 1/9% (D) 71 1/9% (E) 11 1/2%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 --- 100
100 --- ? => 11 1/9%
The answer is C<|endof... | 74,193 |
<|im_start|>user
What is produced by the sebaceous glands?
Answer choice: (A) pheromone (B) sperm (C) progesterone (D) sebum<|im_end|>
<|im_start|>assistant
<think>
</think>
Structures in the dermis include hair follicles and sebaceous glands, which produce sebum.
The answer is D<|endoftext|> | 9,408 |
<|im_start|>user
Brandon has cans of both diet soda as well as regular soda. The ratio of diet soda to regular soda is 3 to 7. He has 12 more cans of soda than diet. How many cans of diet soda does he have left?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x equa... | 80,385 |
<|im_start|>user
a,b,c are positive numbers such that they are in increasing Geometric progression then how many such numbers are there in (loga+logb+logc)/6 =log6
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
given that a,b,c are in gp
so b/a=c/b =>b^2=ac
(loga+logb+l... | 30,108 |
<|im_start|>user
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs.2.40 per hour for regular work and Rs.3.20 per hours for overtime. If he earns Rs.432 in 4 weeks, then how many hours does he work for?
Answer Choices: (A) 160 (B) 175 (C) 180 (D) 195 (E) 185<|im_end|>
... | 16,408 |
<|im_start|>user
What number comes next?
428, 693, 714, 286, 937, ?
Answer Choices: (A) 142 (B) 231 (C) 245 (D) 148 (E) 123<|im_end|>
<|im_start|>assistant
<think>
</think>
A
142
The numbers 42869371 are being repeated in the same sequence.
The answer is A<|endoftext|> | 44,348 |
<|im_start|>user
A pulley is a simple machine that consists of a grooved wheel and?
Answer choice: (A) a rope (B) a battery (C) a wedge (D) a lever<|im_end|>
<|im_start|>assistant
<think>
</think>
Another simple machine that uses a wheel is the pulley. A pulley is a simple machine that consists of a rope and grooved ... | 10,320 |
<|im_start|>user
The average of first five multiples of 2 is?
Answer Choices: (A) 6 (B) 8 (C) 9 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = 2(1 + 2 + 3 + 4 + 5)/5
= 30/5
= 6.
The answer is A<|endoftext|> | 45,296 |
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