text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
An amount of Rs. 65000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Answer Choices: (A) s. 52500; Rs. 47500 (B) s. 40625; Rs. 24375 (C) s. 72500; R... | 16,053 |
<|im_start|>user
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
Answer Choices: (A) 26.34 litres (B) 27.36 liters (C) 28 litres (D) 29.16 litres (E) cannot be ... | 91,967 |
<|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... | 247 |
<|im_start|>user
In six successive games, a baseball team scored 2 runs once, 8 runs twice, and 12 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?
Answer Choices: (A) 9 (B) 7 (C) 6 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
2... | 38,154 |
<|im_start|>user
Where in the female body does egg production take place?
Answer choice: (A) testes (B) uterus (C) endometrium (D) ovaries<|im_end|>
<|im_start|>assistant
<think>
</think>
Egg production takes place in the ovaries. It occurs in several steps:.
The answer is D<|endoftext|> | 5,953 |
<|im_start|>user
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 600 per sq. metre.
Answer Choices: (A) Rs. 12375 (B) Rs. 15550 (C) Rs. 15600 (D) Rs. 16500 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Area of the floor = (... | 85,596 |
<|im_start|>user
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:4. The marks obtained by Vijay and Abhishek are in the ratio of?
Answer Choices: (A) 3:4 (B) 3:5 (C) 6:5 (D) 3:6 (E) 3:8<|im_end|>
<|im_start|>assistant
<think>
</think>
4:5
3:4
-----... | 35,216 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 585 |
<|im_start|>user
What are the names of foul-smelling amines, formed as a part of the decay process after death?
Answer choice: (A) formaldehyde and cadaverine (B) sulfur and formaldehyde (C) cadaverine and putrescine (D) methane and sulfur<|im_end|>
<|im_start|>assistant
<think>
</think>
Neutral amines are weak bases... | 10,379 |
<|im_start|>user
As with other organic compounds that form hydrogen bonds, water solubility of amines is reflected in the length of what?
Answer choice: (A) hydrocarbon bonds (B) complex carbohydrates (C) nuclei chains (D) carbon chains<|im_end|>
<|im_start|>assistant
<think>
</think>
Amines are capable of hydrogen b... | 1,700 |
<|im_start|>user
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Answer Choices: (A) 432 sq m (B) 356 sq m (C) 452 sq m (D) 428 sq m (E) 528 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
The answer is A<|e... | 56,862 |
<|im_start|>user
The area of playground is 5700 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
Answer Choices: (A) a) $144 (B) b) $150.50 (C) c) $159.6 (D) d) $158.60 (E) e) $160.70<|im_end|>
<|im_start|>assistant
<think>
</think>
tota... | 97,119 |
<|im_start|>user
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Answer Choices: (A) 2999 (B) 2789 (C) 3700 (D) 1032 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 1.75 * x
= 11000
x = 1000
The answer is E<|endoftext|> | 82,365 |
<|im_start|>user
What are the organelles on which proteins are made during protein synthesis called?
Answer choice: (A) ribosomes (B) mitochondria (C) lysosomes (D) fibroblasts<|im_end|>
<|im_start|>assistant
<think>
</think>
Ribosomes are the organelles on which proteins are made during protein synthesis . Ribosomes... | 3,446 |
<|im_start|>user
Aunt Marge is giving candy to each of her nephews and nieces. She has 20 pieces of candy and she gives all the candy to the children according to her wish. If Robert gets 2 more pieces than Kate, Bill gets 6 less than Mary, Mary gets 2 more pieces than Robert, and Kate gets 2 more pieces than Bill, how... | 78,573 |
<|im_start|>user
In one hour, a boat goes 12 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Answer Choices: (A) 1 km/hr (B) 2 km/hr (C) 10 km/hr (D) 11 km/hr (E) 12 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let speed of the boat in still water =... | 66,610 |
<|im_start|>user
The sum of first five prime numbers is:
Answer Choices: (A) 10 (B) 15 (C) 69 (D) 28 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required sum = (2 + 3 + 5 + 7 + 11) = 28.
The answer is D<|endoftext|> | 17,680 |
<|im_start|>user
A library has an average of 175 visitors on Sundays and 75 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Answer Choices: (A) 80 (B) 90 (C) 100 (D) 110 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Since the month begin... | 16,595 |
<|im_start|>user
if the ratio of two number is 5:7 and LCM of the number is 320 then what is the number.
Answer Choices: (A) 15 (B) 9 (C) 10 (D) 11 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
product of two no = lcm *hcf
5x*7x=320*x
x=9
The answer is B<|endoftext|> | 32,476 |
<|im_start|>user
There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 59 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
lets assign varia... | 48,224 |
<|im_start|>user
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 3 type B widgets is equal to the weight of 7 type C widgets. W... | 27,049 |
<|im_start|>user
The Full House Casino is running a new promotion. Each person visiting the casino has the opportunity to play the Trip Aces game. In Trip Aces, a player is randomly dealt three cards, without replacement, from a deck of 8 cards. If a player receives 3 aces, they will receive a free trip to one of 10 va... | 44,361 |
<|im_start|>user
A train 105 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Answer Choices: (A) 22 (B) 50 (C) 42.8 (D) 288 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative to man = (105/10) m/sec =... | 4,124 |
<|im_start|>user
At 30 minutes past 7 o'clock, what is the angle between the two hands?
Answer Choices: (A) 15 (B) 30 (C) 45 (D) 60 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
The hour hand moves 360 degrees in 12 hours.
The hour hand moves 30 degrees in 1 hour and 15 degrees in 30 minutes.
The minute han... | 82,177 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 819 |
<|im_start|>user
The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
Answer Choices: (A) 240 (B) 270 (C) 295 (D) 360 (E) NOne<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the smaller number be x... | 69,100 |
<|im_start|>user
In amniotes that lay eggs, the shell of the egg provides protection for the developing embryo while being permeable enough to allow for the exchange of carbon dioxide and this?
Answer choice: (A) gas (B) tissue (C) oxygen (D) Protein<|im_end|>
<|im_start|>assistant
<think>
</think>
Characteristics of... | 5,399 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 6,348 |
<|im_start|>user
What are plants that grow where people don't want them to and can take up space and use resources which hinders growth of more desirable plants?
Answer choice: (A) weeds (B) native plants (C) shrubs (D) grasses<|im_end|>
<|im_start|>assistant
<think>
</think>
We obviously can’t live without plants, b... | 2,676 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 624 |
<|im_start|>user
In the mammal family, what is the name for hoofed animals, such as deer, sheep, goats, pigs, buffalo, elephants and giraffes?
Answer choice: (A) primates (B) bovines (C) ungulates (D) rodents<|im_end|>
<|im_start|>assistant
<think>
</think>
Ungulates include hoofed animals, such as deer, sheep, goats... | 11,209 |
<|im_start|>user
How many different 4-digit numbers can be written using the digits 1 to 8 without repetition such that the number always contains the digit 2?
Answer Choices: (A) 360 (B) 560 (C) 760 (D) 840 (E) 1260<|im_end|>
<|im_start|>assistant
<think>
</think>
The most restrictive case. We should have a two.
No ... | 54,508 |
<|im_start|>user
What are the three major types of blood vessels?
Answer choice: (A) arteries , pups , capillaries (B) arteries, veins, capillaries (C) arteries, capilaries, tubes (D) sculptures , veins , capillaries<|im_end|>
<|im_start|>assistant
<think>
</think>
Blood vessels form a network throughout the body to ... | 3,654 |
<|im_start|>user
A bicycle at Store P costs $200. The regular price of the same bicycle at Store Q is
15% more than it is at Store P. The bicycle is on sale at Store Q for 10% o of the
regular price. What is the sale price of the bicycle at Store Q?
Answer Choices: (A) $230 (B) $201 (C) $199 (D) $207 (E) $210<|im_end|>... | 51,273 |
<|im_start|>user
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
Answer Choices: (A) 7hours 75 mins (B) 7 hours (C) 8 hours (D) 5 hours (E) 6 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
G... | 45,210 |
<|im_start|>user
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.
Answer Choices: (A) Rs. 12000 (B) Rs. 19500 (C) Rs. 18000 (D) Rs. 16500 (E) Rs. 18090<|im_end|>
<|im_start|>assistant
<think>
</think>
Area =5.5×3.75 sq. metre.
Cost f... | 78,638 |
<|im_start|>user
Today Joelle opened an interest-bearing savings account and deposited $6,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Answer Choices: (A) $6715 (B) $5615 (C) $6415 (D) $6... | 83,937 |
<|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) 3783 (C) 1837 (D) 3799 (E) 3786<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 140
100% ---- ? =>
Rs.1000
The answer... | 4,790 |
<|im_start|>user
How much interest will $10,000 earn in 9 months at an annual rate of 6%?
Answer Choices: (A) $250 (B) $350 (C) $450 (D) $550 (E) $650<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:-
9 months = 3/4 of year;
6% = 6/100=3/50;
$10,000(principal)*3/50(interest rate)*3/4(time)=$450.
The answer is C... | 19,943 |
<|im_start|>user
David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 50% in the transaction?
Answer Choices: (A) Rs. 180.50 (B) Rs. 187.50 (C) Rs. 107.50 (D) Rs. 188.50 (E) Rs. 187.00<|im_end|>
<|im_start|>assista... | 35,437 |
<|im_start|>user
The total of the ages of Amar, Akbar and Anthony is 40 years. What was the total of their ages two years ago ?
Answer Choices: (A) 71 (B) 44 (C) 36 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required sum = (40 - 3 x 2) years = (40 - 6) years = 36 years.
The answer is ... | 1,425 |
<|im_start|>user
How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A. 3.5 years
Answer Choices: (A) 7 years (B) 4 years (C) 5 years (D) 3 years (E) 1 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = (100 * 81) / (450 * 4.5) = 4 years.
The a... | 42,288 |
<|im_start|>user
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets... | 17,870 |
<|im_start|>user
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction.In how much time will the train pass the jogger?
Answer Choices: (A) 3.6 sec (B) 18 sec (C) 36 sec (D) 72 sec (E) none<|im_end|>
<|im_start|>assista... | 22,029 |
<|im_start|>user
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Answer Choices: (A) 3.5 years (B) 4years (C) 4.5years (D) 5years (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Time = (100 x 81)/(450 x 4.5) years
= ... | 60,909 |
<|im_start|>user
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Answer Choices: (A) 7 km (B) 3 km (C) 6 km (D) 9 km (E) 2 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Average... | 30,185 |
<|im_start|>user
If $ 5,000 is invested in an account that earns 8% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Answer Choices: (A) $ 4 (B) $ 8 (C) $ 12 (D) $ 16 (E) $ 432<|im_end|>
<|im_start|>a... | 79,574 |
<|im_start|>user
What are substances that provide hydrogen ions (h+) and lower ph?
Answer choice: (A) proteins (B) nutrients (C) acids (D) bases<|im_end|>
<|im_start|>assistant
<think>
</think>
Acids are substances that provide hydrogen ions (H+) and lower pH, whereas bases provide hydroxide ions (OH–) and raise pH. ... | 4,945 |
<|im_start|>user
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 1/2 % his yearly income diminishes by Rs.61.50. his capital is
Answer Choices: (A) 223.78 (B) 37.78 (C) 24.6 (D) 278.88 (E) 123.0<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Capital = Rs.x , then
1/2... | 17,569 |
<|im_start|>user
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 7, t... | 79,365 |
<|im_start|>user
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Answer Choices: (A) 298 m (B) 268 m (C) 500 m (D) 267 m (E) 181 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the le... | 61,717 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rocks are made of minerals. Here are some properties of rocks:
They are solid.
They are formed in nature.
They are not made by living things.
They are not pure substances.
Question:
Select the one substance that is not a ro... | 6,028 |
<|im_start|>user
What percent is 50 gm of 1 kg?
Answer Choices: (A) 0.5 % (B) 1% (C) 1.5% (D) 2% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
1 kg = 1000 gm
50/1000 × 100 = 5000/1000
=5%
E)
The answer is E<|endoftext|> | 54,953 |
<|im_start|>user
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Answer Choices: (A) 277 m (B) 420 m (C) 617 m (D) 868 m (E) 651 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the... | 15,043 |
<|im_start|>user
Which number is a factor of 20?
Answer Choices: (A) 3 (B) 4 (C) 7 (D) 18 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
A whole number that divides exactly into another whole number is called a factor
20/5 =4
The answer is B<|endoftext|> | 97,182 |
<|im_start|>user
BILAL spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
Answer Choices: (A) 5316 (B) 4792 (C) 5817 (D) 6080 (E) 6083<|im_end|>
<|im_start|>ass... | 11,210 |
<|im_start|>user
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 83 more candidates got selected than A. What was the number of candidates appeared from each State?
Answer Choic... | 97,091 |
<|im_start|>user
Given that 2x + 17 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Answer Choices: (A) -4 and -1 (B) -1 and 4 (C) -4 and 1 (D) -6 and 4 (E) 2 and 5<|im_end|>
<|im_start|>assistant
<think>
</think>
2x + 17 > 5
i.e 2x >5-17
i.e. 2x > -12
i.e. x > -6
Also, ... | 70,075 |
<|im_start|>user
In a village of 2,500 people, 800 people are over 70 years old and 850 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years ... | 90,804 |
<|im_start|>user
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3200, A will get:
Answer Choices: (A) Rs.1200 (B) Rs.1500 (C) Rs. 1920 (D) Rs.2000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 46,529 |
<|im_start|>user
If on an item a company gives 25% discount and 25% profit it makes. if they now gives 10% discount then the profit %age made by the company will be...
Answer Choices: (A) 40 (B) 55 (C) 35 (D) 30 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the Marked Price of the item is x and the Cost... | 8,289 |
<|im_start|>user
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 25 p coins are there?
Answer Choices: (A) 20 (B) 30 (C) 25 (D) 50 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively... | 14,101 |
<|im_start|>user
If 12 men do a work in 80 days, in how many days will 16 men do it?
Answer Choices: (A) 60 (B) 30 (C) 50 (D) 40 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
12 * 80 = 16 * x
x = 60 days
The answer is A<|endoftext|> | 11,939 |
<|im_start|>user
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 19 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)
and Rupesh + 6 = | (Ravi + 6) ...(ii)
Solving bot... | 31,040 |
<|im_start|>user
The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
Answer Choices: (A) 17 (B) 30 (C) 87 (D) 27 (E) 82<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three parts A, B, C.
Then, A:B = 2:3 and B... | 15,014 |
<|im_start|>user
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet? (43,560 square feet = 1 acre)
Answer Choices: (A) $5,330 (B) $3,360 (C) $450 (D) $360 (E) $150<|im_end|>
<|im_start|>assistant
<thi... | 46,035 |
<|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.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 1,204 |
<|im_start|>user
If xy > 0, 1/x + 1/y = 6, and 1/xy = 12, then (x+y)/6 = ?
Answer Choices: (A) 1/12 (B) 1/6 (C) 1/5 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
(1/X+1/Y)=6 canbe solved as {(x+y)/xy}=12. Substituting for 1/xy=12, we get
x+y=6/12
==> (x+y)/6= 6/(12*6)=1/12.
A
The answer is A<|endoftext... | 86,626 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 4,828 |
<|im_start|>user
If u r genius solve it:-
50 * 15 = 12
40 * 14 = 11
30 * 13 = ?
Answer Choices: (A) 2 (B) 12 (C) 6 (D) 8 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Logic :
50*15=750=7+5+0=12
40*14=560=5+6+0=11
So 30*13=390=3+9+0=12
The answer is B<|endoftext|> | 68,728 |
<|im_start|>user
You are renting an apartment and you need √900 for each side, how many feet are you looking to measure?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Try filling the numbers into the answer y x y =
Find the closest to 900.
The answer is E<|endofte... | 32,711 |
<|im_start|>user
Two dice are rolled. What is the probability the sum will be greater than 10?
Answer Choices: (A) 1/5. (B) 1/6 (C) 5/3 (D) 1/12 (E) 1/9<|im_end|>
<|im_start|>assistant
<think>
</think>
3 possible rolls greater than 10. 5/6, 6/5, and 6/6
There are 36 possible combinations of rolling 2 dice.
3/36 = 1/1... | 61,970 |
<|im_start|>user
Pipe A can fill a tank in 5 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Answer Choices: (A) 67 (B) 10 (C) 18 (D) 26 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the leak can empty the full t... | 85,903 |
<|im_start|>user
Rust consists of oxides of what element?
Answer choice: (A) iron (B) Copper (C) Gold (D) Aluminum<|im_end|>
<|im_start|>assistant
<think>
</think>
Rust is a combination of several different oxides of iron. The equations below show the steps involved in one of the many processes of rust formation.
The... | 2,168 |
<|im_start|>user
Besides the concentration of dissolve oxygen and nutrients in the water, what other factor limits aquatic organisms?
Answer choice: (A) availability of sunlight (B) rainfall (C) temperature (D) lake size<|im_end|>
<|im_start|>assistant
<think>
</think>
Most aquatic organisms do not have to deal with ... | 5,030 |
<|im_start|>user
The mean of 20 values was 150. It was detected on rechecking that one value 160 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Answer Choices: (A) 151 (B) 149 (C) 151.25 (D) 148 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Corrected mean = ... | 12,401 |
<|im_start|>user
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 kmph (B) 67 kmph (C) 15 kmph (D) 88 kmph (E) 12 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the ... | 92,468 |
<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 22 overs to reach the target of 282 runs?
Answer Choices: (A) 6.25 (B) 11.36 (C) 7.4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Runs scored in the first 10 o... | 53,800 |
<|im_start|>user
On average, Machine A will produce a completed item once every six minutes, and Machine B will produce a completed item once every ten minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same ... | 71,321 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 65 |
<|im_start|>user
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs.24. The present worth is
Answer Choices: (A) Rs. 480 (B) Rs. 520 (C) Rs. 600 (D) Rs. 960 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
T.D = (B.G x 100/Rate x Time)
= Rs.(24x100 / 10x 2)
= Rs.120.
P.W = (... | 23,532 |
<|im_start|>user
Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer Choices: (A) 16 seconds (B) 18 seconds (C) 19 seconds ... | 21,900 |
<|im_start|>user
convert 100 miles into inches?
Answer Choices: (A) 6336000 (B) 6542000 (C) 5462300 (D) 6213000 (E) 6120330<|im_end|>
<|im_start|>assistant
<think>
</think>
1 feet = 12 inches
1 mile = 5280 feet
100 mile = 5280*12*100 = 6336000
The answer is A<|endoftext|> | 15,973 |
<|im_start|>user
Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :
Answer Choices: (A) a) 6 (B) b) 3 (C) c) 2 (D) d) 1 (E) e) 0<|im_e... | 67,885 |
<|im_start|>user
Albert borrowed a total of $ 5800 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1400 as total interest. What is the interest paid to Brian at the end of three years?
Answer Choices: (A) 585 (B) 581 (C) 441 (D) 4... | 40,521 |
<|im_start|>user
A train covers a distance of 100km in 1 hour. If its speed is decreased by 10km/hr, the time taken by the car to cover the same distance will be?
Answer Choices: (A) 1hr (B) 1hr 6min (C) 50min (D) 1hr 30min (E) 1hr 45min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 100/1 = 100km/hr
New sp... | 70,617 |
<|im_start|>user
If the average (arithmetic mean) of a and b is 120, and the average of b and c is 150, what is the value of a − c?
Answer Choices: (A) −60 (B) −100 (C) 100 (D) 135 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
a+b = 240
b+c = 300
a-c = -60.
IM... | 11,624 |
<|im_start|>user
Meena wrote all the numbers from 1 to 29,999 inclusive. How many digits did she write in total?
Answer Choices: (A) 118,889 (B) 138,889 (C) 159,889 (D) 188,789 (E) 188,989<|im_end|>
<|im_start|>assistant
<think>
</think>
1-9=>1*9 digits
10-99=>2*90=180 (numbers between 10-99 is 90 where each has 2 di... | 63,736 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 4,530 |
<|im_start|>user
Which theory describes the benzene molecule and other planar aromatic hydrocarbon molecules as hexagonal rings of sp2-hybridized carbon atoms with the unhybridized p orbital of each carbon atom perpendicular to the plane of the ring?
Answer choice: (A) hybrid orbital theory (B) covalent bond theory (C)... | 1,280 |
<|im_start|>user
The elements are arranged in rows, each representing the filling of what shell?
Answer choice: (A) plasma membrane (B) proton (C) neutron (D) electron<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 8,369 |
<|im_start|>user
35 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 4:3. How many liters of Liquid Q must be added to make the ratio 5:7?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the amount of liquid Q to be added.
(3/7)*3... | 83,211 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 30 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Answer Choices: (A) 35 years (B) 49 years (C) 50 years (D) 55 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
S... | 35,799 |
<|im_start|>user
Tom planted vegetables in a rectangular garden that was 24 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Answer Choices: (A) 165 sq. ft. (B) 166 sq. ft. (C) 167 sq. ft. (D) 168 sq. ft. (E) 169 sq. ft.<|im_end|>
<... | 55,230 |
<|im_start|>user
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many C such committees are possible?
Answer Choices: (A) 20 (B) 40 (C) C=50 (D) C=80 (E) C=120<|im_end|>
<|im_start|>assistant
<think>
</think>... | 22,691 |
<|im_start|>user
Which of the following best approximates the value of q if 20^50+20^11=20^q ?
Answer Choices: (A) 61 (B) 52 (C) 51 (D) 50 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
We have: 20^50+20^11=20^q
==> because 20^11 > 0 --> 20^q MUST be equal or greater than 20^50 ==>q MUST be equal or greater ... | 28,266 |
<|im_start|>user
In a division, divident is 686, divisior is 36 and quotient is 19. Find the remainder.
Answer Choices: (A) A) 4 (B) B) 3 (C) C) 2 (D) D) 5 (E) E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
686 = 36 x 19 + r
686= 684 + r
r = 686 - 684 = 2
The answer is C<|endoftext|> | 3,020 |
<|im_start|>user
What proteins span the entire plasma membrane?
Answer choice: (A) transmembrane (B) sequence (C) amino acids (D) cytoplasm<|im_end|>
<|im_start|>assistant
<think>
</think>
Transmembrane proteins span the entire plasma membrane. Their function is mainly to regulate the transport of specific molecules ... | 1,211 |
<|im_start|>user
The least number which should be added to 4298 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Answer Choices: (A) 12 (B) 22 (C) 32 (D) 42 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 5, 6, 4 and 3 = 60.
On dividing 4298 by 60, the remainder is 38.
Number to be added = ... | 2,866 |
<|im_start|>user
In how many ways can the letters {U, R, R, R, R} be arranged?
Answer Choices: (A) 5 (B) 20 (C) 120 (D) 720 (E) 840<|im_end|>
<|im_start|>assistant
<think>
</think>
My answer : A
There is 5! ways to arrange those letters in total, however letter U repeats 1! times and letter R repeats 4! times
=> the ... | 43,224 |
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