text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Higher pressures increase the solubility of what?
Answer choice: (A) molecules (B) fuels (C) bases (D) gases<|im_end|>
<|im_start|>assistant
<think>
</think>
Higher pressures increase the solubility of gases. You are probably familiar with this concept as it relates to carbonated beverages. Before op... | 5,169 |
<|im_start|>user
Systemic communication through the phloem helps integrate the functions of the whole what?
Answer choice: (A) bird (B) animal (C) insect (D) plant<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 11,225 |
<|im_start|>user
Each side of a certain parallelogram has length 8. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
Answer Choices: (A) 22 (B) 45 (C) 60 (D) 90 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
area of a parallelogram = b*h
b*h=24
h=24/8=3
sin... | 42,919 |
<|im_start|>user
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is:
Answer Choices: (A) 17 runs (B) 19 runs (C) 10 runs (D) 48 runs (E) 12 runs<|im_end|>
<|im_start|>assistant
<think>
</think>
Let average for 10 ... | 65,255 |
<|im_start|>user
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe... | 11,800 |
<|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... | 1,322 |
<|im_start|>user
The equation x/y - 2/5 = 0 is equivalent to each of the following EXCEPT
Answer Choices: (A) (x - y) /y = -3/5 (B) (5x - 3y) /y = 21/5 (C) (x + 3y) /y = 17/5 (D) (x + y) /x = 7/2 (E) x/y + 1 = 7/5<|im_end|>
<|im_start|>assistant
<think>
</think>
x/y - 2/5 = 0
5x=2y
x= 2/5 * y or y = 5/2 *x
plug in x ... | 2,016 |
<|im_start|>user
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 2 men and 2 women will do that task.
Answer Choices: (A) 3/7 (B) 3/10 (C) 3/18 (D) 3/16 (E) 3/11<|im_end|>
<|im_start|>assistant
<think>
</think>
3 m + 8 w = 6 m + 2 w
3 ... | 24,221 |
<|im_start|>user
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is C's share?
Answer Choices: (A) $1200 (B) $1600 (C) $1800 (D) $2000 (E) $2400<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the shares of A, B, C and D be 5x, 2x, 4x and ... | 21,221 |
<|im_start|>user
The three competitors in a race have to be randomly chosen from a group of four men and three women. How many different such trios contain at least one woman?
Answer Choices: (A) 10 (B) 15 (C) 16 (D) 31 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ways to choose three r... | 23,219 |
<|im_start|>user
A work as fast as B. If B can complete a work in 36days independently,the number of days in which A and B can together finish the work in?
Answer Choices: (A) 12days (B) 3days (C) 4days (D) 5days (E) 6days<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of rates of working of A and B = 2:1
rat... | 65,657 |
<|im_start|>user
Two good train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Answer Choices: (A) 12 sec (B) 24 sec (C) 48 sec (D) 60 sec (E) None<|im_end|>
<|i... | 90,072 |
<|im_start|>user
A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
Answer Choices: (A) Rs 2500 (B) Rs 32500 (C) Rs 22500 (D) Rs 32500 (E) Rs 12500<|im_end|>
<|im_start|>assistant
<t... | 25,565 |
<|im_start|>user
Find the sum of all 4 digit numbers formed using digits 1,2,5,6.
Answer Choices: (A) 93324 (B) 92324 (C) 93424 (D) 93424 (E) 93824<|im_end|>
<|im_start|>assistant
<think>
</think>
(n-1)! * (111...n) *(sum of the digits)
=(4-1)!*1111*(1+2+5+6)
=93324
The answer is A<|endoftext|> | 78,480 |
<|im_start|>user
On a certain date, Pat invested $5,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $20,000, in how many years total will the total value of the investment plus interest increase to $40,000?
Answer Choices: (A) 15 (... | 72,701 |
<|im_start|>user
A man is 24 years older than his son.In two years, his age will be twice the age of his son.The present age of the son is :
Answer Choices: (A) 22 (B) 25 (C) 45 (D) 32 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x years. Then, man's present age =(x+24) years.
... | 78,284 |
<|im_start|>user
A toy RC car goes 3 feet per second. A boy wants to add an updated part to his RC that will allow the RC car to travel at 6 feet per second. How far will the upgraded car travel in 1 minute? Round to the nearest hundredth.
Answer Choices: (A) 200 feet (B) 250 feet (C) 300 feet (D) 360 feet (E) 400 feet... | 26,205 |
<|im_start|>user
The owner of a furniture shop charges his customer 30% more than the cost price. If a customer paid Rs. 8450 for a computer table, then what was the cost price of the computer table?
Answer Choices: (A) Rs. 5725 (B) Rs. 5275 (C) Rs. 6275 (D) Rs. 6500 (E) None of these<|im_end|>
<|im_start|>assistant
<t... | 94,763 |
<|im_start|>user
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest... | 8,305 |
<|im_start|>user
If each side of a square is increased by 25%, find the percentage change in its area?
Answer Choices: (A) 65.25 (B) 56.25 (C) 65 (D) 56 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
let each side of the square be a , then area = a x a
New side = 125a / 100 = 5a / 4
New area =(5... | 80,052 |
<|im_start|>user
If two balls are randomly selected from a green urn containing 8 black and 8 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Answer Choices: (A) A... | 59,915 |
<|im_start|>user
If x and y are positive integers and y ≠ 1, then xy(y −1) is
Answer Choices: (A) Always even (B) Always odd (C) Odd only when x is odd (D) Even only when y is even (E) Odd only when xy is odd<|im_end|>
<|im_start|>assistant
<think>
</think>
Expression is xy(y-1). We can ignore x and only work with y.... | 11,941 |
<|im_start|>user
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:
Answer Choices: (A) 4cm (B) 6cm (C) 8cm (D) 10cm (E) 9cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Curved surface are... | 96,605 |
<|im_start|>user
A and B enter into a partnership and invest Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C also joins the business with a capital of Rs. 15,000. The share of C in a profit of Rs. 45,600 after two years is
Answer Choices: (A) Rs. 12,000 (B) Rs. 14,400 (C) Rs. 19,200 (D) Rs. 21,200 (E) Rs. 31,... | 74,749 |
<|im_start|>user
Two goods trains each 75 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 2.3 sec (B) 4.2 sec (C) 48 sec (D) 7.2 sec (E) 9 sec<|im_end|>
<|... | 7,599 |
<|im_start|>user
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 44 years, was replaced by a new person. Find the age of the new person?
Answer Choices: (A) 18 (B) 56 (C) 12 (D) 17 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Initial average age of the 10 pe... | 93,814 |
<|im_start|>user
A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 9 more than the correct answer. Find the number.
Answer Choices: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x.
(5/4) * x = (4/5)*x + ... | 39,484 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 4,277 |
<|im_start|>user
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Answer Choices: (A) 2.5 sec (B) 1.3 sec (C) 7.6 sec (D) 10 sec (E) 3.6 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option A
Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
The answer ... | 91,938 |
<|im_start|>user
Two trains 140 m and 160 m long run at the speed fo 60 k/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Answer Choices: (A) 7 (B) 8.6 (C) 10.8 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Re... | 49,549 |
<|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 the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 1,086 |
<|im_start|>user
Mr Jacobs placed his folders on three chairs in a conference room comprising of 12 chairs, if Mrs Roberts walked in and also placed her folders on 3 chairs, what is the probability that she did no place any of her folders on a chair already containing Mr Jacobs folder?.
Answer Choices: (A) 3/9 (B) 3/55... | 79,765 |
<|im_start|>user
A deer is standing 60 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 33 meters from the tunnel. If the deer ran in the op... | 9,328 |
<|im_start|>user
Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 2 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a ... | 84,107 |
<|im_start|>user
2 identical circles intersect so that their centre and point at which they intersect form a square of 1 cm.the area of portion that is common two circles is
4
Answer Choices: (A) π2-1 (B) 4 (C) √2-1 (D) √5 (E) π/2-1<|im_end|>
<|im_start|>assistant
<think>
</think>
the area of the sector is pi*r^2*90/... | 21,865 |
<|im_start|>user
The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Answer Choices: (A) 1:3 (B) 2:5 (C) 3:2 (D) 9:4 (E) 4:2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C.P. = Rs. 5x and S.P. = Rs. 7x.... | 39,162 |
<|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... | 3,198 |
<|im_start|>user
Two stations A and B are 110 km apart on a straight line. One train starts from A at 5 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Answer Choices: (A) 15 a.m (B) 8 a.m (C) 12 a.m (D) 02 a.m (E) 05... | 80,129 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 5,696 |
<|im_start|>user
In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.
Answer Choices: (A) 15 (B) 14 (C) 21 (D) 25 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let n be the number of persons in the party. Number of han... | 15,841 |
<|im_start|>user
How does the core of the sun radiate energy?
Answer choice: (A) nuclear fission (B) carbon radiation (C) electrical radiation (D) nuclear fusion<|im_end|>
<|im_start|>assistant
<think>
</think>
The extremely hot core of the sun radiates energy from nuclear fusion.
The answer is D<|endoftext|> | 9,936 |
<|im_start|>user
What do you call the force a machine applies to an object?
Answer choice: (A) premium force (B) drop force (C) output force (D) optimal force<|im_end|>
<|im_start|>assistant
<think>
</think>
When you use a machine, you apply force to the machine. This force is called the input force. The machine, in ... | 3,720 |
<|im_start|>user
If an integer x is to be selected at random from 1 to 200, inclusive, what is probability x(x+1) will be divisible by 4?
Answer Choices: (A) 0.5 (B) 1 (C) 0.25 (D) 0.75 (E) 1.25<|im_end|>
<|im_start|>assistant
<think>
</think>
because x(x+1) is always an even product of even*odd or odd*even factors,
... | 46,062 |
<|im_start|>user
The sum of ages of 5 children born at the intervals of 3 years each is 55 years. What is the age of the youngest child?
Answer Choices: (A) 5 years (B) 4 years (C) 6 years (D) 7 years (E) 8 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of children be x, (x + 3), (x + 6), (x + 9)... | 53,180 |
<|im_start|>user
At lovely gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Answer Choices: (A) 20 (B) 24 (C) 36 (D) 48 (E) 96<|im_end|>
<|im_start|>assistan... | 45,346 |
<|im_start|>user
What happens when an increase in temperature of a gas in a rigid container happens?
Answer choice: (A) gas explodes (B) pressure decreases (C) pressure increases (D) container shrinks<|im_end|>
<|im_start|>assistant
<think>
</think>
An increase in temperature of a gas in a rigid container increases t... | 8,611 |
<|im_start|>user
A and B together can do a piece of work in 1 days. If A alone can do the same work in 20days, then B alone can do the same work in?
Answer Choices: (A) 0.35 days (B) 0.45 days (C) 0.55 days (D) 0.25 days (E) 0.95 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B = 1/1 – 1/20 =0.95 days
The answ... | 47,842 |
<|im_start|>user
The present population of a town is 4032. Population increase rate is 20% p.a. Find the population of town before 2 years?
Answer Choices: (A) 2500 (B) 2800 (C) 3500 (D) 3600 (E) 2050<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 4032
R = 20%
Required population of town = P/(1 + R/100)^T
= 403... | 7,384 |
<|im_start|>user
Calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled ?
Answer Choices: (A) 90 hours (B) 80 hours (C) 50 hours (D) 120 hours (E) 110 hours<|im_en... | 3,025 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A thermometer is a tool that measures temperature. Temperature can be measured in degrees. The symbol for degrees is °.
Some thermometers measure temperature in degrees Fahrenheit (°F). Fahrenheit is one scale used to measur... | 1,058 |
<|im_start|>user
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate... | 14,215 |
<|im_start|>user
In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 5 sec (B) 4 sec (C) 3 sec (D) 6 sec (E) 1 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 50/36 * 18/5 = 5 sec
The answer is A<|endoftext|> | 34,095 |
<|im_start|>user
In a shop X number of kinds of fruits are there and 40 number of kinds of vegetables are there, then 1% of vegetable is equal to 20% of fruits then how many kinds of fruits are there
Answer Choices: (A) 20 (B) 35 (C) 70 (D) 90 (E) 1,40<|im_end|>
<|im_start|>assistant
<think>
</think>
1/100(400) = 2/1... | 21,717 |
<|im_start|>user
Ram and shyam start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 4... | 45,679 |
<|im_start|>user
In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Answer Choices: (A) 35 (B) 39 (C) 48 (D) 50 (E) 52<|im_e... | 15,204 |
<|im_start|>user
If the first day of a year (other than leap year) was Tuesday, then which was the last day of that year?
Answer Choices: (A) Saturday (B) Friday (C) Tuesday (D) Monday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given that first day of a normal year was Tuesday
Od... | 32,388 |
<|im_start|>user
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Answer Choices: (A) 8 (B) 76 (C) 17 (D) 7 (E) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
80% --- 12
120% --- ?
80/120 * 12 = 8
The answer is A<|endoftext|> | 87,055 |
<|im_start|>user
A man has Rs. 160 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 30 (B) 60 (C) 75 (D) 90 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
Answ... | 85,947 |
<|im_start|>user
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Answer Choices: (A) 81/256 (B) 15/256 (C) 75/256 (D) 175/256 (E) 95/256<|im_end|>
<|im_start|>assistant
<think>
</think>
The man will hit the target if he hits it once or tw... | 19,873 |
<|im_start|>user
How can a cake(circular) be cut into 8 pieces by making just 3 cuts?
Answer Choices: (A) 21 (B) 787 (C) 37 (D) 26 (E) 01<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Cut the cake using three mutually perpendicular planes. It leaves 8 pieces, one each in each octant.
The answer is A<|... | 91,162 |
<|im_start|>user
A person starting with Rs.64 & making 6 bets, wins three times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If eachwager is for half the money remaining at thetime of the bet, then the final result is?
Answer Choices: (A) Rs.37 ... | 8,754 |
<|im_start|>user
For the past n days, the average (arithmetic mean) daily production at a company was 30 units. If today's production of 90 units raises the average to 35 units per day, what is the value of n ?
Answer Choices: (A) 30 (B) 18 (C) 10 (D) 9 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(average ... | 23,051 |
<|im_start|>user
A store’s selling price of $2500 for a certain printer would yield a profit of 40 percent of the store’s cost for the printer. What selling price would yield a profit of 50 percent of the printer’s cost?
Answer Choices: (A) $2400 (B) $2464 (C) $2650 (D) $2478 (E) $2800<|im_end|>
<|im_start|>assist... | 54,585 |
<|im_start|>user
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 10 years?
Answer Choices: (A) 30 (B) 35 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
(A + B), five years ago = (15 * 2) = 30 years.
(A+B... | 58,839 |
<|im_start|>user
What is the name for a matter that has a fixed volume and a fixed shape?
Answer choice: (A) gas (B) stable (C) solid (D) liquid<|im_end|>
<|im_start|>assistant
<think>
</think>
Ice is an example of solid matter. A solid is matter that has a fixed volume and a fixed shape. Figure below shows examples ... | 2,271 |
<|im_start|>user
Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
Answer Choices: (A) 25 (B) 27.5 (C) 28 (D) 30 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think... | 50,992 |
<|im_start|>user
When n is divided by 20, the remainder is 5. What is the remainder when n + 16 is divided by 5?
Answer Choices: (A) 1 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume n = 15
Remainder (n/20) = 5
n+16 = 31
Remainder (31/5) = 1
Option A
The answer is A<|endoftext|> | 9,048 |
<|im_start|>user
If the time is currently 1:30 pm, what time will it be in exactly 642 hours?
Answer Choices: (A) 3:30 am (B) 4:30 am (C) 5:30 am (D) 6:30 am (E) 7:30 am<|im_end|>
<|im_start|>assistant
<think>
</think>
642 = 26(24) + 18/24
The time will be 18 hours later than 1:30 pm which is 7:30 am.
The answer is E... | 42,848 |
<|im_start|>user
If Sam shares his books in the ratio of 1/8 : 1/9 : 1/10 : 1/11 between his four friends A, B, C and D, then find the total number of books Sam should have?
Answer Choices: (A) 1611 (B) 1692 (C) 1591 (D) 1691 (E) 16911<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, A : B : C : D = 1/8 : 1/9 :... | 11,962 |
<|im_start|>user
2, 3, 5, 16, 231, ?
Answer Choices: (A) 62005 (B) 52120 (C) 422 (D) 53105 (E) 56200<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
2
3
32 - 22 = 5
52 - 32 = 16
162 - 52 = 231
2312 - 162 = 53105
The answer is D<|endoftext|> | 2,859 |
<|im_start|>user
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/9 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Answer Choices: (A) 7x/2 (B) x/2 (C) 2x/3 (D) 3x/2 (E) 2... | 28,101 |
<|im_start|>user
In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 35, what is the greatest possible value of B x A?
Answer Choices: (A) 0 (B) 10 (C) 20 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
I also was confused when I was looki... | 56,557 |
<|im_start|>user
Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
Answer Choices: (A) 12 , 18 (B) 8 , 10 (C) 18 , 20 (D)... | 1,426 |
<|im_start|>user
Which of the following is equivalent to the pair of inequalities x + 4 > 10 and x - 2 <= 5 ?
Answer Choices: (A) 2 < x < 16 (B) 2 <= x < 4 (C) (D) 6 < x <= 7 (D) (C) 2 < x <= 8 (E) 4 <= x <= 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Let’s isolate x in both inequalities, start... | 65,993 |
<|im_start|>user
A man covers a certain distance by car driving at 30 km/hr and he returns back to the starting point riding on a scooter at 10 km/hr. Find his average speed for the whole journey.
Answer Choices: (A) 8 Km/hr (B) 17 Km/hr (C) 15 Km/hr (D) 12 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think... | 39,859 |
<|im_start|>user
A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed?
Answer Choices: (A) 56m (B) 52m (C) 27m (D) 28m (E) 19m<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the wire fencing ... | 40,931 |
<|im_start|>user
How many different words can be formed from the word DAUGHTER so that ending and beginning letters are consonants?
Answer Choices: (A) 7200 (B) 14400 (C) 360 (D) 1440 (E) 2440<|im_end|>
<|im_start|>assistant
<think>
</think>
Here total letters are 8,3 vowels and 5 consonants. Here 2 consonants can be... | 34,584 |
<|im_start|>user
The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 50 miles per hour, how fast will it be falling after 12 seconds?
Answer Choices: (A) 18 miles per hour (B) 120 miles per hour (C... | 32,886 |
<|im_start|>user
A machine can filled a tank in 25 minutes and another machine can empty it in 50 minutes. If the tank is already half full and both the taps are opened together, then the tank is filled in how many minutes?
Answer Choices: (A) 25min (B) 20min (C) 10min (D) 15min (E) 30min<|im_end|>
<|im_start|>assistan... | 76,471 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 2,102 |
<|im_start|>user
In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/3 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many t... | 77,778 |
<|im_start|>user
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
Answer Choices: (A) 2.87 (B) 2.965 (C) 3.876 (D) 3.9 (E) 4.526<|im_end|>
<|im_start|>assistant
<think>
</think>
log5 512 = log 512/ log 5
= log 2^9/log(10/2)
=9 log 2 /log 10 - log 2
=(9*0.3010)/1-0.3010
=2.709/0.699 = 2709/699
= 3.876
T... | 62,040 |
<|im_start|>user
The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?
Answer Choices: (A) 1288 (B) 1299 (C) 10625 (D) 10000 (E) 2887<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
125 * 85 = 10625
The answer is C<|endoftext|> | 93,928 |
<|im_start|>user
What percent is 400 gm of 1 kg?
Answer Choices: (A) 25% (B) 40% (C) 10% (D) 8% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
1 kg = 1000 gm
400/1000 × 100 = 40000/1000
=40 %
The answer is B<|endoftext|> | 52,663 |
<|im_start|>user
Serious imbalances, cancer and other diseases can result when expression of what goes awry?
Answer choice: (A) genes (B) proteins (C) ribosomes (D) gametes<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 4,874 |
<|im_start|>user
A man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream.
Answer Choices: (A) 2 km/hr (B) 3 km/hr (C) 7 km/hr (D) 9 km/hr (E) 5 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let man’s rate upstream be x kmph.then ,his rate do... | 29,471 |
<|im_start|>user
In one alloy there is 12% chromium while in another alloy it is 8%. 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Answer Choices: (A) 9.45% (B) 10% (C) 15% (D) 20% (E) 25%<|im_end|>
<|im_start|>assistan... | 10,325 |
<|im_start|>user
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Answer Choices: (A) 22 sec (B) 27 sec (C) 12 sec (D) 19 sec (E) 10 sec<|im_end|>
<|im_start|>assistant
<t... | 23,367 |
<|im_start|>user
Walking at 5/6th of its usual speed a cab is 8mnts late. Find its usual time to cover the journey?
Answer Choices: (A) 25m (B) 45m (C) 40m (D) 50m (E) 62m<|im_end|>
<|im_start|>assistant
<think>
</think>
New speed = 5/6th of usual speed
New time = 6/5th of usual time
6/5 UT - UT = 8m
UT/5 = 8m
UT = 4... | 63,904 |
<|im_start|>user
A ladder 14 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 9 feet from the base of the wall. If the top of the ladder slips down 1 feet, how many feet will the bottom of the ladder slip?
Answer Choices: (A) 4 (B) 10 (C) 18 (D) 19 (E) 25<|im_end|>
... | 45,828 |
<|im_start|>user
The workers of a factory is 10000. It decreases annually at the rate of 20% p.a. What will be its population after 4 years?
Answer Choices: (A) 8500 (B) 7000 (C) 5282 (D) 4096 (E) 5250<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
10000 × 80... | 48,659 |
<|im_start|>user
The average of five results is 46 and that of the first four is 30. The fifth result is?
Answer Choices: (A) 50 (B) 88 (C) 77 (D) 66 (E) 110<|im_end|>
<|im_start|>assistant
<think>
</think>
5 * 46 – 4 * 30
= 110
The answer is E<|endoftext|> | 46,811 |
<|im_start|>user
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Answer Choices: (A) 19 (B) 21 (C) 23 (D) 27 (E) 29<|im_e... | 63,083 |
<|im_start|>user
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account whic... | 91,047 |
<|im_start|>user
Combining the voltages of the oxidation and reduction half reactions helps to determine what?
Answer choice: (A) slimy (B) voltage (C) moisture (D) magnetic<|im_end|>
<|im_start|>assistant
<think>
</think>
To determine the overall voltage of a particular voltaic cell, simply combine the voltages of t... | 791 |
<|im_start|>user
A man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Answer Choices: (A) 5 minutes (B) 6 minutes (C) 8 minutes (D) 9 minute... | 2,103 |
<|im_start|>user
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 80 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 8.6 years and the standard deviation is 3.4 years, what percent of the distribution has m... | 15,865 |
<|im_start|>user
In humans, the sperm cell is the only cell with what structure that enables motility?
Answer choice: (A) eukaryotic (B) flagella (C) False Cell (D) sporangia<|im_end|>
<|im_start|>assistant
<think>
</think>
The Cytoskeleton Much like the bony skeleton structurally supports the human body, the cytoske... | 7,665 |
<|im_start|>user
The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley .
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
a:m=4:7
let the ages of a & m be x &22-x
x/22-x=4/7
x=8
a=8yrs
The answer is B<|endoftext|> | 35,614 |
<|im_start|>user
A train 250 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) 95 km/hr (B) 50 km/hr (C) 54 km/hr (D) 55 km/hr (E) 56 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 21,467 |
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