text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
An automobile manufacturer offers a station wagon with either a 16-cylinder engine or a 14-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 16-cylinder engine. How many combinations of the five option... | 17,123 |
<|im_start|>user
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Answer Choices: (A) 83.37% (B) 83.93% (C) 83.38% (D) 83.23% (E) 83.33%<|im_end|>
<|im_start|>assistant
<think>
</... | 50,472 |
<|im_start|>user
Which of the following CANNOT be the least common multiple of two positive integers x and y
Answer Choices: (A) xy (B) x (C) x - xy (D) y (E) x + y<|im_end|>
<|im_start|>assistant
<think>
</think>
The least common multiple of two positive integers cannot be less than either of them. Therefore, since ... | 9,560 |
<|im_start|>user
If A = 625 * 7776 * 16 / 1296, How many digits are in A?
Answer Choices: (A) 5 (B) 2 (C) 3 (D) 4 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 625 * 7776 * 16 / 1296
A = 5^4 * 6^5 * 2^4 / 6^4
A = 10^4*6 = 60000
Option: 5
The answer is A<|endoftext|> | 55,352 |
<|im_start|>user
Exactly two sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 2 times and the die lands with a red side up for the first time on the second roll?
Answer Choices: (A) 0.16 (B) 0.2 (C) 0.3 (D) 0.32 (E) 0.56<|im_end|>
<|im_start|>assistant
<think>
</think>
Total n... | 5,370 |
<|im_start|>user
What is the sum of odd integers from 25 to 85
, inclusive?
Answer Choices: (A) 1,705 (B) 1,500 (C) 1,240 (D) 1,120 (E) 1,100<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of odd integers = (85-25)/2 + 1
= 60/2 + 1
= 31
Sum of odd integers = (25+85)/2 * 31
= 1705
The answer is A<|endoftext|> | 75,514 |
<|im_start|>user
A and B start a business with Rs.6000 and Rs.18000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 3:5 (B) 3:4 (C) 3:1 (D) 1:3 (E) 3:9<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The ra... | 19,009 |
<|im_start|>user
Morgan Construction has 4 Senior Managing Directors and 4 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Constuction possibly provide guid... | 25,477 |
<|im_start|>user
Tane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Tane or Thomas is to be selected?
Answer Choices: (A) 28 (B) 46 (C) 55 (D) 63 (E) 70<|im_end|>
<|... | 32,603 |
<|im_start|>user
If Henry were to add 6 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Answer Choices: (A) 25 (B) 48 (C) 64 (D) 80 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
7/8x-3/4x=6galls
1/8*x=6g... | 29,526 |
<|im_start|>user
Which of the following is not divisible by 8?
Answer Choices: (A) 10032 (B) 21192 (C) 47816 (D) 91232 (E) 72034<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisibility rule of 8: Last three digits of the number should be divisible by 8
Option A: 10032, last three digits = 032. Divisible by 8
Op... | 68,764 |
<|im_start|>user
What are the two types of fats?
Answer choice: (A) saturated and unsaturated (B) thick and thin (C) full and empty (D) liquid and solid<|im_end|>
<|im_start|>assistant
<think>
</think>
Fats may be either saturated or unsaturated. A saturated fat is a fat that consists of triglycerides whose carbon ch... | 1,268 |
<|im_start|>user
From the word 'CARRIAGE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Answer Choices: (A) 5 (B) 8 (C) 3 (D) 2 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The words formed are
CAR, AGE and RIAGE
The answer ... | 83,077 |
<|im_start|>user
The average age 15 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Answer Choices: (A) 18 (B) 99 (C) 30 (D) 26 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
1... | 15,542 |
<|im_start|>user
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 400 m long?
Answer Choices: (A) 266 Sec (B) 160 Sec (C) 776 Sec (D) 166 Sec (E) 997 Sec<|im_end|>
<|im_start|>assistant
<think>
</think>
L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1600 m
T = D/S
T = 16... | 26,331 |
<|im_start|>user
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Answer Choices: (A) Rs.1000 (B) Rs.1100 (C) Rs.1050 (D) Rs.1200 (E) Rs.1500<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1120 = P [1 + (5*12/5)/100]
P= 1000
The answer is A<|endo... | 29,612 |
<|im_start|>user
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 3 m, the volume of the box (in m3) is:
Answer Choices: (A) 3780 (B) 5120 (C) 6420 (D) 8960 (E) 7960<|im_end|>
<|im_start|>assista... | 42,333 |
<|im_start|>user
9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?
Answer Choices: (A) 68 days (B) 81 days (C) 96 days (D) 124 days... | 36,737 |
<|im_start|>user
What are the egg shaped organs on either side of the uterus?
Answer choice: (A) lungs (B) ovaries (C) testes (D) kidneys<|im_end|>
<|im_start|>assistant
<think>
</think>
The two ovaries are small, egg-shaped organs that lie on either side of the uterus. They produce eggs and secrete estrogen. Each eg... | 5,966 |
<|im_start|>user
1907 x 1907 = ?
Answer Choices: (A) A) 3623216 (B) B) 3624216 (C) C) 3624316 (D) D) 3636649 (E) E) 3625216<|im_end|>
<|im_start|>assistant
<think>
</think>
1907 x 1907 = (1907)2
= (1900 + 7)2
= (1900)2 + (7)2 + (2 x 1900 x 7)
= 3610000 + 49 + 26600.
= 3636649.
D)
The answer is D<|endoftext|> | 14,544 |
<|im_start|>user
Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning o... | 48,841 |
<|im_start|>user
The banker's discount on Rs.1150 due a certain time hence is Rs.115. Find the true discount and the banker's gain.
Answer Choices: (A) 10 (B) 15 (C) 18 (D) 21 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Sum =B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G =Sum / B.D
= 1650 / 1... | 30,489 |
<|im_start|>user
5220/? * 15 = 2175
Answer Choices: (A) 34 (B) 36 (C) 33 (D) 42 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
B
(5220/?) * 15 = 2175
? = (5220 * 15)/2175
=> ? = 36
The answer is B<|endoftext|> | 80,633 |
<|im_start|>user
The population of a bacteria colony doubles every day. If it was started 8 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?
Answer Choices: (A) 512 (B) 768 (C) 13122 (D) 2048 (E) 4096<|im_end|>
<|im_start|>assistant
<think>
</think>
3^8*(2) = 13122
The answ... | 2,480 |
<|im_start|>user
Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Answer Choices: (A) 66 (B) 70 (C) 72 (D) 75 (E) 78<|im_end|>
<|im_start|>assistant
<think>
</... | 47,943 |
<|im_start|>user
The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 10% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Answer Choices: (A) 50 (B) 45 (C) 52.63 (D) ... | 11,614 |
<|im_start|>user
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order Y? (1 cubic meter = 1,000 liters)
Answer Choices: (A) 92 (B) 90 (C) 82 (D) 78 (E) 75<|im_end|>
<|im_start|>assistant
<th... | 97,157 |
<|im_start|>user
Kelvin earns $60 a week from his job. His income increased and now makes $70 a week. What is the percent increase?
Answer Choices: (A) 16.66% (B) 16.87% (C) 17.62% (D) 17.85% (E) 18%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (10/60)*100 = (1/6)*100 = 16.66%.
A
The answer is A<|endof... | 47,545 |
<|im_start|>user
If x≠y and x·y≠0, which of the following may be true?
Answer Choices: (A) x/y=−y/x (B) x^2=−y^2 (C) (x−y) ^2<0 (D) x−y=y−x (E) (x+y) (x−y) =0<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: A and B are effectively the same i.e x^2+y^2=0
C square can't be less than 0
D give x = y refuted is q... | 70,762 |
<|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... | 4,230 |
<|im_start|>user
On a map, 7 centimeters represents 35 kilometers. Two cities 245 kilometers apart would be separated on the map by how many centimeters?
Answer Choices: (A) 15 (B) 37 (C) 49 (D) 110 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
1 centimeter represents 5 kilometers ( 35/7 )
X=245/5= 49
The ... | 50,729 |
<|im_start|>user
A shipment of 250 smartphones contains 76 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
Answer Choices: (A) 1/250 (B) 1/84 (C) 1/11 (D) 1/9 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>... | 58,585 |
<|im_start|>user
How does lysozyme destroy bacteria?
Answer choice: (A) by antibiotic use (B) by eating them (C) by paralyzing them (D) by digesting their cell walls<|im_end|>
<|im_start|>assistant
<think>
</think>
Another barrier is the saliva in the mouth, which is rich in lysozyme—an enzyme that destroys bacteria ... | 2,474 |
<|im_start|>user
Mohit sold an article for $18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Answer Choices: (A) 16000 (B) 25000 (C) 15000 (D) 18000 (E) 17000<|im_end|>
<|im_start|>assistant
<think>
</think>
C
15000
Let the CP be... | 82,184 |
<|im_start|>user
Rachel has ribbons that are blue, green, red, orange, and yellow. To identify the plants in her garden, she ties either 1 ribbon, or 2 ribbons of different colors, to each plant. How many different plants can Rachel label in this way without labeling more than one plant the same way?
Answer Choices: (A... | 26,116 |
<|im_start|>user
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum T of all the digits of the integers from 0 to 99 inclusive?
Answer Choices: (A) 450 (B) 810 (C) 900 (D) 1000 (E) 1100<|im_end|>
<|im_start|>assistant
<think>
</think>
We want ... | 88,574 |
<|im_start|>user
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is... | 74,162 |
<|im_start|>user
A group of four girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three girls will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Answer Choices: (A) 7! – 2!3!2! (B) 7! – 4!3! (C) 7 × 2!3!2!... | 61,012 |
<|im_start|>user
The residents of the town O participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town O, watched t... | 37,012 |
<|im_start|>user
a number when divided by 899 gives a remainder 63. what remainder will be obtained by dividing the same number by 29
Answer Choices: (A) 8 (B) 5 (C) 7 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
63 / 29, thereforerequired number is: 5,
The answer is B<|endoftext|> | 90,371 |
<|im_start|>user
A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 74 km downstream
Answer Choices: (A) 1 hour 40 min (B) 2 hour 40 min (C) 1 hour 25 min (D) 1 hour 30 min (E) 1 hour 50 min<|im_end|>
<|im_start|>assistant
<think>
</... | 73,944 |
<|im_start|>user
What was the day of the week on 28th May, 2006?
Answer Choices: (A) Monday (B) Friday (C) Saturday (D) Tuesday (E) Sunday<|im_end|>
<|im_start|>assistant
<think>
</think>
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4 ... | 7,638 |
<|im_start|>user
find the number of 6 digit numbers that can be formed using digits 1,2,3,4,5,6 once such that the 6digit number is divisible by its unit digit.
Answer Choices: (A) 646 (B) 648 (C) 650 (D) 652 (E) 654<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 6 numbers which can be placed in units dig... | 20,025 |
<|im_start|>user
In passive transport, small molecules or ions move across the cell membrane without requiring input of what?
Answer choice: (A) pressure (B) water (C) energy (D) heating<|im_end|>
<|im_start|>assistant
<think>
</think>
Passive transport is a way that small molecules or ions move across the cell membr... | 8,292 |
<|im_start|>user
A man buys 20 lts of liquid which contains 30% of the liquid and the rest is water. He then mixes it with 20 lts of another mixture with 20% of liquid. What is the % of water in the new mixture?
Answer Choices: (A) 59 (B) 95 (C) 80 (D) 75 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
30% in... | 6,622 |
<|im_start|>user
If 1535/1038 = a+1/[b+1 /{c+(d+1/e)}]. Find a*b*c*d*e?
Answer Choices: (A) 165/2 (B) 175/2 (C) 178/3 (D) 187 by 2 (E) 197/2<|im_end|>
<|im_start|>assistant
<think>
</think>
by expanding 1535/1038 make form like a+1/[b+1/{c+(d+ 1/e)}
=1+(497/1038) now a=1
=1+{1/(1038/497)}
=1+{1/(2+42/497)}
=1+{1/(2+1... | 57,556 |
<|im_start|>user
The ratio between the present ages of P and Q is 5:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Answer Choices: (A) A) 3:4 (B) B) 8:9 (C) C) 4:3 (D) inadequate (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P's age and Q's age be 5x an... | 48,138 |
<|im_start|>user
What is the term for preserved remains or traces of organisms that lived in the past?
Answer choice: (A) deposits (B) bones (C) fossils (D) remains<|im_end|>
<|im_start|>assistant
<think>
</think>
Fossils are preserved remains or traces of organisms that lived in the past. Most fossils form in sedime... | 6,502 |
<|im_start|>user
Mercury travels around the Sun at an approximate speed of 28.8 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
Answer Choices: (A) 172,800 (B) 124,600 (C) 93,400 (D) 72,200 (E) 60,100<|im_end|>
<|im_start|>assistant
<think>
</think>
The speed is 28.8 miles/s. Then 28.... | 46,220 |
<|im_start|>user
Tommy's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total c... | 92,185 |
<|im_start|>user
Rosy has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 6 specific shirts with 5 specific pants?
Answer Choices: (A) 41 (B) 66 (C) 42 (D) 70 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Total no of combinations available is= 8 shirts X 9 pants =... | 12,880 |
<|im_start|>user
Jerry went to a shop and bought things worth Rs. 25, out of which 30 $ 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) 19 (B) 19.7 (C) 21.3 (D) 21.5 (E) 21.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cost o... | 56,806 |
<|im_start|>user
300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 65% of the cus... | 9,243 |
<|im_start|>user
A certain car averages 25 miles per gallon of gasoline when driven in the city and 45 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 mile... | 80,094 |
<|im_start|>user
David decides to attend a base ball game with four friends. If the party of five sits together in five consecutive seats, and David must NOT sit in between two of his friends, how many ways can the five friends be arranged?
Answer Choices: (A) 12 (B) 24 (C) 36 (D) 6 (E) 48<|im_end|>
<|im_start|>assista... | 42,325 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Answer Choices: (A) 29% (B) 25% (C) 95% (D) 26% (E) 95%<|im_end|>
<|im_start|>assistant
<think>
</think>
800 --- 200
100 --- ? => 25%
The answer is B<|endoftext|> | 40,567 |
<|im_start|>user
Simple interest on a certain sum at a certain annual rate of interest is 1/9 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
Answer Choices: (A) 5 (B) 8 (C) 3 1/3 (D) 2 2/3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>... | 94,643 |
<|im_start|>user
What is the probability of rolling one six-sided dice, and getting a different number on each die?
Answer Choices: (A) 1/12 (B) 1/3 (C) 1 (D) 5/9 (E) 7/18<|im_end|>
<|im_start|>assistant
<think>
</think>
MAGOOSHOFFICIAL SOLUTION
For the first die, we can roll any one of six numbers. For the second di... | 1,968 |
<|im_start|>user
In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
Answer Choices: (A) 2/5 (B) 16/20 (C) 9/10 (D) 3/5 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one red) = 1 - P(no re... | 8,481 |
<|im_start|>user
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Answer Choices: (A) 16, 28, 38 (B) 16, 28, 36 (C) 16, 28, 32 (D) 16, 28, 30 (E) 16, 28, 31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let their present ages be 4x,... | 48,908 |
<|im_start|>user
How many seconds will a train 100 meters long take to cross a bridge 120 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) 11 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
D = 100 + 120 = 220
S = 36 * 5/18 = 10 mps
T ... | 73,176 |
<|im_start|>user
A train 700m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Answer Choices: (A) A) 175kmph (B) B) 257kmph (C) C) 162kmph (D) D) 145kmph (E) E) 100kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the tr... | 77,898 |
<|im_start|>user
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Answer Choices: (A) 23 years (B) 25 years (C) 33 years (D) 35 years (E) 37 years<|im_end|>
<|im_start|>assis... | 6,368 |
<|im_start|>user
A farmer needs to plant seeds on a plot of land. She will plant 300 seeds in a rectangle in the field. The rectangle will have E seeds in a row and F seeds in a column. If the number of seeds in a row is no less than 10 and no more than 30, how many different combinations of rectangular shapes are poss... | 13,463 |
<|im_start|>user
Indu gave Bindu Rs.500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Answer Choices: (A) 0.2 (B) 1.2 (C) 3 (D) 4 (E) 0.8<|im_end|>
<|im_start|>assistant
<think>
</think>
500 = D(100/4)2
D ... | 78,862 |
<|im_start|>user
Which of the following must be subtracted from 2^72 so that the resulting integer will be a multiple of 3?
Answer Choices: (A) 5 (B) 4 (C) 1 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
{4^1} / 3 =4/3 remainder 1
{4^2} / 3 = 16/3 remainder 1
{4^3} / 3 = 64/3 remainder 1
{4^4} / 3 = 25... | 22,296 |
<|im_start|>user
A motorcyclist goes from Bombay to Pune, a distance of 180 kms at an average of 20 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Answer Choices: (A) 1:2 (B) 2:3 (C) 1:9 (D) 1:... | 62,402 |
<|im_start|>user
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 4 hours respectively. The ratio of their speeds is:
Answer Choices: (A) 2 : 4 (B) 4 : 3 (C) 6 : 7 (D) 9 : 16 (E) None of these<|im_end|>... | 17,193 |
<|im_start|>user
How many negative numbers are there in an alternating sequence of positive and negative numbers, if the sequence contains b numbers, where b is an odd number greater than 12. The first number of the sequence is a negative number.
Answer Choices: (A) (b-1) /2 (B) (b+1) /2 (C) b/2 (D) b/(2-1) (E) b/(2+1... | 67,163 |
<|im_start|>user
Carol budgeted 18 dollars for gifts for each of the 15 people on her Christmas list. After a disagreement with some of her neighbors, she reduces her Christmas list to 10 people. How much can she spend on each?
Answer Choices: (A) 20 (B) 27 (C) 18 (D) 23 (E) 30<|im_end|>
<|im_start|>assistant
<think>
... | 58,588 |
<|im_start|>user
A man buys an article for 13% less than its value and sells it for 13% more than its value. His gain or loss percent is:
Answer Choices: (A) no profit, no loss (B) 20% profit (C) less than 25% profit (D) more than 25% profit (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the article be... | 10,710 |
<|im_start|>user
It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?
Answer Choices: (A) Rs.3500 (B) Rs. 4200 (C) Insufficient Data (D) ... | 87,361 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 6,233 |
<|im_start|>user
A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) A) 10% (B) B) 12% (C) C) 14% (D) D) 20% (E) E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
Origin... | 48,989 |
<|im_start|>user
The product of two consecutive odd no is -1, then what is the value of the sum of them.
Answer Choices: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Two odd numbers are -1 and +1.
-1+1 =0
The answer is C<|endoftext|> | 58,030 |
<|im_start|>user
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe ster... | 96,673 |
<|im_start|>user
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/8, what is the probability that Taylor makes exactly one basket in three tries?
Answer Cho... | 51,949 |
<|im_start|>user
Calculate the value of 5.11 x 10^8 ?
Answer Choices: (A) 511000000 (B) 5110000 (C) 511000 (D) 51100000 (E) 51100<|im_end|>
<|im_start|>assistant
<think>
</think>
5.11 x 10^6 = 5.11 x 100000000 = 511000000.
The answer is A<|endoftext|> | 4,800 |
<|im_start|>user
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Answer Choices: (A) 1.6 (B) 1.5 (C) 1.9 (D) 1.2 (E) 1.7<|im_end|>
<|im_start|>assistant
<think>
</think>
72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
The answer ... | 18,073 |
<|im_start|>user
If 4<(7-x)/3, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+3) is positive
Answer Choices: (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
12<7-x
x<-5
x+5<0
1.5<x...not possible
2.True.....Check for v... | 57,034 |
<|im_start|>user
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Answer Choices: (A) 200 m (B) 700 m (C) 800 m (D) 100 metre (E) 400 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 85,572 |
<|im_start|>user
Find the average of all numbers between 3 and 86 which are divisible by 5
Answer Choices: (A) 15 (B) 20 (C) 25 (D) 30 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average=(5+10+15+20+25+30+35+40+45+50+55+60+65+70+75+80+85)/17=765/17=45
The answer is E<|endoftext|> | 40,534 |
<|im_start|>user
If the average costs of three colors of 20,40,60 chocolates respectively is 10,15,20 what is the average costs of all the chocolates?
Answer Choices: (A) 12.22 (B) 13.33 (C) 14.44 (D) 15.55 (E) 16.66<|im_end|>
<|im_start|>assistant
<think>
</think>
Average costs of group 1 =10
chocolates in group 1 =... | 54,271 |
<|im_start|>user
Earth spinning as air moves over its surface causes what?
Answer choice: (A) seasons (B) coriolis effect (C) centrifugal effect (D) axial tilt<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth is spinning as air moves over its surface. This causes the Coriolis effect. Winds blow on a diagonal ov... | 6,656 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 6,114 |
<|im_start|>user
The average of 10 numbers is calculated as 21. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Answer Choices: (A) A) 16 (B) B) 18 (C) C) 19 (D) D) 22 (E) E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 82,897 |
<|im_start|>user
A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Answer Choices: (A) 9, 46 (B) 9, 50 (C) 10, 46 (D) 10, 50 (E) 10, 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We have : A = 3B ...(i) an... | 72,768 |
<|im_start|>user
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 4 muffins remained. How... | 64,232 |
<|im_start|>user
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 200. Set D and Set E have how many numbers in common?
Answer Choices: (A) 10 (B) 1 (C) 3 (D) 5 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
D is a set of multiples of 3.
200 is NOT a multiple of 3,... | 73,458 |
<|im_start|>user
There are 7 non-collinear points. How many triangles can be drawn by joining these points?
Answer Choices: (A) 22 (B) 38 (C) 35 (D) 29 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A triangle is formed by joining any three non-collinear points in pairs.
There are 7 non-collinea... | 28,438 |
<|im_start|>user
A says " the horse is not black".
B says " the horse is either brown or grey."
c says " the horse is brown"
At least one is telling truth and atleast one is lying. Tell the colour of horse?
Answer Choices: (A) Black (B) grey (C) Brown (D) White (E) blue<|im_end|>
<|im_start|>assistant
<think>
</think>... | 73,391 |
<|im_start|>user
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Answer Choices: (A) 20% (B) 26% (C) 80% (D) 10% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100... | 76,988 |
<|im_start|>user
A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is?
Answer Choices: (A) 187 (B) 279 (C) 280 (D) 285 (E) 262<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the month begins with a Sun... | 87,023 |
<|im_start|>user
In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Answer Choices: (A) 60 (B) 277 (C) 299 (D) 66 (E) 221<|im_end|>
<|im_start|>assistant
<think>
</think>
2:1 --- 60
1:2
2:4
---------------
3
3 ----------- 60
3 ... | 64,214 |
<|im_start|>user
The average age of 18 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Answer Choices: (A) 9 (B) 31 (C) 56 (D) 72 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Age of the 15th ... | 73,113 |
<|im_start|>user
The 100-milliliter solution of sugar and water is 12% sugar. How much water (in milliliters) must be added to make a solution that is 8% sugar?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
In the original solution the amount of sugar is 0.12*100=... | 64,363 |
<|im_start|>user
The fertilized egg that sexually reproducing organisms begin life as is known as what?
Answer choice: (A) gamete (B) fetus (C) infant (D) zygote<|im_end|>
<|im_start|>assistant
<think>
</think>
Introduction The individual sexually reproducing organism—including humans—begins life as a fertilized egg,... | 5,657 |
<|im_start|>user
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 5, what is the probability that one of the two cards drawn is numbered 3 ?
Ans... | 34,383 |
<|im_start|>user
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in five hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the differen... | 29,021 |
<|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) 11 (B) 10 (C) 9 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(5 + x)/20 + 5/25 = 1 => ... | 50,036 |
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