text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
An empty fuel tank with a capacity of 208 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Answer Choic... | 87,048 |
<|im_start|>user
How to additions fast. For example we have to do a simple addition like 234 + 563+ 985 + 349.
Answer Choices: (A) 2131 (B) 7399 (C) 2997 (D) 2769 (E) 2771<|im_end|>
<|im_start|>assistant
<think>
</think>
Instead of doing like this we first add all the digits in the hundred's place. 2 + 5 + 9 + 3 = 19... | 54,796 |
<|im_start|>user
The football association pays $2000 out of $8000 it owes to refrees. Then it pays $6000 out of the $12000 owes for the year to players.
How much did the ratio of payments made to monies owed increase?
Answer Choices: (A) A) 75% (B) B) 100 % (C) C) 1% (D) D) 50% (E) E) 25%<|im_end|>
<|im_start|>assis... | 76,136 |
<|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 9 hours respectively. The ratio of their speeds is?
Answer Choices: (A) 4:5 (B) 4:3 (C) 4:4 (D) 4:9 (E) 3:4<|im_end|>
<|im_start|>assist... | 18,532 |
<|im_start|>user
A certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 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... | 435 |
<|im_start|>user
When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 42 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time ... | 16,474 |
<|im_start|>user
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.15000?
Answer Choices: (A) 4965 (B) 1879 (C) 2779 (D) 2672 (E) 2782<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 15000(11/10)^3
= 19965
= 15000
----------
4965
The answer is A<|endoftext|> | 27,777 |
<|im_start|>user
The sector of a circle has radius of 21 cm and central angle 225o. Find its perimeter?
Answer Choices: (A) 91.5 (B) 92 (C) 93 (D) 94 (E) 124.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of the sector = length of the arc + 2(radius)
= (225/360 * 2 * 22/7 * 21) + 2(21)
= 124.5 cm
The an... | 60,029 |
<|im_start|>user
A team has to design a flag. The team has three yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Answer Choices: (A) 24 (B) 35 (C) 42 (D) 84 (E) 85<|im_end|>
<|im_start|>assistant
<t... | 7,112 |
<|im_start|>user
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what V percent of the apartments with windows have hardwood floors?
Answer Choices: (A) 10 (B) 16 2/3 (C) 40 (D... | 69,073 |
<|im_start|>user
A bag contains 4 white,5 red and 6 blue balls.Three balls are drawn at random from the bag.the probability that all of them are red are????
Answer Choices: (A) 1/91 (B) 3/91 (C) 4/91 (D) 2/91 (E) 6/91<|im_end|>
<|im_start|>assistant
<think>
</think>
5c3/15c3=455/10=2/91
The answer is D<|endoftext|> | 54,184 |
<|im_start|>user
Nonflowering vascular plants have how many basic types of leaves?
Answer choice: (A) four (B) one (C) five (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
Leaves may vary in size, shape, and their arrangement on stems. Nonflowering vascular plants have three basic types of leaves: microphy... | 7,202 |
<|im_start|>user
Find the invalid no.from the following series 3, 6, 15, 31, 63, 127, 255
Answer Choices: (A) 6 (B) 7 (C) 27 (D) 63 (E) 127<|im_end|>
<|im_start|>assistant
<think>
</think>
Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 6 is wrong.
A
The answer is A<|endoftext|> | 80,728 |
<|im_start|>user
The width of a rectangular hall is ½ of its length. If the area of the hall is 450 sq.m, what is the difference between its length and breadth?
Answer Choices: (A) 8m (B) 10m (C) 12m (D) 15m (E) 17m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the hall be x m
Breadth of the hall... | 23,384 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 3500 and Rs. 7000 respectively. Out of a total profit of Rs. 2000, Deepak's share is:
Answer Choices: (A) 1333.3 (B) 2687.1 (C) 1200.6 (D) 1580.2 (E) 2671<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 3500 : 7000 = 1:2
Deepa... | 40,559 |
<|im_start|>user
With both inlets open, a water tank will be filled with water in 36 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
Answer Choices: (A) 9,000 (B) 4,500 (C) 1,750 (D) 1,... | 60,927 |
<|im_start|>user
What are the two types of vascular tissues found in vascular plants?
Answer choice: (A) xylem and phloem (B) xylem and chloroplasm (C) cytoplasm and chloroplasm (D) ectoderm and phloem<|im_end|>
<|im_start|>assistant
<think>
</think>
Xylem and phloem are the two types of vascular tissues in vascular ... | 4,641 |
<|im_start|>user
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
Answer Choices: (A) 4/9 (B) 2 4/9 (C) 3 4/9 (D) 4 4/9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this type of questio... | 13,027 |
<|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 ... | 1,426 |
<|im_start|>user
Which of the following integers is a divisor of(15!+15)?
Answer Choices: (A) 15 (B) 14 (C) 13 (D) 7 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
When we say 15!, it just means 1*2*3*4*5*...*13*14*15
So you need to find the integer which is a divisor of
(1*2*3*4*5*...*13*14*15 + 15) = 15 (1*... | 33,396 |
<|im_start|>user
On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 155 is how many times an intensity corresponding to a magnitude of 125?
Answer Choices: (A) 40 (B) 100 (C) 400 (D) 1000 (E) 10 000<|... | 62,386 |
<|im_start|>user
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 18 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 12 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</thi... | 18,064 |
<|im_start|>user
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Answer Choices: (A) 300 km (B) 320 km (C) 360 km (D) 420 km (E) 460 km<|im_end|>
<|im_start|>assistant... | 49,120 |
<|im_start|>user
In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neithe... | 42,509 |
<|im_start|>user
Insert the missing number
3, 4, 7, 16, 43, 124, ...
Answer Choices: (A) 367 (B) 356 (C) 125 (D) 1222 (E) 1322<|im_end|>
<|im_start|>assistant
<think>
</think>
Series is having difference between susequest next number and the nuber with multiplication by 3
3, 4, 7, 16, 43, 124, ...
Differnce between 4... | 75,852 |
<|im_start|>user
In a camp, there is a meal for 110 men or 200 children. If 140 children have taken the meal, how many men will be catered to with remaining meal?
Answer Choices: (A) 41 (B) 30 (C) 35 (D) 33 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
D
33
There is a meal for 200 children.
140 children hav... | 49,314 |
<|im_start|>user
A volume of 10996 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Answer Choices: (A) 2812 (B) 8231 (C) 2734 (D) 4222 (E) 2749<|im_end|>
<|im_start|>assistant
<think>
</think>
a volume of 4l can be kept ... | 63,037 |
<|im_start|>user
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?
Answer Choices: (A) 65 (B) 69.5 (C) 67.5 (D) 62.5 (E) 22.5<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = 47.50
SP = 47.50*(130/10... | 57,497 |
<|im_start|>user
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is
Answer Choices: (A) 3.496 kg (B) 3.696 kg (C) 3.690 kg (D) 9.696 kg (E) 3.296 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Exte... | 7,362 |
<|im_start|>user
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in... | 67,596 |
<|im_start|>user
A roofing crew can roof the house in 10 hours. Another crew can roof the house in 15 hours. How many hours will it take for both of them working together to roof the house?
Answer Choices: (A) 6 (B) 5 (C) 8 (D) 4 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Work hrs=AB/(A+B)= 150/25 =6
The ... | 71,594 |
<|im_start|>user
If x= (y-1)(y+2), then what is the least possible value of x?
Answer Choices: (A) -9/4 (B) 9/4 (C) 7/4 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 91,143 |
<|im_start|>user
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 66 kg. What is the correct weight?
Answer Choices: (A) 58kgs (B) 58.85kgs (C) 58.9kgs (D) 59kgs (E) 59.85kgs<|im_end|>
<|im_start|>assistant
<think>
</think>
A... | 50,370 |
<|im_start|>user
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.
Answer Choices: (A) 287 cm2 (B) 190 cm2 (C) 180 cm2 (D) 785 cm2 (E) 295 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of a trapezium = 1/2 (sum of parallel sides)... | 34,871 |
<|im_start|>user
A man swims downstream 24 km and upstream 12 km taking 6 hours each time, what is the speed of the man in still water?
Answer Choices: (A) 5 (B) 8 (C) 10 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
24 --- 6 DS = 4
? ---- 1
12 ---- 6 US = 2
? ---- 1 M = ?
M = (4+2)/2 = 3
The answer is... | 15,401 |
<|im_start|>user
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Answer Choices: (A) 74 (B) 94 (C) 184 (D) 364 (E) 375<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 6, 9, 15 and 18 is 90.
Let required number be 90k + 4, which is multiple of 7.
Least value of k ... | 10,694 |
<|im_start|>user
If a is an integer greater than 9 but less than 26 and b is an integer greater than 14 but less than 31, what is the range of a/b?
Answer Choices: (A) 1 (B) 1/2 (C) 5/6 (D) 2/3 (E) 4/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Range of a/b = max(a/b) - min(a/b)
to get max(a/b) => max(a)/min(b)... | 22,375 |
<|im_start|>user
If the average (arithmetic mean) of x + 1, x + 4, and x + 7 is 0, then x =
Answer Choices: (A) –4 (B) –3 (C) –2 (D) –1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+1 + x+4 + x+7)/3 = 0
=>3x + 12 = 0
=>x = -4
The answer is A<|endoftext|> | 45,507 |
<|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... | 2,283 |
<|im_start|>user
A set consists of 15 numbers, all are even or multiple of 5. If 8 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
{Total} = {Even} + {Multiple of 5} - {Both} + {N... | 42,059 |
<|im_start|>user
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 8-letter code words to the number of 6-letter code words?
Answer Choices: (A) 5 to 4 (B) 3 to 2 (C) 12 to 1 (D) 5 to 1 (E) 6 to 1<|im_end|>
<|i... | 23,900 |
<|im_start|>user
Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
Answer Choi... | 15,013 |
<|im_start|>user
Calculate the average of all the numbers between 7 and 49 which are divisible by 6.
Answer Choices: (A) 20 (B) 18 (C) 19 (D) 15 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
numbers divisible by 6 are 12,18,24,30,36,42,48,
Average = (12+18+24+30+36+42+48, ) / 7 = 210/7 = 30
The... | 16,540 |
<|im_start|>user
Compare the rates of two trains, one travelling at 45 km/hr and other is at 10m/s?
Answer Choices: (A) 5:4 (B) 3:2 (C) 1:5 (D) 2:7 (E) 3:5<|im_end|>
<|im_start|>assistant
<think>
</think>
speed of the 1st train = 45km/hr
speed of the 2nd train = 10m/s = 10*18/5 = 36km/hr
ratio of the speeds of the tr... | 9,288 |
<|im_start|>user
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 3 different offices?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>ass... | 88,318 |
<|im_start|>user
How many 3 digit numbers are completely divisible 6 ?
Answer Choices: (A) 146 (B) 148 (C) 150 (D) 152 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
100/6 = 16, remainder = 4. Hence 2 more should be added to 100 to get the minimum
3 digit number divisible by 6.
=> Mi... | 87,512 |
<|im_start|>user
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function s(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The s(n) could have any of the following units digits except…?
Answer ... | 48,687 |
<|im_start|>user
Mount kilimanjaro has ________ climates at the top and bottom?
Answer choice: (A) dangerous (B) similar (C) different (D) rainy<|im_end|>
<|im_start|>assistant
<think>
</think>
Mount Kilimanjaro has very different climates at the top and bottom.
The answer is C<|endoftext|> | 8,753 |
<|im_start|>user
What is the area S of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Answer Choices: (A) 60. (B) 85. (C) 125. (D) 225. (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of one side= 15 (20-5)
Since, its a squa... | 23,266 |
<|im_start|>user
What are the two types of vascular tissue?
Answer choice: (A) ectoderm and phloem (B) phloem and phlegm (C) cytoplasm and ectoplasm (D) xylem and phloem<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 7,658 |
<|im_start|>user
A and B together can complete work in 4 days. A alone starts working and leaves it after working for 3 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
Answer Choices: (A) 4 (B) 8 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<thin... | 45,672 |
<|im_start|>user
A sum of money is distributed among w,x,y,z in the proportion of 1:6:2:4. If X gets $1500 more than Y, what is the W's share?
Answer Choices: (A) $1500 (B) $150 (C) $375 (D) $200 (E) $450<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the shares of w,x,y,z are 1a,6a,2a,4a
6a-2a = 1500
4a = $150... | 45,164 |
<|im_start|>user
Ages of two brothers differ by 14 years. If 12 years ago, the elder one was 3 times as old the younger one, find their present age
Answer Choices: (A) 12,26 (B) 14,28 (C) 16,30 (D) 19,33 (E) 21,35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the age of the younger brother be x,
T... | 82,685 |
<|im_start|>user
In a regular week, there are 5 working days and for each day, the working hours are 8. A
man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns
Rs. 432 in 4 weeks, then how many hours does he work for ?
Answer Choices: (A) 160 (B) 175 (C) 180 (D) 195 (E) 200<|im_en... | 68,117 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Answer Choices: (A) 27/7 sec (B) 20/7 sec (C) 33/7 sec (D) 21/7 sec (E) 32/7 sec<|im_end|>
<|im_start|>assistant
<think... | 7,413 |
<|im_start|>user
What is the scientific term for the amount of light reflected by a surface?
Answer choice: (A) prism (B) inversion (C) albedo (D) reactivity<|im_end|>
<|im_start|>assistant
<think>
</think>
Albedo is the amount of light reflected by a surface. Sea ice has an albedo of .85, meaning 85% of light is ref... | 2,088 |
<|im_start|>user
There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to:
Answer Choices: (A) 2!*7! (B) 2!*8! (C) 3!*7! (D) 3!*8! (E) None of these<|im_end|>
<|im_start|>assistant... | 85,843 |
<|im_start|>user
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Answer Choices: (A) Rs. 30,000 (B) Rs. 50,000 (C) Rs. 60,000 (D) Rs. 90,000 (E) None<|im_e... | 80,608 |
<|im_start|>user
In a garden, there are 10 rows and 13 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Answer Choices: (A) 20 m (B) 22 m (C) 24 m (D) 26 m (E) 28 m<|im_end|>
<|im_start|>a... | 74,018 |
<|im_start|>user
he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Answer Choices: (A) 1797787 (B) 1797723 (C) 179776 (D) 179728 (E) 179718<|im_end|>
<|im_start|>assistant
<think>
</think>
Population after n years = P [1 + (R/100)]2
Popula... | 4,329 |
<|im_start|>user
When (6767 +67) is divided by 68, the remainder is?
Answer Choices: (A) 58 (B) 59 (C) 62 (D) 66 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
=> (67^67 + 1) is divisible by (67 + 1)
=> (67^67 + 1) is divisible by 68
=> (67^67+1) ÷ 68 gives a remainder of 0
=> [(67^67+1) + 66] ÷ 68 gives a r... | 46,703 |
<|im_start|>user
Apples are bought at 7 for Rs. 9/- and sold at 9 for Rs. 7/-. Find the gain or loss percentage?
Answer Choices: (A) 36.59% Gain (B) 36.59% Loss (C) 39.506% Loss (D) 39.506% Profit (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
7 Apples -----> 9/-
9 Apples ----> 7/-
No... | 52,184 |
<|im_start|>user
Which is the smallest fraction:
Answer Choices: (A) 11/13 (B) 9/11 (C) 5/4 (D) 5/7 (E) 6/7<|im_end|>
<|im_start|>assistant
<think>
</think>
11/13=.846
9/11=.818
5/4=1.25
5/7=.714
So smallest is 5/7
The answer is D<|endoftext|> | 56,149 |
<|im_start|>user
Under certain conditions, electric current causes what type of field?
Answer choice: (A) light (B) kinetic (C) magnetic (D) seismic<|im_end|>
<|im_start|>assistant
<think>
</think>
Electricity and magnetism are inextricably linked. Under certain conditions, electric current causes a magnetic field. U... | 8,490 |
<|im_start|>user
What is the unit digit in (4137)754?
Answer Choices: (A) 1 (B) 3 (C) 7 (D) 9 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Unit digit in (4137)754 = Unit digit in {[(4137)4]188 x (4137)2}
=Unit digit in { 292915317923361 x 17114769 }
= (1 x 9) = 9
Option D
The answer is D<|endoftext|> | 80,487 |
<|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.
Burning a piece of p... | 1,458 |
<|im_start|>user
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required
Answer Choices: (A) 22 (B) 60 (C) 28 (D) 76 (E) 21<|im_end|>
<|im_start|>assis... | 6,265 |
<|im_start|>user
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2008, a newborn Khazarian 1 year later, and... | 35,097 |
<|im_start|>user
Insert the missing number
..., 4, 8, 16, 32, 64, 128, 256
Answer Choices: (A) 6 (B) 5 (C) 2 (D) 3 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
series is 2* Previous Number.
The answer is C<|endoftext|> | 24,914 |
<|im_start|>user
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 2 and 4 slices per customer. How many slices cannot be bought?
Answer Choices: (A) 42. (B) 38. (C) 33. (D) 22. (E) 20.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let X pizzas of 2 slices and Y pizzas of 4 slices... | 6,987 |
<|im_start|>user
If a and b are different values and a – b = 6(√a - √b), then in terms of b, a equals:
Answer Choices: (A) √b (B) b (C) b - 12√b + 36 (D) b + 2√b + 1 (E) b^2 – 2b√b + b<|im_end|>
<|im_start|>assistant
<think>
</think>
(√a)^2 - (√b)^2 = 6(√a - √b) -----> ( √a + √b) ( √a - √b) = 6(√a - √b) -------> √a +... | 91,243 |
<|im_start|>user
A fill pipe can fill 1/2 of cistern in 25 minutes. In how many minutes, it can fill 1/2 of the cistern?
Answer Choices: (A) 10 min (B) 15 min (C) 20 min (D) 25 min (E) 30 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Required time = 25*2*1/2 = 25 minutes
The answer is D<|endoftext|> | 70,562 |
<|im_start|>user
The instructions state that Cheryl needs 4/19 square yards of one type of material and 2/13 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 4/26 square yards left that she did not use. What is the total amount of square... | 37,148 |
<|im_start|>user
What organelle contains the genetic material of the cell?
Answer choice: (A) gamete (B) fetus (C) meiosis (D) nucleus<|im_end|>
<|im_start|>assistant
<think>
</think>
The nucleus contains the genetic material of the cell.
The answer is D<|endoftext|> | 3,122 |
<|im_start|>user
Protein chains containing 10 or fewer amino acids are usually referred to as what?
Answer choice: (A) polypeptides (B) peptides (C) protons (D) carboxyl<|im_end|>
<|im_start|>assistant
<think>
</think>
the conditions, amino acids can act as either acids or bases, which means that proteins act as buff... | 5,677 |
<|im_start|>user
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Answer Choices: (A) 209 (B) 210 (C) 211 (D) 213 (E) 215<|im_end|>
<|im_start|>assistant
<think>
</think>
In a group of 6 boys and 4 girls, fo... | 578 |
<|im_start|>user
The average age of three boys is 48 years and their ages are in proportion 2:5:5. What is the age in years of the youngest boy?
Answer Choices: (A) 30 (B) 23 (C) 24 (D) 26 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
2x + 5x + 5x = 144
x =12
2x = 24
The answer is C<|endoftext|> | 88,610 |
<|im_start|>user
In the quiet town ofNothintodothere are 600 inhabitants, 400 are unemployed and 200 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
Answer Choices: (A) 50. (B) 100. (C) 150. (D) 200. (E) 300.<|im_end|>
<|im_start|>assistant
<think>
</thi... | 27,108 |
<|im_start|>user
What is the average of 1/2, 1/5 and 3/10?
Answer Choices: (A) 1/5 (B) 3/10 (C) 2/5 (D) 1/3 (E) 6/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 1/2,1/5,3/10 =10/10=1
Average = 1*1/3 =1/3
The answer is D<|endoftext|> | 32,770 |
<|im_start|>user
The probability of two events A and B are 0.15 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Answer Choices: (A) 0.45 (B) 0.4 (C) 0.5 (D) 0.05 (E) 0.6<|im_end|>
<|im_start|>assistant
<think>
</think>
we are apply that f... | 94,168 |
<|im_start|>user
In addition to spiral cleavage, protostomes also undergo which other form of cleavage?
Answer choice: (A) straight (B) diagonal (C) dispersive (D) determinate<|im_end|>
<|im_start|>assistant
<think>
</think>
There is a second distinction between the types of cleavage in protostomes and deuterostomes.... | 8,016 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 240 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 75 (B) 39 (C) 79 (D) 72 (E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 ... | 74,419 |
<|im_start|>user
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 40 more than the number who did not, and if receipts for registration and lunch totaled $39... | 54,100 |
<|im_start|>user
Jack and Jill are marathon runners. Jack can finish a marathon (41 km) in 4.5 hours and Jill can run a marathon in 4.1 hours.What is the ratio of their average running speed? (Jack: Jill)
Answer Choices: (A) 41/45 (B) 15/14 (C) 4/5 (D) 5/4 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think... | 54,901 |
<|im_start|>user
Rahim bought 50 books for Rs.1000 from one shop and 40 books for Rs.800 from another. What is the average price he paid per book ?
Answer Choices: (A) 28 (B) 20 (C) 27 (D) 29 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Average price per book
= (1000+ 800) / (50 + 40)
= 1800 / 90
= Rs.20
T... | 45,126 |
<|im_start|>user
((-1.9)(0.6) – (2.6)(1.2))/5.0 = ?
Answer Choices: (A) -0.71 (B) 1.0 (C) -0.852 (D) 1.71 (E) 2.71<|im_end|>
<|im_start|>assistant
<think>
</think>
Dove straight into calculation
((-1.9)(0.6) – (2.6)(1.2))/7.0 = -0.852
The answer is C<|endoftext|> | 17,651 |
<|im_start|>user
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Answer Choices: (A) Rs. 10000 (B) Rs. 5896 (C) Rs. 2580 (D) Rs. 3697 (E) Rs. 60000<|im_end... | 265 |
<|im_start|>user
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Answer Choices: (A) 17 (B) 27 (C) 60 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the slower train be x... | 77,077 |
<|im_start|>user
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Answer Choices: (A) 4/5 (B) 4/6 (C) 4/0 (D) 4/2 (E) 4/1<|im_end|>
<|im_start|>assistant
<think>
</think>
x/3 – x/4 = 4/60
x ... | 17,307 |
<|im_start|>user
The average age of three boys is 120 years and their ages are in proportion 2:6:8. What is the age in years of the youngest boy?
Answer Choices: (A) 10 (B) 9 (C) 15 (D) 6 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
2x + 6x + 8x = 120
x =7.5
2x = 15
The answer is C<|endoftext|> | 65,535 |
<|im_start|>user
A bowl has only 4 apples and 4 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Answer Choices: (A) 1/10 (B) 1/5 (C) 3/14 (D) 2/5 (E) 1/2<|im... | 38,493 |
<|im_start|>user
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony ... | 80,783 |
<|im_start|>user
If an object travels at five feet per second, how many feet does it travel in one hour?
Answer Choices: (A) 1700 (B) 1900 (C) 1400 (D) 1600 (E) 1800<|im_end|>
<|im_start|>assistant
<think>
</think>
If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one ho... | 41,794 |
<|im_start|>user
The area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm. What is the perimeter of the square?
Answer Choices: (A) 200 (B) 208 (C) 210 (D) 220 (E) 228<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s = 4(52 * 13)
=> s = 52 cm
Perimeter... | 4,255 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 1,295 |
<|im_start|>user
A number when divided by a divisor leaves a remainder of 23. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Answer Choices: (A) 12 (B) 13 (C) 35 (D) 36 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number is N, t... | 41,216 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Answer Choices: (A) 16 2/3% loss (B) 16 2/8% loss (C) 16 8/3% loss (D) 18 2/3% loss (E) 26 2/3% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
The answer is A<... | 62,183 |
<|im_start|>user
What causes the red color of laterite soils?
Answer choice: (A) oxygen (B) toxins (C) iron oxides (D) erosion<|im_end|>
<|im_start|>assistant
<think>
</think>
A third important type of soil is laterite . Laterite forms in tropical areas. Temperatures are warm and rain falls every day ( Figure below )... | 7,498 |
<|im_start|>user
A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Answer Choices: (A) A) 63 (B) B) 28 (C) C) 48 (D) D) 32 (E)... | 16,534 |
<|im_start|>user
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 3:5 (B) 3:4 (C) 3:9 (D) 3:1 (E) 3:2<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The rat... | 24,046 |
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