text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Birds possess a cloaca, a structure that allows water to be reabsorbed from waste back into this?
Answer choice: (A) intestines (B) blood stream (C) skin (D) eggs<|im_end|>
<|im_start|>assistant
<think>
</think>
Other modifications that reduce weight include the lack of a urinary bladder. Birds posse... | 1,560 |
<|im_start|>user
4 dice are thrown simultaneously on the board. Find the probability show the same face.
Answer Choices: (A) 2/215 (B) 3/155 (C) 1/216 (D) 2/213 (E) 3/212<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of elementary events associated to the random experiments of throwing four dice s... | 60,497 |
<|im_start|>user
If 5a = 6b and ab ≠0, what is the ratio of a/6 to b/5?
Answer Choices: (A) 36/25 (B) 10/12 (C) 1 (D) 1/5 (E) 25/36<|im_end|>
<|im_start|>assistant
<think>
</think>
A nice fast approach is the first find a pair of numbers that satisfy the given equation: 5a = 6b
Here's one pair: a =6and b =5
What is t... | 6,577 |
<|im_start|>user
If the true discount on a sum due 3 years hence at 14% per annum be Rs. 168, the sum due is:
Answer Choices: (A) 698 (B) 768 (C) 1430 (D) 1980 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
P.W. = 100 * T.D./R * T = 100 * 168 / 14 * 2 = 600.
∴ Sum = (P.W. + T.D.) = Rs. (600 + 168) = R... | 70,592 |
<|im_start|>user
The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Answer Choices: (A) 290 (B) 240 (C) 2870 (D) 289 (E) 292<|im_end|>
<|im_start|>assistant
<think>
</think>
4a = 68 => a = 17
172 – 82 = 152
1/2 * 16 * 30 = 240
The answer is B<|endoftext|> | 90,625 |
<|im_start|>user
The difference between a number and its two-fifth is 510. What is 50% of that number?
Answer Choices: (A) 426 (B) 425 (C) 427 (D) 428 (E) 429<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
50% of 850 = 425.
The answer is B<|endoftext|... | 48,209 |
<|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.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 3,384 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Answer Choices: (A) 17 km/hr (B) 89 km/hr (C) 36 km/hr (D) 89 km/hr (E) 82 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think... | 13,656 |
<|im_start|>user
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Answer Choices: (A) 7.16 (B) 7.12 (C) 7.11 (D) 7.15 (E) 7.13... | 13,363 |
<|im_start|>user
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Answer Choices: (A) 2288 (B) 2779 (C) 2779 (D) 3900 (E) 2781<|im_e... | 72,584 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 4,488 |
<|im_start|>user
Find the value of 658217 x 99999 = m?
Answer Choices: (A) 65842158943 (B) 65839570421 (C) 65821141683 (D) 66821785904 (E) 65821041783<|im_end|>
<|im_start|>assistant
<think>
</think>
658217 x 99999 = 658217 x (100000 - 1)
= 658217 x 100000 - 658217 x 1
= 65821700000 - 658217
= 65821041783
E
The answe... | 69,406 |
<|im_start|>user
The least number which when increased by 4 each divisible by each one of 22, 32, 36 and 54 is :
Answer Choices: (A) 427 (B) 859 (C) 860 (D) 4320 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 4 = 864 - 4 = 860.
The answer is ... | 44,013 |
<|im_start|>user
If n is an integer and 101n^2 is less than or equal to 8100, what is the greatest possible value of n?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
101 * n^2 <=8100
n^2 <=8100/101 which will be less than 81 since 8100/100 = 81 which is the square of... | 55,279 |
<|im_start|>user
A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the number... | 34,509 |
<|im_start|>user
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
Answer Choices: (A) 176 Sec (B) 190 Sec (C) 178 Sec (D) 267 Sec (E) 200 Sec<|im_end|>
<|im_start|>assistant
<think>
</think>
L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 2000 m
T = D/S
T = 20... | 35,726 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 1,108 |
<|im_start|>user
Worker W produces n units in 5 hours. Workers V and W, workers independently but at thesame time, produce n units in 2 hours.how long would it take V alone to produce n units?
Answer Choices: (A) 1 hr 26 min (B) 1 hr 53 min (C) 2 hr 30 min (D) 3 hr 30 min (E) 3 hr 20 min<|im_end|>
<|im_start|>assistant... | 56,707 |
<|im_start|>user
What type of tissue produces and secretes several hormones involved in lipid metabolism and storage?
Answer choice: (A) hormonal tissue (B) adipose tissue (C) metabolism tissue (D) somatic tissue<|im_end|>
<|im_start|>assistant
<think>
</think>
Adipose Tissue Adipose tissue produces and secretes seve... | 2,574 |
<|im_start|>user
Tom covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Answer Choices: (A) 15 Kmph (B) 29 Kmph (C) 25 Kmph (D) 30 Kmph (E) 34 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>... | 24,555 |
<|im_start|>user
January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Answer Choices: (A) monday (B) Tuesday (C) sunday (D) friday (E) wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
The year 2007 is an ordinary year. So, it has 1 odd day.
1st day of the year 2007 was Monday.
1st day of t... | 4,404 |
<|im_start|>user
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Answer Choices: (A) 10 (B) 12 (C) 15 (D) 18 (E) 20<|im_end|>
<|im_start|>a... | 58,671 |
<|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 km (B) 9/5 km (C) 7/5 km (D) 5/5 km (E) 4/9 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 78,962 |
<|im_start|>user
What determines which type of precipitation falls in the atmosphere?
Answer choice: (A) air temperature (B) air density (C) moon phase (D) time of day<|im_end|>
<|im_start|>assistant
<think>
</think>
Why does it snow instead of rain? Air temperature determines which type of precipitation falls. Rain ... | 7,994 |
<|im_start|>user
The difference between the local value and the face value of 7 in the numerical 32675149 is
Answer Choices: (A) 75142 (B) 64851 (C) 5149 (D) 69993 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
=(local value of 7)-(Face value of 7)
=(70000-7)
=69993
The answer is D<|endoftext|> | 67,581 |
<|im_start|>user
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 7 brown mice in the experiment, how many mice in total are in the experiment?
Answer Choices: (A) 39 (B) 33 (C) 26 (D) 21 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let to... | 90,415 |
<|im_start|>user
Peregrine falcons made an incredible recovery after laws were passed banning the use of what?
Answer choice: (A) ddt (B) Carbaryl (C) miticide (D) Acetamiprid<|im_end|>
<|im_start|>assistant
<think>
</think>
Government policies and laws are needed to protect biodiversity. Such actions have been shown... | 762 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which change better matches the sentence?
A grassy hill catches fire and burns.
Answer Choices: (A) erosion (B) wildfire<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 6,381 |
<|im_start|>user
The sum of four consecutive numbers is 102. The greatest among these three number is:
Answer Choices: (A) 26 (B) 28 (C) 29 (D) 30 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x, x + 1 , X+2 and x + 3
Then,
x + (x + 1) + (x + 2)+(X+3) = 102
4x = 96
x = 24
Greatest number,... | 68,192 |
<|im_start|>user
A train passes a man standing on the platform. If the train is 130 meters long and its speed is 72 kmph, how much time it took in doing so?
Answer Choices: (A) 6 ½ sec (B) 6 ½ sec (C) 9 ½ sec (D) 8 ½ sec (E) 7 ½ sec<|im_end|>
<|im_start|>assistant
<think>
</think>
B
6 ½ sec
S = 72 * 5/18 = 20 m... | 95,146 |
<|im_start|>user
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 56 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Answer Choices: (A) 70 (B) 245 (C) 400 (D) 35 (E) 350<|im_end|>
<|im_start|... | 57,937 |
<|im_start|>user
5670/(28*13.5) = ?
Answer Choices: (A) 11 (B) 15 (C) 16 (D) 19 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
B
15
? = 5670/378 = 15
The answer is B<|endoftext|> | 33,295 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 4,296 |
<|im_start|>user
What system includes lymph organs, lymph vessels, lymph, and lymph nodes?
Answer choice: (A) immune (B) nervous (C) immature (D) digestion<|im_end|>
<|im_start|>assistant
<think>
</think>
The immune system includes lymph organs, lymph vessels, lymph, and lymph nodes.
The answer is A<|endoftext|> | 4,180 |
<|im_start|>user
Complete the series:
16, 06 , 68 , 88 , ? , 98
Answer Choices: (A) L8 (B) B6 (C) S5 (D) E8 (E) M5<|im_end|>
<|im_start|>assistant
<think>
</think>
A
L8
To know why, just read the number series upside down and you will find that the numbers are 91, 90, 89, 88, __, 86
So L8 when read upside down reads ... | 38,712 |
<|im_start|>user
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 15 kmph (B) 18 kmph (C) 19 kmph (D) 12 kmph (E) 11 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (90 + 60)/2
= 75 kmph
The answer is B<|endoftext|> | 21,380 |
<|im_start|>user
A man purchases the milk at Rs. x/litre and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %?
Answer Choices: (A) 120% (B) 145% (C) 145.6% (D) 166.66% (E) 167%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost price of 1 litre pure ... | 73,195 |
<|im_start|>user
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Answer Choices: (A) 8 (B) 9 (C) 7 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x – y = 5
4x – 6y = 6
x = 12 y = 7
The answer is C<|endoftext|... | 73,222 |
<|im_start|>user
A certain volleyball team played seven games and scored an average of 80 points per game. If, in the team’s first five games, it scored 72, 65, 71, 70, and 83 points, what was the average (arithmetic mean) number of points scored over the last two games?
Answer Choices: (A) 65 (B) 81 (C) 82 (D) 119.5 (... | 17,913 |
<|im_start|>user
The values of which factors are controlled by the experimenter over the course of an experiment?
Answer choice: (A) other variables (B) independent elements (C) independent variables (D) independent approaches<|im_end|>
<|im_start|>assistant
<think>
</think>
A variable is a factor that can change ove... | 6,615 |
<|im_start|>user
If c = (1/10)a and b = 5c, then which of the following represents the result of a^2+b^2+c^2 in terms of c
Answer Choices: (A) 25c^2 (B) 56c^3 (C) 52c (D) 126c^2 (E) 110c^2<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 10c and b =5c.
a^2+b^2+c^2 = (10c)^2+(5c)^2+c^2 = 126c^2.
The answer is D<|e... | 93,596 |
<|im_start|>user
Each side of a certain parallelogram has length 5. If the area of the parallelogram is 20. Which of the following is the measure of one of its angles?
Answer Choices: (A) 30 (B) 45 (C) 53.13 (D) 90 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
area of a parallelogram = b*h
b*h=20
h=20/5=4
... | 41,664 |
<|im_start|>user
What occurs when the amount of solute dissolved exceeds the solubility of the solute?
Answer choice: (A) salination (B) absorption (C) stimulation (D) saturation<|im_end|>
<|im_start|>assistant
<think>
</think>
When the amount of solute dissolved exceeds the solubility of the solute. Occurs when a so... | 8,448 |
<|im_start|>user
A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
Answer Choices: (A) 33 (B) 276 (C) 27 (D) 14 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A worked for x days.
x/21 + 4/28 =... | 22,630 |
<|im_start|>user
A present value of a machine is $1200. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Answer Choices: (A) $972 (B) $810 (C) $915 (D) $715 (E) $795<|im_end|>
<|im_start|>assistant
<think>
</think>
P= $1200
R = 10%
T = 2 years
Machine value after 2 years = P[(1-R/1... | 91,852 |
<|im_start|>user
A cube of side 1.5 meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Answer Choices: (A) 2878 (B) 3375 (C) 1000 (D) 2997 (E) 2701<|im_end|>
<|im_start|>assistant
<think>
</think>
Along one edge, the number of small cubes that can be cut
= 150/10 = 15
... | 57,546 |
<|im_start|>user
seven children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Answer Choices: (A) 240 (B) 480 (C) 540 (D) 720 (E) 840<|im_end|>
<|im_start|>assistant
<thi... | 85,578 |
<|im_start|>user
Some earthworms can also reproduce asexually by fragmentation followed by what?
Answer choice: (A) fertilization (B) germination (C) regeneration (D) digestion<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 9,094 |
<|im_start|>user
A sum fetched a total simple interest of Rs. 144 at the rate of 15 p.c.p.a. in 1 year 6 months. What is the sum?
Answer Choices: (A) 490 (B) 850 (C) 580 (D) 640 (E) 760<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Principal = Rs. [100 * 144 / 15 * (18/12)] = Rs. [14400 / 22.5] = Rs. 640.
The... | 47,640 |
<|im_start|>user
If x and d are integers and 2x–d= 11, then 4x+ d CANNOT be
Answer Choices: (A) –5 (B) 1 (C) 13 (D) 17 (E) 551<|im_end|>
<|im_start|>assistant
<think>
</think>
2x-d=11....d=2x-11
4x+d=4x+2x-11=6x-11
6x-11=-5...x=1
6x-11=1... x=2
6x-11=13...x=4
6x-11=17..X is not integer
6x-11=551..X is not intege... | 89,732 |
<|im_start|>user
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A. 65
Answer Choices: (A) 28 sec (B) 89 sec (C) 85 sec (D) 16 sec (E) 15 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
The answer... | 82,750 |
<|im_start|>user
Gold is 11 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
Answer Choices: (A) 3:2 (B) 1:1 (C) 3:1 (D) 5:2 (E) 4:3<|im_end|>
<|im_start|>assistant
<think>
</think>
G = 11W
C = 5W
Let 1gm of gold mixed with... | 16,533 |
<|im_start|>user
How many words with or without meaning, can be formed by using all the letters of the word, ‘POWER’, using each letter exactly once?
Answer Choices: (A) 700 (B) 720 (C) 750 (D) 800 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
The word ‘POWER’ contains 5 different letters.
Therefor... | 80,978 |
<|im_start|>user
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Answer Choices: (... | 44,865 |
<|im_start|>user
What color light is actually the absence of electromagnetic waves in the visible spectrum, for humans?
Answer choice: (A) ultraviolet light (B) infrared light (C) black light (D) blue light<|im_end|>
<|im_start|>assistant
<think>
</think>
The visible range of light (i. e. the range of wavelengths tha... | 5,531 |
<|im_start|>user
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
Answer Choices: (A) 48 (B) 22 (C) 56 (D) 27 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 4... | 39,124 |
<|im_start|>user
Circles X and Y are concentric. If the radius of circle X is six times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
Answer Choices: (A) 13 (B) Pi/3 (C) Pi/2 (D) 35/36 (E) 8/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Small ... | 1,443 |
<|im_start|>user
When x is multiplied by 3, the result is 20 more than the result of subtracting x from 20. What is the value of x?
Answer Choices: (A) 10 (B) -2 (C) 11 (D) 13 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
The equation that can be formed is:
3x-20=20-x
or, 4x=40
or, x=10.
The answer is A<|en... | 28,617 |
<|im_start|>user
The average score of a cricketer for seven matches is 56 runs. If the average for first four matches is 46, then average for last three matches is
Answer Choices: (A) 33.25 (B) 32.25 (C) 65 (D) 67 (E) 69<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=(56×7)−(46×4)/3
=(392−184)/3=69
Th... | 25,324 |
<|im_start|>user
Find the area of the square field if a train 800 metres long passes the field with a speed of 120 kmph in one minute.
Answer Choices: (A) 1.48 sq. km (B) 2.44 sq. km (C) 7.44 sq. km (D) 1.45 sq. km (E) 1.44 sq. km<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
120 km/hr = 120 * 5/18 = ... | 93,698 |
<|im_start|>user
What is a coil of wire with electric current flowing through it called?
Answer choice: (A) a solenoid (B) carrier valve (C) tectonic valve (D) hydraulic valve<|im_end|>
<|im_start|>assistant
<think>
</think>
An electromagnet is a solenoid wrapped around a bar of iron or other ferromagnetic material. ... | 9,622 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which organ protects the body's other organs?
Answer Choices: (A) heart (B) skeleton (C) brain<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 5,010 |
<|im_start|>user
What is the rate percent when the simple interest on Rs.780 amount to Rs.130 in 4 Years?
Answer Choices: (A) 4.16 (B) 5.16 (C) 6.16 (D) 7.16 (E) 8.16<|im_end|>
<|im_start|>assistant
<think>
</think>
130 = (780*4*R)/100
R = 4.16%
The answer is A<|endoftext|> | 30,623 |
<|im_start|>user
A 360 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
Answer Choices: (A) 57.6 sec (B) 20.2 sec (C) 31.8 sec (D) 50.4 sec (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 55 Km/hr
(to convert km/hr in to M/s)
= 55 x 5/18 M/s
Dis... | 31,006 |
<|im_start|>user
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Answer Choices: (A) 17.6 cm (B) 18.6 cm (C) 91.5 cm (D) 16.5 cm (E) 14.6 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(2... | 90,292 |
<|im_start|>user
Group A has 1 boys and 2 girls, group B has 3 boys and 2 girls and group C has 2 boys and 5 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Answer Choices: (A) 3/41 (B) 152/18 (C) 29/105 (D) 219/315 (E) 202/735<|im_end... | 42,337 |
<|im_start|>user
Two locomotives are moving in the same direction at 62 mps and 26 mps. The faster train crosses the slower train in 8 seconds. What is the length of the faster train in meters?
Answer Choices: (A) 247 m (B) 316 m (C) 194 m (D) 270 m (E) 288 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative ... | 82,041 |
<|im_start|>user
A 14% stock yields 8%.The market value of the stock is :
Answer Choices: (A) Rs. 175 (B) Rs. 92 (C) Rs. 112.50 (D) Rs. 116.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 14, investment = Rs.(100/8X14)= Rs. 175
∴ Mark... | 72,145 |
<|im_start|>user
If mn represents a positive two digit number, where m and n are single digit integers, which of the following cannot be true?
Answer Choices: (A) m+n =9 (B) (m) (n) =9 (C) m-n = 9 (D) n-m= 9 (E) m/n = 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) mn = 45 or 63 or 27
(B) mn = 33 or 19
(C) 90
... | 93,684 |
<|im_start|>user
Let's say in a lottery Samuel have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. Samuel is 5th in the row.
What's the chance of Samuel winning now?
Answer Choices: (A) 2% (B) 3% (C) 4% (D) 5% (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
4%... | 53,763 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 2,318 |
<|im_start|>user
9548 + 7314 = 4362 + (?)
Answer Choices: (A) 8300 (B) 8400 (C) 12500 (D) 8700 (E) 9000<|im_end|>
<|im_start|>assistant
<think>
</think>
9548 16862 = 4362 + x
+ 7314 x = 16862 - 4362
----- = 12500
16862
-----
C)
The answer is C<|endoftext|> | 59,408 |
<|im_start|>user
A reduction of 40% in the price of apples would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Answer Choices: (A) 1 (B) 3 (C) 6 (D) 7 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
B
40*(40/100) = 16 --- 64
? --- 12 => Rs.3
The answer is B<|endoftext|> | 19,367 |
<|im_start|>user
A random number is picked following which, five guesses are to be made in order to find the correct number. All the guessed numbers are noted down in a paper. On another paper, all the differences between the guessed numbers and the picked numbers are written down by subtracting the smaller one from th... | 55,579 |
<|im_start|>user
How many digits are in the number 50^8 × 8^3 × 11^2 x 10^4?
Answer Choices: (A) 22 (B) 20 (C) 19 (D) 18 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber ... | 8,847 |
<|im_start|>user
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 52 units per day, what is the value of n ?
Answer Choices: (A) 30 (B) 19 (C) 10 (D) 9 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(average ... | 85,468 |
<|im_start|>user
There is a square with sides of 9. What is the area of the biggest circle that can be cut out of this square?
Answer Choices: (A) 72.83 (B) 63.62 (C) 81 (D) 254.47 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a circle = area=Ï€r^2
Square is 9 wide, so circle's diameter would be 9,... | 89,332 |
<|im_start|>user
Electric generators convert what type of energy to electric energy?
Answer choice: (A) mechanical energy (B) electromagnetic energy (C) thermodynamic energy (D) fluid energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Electric generators convert mechanical energy to electric energy. The generato... | 10,620 |
<|im_start|>user
A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes A revolutions per second, how many revilutions per minute does the larger rim makes in terms of A?
Answer Choices: (A) a) 48pi/A (B) b) 75m (C) c) 48A... | 19,695 |
<|im_start|>user
P,Q and R together earn Rs.1980 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Answer Choices: (A) s.30 (B) s.70 (C) s.90 (D) s.100 (E) s.120<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Amount Earned by P,Q ... | 94,484 |
<|im_start|>user
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.46 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.54 In what ratio should he mix the water and milk?
Answer Cho... | 68,216 |
<|im_start|>user
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 66 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used... | 15,402 |
<|im_start|>user
Pipe A fills a tank in 12 minutes. Pipe B can fill the same tank 3 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Answer Choices: (A) 4 mins (B) 6 mins (C) 5 mins (D) 3 mins (E) 7 mins<|im_end|>
<|im_start|>assistant
<thi... | 73,586 |
<|im_start|>user
The area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm. What is the perimeter of the square?
Answer Choices: (A) 140 (B) 240 (C) 340 (D) 144 (E) 122<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s = 3(27 * 16)
=> s = 9 * 4 = 36 cm
P... | 21,115 |
<|im_start|>user
A can do a work in 6days. B can do in 12days. If both A&B are working together in how many days they can finish the work?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 10 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
1day work of A = 1/6
1day work of B = 1/12
1day work of A&B = 1/6 + 1/12 = 1/4
A&B... | 71,984 |
<|im_start|>user
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 247 (B) 249 (C) 245 (D) 882 (E) 279<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x... | 69,900 |
<|im_start|>user
The reaction of an alkyl halide with an inorganic hydroxide base at elevated temperature produces what?
Answer choice: (A) an alcohol (B) blood (C) methane (D) yeast<|im_end|>
<|im_start|>assistant
<think>
</think>
The reaction of an alkyl halide with an inorganic hydroxide base at elevated temperatu... | 2,154 |
<|im_start|>user
What is a relationship between organisms that strive for the same resources in the same place?
Answer choice: (A) competition (B) antagonistic (C) symbiotic (D) parasitic<|im_end|>
<|im_start|>assistant
<think>
</think>
Competition is a relationship between organisms that strive for the same resource... | 7,139 |
<|im_start|>user
Sarah is driving to the airport. After driving at 50 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 100 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How man... | 85,948 |
<|im_start|>user
You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 10 pens. How many pens do you have at the end?
Answer Choices: (A) 39 (B) 40 (C) 41 (D) 42 (E) 43<|im_end|>
<|im_start|>assi... | 53,872 |
<|im_start|>user
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Answer Choices: (A) 56 (B) 28 (C) 45 (D) 24 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
D
24
Let the required number of days be x.
Less men, More days (Indirect Proportion)
27 : 36 :: 18 :... | 40,803 |
<|im_start|>user
In a lottery draw there are 4 jars containing 5 choices with only one choice as the lucky draw. A candidate wins the lottery draw if he/she picks up all the lucky draws from all the jars. What is the total number of ways in which a candidate will not win the lucky draw?
Answer Choices: (A) 19 (B) 85 (C... | 49,786 |
<|im_start|>user
5/8 of 3/10 of a number is greater than 4/9 of 1/4 of the same number by 55. What is half of that number?
Answer Choices: (A) 310 (B) 312 (C) 320 (D) 314 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
Let no. be x
5/8*3/10*x - 4/9*1/4*x =55
by further solving
15x/80- 4x/36=55
11x/144=55
x=7... | 33,219 |
<|im_start|>user
A train 100 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
Answer Choices: (A) 16 kmph (B) 30 kmph (C) 54 kmph (D) 18 kmph (E) 19 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = 100/12 * 18/5
= 30 kmph
The answer is B<|endoftext|> | 23,331 |
<|im_start|>user
In what group of animals several forms of asexual reproduction are found?
Answer choice: (A) crustaceans (B) invertebrates (C) arthropods (D) insects<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 9,688 |
<|im_start|>user
What harmful substance must not be drained into s storm sewer?
Answer choice: (A) alcohol (B) debris (C) motor oil (D) water runoff<|im_end|>
<|im_start|>assistant
<think>
</think>
People may dispose of harmful substances incorrectly. For example, motor oil must not be drained into a storm sewer.
The... | 8,576 |
<|im_start|>user
The simple form of the ratio 2/3:2/5 is?
Answer Choices: (A) 5:0 (B) 5:3 (C) 5:1 (D) 5:2 (E) 5:7<|im_end|>
<|im_start|>assistant
<think>
</think>
2/3 : 2/5 = 10:6
= 5:3
The answer is D<|endoftext|> | 49,785 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 84 kmph and including stoppages, it is 70 kmph. For how many minutes does the bus stop per hour?
Answer Choices: (A) 12 min (B) 10 min (C) 15 min (D) 14 min (E) 13 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Due to stoppages, it covers 14 km less.
T... | 90,938 |
<|im_start|>user
Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 4 ... | 60,950 |
<|im_start|>user
72,90, 80,85,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 ... | 39,522 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.