text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 12.9 sec (B) 29.0 sec (C) 28.9 sec (D) 10.8 sec (E) 12.3 sec<|im_end|>
<|im_start|>assistant
<think>
</... | 87,138 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 4,327 |
<|im_start|>user
Find the number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit’s sum, the quotient would be 7.
Answer Choices: (A) 64 (B) 74 (C) 84 (D) 87 (E) 89<|im_end|>
<|im_start|>assistant
<think>
</think>
84 is the desired number.
84/12 =7
The answer... | 90,213 |
<|im_start|>user
Ayesha's father was 40 years of age when she was born while her mother was 32 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Answer Choices: (A) 12 years (B) 14 years (C) 16 years (D) 7 years (E) 6 years<|im_end|>
<|im_start|>assis... | 42,859 |
<|im_start|>user
A and B can finish 5 piece of work in 10 days each. C can do 40% faster than A and B.Approximately how many days would it take to finish 51 piece of work with all three working simultaneously?
Answer Choices: (A) 38 (B) 42 (C) 46 (D) 50 (E) 51<|im_end|>
<|im_start|>assistant
<think>
</think>
since c ... | 16,687 |
<|im_start|>user
What is the perimeter of a triangle with sides 7 and 3 that has the maximum possible area?
Answer Choices: (A) 10 + 3√7 (B) 10 + 3√3 (C) 10 + √58 (D) 10 + √71 (E) 10 + √83<|im_end|>
<|im_start|>assistant
<think>
</think>
We can maximize the area of the triangle by making these two sides the base and ... | 81,147 |
<|im_start|>user
The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is
Answer Choices: (A) 59 (B) 57 (C) 55 (D) 58 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
We are asked to find integer solutions for x,y.
There is no need to apply E... | 71,513 |
<|im_start|>user
When an amount was distributed among 14 boys, each of them got $80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Answer Choices: (A) 5050 (B) 5020 (C) 5040 (D) 5030 (E) 5075<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 59,264 |
<|im_start|>user
In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Answer Choices: (A) 22 years (B) 17 years (C) 97 years (D) 16 years (E) 14 years<|im_end|>
<|im_start|>assistant
<think>
</think>
T = (100 * 16500)/(15 * 5000)
= 22 years
The answer is A<|endoftext|> | 51,822 |
<|im_start|>user
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 10 people all together .how many people can sit in a bus?
Answer Choices: (A) 52 (B) 49 (C) 91 (D) 88 (E) 66<|im_end|>
<|im_start|>assistant
<... | 56,545 |
<|im_start|>user
A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 2.5 grams per cubic centimeter and mineral Y weighs 2 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Answer C... | 53,134 |
<|im_start|>user
From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Answer Choices: (A) 1360 (B) 1260 (C) 1060 (D) 1160 (E) 1460<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 36 students and every one has equal chance of ... | 45,742 |
<|im_start|>user
Which system consists of organs that break down food and absorb nutrients such as glucose?
Answer choice: (A) digestive system (B) circulatory system (C) excretory system (D) urinary system<|im_end|>
<|im_start|>assistant
<think>
</think>
The digestive system consists of organs that break down food a... | 5,902 |
<|im_start|>user
Constantly going through some form of growth and repair is a characteristic of all what?
Answer choice: (A) living things (B) viruses (C) bacteria (D) mass<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 579 |
<|im_start|>user
What is the greatest positive integer n such that 3^n is a factor of 36^50?
Answer Choices: (A) 100 (B) 200 (C) 300 (D) 600 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
36 = 3^2 * 2^2.
36^50 = 3^100 * 2^100
The answer is A<|endoftext|> | 32,445 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1254 (B) 1376 (C) 1456 (D) 1555 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 73,955 |
<|im_start|>user
A set of 11 positive integers has an average of 15. Which of the following is the greatest possible value for the median of this set?
Answer Choices: (A) 26 (B) 30 (C) 36 (D) 45 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
for the median to be max , we should take all the values below mead... | 20,008 |
<|im_start|>user
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p - 3?
Answer Choices: (A) 10 (B) 8 (C) 7 (D) 3 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
p is a positive even integer wi... | 29,026 |
<|im_start|>user
A’s speed is 20/14 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Answer Choices: (A) 1/17 (B) 3/17 (C) 1/10 (D) 6/20 (E) 3/10<|im_end|>
<|im_start|>assistant
<think>
</think>
We have the ratio of A’s ... | 7,466 |
<|im_start|>user
Two trains of length 100 meters and 200 meters are 840 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
Answer Choices: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>... | 6,117 |
<|im_start|>user
A number when divided by 5, gives 45 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 10
Answer Choices: (A) A) 5 (B) B) 3 (C) C) 4 (D) D) 6 (E) E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P ÷ 5 = 45
=> P = 45 * 5 = 225
P / 10 =225 / 1... | 76,205 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 3,009 |
<|im_start|>user
Tina’s cat weighs 3.2 kilograms. Her dog weighs 4 times as much as her cat. How much does her dog weigh in kilograms?
Answer Choices: (A) A) 10.4kg (B) B) 38kg (C) C) 12.8kg (D) D) 48kg (E) E) 20kg<|im_end|>
<|im_start|>assistant
<think>
</think>
3.2*4=12.8kg.
The answer is C<|endoftext|> | 93,283 |
<|im_start|>user
The president of a country and 2 other dignitaries are scheduled to sit in a row on the 3 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 3 people?
Answer Choices: (A) 4 (B) 5 (C) 20 (D) 24 (E) 2<|im_end|>
<|im_s... | 85,918 |
<|im_start|>user
What is the smallest unit of life capable of performing all essential life functions?
Answer choice: (A) Tissue. (B) Organ. (C) Cell. (D) Organism.<|im_end|>
<|im_start|>assistant
<think>
</think>
Cells are the basic structural and functional units of living organisms.
The answer is C<|endoftext|> | 81 |
<|im_start|>user
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage?
Answer Choices: (A) 65% (B) 50% (C) 59% (D) 40% (E) 53%<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M of 15 and 12
= 60
CP of 60 articles
= Rs. 100 (25 * 4)
SP of 60 articles
= Rs. 165 (33... | 96,415 |
<|im_start|>user
The area of a triangle is with base 18m and height 6m?
Answer Choices: (A) 88 m2 (B) 10 m2 (C) 66 m2 (D) 54 m2 (E) 31 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 18 * 6 = 54 m2
The answer is D<|endoftext|> | 96,456 |
<|im_start|>user
Their are two boxes containing a total number of 60 balls, each box has an equal number of red and blue balls. What is the probability of getting a red ball from one box and a blue ball from the other
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/16 (D) 1/8 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</thin... | 55,854 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 2,894 |
<|im_start|>user
The medieval catapult has a heavy ballast on one end and what on the other end?
Answer choice: (A) projectile (B) fragment (C) pivot (D) propellant<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 10,562 |
<|im_start|>user
How many cubes of 25 cm edge can be put in a cubical box of 1 m edge.
Answer Choices: (A) 177 cm (B) 100 cm (C) 86 cm (D) 64 cm (E) 87 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of cubes =100∗100∗100/25∗25∗25=64
Note: 1 m = 100 cm
The answer is D<|endoftext|> | 1,821 |
<|im_start|>user
The overall age of X and Y is 19 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Answer Choices: (A) 11 (B) 15 (C) 12 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
D
19
(X + Y) – (Y + Z) = 19
X – Z = 19
The answer is D<|endoftext|> | 23,506 |
<|im_start|>user
The average height of 35 boys in a class was calculated as 185cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).... | 35,803 |
<|im_start|>user
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Answer Choices: (A) 9/7 (B) 5/8 (C) 3/7 (D) 5/12 (E) 4/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Here n(S)=(6*6)=36
let E=event of getting a total more than 7
={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),... | 388 |
<|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... | 6,351 |
<|im_start|>user
Living things get energy from food in a process called respiration, which releases what gas back into the atmosphere?
Answer choice: (A) oxygen (B) hydrogen (C) nitrogen (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
Carbon doesn’t stop there. Living things get energy from food i... | 1,721 |
<|im_start|>user
The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Answer Choices: (A) 10 (B) 19 (C) 20 (D) 25 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the present ages of husban... | 61,608 |
<|im_start|>user
If w/x = 1/3 and w/y = 4/15, then (x + y)/y =
Answer Choices: (A) 4/5 (B) 6/5 (C) 7/5 (D) 8/5 (E) 9/5<|im_end|>
<|im_start|>assistant
<think>
</think>
W/X = 1/3=>x=3w and W/Y = 4/15=>y=15/4w
(X+Y)/Y = (3w+15/4w)/(15/4w) = (27/4w)/(15/4w) = 9/5
Correct Option: E
The answer is E<|endoftext|> | 96,847 |
<|im_start|>user
The kidneys help control acid-base balance by excreting _____ and generating bicarbonate that helps maintain blood plasma ph within a normal range?
Answer choice: (A) magnesium ions (B) sodium ions (C) lithium ions (D) hydrogen ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Buffer Systems in t... | 8,296 |
<|im_start|>user
The edge of a cube is 4a cm. Find its surface?
Answer Choices: (A) 104a2 cm2 (B) 64a2 cm2 (C) 96a2 cm2 (D) 84a2 cm2 (E) 56a2 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
6a2 = 6 * 4a * 4a = 96a2
The answer is C<|endoftext|> | 71,466 |
<|im_start|>user
A train 240 m long is running at a speed of 60 km/hr. In what time will it pass a bridge 240 m long?
Answer Choices: (A) 28.8 sec (B) 20.33 sec (C) 60 sec (D) 48 sec (E) 49 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
total length= 240+240=480
speed=60 km/h=(60*5)/18= 50/3 m/s
time=(480*3)/50... | 75,144 |
<|im_start|>user
In a school with 620 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Answer Choices: (A) 150 (B) 200 (C) 155 (D) 350 (E) None<|im_end|>
<|im_start|>assistant
<think>
</... | 41,689 |
<|im_start|>user
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Answer Choices: (A) 58.75 kmph (B) 68.75 kmph (C) 78.75 kmph (D) 79.75 kmph (E) 48.75 kmph<|im_end|>
<|im_start|>a... | 31,047 |
<|im_start|>user
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 6:4. If 60% of the Toyota bought and 40% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned ... | 21,223 |
<|im_start|>user
Hormones often regulate what through antagonistic functions?
Answer choice: (A) hypothesis (B) consciousness (C) homeostasis (D) breathing<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 5,688 |
<|im_start|>user
A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2, how long did B invest his capital?
Answer Choices: (A) 12 months (B) 8 months (C) 10 months (D) 14 months (E) None of these<|im_end|>
<|im_s... | 30,412 |
<|im_start|>user
Which type of electromagnetic radiation has the shortest wavelength and highest energy?
Answer choice: (A) Radio waves. (B) Microwaves. (C) Ultraviolet rays. (D) Gamma rays.<|im_end|>
<|im_start|>assistant
<think>
</think>
Gamma rays have the highest energy and shortest wavelength among electromagnet... | 216 |
<|im_start|>user
Find the middle one when The sum of five consecutive even numbers is 65?
Answer Choices: (A) 9 (B) 13 (C) 15 (D) 17 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the first number be n
Let the second number be n + 2
Let the third number be n + 4
Let the third number be n + 6
Let the thir... | 28,303 |
<|im_start|>user
Two assembly line inspectors, smithy and glen, inspect widgets as they come off the assembly line. If smithy inspects every fifth widget, starting with the fifth, and glen inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected... | 89,309 |
<|im_start|>user
Cranial nerves convey specific sensory information from the head and neck directly to what organ?
Answer choice: (A) eye (B) brain (C) nose (D) heart<|im_end|>
<|im_start|>assistant
<think>
</think>
Cranial Nerves Cranial nerves convey specific sensory information from the head and neck directly to t... | 7,349 |
<|im_start|>user
What is formed when atoms of different elements bond together?
Answer choice: (A) univalent compound (B) phenotype compound (C) covalent compound (D) duality compound<|im_end|>
<|im_start|>assistant
<think>
</think>
The two atoms that are held together in a covalent bond may be atoms of the same elem... | 3,898 |
<|im_start|>user
Sripad has scored average of 67 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Answer Choices: (A) 85 (B) 28 (C) 38 (D) 27 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</... | 54,686 |
<|im_start|>user
The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
Answer Choices: (A) Rs. 5, Rs.7.50 (B) Rs. 8, Rs. 12 (C) Rs. 16, Rs... | 39,432 |
<|im_start|>user
20-3*4^2+53 = ?
Answer Choices: (A) 25 (B) -13 (C) -73 (D) 13 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
20-3*4^2+53= 20-3*16+53=20-48+53=25..
A
The answer is A<|endoftext|> | 82,721 |
<|im_start|>user
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, 3158, 9476, 28430,x
Answer Choices: (A) 2643 (B) 5464 (C) 3456 (D) 7554 (E) 85292<|im_end|>
<|im_start|>assistant
<think>
</think>
12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
350 × 3 + 2 = 1052
1052... | 75,862 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 28 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 34,960 |
<|im_start|>user
As a treat for her two crying children, a mother runs to the freezer in which she has four cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flav... | 72,538 |
<|im_start|>user
All chemical reactions require what to get started?
Answer choice: (A) activation energy (B) conductivity energy (C) spiked energy (D) primary energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Some chemical reactions release energy, whereas other chemical reactions absorb energy. All chemical r... | 9,444 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 378 (B) 240 (C) 772 (D) 281 (E) 213<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (54 * 5/18) m/s... | 610 |
<|im_start|>user
Sides of a rectangular park are in the ratio 3: 2 and its area is 1536 sq m, the cost of fencing it at 50 ps per meter is?
Answer Choices: (A) 51 (B) 1287 (C) 125 (D) 988 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
3x * 2x = 1536 => x = 16
2(48 + 32) = 102 m
102 * 1/2 = Rs.51
The answer ... | 94,330 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 1000 (B) 999 (C) 8289 (D) 2889 (E) 2132<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
The answer ... | 55,564 |
<|im_start|>user
What type of earthquake has a shallow focus because the plates meet near the surface?
Answer choice: (A) transform fault (B) gas giant (C) divergent boundary (D) tectonic<|im_end|>
<|im_start|>assistant
<think>
</think>
Transform fault earthquakes have shallow focus because the plates meet near the s... | 2,927 |
<|im_start|>user
A point defect can be an atom missing from a site in the crystal known as a what?
Answer choice: (A) void (B) deficiency (C) vacancy (D) vacuum<|im_end|>
<|im_start|>assistant
<think>
</think>
Summary Real crystals contain large numbers of defects. Defects may affect only a single point in the lattic... | 4,428 |
<|im_start|>user
A and B put in Rs.200 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Answer Choices: (A) 39:40 (B) 39:49 (C) 39:42 (D) 39:47 (E) 17:20<|im_end|>
<|im_st... | 54,053 |
<|im_start|>user
5100−(102÷20.4)=?
Answer Choices: (A) 5200 (B) 5150 (C) 5250 (D) 6150 (E) 5095<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=5100−(102/204×10)
=5100−5=5095
Option E
The answer is E<|endoftext|> | 11,968 |
<|im_start|>user
The total of company C's assets in 1994 was 200% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Answer Choices: (A) 7N (B) 8N (C) 9N (D)... | 56,181 |
<|im_start|>user
Which of the following numbers is the biggest => [-4/7 , -7/8 , -9/10 , -12/13 , -34/35]
Answer Choices: (A) A) -4/7 (B) B) -7/8 (C) C) -9/10 (D) D) -12/13 (E) E) -34/35<|im_end|>
<|im_start|>assistant
<think>
</think>
If we observe all the fractions just differ by one i.e denominator vs numerate.. i... | 75,918 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Some animals have a backbone. The backbone is made of many bones in an animal's back. An animal's backbone helps connect the different parts of its body. In the drawings below, each animal's backbone is colored orange.
Other... | 3,152 |
<|im_start|>user
A tin is full of wine. Out of this tin, 4 gallons of wine are taken out and 4 gallons of water are added. After this 4 gallons of mixture were taken out and again 4 gallons of water were added. Now the ratio of wine and water in the tin becomes 36:13. Find the volume of tin.
Answer Choices: (A) 25 (B) ... | 3,349 |
<|im_start|>user
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Answer Choices: (A) 10 (B) 20 (C) 24 (D) 26 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x +... | 29,386 |
<|im_start|>user
Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 80 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?
Answer Choi... | 90,882 |
<|im_start|>user
A man is 25 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
Answer Choices: (A) 21 (B) 22 (C) 20 (D) 18 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the son's present age be x years. Then, man's present age = ... | 89,954 |
<|im_start|>user
The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 850 per sq. metre.
Answer Choices: (A) s. 15,550 (B) s. 15,600 (C) s. 16,500 (D) s. 17,600 (E) s. 18,700<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the floor = (5.5 × 4) m2 = 2... | 47,885 |
<|im_start|>user
In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?
2463315 7833346233339723
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
total 3 are there
The answer is C<|endoftext|> | 48,902 |
<|im_start|>user
An unbiased die is tossed. Find the probability of getting a multiple of 2.
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/3 (D) 1/4 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
here s= {1,2,3,4,5,6}
let E be the getting of a multiple of 2.
then E = {2,4,6}
probability = 3/6 = 1/2
correct option i... | 10,313 |
<|im_start|>user
A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Answer Choices: (A) 288 m (B) 256 m (C) 100 m (D) 278 m (E) 287 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the l... | 2,908 |
<|im_start|>user
A person can row at 9 kmph and still water. He takes 7 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Answer Choices: (A) 33 (B) 28 (C) 29 (D) 54 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the distance between A and B... | 42,627 |
<|im_start|>user
A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 360 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Answer Choices: (A) 90 (B) 110 (C) 1... | 59,053 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 5,738 |
<|im_start|>user
he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Answer Choices: (A) 12 kmph. (B) 17 kmph. (C) 14 kmph. (D) 21 kmph. (E) 19 kmph.<|im_end|>
<|im_start|>as... | 78,772 |
<|im_start|>user
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Answer Choices: (A) 20 (B) 40 (C) 50 (D) 60 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be a, b and C. Then,
a2 + b2 + c2 = 138 and (ab + bc + ca) = 13... | 25,854 |
<|im_start|>user
Balloons and confetti are sold in different colours at a store. Balloons of three different colours and confetti of two different colours are to be bought by Jim Bob Jones from this store. If there are seven colours of balloons available and if there are a total of 350 combinations of different colours... | 81,490 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 5,157 |
<|im_start|>user
A man can row upstream at 34 kmph and downstream at 48 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 29 (B) 92 (C) 41 (D) 32 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 34
DS = 48
M = (48 + 34)/2 = 41
The answer is C<|endoftext|> | 39,192 |
<|im_start|>user
which of the following options must be accurate if given the equation below: h=-e^7
I. h is positive.
II. If e is negative then h is negative.
III. e is non-negative.
Answer Choices: (A) I only (B) II and III only (C) I and III only (D) II only (E) III only<|im_end|>
<|im_start|>assistant
<think>
</th... | 79,694 |
<|im_start|>user
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand B?
Answer Choices: (A) 40% (B) 45% (C) 50 % (... | 51,845 |
<|im_start|>user
Find the highest common factor of 36 and 84.
Answer Choices: (A) 4 (B) 6 (C) 12 (D) 18 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
36 = 22 x 32
84 = 22 x 3 x 7
H.C.F. = 22 x 3 = 12.
The answer is C<|endoftext|> | 13,400 |
<|im_start|>user
The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
Answer Choices: (A) 30 (B) 28 (C) 24 (D) 20 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Product of two nos = product of HCF and LCM
Let one number = x
=> 25 * x = 5 * 150
x=5*150/25=30
... | 73,527 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 3,440 |
<|im_start|>user
ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Answer Choices: (A) 1:5 (B) 625:3125 (C) 100:105 (D) 100^4:105^4 (E) 725:3225<|im_end|>
<... | 10,942 |
<|im_start|>user
What is 992*992?
Answer Choices: (A) 974,169 (B) 974,219 (C) 984,064 (D) 985,219 (E) 985,369<|im_end|>
<|im_start|>assistant
<think>
</think>
if you take a base of 1000 then 992 is 8 less than 1000
to get the product of 992 x 992 write like this
992- 8( as 8 less than base1000)
992- 8
now 8 x 8 ... | 83,436 |
<|im_start|>user
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train ?
Answer Choices: (A) 230 m (B) 240 m (C) 260 m (D) 270 m (E) 280 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = 72*5/18m/sec = 20 m/sec; Time = 2... | 20,995 |
<|im_start|>user
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Answer Choices: (A) 229 (B) 108 (C) 278 (D) 126 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
S = 180/6 * 18/5 = 108 kmph
The answer is B<|endoftext|> | 89,678 |
<|im_start|>user
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Answer Choices: (A) 1261 (B) 276 (C) 88 (D) 27 (E) 828<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A = 8000(21/20)3
= 9261
= 8000
---------
1261
The answer is A<|endoftext|> | 49,654 |
<|im_start|>user
The distance between two cities A and B is 600 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Answer Choices: (A) 09 AM (B) 07 AM (C) 01 PM (D) 05 PM (E) 03PM<|im_end|>
<|im_start|>... | 15,381 |
<|im_start|>user
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Answer Choices: (A) 30 % (B) 50 % (C) 60 % (D) 70 % (E) 80 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= ... | 63,439 |
<|im_start|>user
In great apes, what process lasts 8-9 months and usually results in the birth of a single offspring?
Answer choice: (A) mating (B) hibernation (C) gestation (D) reproduction<|im_end|>
<|im_start|>assistant
<think>
</think>
Gestation (pregnancy) lasts 8-9 months and usually results in the birth of a s... | 8,507 |
<|im_start|>user
In a certain parking lot, 3% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What % of cars in the parking lot are parked illegally.'
Answer Choices: (A) 11 (B) 13 (C) 15 (D) 60 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
So T... | 65,219 |
<|im_start|>user
A certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Answer Choices: (A) 25% (B) 33 1/3% (C) 100% (D) 66 2/3% (E) 75%<|im_end|>
<|im_... | 46,294 |
<|im_start|>user
Two cyclists are running on a circular track of 600m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?
Answer Choices: (A) 1:3 (B) 2:3 (C) 3:5 (D) 5:7 (E) 7:11<|im_end|>
<|im_sta... | 71,176 |
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