text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Answer Choices: (A) 40 sec (B) 42 sec (C) 45 sec (D) 48 sec (E) 49 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
total length= 360+140=500
speed=45km/h=(45*5)/18= 25/2m/s
time=(500*2)/25=40 sec... | 31,334 |
<|im_start|>user
What type of force always opposes the direction of motion?
Answer choice: (A) kinetic friction (B) binary friction (C) strong force (D) harmonic friction<|im_end|>
<|im_start|>assistant
<think>
</think>
Kinetic friction acts between two surfaces that are in contact and in motion with respect to each ... | 7,732 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 3,556 |
<|im_start|>user
By selling a book for 290, 20% profit was earned. What is the cost price of the book?
Answer Choices: (A) A) 215 (B) B) 241 (C) C) 230 (D) D) 235 (E) E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 120% of CP; :. CP = 290 × 100/120 = 241
Option 'B'
The answer is B<|endoftext|> | 96,540 |
<|im_start|>user
An antique shop has four different vases (vase 1, vase2, vase3, vase4) which are valued at different prices. If vase2 is 30% less in value than vase1, vase3 is 10% less than vase2, and vase4 is 5% less than vase3. what percent of vase1's cost is a vase3?
Answer Choices: (A) 50.85% (B) 59.85% (C) 60.85%... | 14,912 |
<|im_start|>user
Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
Answer Choices: (A) 26/36 (B) 26/31 (C) 26/19 (D) 26/33 (E) 26/38<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ages of Ramu and Shyam be x and y resp... | 33,484 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
In a title, capitalize the first word, the last word, and every important word in between.
The Wind in the Willows James and the Giant Peach
These words are not important in titles:
Articles, a, an, the
Short prepositions, s... | 1,935 |
<|im_start|>user
What is the most abundant type of biological entity on the earth?
Answer choice: (A) viruses (B) bacteria (C) reptiles (D) insects<|im_end|>
<|im_start|>assistant
<think>
</think>
Viruses were first described by Dmitri Ivanovsky in 1892. He described a "non-bacterial pathogen" infecting tobacco plant... | 7,457 |
<|im_start|>user
A bus takes 8 hours to cover a distance of 600 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time?
Answer Choices: (A) 50 Kmph (B) 56 Kmph (C) 63 Kmph (D) 55 Kmph (E) 70 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 8
Distance ... | 57,471 |
<|im_start|>user
If the area of circle is 616 sq cm then its circumference?
Answer Choices: (A) 11 (B) 88 (C) 99 (D) 266 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
22/7 r2 = 616 => r = 14
2 * 22/7 * 14 = 88
The answer is B<|endoftext|> | 1,087 |
<|im_start|>user
A searchlight on top of the watchtower makes 4 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
Answer Choices: (A) 5/6 (B) 4/5 (C) 3/4 (D) 2/3 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
The searchlight com... | 93,548 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A thermometer is a tool that measures temperature. Temperature can be measured in degrees. The symbol for degrees is °.
Some thermometers measure temperature in degrees Fahrenheit (°F). Fahrenheit is one scale used to measur... | 1,164 |
<|im_start|>user
A big container is 35% full with water. If 16 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Answer Choices: (A) 32 (B) 40 (C) 48 (D) 54 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
16 liters is 40% of the capacity C.
16 = 0.4... | 89,408 |
<|im_start|>user
The speed of a boat in still water in 37 km/hr and the rate of current is 13 km/hr. The distance travelled downstream in 10 minutes is:
Answer Choices: (A) 10.44 km (B) 10.6 km (C) 11.4 km (D) 11.22 km (E) 8.33 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed downstream = (37 + ... | 3,085 |
<|im_start|>user
What do monotremes lack though they have hair and produce milk?
Answer choice: (A) nerves (B) skin (C) nipples (D) tail<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 2,434 |
<|im_start|>user
Given a set of numbers {5,6,7,8,9,10}, what is the probability that is two numbers are selected randomly that their sum will be greater than 12?
Answer Choices: (A) 13/15 (B) 9/12 (C) 13/12 (D) 13/11 (E) 13/16<|im_end|>
<|im_start|>assistant
<think>
</think>
First problem is 6C2 = 12 .. Not 20..
Poin... | 25,050 |
<|im_start|>user
A customer pays 70 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Answer Choices: (A) A) $50 (B) B) $60 (C) C) $70 (D) D) $80 (E) E) $90<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the original price.
x - 20 = 70
x - 20 + 20 = 70... | 61,706 |
<|im_start|>user
The perimeters of two squares are 44 cm and 36 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Answer Choices: (A) 76 cm (B) 24 cm (C) 25.2 cm (D) 55 cm (E) 34 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
We know perimeter of squa... | 50,949 |
<|im_start|>user
What was the day on 15th august 1947 ?
Answer Choices: (A) Friday (B) Sunday (C) Saturday (D) Thursday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)
Odd days in 1600 years = 0
Odd days in 300 years = 1
46 years... | 16,507 |
<|im_start|>user
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent Q above the cost price were his articles marked?
Answer Choices: (A) 100% (B) 80% (C) 75% (D) 66+2/3% (E) 50%<|im_end|>
<|... | 93,751 |
<|im_start|>user
If a car had traveled 10 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 30 km, at what speed did it travel?
Answer Choices: (A) 20 kmh (B) 25 kmh (C) 30 kmh (D) 35 kmh (E) 40 kmh<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = Distance/Spe... | 49,707 |
<|im_start|>user
What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
Answer Choices: (A) Rs. 108 (B) Rs. 120 (C) Rs. 102 (D) Rs. 106 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Present Worth, PW = F - TD = 540 - 90 = Rs. 450
Simple Interest on the Pre... | 27,920 |
<|im_start|>user
David paid $7,000 for 100 shares of stock X and $5,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/4 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have be... | 44,177 |
<|im_start|>user
Birds actually have two basic types of feathers: flight feathers and?
Answer choice: (A) down feathers (B) colorful plumes (C) landing feathers (D) shed feathers<|im_end|>
<|im_start|>assistant
<think>
</think>
Feathers help birds fly and also provide insulation and serve other purposes. Birds actual... | 11,468 |
<|im_start|>user
There are 4 more women than men on Centerville's board of education. If there are 14 members on the board, how many are women?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: M=W-4 so, W+(W-4)=14 --> W=9.
The answer is E<|endoftext|> | 10,107 |
<|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... | 684 |
<|im_start|>user
X can finish a work in 21 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by X in 1 day = 1/21
Work... | 48,461 |
<|im_start|>user
What do we call a peptide hormone composed of nine amino acids that lowers blood pressure?
Answer choice: (A) angiotensin (B) parcnid (C) bradykinin (D) bufotenin<|im_end|>
<|im_start|>assistant
<think>
</think>
Bradykinin is a peptide hormone composed of nine amino acids that lowers blood pressure. ... | 11,465 |
<|im_start|>user
A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts five hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Answer Choices: (A) 3 (B) 4.5 (C) 4 (D) d) 10 (E) e) 5<|im_end|>
<|im_sta... | 76,670 |
<|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... | 2,018 |
<|im_start|>user
A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 8 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:
Answer Choices: (A) 8/3 DAYS (B) 3/8 DAYS (C) 1/4 DAYS (D) 4/1 DAYS (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</think>
RATIO OF RATES OF W... | 62,515 |
<|im_start|>user
A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Answer Choices: (A) 3 (B) 6 (C) 7 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The measure of the third side of a ... | 36,191 |
<|im_start|>user
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Answer Choices: (A) 8% (B) 5% (C) 2% (D) 3% (E) 1%<|im_end|>
<|im_start|>assistant
<think>
</think>
3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/10... | 43,148 |
<|im_start|>user
Solve 8x – 4 = 4x + 11
Answer Choices: (A) 5(1/3) (B) 6(1/3) (C) 7(1/3) (D) 3(3/4) (E) 9(1/3) <|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
8x – 4 = 4x + 11
=> 8x – 4x = 11 + 4
=> 4x = 15 => x = 15/3 = 3(3/4).
The answer is D<|endoftext|> | 651 |
<|im_start|>user
The slant height of a cone is 10 cm and radius of the base is 5cm, find the curved surface of the cone?
Answer Choices: (A) 150 (B) 155 (C) 158 (D) 157 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
π * 10 * 5
= 157
The answer is D<|endoftext|> | 1,405 |
<|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... | 2,779 |
<|im_start|>user
The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Answer Choices: (A) 5100 (B) 5120 (C) 5200 (D) 5400 (E) 5500<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
8000 × 80/10... | 66,881 |
<|im_start|>user
4+7=1281
4+6=1240
8+3=1241
9+9=?
Answer Choices: (A) 1717 (B) 1818 (C) 1817 (D) 1718 (E) 1854<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y = ABCD
BC = x*y
AD=x+y
e.g. 4+7
BC=4*7=28
AD=4+7=11
ABCD = 1281
..
.
similarly
9+9=1818
4+7=1281
4+6=1240
8+3=1241
9+9=1818
The answer is B<|endoftext|> | 56,857 |
<|im_start|>user
A man runs 1 mile at a speed of r mph. If he runs at a speed of r+20 miles per hour, he would run the same distance in 4 minutes less. What is the value of r?
Answer Choices: (A) 20 mph (B) 8 mph (C) 7 mph (D) 10 mph (E) 5 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
Convert minutes to hours:... | 95,497 |
<|im_start|>user
What does the body derive from the breakdown of the carbohydrate-containing foods and drinks we consume?
Answer choice: (A) insulin (B) lipids (C) amino acids (D) glucose<|im_end|>
<|im_start|>assistant
<think>
</think>
Regulation of Blood Glucose Levels by Insulin and Glucagon Glucose is required fo... | 5,864 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 527 |
<|im_start|>user
A person got Rs.40 more when he invested a certain sum at compound interest instead of simple interest for two years at 10% p.a. Find the sum?
Answer Choices: (A) 7500 (B) 4000 (C) 5000 (D) 4500 (E) 2671<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (d * 1002) / R2
=> (40 * 100 * 100) / 10 * 1... | 85,756 |
<|im_start|>user
A man received a cheque. The amount in Rs. has been transposed for paise and vice versa. After spending Rs. 5 and 42 paise, he discovered he now had exactly 6 times the value of the correct cheque amount. What amount he should have received?
Answer Choices: (A) Rs 5.30 (B) Rs 6.44 (C) Rs 60.44 (D) Rs 1... | 46,819 |
<|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... | 2,622 |
<|im_start|>user
A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
Answer Choices: (A) 21st (B) 22nd (C) 23rd (D) 24th (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
In 2 minutes... | 86,676 |
<|im_start|>user
150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
Answer Choices: (A) 98 days (B) 60 days (C) 56 days (D) 76 days (E) 45 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day
Let us say 70 m... | 79,990 |
<|im_start|>user
10, 25, 45, 54, 60, 75, 80
Answer Choices: (A) 10 (B) 45 (C) 54 (D) 75 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Each of the numbers except 54 is multiple of 5.
The answer is C<|endoftext|> | 24,101 |
<|im_start|>user
Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?
Answer Choices: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
134-132=2
46-44=2
x-12=2
x=14
The answer is A<|endoftext|> | 4,514 |
<|im_start|>user
According to a 2010 census, males account for 51.27% of China's 1.34 billion people, while females made up 48.73% of the total. Which answer is closest to the ratio of male to female?
Answer Choices: (A) 1.1 to 1 (B) 2 to 1 (C) 8 to 1 (D) 0.5 to 1 (E) 0.8 to 1<|im_end|>
<|im_start|>assistant
<think>
<... | 63,008 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 1,307 |
<|im_start|>user
All living organisms are classified into one of six broad categories called what?
Answer choice: (A) kingdoms (B) cities (C) tribes (D) nobles<|im_end|>
<|im_start|>assistant
<think>
</think>
The level of biodiversity found in the fossil record suggests that the last few million years include the per... | 2,901 |
<|im_start|>user
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 108 grams of compound X?
Answer Choices: (A) 90 (B) 162 (C) 250 (D) 270 (E) 322<|im_end|>
<|im_start|>assistant
<think>
</think>
total number of fractions =2+10=12
... | 79,809 |
<|im_start|>user
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Answer Choices: (A) 15 m,17m (B) 15 m,16m (C) 15 m,10m (D) 15 m,90m (E) 15 m,30m<|im_end|>
<|im_start|>assistant
<think>
</think>
lb = 150
2(l + b) = 50 => l + b = 25
l – b = 5
l = 15 b = 10
The answer ... | 25,564 |
<|im_start|>user
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Answer Choices: (A) 19:1 (B) 19:4 (C) 19:8 (D) 19:5 (E) 19:2<|im_end|>
<|im_start|>assistant
<think>
</think>... | 43,845 |
<|im_start|>user
Evaluate 75 / .05
Answer Choices: (A) 1400 (B) 1500 (C) 1505 (D) None of these (E) 1506<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
75/.05 = 7500/5 = 1500
Option B
The answer is B<|endoftext|> | 30,104 |
<|im_start|>user
The total weight of eight nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Answer Choices: (A) 0.18 oz. (B) 0.375 oz. (C) 1.8 oz. (D) 5 oz. (E) 18 oz<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = Total/Number of items
= 3/8 = 0.375.
Hence, B... | 29,912 |
<|im_start|>user
How many integers are there between 15 and 97, inclusive?
Answer Choices: (A) 51 (B) 55 (C) 56 (D) 57 (E) 83<|im_end|>
<|im_start|>assistant
<think>
</think>
I guess the easiest way to answer this is -
Say you have two positive integers, x and y where y > x
Then the number of integers between x and y... | 29,110 |
<|im_start|>user
A train passes a station platform in 30 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 120 m (B) 240 m (C) 168 m (D) 75 m (E) 60 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 ... | 19,112 |
<|im_start|>user
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(28)?
Answer Choices: (A) 2 (B) 7 (C) 11 (D) 13 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
f(28) = 2*4*6*8*1... | 58,610 |
<|im_start|>user
A clock is started at noon. By 10 minutes past 7, the hour hand has turned through how many degrees?
Answer Choices: (A) 205° (B) 210° (C) 215° (D) 220° (E) 225°<|im_end|>
<|im_start|>assistant
<think>
</think>
The angle traced by the hour hand in 12 hrs is 360°
The angle traced by the hour han... | 66,066 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 6,437 |
<|im_start|>user
The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ?
Answer Choices: (A) 82% (B) 78% (C) 80% (D) 90% (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Since Side1 x Side2 = Area
Therefore... | 80,672 |
<|im_start|>user
Which of the following values is the greatest
Answer Choices: (A) a) 11% of 89 (B) b) 22% of 78 (C) c) 45% of 67 (D) d) 44% of 56 (E) e) 55% of 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Are you sure that you checked
The answer is C<|endoftext|> | 67,777 |
<|im_start|>user
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 78, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
Answer Choices: (A) K... | 63,263 |
<|im_start|>user
Pipe A can fill a tank in 4 hours. Due to a leak at the bottom, it takes 6 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Answer Choices: (A) 12 (B) 67 (C) 95 (D) 36 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the leak can empty the full ta... | 18,841 |
<|im_start|>user
Nicky and Cristina are running a 100 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Ans... | 33,949 |
<|im_start|>user
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 15 candidates. She plans to have one working interview with 3 of the 15 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the ... | 80,383 |
<|im_start|>user
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Answer Choices: (A) Rs.10000, Rs.15029 (B) Rs.10000, Rs.15209 (C) Rs.10000, Rs.15129 (D) Rs.10000, Rs.15000 (E) Rs.10000,... | 7,689 |
<|im_start|>user
When 4 dice are thrown, what is the probability that the same number appears on each of them?
Answer Choices: (A) 1/36 (B) 1/18 (C) 1/216 (D) 1/5 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Sample space (Denominator): When 4 dice are thrown simultaneously, then the total number of possib... | 60,711 |
<|im_start|>user
What do some plants produce that protects dormant seeds and aids in their dispersal?
Answer choice: (A) fruit (B) roots (C) leaves (D) stems<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,661 |
<|im_start|>user
A heap of coconuts is divided into groups of 2, 3 and 11 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Answer Choices: (A) A) 31 (B) B) 41 (C) C) 51 (D) D) 67 (E) E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM = 66
=> 66 + 1 =... | 35,306 |
<|im_start|>user
What keeps various species from mating and reproducing outside their own species?
Answer choice: (A) digestive system incompatibility (B) reproductive organ incompatibility (C) brain organ incompatibility (D) cancer organ incompatibility<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 18.19 T... | 4,290 |
<|im_start|>user
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Answer Choices: (A) 9 (B) 8 (C) 5 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(700 – 300)/42 = 9 22/42 => 9 Numbers
The answer is A<|endoftext|> | 30,509 |
<|im_start|>user
When tossing two coins once, what is the probability of heads on both the coins?
Answer Choices: (A) 1/4 (B) 1/2 (C) 3/4 (D) 1/3 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of... | 65,549 |
<|im_start|>user
In a certain game, you perform three tasks. You flip a quarter, and success would be tails. You roll a single die, and success would be a even number. You pick a card from a full playing-card deck, and success would be picking a ace card. If exactly one of these three tasks is successful, then you win ... | 74,533 |
<|im_start|>user
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Answer Choices: (A) $130 (B) $220 (C) $190 (D) $200 (E) $150<|im_end|>
<|im_start|>assistant
<think>
... | 28,228 |
<|im_start|>user
If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Answer Choices: (A) 4/5 (B) 3/5 (C) 3/10 (D) 1/5 (E) 1/10<|im_end|>
<|im_start|>assistant
<think>
</think>
15 + 20... | 9,950 |
<|im_start|>user
A vendor bought toffees at 6 for a dollar. How many for a dollar must he sell to gain 20%?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
C
5
C.P. of 6 toffees = $ 1
S.P. of 6 toffees = 120% of $ 1 = $ 6/5
For $ 6/5, toffees sold = 6. For $ 1.
Toffees s... | 54,313 |
<|im_start|>user
Laura's cookie recipe calls for 12 g of sugar for each 3 g of oil used. She needs to make 6 times the original recipe. If 72 g of sugar is used, then how many g of oil are needed?
Answer Choices: (A) 18 (B) 36 (C) 12 (D) 54 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of g of sugar n... | 23,837 |
<|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 22 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... | 821 |
<|im_start|>user
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work?
Answer Choice... | 2,735 |
<|im_start|>user
A certain protective additive increases from 20 days to 25 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) 50% (D) 66 2/3% (E) 75%<|im_end|>
<|im_s... | 30,646 |
<|im_start|>user
A can do a piece of work in 10 hours; B and C together can do it in 9 hours, while A and C together can do it in 18 hours. How long will B alone take to do it?
Answer Choices: (A) 5 5/4 hours (B) 6 5/8 hours (C) 15 8/6 hours (D) 6 8/9 hours (E) 6 6/14 hours<|im_end|>
<|im_start|>assistant
<think>
</th... | 58,183 |
<|im_start|>user
How many minutes is it before 12 noon if 20 minutes ago it was three times as many minutes after 9 am?
Answer Choices: (A) 40 (B) 39 (C) 42 (D) 55 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
A
40 minutes, or 11.20 am
The answer is A<|endoftext|> | 73,989 |
<|im_start|>user
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Answer Choices: (A) 766 sq.cm (B) 165 sq.cm (C) 186 sq.cm (D) 168 sq.cm (E) 600 sq.cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect ... | 36,761 |
<|im_start|>user
If a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21, what is the range of a/b?
Answer Choices: (A) 140/217 (B) 156/185 (C) 217/140 (D) 263/149 (E) 241/163<|im_end|>
<|im_start|>assistant
<think>
</think>
The way to approach this problem is 8<a<15 and... | 70,670 |
<|im_start|>user
|16 - 5| - |5 - 12| = ?
Answer Choices: (A) 3 (B) 2 (C) 1 (D) 0 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
|16 - 5| - |5 - 12| = | 11 | - | -7 | =11 - 7 = 4
The answer is E<|endoftext|> | 38,715 |
<|im_start|>user
The sum of the present ages of A, B, C is 51 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Three years ago:
a:b:c = 1:2:3
Let a = 1x, b = 2x, and c = 3x.
Today:
... | 18,597 |
<|im_start|>user
A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.
Answer Choices: (A) 140 workers (B) 150 w... | 38,084 |
<|im_start|>user
A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability J that the first ball picked up is odd numbered?
Answer Choices: (A) 0 (B) 1/3 (C) 1/2 (... | 76,842 |
<|im_start|>user
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 50
II. 70
III. 92
Answer Choices: (A) I only (B) III only (C) I and II (D) I and III (E) II... | 69,182 |
<|im_start|>user
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 33.3 kg of zinc has been consumed in it?
Answer Choices: (A) 58 kg (B) 60 kg (C) 64 kg (D) 70 kg (E) 74<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
Fo... | 2,751 |
<|im_start|>user
In how many ways can 5 boys be allotted four different sofas such that none of the sofas are empty and all the 5 boys are accommodated?
Answer Choices: (A) 300 (B) 290 (C) 280 (D) 260 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys ca... | 8,016 |
<|im_start|>user
A shopkeeper sold 30 articles at the cost price of 35 articles. Then find the profit% or lost%
Answer Choices: (A) 12% (B) 15% (C) 16.67% (D) 18% (E) 22%<|im_end|>
<|im_start|>assistant
<think>
</think>
here 30 articles selling price = 35 articles cost price
so the difference = 35-30 = 5
% of profit ... | 5,872 |
<|im_start|>user
If 0.75 : x :: 5 : 8, then x is equal to:
Answer Choices: (A) 1.12 (B) 1.2 (C) 1.25 (D) 1.3 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
(x * 5) = (0.75 * 8)
x = 6/5
x = 1.20
The answer is B<|endoftext|> | 80,927 |
<|im_start|>user
Can you tell Which of the following fractions is the largest?
Answer Choices: (A) 5/6 (B) 11/14 (C) 12/15 (D) 17/21 (E) 29/35<|im_end|>
<|im_start|>assistant
<think>
</think>
another way is by taking LCM of denominators(2*3*5*7)
(a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just... | 85,536 |
<|im_start|>user
A can do a piece of work in 4hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Answer Choices: (A) 8 hours (B) 10 hours (C) 12 hours (D) 24 hours (E) 30 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
A's 1 hour work... | 92,677 |
<|im_start|>user
In a game of 100 points, A can give B 20 points and C 25 points. then how many points can B give C in a game of 70?
Answer Choices: (A) 4.38 (B) 6.38 (C) 7.38 (D) 8.38 (E) 9.38<|im_end|>
<|im_start|>assistant
<think>
</think>
In a game of 100 points,A give B 20 points and c 25 points means B=80,C=75
... | 73,575 |
<|im_start|>user
What is the greatest prime factor of 4^18 - 2^30?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
4^18 - 2^30
=(2^2)^18 - 2^30
= 2^36 - 2^30
= 2^30 (2^6 -1)
= 2^30 * (64-1)
= 2^30 * 63
= 2^30 * 7 * 9
= 2^30 * 3^2 * 7
The greatest prime factor is 7.
The ... | 7,237 |
<|im_start|>user
What is light that has only a single wavelength called?
Answer choice: (A) primary (B) monochromatic (C) fluorescent (D) spectroscopy<|im_end|>
<|im_start|>assistant
<think>
</think>
with only certain radii were allowed. Lines in the spectrum were due to transitions in which an electron moved from a ... | 10,519 |
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