text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Answer Choices: (A) 76 (B) 88 (C) 66 (D) 55 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a triangle = r * s
Where r is the in radius and s is the semi perimeter of the... | 8,838 |
<|im_start|>user
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Answer Choices: (A) 20 (B) 22 (C) 26 (D) 24 (E) 30<|im_end|... | 55,357 |
<|im_start|>user
What do prevailing winds influence?
Answer choice: (A) weather (B) climate (C) temperature (D) barometric pressure<|im_end|>
<|im_start|>assistant
<think>
</think>
Prevailing winds are the result of atmospheric circulation cells. They influence the climate of a region.
The answer is B<|endoftext|> | 10,733 |
<|im_start|>user
If a + xy = a and x is not equal to 0, which of the following must be true?
Answer Choices: (A) y=0 (B) x>y (C) y<x (D) x-y=0 (E) x+y=0<|im_end|>
<|im_start|>assistant
<think>
</think>
a + xy = a --> xy=0. Since x is not equal to 0, thus y = 0.
The answer is A<|endoftext|> | 73,325 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Solid and liquid are states of matter. Matter is anything that takes up space. Matter can come in different states, or forms.
When matter is a solid, it has a shape of its own.
Some solids can be bent or broken easily. Other... | 5,506 |
<|im_start|>user
What species do humans belong to?
Answer choice: (A) homo erectus (B) hominids (C) homo sapiens (D) monkeys<|im_end|>
<|im_start|>assistant
<think>
</think>
Homo sapiens is our species. We originated about 200,000 years ago in Africa. Evidence of a spiritual life appears about 32,000 years ago. The e... | 109 |
<|im_start|>user
What is the greatest positive integer n such that 3^n is a factor of 54^100?
Answer Choices: (A) 100 (B) 200 (C) 300 (D) 600 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
54 = 3^3 * 2.
54^100 = 3^300 * 2^100
The answer is C<|endoftext|> | 80,323 |
<|im_start|>user
Twenty four years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Answer Choices: (A) 144 (B) 76 (C) 108 (D) 105 (E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages ... | 60,805 |
<|im_start|>user
IF THE PROBABILITY is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails?
Answer Choices: (A) 0.064 (B) 0.36 (C) 0.64 (D) 0.784 (E) 0.936<|im_end|>
<|im_start|>assistant
<think>
</thi... | 81,559 |
<|im_start|>user
A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
Answer Choices: (A) P and A are cousins (B) P is the maternsl uncle of A (C) Q is the maternal grandfather of A (D) C and P are sisters (E) none<|im_end|>
<|im_start|>assistant... | 47,761 |
<|im_start|>user
Fish are a diverse and interesting group of organisms in what sub-phylum?
Answer choice: (A) mammals (B) vertebrates (C) invertebrates (D) organelles<|im_end|>
<|im_start|>assistant
<think>
</think>
If the word fish makes you think of cute little goldfish in a tank, check out the anglerfish pictured ... | 5,913 |
<|im_start|>user
One paper sheet can be used to create 8 paper boats or 6 paper planes. If total exact 80 paper toys are to be made, minimum how many sheets need to be used to make paper boats?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us say x sheets are used ... | 95,710 |
<|im_start|>user
A box contains 10 tablets of medicine A and 10 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Answer Choices: (A) 12 (B) 15 (C) 17 (D) 19 (E) 21<|im_end|>
<|im_start|>assistant
<think... | 18,649 |
<|im_start|>user
Arun, Kamal and Vinay invested Rs.8000, Rs.4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Answer Choices: (A) 10000 and 15000 (B) 15000 and 10000 (C) 5000 and 20000 (D) 20000 and 5000 (... | 39,625 |
<|im_start|>user
If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does n^2 have?
Answer Choices: (A) 5 (B) 7 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
take the example of 16...
it has 5 positive divisors (1,2,4,8,16)
Now, take the example of... | 20,183 |
<|im_start|>user
An employer has 4 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Answer Choices: (A) a) 1,490 (B) b) 132 (C) c) 120 (D) d) 60 (E) e) 23<|im_... | 50,765 |
<|im_start|>user
If shares of two persons in profits are Rs.600 and Rs.300 then ratio of their capitals is
Answer Choices: (A) 3:4 (B) 2:3 (C) 4:3 (D) 1:3 (E) 2:1<|im_end|>
<|im_start|>assistant
<think>
</think>
total profit =1000
ratio=600/300
=2:1
The answer is E<|endoftext|> | 7,152 |
<|im_start|>user
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country X. If calls to country X are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereaf... | 56,588 |
<|im_start|>user
One decade ago, X was half of Y in age. If the proportion of their current ages is 3:4, what will be the overall of their current ages?
Answer Choices: (A) 35 years (B) 44 years (C) 76 years (D) 55 years (E) 43 years<|im_end|>
<|im_start|>assistant
<think>
</think>
A
35 years
Let the ages of X and Y ... | 57,587 |
<|im_start|>user
A sun is divided among X, Y and Z in such a way that for each 2 rupees X gets, Y gets 1 rupee 50 paisa and Z gets 1 rupee 20 paisa. If the share of X is RS. 125, what is the total amount?
Answer Choices: (A) 283.75 (B) 193.75 (C) 293.75 (D) 290.75 (E) 313.75<|im_end|>
<|im_start|>assistant
<think>
</t... | 13,265 |
<|im_start|>user
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a custo... | 75,979 |
<|im_start|>user
A car going at 20 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Answer Choices: (A) 40 (B) 50 (... | 39,973 |
<|im_start|>user
A colloid is a homogeneous mixture with medium-sized what?
Answer choice: (A) particles (B) atoms (C) solutions (D) molecules<|im_end|>
<|im_start|>assistant
<think>
</think>
A colloid is a homogeneous mixture with medium-sized particles. Examples include homogenized milk and gelatin. The particles o... | 9,464 |
<|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... | 47 |
<|im_start|>user
A certain club has 14 members, including Harry. One of the 14 members is to be chosen at random to be the president, one of the remaining 13 members is to be chosen at random to be the secretary, and one of the remaining 12 members is to be chosen at random to be the treasurer. What is the probability ... | 174 |
<|im_start|>user
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Answer Choices: (A) 4% (B) 4.04% (C) 4.23% (D) 4.56% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2... | 95,038 |
<|im_start|>user
If the cost of A metres of wire is C rupees, then what is the cost of E metres of wire at the same rate?
Answer Choices: (A) Rs. (EC/A) (B) Rs. (EC) (C) Rs. (C/A) (D) Rs. (E/A) (E) Rs. (AC/E) <|im_end|>
<|im_start|>assistant
<think>
</think>
cost of A metres of wire = Rs.C
cost of 1 metre of wire... | 82,531 |
<|im_start|>user
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.57. How much did the meal cost without the tip?
Answer Choices: (A) $31.80 (B) $29.91 (C) $30.15 (D) $30.60 (E) $30.85<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is a percent increase of 15%, w... | 10,474 |
<|im_start|>user
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Answer Choices: (A) 180/18 (B) 180/15 (C) 180/13 (D) 180/12 (E) 180/11<|im_end|>
<|im_start|>assistant
<think>
</think>
One day work of A and B... | 39,305 |
<|im_start|>user
Oils are liquid lipids that plants use to store what?
Answer choice: (A) fat (B) carbo (C) Protein (D) energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Oils are liquid lipids that plants use to store energy. Examples of oils include olive oil and corn oil.
The answer is D<|endoftext|> | 10,898 |
<|im_start|>user
A man can hit a target once in 5 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Answer Choices: (A) 71/234 (B) 81/133 (C) 81/343 (D) 34/83 (E) 91/324<|im_end|>
<|im_start|>assistant
<think>
</think>
The man will hit the target if he hits it once or twice or thric... | 81,608 |
<|im_start|>user
What are subatomic particles of the nucleus called?
Answer choice: (A) baryons (B) cores (C) isotopes (D) nucleons<|im_end|>
<|im_start|>assistant
<think>
</think>
Summary Subatomic particles of the nucleus (protons and neutrons) are called nucleons. Anuclide is an atom with a particular number of pr... | 4,495 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?
Answer Choices: (A) 25% loss (B) 16 2/8% loss (C) 16 3/3% loss (D) 36 2/3% loss (E) 56 2/3% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
15 CP = 20 SP
20 --- 5 CP loss
100 --- ? => 25% loss
The answer is A<|endofte... | 59,773 |
<|im_start|>user
Where in the atom is a neutron found?
Answer choice: (A) the nucleus (B) electron (C) proton (D) orbit<|im_end|>
<|im_start|>assistant
<think>
</think>
A neutron is one of three main particles that make up the atom. It is found in the nucleus and is neutral in electric charge. It has about the same m... | 433 |
<|im_start|>user
Look at this series: 201, 202, 204, 207, ... What number should come next?
Answer Choices: (A) 211 (B) 205 (C) 209 (D) 210 (E) 212<|im_end|>
<|im_start|>assistant
<think>
</think>
A
The answer is A<|endoftext|> | 3,599 |
<|im_start|>user
If |b| ≥ 1 and x= -| a| b, then which one of the following is necessarily true?
Answer Choices: (A) a -xb < 0 (B) a -xb ≥ 0 (C) a -xb > 0 (D) a -xb ≤ 0 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
x = –|a| b
Now a – xb = a – (– |a| b) b
= a + |a| b2
∴ a – xb = a + ... | 95,113 |
<|im_start|>user
A and B invest 3,000 and 4,000 in a business. A receives 10 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year ‘A’ totally receives 390, what does B receive?
Answer Choices: (A) 375 (B) 360 (C) 350 (D) ... | 7,380 |
<|im_start|>user
Which term of the AP: 121, 117, 113, ...... is its first negative term?
Answer Choices: (A) -1 (B) -2 (C) -3 (D) -5 (E) -7<|im_end|>
<|im_start|>assistant
<think>
</think>
121,117,113,......5,1,-3
The answer is C<|endoftext|> | 31,929 |
<|im_start|>user
Eight litres are drawn off from a vessel full of water and substituted by pure milk. Again eight litres of the mixture are drawn off and substituted by pure milk. If the vessel now contains water and milk in the ratio 9:40, find the capacity of the vessel.
Answer Choices: (A) 21 liters (B) 22 liters (C... | 6,499 |
<|im_start|>user
Four people need to cross a dark river at night.
* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 m... | 5,598 |
<|im_start|>user
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?
Answer Choices: (A) 6A+7 (B) 5A+1. (C) 5A-1. (D) 6A-5. (E) 6A-7.<|im_end|>
<|im_start|>assistant
<think>
</think>
A= C+2
=> C = A-2
A= B+1
=> B = A-1
Since the answer options contain variable A , w... | 65,742 |
<|im_start|>user
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 30, and the difference between the total nu... | 2,956 |
<|im_start|>user
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
Answer Choices: (A) 48 (B) 55 (C) 58 (D) 62 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 38,068 |
<|im_start|>user
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 7: 30 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle b... | 65,986 |
<|im_start|>user
What term refers to the conditions of the atmosphere from day to day?
Answer choice: (A) weather (B) climate (C) temperture (D) humidity<|im_end|>
<|im_start|>assistant
<think>
</think>
Climate is the average weather in an area over a long period of time. Weather refers to the conditions of the atmos... | 3,487 |
<|im_start|>user
Which measure shows how individuals in a population are distributed, or spread throughout their area?
Answer choice: (A) geographical distribution (B) population phase (C) proportional distribution (D) population distribution<|im_end|>
<|im_start|>assistant
<think>
</think>
Population density is an a... | 6,999 |
<|im_start|>user
Microevolution occuring and taking place over many generations results in?
Answer choice: (A) fission (B) microinjection (C) recalibration (D) macroevolution<|im_end|>
<|im_start|>assistant
<think>
</think>
Macroevolution occurs over geologic time above the level of the species. The fossil record ref... | 1,443 |
<|im_start|>user
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an even number
II. P is a multiple of 17
III. P is a multiple of 60
Answer Choices: (A) I only (B) II only (C) I & III only (D) None of the above (E) All of the above<|im_end|>
<|im_start|>assist... | 21,661 |
<|im_start|>user
In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is 5x-2y?
Answer Choices: (A) 19 (B) 16 (C) 17 (D) 18 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
lets start from z, as per the question stem
z + 5 + 7 = 16
-->> z= 4... | 59,809 |
<|im_start|>user
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Answer Choices: (A) 4years (B) 8years (C) 10years (D) 12years (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the ages of children be x, (x + 3),... | 886 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 2 units?
Answer Choices: (A) 140 sq.units (B) 158 sq.units (C)... | 76,039 |
<|im_start|>user
A car covers a distance of 782 km in 8 hours. Find its speed?
Answer Choices: (A) 104 kmph (B) 89 kmph (C) 288 kmph (D) 97 kmph (E) 87 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
782/8
= 97 kmph
The answer is D<|endoftext|> | 57,093 |
<|im_start|>user
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?
Answer Choices: (A) 10 (B) 12 (C) 14 (D... | 38,338 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 1,631 |
<|im_start|>user
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Answer Choices: (A) 343 (B) 147 (C) 189 (D) 063 (E) 027<|im_end|>
<|im_start|>assistant
<think>
</think>
•P(Buy) = 3/10,... | 46,422 |
<|im_start|>user
If 5 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
Answer Choices: (A) 20 (B) 30 (C) 36 (D) 40 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the Capacity o... | 90,748 |
<|im_start|>user
Patrick and Eric are on the two opposite banks of a river. They both have a rowing boat.
They both start at the same time towards the opposite bank. They pass each other at 180 meters from the bank where Patrick departed. When reaching the opposite bank, they both take a rest for the same amount of tim... | 31,638 |
<|im_start|>user
If A is thrice as fast as B and together can do a work in 21 days. In how many days A alone can do the work?
Answer Choices: (A) 36 (B) 42 (C) 28 (D) 54 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
A’s one day’s work= 1/X
B’s one day’s work= 1/3x
A + B’s one day’s work= 1/x + 1/3x = 1/21
=... | 45,877 |
<|im_start|>user
If a light flashes every 6 seconds, how many times will it flash in 1/2 of an hour?
Answer Choices: (A) 301 times (B) 351 times (C) 401 times (D) 451 times (E) 481 times<|im_end|>
<|im_start|>assistant
<think>
</think>
In 1/2 of an hour there are 30*60 = 1800 seconds
The number of 6-second intervals ... | 44,993 |
<|im_start|>user
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = h is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-h, -k), then what are the coordinates of the point P?
Answer Choices: (A) (-5h, -5k) (B) (-3h, -3k) (C)... | 49,263 |
<|im_start|>user
Bubbles in bread dough are created by what gas produced during alcoholic fermentation?
Answer choice: (A) acid dioxide (B) combustion dioxide (C) carbon dioxide (D) yeast dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
In alcoholic fermentation, glycolysis is followed by a step that produces... | 10,204 |
<|im_start|>user
Tim and Élan are 60 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Answer Choices: (A) 30 miles. (B) 35 ... | 94,531 |
<|im_start|>user
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Answer Choices: (A) 228 (B) 217 (C) 100 (D) 288 (E) 772<|im_end|>
<|im_start|>assistant
<think>
</think... | 72,499 |
<|im_start|>user
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms R in the sequence are smaller than the average
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the sequence have N terms starting 18*K
-->... | 34,723 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 6,344 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
According to Newton's third law, for every force, there is an equal and opposite force. This means that if one object is applying a force on a second object, the second object must also be applying a force on the first objec... | 4,823 |
<|im_start|>user
When toys are grouped into 12 and 18, always 3 toys remain ungrouped. What is the minimum number of toys to be added so that when they are grouped into 7, no toys will remain ungrouped ?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
T= 12a+3 = 18b + 3
... | 40,449 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Answer Choices: (A) 228 (B) 276 (C) 199 (D) 150 (E) 882<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + ... | 42,602 |
<|im_start|>user
The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Answer Choices: (A) 44.0 (B) 23.59 (C) 23.55 (D) 23.53 (E) 23.57<|im_end|>
<|im_start|>assistant
<think>
</thi... | 83,995 |
<|im_start|>user
In a business school case competition, the top three teams receive cash prizes of $1000, $ 2000, and $ 3000. while remaining teams are not ranked and do not receive any prizes, there are 6 participating teams, named A, B, C, D, E, F. If team A wins one of the prizes, team B wins also one of the prizes.... | 15,934 |
<|im_start|>user
7.515/10.02 =
Answer Choices: (A) 0.35 (B) 0.3505 (C) 0.3509 (D) 0.351 (E) 0.75<|im_end|>
<|im_start|>assistant
<think>
</think>
7.515 / 10.02
7.515 / 1002 = 7.5
move the comma two places to the left as we have 2 decimal places from the divisor: 0.75.
The answer is E<|endoftext|> | 47,318 |
<|im_start|>user
Express a speed of 84 kmph in meters per second?
Answer Choices: (A) 13.33 mps (B) 23.33 mps (C) 33.33 mps (D) 25.33 mps (E) 43.33 mps<|im_end|>
<|im_start|>assistant
<think>
</think>
84 * 5/18 = 23.33 mps
The answer is B<|endoftext|> | 10,667 |
<|im_start|>user
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Answer Choices: (A) 60 mph (B) 56.67 mph (C) 53.33 mph (D) 64 mph (E) 66.67 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
... | 16,302 |
<|im_start|>user
75% of a number when added to 75 is equal to the number. The number is ?
Answer Choices: (A) 150 (B) 200 (C) 225 (D) 300 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
75 + 75% of N = N
⇒ N -3N/4 = 75
⇒ N/4 = 75
∴ N = (75 x 4) = 300
Correct Option: D
The answer is D<|endoftext|> | 16,824 |
<|im_start|>user
In a dairy farm, 20 cows eat 20 bags of husk in 20 days. In how many days one cow will eat one bag of husk?
Answer Choices: (A) 1 (B) 40 (C) 20 (D) 26 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
One bag of husk = 20 cows per day
⇒ 20 × 1 × 20 = 1 × 20 × x
For one cow = 20 da... | 82,090 |
<|im_start|>user
The Average of 11 results is 16, if the average of the 1st 6 results is 58 & that of the last 63. Find the 6th result.
Answer Choices: (A) 60 (B) 59 (C) 62 (D) 66 (E) 58<|im_end|>
<|im_start|>assistant
<think>
</think>
6th result = (58*6+63*6-60*11)=66
The answer is D<|endoftext|> | 35,599 |
<|im_start|>user
How many different 3 letter combinations can be created from the letters X,Y and Z?
Answer Choices: (A) 27 (B) 3 (C) 9 (D) 81 (E) 243<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a case of number of arrangements possible with repetition.
Thus you have 3 options each for the 1st,2nd and 3r... | 77,603 |
<|im_start|>user
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Answer Choices: (A) 45% (B) 49% (C) 57% (D) 59% (E) 61%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (1136 + 76... | 25,184 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 2,097 |
<|im_start|>user
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Answer Choices: (A) 26 (B) 16... | 16,000 |
<|im_start|>user
Find the highest common factor of 36 and 84.
Answer Choices: (A) 4 years (B) 6 (C) 7 (D) 8 (E) 12<|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 E<|endoftext|> | 48,775 |
<|im_start|>user
From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Answer Choices: (A) 1/13 (B) 3/13 (C) 13/13 (D) 8/13 (E) 6/13<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Solution
Let S be the sample space. Then,
n(S) = 5... | 48,942 |
<|im_start|>user
Which of the following points is symmetric with y=x at (-2,-3)?
Answer Choices: (A) (-3,-2) (B) (-2,1) (C) (2,1) (D) (-1,-2) (E) (-1,2) <|im_end|>
<|im_start|>assistant
<think>
</think>
We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Rever... | 59,110 |
<|im_start|>user
Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?
Answer Choices: (A) 7 times (B) 8 times (C) 9 times (D) 11 times (E) 12 times<|im_end|>
<|im_start|>assistant
<think>
... | 16,633 |
<|im_start|>user
If the LCM of A and B is 72 and their HCF is 6, what is the product of A & B?
Answer Choices: (A) 432 (B) 433 (C) 434 (D) 435 (E) 436<|im_end|>
<|im_start|>assistant
<think>
</think>
The most important property of LCM (the least common multiple) and GCD (the greatest common divisors) is: for any posi... | 15,868 |
<|im_start|>user
7^8 is equal to which of the following?
Answer Choices: (A) 5,764,787 (B) 5,764,788 (C) 5,764,799 (D) 5,764,800 (E) 5,764,801<|im_end|>
<|im_start|>assistant
<think>
</think>
Units digit spotting can be fun
Cyclicity of 7 to the power of anything
7^1= 7
7^2= 9
7^3= 3
7^4= 1
7^5= 7
--- pattern formed ... | 6,847 |
<|im_start|>user
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is sele... | 84,245 |
<|im_start|>user
List the three major types of blood vessels.
Answer choice: (A) vessels, tubes, veins (B) veins, capillaries, vessels (C) vessels, arteries, capillaries (D) arteries,capillaries, veins<|im_end|>
<|im_start|>assistant
<think>
</think>
List and describe the three major types of blood vessels.
The answe... | 10,557 |
<|im_start|>user
What is the difference between the place value of 3 in the numeral 7339?
Answer Choices: (A) 170 (B) 160 (C) 180 (D) 190 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
300 - 30 = 170
A
The answer is A<|endoftext|> | 71,437 |
<|im_start|>user
Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his?
Answer Choices: (A) 24/64 (B) 32/64 (C) 36/64 (D) 40/64 (E) 42/64<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 34,865 |
<|im_start|>user
A vessel of capacity 60 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Answer Choices: (A) 23.89 (B) 72.... | 85,306 |
<|im_start|>user
A sum of money placed at CI doubles itself in 5 years. It will amount to 8 times in?
Answer Choices: (A) 17 years (B) 19 years (C) 14 years (D) 16 years (E) 15 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2------>5 years
4------>10years
8------>15 years
15 years
The answer is E... | 66,362 |
<|im_start|>user
Ovulation is the release of an egg from the what?
Answer choice: (A) ovary (B) fallopian tubes (C) cervix (D) vagina<|im_end|>
<|im_start|>assistant
<think>
</think>
Ovulation, the release of an egg from the ovary, occurs at about the midpoint of the cycle. This would be around day 14 of a 28 day cyc... | 690 |
<|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... | 4,595 |
<|im_start|>user
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Answer Choices: (A) 11 (B) 16 (C) 12 (D) 18 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-... | 49,787 |
<|im_start|>user
A sock drawer contains two socks, each one a different solid color. The colors of the socks are Indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made?
Answer Choices: (A) 24 (B) 240 (C) 1,024 (D) 2,520 (E) 2<|im_end|>
<|im_start|>assistant
... | 8,064 |
<|im_start|>user
How much is 50% of 40 is greater than 4/5 of 25?
Answer Choices: (A) 0 (B) 67 (C) 88 (D) 12 (E) 66<|im_end|>
<|im_start|>assistant
<think>
</think>
(50/100) * 40 – (4/5) * 25
= 0
The answer is A<|endoftext|> | 42,338 |
<|im_start|>user
In a race of 300 m A beats B by 15 m and C by 9 m. In a race of 450 m C will beat B by
Answer Choices: (A) 381 m (B) 429 m (C) 441 m (D) 439 m (E) 449 m<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B=300:285 (Bcoz A beats b by 15 m)
B:C=300:291 (Bcoz A beats C by 9 m)
C:B=291:285 (It means C be... | 34,287 |
<|im_start|>user
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5
Answer Choices: (A) 136 (B) 148 (C) 150 (D) 158 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
The answer is D<|endoftext|> | 29,300 |
<|im_start|>user
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of three rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after ___ minutes?
Answer Choices: (A) 11 min (B) 12 min (C) 10 min (D) 15 m... | 96,048 |
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