text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Using all the letters of the word "NOKA", how many words can be formed, which begin with N and end with A?
Answer Choices: (A) 8 (B) 2 (C) 9 (D) 3 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
There are five letters in the given word.
Consider 4 blanks ....
The first blank and last blank mus... | 44,701 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) 40 (B) 60 (C) 70 (D) 80 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A
800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
The answer is A<|endoftext|> | 94,084 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A sentence fragment is a group of words that does not express a complete thought. It is usually ... | 4,478 |
<|im_start|>user
In a class, 5 people like baseball and football, 2 people only like baseball, 3 people only like football, and 6 people like neither. How many people are in the class?
Answer Choices: (A) 10 (B) 14 (C) 16 (D) 20 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
16.
To get
The answer is C<|endof... | 95,296 |
<|im_start|>user
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Answer Choices: (A) 80% (B) 105% (C) 120% (D) 96% (E) 138%<|im_end|>
<|im_start|>a... | 34,159 |
<|im_start|>user
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Answer Choices: (A) 10 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Speed of the motor boat = 15 ... | 53,736 |
<|im_start|>user
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/6 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
Answer Choices: (A) 0 (B) 1/12 (C) 2/... | 47,605 |
<|im_start|>user
if p/q=3/4
then3p+6q=?
Answer Choices: (A) 25/4 (B) 25/2 (C) 20/4 (D) 33/4 (E) 25/3<|im_end|>
<|im_start|>assistant
<think>
</think>
3p+6q=?
Divided by q,
3(p/q)+6=x
3*(3/4)+6=33/4
The answer is D<|endoftext|> | 34,005 |
<|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... | 4,410 |
<|im_start|>user
The periodic table is an arrangement of the elements in order of increasing what?
Answer choice: (A) gravity numbers (B) metallic numbers (C) atomic numbers (D) negative numbers<|im_end|>
<|im_start|>assistant
<think>
</think>
Summary The periodic table is an arrangement of the elements in order of i... | 3,536 |
<|im_start|>user
Rajan is sixth from the left end and vinay is tenth from the right end in a row of boys. If there are eight boys between Rajan and Vinay, how many boys are there in the row ?
Answer Choices: (A) 24 (B) 66 (C) 88 (D) 27 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of boy... | 19,210 |
<|im_start|>user
What are the major sites of gibberellin production?
Answer choice: (A) flower and fruit (B) soil and leaves (C) young roots and leaves (D) stem and roots<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 1,231 |
<|im_start|>user
The strength of what depends on the concentration of hydrogen ions it produces when dissolved in water?
Answer choice: (A) the solution (B) electricity (C) the base (D) acid<|im_end|>
<|im_start|>assistant
<think>
</think>
The strength of an acid depends on the concentration of hydrogen ions it produ... | 2,288 |
<|im_start|>user
The true discount on Rs.2562 due 4 months hence is Rs.122.The rate % is?
Answer Choices: (A) 12% (B) 13 (1/3) % (C) 15% (D) 14% (E) 13%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P.W = Rs.( 2562 - 122) = Rs.2440
S.I on Rs.2440 for 4 months is Rs.122
Rate = [100X 122/2440X1/3 ] % = ... | 40,476 |
<|im_start|>user
5^2*2^2*5*2^4 =
Answer Choices: (A) 3^5*2^5 (B) 2^9*3^4 (C) 2^4*3^9 (D) 5^8 (E) 6^10<|im_end|>
<|im_start|>assistant
<think>
</think>
5^2*2^2*5*2^4 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 5^8
E) 2^6*5^3
If the base is same, powers are added so that follows A) 3^5*2^5.
Hence
The answer is E<|endoftext|> | 31,025 |
<|im_start|>user
If chemistry book page and math book page ratio is 6:5.A child tore 25 page from chemistry book and 15 page from Math book.Now,ratio becomes 1:1.so,tell the initial no. of pages of chemistry.
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemistry... | 22,244 |
<|im_start|>user
Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture?
Answer Choices: (A) 1:10 (B) 1:5 (C) 2:7 (D) 3:8 (E) 5:7<|im_end|>
<|i... | 24,574 |
<|im_start|>user
At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of mathematics majors to the number of history majors?
Answer Choices: (A) 6 to 1 (B) 3 to 5 (C) 2 to 3 (D) 3 to 2 (E) 1 to 6<|im_end... | 73,474 |
<|im_start|>user
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Answer Choices: (A) 9:1 (B) 8:1 (C) 9... | 89,144 |
<|im_start|>user
The average of 9 observations was 8, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Answer Choices: (A) 18 (B) 12 (C) 15 (D) 17 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 to 9 = 8 * 9 = 72
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 4... | 4,747 |
<|im_start|>user
A completes a work in 12 days and B complete the same work in 36 days. If both of them work together, then the number of days required to complete the work will be?
Answer Choices: (A) 9 days (B) 11 days (C) 21 days (D) 22 days (E) 24 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If A can com... | 39,342 |
<|im_start|>user
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1340 in t... | 48,371 |
<|im_start|>user
Jonah drove the first half of a 200-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip?
Answer Choices: (A) 100/(x + y) (B) 200/(x + y) (C) 25/x + 25/y (D) 50/x + 50/y (E) 100/x + 100/y<|im_end|>
<|im_s... | 39,528 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 3 seconds. What is the length of the train?
Answer Choices: (A) 20 metres (B) 50 metres (C) 32 metres (D) 70 metres (E) 80 metres<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed= 60 x 5/18 m/sec = 50/3 m/sec.
Length of the train = (Spe... | 8,325 |
<|im_start|>user
If the average (arithmetic mean) of a and b is 50 and the average of b and c is 70, what is the value of c − a?
Answer Choices: (A) 40 (B) 50 (C) 90 (D) 140 (E) It cannot be determined from the information given.<|im_end|>
<|im_start|>assistant
<think>
</think>
-(a + b = 100)
b + c=140
c-a=40
A.40
Th... | 44,994 |
<|im_start|>user
In a particular 100 meter race, 5 athletes are participating that are numbered 1-5. In how many ways can athlete #5 finish ahead of #2 provided there's no tie among the athletes?
Answer Choices: (A) 60 (B) 100 (C) 120 (D) 180 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number o... | 70,734 |
<|im_start|>user
If y is the smallest positive integer such that 1260 multiplied by y is the square of an integer, then y must be
Answer Choices: (A) 25 (B) 35 (C) 60 (D) 75 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
1260 = 2^2*3^2*5*7
To be perfect square, we need to multiply by at least 5*7 = 35.
The ... | 91,844 |
<|im_start|>user
A boy has 11 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Answer Choices: (A) 120ways (B) 138ways (C) 140ways (D) 132ways (E) 150ways<|im_end|>
<|im_start|>assistant
<think>
</think>
The boy can select one trouser in 11 ways.
The boy can select one shirt in ... | 40,178 |
<|im_start|>user
What fuels provide most of the energy used worldwide?
Answer choice: (A) hydroelectric (B) fossil (C) solar (D) renewable<|im_end|>
<|im_start|>assistant
<think>
</think>
Fossil fuels provide most of the energy used worldwide. Richer nations use far more energy resources, especially fossil fuels, tha... | 7,066 |
<|im_start|>user
If a, b are integers and |a-b|=6, which of the following is the smallest possible value of ab?
Answer Choices: (A) -16 (B) 0 (C) 16 (D) -9 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
a=3, b=-3. Hence,
The answer is D<|endoftext|> | 56,509 |
<|im_start|>user
A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Answer Choices: (A) 15 litres (B) 14 litres (C) 30 litres (D) 22 litres (E) 8 litres<|im_end|>
<|im_start|>assistant
<think>
... | 25,516 |
<|im_start|>user
If W is a positive integer, and W/15 = 8.2, what is the remainder when W is divided by 15?
Answer Choices: (A) A.1 (B) B.2 (C) C.3 (D) D.4 (E) E.8<|im_end|>
<|im_start|>assistant
<think>
</think>
If W were a multiple of 15, the quotient W/15 would be an integer. The fact that it's a decimal tells us ... | 6,373 |
<|im_start|>user
There are 4 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Answer Choices: (A) A) 10 (B) B) 12 (C) C) 24 (D) D) 50 (E) E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Using anagram method:
6_5_4_3_2_1
R_R_R_R_B... | 36,391 |
<|im_start|>user
Find the area of trapezium whose parallel sides are 12 cm and 16 cm long, and the distance between them is 14 cm?
Answer Choices: (A) 288 cm2 (B) 277 cm2 (C) 285 cm2 (D) 196 cm2 (E) 287 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendic... | 75,700 |
<|im_start|>user
M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 3. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Answer Choices: (A) {3, 4, 5,... | 11,824 |
<|im_start|>user
7M-20=2M,THEN M+7 IS EQUAL TO?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
7m-20=2m
so, 5m=20
so, m+7=11
The answer is C<|endoftext|> | 45,008 |
<|im_start|>user
In the first week of last month, Company X realized an average wholesale profit of $2856 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Answer Choices: (A) $3 (B) $4 (C) $7 (D) $13 (E) $51<|im_end|>
<|im_s... | 76,455 |
<|im_start|>user
If x is equal to the sum of the integers from 40 to 50, inclusive, and y is the number of EVEN integers from 40 to 50, inclusive, what is the value of x+y ?
Answer Choices: (A) 171 (B) 281 (C) 391 (D) 501 (E) 613<|im_end|>
<|im_start|>assistant
<think>
</think>
sum s= n/2{2a+(n-1)d} = 11/2{2*40+ (11-... | 26,119 |
<|im_start|>user
What broad group of animals - which includes rats, dogs and camels - have highly developed brains and often perform work for humans?
Answer choice: (A) arachnids (B) reptiles (C) amphibians (D) mammals<|im_end|>
<|im_start|>assistant
<think>
</think>
We see examples of mammals (other than people!) se... | 7,530 |
<|im_start|>user
Population of a city in 20004 was 1100000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Answer Choices: (A) 354354 (B) 545454 (C) 465785 (D) 456573 (E) 2384525/2<|im_e... | 57,718 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An environment includes all of the biotic, or living, and abiotic, or nonliving, things in an area. An ecosystem is created by the relationships that form among the biotic and abiotic parts of an environment.
There are many ... | 1,526 |
<|im_start|>user
The cost of an item was reduced from its usual selling price of $23.99 to $19.99. Which of the following is closest to the percent decrease in the price of the item?
Answer Choices: (A) 17% (B) 21% (C) 24% (D) 25% (E) 42%<|im_end|>
<|im_start|>assistant
<think>
</think>
The price decreased by 23.99 -... | 8,133 |
<|im_start|>user
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Answer Choices: (A) 6:8 (B) 6:4 (C) 6:2 (D) 6:5 (E) 6:2<|im_end|>
<|im_start|>assistant
<think>
</think>
5M + 12B ----- 4 days
7M + 6B ------- 5 days
20M + 48B... | 67,357 |
<|im_start|>user
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 60 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy... | 13,933 |
<|im_start|>user
Arithmetic mean and standard deviation of a certain normal distribution are 13 and 1.5. What value is exactly 2 standard deviations less than the mean?
Answer Choices: (A) 10.5 (B) 10 (C) 11.5 (D) 12 (E) 12.5<|im_end|>
<|im_start|>assistant
<think>
</think>
The value which is exactly two SD belo... | 53,130 |
<|im_start|>user
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
Answer Choices: (A) 58300 (B) 60800 (C) 55600 (D) 50400 (E) 45200<|im_end|>
<|im_start|>assistant
<think>
</think>
In the word 'CORPORATION', we treat the two vowels OOAIO as one... | 5,910 |
<|im_start|>user
The average (arithmetic mean) of four distinct positive integers is 5. If the average of the smaller two of these four integers is 6, which of the following represents the maximum possible value of the largest integer?
Answer Choices: (A) 2 (B) 4 (C) 3 (D) 8 (E) 1<|im_end|>
<|im_start|>assistant
<think... | 17,925 |
<|im_start|>user
The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
Answer Choices: (A) 140 (B) 150 (C) 289 (D) 330 (E) 390<|im_end|>
<|im_start|>assistant
<think>
</think>
In revolution, distance that wheel covers = circumference of wheel Diameter of wheel... | 59,659 |
<|im_start|>user
Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
Answer Choices: (A) monday (B) thursday (C) sunday (D) tuesday (E) wendesday<|im_end|>
<|im_start|>assistant
<think>
</think>
Three days ago, yesterday was the day before Sunday, so three days ago was itself Sunday.
Th... | 33,391 |
<|im_start|>user
3^13 + 3^13 + 3^13 =
Answer Choices: (A) 3^11 (B) 3^13 (C) 3^14 (D) 9^15 (E) 9^30<|im_end|>
<|im_start|>assistant
<think>
</think>
Since we have 3^13 added together 3 times, we can factor out a 3 and we get 3(3^13) which is equal to 3^14.
The answer is C<|endoftext|> | 51,788 |
<|im_start|>user
What is the area inscribed by the lines y = 10, x = 1, y = 3x+1 on an xy-coordinate plane?
Answer Choices: (A) a) 1 (B) b) 2 (C) c) 3 (D) d) 6 (E) e) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
First, let's graph the lines y = 10 and x = 1
At this point, we need to find the points where ... | 50,638 |
<|im_start|>user
A ball is bought for Rs.400 and sold at a gain of 40% find its selling price?
Answer Choices: (A) A) Rs.560/- (B) B) Rs.490/- (C) C) Rs.500/- (D) D) Rs.520/- (E) E) Rs.540/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 400 (100 * 4 = 400)
140 % ------> 560 (140 * 4 = 560)
Selling pr... | 37,273 |
<|im_start|>user
A room is 7 meters 68 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Answer Choices: (A) 107 (B) 144 (C) 175 (D) 165 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us calcula... | 69,786 |
<|im_start|>user
A dealer sells his goods 10% less at cost price uses 850gm weight for 1kg his gain or loss percentage is
Answer Choices: (A) 21% Gain (B) 21% Loss (C) 17 11/17% Gain (D) 17 11/17% Loss (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Cost price ---> 850
Selling price --... | 75,549 |
<|im_start|>user
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
Answer ... | 56,715 |
<|im_start|>user
In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 25th in an arithmetic progression if the sum of the 11th and 15th terms of the sequence is 96?
Answer Choices: (A) 48 (B) 63 (C) 55 (D) ... | 5,368 |
<|im_start|>user
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 kmph (B) 67 kmph (C) 22 kmph (D) 88 kmph (E) 12 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the ... | 70,539 |
<|im_start|>user
Souju's age is 130% of what it was 10 years ago, but 81% of what it will be after 10 years. What is her present age?
Answer Choices: (A) 63 years (B) 54 years (C) 56 years (D) 36 years (E) 43years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the age before 10 years =x. Then,
130x/100=x+10
⇒... | 62,035 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 1,628 |
<|im_start|>user
The average of 100,200,300 and x is 250 and the average of 300,150,100,x and y is 200. What is the value of y?
Answer Choices: (A) 100 (B) 150 (C) 50 (D) 200 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
We have : (100+200+300+x) /4 = 250
600+x = 1000
x = 400
(300+150+100+x+y)/5 = 200
550+... | 37,885 |
<|im_start|>user
P starts a business with Rs. 4,000. After 4 months, Q joins with P as his partner.
After a year, the profit is divided in the ratio 2 : 3. Q's contribution in the capital is ?
Answer Choices: (A) Rs. 7,000 (B) Rs. 11,000 (C) Rs. 8,000 (D) Rs. 10,000 (E) Rs. 9,000<|im_end|>
<|im_start|>assistant
<think>... | 37,696 |
<|im_start|>user
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Answer Choice... | 17,174 |
<|im_start|>user
The perimeters of two squares are 80 cm and 64 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) 42cm (B) 44cm (C) 46cm (D) 48cm (E) 49cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Side of first squar... | 28,003 |
<|im_start|>user
How do you decrease errors in an experiment?
Answer choice: (A) write about it (B) ask God (C) take many measurements (D) decrease measurements<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientists make many measurements during experiments. Humans and equipment can make mistakes. Errors are oft... | 9,206 |
<|im_start|>user
What is the smallest of the galilean moons?
Answer choice: (A) phoebe (B) demos (C) aura (D) europa<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientists think that Europa is a good place to look for extraterrestrial life. Europa is the smallest of the Galilean moons. The moon's surface is a sm... | 10,450 |
<|im_start|>user
Two quarts containing 7⁄8 water and 1/8 formula are mixed with three quarts containing 7⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
Answer Choices: (A) 60% (B) 55% (C) 65% (D) 77% (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
7/8 of 2... | 44,961 |
<|im_start|>user
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs.
Answer Choices: (A) 40 (B) 60 (C) 120 (D) 90 (E) 100<|im_end|... | 36,784 |
<|im_start|>user
Chewing a bite of bread mixes it with what and facilitates its chemical breakdown?
Answer choice: (A) chyme (B) calcium (C) saliva (D) interstitial fluid<|im_end|>
<|im_start|>assistant
<think>
</think>
Exergonic c. Decomposition d. Catabolic, exergonic, and decomposition 18. Which of the following c... | 4,789 |
<|im_start|>user
If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?
A.
B.
C.
D.
E.
Answer Choices: (A) (−8,8) (B) (4,−4) (C) (5,−5) (D) (2,−2) (E) (−4,4) <|im_end|>
<|im_start|>assistant
<think>
</think>
Co-ordinates of Point B = (2, 2) (Same x co-ordinate as that of A and Y co... | 82,079 |
<|im_start|>user
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 61.5. When one student dropped the class, the average of the remaining scores increased to 64.0. What is the quiz score of the student who dropped the class?
Answer Choices: (A) a) 10 (B) b) 24 (C) c) 40 (... | 45,174 |
<|im_start|>user
Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460?
Answer Choices: (A) 797 (B) 798 (C) 799 (D) 796 (E) 795<|im_end|>
<|im_start|>assistant
<think>
</think>
5678 - 35 + (one of the answer option) should be divisible by 460. Only option C satisfies.
The ... | 64,238 |
<|im_start|>user
Find the area of a parallelogram with base 22 cm and height 21 cm?
Answer Choices: (A) 462 cm2 (B) 478 cm2 (C) 490 cm2 (D) 268 cm2 (E) 668 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram = base * height
= 22 * 21
= 462 cm2
The answer is A<|endoftext|> | 69,146 |
<|im_start|>user
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Answer Choices: (A) 278 (B) 276 (C) 20 (D) 288 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 15
S = 5
DS = 15 + 5 = 20
The answer is C<|endoftext|> | 59,179 |
<|im_start|>user
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $151 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<t... | 89,033 |
<|im_start|>user
The cost of 8 dozen pencil and 2 dozen note book is 520 rupee. If cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be (in rupee)
Answer Choices: (A) rs 13.51 (B) rs 15.51 (C) rs 16.51 (D) rs 14.51 (E) rs 17.51<|im_end|>
<|im_start|>assistant
<think>
<... | 49,645 |
<|im_start|>user
A trader marked the selling price of an article at 11% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Answer Choices: (A) 10 % (B) 10.5 % (C) 9.9% (D) 12.5 % (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
L... | 90,783 |
<|im_start|>user
On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.
Answer Choices: (A) 179 (B) 189 (C) 199 (D) 169 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisor = Dividend - Remainder / Quotient
= 15968-37 / 89
= 179.
The answer is A<|endo... | 4,845 |
<|im_start|>user
Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 30 square meters. What is the area that is covered with three layers of wallpaper?
Ans... | 31,349 |
<|im_start|>user
How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Answer Choices: (A) 20 (B) 40 (C) 120 (D) 60 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Vowe... | 37,988 |
<|im_start|>user
In the body, what essential substance is pumped from the heart into arteries and then eventually into capillaries?
Answer choice: (A) spinal fluid (B) water (C) blood (D) lymphatic Fluid<|im_end|>
<|im_start|>assistant
<think>
</think>
The solution to the last part of the example shows that speed is ... | 2,297 |
<|im_start|>user
In science, what is defined as the transfer of energy from a vibrating object in waves that travel through matter?
Answer choice: (A) energy (B) photons (C) sound (D) vibration<|im_end|>
<|im_start|>assistant
<think>
</think>
In science, sound is defined as the transfer of energy from a vibrating obj... | 1,474 |
<|im_start|>user
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $9.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of cor... | 69,495 |
<|im_start|>user
The farther an area is from the equator, what happens to the temperature?
Answer choice: (A) it fluctuates (B) it gets lower (C) it increases (D) it stabilizes<|im_end|>
<|im_start|>assistant
<think>
</think>
At higher latitudes, the Sun’s rays are less direct. The farther an area is from the Equator... | 5,473 |
<|im_start|>user
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.45 only. Men’s wages are?
Answer Choices: (A) 6Rs (B) 7Rs (C) 8Rs (D) 4Rs (E) 3Rs<|im_end|>
<|im_start|>assistant
<think>
</think>
5M = xW = 8B
5M + xW + 8B ----- 45 Rs.
5M + 5M + 5M ----- 45 Rs.
15M ------ 45 Rs. => 1M = ... | 93,707 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Answer Choices: (A) 33/96 (B) 33/91 (C) 33/78 (D) 33/92 (E) 33/21<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there are three bl... | 90,483 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the ip sound.
The words lake and make rhyme. They both end with the ake sound.
The words tip and lake don't rhyme. They e... | 4,986 |
<|im_start|>user
What is the median from the below series 92, 93, 88, 95, 88, 97, 87, and 98
Answer Choices: (A) 80 (B) 82 (C) 92.25 (D) 98 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Ordering the data from least to greatest, we get:
87, 88, 88,92, 93, 95, 96, 98
The median quiz score was 92.25 (Four qui... | 30,040 |
<|im_start|>user
If 6 (A's capital) = 8 (B's capital) = 8 (C's capital). Then the ratio of their capitals is?
Answer Choices: (A) 4:15:16 (B) 4:15:68 (C) 4:3:3 (D) 20:15:11 (E) 20:15:19<|im_end|>
<|im_start|>assistant
<think>
</think>
6A = 8B = 8 C
A:B:C = 1/6:1/8:1/8
= 4:3:3
The answer is C<|endoftext|> | 75,361 |
<|im_start|>user
A train running at a speed of 60 kmph crosses a pole in 15 seconds.What is the length of the train?
Answer Choices: (A) 120 m (B) 180 m (C) 190 m (D) 250 m (E) 160 m<|im_end|>
<|im_start|>assistant
<think>
</think>
60 kmph=50/3 m/sec
50/3*15=250 m
The answer is D<|endoftext|> | 13,889 |
<|im_start|>user
On the x y plane, there are 8 points of which 4 are collinear. How many straight lines can be formed by joining any 2 points from the 8 points ?
Answer Choices: (A) 28 (B) 22 (C) 20 (D) 23 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Each line is defined by two points.
4 points are colline... | 21,148 |
<|im_start|>user
The structure of a neuron allows it to rapidly transmit nerve impulses to other what?
Answer choice: (A) cells (B) muscles (C) limbs (D) proteins<|im_end|>
<|im_start|>assistant
<think>
</think>
The structure of a neuron allows it to rapidly transmit nerve impulses to other cells.
The answer is A<|en... | 4,142 |
<|im_start|>user
A car going at 10 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) 45 (B) 20 (... | 2,357 |
<|im_start|>user
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.05, 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... | 60,225 |
<|im_start|>user
Cathy's Catering business is catering a party. She is delivering food that is 1/6 sandwiches, 1/4 salads, 1/6 chips, 1/8 deserts, 1/8 snacks, and the rest drinks. If Cathy dropped the deserts on the way to the party and decides to stop and buy more snacks to make up for it, by doubling the snacks, what... | 89,489 |
<|im_start|>user
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Answer Choices: (A) 8/21 (B) 7/11 (C) 5/27 (D) 11/32 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 8+7+6 = 21
E = event tha... | 45,419 |
<|im_start|>user
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Answer Choices: (A) 9:36 (B) 9:31 (C) 9:39 (D) 9:34 (E) 9:32<|im_end|>
<|im_start|>assistant
<think>
</think>
1/4 : 3/4 = (1:... | 50,978 |
<|im_start|>user
Five friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discoun... | 54,035 |
<|im_start|>user
If d=1/(2^3*5^8) is expressed as a terminating decimal, how many nonzero digits will d have?
Answer Choices: (A) One (B) Two (C) Three (D) Seven (E) Ten<|im_end|>
<|im_start|>assistant
<think>
</think>
Another way to do it is :
We know x^a*y^a=(X*Y)^a
given = 1/(2^3*5^8)
= Multiply and divide by 2^5
... | 90,000 |
<|im_start|>user
One year ago the ratio between Samir and Ashok’s age was 4:3. One year hence the ratio of their ages will be 5 :4. What is the sum of their present ages in years?
Answer Choices: (A) 12 years (B) 15 years (C) 16 years (D) Cannot be determined (E) none of these<|im_end|>
<|im_start|>assistant
<think>
<... | 9,044 |
<|im_start|>user
A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is ... | 89,900 |
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