text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In a group of ducks and cows, the total number of legs are 34 more than twice the no. of heads. Find the total no.of buffaloes.
Answer Choices: (A) 11 (B) 12 (C) 14 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y ... | 41,622 |
<|im_start|>user
In a shower, 9 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Answer Choices: (A) 75 cu. m (B) 1350 cu. m (C) 7500 cu. m (D) 75000 cu. m (E) 7.50 cu. m<|im_end|>
<|im_start|>assistant
<think>
</think>
1 hectare = 10000 sq mtr
The volume of water that falls on 1.5 hecta... | 93,902 |
<|im_start|>user
Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of MAZE, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, w... | 30,843 |
<|im_start|>user
A wheel that has 6 cogs is meshed with a larger wheel of 21 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Answer Choices: (A) 49 (B) 4 (C) 12 (D) 6 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of rev... | 65,497 |
<|im_start|>user
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, ... | 73,760 |
<|im_start|>user
The total age of A and B is 20 years more than the total age of B and C. C is how many years younger than A.?
Answer Choices: (A) 20 (B) 12 (C) 15 (D) 16 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
(A+B)-(B-C)=20
A-C=20
The answer is A<|endoftext|> | 33,622 |
<|im_start|>user
A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?
Answer Choices: (A) $2000 (B) $2500 (C) $3000 (D) $3600 (E) $4200<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the shares of A, B, C and D be 6x, 2x, 4x and ... | 14,529 |
<|im_start|>user
Shekar scored 76, 65, 82, 67 and 95 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Answer Choices: (A) 65 (B) 77 (C) 75 (D) 85 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Average= (76+65+82+67+95)/5 = 385/5 =77
He... | 42,974 |
<|im_start|>user
John got Rs.6000 as his share out of a total profit of Rs.9000 which he and Rick earned at the end of one year. If John invested Rs.20,000 for 6 months, where as Rick invested his amount for the whole year, what was the amount invested by Rick?
Answer Choices: (A) 3400 (B) 3500 (C) 4500 (D) 5000 (E) 55... | 87,553 |
<|im_start|>user
If the cost price of 65 chocolates is equal to the selling price of 50 chocolates, the gain percent is :
Answer Choices: (A) 35% (B) 10% (C) 20% (D) 30% (E) 33%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: Let C.P. of each chocolate be Re. 1. then, C.P. of 50 chocolates = ... | 49,085 |
<|im_start|>user
Of the five-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Answer Choices: (A) 24440 (B) 36440 (C) 72440 (D) 181440 (E) 216440<|im_end|>
<|im_start|>assistant
<think>
</think>
Of th... | 33,717 |
<|im_start|>user
A bag contains 5 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Answer Choices: (A) 2/15 (B) 2/21 (C) 5/26 (D) 3/29 (E) 4/27<|im_end|>
<|im_start|>assistant
<think>
</think>
P(Both are red),
=5C215C2=5C215C2
=10/105=2/21
B
The answer is B<|en... | 16,083 |
<|im_start|>user
In comparing two solutions of unequal solute concentration, the solution with the higher solute concentration is called what?
Answer choice: (A) acetic (B) hypothermic (C) hydrophilic (D) hypertonic<|im_end|>
<|im_start|>assistant
<think>
</think>
Imagine now that you have a second cup with 100ml of ... | 7,529 |
<|im_start|>user
All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 84 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Answer Choices: (A) 24 (B) 27 (C) 3... | 10,132 |
<|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... | 4,214 |
<|im_start|>user
Carol spends 1/3 of her savings on a stereo and 1/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Answer Choices: (A) 1/4 (B) 2/7 (C) 5/9 (D) 1/2 (E) 7/12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total Savings = S
... | 45,642 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 5,356 |
<|im_start|>user
The price of a DVD Player is marked at $ 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Answer Choices: (A) $ 8721 (B) $ 6383 (C) $ 8739 (D) $ 8766 (E) $ 7739<|im_end|>
<|im_start|>assistant
<think>
</think>
A
$ 8721
Actual price = 95% of 90%... | 56,797 |
<|im_start|>user
10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Answer Choices: (A) 5000 (B) 6000 (C) 7000 (D) 8000 (E) None of these<|im_end|>
<|... | 88,971 |
<|im_start|>user
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is three times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation.... | 80,187 |
<|im_start|>user
Find the area of a parallelogram with base 32 cm and height 14 cm?
Answer Choices: (A) 498 cm2 (B) 384 cm2 (C) 430 cm2 (D) 128 cm2 (E) 448 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram
= base * height
= 32 * 14 = 448 cm2
The answer is E<|endoftext|> | 20,494 |
<|im_start|>user
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
Answer Choices: (A) 75 km/hr (B) 71 km/... | 24,371 |
<|im_start|>user
Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10 cm.
Answer Choices: (A) 140 cm2 (B) 185 cm2 (C) 185 cm2 (D) 185 cm2 (E) 195 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of a trapezium = 1/2 (sum of parallel sides)... | 6,195 |
<|im_start|>user
Water follows where sodium ions lead, due to what process?
Answer choice: (A) electrolysis (B) absorption (C) hydration (D) osmosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Blood Pressure Regulation Due to osmosis, water follows where Na+ leads. Much of the water the kidneys recover from the ... | 11,097 |
<|im_start|>user
How many zeroes are there at the end of the number N, if N = 90! + 180! ?
Answer Choices: (A) 15 (B) 18 (C) 21 (D) 24 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of zeroes at the end of 90! will be less than the number of zeroes at the end of 180!
Hence it is sufficient to calc... | 5,444 |
<|im_start|>user
Sixty percent of the rats included in an experiment were female rats. If some of the rats died during an experiment and 70 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
Answer Choices: (A) 7 : 2 (B) 7 : 3 ... | 61,350 |
<|im_start|>user
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 300 as interest at the end of the loan period, what was the rate of interest?
Answer Choices: (A) 5 (B) 6 (C) 18 (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 13,162 |
<|im_start|>user
If x/y is an integer, which of the following must also be not an integer?
I. xy
II. y/x
III. x
Answer Choices: (A) I alone (B) II alone (C) III alone (D) I, II and III (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's take X = 4/3 and Y = 2/3
Then X/Y = 2 which is an intege... | 44,544 |
<|im_start|>user
How many ways to draw 3 balls from 16 balls pool.(balls are numbered as 1 to 16 and are distinct)
Answer Choices: (A) 460 (B) 560 (C) 660 (D) 760 (E) 860<|im_end|>
<|im_start|>assistant
<think>
</think>
16C3=(16*15*14)/(3*2*1)=3360/6=560
The answer is B<|endoftext|> | 65,131 |
<|im_start|>user
The number of times 99 is subtracted from 1111 so that the remainder is less than 99 is
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let it be n times.
Then, (1111 - 99n) < 99.
By hit and trial, we find that n = 11.
The answer is B<|endoftex... | 41,549 |
<|im_start|>user
What is the conversion of metals from their ores to more useful forms called?
Answer choice: (A) thermodynamics (B) nanotechnology (C) crystallography (D) metallurgy<|im_end|>
<|im_start|>assistant
<think>
</think>
Summary The conversion of metals from their ores to more useful forms is calledmetallu... | 2,152 |
<|im_start|>user
Find the average of all prime numbers between 20 and 30
Answer Choices: (A) 15 (B) 20 (C) 18 (D) 32 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime numbers between 20 and 30 are 23,29
Required average = (23+29)/2 = 52/2 = 26
The answer is E<|endoftext|> | 29,281 |
<|im_start|>user
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
Answer Choices: (A) 1:4 (B) 1:16 (C) 1:8 (D) 1:64 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23 = 1 : 8
The answer is C<|endoftext|> | 76,306 |
<|im_start|>user
Jacob purchased a TV set for $ 12500 after getting a discount of 20% on the labelled price. He spent $ 125 on transport and $ 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Answer Choices: (A) 14900 (B) 12900 (C) 15400 (D) 17600 (... | 21,205 |
<|im_start|>user
A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points L that an individual player might have scored?
Answer Choices: (A) 7 (B) 13 (C) 16 (D) 21 (E) 23<|im_end|>
<|im_start|>... | 26,885 |
<|im_start|>user
Bradley owns b video game cartridges. If Bradley’s total is one-eighth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Answer Choices: (A) 33b / 4 (B) 35b / 4 (C) 37b / 4 (D) 39b / 4 (E) 41b / 4<|im_... | 94,310 |
<|im_start|>user
What is the outermost part of the sun's atmosphere called?
Answer choice: (A) rays (B) ultraviolet (C) corona (D) particles<|im_end|>
<|im_start|>assistant
<think>
</think>
The corona ( Figure below ) is the outermost part of the Sun's atmosphere. It is the Sun’s halo, or “crown. ” With a temperature... | 9,379 |
<|im_start|>user
A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 30%?
Answer Choices: (A) Rs. 28985 (B) Rs. 40985 (C) Rs. 20985 (D) Rs. ... | 25,651 |
<|im_start|>user
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Answer Choices: (A) 40 (B) 88 (C) 77 (D) 6 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec.
... | 558 |
<|im_start|>user
A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?
Answer Choices: (A) 60 (B) 56 (C) 64 (D) 74 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of one rupe... | 33,520 |
<|im_start|>user
What is occurring at an alarming rate as a result of global climate change and the constant melting point of ice?
Answer choice: (A) glacial movement (B) glacier melt (C) glacial hardening (D) glacial formation<|im_end|>
<|im_start|>assistant
<think>
</think>
Because of global climate change, tempera... | 4,790 |
<|im_start|>user
What will be the day of the week 15th August, 2010?
Answer Choices: (A) Sunday (B) Saturday (C) Monday (D) Thursday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Henc... | 2,530 |
<|im_start|>user
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 227 (B) 350 (C) 881 (D) 277 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meter... | 28,795 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 4,274 |
<|im_start|>user
The posterior pituitary releases which hormone, which stimulates uterine contractions during childbirth?
Answer choice: (A) estrogen (B) insulin (C) oxytocin (D) estradiol<|im_end|>
<|im_start|>assistant
<think>
</think>
In addition to producing FSH and LH, the anterior portion of the pituitary gland... | 9,854 |
<|im_start|>user
Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 30
Answer Choices: (A) 2 (B) 6 (C) 15 (D) 30 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
1(result) + (1*1) = 2.
2(result) + (2*2) = 6.
6(result) + (3*3) = 15.
15(result) + (4*4) = 31.
Now we are getting 31 not 30.. S... | 82,355 |
<|im_start|>user
If x/y = 5 and (4a - x)/(b - y) = 5, then the value of a/b is?
Answer Choices: (A) –3 (B) -2 (C) 1 (D) 5/4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 5y
4a - 5y = 5(b - y)
4a - 5y = 5b - 5y
4a = 5b
a/b = 5/4
The answer is D<|endoftext|> | 72,236 |
<|im_start|>user
If a lies in the range (-2,1) then which of the following statements must be true?
Answer Choices: (A) a^4 >a^3 > a^2 > a (B) a > a^2 > a^3 > a^4 (C) a^4 > a^2 > a^3 >a (D) a^2 > a^4 > a^3 >a (E) a^2 > a^4 > a > a^3<|im_end|>
<|im_start|>assistant
<think>
</think>
consider any number from the given r... | 26,796 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
The protean nature of the diseas... | 1,973 |
<|im_start|>user
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Answer Choices: (A) 380 km (B) 390 km (C) 400 km (D) 410 km (E) None of these<|im_end|>
<|im_start|>a... | 16,373 |
<|im_start|>user
If the 15th day of a month is three days earlier than Saturday, What day will it be on the 24th day of the month?
Answer Choices: (A) Saturday (B) Monday (C) Sunday (D) Wednesday (E) Friday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given that 15th day of a month is three days earl... | 83,438 |
<|im_start|>user
The current ofa stream runs at the rate of 2 km/hour. A motor boat goes 10 km upstream & back again to the starting point in 55 min. Find the speed of the motor boat in still water?
Answer Choices: (A) 20 km/hr (B) 22 km/hr (C) 28 km/hr (D) 30 km/hr (E) 34 km/hr<|im_end|>
<|im_start|>assistant
<think>
... | 44,470 |
<|im_start|>user
A circular path of 20 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Answer Choices: (A) Rs.49 (B) Rs.40 (C) Rs.44 (D) Rs.42 (E) Rs.66<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
π (22^2 - 20^2) = 22/7 *(484-400) = 264
264 * 1/4 =... | 38,071 |
<|im_start|>user
Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Answer Choices: (A) 21 (B) 20 (C) 19 (D) 16 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
greatest number of paired shoes means greatest number of lost pairs
9... | 97,156 |
<|im_start|>user
How many two-digit numbers are there whose remainder when divided by 13 is 1, and whose remainder when divided by 6 is 5?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
2 digit numbers whose remainder when divided by 10 is 1 are
11 , 21 , 31 , 41 , 51 ,... | 23,426 |
<|im_start|>user
In an engineering class that contained 75 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Answer Choices:... | 46,425 |
<|im_start|>user
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum W of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Answer Choices: (A) 6x (B) 4x (C) 5x/3 (D) 3x/2 (E) 3x/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Note that we have... | 29,543 |
<|im_start|>user
The average age of 21 students of a class is 21 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 21th student is
Answer Choices: (A) 164 (B) 152 (C) 100 (D) 182 (E) 195<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 31,959 |
<|im_start|>user
Find the value of (875 233/899) × 899
Answer Choices: (A) 786500 (B) 786528 (C) 786652 (D) 786700 (E) 786858<|im_end|>
<|im_start|>assistant
<think>
</think>
(875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
E
The answer is E<|endoftext|> | 22,388 |
<|im_start|>user
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in bot... | 1,834 |
<|im_start|>user
Find the least number which when divided by 5,6,7,8 leaves a remainder 3 but when divided by 9 leaves no remainder
Answer Choices: (A) 9632 (B) 7896 (C) 8741 (D) 1683 (E) 8523<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M Of 5,6,7,8=840
required number is of the form of 840K+3
least value of... | 54,250 |
<|im_start|>user
It takes 50 identical printing machines 8 hours to print 500,000 posters. How long would it take 40 of these machines to print the same total?
Answer Choices: (A) 10 hr (B) 12 hr (C) 12 hr 24 min (D) 12 hr, 40 min (E) 13 hr, 20 min<|im_end|>
<|im_start|>assistant
<think>
</think>
50 machines finish t... | 76,938 |
<|im_start|>user
Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Answer Choices: (A) 10x/y (B) 11x/y (C) 9x/y (D) 12x/y (E) 13x/y<|im_end|>
<|im_start|>assistant
<think>
</think>
velocity=distance/ti... | 96,871 |
<|im_start|>user
A merchant marks his goods up by 50% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
Answer Choices: (A) 20% (B) 25% (C) 69% (D) 31% (E) 19%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price be 100.
The price becomes 150 aft... | 46,681 |
<|im_start|>user
In how many different ways can the letters of the word DETAIL be arranged in such a way that the vowels occupy only the odd positions?
Answer Choices: (A) 120 (B) 60 (C) 48 (D) 32 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
3 vowels can be arranged in three odd places in 3! way... | 75,506 |
<|im_start|>user
12.1212+17.0005 - 9.1104 = ?
Answer Choices: (A) 20.0015 (B) 20.0105 (C) 20.0113 (D) 20.1015 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given expression
=(12.1212+17.0005)-9.1104
= (29.1217 - 9.1104)
=20.0113.
The answer is C<|endoftext|> | 94,684 |
<|im_start|>user
When x is multiplied by 3, the result is 10 more than the result of subtracting x from 26. What is the value of x?
Answer Choices: (A) -4 (B) 9 (C) 11 (D) 13 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
The equation that can be formed is:
3x-10=26-x
or, 4x=36
or, x=9.
B
The answer is B<|en... | 42,099 |
<|im_start|>user
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is
Answer Choices: (A) 277 (B) 668 (C) 119 (D) 177 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of words which can be formed
= 5! - 1 = 120 - 1 = 119.
The answer is C<|endoftext|> | 92,368 |
<|im_start|>user
If an object travels 300 feet in 5 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Answer Choices: (A) 39 (B) 38 (C) 40 (D) 41 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
1 mile = 5280 feet
=> 1 feet = 1/5280 miles
If the object travels 300 fe... | 77,485 |
<|im_start|>user
A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 20 seconds. The speed of the train is?
Answer Choices: (A) 36 (B) 50 (C) 88 (D) 66 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative to man
= (200/20) m/sec = 5 ... | 80,138 |
<|im_start|>user
The value of (.02)2 + (0.52)2 + (0.035)2/ (0.002)2 + (0.052)2 + (0.0035)2
Answer Choices: (A) 100 (B) 1000 (C) .001 (D) .0001 (E) .01<|im_end|>
<|im_start|>assistant
<think>
</think>
(.02)2 + (0.52)2 + (0.035)2 / (0.002)2 + (0.052)2 + (0.0035)2
= a2+b2+c2 / ( a /10) 2+ ( b/10) 2 + ( c/10) 2
where a= ... | 31,259 |
<|im_start|>user
How many of the positive factors of 25 , 15 and how many common factors are there in numbers?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
factors of 25 - 1, 5, and 25
factors of 15 - 1 , 3, 5 and 15
Comparing both, we have three common factors of 45,... | 69,457 |
<|im_start|>user
In how many ways can 5 men & 4 women can be made from a gang of 6 men & 6 women ?
Answer Choices: (A) 10 (B) 21 (C) 24 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
6C5* 6C4 = 21
B
The answer is B<|endoftext|> | 28,254 |
<|im_start|>user
In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?
Answer Choices: (A) 9/10 (B) 16/20 (C) 2/5 (D) 3/5 (E) ½<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one Snicker's Bar... | 66,694 |
<|im_start|>user
Bob bikes to school every day at a steady rate of c miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from t... | 90,498 |
<|im_start|>user
Enzymes, proteins, electron carriers, and pumps that play roles in glycolysis, the citric acid cycle, and the electron transport chain tend to catalyze reactions that are what?
Answer choice: (A) non-reversible (B) continuous (C) reversible (D) changeable<|im_end|>
<|im_start|>assistant
<think>
</thin... | 10,755 |
<|im_start|>user
Zinc is what kind of metal.?
Answer choice: (A) active transition metal (B) active flow metal (C) active move metal (D) passive stagnant metal<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 18.7 Zinc is an active transition metal. It dissolves in hydrochloric acid, forming a solution of colo... | 7,101 |
<|im_start|>user
If -1 < x < 1, which of the following must be true?
I. x^3 < x^2
II. x^5 < 1 – x
III. x^4 < x^2
Answer Choices: (A) I only (B) I and II only (C) II and III only (D) I and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I. x^3 < x^2 --> from -1 < x < 1 x must be a decimal s... | 1,056 |
<|im_start|>user
United Telephone charges a base rate of $8.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
Answer Cho... | 29,354 |
<|im_start|>user
Solution A is 20% ammonia and Solution B is 80% ammonia. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% ammonia solution?
Answer Choices: (A) 6:4 (B) 6:14 (C) 4:4 (D) 4:6 (E) 3:7<|im_end|>
<|im_start|... | 25,956 |
<|im_start|>user
How many ways are there to select a subcommittee of 9 members from among a committee of 17?
Answer Choices: (A) 22888 (B) 24310 (C) 28791 (D) 27711 (E) 12111<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Since it does not matter what order the committee members are chosen in, the comb... | 18,788 |
<|im_start|>user
Which of the following fractions is greater than 1/3?
Answer Choices: (A) 1. 12/50 (B) 2. 3/11 (C) 3. 2/9 (D) 4. 4/17 (E) 5. 6/24<|im_end|>
<|im_start|>assistant
<think>
</think>
1. 12/50
12.5/50 = 1/4 thus 12/50 < 1/4
2. 3/11
3/12 = 1/4 thus 3/11 > 1/4
3. 2/9
2/8 = 1/4 thus 2/9 < 1/4
4. 4/17
4/16 = ... | 16,567 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 5,012 |
<|im_start|>user
If 100% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 125% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?
Answer Choices: (A) 0.35 (B) 3.5 (C) 350 (D) 35 (E) 3500<|im_end|>
<|im_start|>assistant
<think>
</think>
IMO answer should be 350...
consider j... | 17,076 |
<|im_start|>user
Which of the following equations has real roots ?
Answer Choices: (A) 3x2 + 4x + 5 = 0 (B) x2 + x + 4 = 0 (C) (x - 1) (2x - 5) = 0 (D) 2x2 - 3x + 4 = 0 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.(c) Roots of a quadratic equation
ax2 + bx + c = 0 are real if b2 - 4ac ≥ 0
L... | 46,637 |
<|im_start|>user
Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Answer Choices: (A) 7.19 (B) 7.59 (C) 7.16 (D) 7.15 (E) 7.12... | 79,215 |
<|im_start|>user
In Town X, 90 percent of the population are employed, and 20 percent of the population are employed males. What percent of the employed people in Town X are females?
Answer Choices: (A) 16% (B) 66% (C) 77% (D) 88% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total employed people 90%, out... | 34,203 |
<|im_start|>user
in a triangle sides of triangle are ac=ln(n),
ab=ln(8),bc=ln(50).
what is the possible value of n?
Answer Choices: (A) 394 (B) 395 (C) 385 (D) 398 (E) 399<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of 2sides of the triangle should be greater than the third side
therefore,ln(50)+ln(8)>ln(n)
... | 21,445 |
<|im_start|>user
Rani worked in the Private company. At the time of Interview officer told her to give Salary Rs. 15000/- per month & Also 2-3 % to be increased in every month. she have taken 2-3 leaves. After one month she got Rs. 13950/- then How much amount increased to her? What is the percentage value?
Answer Choi... | 50,682 |
<|im_start|>user
A merchant sells an item at a 20% discount, but still makes a gross profit of 30 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
Answer Choices: (A) 20% (B) 40% (C) 50% (D) 62.5% (E) 75%<|im_end|>
<|im_start|>assistant... | 72,280 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 690 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Anaphora is the repetition of the same word or words at the beginning of several phrases or clau... | 4,154 |
<|im_start|>user
It takes Avery 3 hours to build a brick wall while Tom can do it in 5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Answer Choices: (A) 100 (B) 110 (C) 120 (D) 130 (E) 140<|im_end|>
<|im_start|>assistant
<think>
... | 8,596 |
<|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 16 long. You might be thinking, 16 what? Is the pencil 16 cen... | 777 |
<|im_start|>user
6 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange them... | 34,616 |
<|im_start|>user
If (x + yi) / i = ( 7 + 9i ) , where x and y are real, what is the value of (x + yi)(x - yi)?
Answer Choices: (A) 120 (B) 130 (C) 150 (D) 170 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
(x + yi) / i = ( 7 + 9i )
(x + yi) = i(7 + 9i) = -9 + 7i
(x + yi)(x - yi) = (-9 + 7i)(-9 - 7i) = 81 + ... | 6,710 |
<|im_start|>user
What science is the study of the occurrence, distribution, and determinants of health and disease in a population?
Answer choice: (A) physiology (B) toxicology (C) epidemiology (D) histology<|im_end|>
<|im_start|>assistant
<think>
</think>
Epidemiologist Epidemiology is the study of the occurrence, d... | 4,393 |
<|im_start|>user
A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Answer Choices: (A) s.2.8 (B) s.2.4 (C) s.2.5 (D) s.2.2 (E) s.3.16<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(24/100) = 24 --- 10
? --- 1 => Rs.2.4
100 --- 76
? --- 2.4 =... | 37,413 |
<|im_start|>user
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 20000, then find his savings?
Answer Choices: (A) Rs.3600 (B) Rs.4000 (C) Rs.3639 (D) Rs.3632 (E) Rs.3602<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be ... | 37,517 |
<|im_start|>user
Interstitial carbides are produced by the reaction of most transition metals at high temperatures with what element?
Answer choice: (A) carbon (B) hydrogen (C) oxygen (D) nitrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
temperatures with electropositive metals such as those of groups 1 and 2... | 37 |
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