text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In how many ways can 5 boys and 3 girls be seated on 7 chairs so that no two girls are together?
Answer Choices: (A) 5760 (B) 14400 (C) 480 (D) 56 (E) 1440<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us take opposite of the constraint.
2 girls sitting together: :
1 case is GGBGBBBB.
Total nu... | 2,533 |
<|im_start|>user
How long will a train 100m long travelling at 72kmph take to overtake another train 200m long travelling at 54kmph ?
Answer Choices: (A) 60 sec (B) 70 sec (C) 80 sec (D) 50 sec (E) 90 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
72 kmph=72*5/18 mps=20mps.
54 kmph=54*5/18 mps=15 mps.
The train... | 57,829 |
<|im_start|>user
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?
Answer Choices: (A) 10 (B) 8 (C) 6 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
(( 90 Θ 33 ) Θ 17 )
The remainder of ... | 90,751 |
<|im_start|>user
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 7 feet... | 91,671 |
<|im_start|>user
If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
Then 6 = ?
Hint: Its a logic Riddle not a mathematical riddle
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
A
1
As stated
1=6 => 6=1
The answer is A<|endoftext|> | 30,549 |
<|im_start|>user
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Answer Choices: (A) 98 (B) 78 (C) 76 (D) 87 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = (76 + 65 + 82 + 67 + 85)/5
= 375/5 = 75.
The answe... | 59,267 |
<|im_start|>user
A boy has seven trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Answer Choices: (A) 88 (B) 98 (C) 106 (D) 108 (E) 84<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The boy can select one trouser in seven ways.
The boy can select one shirt in 12 w... | 11,329 |
<|im_start|>user
Twenty four men can do a work in 48 days. How many men are required to complete the work in 12 days?
Answer Choices: (A) 85 (B) 46 (C) 50 (D) 96 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
D
96
We have M1 D1 = M2 D2
So, 24 * 48 = M2 * 12 => M2 = 96.
The answer is D<|endoftext|> | 6,656 |
<|im_start|>user
What will be the day of the week 15th August, 2010?
Answer Choices: (A) Tuesday (B) Saturday (C) Monday (D) Sunday (E) Friday<|im_end|>
<|im_start|>assistant
<think>
</think>
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years =... | 43,159 |
<|im_start|>user
a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject.
Answer Choices: (A) 65% (B) 75% (C) 85% (D) 95% (E) 88%<|im_end|>
<|im_start|>assistant
<think>
</think>
Already average of two subjects is (70+80)/2 = 75%
To maintain the percentage at 75%, he s... | 54,132 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 2,804 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Which change better matches the sentence?
Flowing water carries away sand and mud.
Answer Choices: (A) wildfire (B) erosion<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 811 |
<|im_start|>user
20 % of 2 is equal to
Answer Choices: (A) 0.2 (B) 0.4 (C) 0.6 (D) 0.7 (E) 0.9<|im_end|>
<|im_start|>assistant
<think>
</think>
20 % of 2 = (20 / 100) * 2 = 0.4
The answer is B<|endoftext|> | 79,002 |
<|im_start|>user
What is the are of an equilateral triangle of side 16 cm?
Answer Choices: (A) 10 (B) 99 (C) 88 (D) 77 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
36 * 5/18 = 10 mps
The answer is A<|endoftext|> | 34,031 |
<|im_start|>user
Calculate the time it will take for a full tank to become completely empty due to a leak given that
the tank could be filled in 7 hours, but due to the leak in its bottom it takes 8 hours to be filled ?
Answer Choices: (A) 59 hours (B) 54 hours (C) 59 hours (D) 56 hours (E) 26 hours<|im_end|>
<|im_star... | 37,941 |
<|im_start|>user
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
Answer Choices: (A) 2079 (B) 456 (C) 974 (D) 562 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
The answer is A<|endoftext|> | 43,734 |
<|im_start|>user
In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?
Answer Choices: (A) 2/5. (B) 5/12. (C) 3/10. (D) 5/14. (E) 2/3.<|im_end|>
<|im_start|>assistant
<think>
</think>
Proba... | 64,895 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 496 |
<|im_start|>user
What term is used for any combination of two or more atoms?
Answer choice: (A) element (B) synthesis (C) nucleus (D) molecule<|im_end|>
<|im_start|>assistant
<think>
</think>
A molecule is any combination of two or more atoms. The oxygen in the air we breathe is two oxygen atoms connected by a chemic... | 1,014 |
<|im_start|>user
The global pattern of precipitation is influenced by movements of what?
Answer choice: (A) pollution masses (B) air valleys (C) clouds (D) air masses<|im_end|>
<|im_start|>assistant
<think>
</think>
The global pattern of precipitation is influenced by movements of air masses. For example, there is a ... | 430 |
<|im_start|>user
Freezing rain that falls from the sky is also called?
Answer choice: (A) sleet (B) snowfall (C) hail (D) fog<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,282 |
<|im_start|>user
A certain artist is selling five paintings for the following prices: $7,000, $8,000, $9,000, $23,000, and $25,000. If the price of the most expensive painting is increased $3,000, which of the following statements best describes the change in the mean and the median of the paintings?
Answer Choices: (A... | 90,460 |
<|im_start|>user
200,190,180,....,160,150,140
Insert the missing number
Answer Choices: (A) 155 (B) 156 (C) 157 (D) 170 (E) 158<|im_end|>
<|im_start|>assistant
<think>
</think>
Missing number : 170
The answer is D<|endoftext|> | 83,376 |
<|im_start|>user
If you are given $4, and the amount doubles every day, how much money will you have after 8 days?
Answer Choices: (A) $256 (B) $512 (C) $1024 (D) $65536 (E) $4096<|im_end|>
<|im_start|>assistant
<think>
</think>
4^8=65536
The answer is D<|endoftext|> | 61,825 |
<|im_start|>user
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of... | 53,403 |
<|im_start|>user
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 45%. Staff are allowed a further 40% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Answer Choices: (A) 0.35D (B) 0.76D (C) 0.65D (D) 0.77D (E) 0.33... | 66,954 |
<|im_start|>user
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 7^b, which of the following is a possible units digit of xy?
Answer Choices: (A) 1 (B) 4 (C) 5 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Only Units digit of X and Y contribute to the Units d... | 1,080 |
<|im_start|>user
What does rearrangements of chromosomes contribute to the emergence of?
Answer choice: (A) new species (B) clones (C) extinction (D) fewer species<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 5,280 |
<|im_start|>user
Which is the least number that must be subtracted from 1828 so that the remainder when divided by 8, 12, 16 is 4?
Answer Choices: (A) 0 (B) 4 (C) 8 (D) 6 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
First we need to figure out what numbers are exactly divisible by 8,12,16. This will be the ... | 67,378 |
<|im_start|>user
Which veins return oxygen-rich blood from the lungs to the heart?
Answer choice: (A) jugular (B) pulmonary (C) varicose (D) respiratory<|im_end|>
<|im_start|>assistant
<think>
</think>
Today in many countries, death rates have gone down but birth rates remain high. This means that the population is g... | 11,040 |
<|im_start|>user
A watch passes through three hands and each person gains 25%. If the third person sells it for $187.50, what did the first person pay for it?
Answer Choices: (A) $84 (B) $88 (C) $92 (D) $96 (E) $100<|im_end|>
<|im_start|>assistant
<think>
</think>
1.25*1.25*1.25 * original price = 187.5
(5/4)^3 * ori... | 84,687 |
<|im_start|>user
Three friends A,B and C invested Rs. 40,000, Rs.60,000 and 80,000 respectively in a business. If the annual profit is Rs. 18000 then share of B is
Answer Choices: (A) Rs. 5000 (B) Rs. 5400 (C) Rs. 5500 (D) Rs. 6000 (E) Rs. 7000<|im_end|>
<|im_start|>assistant
<think>
</think>
the ratio of investment ... | 25,533 |
<|im_start|>user
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Answer Choices: (A) 1/2 (B) 1 (C) 2/3 (D) 3/4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
So... | 9,037 |
<|im_start|>user
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 4 to 5 to 11. If a total of 120 sandwiches were made, how many bologna sandwiches
were made?
Answer Choices: (A) 15 (B) 30 (C) 38 (D) 42 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
For deciding such task we... | 61,208 |
<|im_start|>user
P and Q together can complete a piece of work in 4 days. If P alone can complete the same work in 20 days, in how many days can Q alone complete that work?
Answer Choices: (A) 2 (B) 7 (C) 5 (D) 9 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(P + Q)'s 1 day's work = 1/4, P's 1 d... | 29,101 |
<|im_start|>user
Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Answer Choices: (A) 1 (B) 4 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_star... | 71,407 |
<|im_start|>user
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = ... | 70,356 |
<|im_start|>user
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 5 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For ... | 87,828 |
<|im_start|>user
For what value of “k†will the equation (2kx2 + 4kx +2)=0 have equal roots?
Answer Choices: (A) 1 (B) 9/4 (C) 16/25 (D) 7/1 (E) 7/2<|im_end|>
<|im_start|>assistant
<think>
</think>
for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0
in the given equation
(4k)^2-4*2k*2=... | 93,856 |
<|im_start|>user
What is the decayed remains of living organisms called?
Answer choice: (A) humus (B) plateaus (C) fossils (D) oil<|im_end|>
<|im_start|>assistant
<think>
</think>
Humus is the decayed remains of living organisms. Humus makes soil fertile.
The answer is A<|endoftext|> | 4,756 |
<|im_start|>user
Here 10 programmers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?
Answer Choices: (A) 16 (B) 6 (C) 10 (D) 60 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
formulas for it (men1*time1)/work1=(m2*t2)/w2
(10*10)/10=(m2*60)/60
(10*10... | 54,888 |
<|im_start|>user
Lionel left his house and walked towards Walt's house, 48 miles away. Four hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 2 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
Answer Choices: (A) 12 (B) 18 (C) 20 (D) 24 ... | 37,371 |
<|im_start|>user
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 43 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Number = (35 * 12) = 420
Correct quotient = 42... | 2,247 |
<|im_start|>user
What is a hole that is dug or drilled through the ground down to an aquifer called?
Answer choice: (A) moat (B) well (C) ditch (D) canal<|im_end|>
<|im_start|>assistant
<think>
</think>
Most groundwater does not flow out of an aquifer as a spring or geyser. So to use the water that's stored in an aqu... | 6,793 |
<|im_start|>user
Today is Monday. After 61 days, it will be:
Answer Choices: (A) SUNDAY (B) SATURSDAY (C) FRIDAY (D) THURSDAY (E) MONDAY<|im_end|>
<|im_start|>assistant
<think>
</think>
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
The answer ... | 67,336 |
<|im_start|>user
A teacher gave the same test to three history classes: M, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three ... | 37,872 |
<|im_start|>user
If y = 2 + 2K and y≠0y≠0, then 7/y + 3/y + 1/y + 1/y = ?
Answer Choices: (A) 1/(8+8k) (B) 6/(1+k) (C) 1/(8+k) (D) 4/(8+k) (E) 4/(1+k) <|im_end|>
<|im_start|>assistant
<think>
</think>
7/Y + 3/Y + 1/Y + 1/Y
= 12/Y
= 12/(2 + 2K)
= 6/(1 + K)
The answer is B<|endoftext|> | 48,999 |
<|im_start|>user
The area of a rectangular plot is 15 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Answer Choices: (A) 10 metres (B) 5 metres (C) 7.5 metres (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
L × B = 15 ×... | 84,467 |
<|im_start|>user
A swimmer jumps from a bridge over a canal and swims one kilometer stream up. After that first kilometer, he passes a floating cork. He continues swimming for half an hour, then turns around, and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has b... | 56,746 |
<|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... | 2,680 |
<|im_start|>user
In a division, divident is 690, divisior is 36 and quotient is 19. Find the remainder.
Answer Choices: (A) A) 4 (B) B) 3 (C) C) 2 (D) D) 5 (E) E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
690 = 36 x 19 + r
690 = 684 + r
r = 690 - 684 = 6
The answer is E<|endoftext|> | 64,977 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Is the following statement true or false?
Animal cells do not have cytoplasm.
Answer Choices: (A) true (B) false<|im_end|>
<|im_start|>assistant
<think>
</think>
Animal cells do not have cytoplasm.
This stateme... | 967 |
<|im_start|>user
what is next no. 11 23 47 83 131 191 263 347 443???
Answer Choices: (A) 171 (B) 181 (C) 191 (D) 551 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
11+12*1=23
23+12*2=47
47+12*3=83
83+12*4=131
131+12*5=191
191+ 12*6=263
263+12*7=347
347+12*8=443
443+12*9=551
The answer is D<|endoftext|> | 8,696 |
<|im_start|>user
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Answer Choices: (A) 125/129 (B) 125/122 (C) 125/126 (D) 125/128 (E) 125/112<|im_end|>
<|im_start|>assistant
<think>
</think>
Required probability
= 1 - 1/126... | 77,955 |
<|im_start|>user
What will be the difference between simple and compound interest at 6% per annum on a sum of Rs. 1000 after 4 years?
Answer Choices: (A) 24.19 (B) 24.12 (C) 22.1 (D) 24.1 (E) 22.5<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. = (1000 * 6 * 4)/100 = Rs. 240
C.I. = [1000 * (1 + 6/100)4 - 1000] ... | 24,306 |
<|im_start|>user
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 80% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
Answ... | 79,629 |
<|im_start|>user
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 950 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
Answer Choices: (A) 3.64 (B) 1.75 (C) 3.52 (D) 2.72 (E) None of these... | 69,388 |
<|im_start|>user
The average of 10 consecutive integers is 15. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Answer Choices: (A) 10 (B) 10.5 (C) 11 (D) 11.5 (E) 12<|im_... | 43,107 |
<|im_start|>user
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15% while buying and by 20% while selling. What is his percentage profit?
Answer Choices: (A) 10.22% (B) 20.22% (C) 21.22% (D) 43.75% (E) Can't be calculated<|im_end|>
<|im_start|>assista... | 12,586 |
<|im_start|>user
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. You have to find out the part that is not equal to the other four. The number of that part is the answer.
Answer Choices: (A) 7529.0 – 6(1110.555) (B) 93.27 – 167.20 + 439.60 (C) 490.92 + 439.65 – 6... | 92,974 |
<|im_start|>user
Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?
Answer Choices: (A) 52 (B) 58 (C) 63 (D) 75 (E) 76<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We h... | 10,684 |
<|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... | 4,142 |
<|im_start|>user
A bag contains 6 red, 3 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Answer Choices: (A) 2/7 (B) 3/5 (C) 3/11 (D) 1/4 (E) 7/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 6+3+4 = 13
... | 62,230 |
<|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.
Temperature can be written with units of degrees Fahrenheit (°F) or Celsius (°C). Use the list be... | 3,142 |
<|im_start|>user
A square with sides of 15 units each. What would be the area of the square. Consider a square as a combination of two right angled triangles.
Answer Choices: (A) 100 (B) 256 (C) 225 (D) 81 (E) 144<|im_end|>
<|im_start|>assistant
<think>
</think>
A square can be considered as a set of two right angled... | 71,316 |
<|im_start|>user
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a10 is equal to ?
Answer Choices: (A) a. 6*2^9 -5 (B) b. 5*2^99+6 (C) c. 6*2^99+5 (D) d. 6*2^99-5 (E) e. 6*2^99-6<|im_end|>
<|im_start|>assistant
<think>
</think>
Here is solution:
an+1=2an+5............(1)
lets ADD 5 to both sides....
so (an+1) + 5= 2 ... | 90,914 |
<|im_start|>user
What is a funnel-shaped cloud of whirling high winds known as?
Answer choice: (A) volcano (B) tornado (C) tsunami (D) hurricane<|im_end|>
<|im_start|>assistant
<think>
</think>
Severe thunderstorms have a lot of energy and strong winds. This allows them to produce tornadoes. A tornado is a funnel-sha... | 7,427 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 335 |
<|im_start|>user
What is the sum of all the composite numbers up to 12?
Answer Choices: (A) 21 (B) 20 (C) 36 (D) 40 (E) 49<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4 + 6 + 8 + 9 + 10 +12 = 37
The answer is E<|endoftext|> | 45,549 |
<|im_start|>user
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is?
Answer Choices: (A) 153600 (B) 155600 (C) 156600 (D) 157000 (E) 158000<|im_end... | 28,413 |
<|im_start|>user
If a farmer wants to plough a farm field on time, he must plough 160 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to... | 40,991 |
<|im_start|>user
If b does not equal zero, and ab = b/5, what is the value of a?
Answer Choices: (A) A) 1/5 (B) B) 1/4 (C) C) 1/3 (D) D) 1/2 (E) of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
To solve for a, divide both sides of the equation by b: ab = b/5
(ab)/b = (b/5)/b
a = (b/5)*1/b
a ... | 40,238 |
<|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... | 1,116 |
<|im_start|>user
Find the sum of all the four digit numbers which are formed by digits 1, 2, 5, 6
A.
B.
C.
D.
Answer Choices: (A) 933510 (B) 93324 (C) 65120 (D) 8400 (E) 7400<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 4!=24 four digit numbers which are formed by digits 1, 2, 5, 6.
Obviously 24/4=6 num... | 88,556 |
<|im_start|>user
How many different letter arrangements can be made from the letters of the word RECOVER?
Answer Choices: (A) 1210 (B) 5040 (C) 1260 (D) 1200 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Possible arrangements are :
7!/2!×2!=1260 [division by 2 times 2! is because of the repetitio... | 27,338 |
<|im_start|>user
Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 37 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:56, at what time will they be reading the same page?
Answer Choices: (A) 7:26 (B) 7:56 (C) 8:... | 52,920 |
<|im_start|>user
In the list 1, 2, 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Answer Choices: (A) 2/9 (B) 1/3 (C) 2/5 (D) 4/11 (E) 7/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Mode: The mode of any set is the term which has the highest frequency (Occurrence)
Highest frequent... | 19,867 |
<|im_start|>user
To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Answer Choices: (A) 173.6 (B) 176.4 (C) 347.1... | 14,149 |
<|im_start|>user
What is the ratio of a wave frequency to its vibration frequency?
Answer choice: (A) same (B) one (C) two (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
The frequency of a wave is the same as the frequency of the vibrations that caused the wave. For example, to generate a higher-frequency... | 5,001 |
<|im_start|>user
What is the complex network of nervous tissue that carries electrical messages throughout the body?
Answer choice: (A) nervous system (B) respiratory system (C) circulatory system (D) lymphatic system<|im_end|>
<|im_start|>assistant
<think>
</think>
A small child darts in front of your bike as you ra... | 5,621 |
<|im_start|>user
Changing the frequency of sound waves, will change the _________ of the sound of a musical instrument?
Answer choice: (A) velocity (B) distance (C) pitch (D) direction<|im_end|>
<|im_start|>assistant
<think>
</think>
All musical instruments create sound by causing matter to vibrate. Most musical inst... | 11,100 |
<|im_start|>user
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 40 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are... | 71,117 |
<|im_start|>user
Employees of a certain company are each to receive a unique 7-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, and 6 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are t... | 65,524 |
<|im_start|>user
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 650, what is the least possible value of n?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
650 = 2 * 5 * 5 * 13
so the least value forNcan be 13.
D
... | 89,523 |
<|im_start|>user
A train 560 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 15 (B) 16 (C) 17 (D) 28 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 560 * 2/35 = 32 sec
The answer is E<|endoftext|> | 75,309 |
<|im_start|>user
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?
Answer Choices: (A) White (B) BLUE (C) PINK (D) ORANCE (E) BLACK<|im_end|>
<|im_start|>assistant
<thin... | 34,492 |
<|im_start|>user
30 men can do a work in 40 days. When should 10 men leave the work so that the entire work is completed in 40 days after they leave the work?
Answer Choices: (A) 87 days (B) 10 days (C) 55 days (D) 44 days (E) 20 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Total work to be done = 30 * 40 = ... | 71,383 |
<|im_start|>user
What do you call the process of a solid becoming a liquid?
Answer choice: (A) boiling (B) melting (C) vaporizing (D) freezing<|im_end|>
<|im_start|>assistant
<think>
</think>
Substances can change phase—often because of a temperature change. At low temperatures, most substances are solid; as the temp... | 6,481 |
<|im_start|>user
A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Answer Choices: (A) 79.2 km/hr (B) 69 km/hr (C) 74 km/hr (D) 61 km/hr (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x is the length of the train and v... | 13,395 |
<|im_start|>user
After decreasing 80% in the price of an article costs Rs.320. Find the actual cost of an article?
Answer Choices: (A) 2777 (B) 2987 (C) 1200 (D) 9977 (E) 1600<|im_end|>
<|im_start|>assistant
<think>
</think>
CP* (20/100) = 320
CP= 16* 100 => CP = 1600
The answer is E<|endoftext|> | 88,024 |
<|im_start|>user
The dead, dry stratum corneum is the most superficial layer of what and is the layer exposed to the outside environment?
Answer choice: (A) epidermis (B) intestinal (C) lungs (D) dermis<|im_end|>
<|im_start|>assistant
<think>
</think>
Stratum Corneum The stratum corneum is the most superficial layer ... | 1,790 |
<|im_start|>user
If a × b = 2a - 3b + ab, then 3 × 4 + 4 × 3 is equal to :
Answer Choices: (A) 17 (B) 23 (C) 24 (D) 25 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3 × 4 + 4 × 3 = (2 × 3 - 3 × 4 + 3 × 4) + ( 2 × 4 - 3 × 3 + 4 × 3)
= (6 + 8 - 9 + 12) = 17.
The answer is A<|endoftext|... | 46,384 |
<|im_start|>user
There are equal numbers of male and female horses in a ranch.The number of brown horses is 30% more than the number of female brown horses.What percentage of female horses are brown if the total number of male horse is ten times more than the number of brown male horses.
Answer Choices: (A) 30 (B) 33.3... | 91,945 |
<|im_start|>user
An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference V between the highest and the lowest incentive received by the ... | 88,337 |
<|im_start|>user
What is the average (arithmetic mean) of the numbers 21, 22, 23, 23, 24, and 25?
Answer Choices: (A) 23.0 (B) 22.5 (C) 21 (D) 24 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
{21, 22, 23, 23, 24, 25}={23-2,23-1, 23, 23,23+1,23+2} --> the average = 23.
The answer is E<|endoftext|> | 31,329 |
<|im_start|>user
A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?
Answer Choices: (A) 36 km/hr (B) 64 km/hr (C) 84 km/hr (D) 91 km/hr (E) 95 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
total distance cover by train in 15sec=150+200m
speed=distance/time
speed... | 88,274 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement. It tells about something. A declarative sentence always ends with a period.
I have an older brother and a younger sister.
An interrogative sentence is... | 4,547 |
<|im_start|>user
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area T of that hemisphere?
Answer Choices: (A) 6/π (B) 9/π (C) 6 (D) 9 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Area of the base of a ... | 64,506 |
<|im_start|>user
The simple interest at c% for c years will be $c on a sum of
Answer Choices: (A) $ (1000) /c (B) $(100) c^2 (C) $ c (D) $ (100) /c (E) $ 100c<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal =$(100*c)/(c*c)=$(100/c).
The answer is D<|endoftext|> | 93,997 |
<|im_start|>user
Torry has submitted 2/5 of his homework assignments, and he received an average grade of 75 for those assignments. If he wishes to receive an average grade of 96 for all his homework assignments, the average grade for Torry's remaining homework assignments must be what percent greater than the average ... | 52,577 |
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