text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A city with a population of 160,080 is to be divided into 8 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Answer Choices: (A)... | 16,329 |
<|im_start|>user
What value of dissolved substances is higher than that of their corresponding precipitate?
Answer choice: (A) entropy (B) negentropy (C) binary (D) ordiny<|im_end|>
<|im_start|>assistant
<think>
</think>
Dissolved substances have a higher entropy value than their corresponding precipitate.
The answer... | 11,081 |
<|im_start|>user
A man purchased 15 pens, 12 books, 10 pencils and 5 erasers. The cost of each pen is Rs.36, each book is Rs.45, each pencil is Rs.8, and the cost of each eraser is Rs.40 less than the combined costs of pen and pencil. Find the total amount spent?
Answer Choices: (A) Rs.1100 (B) Rs.1120 (C) Rs.1140 (D) ... | 28,568 |
<|im_start|>user
What is the smallest integer n that satisfies both of the following equations, in which p and q
are positive integers?
n = p2 + p
n = q2 + q + 2014
Answer Choices: (A) 2024 (B) 2034 (C) 2056 (D) 2070 (E) 2196<|im_end|>
<|im_start|>assistant
<think>
</think>
The term 2014 in the second equation sugges... | 74,073 |
<|im_start|>user
The ratio 4:20 expressed as percent equals to
Answer Choices: (A) 20 % (B) 25 % (C) 55 % (D) 65 % (E) None of above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Actually it means 4 is what percent of 20, which can be calculated as,
(4/20)*100 = 4*5 = 20
The answer is A<|endoftext|> | 33,389 |
<|im_start|>user
Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
Answer Choices: (A) 70 (B) 71 (C) 80 (D) 90 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
A
The answer is A<|endoftext|> | 61,126 |
<|im_start|>user
If x is Negative integer ,y is positive integer, and 7x+3y=14 , which of the following could be the value of x ?
Answer Choices: (A) -1 (B) -5 (C) -2 (D) -3 (E) -4<|im_end|>
<|im_start|>assistant
<think>
</think>
Use answer options to solve this problem -
x is negative integer (-1,-2,-3......)
put x=... | 76,826 |
<|im_start|>user
If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
Answer Choices: (A) Tuesday (B) Monday (C) Wednesday (D) Thursday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
3rd dy is monday----so----1st day must be saturdy
1-8-15-... | 90,435 |
<|im_start|>user
The ratio of two numbers is 4 : 5 and their H.C.F. is 4. Their L.C.M. is
Answer Choices: (A) 48 (B) 22 (C) 80 (D) 27 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 4x and 5x. Then, their H.C.F. = x. So, x = 4.
So, the numbers 16 and 20.
L.C.M. of 16 and 20 = 8... | 18,483 |
<|im_start|>user
A bag contains 6 green balls and 8 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
Answer Choices: (A) 5/14 (B) 8/21 (C) 12/21 (D) 43/91 (E) 47/91<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ways to draw two bal... | 50,381 |
<|im_start|>user
What is 15 percent of 54?
Answer Choices: (A) 7.3 (B) 8.1 (C) 9.5 (D) 10.2 (E) 11.6<|im_end|>
<|im_start|>assistant
<think>
</think>
(15/100) * 54 = 8.1
The answer is B<|endoftext|> | 8,155 |
<|im_start|>user
Difference between two numbers is 4, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Answer Choices: (A) 5,9 (B) 7,9 (C) 9,8 (D) 11,12 (E) 13,3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x – y = 4
4x – 6y = 6
x = 9 y = 5
A)
The answer is A<... | 43,904 |
<|im_start|>user
A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Answer Choices: (A) 12 1/2 days (B) 10 1/2 days (C) 12 1/3 days (D) 10 1/3 days (E) 11 1/2 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 85,736 |
<|im_start|>user
A number is doubled and 5 is added. If the resultant is trebled, it becomes 129. What is that number?
Answer Choices: (A) 12 (B) 29 (C) 27 (D) 19 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 129
6x + 15 = 129
6x =114
x = 19
The answe... | 43,992 |
<|im_start|>user
The engineers subjected the engine to exhaustive tests.
Answer Choices: (A) Complicated (B) Thorough (C) Exclusive (D) Compulsory (E) Compulsory2<|im_end|>
<|im_start|>assistant
<think>
</think>
Exhaustive means thorough, complete or in-depth. Hence, option-b is synonym of exhaustive.
The answer is A... | 63,433 |
<|im_start|>user
If the average cost of a house was $70,000 in 1965 and was x in 2005, what was the average increase in home prices per year over this period?
Answer Choices: (A) A) (x+50,000) /40 (B) C) (50,000/40) +x (C) B) (x-50,000) /40 (D) D) (50,000-x) /40 (E) E) x/40<|im_end|>
<|im_start|>assistant
<think>
</th... | 5,124 |
<|im_start|>user
A takes twice as much time as B or thrice as much time to finish a piece of work.Working together they can finish the work in 2 days.B can do the work alone in:
Answer Choices: (A) 5 hours (B) 6 hours (C) 7 hours (D) 8 hours (E) 4 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B takes =x ... | 1,911 |
<|im_start|>user
For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the inte... | 63,041 |
<|im_start|>user
If a and b are negative and positive integers respectively,which of the following options must be positive?
Answer Choices: (A) ab (B) a/b (C) 2a/b (D) 4a/b (E) (a + b) ^2<|im_end|>
<|im_start|>assistant
<think>
</think>
A. np
-ve*+ve=-ve
will be negative
B. n/p
-ve/+ve=-ve
C.2a/b
-ve/+ve=-ve
D.4a/b
... | 37,552 |
<|im_start|>user
An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum number of marks obtained by him is?
Answer Choices: (A) 337 (B) 400 (C) 298 (D) 2798 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
130
14
-------
361------ 144
100%------? => 400
Th... | 36,918 |
<|im_start|>user
If mno < 0 and no > 0, which of the following must be positive?
Answer Choices: (A) xy (B) xz (C) (m^2) no (D) m(n^2) o (E) xy(z^2) <|im_end|>
<|im_start|>assistant
<think>
</think>
Given that no is positive and mno is negative, you can say that m MUST be negative. As for n and o either they are... | 26,008 |
<|im_start|>user
The successive discounts 20% and 15% are equal to a single discount of?
Answer Choices: (A) 12% (B) 45% (C) 32% (D) 98% (E) 78%<|im_end|>
<|im_start|>assistant
<think>
</think>
C
Let the CP of an article be Rs. 100
Given that successive discounts are 20% and 15%.
SP = 85% of 80% of 100 = (85/100)(80/... | 71,951 |
<|im_start|>user
The average of five numbers is 27. If one number is excluded, the average becomes 22. The excluded number is?
Answer Choices: (A) 50 (B) 49 (C) 48 (D) 47 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Excluded number = (27 * 5) - (22 * 4)
= 135 - 88
= 47.
The answer is D<|endoftext|> | 81,385 |
<|im_start|>user
A company can manufacture 1000 phones in a day. One-fifth of the phones produced are defective and one-quarter of all phones produced are rejected by quality control technician. If one-tenth of the nondefective phones are rejected by mistake, and if all the phones not rejected are sold, then what perce... | 33,978 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words are made up of syllables. Two kinds of syllables are closed and open.
A closed syllable has one vowel and ends with a consonant. It usually has a short vowel sound.
desk: short e
kit / ten: short i / short e
An open sy... | 5,831 |
<|im_start|>user
In a throw of coin what is the probability of getting head.
Answer Choices: (A) 1 (B) 2 (C) 1/2 (D) 0 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total cases = [H,T] - 2
Favourable cases = [H] -1
So probability of geƫng head = 1/2
The answer is C<|endoftext|> | 9,596 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true.
The month of July has more days than the month of June.
This is a fact. It can be proved by looking at a calendar and counting the number of days in each month.
An opinion i... | 1,163 |
<|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.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 5,108 |
<|im_start|>user
The band disappears before metaphase but predicts the future plane of what?
Answer choice: (A) cell division (B) cell matter (C) cell wall (D) cell solution<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 706 |
<|im_start|>user
The population of a village is 12000. It increases annually at the rate of 24% p.a. What will be its population after 2 years?
Answer Choices: (A) 14567 (B) 18451 (C) 18789 (D) 18786 (E) 14400<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
120... | 25,433 |
<|im_start|>user
What are the specialized cells of sponges called?
Answer choice: (A) plant cells (B) helper cells (C) collar cells (D) t cells<|im_end|>
<|im_start|>assistant
<think>
</think>
3. Sponges have specialized cells called collar cells. Describe how collar cells are specialized for the functions they serve... | 5,840 |
<|im_start|>user
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If E is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Answer Choices: (A) 0<y<4 (B) 4<y<10 (C) 10<y<20 (D) 20<y<30 (E) y>30<|im_end|>
<|im_start|>assistant... | 40,975 |
<|im_start|>user
What type of energy is produced when two objects move together?
Answer choice: (A) mechanical energy (B) potential energy (C) molecular energy (D) physical energy<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 7,341 |
<|im_start|>user
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Answer Choices: (A) 20 (B) 24 (C) 25 (D) 26 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans.(A)
Sol. Number of choice... | 16,467 |
<|im_start|>user
A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Answer Choices: (A) 9% (B) 10% (C) 11% (D) 12% (E) 13%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We can get SI of 3 years = 12005 - 980... | 4,951 |
<|im_start|>user
How many two-element subsets of <1, 2,3,4,5,6,7> are there that do not contain the pair of elements 2 and 4?
Answer Choices: (A) 11 (B) 12 (C) 14 (D) 15 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
7C2 - 1 = 20
The answer is E<|endoftext|> | 83,645 |
<|im_start|>user
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Answer Choices: (A) 3388 (B) 3120 (C) 2177 (D) 1987 (E) 1268<|im_end... | 45,666 |
<|im_start|>user
A store has 10 bottles of juice, including 6 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Answer Choices: (A) 2/5 (B) 3/5 (C)... | 74,219 |
<|im_start|>user
Five pieces of wood have an average length of 140cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
Answer Choices: (A) a) 90 (B) b) 100 (C) c) 110 (D) d) 130 (E) e) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
E. 140
sum of all le... | 59,851 |
<|im_start|>user
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 16 sec (B) 15 sec (C) 48 sec (D) 44 sec (E) 21 sec<|im_end|>
<|i... | 20,417 |
<|im_start|>user
The average (arithmetic mean) of six numbers is 5. If 3 is subtracted from each of four of the numbers, what is the new average?
Answer Choices: (A) 1.5 (B) 2 (C) 3 (D) 4 (E) 4.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 6 numbers = 6*5 =30
If 3 is subtracted from each of four of the nu... | 25,646 |
<|im_start|>user
Adding 40% of x to x is equivalent to multiplying x by which of the following?
Answer Choices: (A) 12.5 (B) 1.05 (C) 1.15 (D) 1.2 (E) 1.4<|im_end|>
<|im_start|>assistant
<think>
</think>
140x/100= 1.4*x
The answer is E<|endoftext|> | 19,144 |
<|im_start|>user
If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a fifth circle?
Answer Choices: (A) 0.36 (B) 7200 (C) 360 (D) 3,600 (E) 36,000<|im_end|>
<|im_start|>assistant
<think>
</think>
1 degree * 1/100 = 1 anglet
So 1 degree = 100 anglets
=> 72 degrees = 7200 anglets
The ans... | 79,427 |
<|im_start|>user
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (16^2 – 1))
Answer Choices: (A) a. 9/19 (B) b. 10/19 (C) c. 10/21 (D) d. 11/21 (E) e. 8/17<|im_end|>
<|im_start|>assistant
<think>
</think>
it can be written into
1/3+1/15+ 1/35.....1/256
i.e
... | 18,043 |
<|im_start|>user
Due to similar function, the wings of bats and birds are referred to as what type of structures?
Answer choice: (A) symmetrical structures (B) matching structures (C) Identical structures (D) analogous structures<|im_end|>
<|im_start|>assistant
<think>
</think>
John Romanes, modified by CK-12 Foundat... | 8,018 |
<|im_start|>user
Alice has a jar of juice, and she drank 1/6 of the juice for lunch. If Alice drank 2/5 of the remaining juice for dinner, what fraction of the juice was left after dinner?
Answer Choices: (A) 1/2 (B) 2/3 (C) 1/4 (D) 2/5 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the amount of j... | 93,681 |
<|im_start|>user
There are 1500 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division?
Answer Choices: (A) 22 (B) 35 (C) 37 (D) 73 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
E
60
24 soldiers + 1 of... | 91,887 |
<|im_start|>user
There has been successive increases of 15% and then 10% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
Answer Choices: (A) 12% (B) 15% (C) 18% (D) 21% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</thin... | 66,420 |
<|im_start|>user
Eleven books consisting of 2 financial management, 4 marketing management and 5 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
Answer Choices: (A) 1/1455 (B) 1/1355 (C) 1/2255 (D) 1/1155 (E) 1/5040<|im_end|>
<|im_start|>ass... | 69,595 |
<|im_start|>user
What is the lowest possible common multiple of 2 distinct integers, each greater than 135?
Answer Choices: (A) 136*136 (B) 136*137 (C) 272 (D) 136 (E) 137<|im_end|>
<|im_start|>assistant
<think>
</think>
The least common multiple of two numbers greater than 135 is 2(136) = 272, where the two distinct... | 21,442 |
<|im_start|>user
The product of all the prime numbers less than 28 is closest to which of the following powers of 10?
Answer Choices: (A) a) 10^9 (B) b) 10^8 (C) c) 10^7 (D) d) 10^6 (E) e) 10^8*2.23<|im_end|>
<|im_start|>assistant
<think>
</think>
Group these numbers so as to get product close to a multiple of 1... | 33,750 |
<|im_start|>user
Gases are most ideal at high temperature and what pressure?
Answer choice: (A) absolute (B) high (C) low (D) stable<|im_end|>
<|im_start|>assistant
<think>
</think>
Under what conditions then, do gases behave least ideally? When a gas is put under high pressure, its molecules are forced closer togeth... | 44 |
<|im_start|>user
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think... | 10,655 |
<|im_start|>user
S is a set containing 10 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Answer Choices: (A) The median of S is prime. (B) The median of T is prime (C) The median of S is equal to the median of... | 80,249 |
<|im_start|>user
On a test average (arithmetic mean) test score for 9 students is 80. What must be 10th student's score that average score for 10 students to be 82?
Answer Choices: (A) 100 (B) 90 (C) 80 (D) 70 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
(9*80+x)/10=82
x=(10*82)-(9*80)
x= 820 - 720
total s... | 73,040 |
<|im_start|>user
A person can swim in still water at 12 km/h. If the speed of water 10 km/h, how many hours will the man take to swim back against the current for 8km?
Answer Choices: (A) 4 (B) 7 (C) 5 (D) 9 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 12
S = 10
US = 12 - 10 = 2
D = 8
T = 8/2 = 4
The an... | 94,862 |
<|im_start|>user
If P and Q are positive integers, P - 3 is divisible by 4 and Q - 1 is divisible by 4, all of the following could be the value of P - Q Except?
Answer Choices: (A) 1 (B) 2 (C) 6 (D) 18 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
P-3 = 4Q
=> P = 4Q + 3 = 3,7,11,15,19,23,27,31,35,39
Q-1 = 4... | 50,963 |
<|im_start|>user
The radius of a cone is 49 m, slant height is 35 m. Find the curved surface area?
Answer Choices: (A) 5160 (B) 5390 (C) 6430 (D) 6720 (E) 7280<|im_end|>
<|im_start|>assistant
<think>
</think>
Cone curved surface area = πrl
22/7 × 49 × 35 = 154 × 35 = 5390 m(power2)
The answer is B<|endoftext|> | 10,092 |
<|im_start|>user
In how many ways letters of the word RSCUPERATE be arranged?
Answer Choices: (A) 154546 (B) 154632 (C) 164333 (D) 243456 (E) 302400<|im_end|>
<|im_start|>assistant
<think>
</think>
RESUPERATE has 10 letters, out of which E repeated 3 times, R repeated 2 times. Hence total ways = 10! / (3!*2!) = 30240... | 50,098 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 6,001 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a spade and the second card is a jack is?
Answer Choices: (A) 1/50 (B) 1/13 (C) 1/26 (D) 1/52 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Probability of a spade = 13/52 ... | 66,712 |
<|im_start|>user
Mike earns $14 per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
Answer Choices: (A) 25% (B) 32.5% (C) 37% (D) 37.5% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
let it be x % less ,then
=14(1-x/100)=10.5
1-x/100=10.5/... | 81,946 |
<|im_start|>user
1,3,3,9,27,243,?
Answer Choices: (A) 6565 (B) 6661 (C) 6861 (D) 6561 (E) 6531<|im_end|>
<|im_start|>assistant
<think>
</think>
Each number is the product of the previous two numbers, ie 27*243 = 6561.
The answer is D<|endoftext|> | 72,107 |
<|im_start|>user
Dhanumjay invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Answer Choices: (A) 8% p.a. (B) 5% p.a. (C) 6% p.a. (D) 4% p.a. (E) 3% p.a<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let ... | 4,196 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every substance around you is made of one or more chemical elements, or types of atoms. Substances that are made of only one chemical element are elementary substances. Substances that are made of two or more chemical elemen... | 1,543 |
<|im_start|>user
The atoms of a compound are held together by what type of bonds?
Answer choice: (A) covalent (B) mineral (C) radiation (D) chemical<|im_end|>
<|im_start|>assistant
<think>
</think>
The atoms of a compound are held together by chemical bonds. Chemical bonds form when atoms share electrons. There are d... | 7,316 |
<|im_start|>user
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Answer Choices: (A) 31 (B) 66 (C) 55 (D) 77 (E) 81<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score of the batsman in 20 match... | 6,141 |
<|im_start|>user
Car Dealership X, the total profit from sales increased by 30 percent over the previous years, while the number of cars sold decreased by 30 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Answer Choices: (A) 18% (B) 30% (C)... | 20,633 |
<|im_start|>user
What happens if waste molecules accumulate within a cell?
Answer choice: (A) Increased cell growth. (B) Blockages, cell death, and potential complications. (C) Enhanced cell division. (D) Improved cell function.<|im_end|>
<|im_start|>assistant
<think>
</think>
Accumulated waste can lead to blockages,... | 177 |
<|im_start|>user
How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 5?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
The numbers should be of the form 5c+3.
The minimum is 3 when c=0.
The maximum is 48 when c=9.
There are 10 such numbers.
T... | 69,032 |
<|im_start|>user
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 48 seconds. Find the length of the faster train?
Answer Choices: (A) 270 (B) 288 (C) 266 (D) 299 (E) 480<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (72 - 36... | 72,793 |
<|im_start|>user
In what ratio must water be mixed with milk costing Rs.12 per litre in order to get a mixture worth of
Rs.8 per litre?
Answer Choices: (A) 1 : 3 (B) 2 : 2 (C) 1 : 2 (D) 3 : 1 (E) 3 : 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
By the rule of alligation, we have
Cost Price of 1 li... | 67,324 |
<|im_start|>user
Express a speed of 414 kmph in meters per second?
Answer Choices: (A) 201 mps (B) 114 mps (C) 118 mps (D) 115mps (E) 111 mps<|im_end|>
<|im_start|>assistant
<think>
</think>
414* 5/18 = 115 mps
The answer is D<|endoftext|> | 85,844 |
<|im_start|>user
A certain roller coaster has 2 cars, and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 2 times, what is the probability that the passenger will ride in each of the 2 cars?
Answer Choic... | 14,274 |
<|im_start|>user
A single discount equivalent to the discount series of 30%, 10% and 5% is?
Answer Choices: (A) 40.15 (B) 31.7 (C) 31.6 (D) 31.5 (E) 31.1<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(70/100)*(90/100)*(95/100) = 59.85
100 - 59.85 = 40.15
The answer is A<|endoftext|> | 26,081 |
<|im_start|>user
What type of rocks form from cooled magma or lava?
Answer choice: (A) granite (B) sedementary (C) metamorphic (D) igneous<|im_end|>
<|im_start|>assistant
<think>
</think>
Igneous rocks form from cooled magma or lava.
The answer is D<|endoftext|> | 505 |
<|im_start|>user
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Answer Choices: (A) 377 (B) 367 (C) 237 (D) 245 (E) 267<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 ... | 25,623 |
<|im_start|>user
If 1*548 is divisible by 3, which of the following digits can replace *?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
1 + x + 5 + 4 + 8 = (18 + x).
Clearly, when x=0, then sum of digits divisible by 3.
The answer is D<|endoftext|> | 52,913 |
<|im_start|>user
A 240 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Answer Choices: (A) 230 (B) 260 (C) 267 (D) 256 (E) 298<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = ... | 55,760 |
<|im_start|>user
The sum of ages of 5 children born 3 years different each is 65 yrs. What is the age of the Elder child?
Answer Choices: (A) 17 (B) 19 (C) 16 (D) 18 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) +... | 25,466 |
<|im_start|>user
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
Answer Choices: (A) 40 (B) 50 (C) 65 (D) 70 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original # be x then 1.25x−0.7x=22 --> x=... | 9,761 |
<|im_start|>user
96% of the population of a village is 23040. The total population of the village is ?
Answer Choices: (A) 32256 (B) 24000 (C) 24936 (D) 25640 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
∵ 96% of P = 23040
∴ P = (23040 x 100) / 96 = 24000
Correct Option: B
The answer is B<|endofte... | 34,455 |
<|im_start|>user
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Answer Choices: (A) 5/7 (B) 5/3 (C) 5/1 (D) 5/6 (E) 5/2<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one graduate) = 1 - P(no graduates)
=... | 88,991 |
<|im_start|>user
If the perimeter of a rectangular house is 1400 m, its length when its breadth is 300 m is?
Answer Choices: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
2(l + 300) = 1400 => l = 400 m
The answer is B<|endoftext|> | 49,274 |
<|im_start|>user
Tina has 12 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 5 specific shirts with 3 specific pants?
Answer Choices: (A) 93 (B) 66 (C) 36 (D) 85 (E) 108<|im_end|>
<|im_start|>assistant
<think>
</think>
Total no of combinations available is= 12 shirts X 9 pant... | 20,105 |
<|im_start|>user
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.5 kg. The weight of the new student is
Answer Choices: (A) 22 kg (B) 21.6 kg (C) 22.4 kg (D) 13 kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp . The total weig... | 66,331 |
<|im_start|>user
How many possible ways can 5 girls (Rebecca, Kate, Ashley) go on a date with 5 boys (Peter, Kyle, Sam)?
Answer Choices: (A) 3 (B) 120 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Any one girl can go with 5 boys.
2nd girl can go with remaining 4 boys
3nd girl can go with rem... | 71,874 |
<|im_start|>user
In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent Z of his family’s total income?
Answer C... | 90,912 |
<|im_start|>user
The sum of three numbers is 136. If the ratio between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is
Answer Choices: (A) 38 (B) 27 (C) 99 (D) 60 (E) 82<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A : B = 2 : 3 and B : C = 5 : 3
=>A : ... | 15,514 |
<|im_start|>user
Find 60/42*4
Answer Choices: (A) 14.7653 (B) 0.5897 (C) 3.6974 (D) 0.3571 (E) 1.2587<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer=60/42*4
=60/168=0.3571
Option D is correct
The answer is D<|endoftext|> | 14,308 |
<|im_start|>user
896.7 – 573.07 – 95.007 = ?
Answer Choices: (A) 228.623 (B) 224.777 (C) 233.523 (D) 414.637 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given expression = 896.7 - (573.07 + 95.007) = 896.7 - 668.077 = 228.623.
The answer is A<|endoftext|> | 73,684 |
<|im_start|>user
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12015 after 8 years at the same rate of simple interest. The rate of interest per annum is?
Answer Choices: (A) 12.05% (B) 5% (C) 13.05% (D) 22.05% (E) 18.05%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. for 3 years = (12015 - 9800) = ... | 53,761 |
<|im_start|>user
Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-3# = 2, what is the value of #3#?
Answer Choices: (A) -4 (B) 0 (C) -2 (D) -3 (E) -5<|im_end|>
<|im_start|>assistant
<think>
</think>
#p# = ap^3 + bp - 1
#-3# = 2
putting p... | 54,814 |
<|im_start|>user
A rectangular rug with side lengths of 2 feet and 6 feet is placed on a square floor that has an area of 65 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
Answer Choices: (A) A.3/16 (B) 1/4 (C) C.1/2... | 89,202 |
<|im_start|>user
Which of the following CANNOT be a product of two distinct positive integers c and d?
Answer Choices: (A) c (B) d (C) 3d + 2c (D) d - c (E) dc<|im_end|>
<|im_start|>assistant
<think>
</think>
In these questions it is best to take an example as if something is true for all positive integers than it as... | 57,983 |
<|im_start|>user
An electromagnetic wave begins with what movement by an electrically charged particle?
Answer choice: (A) vibration (B) acceleration (C) diffusion (D) momentum<|im_end|>
<|im_start|>assistant
<think>
</think>
An electromagnetic wave begins when an electrically charged particle vibrates. This causes a... | 3,600 |
<|im_start|>user
The average of a couple was 20Yrs when they were married 8Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 21Yrs now. How old is the
child now ?
Answer Choices: (A) 2 Yrs (B) 4 Yrs (C) 3 Yrs (D) 1 Yrs (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>... | 91,637 |
<|im_start|>user
There are 9 people in the room. There are two pairs of siblings within that group. If we choose two people, what is the probability that they will not be siblings?
Answer Choices: (A) 12/18 (B) 17/18 (C) 2/9 (D) 1/18 (E) 4/18<|im_end|>
<|im_start|>assistant
<think>
</think>
we have XXXXXBBCC
We have ... | 49,595 |
<|im_start|>user
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than i... | 42,417 |
<|im_start|>user
The autonomic nervous system serves as the relay between what and the internal organs?
Answer choice: (A) hormones (B) central nervous system (C) somatic system (D) peripheral nervous system<|im_end|>
<|im_start|>assistant
<think>
</think>
The autonomic nervous system serves as the relay between the ... | 1,806 |
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