text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
The tax on a commodity is diminished by 28% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
Answer Choices: (A) 18% (B) 19% (C) 32% (D) 12% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
72 * 112= 8064
10000------- 1936
10... | 34,628 |
<|im_start|>user
When m is divided by 9, the remainder is 8. When m is divided by 13, the remainder is 5. If 1 < m < 200, what is the greatest possible value of m?
Answer Choices: (A) 47 (B) 65 (C) 103 (D) 117 (E) 161<|im_end|>
<|im_start|>assistant
<think>
</think>
Looking at the choices, options BD can be eliminate... | 77,558 |
<|im_start|>user
Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $9.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Answer Choices: (A) a. $3.19 (B) b.... | 23,832 |
<|im_start|>user
a, b are positive integers. The remainder of a to be divided by 7 is 6 and the remainder of b to be divided by 8 is 5.
Which is possible to be the remainder of a*b to be divided by 52
Answer Choices: (A) a) 2 (B) b) 6 (C) c) 8 (D) d) 12 (E) e) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 30,421 |
<|im_start|>user
A bakery has 6 employees. It pays annual salaries of $16,000 to each of 2 employees, $18,000 to 1 employee, and $19,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Answer Choices: (A) $17,200 (B) $17,500 (C) $17,800 (D... | 6,877 |
<|im_start|>user
The tax on a commodity is diminished by 25% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Answer Choices: (A) 12% (B) 14% (C) 16% (D) 20% (E) 17.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
100 * 100 = 10000
75 * 110 = 8250
1000... | 46,015 |
<|im_start|>user
Which of the following is equal to 1(1/7)%?
Answer Choices: (A) 0.012/100 (B) 0.12/100 (C) 1.14/100 (D) 12/100 (E) 12/10<|im_end|>
<|im_start|>assistant
<think>
</think>
This notation may be confusing for some, since it looks like we're multiplying 1 and 1/7
How about adding a space:Which of the foll... | 5,924 |
<|im_start|>user
In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected?
Answer Choices: (A) 400 (B) 500 (C) 600 (D) 530 (E) 630<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We can select one boy from 20 boys in 20 ways.
We select one girl from 20 girls in 20 way... | 94,902 |
<|im_start|>user
A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 3 years. The sum is:
Answer Choices: (A) 500 (B) 698 (C) 780 (D) 737 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 2 years = Rs. (39 * 2) = Rs. 78.
â... | 67,978 |
<|im_start|>user
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?
Answer Choices: (A) 1/8. (B) 1/2. (C) 1/5. (D) 3/8. (E) 1/3.<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume the coin is unbiased.
Possible sums... | 46,626 |
<|im_start|>user
Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza pad one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to ... | 37,347 |
<|im_start|>user
Sudhir started a business with Rs.20,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
Answer Choices: (A) 3:2 (B) 2:3 (C) 4:3 (D) 3:4 (E) 1:1<|im_end|>
<|im_start|>assistant
<think>
</think>
20000*12:60000*(12-8)
=240000 :24000... | 95,159 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Answer Choices: (A) 80/7 sec (B) 20/8 sec (C) 20/7 sec (D) 20/3 sec (E) 20/3 sec<|im_end|>
<|im_start|>assistant
<think... | 64,775 |
<|im_start|>user
I bought a book for Rs 60 , I sold off to a friend for Rs 70 but after a while i felt sorry , that i sold it and bought it back for Rs 80, how much loss did I incur?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
profit 70-60 = 10
b p =80-60 =20
20... | 53,441 |
<|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... | 3,997 |
<|im_start|>user
A sum of money is sufficient to pay X's wages for 36 days and Y's wages for 45 days. The same money is sufficient to pay the wages of both for?
Answer Choices: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total money be $x
X's 1day work = $ x/36
Y's 1day... | 70,654 |
<|im_start|>user
What is the process in which unstable nuclei become stable by emitting particles and energy and changing to different elements called?
Answer choice: (A) nuclear decay (B) radioactive decrease (C) initial decay (D) radioactive decay<|im_end|>
<|im_start|>assistant
<think>
</think>
Radioactive decay i... | 1,688 |
<|im_start|>user
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Answer Choices: (A) a 4^8 (B) b 400 (C) c 5^8 (D) d 8^5 (E) e 40^40<|im_end|>
... | 15,460 |
<|im_start|>user
If m=4p where p is a prime number greater than 2, how many different positive even divisors does m have, including m?
Answer Choices: (A) two (B) three (C) four (D) six (E) eight<|im_end|>
<|im_start|>assistant
<think>
</think>
m=2, 2, p (p is in the prime factorization since were told it is a prime ... | 8,962 |
<|im_start|>user
Hydrochloric acid is formed when hcl is dissolved into what?
Answer choice: (A) blood (B) sodium (C) plasma (D) water<|im_end|>
<|im_start|>assistant
<think>
</think>
When HCl is dissolved into water, it is called hydrochloric acid. Ionic compounds and some polar compounds are completely broken apart... | 393 |
<|im_start|>user
a dealer buys 4 varieties of rice costing rs. 40,rs.42,rs.54 and rs.50 per kg in the ratio 6:5:10:9 and mixes all the four varieties and sells at 50% profit. What is the selling price per kg of rice?
Answer Choices: (A) 68 (B) 70 (C) 72 (D) 75 (E) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
C... | 66,423 |
<|im_start|>user
What is the area inscribed by the lines y =6, x = 3, y = 2x-4 on an xy-coordinate plane?
Answer Choices: (A) a) 1 (B) b) 2 (C) c) 4 (D) d) 8 (E) e) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
First, let's graph the lines y = 6 and x = 3
At this point, we need to find the points where the... | 65,019 |
<|im_start|>user
What fluid becomes less viscous, allowing for better joint function after stretching?
Answer choice: (A) proximal (B) synovial (C) vertebral (D) cranial<|im_end|>
<|im_start|>assistant
<think>
</think>
Exercise and Stretching When exercising, it is important to first warm up the muscles. Stretching p... | 10,657 |
<|im_start|>user
A certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Answer Choices: (A) 0.7 (B) 0.15 (C) 0.54 (D) 0.85 (E) 0.91<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 35,309 |
<|im_start|>user
If two of the four expressions x + y , x + 6y , x - y , and 6x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
Answer Choices: (A) 1/5 (B) 1/8 (C) 1/6 (D) 1/7 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ... | 62,223 |
<|im_start|>user
What is the sum of the prime factors of 121 and the prime factors of 7434
Answer Choices: (A) 27 (B) 67 (C) 57 (D) 37 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</think>
The prime factors of 7434are 3*3*2*7
The prime factors of 121 are 11*11
3+3+2+7+11+11 = 37. D is the
The answer is D<|endoftext... | 12,333 |
<|im_start|>user
An alloy is to contain Steel and Iron in the ratio 5:2. The Iron required to be melted with 35kg of Steel is?
Answer Choices: (A) 12kg (B) 14kg (C) 15kg (D) 20kg (E) 18kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required quantity of steel be x kg
5:2::35:x
5x =2*35
x = 14kg
The answer... | 74,349 |
<|im_start|>user
A six-character password consists of three letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Answer Choices: (A) 5,040 (B) 2,228,720 (C) 22,226,000 (D) 22,237,... | 68,803 |
<|im_start|>user
In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
Answer Choices: (A) 63 (B) 90 (C) 126 (D) 45 (E) 135<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of ways=7c5 x 3c2
=7c2 x 3c1
=63
The answer is A<|endoftext|> | 54,216 |
<|im_start|>user
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
Answer Choices: (A) 1008 (B) 1015 (C) 1022 (D) 1032 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required numbers =(L.C.M of 12,16,18,21,28) + 7
‹=›1008 + 7
= 1015.
The answer is B<|endoftex... | 88,036 |
<|im_start|>user
Hydrophobic interactions arise because water molecules engage in what type of bonding with other water molecules?
Answer choice: (A) aquatic bonding (B) oxygen bonding (C) hydrogen bonding (D) helium bonding<|im_end|>
<|im_start|>assistant
<think>
</think>
high proportion of amino acids in the protei... | 6,105 |
<|im_start|>user
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer Choices: (A) s.4529 (B) s.4586 (C) s.4597 (D) s... | 84,498 |
<|im_start|>user
5000 - 4500 ÷ 10.00 = ?
Answer Choices: (A) 4550 (B) 5000 (C) 0.5 (D) 4000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Given expression =5000 - 4500 ÷ 10.00
= 5000 - 450
= 4550
Correct Option: A
The answer is A<|endoftext|> | 89,552 |
<|im_start|>user
If 5^y+ 6^(y) = 61, which of the following is the value of y?
Answer Choices: (A) 5 (B) 1 (C) 3 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Plugging in the various option into the equation to find out which is correct:
5^y+ 6^(y) = 61
5^2+ 6^(2) = 61
The answer is E<|endoftext|> | 48,233 |
<|im_start|>user
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Answer Choices: (A) 2400 m^2 (B) 2420 m^2 (C) 2520 m^2 (D) 2640 m^2 (E) 2750 m^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol... | 76,071 |
<|im_start|>user
What type of compound is hydrogen chloride?
Answer choice: (A) polar (B) metal (C) covalent (D) ionic<|im_end|>
<|im_start|>assistant
<think>
</think>
The largest, most complex covalent molecules have thousands of atoms. Examples include proteins and carbohydrates, which are compounds in living thing... | 3,043 |
<|im_start|>user
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives?
Answer Choices: (A) 14700 (B) 14298 (C) 23877 (D) 27297 (E) 17281<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C = x. Then, B = x + 5000 a... | 34,809 |
<|im_start|>user
A fruit shake costs R 2,00 more than a chocolate milk shake. If 3 fruit shakes and 5 chocolate milk shakes cost R 78,00, determine the individual prices.
Answer Choices: (A) x=6,y=9 (B) x=4,y=4 (C) x=7,y=5 (D) x=5,y=11 (E) x=9,y=11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of a c... | 55,448 |
<|im_start|>user
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 34 cm?
Answer Choices: (A) 680 sq.cm (B) 268 sq.cm (C) 618 sq.cm (D) 297 sq.cm (E) 600 sq.cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect ... | 97,059 |
<|im_start|>user
What least number should be subtracted from 997 so that the remainder when divided by 5, 9, and 11 will leave in each case the same remainder 3 ?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
The LCM of 5,9 and 11 is 495. The next multiple is 2*495 = 9... | 9,844 |
<|im_start|>user
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is
Answer Choices: (A) 7 : 3 (B) 2 : 3 (C) 9 : 3 (D) 6 : 3 (E) 2 : 5<|im_end|>
<|im_start|>as... | 64,902 |
<|im_start|>user
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
Answer Choices: (A) 24 metric tonnes (B) 36 metric tonnes ... | 31,617 |
<|im_start|>user
What is the area of a triangle with the following vertices L(1, 3), M(5, 1), and N(2, 5) ?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use... | 51,272 |
<|im_start|>user
If y is an integer, then y(y - 1)( y- k) must be evenly divisible by three when k is any of the following values EXCEPT
Answer Choices: (A) -4 (B) -6 (C) -1 (D) 2 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
if we put k=-1 we get:
y(y-1)(y+1) rearrange:(y-1)y(y+1)
so it looks like a sequenc... | 88,601 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 4,077 |
<|im_start|>user
If the integer n has exactly four positive divisors, including 1 and n, how many positive divisors does n^2 have?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
take the example of 6...
it has 4 positive divisors (1,2,3,4)
Now, take the example of 36...... | 28,917 |
<|im_start|>user
Nine persons went to a hotel for taking their meals. Eight of them spent 15 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Answer Choices: (A) 115 (B) 117 (C) 119 (D) 122 (E) 144<|im_end|>
<|im_start|>assistant
<think... | 23,813 |
<|im_start|>user
Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence
Answer Choices: (A) 76 years (B) 88 years (C) 97 years (D) 20 years (E) 55 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Sachin's age today = 30 years.
Sachin's age 10 years bac... | 5,170 |
<|im_start|>user
An automobile manufacturer offers a station wagon with either a 14-cylinder engine or a 12-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 14-cylinder engine. How many combinations of the five option... | 43,048 |
<|im_start|>user
What are reversible physical changes in matter called?
Answer choice: (A) changes of state (B) chemical change (C) alterations (D) transformations<|im_end|>
<|im_start|>assistant
<think>
</think>
Changes of state are physical changes in matter. They are reversible changes that do not change matter’s ... | 4,942 |
<|im_start|>user
If 0.003^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
0.003^5= (3*10^-3)^5 = 243*10^-15 = 0.243*10^-12 which would have 12 zero... | 84,283 |
<|im_start|>user
What happens to light when it reflects from a rough surface?
Answer choice: (A) reflects (B) becomes isolated (C) becomes concentrated (D) gets diffused<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 25.5 Light is diffused when it reflects from a rough surface. Here many parallel rays are in... | 11,372 |
<|im_start|>user
One hour after Yolanda started walking from X to Y, a distance of 10 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
Answer Choices: (A) 24 (B) 23 (C) 22 (D) 21 (E) 4... | 44,179 |
<|im_start|>user
55 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Answer Choices: (A) 84 m (B) 88 m (C) 120 m (D) 70 m (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the length of the wire b h.
Radius = 1/2 mm = 1/20 cm. Then,
22/7 * ... | 68,079 |
<|im_start|>user
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Answer Choices: (A) 150 (B) 250 (C) 270 (D) 280 (E) 290<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number be x. Then la... | 61,090 |
<|im_start|>user
To fill an art exhibit, the peoples in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many peoples are in the art class?
Answer Choices: (A) 80 (B)... | 59,475 |
<|im_start|>user
Which of the following points is symmetric with y=x at (4,5)?
Answer Choices: (A) (-2,-1) (B) (-2,1) (C) (2,1) (D) (-1,-2) (E) (5,4) <|im_end|>
<|im_start|>assistant
<think>
</think>
We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse ... | 16,643 |
<|im_start|>user
A factory has a fixed cost of $43,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Answer Choices: (A) 9,000 (B) 14,000 (C) 17,200 (D) 22,500 (E) 27,000<|im_e... | 28,369 |
<|im_start|>user
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Answer Choices: (A) 10 (B) 20 (C) 5 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days
The an... | 89,857 |
<|im_start|>user
What is the diffference between the place value of 2 in the numeral 7229?
Answer Choices: (A) 150 (B) 160 (C) 180 (D) 190 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'C'
200 - 20 = 180
The answer is C<|endoftext|> | 27,289 |
<|im_start|>user
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 110 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and ... | 76,022 |
<|im_start|>user
What is an element that tend to be malleable?
Answer choice: (A) actinide (B) mixture (C) metal (D) lanthanide<|im_end|>
<|im_start|>assistant
<think>
</think>
Metals tend to be malleable. This means that they can be formed into thin sheets without breaking. An example is aluminum foil, also pictured... | 5,216 |
<|im_start|>user
When p is divided by 9, the remainder is 8. All of the following are possible values of p, except for which of the following?
Answer Choices: (A) 17 (B) 35 (C) 53 (D) 61 (E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
Four of these numbers can be expressed in the form of 9x+8, where x can be ... | 97,034 |
<|im_start|>user
In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Answer Choices: (A) 72 (B) 90 (C) 100 (D) 110 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Diver = (4*3)+2 = 14
2* Quotient = 14
Quoti... | 69,354 |
<|im_start|>user
What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
Answer Choices: (A) 70983 (B) 43893 (C) 43983 (D) 43883 (E) 43823<|im_end|>
<|im_start|>assistant
<think>
</think>
74330 Largest
30347 Smallest
-------------
43983
The answer is C<|endoftext... | 65,815 |
<|im_start|>user
3 events last together 240 days. Event A last as many seconds as event B in minutes, and event A last as many hours and event C in days. How long does event C last in days?
Answer Choices: (A) 170 days (B) 40 days (C) 204 days (D) 68 days (E) 60 days<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 57,413 |
<|im_start|>user
A trader has 400 kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?
Answer Choices: (A) 80kg (B) 100kg (C) 175kg (D) 320 kg (E) 400 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Out of 400, some quantit... | 4,647 |
<|im_start|>user
The value of (4x10^7)(7x10^8) is closest to which of the following?
Answer Choices: (A) 10^15 (B) 10^12 (C) 10^13 (D) 10^14 (E) 10^17<|im_end|>
<|im_start|>assistant
<think>
</think>
multiplying these we get,
28 x 10^7 x 10^8
= 2.8x 10^16
which is closer to 10^17
The answer is E<|endoftext|> | 73,645 |
<|im_start|>user
What is the outermost occupied shell of electrons in an atom.
Answer choice: (A) Inner Shell (B) radiative shell (C) modular shell (D) valence shell<|im_end|>
<|im_start|>assistant
<think>
</think>
The valence shell is the outermost occupied shell of electrons in an atom. This shell holds the valence... | 7,358 |
<|im_start|>user
What feature of the land do contour lines show?
Answer choice: (A) trails (B) flat surfaces (C) three-dimensional shape (D) bodies of water<|im_end|>
<|im_start|>assistant
<think>
</think>
Indeed, scientists discovered something astonishing. Many times in Earth’s history, the magnetic poles have swit... | 8,571 |
<|im_start|>user
At a conference table, 5 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these five employees?
Answer Choices: (A) 5 (B) 10 (C) 24 (D... | 11,796 |
<|im_start|>user
What is x if x + 2y = 10 and y = 3?
Answer Choices: (A) 10 (B) 8 (C) 6 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Substitute y by 3 in x + 2y = 10
x + 2(3) = 10
x + 6 = 10
If we substitute x by 4 in x + 6 = 10, we have 4 + 6 = 10.
x = 4
The answer is D<|endoftext|> | 22,233 |
<|im_start|>user
Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 222 runs?
Answer Choices: (A) 6 (B) 6.25 (C) 7.25 (D) 7.5 (E) 4.75<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run... | 20,522 |
<|im_start|>user
The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is?
Answer Choices: (A) 22 (B) 32 (C) 44 (D) 55 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
we can divide the trapezoid into two triangles and a rectangle
sides of triangle , t1 --> h1 =5 , b1 =3 , s1= ... | 60,294 |
<|im_start|>user
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
Answer Choices: (A) 22 (B) 24 (C) 26 (D) 25 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of workers employed to build the wall in 30 hours be y
48 * 15 = 30 * y
(48... | 50,935 |
<|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 the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 5,843 |
<|im_start|>user
If Susan takes 10 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Answer Choices: (A) xy/10 (B) 10x/(60y) (C) 60xy/10 (D) xy/540 (E) 540x/y<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B.
She runs x yards in 10x/y seconds =10x/60y minutes.... | 85,714 |
<|im_start|>user
The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 3 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least three ingredients? (Also assume that each bin can hold one and only one ble... | 37,141 |
<|im_start|>user
The function f is defined for all the positive integers d by the following rule: f(d) is the number of positive integers each of which is less than d and has no positive factor in common with d other than 1 . if p is a prime number then f(p)?
Answer Choices: (A) p-1 (B) p-2 (C) (p+1) /2 (D) (p-1) /2 (E... | 93,614 |
<|im_start|>user
The residents of the town Q participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town Q, watched t... | 88,620 |
<|im_start|>user
Mangala completes a piece of work in 10 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 8 days (B) 70/8 days (C) 12 days (D) 14 days (E) 16 days<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 23,796 |
<|im_start|>user
Five kilograms of oranges contained 90% of water. If the next day the concentration of water decreased by 10%, what was the new weight of the oranges, in kilograms?
Answer Choices: (A) 4.9 (B) 4.8 (C) 2.5 (D) 2 (E) 0.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Five kilograms of oranges co... | 72,856 |
<|im_start|>user
Find the area of circle whose radius is 4m?
Answer Choices: (A) 50.28 (B) 51.54 (C) 51.77 (D) 52.88 (E) 52.98<|im_end|>
<|im_start|>assistant
<think>
</think>
22/7 * 4 * 4
= 50.28
The answer is A<|endoftext|> | 55,376 |
<|im_start|>user
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1350, how much does he invest in 12% stock at Rs. 120?
Answer Choices: (A) s. 4000 (B) s. 4500 (C) s. 5500 (D) s. 6000 (E) s. 6500<|im_end|>
<|im_start|>assistan... | 54,858 |
<|im_start|>user
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Answer Choices: (A) 22 (B) 28 (C) 15 (D) 18 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P(1 + R/100)5 = 2P => (1 + R/100)5 = 2
Let P(1 + R/1... | 46,561 |
<|im_start|>user
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Answer Choices: (A) 31.9 (B) 31.7 (C) 31.6 (D) 31.5 (E) 31.1<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(80/100)*(90/100)*(95/100) = 68.4
100 - 68.4 = 31.6
The answer is C<|endoftext|> | 49,602 |
<|im_start|>user
Different types of home heating systems all function by producing what type of energy?
Answer choice: (A) electron (B) natural (C) thermal (D) distinct<|im_end|>
<|im_start|>assistant
<think>
</think>
Types of home heating systems include hot-water, warm-air, and solar heating systems. All of them ha... | 5,394 |
<|im_start|>user
A man has a savings account of $500. if he receives $50.6 for every $100 as interest and pays a tax of $15.5 on every $100 how many years will it take for his savings to double.
Answer Choices: (A) 2.85 (B) 5 (C) 4.1 (D) 3.5 (E) 5.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Annual increase is ... | 63,128 |
<|im_start|>user
Mechanical churning of food in what organ serves to further break it apart and expose more of its surface area to digestive juices, creating an acidic “soup” called chyme?
Answer choice: (A) liver (B) kidneys (C) gall bladder (D) stomach<|im_end|>
<|im_start|>assistant
<think>
</think>
saliva. Althou... | 5,757 |
<|im_start|>user
The least common multiple of positive integer f and 3-digit integer n is 690. If n is not divisible by 3 and f is not divisible by 2, what is the value of n?
Answer Choices: (A) 115 (B) 230 (C) 460 (D) 575 (E) 690<|im_end|>
<|im_start|>assistant
<think>
</think>
The LCM of n and f is 690 = 2*3*5*23.
... | 48,251 |
<|im_start|>user
How many major massive extinctions have been since life began on earth?
Answer choice: (A) three (B) five (C) four (D) one<|im_end|>
<|im_start|>assistant
<think>
</think>
Since life began on Earth, there have been at least five major massive extinctions.
The answer is B<|endoftext|> | 3,844 |
<|im_start|>user
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 50 and the maximum mark was 100. It is also known that none of the students failed. If each of the to... | 64,986 |
<|im_start|>user
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 14 and 15. The larger of the two numbers is:
Answer Choices: (A) 338 (B) 278 (C) 345 (D) 231 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, the numbers are (23 * 14) and (23 * 15). Larger number
= (23 * 15)... | 11,338 |
<|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... | 1,087 |
<|im_start|>user
What is the units digit of 17^83 × 13^82 × 11^83?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
To find : the units digit of 17^83 × 13^82 × 11^87
Let's reduce the clutter and simplify the product
(7^83) (3^82) (1^87)
7 has a cyclicity of 4 : the last ... | 69,733 |
<|im_start|>user
When x is divided by y, the quotient is q with remainder r. Which of the following is y in terms of r, x, and q? (Assume both y and q are nonzero.)
Answer Choices: (A) x – r – q (B) (x+r) /q (C) x/q−r (D) (x−r) /q (E) xr – q<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that when x is divide... | 19,220 |
<|im_start|>user
One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
Answer Choices: (A) 35;36 (B) 7 : 8 (C) 7 : 4 (D) 14 : 5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
<... | 57,241 |
<|im_start|>user
If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?
Answer Choices: (A) 87 (B) 40 (C) 37 (D) 28 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
A.M. of 75 numbers = 35
Sum of 75 numbers = 75 * 35 = 2625
Total in... | 96,325 |
<|im_start|>user
The angle between the minute hand and the hour hand of a clock when the time is 8:30
Answer Choices: (A) 80 deg (B) 40 deg (C) 35 deg (D) 75 deg (E) 60 deg<|im_end|>
<|im_start|>assistant
<think>
</think>
angle traced hr hand 17/2 hrs = 300/12 * 17/2 = 255
angle by min 30 min (360/60*30)=180
req = 25... | 71,688 |
<|im_start|>user
A florist has 2 azaleas, 3 buttercups, and 7 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
Answer Choices: (A) 7/11... | 12,470 |
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