text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
If q > a and L < a, which of the following cannot be true?
Answer Choices: (A) d + L = 14 (B) d - L = 7 (C) d - L = 1 (D) a - q = 9 (E) a + d = 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Is the answer D?
If q>a, then q-a>0 (always positive). The converse would be a-q<0 (always negative).... | 70,985 |
<|im_start|>user
Solve
(x-a)*(x-b)*(x-c)*...........(x-z)=?
Answer Choices: (A) -1 (B) 0 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(x-a)*(x-b)*(x-c)*...........(x-z)
= (x-a)*(x-b)*(x-c)*...........(x-x)*(x-y)*(x-z)
since (x-x)=0 so, whole product is zero
(x-a)*(x-b)*(x-c)*...........(x-z )= 0... | 21,110 |
<|im_start|>user
1/2+[(2/11*11/32)+1]-9/16=
Answer Choices: (A) 29/16 (B) 19/16 (C) 15/16 (D) 9/13 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 - [(2/11*11/32) + 1] + 9/16 =
1/2 - [(1/16) + 1] + 9/16 =
1/2 - [17/16] + 9/16 =
8/16 - 17/16 + 9/16 = 0
The answer is E<|endoftext|> | 93,032 |
<|im_start|>user
What do jellyfish use to startle predators?
Answer choice: (A) black light (B) bicellular light (C) harsh light (D) visible light<|im_end|>
<|im_start|>assistant
<think>
</think>
Bioluminescent organisms include jellyfish and fireflies. Jellyfish give off visible light to startle predators. Fireflies... | 7,841 |
<|im_start|>user
If you have 8 New Year greeting cards and you want to send them to 6 of your friends, in how many ways can this be done?
Answer Choices: (A) 20160 (B) 22100 (C) 23000 (D) 24500 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
We have to find number of permutations of 6 objects out o... | 74,676 |
<|im_start|>user
A sum of Rs 12,500 amounts to Rs. 15,500 in the 4 years at the rate of simple interest. Find the rate percent
Answer Choices: (A) 6 % (B) 7 % (C) 8 % (D) 9 % (E) 10 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
S.I.=P∗R∗T/100=>R=S.I.∗100/P∗T
So, S.I = 15500 - 12500 = 3000.
=>R=3000∗... | 11,542 |
<|im_start|>user
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Answer Choices: (A) 0.555X (B) 0.667X (C) 0.765X (D) 0.905X (E) 1.2... | 36,890 |
<|im_start|>user
In a business Ram invests Rs.60,000. After 6 months his uncle invests Rs.40,000. After one year they got a profit of Rs.12,000. Then uncle gets his share as
Answer Choices: (A) Rs.2500 (B) Rs.2000 (C) Rs.1000 (D) Rs.3000 (E) Rs.4000<|im_end|>
<|im_start|>assistant
<think>
</think>
ram=60,000(12months... | 35,051 |
<|im_start|>user
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Answer Choices: (A) 1:2 (B) 1:5 (C) 1:4 (D) 1:1 ... | 85,377 |
<|im_start|>user
In a river flowing at 2 km/hr, a boat travels 64 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Answer Choices: (A) 10 hours (B) 12 hours (C) 14 hours (D) 24 hours (E) None of these<|im_end|>
<|im_start|>assistant
<thi... | 74,452 |
<|im_start|>user
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 878 in 4 years. The sum is:
Answer Choices: (A) 500 (B) 698 (C) 626 (D) 910 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
S.I. for 1 year = Rs. (878 - 815) = Rs. 63.
S.I. for 3 years = Rs. (63 * 3) = Rs. 189.
... | 95,341 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) Rs.1000 (B) Rs.1140 (C) Rs.860 (D) Rs.760 (E) Rs.500<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
90%
104%
--------
14% ---- 140
100% ---... | 45,017 |
<|im_start|>user
If q = 25! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 23
Answer Choices: (A) I only (B) III only (C) II and III (D) I and II (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
The numbers 11, 19, and 23 are all factors of 25!
Therefore they can not... | 7,712 |
<|im_start|>user
Selling an kite for Rs. 30, a shop keeper gains 15%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Answer Choices: (A) 3.5% (B) 10% (C) 11% (D) 15% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Marked... | 18,544 |
<|im_start|>user
What is the volume of an tetrahedron with edge length of 1?
Answer Choices: (A) sqr(2) /12 = 0.11785113 (B) sqr(2) /14=0.13571785 (C) sqr(2) /12=0.15798562 (D) sqr(2) /13=0.21254478 (E) sqr(2) /12=0.12457896<|im_end|>
<|im_start|>assistant
<think>
</think>
The following can be derived using the Pytha... | 29,895 |
<|im_start|>user
A taxi leaves Point A 4 hours after a bus left the same spot. The bus is traveling 30 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in two hours.
Answer Choices: (A) 40 (B) 42 (C) 45 (D) 48 (E) 49<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of bus be... | 50,684 |
<|im_start|>user
The domain geometry for a molecule with four electron pairs is called what?
Answer choice: (A) tetrahedral (B) bent (C) trigonal planar (D) linear<|im_end|>
<|im_start|>assistant
<think>
</think>
As for methane and ammonia, the domain geometry for a molecule with four electron pairs is tetrahedral. I... | 5,243 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
In a title, capitalize the first word, the last word, and every important word in between.
The Wind in the Willows James and the Giant Peach
These words are not important in titles:
Articles, a, an, the
Short prepositions, s... | 719 |
<|im_start|>user
A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 400,000?
Answer Choices: (A) 200 (B) 216 (C) 300 (D) 400 (E) 2,500<... | 68,404 |
<|im_start|>user
Forty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Answer Choices: (A) 60 (B) 70 (C) 100 (D) 120 (E) 140<|im... | 25,470 |
<|im_start|>user
While driving from A-ville to B-town, Harriet drove at a constant speed of 90 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 160 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive... | 35,214 |
<|im_start|>user
What is liquid water falling from the sky called?
Answer choice: (A) snow (B) clouds (C) rain (D) evaporation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 3,441 |
<|im_start|>user
A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is
Answer Choices: (A) 7000 (B) 8000 (C) 9000 (D) 10000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 24,969 |
<|im_start|>user
If 200 lb of a mixture contain 80% husk and 20% sand. Then how much husk needs to be extracted in order to have 75% concentration of Husk?
Answer Choices: (A) 1/4 (B) 20/3 (C) 1/2 (D) 40 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to extract 40 lb of husk.
80 % of 200 = 160
20 % o... | 11,507 |
<|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.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 735 |
<|im_start|>user
Gold is 10 times as heavy as water and copper is 6 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
Answer Choices: (A) 3:2 (B) 1:1 (C) 3:1 (D) 5:2 (E) 4:3<|im_end|>
<|im_start|>assistant
<think>
</think>
G = 10W
C = 6W
Let 1gm of gold mixed with... | 89,244 |
<|im_start|>user
What were the first photosynthetic organisms on earth?
Answer choice: (A) mosses (B) bacteria (C) trees (D) fungi<|im_end|>
<|im_start|>assistant
<think>
</think>
Plants aren't the only organisms that use the energy of the sun to make food. Some bacteria can also perform photosynthesis. In fact, the ... | 2,801 |
<|im_start|>user
How many different sets of positive square integers K, each greater than 1, add up to 75?
Answer Choices: (A) 1 (B) 4 (C) 7 (D) 11 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
E = 13 is the
The answer is E<|endoftext|> | 68,846 |
<|im_start|>user
How many possible different bus routes are available in a metro city ? Suppose the bus route numbers consist of a natural number less than 100, followed by one of the letters U,V,W,X,Y and Z.
Answer Choices: (A) 500 (B) 550 (C) 564 (D) 594 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</th... | 48,031 |
<|im_start|>user
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the E odds that x^2+y^2>1?
Answer Choices: (A) 1. pi/4 (B) 2. E=pi/16 (C) 3. E=1-pi/4 (D) 4. 1-pi/16 (E) 5.4-pi<|im_end|>
<|im_start|>assistant
<think>
</think>
area ... | 23,144 |
<|im_start|>user
There are 60 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 22 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
Answer Choices: (A) 20 (B) 31 (C) 41 (D) 53 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
x ... | 27,515 |
<|im_start|>user
What is a form of matter that has a definite shape and volume?
Answer choice: (A) plasma (B) gas (C) liquid (D) solid<|im_end|>
<|im_start|>assistant
<think>
</think>
A solid is a form of matter that has a definite shape and volume. The shape of a solid does not change if it is transferred from one c... | 8,442 |
<|im_start|>user
Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X
Answer Choices: (A) 30 (B) 29 (C) 34 (D) 21 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
C
list of consecutive numbers that has an 'f' in the spelling
The answer is C<|endoftext|> | 10,124 |
<|im_start|>user
The 100-milliliter solution of sugar and water is 21% sugar. How much water (in milliliters) must be added to make a solution that is 12% sugar?
Answer Choices: (A) 55 (B) 60 (C) 65 (D) 70 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
In the original solution the amount of sugar is 0.21*100... | 97,260 |
<|im_start|>user
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Answer Choices: (A) 200 % (B) 75 % (C) 150 % (D) 50 % (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp... | 96,503 |
<|im_start|>user
Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?
Answer Choices: (A) 2388 (B) 2088 (C) 3600 (D) 2028 (E) 1911<|im_end|>
<|im_start|>assistant
<think>... | 51,045 |
<|im_start|>user
If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have?
Answer Choices: (A) 7 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
take the example of 4...
it has 3 positive divisors (1,2,4)
Now, take the example of 64...
... | 4,587 |
<|im_start|>user
A grocer has a sale of Rs. 4000, Rs. 6524, Rs. 5689, Rs. 7230 and Rs. 6000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7000?
Answer Choices: (A) s. 12557 (B) s. 14993 (C) s. 15560 (D) s. 12589 (E) s. 12500<|im_end|>
<|im_start|>assistan... | 14,329 |
<|im_start|>user
The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Answer Choices: (A) 17 (B) 16 (C) 15 (D) 10 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
I think brute force with some common sense should be used to solve this pro... | 70,353 |
<|im_start|>user
When a natural number N is successively divided by 10,20,30,40. the remainders are 50,60,70,80. What will be the sum of the remainders if the order of the division is reversed?
Answer Choices: (A) 16 (B) 14 (C) 28 (D) 11 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
10 20 30 40
50 60 70 80
l... | 49,506 |
<|im_start|>user
Carrier proteins bind and carry the molecules across what cell structure?
Answer choice: (A) nucleus (B) cell membrane (C) cell wall (D) plastid<|im_end|>
<|im_start|>assistant
<think>
</think>
Carrier proteins bind and carry the molecules across the cell membrane. These proteins bind a molecule on o... | 628 |
<|im_start|>user
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 439,000 copies of the novel were sold... | 69,420 |
<|im_start|>user
IT COSTS RE 1.TO PHOTOGRAPHY A SHEET OF PAPER. HOWEVER, 2% DISCOUNT IS ALLOWED ON ALL PHOTOCOPIES DONE AFTER FIRST 100 SHEETS.HOW MUCH WILL IT COST TO COPY 5000 SHEETS OF PAPER?
Answer Choices: (A) RS.3920 (B) RS.3980 (C) RS.4900 (D) RS.4920 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</... | 56,088 |
<|im_start|>user
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Answer Choices: (A) 20000 (B) 10000 (C) 25000 (D) 34000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</thin... | 75,160 |
<|im_start|>user
2 dice are tossed. What is the probability that the total score is a prime no. is?
Answer Choices: (A) 3/11 (B) 5/12 (C) 7/15 (D) 3/13 (E) 2/13<|im_end|>
<|im_start|>assistant
<think>
</think>
5/12
B
The answer is B<|endoftext|> | 32,802 |
<|im_start|>user
What is the sum of the multiples of 3 from 33 to 60, inclusive?
Answer Choices: (A) 465 (B) 470 (C) 452 (D) 450 (E) 460<|im_end|>
<|im_start|>assistant
<think>
</think>
The formula we want to use in this type of problem is this:
Average*Total Numbers=Sum
First, find the average by taking the sum of t... | 86,631 |
<|im_start|>user
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 70, 10 kmph (B) 35, 27 kmph (C) 50, 60 kmph (D) 45, 55 kmph (E) 45, 65 kmph<|im_end|>
<|im_start|>assistant
<think>
</t... | 61,196 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 6 units?
Answer Choices: (A) 140 (B) 84 (C) 88 (D) 72 (E) 12<... | 34,302 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Answer Choices: (A) 18% (B) 19% (C) 28% (D) 38% (E) 58%<|im_end|>
<|im_start|>assistant
<think>
</think>
1500 ---- 270
100 ---- ? => 18%
The answer is A<|endoftext|> | 38,722 |
<|im_start|>user
6 points are marked on a straight line and another 7 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Answer Choices: (A) 9 (B) 105 (C) 196 (D) 21 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</thin... | 95,055 |
<|im_start|>user
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find th... | 7,838 |
<|im_start|>user
8^100 is divisible by 17. Find the remainder?
Answer Choices: (A) 10 (B) 12 (C) 16 (D) 21 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an extremely difficult problem to solve with out Fermat's little theorem. By applying Fermat's little theorem , We know that 816 when divided by 17... | 17,376 |
<|im_start|>user
Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 50 miles per hour while Alice drives 80 miles per hour. After 5 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?
Answer Choices: (A) 2 p.m. (B) 3... | 16,709 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 3,144 |
<|im_start|>user
Major climate types are based on what two things?
Answer choice: (A) topography & temperature (B) temperature & precipitation (C) environment & precipitation (D) oxygen & precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Major climate types are based on temperature and precipitation. The... | 11,588 |
<|im_start|>user
A pump can fill a tank with water in 2 hours. Because of a leak, it took 4 hours to fill the tank. The leak can drain all the water in ?
Answer Choices: (A) 2hr (B) 1hr (C) 3hr (D) 4hr (E) 6hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by the leak in 1 hour = 1/2 - 1/4 = 1/4
Leak will... | 21,397 |
<|im_start|>user
What makes viral stis more dangerous than other types?
Answer choice: (A) they are more contagious (B) they are incurable (C) they are larger (D) they are more severe<|im_end|>
<|im_start|>assistant
<think>
</think>
This is the Human Papilloma Virus, which causes a viral STI. Viral STIs can be especi... | 5,969 |
<|im_start|>user
During a two-week period, the price of an ounce of silver increased by 5 percent by the end of the first week and then decreased by 10 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in ... | 45,858 |
<|im_start|>user
What are the nonliving aspects of the environment called?
Answer choice: (A) metastatic factors (B) nucleic factors (C) antibiotic factors (D) abiotic factors<|im_end|>
<|im_start|>assistant
<think>
</think>
Abiotic factors are the nonliving aspects of the environment. They include factors such as su... | 10,054 |
<|im_start|>user
Simple interest at x% for x years will come out to be Rs x on a sum of Rs?
Answer Choices: (A) 109/x (B) 130/x (C) 100/x (D) 120/x (E) 101/x<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Formula for Simple Interest:
SI = Principal*Rate*Time
SI= x
Rate= x/100
Time= x
=> x= Principal*(x... | 1,846 |
<|im_start|>user
If the function Q is defined by the formula Q = 5w/(4d(z^2)), by what factor will Q be multiplied if w is quadrupled, d is doubled, and z is tripled?
Answer Choices: (A) 1/9 (B) 2/9 (C) 4/9 (D) 3/9 (E) 2/27<|im_end|>
<|im_start|>assistant
<think>
</think>
We just need to find the factor thats all,
w ... | 36,385 |
<|im_start|>user
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be?
Answer Choices: (A) 10 m (B) 12.5 m (C) 12m (D) 13 m (E) 14 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the height of the building ... | 68,518 |
<|im_start|>user
5, 11, 17, 25, 33, 43, ?
Answer Choices: (A) 44 (B) 26 (C) 58 (D) 59 (E) 53<|im_end|>
<|im_start|>assistant
<think>
</think>
E
53
The sequence is +6, +6, +8, +8, +10, ....
The answer is E<|endoftext|> | 24,750 |
<|im_start|>user
If x/y=4 and y is not '0' what % of x is 2x-y
Answer Choices: (A) 150% (B) 175% (C) 200% (D) 250% (E) 350%<|im_end|>
<|im_start|>assistant
<think>
</think>
let z be the percentt
x*z/100=2x-y
zx=7y*100
z=700y/4y
z=350/2
z=175%
The answer is B<|endoftext|> | 26,222 |
<|im_start|>user
What will come in place of the x in the following Number series? 5,28,57,88,125, x
Answer Choices: (A) 120 (B) 143 (C) 166 (D) 170 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
The answer is C<|endoftext|> | 31,088 |
<|im_start|>user
Coins are to be put into 6 pockets so that each pocket contains at least one coin. At most 2 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
Answer Cho... | 70,335 |
<|im_start|>user
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Answer Choices: (A) 6500 (B) 2500 (C) 5000 (D) 10000... | 69,991 |
<|im_start|>user
The H.C.F. of two numbers is 63 and the other two factors of their L.C.M. are 11 and 17. The larger of the two numbers is:
Answer Choices: (A) 3421 (B) 2132 (C) 1111 (D) 4323 (E) 1071<|im_end|>
<|im_start|>assistant
<think>
</think>
: Explanation:
Clearly, the numbers are (63 x 11) and (63 x 17).
{\c... | 78,039 |
<|im_start|>user
If e + xy = e and x is not equal to 0, which of the following must be true?
Answer Choices: (A) x<y (B) x+y=0 (C) x=e (D) x=0 (E) y=0<|im_end|>
<|im_start|>assistant
<think>
</think>
e + xy = e --> xy=0. Since x is not equal to 0, thus y = 0.
The answer is E<|endoftext|> | 75,460 |
<|im_start|>user
If x is negative and y is positive, which of the following cannot be positive?
Answer Choices: (A) -xy (B) x^2/y (C) x^4/y (D) -x^3*y (E) -x/-y<|im_end|>
<|im_start|>assistant
<think>
</think>
- * - = +
+ / - = -
-x/-y is negative.
The answer is E<|endoftext|> | 8,175 |
<|im_start|>user
3/4 of 1/2 of 2/5 of 5000 = ?
Answer Choices: (A) 392 (B) 229 (C) 753 (D) 750 (E) 540<|im_end|>
<|im_start|>assistant
<think>
</think>
D
750
? = 5000 * (2/5) * (1/2) * (3/4) = 750
The answer is D<|endoftext|> | 41,288 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 3,485 |
<|im_start|>user
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/3 the number of cans that Karen collected and 1/4 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Kar... | 87,781 |
<|im_start|>user
The average age of 36 students in a group is 15 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Answer Choices: (A) 35 years (B) 45 years (C) 52 years (D) 54 years (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 29,292 |
<|im_start|>user
A car moves at 92 km/hr. What is the speed of the car in meters per second ?
Answer Choices: (A) 20 2/9m sec (B) 22 2/9m sec (C) 25 5/9m sec (D) 26 2/9m sec (E) 28 2/9m sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed=(92∗5/18)m/sec
=230/9 m/sec
=25 5/9msec
Option C
The answer ... | 85,236 |
<|im_start|>user
Sum of three numbers 274, If the first number be twice then second and third number be one third of the first, then the second number is
Answer Choices: (A) A) 70 (B) B) 71 (C) C) 75 (D) D) 73 (E) E) 74<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the second number is x, then fir... | 71,695 |
<|im_start|>user
Maddie has 18 apples, if she give 12 to mike, how many does she have left?
Answer Choices: (A) 1 (B) 6 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
18-12=6
B. 6
The answer is B<|endoftext|> | 85,014 |
<|im_start|>user
The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Answer Choices: (A) 4 (B) 8 (C) 5 (D) 2 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number... | 41,161 |
<|im_start|>user
Conversely, very large forces are created by liquids and solids when they try to expand but are constrained from doing so—which is equivalent to compressing them to less than their normal volume. this often occurs when a contained material warms up, since most materials expand when they do this?
Answer... | 8,914 |
<|im_start|>user
Which of the following is(are) true for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b+1)(a-b)
III. a@b=(a/b)+(b/a)
Answer Choices: (A) only Ⅰ (B) only Ⅱ (C) only Ⅲ (D) only ⅠⅢ (E) only ⅡⅢ<|im_end|>
<|im_start|>assistant
<think>
</think>
-> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (O).
If II. a@b=(a+b+1)(a-b), a@b=(... | 35,921 |
<|im_start|>user
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 140 marks, the no of questions he attempts correctly is :
Answer Choices: (A) 35 (B) 38 (C) 40 (D) 42 (E) 44<|im_end|>
<|im_start|>assistant
<think>
... | 83,276 |
<|im_start|>user
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.4500. How much third person will get?
Answer Choices: (A) 2400 (B) 2429 (C) 2980 (D) 2000 (E) 2872<|im_end|>
<|im_start|>ass... | 72,911 |
<|im_start|>user
Product of two natural numbers is 7. Then, the sum of reciprocals of their squares is
Answer Choices: (A) 50/49 (B) 1/289 (C) 290/90 (D) 290/19 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
If the numbers are a, b, then ab = 7,
as 17 is a prime number, so a = 1, b = ... | 19,542 |
<|im_start|>user
If f is a function defined for all k by f(k) = k^5 /16, what is f(3k) in terms of f(k)?
Answer Choices: (A) 1/8 f(k) (B) 5/8 f(k) (C) 244 f(k) (D) 243 f(k) (E) 323 f(k) <|im_end|>
<|im_start|>assistant
<think>
</think>
f(k) = k^5 /16
f(3k) = (3k)^5/16 = 243 * k^5 /16 = 243 * (k^5 /16) = 243 f(k).... | 87,224 |
<|im_start|>user
The average of 1st 3 of 4 numbers is 7 and of the last 3 are 5. If the sum of the first and the last number is 13. What is the last numbers?
Answer Choices: (A) 4 (B) 5 (C) 3.5 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
A + B + C = 21
B + C + D = 15
A + D = 13
A – D = 6
A + D = 13
2... | 71,804 |
<|im_start|>user
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Answer Choices: (A) 10 days (B) 11 days (C) 13 days (D) 15 days (E) 12 days<|im_end|>
<|im_start|>assistant
<... | 32,769 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms that carry out photosynthesis are called photosynthetic organisms. During photosynthesis, these organisms use light energy, carbon dioxide, and water to produce sugars and oxygen.
Photosynthetic organisms also ofte... | 2,070 |
<|im_start|>user
A train , having a length of 275 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Answer Choices: (A) 10 sec (B) 8 sec (C) 15 sec (D) 4 sec (E) 2 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 7,002 |
<|im_start|>user
A bag has 1, 3, 5, 7, 9,11 and 13 cm sticks. Find the probability that they they will form a triangle if 3
sticks are drawn?
Answer Choices: (A) 13 / 35 (B) 14 / 35 (C) 1 / 2 (D) 5 / 6 (E) 5 / 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total Cases: =7C3=35
Favourable Cases: (3,5... | 20,396 |
<|im_start|>user
A drink vendor has 60 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Answer Choices: (A) 135 (B) 137... | 54,856 |
<|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.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 4,396 |
<|im_start|>user
The waves on the strings of musical instruments are transverse—so are electromagnetic waves, such as visible light. sound waves in air and water are this?
Answer choice: (A) symmetrical (B) hydroelectric (C) longitudinal (D) horizontal<|im_end|>
<|im_start|>assistant
<think>
</think>
Waves may be tra... | 4,473 |
<|im_start|>user
If the rectangular screen of a computer monitor is designed to have a length of x inches, a perimeter of P inches and an area of A square inches, which of these equations must be true?
Answer Choices: (A) x^2 + Px + A = 0 (B) x^2 - Px - 2A = 0 (C) 2x^2 + Px + 2A = 0 (D) 2x^2 - Px - 2A = 0 (E) 2x^2 - Px... | 1,586 |
<|im_start|>user
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours?
Answer Choices: (A) 25 (B) 35 (C) 45 (D) 55 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
45 workers * 8 hours / 30 meters = x * 6 / 45
x =... | 35,365 |
<|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... | 4,950 |
<|im_start|>user
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
Answer Choices: (A) 15 (B) 20 (C) 25 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let's take the present age of ... | 1,348 |
<|im_start|>user
If logx (base 27) +logx (base 9) +logx (base3) =11 then find the value of x?
Answer Choices: (A) 3^4 (B) 3^3 (C) 3^5 (D) 3^6 (E) 3^9<|im_end|>
<|im_start|>assistant
<think>
</think>
logx(base 3)=Y
Now logx(base27)=logx(3^3 base)=1/3 logx(base3)=1/3 Y
Also logx(base 9)=1/2 logx(base3)=1/2 Y
Now as giv... | 30,303 |
<|im_start|>user
If 3^x*4^y = 531,441 and x – y = 12, then x = ?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 531,441 is an odd number, it is not a multiple of 4.
This means that y must equal zero.
Since x - y = 12 and y = 0, then x = 12.
The answer is C<|e... | 32,535 |
<|im_start|>user
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer Choices: (A) 100 (B) 125 (C) 122.2 (D) 105.5 (E) 65<|im_end|>
... | 45,544 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Complete the sentence.
The Eighth Amendment says that the government cannot use any punishments that are ().
Answer Choices: (A) cruel and unusual (B) embarrassing (C) violent (D) expensive<|im_end|>
<|im_start|>... | 4,262 |
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