text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A candidate appearing for an examination has to secure 55% marks to pass paper I. But he secured only 45 marks and failed by 25 marks. What is the maximum mark for paper I?
Answer Choices: (A) 127 (B) 120 (C) 130 (D) 140 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
he secured 45 marks nd ... | 59,396 |
<|im_start|>user
If the cost price of 50 articles is equal to the selling price of 35 articles, then the gain or loss percent is?
Answer Choices: (A) 16 (B) 127 (C) 12 (D) 18 (E) 43<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentage of profit = 15/35 * 100 = 43%
The answer is E<|endoftext|> | 89,916 |
<|im_start|>user
Dacid obtained 96, 98, 99, 100 and 98 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Answer Choices: (A) 79 (B) 99 (C) 88 (D) 88 (E) 98<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = (96+98+ 99+100+98)/5
= 491/5 = 98.
The answer is ... | 49,723 |
<|im_start|>user
5,6,8,11,?,20,26,33
Answer Choices: (A) 10 (B) 13 (C) 15 (D) 8 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
The Pattern is + 1, + 2, +3, ...
11+4=15
The answer is C<|endoftext|> | 24,868 |
<|im_start|>user
64 + 5 * 12 / (180/3) = ?
Answer Choices: (A) 22 (B) 77 (C) 29 (D) 65 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
64 + 5 * 12 / (180/3) = 64 + 5 * 12 / (60)
= 64 + (5 * 12)/60 = 64 + 1 = 65.
The answer is D<|endoftext|> | 82,290 |
<|im_start|>user
An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Answer Choices: (A) 10hours (B) 12hours (C) 8hours (D) 5hours (E) 15hours<|im_end|>
<|im_start|>assistant
<think>
</think>
W... | 28,126 |
<|im_start|>user
When electricity is passed through solid sodium it changes into what and gives off light?
Answer choice: (A) plasma (B) liquids (C) gas (D) hydrocarbons<|im_end|>
<|im_start|>assistant
<think>
</think>
A vapor light also produces visible light by electroluminescence The bulb contains a small amount o... | 3,241 |
<|im_start|>user
The sequence of bases in a gene translates to the sequence of what protein components?
Answer choice: (A) protein acids (B) rna acids (C) amino acids (D) molecular acids<|im_end|>
<|im_start|>assistant
<think>
</think>
3.4 | Protein Synthesis By the end of this section, you will be able to: • Explain... | 4,169 |
<|im_start|>user
The value of x + x(xx) when x = 2 is:
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
The answer is B<|endoftext|> | 57,851 |
<|im_start|>user
Positive integer x has z factors; 3x has 3 factors; Which of the following values can z take?
I. 1
II. 2
III. 3
Answer Choices: (A) I or II (B) I only holds (C) II only holds (D) II or III (E) I or III<|im_end|>
<|im_start|>assistant
<think>
</think>
Squares have odd number of factors.The square whic... | 36,448 |
<|im_start|>user
Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in
Answer Choices: (A) 9 (B) 8 (C) 4 (D) 3 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let x men can do the in 12 days and the required number of days be z
More men, ... | 85,841 |
<|im_start|>user
A train covers a distance in 1 h 40 min, if it runs at a speed of 96 km/h on an average. Find the speed at which the train must run reduce the time of journey to 1 h 20 min.
Answer Choices: (A) 120 km/h (B) 90 km/h (C) 144 km/h (D) 150 km/h (E) 160 km/h<|im_end|>
<|im_start|>assistant
<think>
</think>... | 91,288 |
<|im_start|>user
In a bowl, the no. of marbles gets doubled after every minute. if the bowl gets filled after two hours of such process, how long do you think it will take for it to be half filled?
Answer Choices: (A) 1 hr 48 mins (B) 1 hr 39 mins (C) 1 hr 49 mins (D) 1hr 59 mis (E) 1 hr 58 mins<|im_end|>
<|im_start|>a... | 93,464 |
<|im_start|>user
In a BCCI meeting there are 15 people. All shake hands with each other once. How many handshakes will be there altogether?
Answer Choices: (A) 28 (B) 14 (C) 15 (D) 19 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
There will be n-1 handshakes as A person will shake hands with all the other m... | 34,819 |
<|im_start|>user
What kind of phenotype results in a case of incomplete dominance?
Answer choice: (A) short phenotype (B) intermediate phenotype (C) backward phenotype (D) long phenotype<|im_end|>
<|im_start|>assistant
<think>
</think>
1. Define energy, and state where living things get the energy they need.
The answ... | 9,897 |
<|im_start|>user
The total cost of 100 paper plates and 200 paper cups is $4.50 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
Answer Choices: (A) $.90 (B) $1.00 (C) $1.20 (D) $1.50 (E) $1.60<|im_end|>
<|im_start|>assistant
<think>
</think>
U dont need to go through all this
What u h... | 42,363 |
<|im_start|>user
What are made from highly reflective metal that is applied to a curved or flat piece of glass?
Answer choice: (A) mirrors (B) lenses (C) kaleidoscopes (D) prisms<|im_end|>
<|im_start|>assistant
<think>
</think>
Mirrors are made from highly reflective metal that is applied to a curved or flat piece of... | 151 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 4,877 |
<|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 700,000?
Answer Choices: (A) 60 (B) 100 (C) 180 (D) 240 (E) 300<|im... | 58,953 |
<|im_start|>user
What type of salts are secreted into the small intestine to aid in the digestion of fats?
Answer choice: (A) zinc (B) bile (C) Table Salt (D) sodium<|im_end|>
<|im_start|>assistant
<think>
</think>
Bile salts are secreted into the small intestine to aid in the digestion of fats.
The answer is B<|endo... | 11,196 |
<|im_start|>user
A car moves at 98 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) 24 2/9m sec (D) 27 2/9m sec (E) 28 2/9m sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed=(98∗5/18)m/sec
=245/9 m/sec
=27 2/9msec
Option D
The answer ... | 37,707 |
<|im_start|>user
1397 x 1397 = ?
Answer Choices: (A) 1951000 (B) 1951500 (C) 1951509 (D) 1951511 (E) 1951609<|im_end|>
<|im_start|>assistant
<think>
</think>
1397 x 1397 = (1397)^2
= (1400 - 3)^2
= (1400)2 + (3)2 - (2 x 1400 x 3)
= 1960000 + 9 - 8400
= 1960009 - 8400
= 1951609.
E)
The answer is E<|endoftext|> | 4,960 |
<|im_start|>user
If the circumference of a circle is 200 units, Then what will the length of the arc described by an angle of 20 degree ?
Answer Choices: (A) 11.11 (B) 11.89 (C) 11.1 (D) 11.18 (E) 11.19<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The angle formed by a circle is 360 degrees.
Length o... | 17,666 |
<|im_start|>user
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Answer Choices: (A) 176 ways (B) 500 ways (C) 178 ways (D) 198 ways (E) 156 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
We can select one boy from 20 boys in 20 ways.
We select one girl from 25 gir... | 23,926 |
<|im_start|>user
A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 5 meters apart,then at what speed is the train traveling?
Answer Choices: (A) 100km/hr (B) 110km/hr (C) 50km/hr (D) 150km/hr (E) 200km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of gaps bet... | 33,094 |
<|im_start|>user
How long will it take a train travelling at 98kmph to pass an electric pole if the train is 140 m long
Answer Choices: (A) 6.15 (B) 5.15 (C) 3.15 (D) 1.15 (E) 7.15<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Speed = [ 98x5/18] m/sec =27.2 m / sec.
Time taken = (140/27.2)sec =5.15 sec.
The a... | 54,430 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 30 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Due to stoppages, it covers 9 km less.
Time taken to c... | 49,547 |
<|im_start|>user
At 6′o a clock ticks 6 times. The time between first and last ticks is 45 seconds. How long does it tick at 12′o clock
Answer Choices: (A) 47 (B) 76 (C) 28 (D) 66 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time du... | 54,054 |
<|im_start|>user
The cost of 15 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Answer Choices: (A) Rs 52.50 (B) Rs 56 (C) Rs 58.50 (D) Rs 64.75 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the required cost ... | 43,560 |
<|im_start|>user
A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Answer Choices: (A) 8.5 gallons (B) 9 gallons (C) 6.5 gallons (D) 5.5 gallons (E) 6 gallons<|im_end|>
<|im_start|>assistant
<think>
</think>
Each 20 kilometers, 1 gallon is neede... | 37,825 |
<|im_start|>user
Find the odd man out
3, 5, 12, 39, 154, 772, 4634
Answer Choices: (A) 39 (B) 154 (C) 5 (D) 3 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
3x1+2=5
5x2+2=12
12x3+2=38
38x4+2=154 .. and so on.
The answer is A<|endoftext|> | 53,501 |
<|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... | 1,099 |
<|im_start|>user
Find the invalid no.from the following series 2,3,12,37,86,166,288
Answer Choices: (A) 2 (B) 3 (C) 166 (D) 288 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
3-2=1
12-3=9
37-12=25
86-37=49
166-86=80(this must be 81=167-86=81)
so wrong number in the sequence is 166
difference between two suce... | 38,255 |
<|im_start|>user
If the time is currently 1:30pm, what time will it be in exactly 239 hours?
Answer Choices: (A) 12:30am (B) 1:30am (C) 12:30pm (D) 2:30pm (E) 10:30pm<|im_end|>
<|im_start|>assistant
<think>
</think>
Every 24 hours will bring us to the same 1:30pm. 240 is divisible by 24 (10*24=240), so if it were 240... | 46,248 |
<|im_start|>user
Nuclear changes occur with a simultaneous release of what, and a slight drop in mass?
Answer choice: (A) oil (B) mineral (C) hydrogen (D) energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Nuclear changes occur with a simultaneous release of energy. Where does this energy come from? If we could ... | 2,135 |
<|im_start|>user
Metabolism is an emergent property of life that arises from orderly interactions between what?
Answer choice: (A) molecules (B) tissues (C) body systems (D) nutrients<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 1,249 |
<|im_start|>user
An alloy contains tin and copper in the ratio of 4:5 . If tin has 20% impurity and copper has 58% , what is the avg impurity percentage ?
Answer Choices: (A) 20% (B) 41.1% (C) 35% (D) 38% (E) 43.1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total of 9 kgs.
Tin = 4Kgs; copper = 5Kgs
Impurity in ... | 94,457 |
<|im_start|>user
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R... | 69,399 |
<|im_start|>user
The side of a square is increased by 30% then how much % does its area increases?
Answer Choices: (A) 52.65 (B) 69 (C) 50.75 (D) 42.75 (E) 52.75<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 100 a2 = 10000
a = 130 a2 = 16900
----------------
10000 --------- 6900
100 -------? => 69 %
The answer... | 45,516 |
<|im_start|>user
#88
A necklace is made by stringing Q no individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then Q could equal
Answer Choices: (A) 16 (B) 28 (C) 41 (D) 54 (E) 65<|im_e... | 56,745 |
<|im_start|>user
What sum of money will produce Rs.90 as simple interest in 4 years at 3 1/2 percent?
Answer Choices: (A) 263 (B) 500 (C) 367 (D) 642.9 (E) 339<|im_end|>
<|im_start|>assistant
<think>
</think>
90 = (P*4*7/2)/100
P = 642.9
The answer is D<|endoftext|> | 72,034 |
<|im_start|>user
What is the number placed in front of a chemical symbol or formula that shows how many atoms or molecules of the substance are involved in the reaction?
Answer choice: (A) requirement (B) frequency (C) coefficient (D) note<|im_end|>
<|im_start|>assistant
<think>
</think>
Coefficients are used to bala... | 6,561 |
<|im_start|>user
There are r members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of r?
Answer Choices: (A) 11 (B) 12 (C) 15 (D) 18 (E) 22<|im_end|>
<|im_start|... | 62,530 |
<|im_start|>user
If x = 1/8 and y = -1/2, what is the value of the expression -2x – y^2?
Answer Choices: (A) -3/2 (B) -1/2 (C) 1 (D) 3/2 (E) 7/4<|im_end|>
<|im_start|>assistant
<think>
</think>
-2X- y^2
-2x1/8 - (1/2)^2
-1/4-1/4
-1/2
B correct
The answer is B<|endoftext|> | 67,241 |
<|im_start|>user
An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the... | 45,605 |
<|im_start|>user
At high pressures, how are the molecules of a gas crowded?
Answer choice: (A) few together (B) further apart (C) closer together (D) small together<|im_end|>
<|im_start|>assistant
<think>
</think>
Particles of a hypothetical ideal gas have no significant volume and do not attract or repel each other.... | 4,421 |
<|im_start|>user
Mandrake has to choose from 4 from 18 people. There are 3 girls, 5 boys , 10 children. What is total probability that he will choose 1G , 2B , 1C?
Answer Choices: (A) 1/7 (B) 2/7 (C) 3/7 (D) 4/7 (E) 5/51<|im_end|>
<|im_start|>assistant
<think>
</think>
(3C1 * 5C2 * 10C1)/ 18C4 = 3*10*10/1820= 300/182... | 15,474 |
<|im_start|>user
There are 172 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches wer... | 40,761 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Gravitational potential energy is stored between any two objects. So, for every object on or near Earth, there is gravitational potential energy stored between the object and Earth.
The amount of gravitational potential ener... | 4,458 |
<|im_start|>user
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 30hr. If all pipes are opened simultaneously, then the cistern will be filled in
Answer Choices: (A) 6.67 hr (B) 8 hr (C) 8.5 hr (D) 10 hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solu... | 68,682 |
<|im_start|>user
The number of the members of a club is more than 20 and less than 50. When 4 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 8-people groups, how many people will be left?
Answer... | 71,662 |
<|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... | 4,027 |
<|im_start|>user
Eight family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements... | 23,158 |
<|im_start|>user
The sale price watches listed for Rs.4500 after successive discount is 10% and 20% is?
Answer Choices: (A) 3240 (B) 3420 (C) 4320 (D) 4230 (E) 3140<|im_end|>
<|im_start|>assistant
<think>
</think>
4500*(90/100)*(80/100)
= 342
The answer is A<|endoftext|> | 26,587 |
<|im_start|>user
In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
Answer Choices: (A) 67 (B) 64 (C) 65 (D) 66 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 2 options: the selected groups have no girls or one girls.
-F... | 54,126 |
<|im_start|>user
A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?
Answer Choices: (A) knx (B) k⁄n (C) x (D) kx⁄n (E) kn⁄x<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x ... | 12,648 |
<|im_start|>user
In the xy-plane, the point (1, 3) is the center of a circle. The point (-2, 3) lies inside the circle and the point (1, -2) lies outside the circle. If the radius r of the circle is an integer, then r =
Answer Choices: (A) 6 (B) 5 (C) 4 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
An ... | 16,658 |
<|im_start|>user
A can do a job in 15 days and B can do it in 60 days. A and B working together will finish twice the amount of work in ------- days?
Answer Choices: (A) 22 1/2 days (B) 22 1/2 days (C) 22 days (D) 25 days (E) 24 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/15+ 1/60= 5/60= 1/12
12/1 = 12*2 ... | 81,464 |
<|im_start|>user
A certain airline's fleet consisted of 100 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less ... | 61,654 |
<|im_start|>user
What would be the missing number in the series: 1, 20, 266, 675,?
Answer Choices: (A) 76 (B) 78 (C) 80 (D) 82 (E) 84<|im_end|>
<|im_start|>assistant
<think>
</think>
1,20,x,266,675
> 20-1,x-20,266-x,675-266.
>again doing the same upto
>325-3x, -143+3x.
>we get 6x-486 equate it with zero.
> 6x-486 = 0... | 66,343 |
<|im_start|>user
If S is the sum of the reciprocals of the consecutive integers from 41 to 50, inclusive, which of the following is less than S?
I. 1/4
II. 1/5
III. 1/6
IV. 1/4>S >1/5
Answer Choices: (A) I (B) II (C) III (D) I&II (E) IV<|im_end|>
<|im_start|>assistant
<think>
</think>
Since we summarize the reciproca... | 57,118 |
<|im_start|>user
Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $7 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $19 left in his pocket. What was the value of N?
Answer Choices: (A) $36 (B) $44 (C) $52 (D) $60 (E) $68<|im_end|>
<... | 87,801 |
<|im_start|>user
In the first 15 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 35 overs to reach the target of 275 runs?
Answer Choices: (A) 5.55 (B) 6.25 (C) 6.75 (D) 7.02 (E) 6.48<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate = 275 - (3.2 x 15)... | 43,101 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 1,772 |
<|im_start|>user
Find a a prime number from below options?
Answer Choices: (A) 84 (B) 97 (C) 98 (D) 100 (E) 102<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, 97 is a prime number.
B
The answer is B<|endoftext|> | 39,927 |
<|im_start|>user
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Answer Choices: (A) 27 7/8 m (B) 77 7/9 m (C) 27 8/9 m (D) 27 7/9 m (E) 22 7/9 m<|im_end|>
<|im_start|>assis... | 6,176 |
<|im_start|>user
A cricket player whose bowling average was 24.50 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.50. What will be the number of wickets taken by him till the last match?
Answer Choices: (A) 64 (B) 72 (C) 141 (D) 96 (E) 108<|im_end|>
<|im_start|>assistant
<... | 40,625 |
<|im_start|>user
What type of science is the study of matter and energy and includes chemistry and physics?
Answer choice: (A) physical science (B) biology (C) Earth science (D) genetics<|im_end|>
<|im_start|>assistant
<think>
</think>
Physical science is the study of matter and energy. It includes chemistry and phys... | 6,961 |
<|im_start|>user
If the mean of numbers 28, x, 50, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
Answer Choices: (A) 76.5 (B) 58 (C) 39.8 (D) 90.3 (E) 66.67<|im_end|>
<|im_start|>assistant
<think>
</think>
Mean = (Sum of all no. in series)/(no. in series)
M1 = 62 = (X+28+50+78+104)/(5)
62 x 5 = 260 + X... | 75,756 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
Answer Choices: (A) 22 (B) 72 (C) 36 (D) 88 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each train... | 48,612 |
<|im_start|>user
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Answer Choices: (A) 33 (B) 44 (C) 48 (D) 52 (E) None of these<|im_end|>
<|im_start|>... | 7,226 |
<|im_start|>user
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 50 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total... | 46,182 |
<|im_start|>user
If x = 4 and y = −2, what is the value of (x − 2y)^y?
Answer Choices: (A) −100 (B) 0.015 (C) 0.25 (D) 4 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Quickly we can spot that answer is neither integer nor negative. Eliminate A, DE
by inversing and squaring 0.015
The answer is B<|endoftext|> | 68,064 |
<|im_start|>user
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 15 (B) 99 (C) 77 (D) 55 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the boat in still water = (60... | 7,154 |
<|im_start|>user
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Answer Choices: (A) 6620 (B) 2277 (C) 2677 (D) 2688 (E) 26711<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 20000(11/10)3
= 26620
= 20000
----------
6620
The answer is A<|endoftext|> | 58,847 |
<|im_start|>user
A shopkeeper sells 20% of his stock at 10% loss ans sells the remaining at a profit of 10%. He incurred an overall profit of Rs. 1500. Find the total worth of the stock?
Answer Choices: (A) 27500 (B) 26000 (C) 24000 (D) 25000 (E) 23500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total wo... | 62,090 |
<|im_start|>user
George while driving along the highway saw road markers which are at equal distances from each other. He crosses the markers every 20 seconds. If he increases his speed by x meters per second, he crosses the markers at every 15 seconds. But if he increases his speed by y meters per second, he crosses t... | 95,678 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 5,438 |
<|im_start|>user
If a and b are positive integers of C such that a/b=2.86, which of the following must be a divisor of a?
Answer Choices: (A) 10 (B) B.13 (C) 18 (D) 26 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
The prompt gives us a couple of facts to work with:
1) A and B are positive INTEGERS
2) A/B = ... | 26,188 |
<|im_start|>user
How many positive integers less than 9,000 are there in which the sum of the digits equals 5?
Answer Choices: (A) 56 (B) 57 (C) 58 (D) 59 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) ha... | 7,258 |
<|im_start|>user
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Answer Choices: (A) 14 years (B) 18 years (C) 20 years (D) 22 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the son's present age be x years .Then... | 46,397 |
<|im_start|>user
The average of 5 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Answer Choices: (A) 12.5 (B) 26.2 (C) 6.5 (D) 7.5 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
5 * 15 + 36 – 26
=... | 76,788 |
<|im_start|>user
The average age of a group of n people is 14 years old. One more person aged 34 joins the group and the new average is 16 years old. What is the value of n?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
14n + 34 = 16(n+1)
2n = 18
n = 9
The answer is ... | 29,726 |
<|im_start|>user
The true discount on a bill of Rs. 2260 is Rs. 360. What is the banker's discount?
Answer Choices: (A) Rs. 428 (B) Rs. 422 (C) Rs. 412 (D) Rs. 442 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
F = Rs. 2260
TD = Rs. 360
PW = F - TD = 2260 - 360 = Rs. 1900
True Discou... | 85,449 |
<|im_start|>user
Difference between two numbers is 5, six times of the smaller lacks by 4 from the four times of the greater. Find the numbers?
Answer Choices: (A) 5,3 (B) 7,5 (C) 9,7 (D) 11,9 (E) 13,8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x – y = 5
4x – 6y = 4
x = 13 y = 8
E)
The answer is E<... | 66,969 |
<|im_start|>user
How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
Answer Choices: (A) 576 numbers (B) 575 (C) 620 (D) 640 (E) 660<|im_end|>
<|im_start|>assistant
<think>
</think>
1 digit = 5
2 digits = 4* 5 = 20
3 digits = 4*5*5= 100
Now,4 digit nu... | 27,906 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 3,959 |
<|im_start|>user
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Answer Choices: (A) 1:2 (B) 2:5 (C) 6"2 (D) 3:1 (E) 4:7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 3,943 |
<|im_start|>user
If d=1/(2^3*5^11) is expressed as a terminating decimal, how many nonzero digits will d have?
Answer Choices: (A) One (B) Two (C) Three (D) Seven (E) Ten<|im_end|>
<|im_start|>assistant
<think>
</think>
Another way to do it is :
We know x^a*y^a=(X*Y)^a
given = 1/(2^3*5^11)
= Multiply and divide by 2^... | 41,978 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Answer Choices: (A) 2/29 (B) 2/20 (C) 2/21 (D) 2/22 (E) 2/23<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there ... | 84,510 |
<|im_start|>user
1, 6, 13, 22, 33, ?
Answer Choices: (A) 35 (B) 46 (C) 48 (D) 49 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
The pattern is + 5, + 7, + 9, + 11,....
The answer is B<|endoftext|> | 3,686 |
<|im_start|>user
The average (arithmetic mean) of the integers from 200 to 800, inclusive, is how much greater than the average of the integers from 50 to 300, inclusive?
Answer Choices: (A) 450 (B) 375 (C) 400 (D) 425 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
For an AP the mean or average of seri... | 89,619 |
<|im_start|>user
The value of ((x – y)³ + (y - z)³ + (z – x)³)/(15 (x – y) (y – z) (z – x))
is equal to :
Answer Choices: (A) 0 (B) 1/12 (C) 1 (D) 1/5 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y... | 11,035 |
<|im_start|>user
what is the remainder when 7^700 is divided by 100?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
(7^700)mod100= [7^(2*350)]mod100=[49^350]mod100=[(50-1)^350]mod100=[{350C349}*50*(-1)^349 +350C350*(-1)^350]mod100 = [-350*50+1]mod100=1mod100
So, evident... | 29,563 |
<|im_start|>user
There are 6 people and 3chairs. In how many ways people can occupy the chairs?
Answer Choices: (A) 120 (B) 150 (C) 240 (D) 60 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
total people = 6
total chairs = 3
1st chair can be occupy in 6ways
2nd chair can be occupy in 5ways
3rd chair can be o... | 55,934 |
<|im_start|>user
A man took some money for borrowed, for 3 years the total will be Rs.6500 and 5 years it will be Rs.7500/-. Then how much amount he borrowed?
Answer Choices: (A) s.5000/- (B) s.5500/- (C) s.5770/- (D) s.5800/- (E) s.5820/-<|im_end|>
<|im_start|>assistant
<think>
</think>
3 years --------> Rs.6500/-
5... | 71,931 |
<|im_start|>user
Jill has 7 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Answer Choices: (A) 3 (B) 6 (C) 9 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of e... | 33,371 |
<|im_start|>user
What is the difference between the place value and face value of 1 in the numeral 54315?
Answer Choices: (A) 9 (B) 11 (C) 5 (D) 1 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Difference between the place value and face value of 1 = 10-1 = 9
The answer is A<|endoftext|> | 51,645 |
<|im_start|>user
A woman is 4 times as old as her daughter. In 3 years she will be 3 times as old as her daughter. How old is the woman now?
Answer Choices: (A) 3 years (B) 6 years (C) 12 years (D) 24 years (E) 36 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Woman's present age = w
and daughter's presen... | 13,615 |
<|im_start|>user
Which of the following is closest to the difference between sum Q of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Answer Choices: (A) 2.82 (B) 2.72 (C) 1.82 (D) 1.72 ... | 55,457 |
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