text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
There are 408 boys and 240 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Answer Choices: (A) 27 (B) 32 (C) 35 (D) 30 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF (408, 240) = 24
T... | 53,223 |
<|im_start|>user
The end of a blade on an airplane propeller is 20 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Answer Choices: (A) 200π (B) 240π (C) 600π (D) 480π (E) 1,200π<|im_end|>
<|im_... | 46,441 |
<|im_start|>user
The smallest number which when diminished by 8, is divisible 8, 16, 24, 32 and 40 is:
Answer Choices: (A) 1008 (B) 1015 (C) 488 (D) 490 (E) 590<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (L.C.M. of 8, 16, 24, 32, 40) + 8
= 480 + 8
= 488
The answer is C<|endoftext|> | 78,175 |
<|im_start|>user
What do vectors possess that scalars do not?
Answer choice: (A) height and polarity (B) direction and texture (C) magnitude and direction (D) magnitude and weight<|im_end|>
<|im_start|>assistant
<think>
</think>
In physics, a quantity, such as mass, length, or speed that is completely specified by it... | 2,716 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 83,655 |
<|im_start|>user
In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for... | 47,175 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 4,283 |
<|im_start|>user
Find the area of a parallelogram with base 24 cm and height 16 cm.
Answer Choices: (A) 277 cm2 (B) 384 cm2 (C) 670 cm2 (D) 266 cm2 (E) 265 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram = base * height
= 24 * 16 = 384 cm2
The answer is B<|endoftext|> | 71,973 |
<|im_start|>user
John has on his shelf two books of poetry, six novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Answer Choices: (A) 1/2 (B) 2/5 (C) 3/10 (D) 7/20 (E) 4/15<|im_end|>
<|im_start|>assi... | 39,388 |
<|im_start|>user
In a lottery, there are 9 prizes and 18 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answer Choices: (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
P(winning a prize) = 9 / (9+18) = 9/27 = 1/3
The answer is B<|endoftext|> | 54,992 |
<|im_start|>user
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner... | 15,755 |
<|im_start|>user
What is broken during catabolic reactions, such as the breakdown of complex carbohydrates into simple sugars?
Answer choice: (A) bonds (B) ions (C) forms (D) metals<|im_end|>
<|im_start|>assistant
<think>
</think>
Catabolic reactions involve breaking bonds. Larger molecules are broken down to smaller... | 2,192 |
<|im_start|>user
What is an atom or group of bonded atoms that has a positive or negative charge?
Answer choice: (A) an photon (B) an electron (C) a neutron (D) an ion<|im_end|>
<|im_start|>assistant
<think>
</think>
An ion is an atom or group of bonded atoms that has a positive or negative charge. Ions are formed wh... | 2,431 |
<|im_start|>user
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Answer Choices: (A) 388898 (B) 2777 (C) 2928 (D) 15000 (E) 2882<|im_end|>
<|im_start|>assistant
<think>
</think>
The ra... | 93,196 |
<|im_start|>user
What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm?
Answer Choices: (A) 176 (B) 187 (C) 540 (D) 748 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
The marbles used to tile the floor are square marbles.
Therefore, the length o... | 83,068 |
<|im_start|>user
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Answer Choices: (A) 123400 m (B) 145500 m (C) 153600 m (D) 186400 m (E) 165700 m<|im... | 38,002 |
<|im_start|>user
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the rate of interest be R% p.a.
17400[1 + R/100]... | 10,513 |
<|im_start|>user
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability A that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Answer Choices: (A) 15/64 (B) 30/64 (C) 1/2 (D) 1/4 (E) 52/64<|im_end|>
<|im_start|>assistant
<think>
</think>
chances of rain on exactly 4 days and... | 88,785 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 15m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 10km/h (C) 12km/h (D) 13km/h (E) 14km/h<|im_end|>
<|im_start|>assistant
... | 50,538 |
<|im_start|>user
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of y customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Answer Choices: (A) (n - ... | 96,692 |
<|im_start|>user
What is the sum of the different positive prime factors of 880?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 18 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime factorization of 880
=88 * 10
=8*11 * 10
=2*4 * 2*5 * 11
=2* 2*2 * 2*5 * 11
=2^4 * 5 * 11
Sum of the different positive prime factor... | 24,938 |
<|im_start|>user
What are the two main types of diabetes?
Answer choice: (A) type 0, 1 (B) type a, b (C) type 3, 4 (D) type 1, type 2<|im_end|>
<|im_start|>assistant
<think>
</think>
There are two main types of diabetes: type 1 diabetes and type 2 diabetes. The two types of diabetes have different causes.
The answer ... | 9,271 |
<|im_start|>user
Connective tissues typically have three characteristic components in common: cells, large amounts of amorphous ground substance, and what else?
Answer choice: (A) protein fibers (B) antioxidants (C) hormones (D) white blood cells<|im_end|>
<|im_start|>assistant
<think>
</think>
4.3 | Connective Tissu... | 926 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 3,121 |
<|im_start|>user
What is the average of xx, 2x2x, and 66?
Answer Choices: (A) x+2 (B) x+2x (C) x+2x+2 (D) 2x+2 (E) x<|im_end|>
<|im_start|>assistant
<think>
</think>
By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence,
The answer is C<|endoftext|> | 26,668 |
<|im_start|>user
IF A'S INCOME IS 25%LESS THAN B'S.BY WHAT % B'S INCOME IS GREATER THAN A?
Answer Choices: (A) 11 (B) 12 (C) 33 (D) 15 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
If B 's income is rs 100,
A's income = Rs 75
% B'S INCOME IS GREATER THAN A = 100*25/75= 33.33 %
The answer is C<|endoftext|> | 69,883 |
<|im_start|>user
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 11 brown mice in the experiment, how many mice in total are in the experiment?
Answer Choices: (A) 39 (B) 33 (C) 26 (D) 21 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let t... | 26,174 |
<|im_start|>user
The largest number of six digits
Answer Choices: (A) 100000 (B) 222222 (C) 333333 (D) 888888 (E) 999999<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is E<|endoftext|> | 49,286 |
<|im_start|>user
A train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. Its length is
Answer Choices: (A) 150 m (B) 300 m (C) 400 m (D) 180 m (E) 160 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Assume x is the length of the train and v is the speed
x/v = 15 => v = x/15
(x+10... | 73,275 |
<|im_start|>user
A copy machine, working at a constant rate, makes 25 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Answer Choices: (A) 90 (B) 2,400 (C) 4,500 (D) 5,... | 76,163 |
<|im_start|>user
A lady bought five books namely A,B,C,D,E to distribute her 6 children. How many ways she can distribute books?
Answer Choices: (A) 6^3 (B) 5^6 (C) 6^5 (D) 6^6 (E) 3^6<|im_end|>
<|im_start|>assistant
<think>
</think>
6*6*6*6*6
6^5
The answer is C<|endoftext|> | 47,513 |
<|im_start|>user
The sum of money at compound interest amounts to thrice itself in 4 years. In how many years will it be 15 times itself?
Answer Choices: (A) 8 years (B) 16 years (C) 2 years (D) 6 years (E) 3 years<|im_end|>
<|im_start|>assistant
<think>
</think>
100 ---- 300 --- 4
900 --- 4
1200----4
1500---4
16 yea... | 14,657 |
<|im_start|>user
Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?
Answer Choices: (A) $3.50 (B) $4.00 (C) $4.25... | 10,662 |
<|im_start|>user
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 1 year?
Answer Choices: (A) 14300 (B) 12000 (C) 14500 (D) 14600 (E) 15400<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
10000 ×... | 52,322 |
<|im_start|>user
It takes 4 workers a total of 8 hours to build a giant machine with each worker working at the same rate. If four workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 3:00 PM, at what time will the machine be complete?
Answer Choices: (A) 5:43 (B) 5:56 (C)... | 34,690 |
<|im_start|>user
A clock is started at noon. By 10 minutes past 8, the hour hand has turned through how many degrees?
Answer Choices: (A) 235° (B) 240° (C) 245° (D) 250° (E) 255°<|im_end|>
<|im_start|>assistant
<think>
</think>
The angle traced by the hour hand in 12 hrs is 360°
The angle traced by the hour han... | 65,821 |
<|im_start|>user
An amount of money is to be divided between M, N and O in the ratio of 3:7:12. If the difference between the shares of M and N is Rs.2000, what will be the difference between N and O's share?
Answer Choices: (A) 1266 (B) 3000 (C) 2866 (D) 2500 (E) 2678<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 23,382 |
<|im_start|>user
Mitosis and meiosis are two types of what process, with dramatically different products?
Answer choice: (A) cell transition (B) cell division (C) cell solution (D) cell diffusion<|im_end|>
<|im_start|>assistant
<think>
</think>
Mitosis and meiosis are two types of cell division, with dramatically dif... | 386 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 4,765 |
<|im_start|>user
Suraj has a certain average of runs for 12 innings. In the 13th innings he scores 96 runs thereby increasing his average by 5 runs. What is his average after the 13th innings?
Answer Choices: (A) 48 (B) 64 (C) 36 (D) 72 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
To improve his average by... | 14,145 |
<|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 9 units?
Answer Choices: (A) 126 sq.units (B) 170 sq.units (C... | 79,978 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 2,571 |
<|im_start|>user
Magnetic force is always perpendicular to what?
Answer choice: (A) speed (B) sunlight (C) velocity (D) length<|im_end|>
<|im_start|>assistant
<think>
</think>
So does the magnetic force cause circular motion? Magnetic force is always perpendicular to velocity, so that it does no work on the charged p... | 2,258 |
<|im_start|>user
Find the L.C.M of 12, 25, 24 and 20.
Answer Choices: (A) 240 (B) 600 (C) 320 (D) 150 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
6 x 2 x 2 x 5 x 5 = 600
The answer is B<|endoftext|> | 58,673 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1300, what is the reduced price for kg?
Answer Choices: (A) s.40 (B) s.65 (C) s.49 (D) s.41 (E) s.42<|im_end|>
<|im_start|>assistant
<think>
</think>
1300*(25/100) = 325 ---- 5
? ---- 1
=> Rs.65
The answer is B<|en... | 86,463 |
<|im_start|>user
A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?
Answer Choices: (A) 8 (B) 9 (C) 1 (D) 6 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose B joined for... | 57,786 |
<|im_start|>user
In how many ways letters of the word POLICIES be arranged?
Answer Choices: (A) 45326 (B) 28763 (C) 20160 (D) 45693 (E) 54823<|im_end|>
<|im_start|>assistant
<think>
</think>
POLICIES has 8 letters, out of which I repeated 2 times. Hence total ways = 8! / 2! = 20160ways
C
The answer is C<|endoftext|> | 70,641 |
<|im_start|>user
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Answer Choices: (A) 1342 (B) 1543 (C) 1578 (D) 1654 (E) 1365<|im_end|>
<|im_start|>assistant
<think>
</think>
A particular player is always chosen, it means that 10 players are selected out of the rem... | 91,917 |
<|im_start|>user
To a sugar solution of 3 litres containing 40% sugar, one litre of water is added. The percentage of sugar in the new solution is ?
Answer Choices: (A) 22% (B) 15% (C) 26% (D) 40% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Quantity of sugar = 40*3/100 = 1.2kg
new percentage = (1.2*100/4... | 87,001 |
<|im_start|>user
A and B together can do a piece of work in 2 days. If A alone can do the same work in 22 days, then B alone can do the same work in?
Answer Choices: (A) 0.35 days (B) 0.45 days (C) 0.55 days (D) 0.25 days (E) 0.15 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B = 1/2 – 1/22 =0.45 days
The ans... | 39,410 |
<|im_start|>user
How much larger can the most powerful light microscropes make an image?
Answer choice: (A) 500 times (B) 10 times (C) 2000 times (D) 100 times<|im_end|>
<|im_start|>assistant
<think>
</think>
Light microscopes allow biologists to see small details of a specimen. Most of the microscopes used in school... | 5,895 |
<|im_start|>user
Anu normally takes 4 hours more than the time taken by Sachin to walk D km. If Anu doubles her speed, she can make it in 2 hours less than that of Sachin. How much time does Sachin require for walking D km?
Answer Choices: (A) 10 hours (B) 4 hours (C) 8 hours (D) 9 hours (E) None<|im_end|>
<|im_start|>... | 78,581 |
<|im_start|>user
A can run 288 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Answer Choices: (A) 38 metre (B) 28 metre (C) 23 metre (D) 15 metre (E) 36 metre<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed... | 71,212 |
<|im_start|>user
How many digits will be there to the right of the decimal point in the product of 98 and .08216 ?
Answer Choices: (A) 5 (B) 6 (C) 9 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Product of 98 and .08216 is 8.05168.
Therefore number of digits to right of decimal point is 5
The answer is... | 44,867 |
<|im_start|>user
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7, inclusive?
Answer Choices: (A) 1/4 (B) 1/8 (C) 3/8 (D) 3/16 (E) 5/16<|im_end|>
<|im_start|>as... | 66,555 |
<|im_start|>user
What is the best room in the home to start saving water?
Answer choice: (A) the bedroom (B) the kitchen (C) the bathroom (D) the basement<|im_end|>
<|im_start|>assistant
<think>
</think>
It’s easy to save water at home. If you save even a few gallons a day you can make a big difference in the long ru... | 3,129 |
<|im_start|>user
Suppose the sales tax be reduced from 3 1/2% to 3 1/3%, then what difference does it make to a person who purchase an article with marked price of Rs. 7200 ?
Answer Choices: (A) Rs 12 (B) Rs 16 (C) Rs 10 (D) Rs 14 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Soluti... | 62,404 |
<|im_start|>user
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Answer Choices: (A) 3888 (B) 26989 (C) 26700 (D) 28800 (E) 2879<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800... | 4,423 |
<|im_start|>user
For all integers a and b, a%b = (a + b)(a - b). If 9%x = 17, then which of the following could be a value of x?
Answer Choices: (A) -8 (B) -7 (C) 2 (D) 3 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
9%x = (9+x)(9-x)
81-x^2 = 17
x^2 = 64
x=-8,8
The answer is A<|endoftext|> | 29,799 |
<|im_start|>user
If k^2 is divisible by 240 what is the least possible value of integer K?
Answer Choices: (A) 60 (B) 30 (C) 12 (D) 90 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
240 can be written as (2^4)*3*5.
For k^2 to be divisible by 240 it should contain at least 2^4 and 3 and 5 in its factors. We ... | 42,172 |
<|im_start|>user
The average of a non-zero number and its square is 5 times the number. The number is:
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+x^2)/2=5x
x^2=9x
x=9
The answer is E<|endoftext|> | 1,721 |
<|im_start|>user
What is the remainder when you divide 2^200-1 by 7?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 80,996 |
<|im_start|>user
Chuck's apple tree produces 4 apples for every 2 branches. There are 8 branches on his tree. how many apples will Chuck's tree produce?
Answer Choices: (A) 16 (B) 8 (C) 2 (D) 4 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
4 apples for every 2 branches = 2 apples for every 1 branch
2 apples... | 56,380 |
<|im_start|>user
While climate change in earth history was due to natural processes, what is primarily to blame for recent global warming?
Answer choice: (A) wars (B) volcanos (C) factories (D) human actions<|im_end|>
<|im_start|>assistant
<think>
</think>
Climate change in Earth history was due to natural processes.... | 262 |
<|im_start|>user
If |4x+14| = 46, what is the sum of all the possible values of x?
Answer Choices: (A) 2 (B) -7 (C) 4 (D) -5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
There will be two cases
4x+14= 46 or 4x+14 = -46
=> x =8 or x= -15
sum of both the values will be -15 +8 = -7
The answer is B<|endoftext|> | 20,043 |
<|im_start|>user
106 x 106 - 94 x 94 = ?
Answer Choices: (A) 2400 (B) 2000 (C) 1904 (D) 1906 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
=(106)^2-(94)^2
=(106+94)(106-94)
=(200 x 12)
=2400
The answer is A<|endoftext|> | 16,165 |
<|im_start|>user
Taylor is making a bracelet. He Starts with 4 blue knots, 5 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Answer Choices: (A) 87 (B) 90 (C) 95 (D)... | 81,180 |
<|im_start|>user
An engineer undertakes a project to build a road 10 km long in 15 days and employs 30 men for the purpose. After 5 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Answer Choices: (A) 15 (B) 20 (C) 25 (D) 28 (... | 92,173 |
<|im_start|>user
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction W of time taken by the two wide pipes working together to fill the tank?
Answer Choices: (A) 1/2 (B)... | 65,467 |
<|im_start|>user
Tanya prepared 6 different letters to 6 different addresses. For each letter, she prepared one envelope with its correct address. If the 6 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Answer... | 68,521 |
<|im_start|>user
The cost of 4 bags and 12 purses is Rs.2800, what is the cost of 10 bags and 30 purses?
Answer Choices: (A) Rs.7000 (B) Rs.7500 (C) Rs.3800 (D) Rs.7900 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Cost of 4 bags + 12 purses = Rs.2800
Multiply each term by 5/2, we ge... | 37,057 |
<|im_start|>user
If Daniel is 18 years old in December and is 10 years younger than his sister, which of the following could be true?
I. Daniel's Sister will be 28 years in December.
II. When Daniel is 20 years, his sister will be 25 years.
III. Daniel is older than his sister.
Answer Choices: (A) I only (B) I and II... | 83,205 |
<|im_start|>user
A box contain 12 chocolates and 10 biscuit packets .What is the probability that one chocolate is selected is:
Answer Choices: (A) 12/22 (B) 10/22 (C) 21 (D) 5/22 (E) 6/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of chocolates and biscuit packets = 12+10= 22
no.of chocolates in a... | 47,131 |
<|im_start|>user
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/3, what is the probability that Taylor makes exactly one basket in three tries?
Answer Cho... | 2,917 |
<|im_start|>user
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Answer Choices: (A) 20 (B) 34 (C) 37 (D) 27 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
There are three la... | 55,518 |
<|im_start|>user
There are 200 doctors and nurses at a hospital. If the ratio of doctors to nurses is 4 to 6, how many nurses are at the hospital?
Answer Choices: (A) 110 (B) 120 (C) 130 (D) 140 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of nurses at the hospital is (6/10)*200=120.
The answer... | 38,529 |
<|im_start|>user
The area of Circle O is added to its diameter. If the circumference of Circle O is then subtracted from this total, the result is 4. What is the area of Circle O?
Answer Choices: (A) 2/π (B) 2 (C) 8 (D) 4 (E) 4π<|im_end|>
<|im_start|>assistant
<think>
</think>
area+diameter-circumference=4
pi*r^2+2r=... | 41,773 |
<|im_start|>user
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 75 (B) 72 (C) 30 (D) 80 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
speed= Distance/ Time
S = (90 + 60)/2 = 75 kmph
The answer is A<|endoftext... | 25,950 |
<|im_start|>user
A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
Answer Choices: (A) 12 days (B) 18 days (C) 16 days (D) 19 days (E) 21 days<|im_... | 94,354 |
<|im_start|>user
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Answer Choices: (A) 10 cm (B) 16 cm (C) 18 cm (D) 20 cm (E) 22 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
2(l + b) = 5
b 1
2l + 2b = 5b
3b... | 27,892 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 4,119 |
<|im_start|>user
A tradesman by means of his false balance defrauds to the extent of 12%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Answer Choices: (A) 26.4 (B) 25.44 (C) 27.5 (D) 28.54 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
g% = 12 + 12 + ... | 1,479 |
<|im_start|>user
Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 5 cm, and BD = 9 cm, what is CD, in centimeters?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 6 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Putting a value to each point, lets use the following:
A - 0
B - 2 (AB = 2)
C - ... | 93,276 |
<|im_start|>user
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Answer Choices: (A) 67 (B) 88 (C) 18 (D) 26 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the leak can empty the full ta... | 80,368 |
<|im_start|>user
In a throw of dice what is the probability of geƫing number greater than 2
Answer Choices: (A) 2/3 (B) 1/3 (C) 1/5 (D) 1/6 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number greater than 2 is 3, 4, 5 & 6, so only 4 number
Total cases of dice = [1,2,3,4,5,6]
So pro... | 14,011 |
<|im_start|>user
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Answer Choices: (A) 12.6 (B) 12.0 (C) 12.1 (D) 12.3 (E) 12.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time ... | 87,540 |
<|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) 30 (B) 20 (C) 10 (D) 5 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Let present age of the elder person =x and
... | 32,969 |
<|im_start|>user
What day of the week does May 28 2006 fall on
Answer Choices: (A) Saturday (B) Monday (C) Sunday (D) Thursday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 years = 0
Hence the ... | 83,219 |
<|im_start|>user
A can do a piece of work in 5 days and B can do it in 6 days how long will they both work together to complete the work?
Answer Choices: (A) 2 6/11 (B) 2 8/11 (C) 2 7/11 (D) 2 9/11 (E) 2 10/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A’s one day work = 1/5
B’s one day work = 1/6
... | 92,749 |
<|im_start|>user
Via what process do substance move from one cell to another?
Answer choice: (A) reverse transferase (B) plasmodesmata (C) autolysis (D) downregulation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 11,321 |
<|im_start|>user
In species with sexual reproduction, each cell of the body has two copies of each what?
Answer choice: (A) cell (B) rna strand (C) dna strand (D) chromosome<|im_end|>
<|im_start|>assistant
<think>
</think>
In species with sexual reproduction, each cell of the body has two copies of each chromosome. F... | 2,846 |
<|im_start|>user
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Answer Choices: (A) 11 1/9 (B) 11 1/4 (C) 19 1/9 (D) 11 1/2 (E) 11 1/41<|im_end|>
<|im_start|>assistant
<... | 39,392 |
<|im_start|>user
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Answer Choices: (A) 165 (B) 878 (C) 166 (D) 199 (E) 234<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eig... | 55,418 |
<|im_start|>user
Fungus-like protist saprobes play what role in a food chain and are specialized to absorb nutrients from nonliving organic matter, such as dead organisms or their wastes?
Answer choice: (A) aphids (B) Soil (C) decomposers (D) fluxes<|im_end|>
<|im_start|>assistant
<think>
</think>
Agents of Decomposi... | 38 |
<|im_start|>user
During school lunch, 60% of the children packed fruit in their lunches. Of those children, 25% have an apple. The remaining children eat from the cafeteria where they are given an apple. What percentage of children have an apple with their lunch?
Answer Choices: (A) 15% of the children have an apple. (... | 71,376 |
<|im_start|>user
1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 .........,sum of first 1230 terms of series
Answer Choices: (A) 2311 (B) 2411 (C) 2511 (D) 2611 (E) 2487<|im_end|>
<|im_start|>assistant
<think>
</think>
Start with making two series
1+1*2=3 terms 2
1+2*2=5. 3
1+3*2=7. 4
....
....
....
1+47*2=95. 48
1+48*2=97... | 9,473 |
<|im_start|>user
If the sides of a triangle are 28 cm, 26 cm and 12 cm, what is its area?
Answer Choices: (A) 120 cm2 (B) 156 cm2 (C) 178 cm2 (D) 189 cm2 (E) 176 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 28 cm, 26 cm and 12 cm is right angled, where the hypotenuse is 28 cm.
Area of ... | 89,371 |
<|im_start|>user
Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?
Answer Choices: (A) 70% (B) 60% (C) 50% (D) 40% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (60/120)*100 = (1/2)*100 = 50%.
C
The answer is C<|endoftext|> | 3,068 |
<|im_start|>user
A certain number when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
50 + 25 = 75/15 = 5 (Remainder)
B
The answer is B<|endoftext|> | 49,390 |
<|im_start|>user
The average of six numbers is S and the average of three of these is T.If the average of the remaining three is U, then
Answer Choices: (A) S= T + U (B) 2S= T + U (C) S= 2T + 2U (D) None of these (E) Cannot ne determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Clearly, we have ... | 88,129 |
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