text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
If the sum of a number and its square is 72, what is the number?
Answer Choices: (A) 15 (B) 26 (C) 8 (D) 91 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
x + x2 = 72
(x + 9)(x - 8) = 0
x = 8
The answer is C<|endoftext|> | 841 |
<|im_start|>user
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
Answer Choices: (A) 2389 (B) 2778 (C) 4320 (D) 1987 (E) 1212<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x Not younger_______ ↑
The last ball can be thrown by any of t... | 22,755 |
<|im_start|>user
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Answer Choices: (A) 480 (B) 266 (C) 287 (D) 1661 (E) 211<|im_end|>
<|im_start|>assistant
<think>
... | 61,486 |
<|im_start|>user
What occurs between long warm climate periods?
Answer choice: (A) hurricanes (B) mass extinction (C) drought (D) ice ages<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth’s climate has changed many times. Long warm periods were broken up by ice ages. Over the past 150 years, climate has warmed ... | 3,478 |
<|im_start|>user
Express 20 mps in kmph?
Answer Choices: (A) 72 (B) 88 (C) 90 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
20 * 18/5 = 72 kmph
The answer is A<|endoftext|> | 34,393 |
<|im_start|>user
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2?
Answer Choices: (A) 3 (B) 8 (C) 9 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number... | 70,915 |
<|im_start|>user
The second of two numbers is two less than three times the first. Find the numbers if there sum is
26.
Answer Choices: (A) 7-19 (B) 8-20 (C) 10-16 (D) 15-9 (E) 20-6<|im_end|>
<|im_start|>assistant
<think>
</think>
We are looking for two numbers.
#1 - x
#2 - 3x – 2
The sum is 26. #1 + #2 = 26
Substitu... | 73,624 |
<|im_start|>user
An bus covers a certain distance at a speed of 300 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Answer Choices: (A) 1520 km/hr (B) 1640 km/hr (C) 1656 km/hr (D) 1500 km/hr (E) 1520 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (300 x 5) = 1500 k... | 36,762 |
<|im_start|>user
In the xy-plane, a line has slope 3 and x-intercept 4. What is the y-intercept of the line?
Answer Choices: (A) -12 (B) -3 (C) 0 (D) 3 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also gi... | 41,908 |
<|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) 72 kmph (B) 75 kmph (C) 30 kmph (D) 80 kmph (E) 82 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (90 + 60)/2
= 75 kmph
The answer is B<|endoftext|> | 29,318 |
<|im_start|>user
I have a huge bed-sheet of 1 meter long.
I want to cuts this role into pieces of 20 centimeter long cloth.
How long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ?
Answer Choices: (A) 245 minutes (B) 345 minutes (C) 445 minutes (D) 545 minutes (E) None<|im_end|>
<|im_... | 62,226 |
<|im_start|>user
Working at a constant rate, P can finish a job in 4 hours. Q, also working at a constant rate, can finish the same job in 15 hours. If they work together for 3 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?
Answer Choices: (A) 5 (B) 8 (C) 10 (D) 12 (E... | 86,380 |
<|im_start|>user
Find the circumference and area of radius 4 cm.
Answer Choices: (A) 24 cm² (B) 44 cm² (C) 50 cm² (D) 84 cm² (E) 94 cm²<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of circle = πr²
= 22/7 × 4 × 4 cm²
= 50 cm²
The answer is C<|endoftext|> | 86,430 |
<|im_start|>user
Two members of a club are to be selected to represent the club at a national meeting. if there are 55 different possible selections of the 2 members, how many members does the club have?
Answer Choices: (A) 11 (B) 27 (C) 40 (D) 57 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
I have done th... | 75,777 |
<|im_start|>user
Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 2/5 of the students are female, what fraction of all the students are on the honor roll?
Answer Choices: (A) 5/9 (B) 3/15 (C) 23/30 (D) 22/30 (E) 53/90<|im_end|>
<|im_start|>assi... | 75,448 |
<|im_start|>user
The difference between a number and its two-fifth is 45. What is the number?
Answer Choices: (A) 76 (B) 56 (C) 88 (D) 66 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number be x.
x – (2 / 5) x = 45
(3/5) x = 45
x = 75
The answer is E<|endoftext|> | 92,066 |
<|im_start|>user
Duckweed and cattails serve what role in the food chain in freshwater biomes?
Answer choice: (A) tertiary consumer (B) secondary consumer (C) primary consumer (D) primary producer<|im_end|>
<|im_start|>assistant
<think>
</think>
Duckweed: Jonathan Jordan; Cattails: User:JoJan/Wikimedia Commons. Duckw... | 1,907 |
<|im_start|>user
A team has to design a flag. The team has five yellow strips of cloth and six green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Answer Choices: (A) 120 (B) 144 (C) 256 (D) 462 (E) 600<|im_end|>
<|im_start|>assistant... | 39,564 |
<|im_start|>user
If you are given $5, and the amount doubles every day, how much money will you have after 4 days?
Answer Choices: (A) $256 (B) $512 (C) $1024 (D) $625 (E) $720<|im_end|>
<|im_start|>assistant
<think>
</think>
5^4=625
The answer is D<|endoftext|> | 38,941 |
<|im_start|>user
A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 12 km per hour and the level part at the rate of 18 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the ... | 39,934 |
<|im_start|>user
(1000)7÷(10)16=?
Answer Choices: (A) 10 (B) 100 (C) 1000 (D) 100000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=(103)7/(10)16
=(10)21/(10)16=10(5)=100000
Option D
The answer is D<|endoftext|> | 97,002 |
<|im_start|>user
The factorial expression 9!/2! is not divisible by which of the following integers?
Answer Choices: (A) 3 (B) 2 (C) 6 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
9!/2! => 9 x 8 x 7 x 6 x 5 x 4 x 3
(A) 3 Can divide 12 or 9
(B) 2 Can divide 8 or 6 or 4
(C) 6 Can divide 6
(D) 7 Can div... | 75,503 |
<|im_start|>user
A train travels 250 km in 2 hours and 350 km in 4 hours.find the average speed of train.
Answer Choices: (A) 80 kmph (B) 60 kmph (C) 70 kmph (D) 100 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
As we know that Speed = Distance / Time
for average speed = Total Distance / Tot... | 56,987 |
<|im_start|>user
Simplify
25+[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
Answer Choices: (A) 23 (B) 25 (C) 28 (D) 30 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=25+[5−(6+2(7−8+5))]
(Please check due to overline, sign has been changed)
=25+[5−(6+2×4))]
=25+[−9]=25-9=16
Option E
The ... | 21,533 |
<|im_start|>user
A person crosses a 400m long street in 10minnutes. What is his speed in km per hour?
Answer Choices: (A) 6.4km/hr (B) 7.9km/hr (C) 1.5km/hr (D) 2.4km/hr (E) 8km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 400/10*60 = 2/3m/sec
=2/3*18/5
=2.4km/hr
The answer is D<|endoftext|> | 8,453 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 6,502 |
<|im_start|>user
What is the speed of the stream if a canoe rows upstream at 6km/hr and downstream at 12km/hr
Answer Choices: (A) 1 kmph (B) 4 kmph (C) 3 kmph (D) 2 kmph (E) 1.9 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Speed of stream = 1/2(12 -6) kmph = 3 kmph.
The answer is C<|endoftext|> | 41,234 |
<|im_start|>user
The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 520 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make ... | 36,344 |
<|im_start|>user
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 7 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each rece... | 91,692 |
<|im_start|>user
The simple interest on Rs.11000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Answer Choices: (A) 3068.82 (B) 3052.89 (C) 3052.85 (D) 3068.51 (E) 3068.81<|im_end|>
<|im_start|>assistant
<think>
</think>... | 14,772 |
<|im_start|>user
Which organ in the human body filters blood and excretes urine?
Answer choice: (A) the kidney (B) the liver (C) the bladder (D) the thyroid<|im_end|>
<|im_start|>assistant
<think>
</think>
The kidneys filter all the blood in the body many times each day and produce a total of about 1.5 liters of urin... | 6,690 |
<|im_start|>user
According to the english system measurement, how much is equal to 2 pints, 1 quart, and ¼ of a gallon?
Answer choice: (A) 4 cups (B) 2 cups (C) 3 cups (D) 1 cup<|im_end|>
<|im_start|>assistant
<think>
</think>
Many quantities can be expressed in several different ways. The English system measurement ... | 4,451 |
<|im_start|>user
On the number line, if x is halfway between -8 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Answer Choices: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
x= -2 and y = 2.
The answer is C<|endoftext|> | 93,714 |
<|im_start|>user
Can you find the missing number in the sequence given below?
11 16 21 12 17 ? 13 18 23 14 19 24
Answer Choices: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
22
Explanation :
The sequence is given in the puzzle is :
11 16 21 12 17 ? 13 18 23 14 19 24
Le... | 90,793 |
<|im_start|>user
There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Answer Choices: (A) 1000 (B) 3000 (C) 1225 (D) 6000 (E) 9000<|im_end|>
<|im_start|>assistant
<think>
</think>
50 players are there.... | 97,452 |
<|im_start|>user
At a wedding reception, 125 guests ate chicken and 75 guests ate beef. If exactly 100 guests ate only one of the two types of meat, how many guests ate both types of meat?
Answer Choices: (A) 5 (B) 100 (C) 7 (D) 4 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Say x guests ate both types of ... | 42,757 |
<|im_start|>user
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6800 ?
Answer Choices: (A) 4966 (B) 6791 (C) 2877 (D) 2676 (E) 1881<|im_end|>
<|im_start|>assistant
<think>
</think>
Total sale for... | 50,647 |
<|im_start|>user
The famous church in the city of Kumbakonnam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 mins every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?
Answer Ch... | 83,969 |
<|im_start|>user
What is the median from the below series 90, 92, 93, 88, 95, 88, 97, 87, and 98
Answer Choices: (A) 76 (B) 79 (C) 92 (D) 94 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Ordering the data from least to greatest, we get:
87, 88, 88, 90, 92, 93, 95, 96, 98
The median quiz score was 92. (Four ... | 56,208 |
<|im_start|>user
What decreases with the loss of subsequent protons?
Answer choice: (A) example strength (B) Movement strength (C) seawater strength (D) acid strength<|im_end|>
<|im_start|>assistant
<think>
</think>
Polyprotic Acids and Bases As you learned in Chapter 4 "Reactions in Aqueous Solution", polyprotic aci... | 8,929 |
<|im_start|>user
A Prototype fuel-efficient car (P-Car) is estimated to get 70% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 30% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven t... | 55,251 |
<|im_start|>user
A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
Answer Choices: (A) 485 (B) 431 (C) 391 (D) 381 (E) 481<|im_end|>
<|im_start|>assistant
<think>
</think>
HCF of 323, 437 = 19
323 * 43... | 68,082 |
<|im_start|>user
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Answer Choices: (A) 2 : 5 (B) 2 : 8 (C) 2 : 1 (D) 2 : 0 (E) 2 : 2<|im_end|>
<|im_start|>assistant
<think>
</think>
The volume of the cone = (1/3)πr2h
Only radius (r) ... | 73,756 |
<|im_start|>user
The area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is?
Answer Choices: (A) 8.78 (B) 8.67 (C) 8.75 (D) 8.98 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(4 * 4.5)/2
= 9
The answer is E<|endoftext|> | 61,954 |
<|im_start|>user
The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher?
Answer Choices: (A) 30 (B) 35 (C) 38 (D) 40 (E) 45<|im_end|>
<|im_start|>assist... | 7,094 |
<|im_start|>user
William and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: William always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: ... | 31,460 |
<|im_start|>user
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 2,450. What was Simran share in the profit?
Answer Choices: (A) s 9500 (B) s 1000 (C) s 1,050 (D) s 1,100 (E) s 14,000<|im_end|>
<|im_s... | 61,498 |
<|im_start|>user
How many seconds does Sandy take to cover a distance of 700 meters, if Sandy runs at a speed of 18 km/hr?
Answer Choices: (A) 100 (B) 120 (C) 140 (D) 160 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
18 km/hr = 18000 m / 3600 s = 5 m/s
time = 700 / 5 = 140 seconds
The answer is C<|endoftex... | 27,569 |
<|im_start|>user
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 43 legs. How many cats does the ship host?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assi... | 80,721 |
<|im_start|>user
Prints a page 50 pg per min .If the printed for 2 hours except 15 min.Where there
was an paper jam,how many page did it print
Answer Choices: (A) 10,880 (B) 12,880 (C) 5,250 (D) 8,880 (E) 18,880<|im_end|>
<|im_start|>assistant
<think>
</think>
50 pages ------->1 min
2 hrs except 15 mints means=2*60=1... | 50,230 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 164 |
<|im_start|>user
What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
Answer Choices: (A) rs.600 (B) rs.601 (C) rs.602 (D) rs.603 (E) NONE OF THESE<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
PW=Amount/(1+R/100)t
The answer is C<|endoftext|> | 94,861 |
<|im_start|>user
The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Answer Choices: (A) 2261 (B) 2888 (C) 1200 (D) 800 (E) 2771<|im_end|>
<|im_start|>assistant
<think>
</think>
P --- 10 ---- 400
P... | 75,566 |
<|im_start|>user
A man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Answer Choices: (A) 5 minutes (B) 6 minutes (C) 8 minutes (D) 9 minute... | 47,308 |
<|im_start|>user
A student is ranked 17th from right and 5th from left. How many students are there in totality ?
Answer Choices: (A) 18 (B) 19 (C) 20 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
From right 17 , From left 5
Total = 17+5-1 = 21
The answer is D<|endoftext|> | 21,869 |
<|im_start|>user
A librarian has a set of ten books, including four different books about Abraham Lincoln. The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six books. How many different arrangements of the ten books are possible?
... | 61,980 |
<|im_start|>user
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = e is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-e, -k), then what are the coordinates of the point P?
Answer Choices: (A) (-5e, -5k) (B) (-3e, -3k) (C)... | 31,731 |
<|im_start|>user
Victor gets 90% marks in examinations. If these are 405 marks, find the maximum marks.
Answer Choices: (A) 334 (B) 500 (C) 376 (D) 450 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the maximum marks be m
Then 90 % of m = 405
⇒ 90/100 × m = 405
⇒ m = (405 × 100)/90
⇒ m = 40500/90
⇒ m = ... | 53,876 |
<|im_start|>user
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
Answer Choices: (A) 650 (B) 670 (C) 700 (D) 800 (E) 890<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 67,559 |
<|im_start|>user
A mixture of certain quantity of milk with 16 liters of water is worth 90 P per liter. If pure milk be worth Rs1.08 per liter, how much milk is there in the mixture?
Answer Choices: (A) 100 (B) 90 (C) 80 (D) 75 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
The mean value is 90 P and price o... | 5,358 |
<|im_start|>user
An even number, total of whose digits is 27, is always divisible by
Answer Choices: (A) 14 (B) 9 (C) 7 (D) 6 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
An even number is always divisible by 2.
Further, any number sum of whose digits is 27 ie,
(2 + 7 = 9) is always... | 24,048 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 24 years. The present age of the husband is
Answer Choices: (A) 40 (B) 32 (C) 45 (D) 55 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the present ages... | 38,100 |
<|im_start|>user
If a sum of money trebles itself in 40 years,what is the rate of interest?
Answer Choices: (A) 5% (B) 6% (C) 4% (D) 3% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the sum of money be Rs.x
After 40 years, this becomes 3x
Simple Interest = 3x - x = 2x
Simple Inte... | 9,588 |
<|im_start|>user
There are 81 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Answer Choices: (A) 4 (B) 7 (C) 27 (D) 21 (E) 37<|im_end|>
... | 6,814 |
<|im_start|>user
A snail, climbing a 36 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Answer Choices: ... | 15,533 |
<|im_start|>user
What area beneath the earth's surface do magma collects?
Answer choice: (A) magma chambers (B) hot chambers (C) underneath chambers (D) erosion chambers<|im_end|>
<|im_start|>assistant
<think>
</think>
Magma collects in magma chambers beneath Earth’s surface. Magma chambers are located where the heat... | 9,862 |
<|im_start|>user
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7000 less if they could find two more equal investors. How much is the total investment in the new business... | 16,853 |
<|im_start|>user
Making a specific prediction based on a general principle is known as what type of reasoning?
Answer choice: (A) common sense reasoning (B) deductive reasoning (C) logical reasoning (D) validating reasoning<|im_end|>
<|im_start|>assistant
<think>
</think>
In deductive reasoning, I make a specific pre... | 5,191 |
<|im_start|>user
60% of a number is added to 120, the result is the same number. Find the number?
Answer Choices: (A) 150 (B) 200 (C) 300 (D) 150 (E) 478<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(60/100) * X + 120 = X
2X = 600
X = 300
C
The answer is C<|endoftext|> | 46,671 |
<|im_start|>user
What sum of money will produce Rs.70 as simple interest in 3 years at 3 1/2 percent?
Answer Choices: (A) 667 (B) 500 (C) 266 (D) 288 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
70 = (P*3*7/2)/100
P = 667
The answer is A<|endoftext|> | 1,388 |
<|im_start|>user
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Answer Choices: (A) 277 (B) 266 (C) 299 (D) 600 (E) 261<|im_end|>
<|im_start|>assistant
<thin... | 61,752 |
<|im_start|>user
x = 13.165
y = 7.496
z = 11.575
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A... | 22,171 |
<|im_start|>user
A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Answer Choices: (A) 1/20 (B) 1/6 (C) 1/11 (D) 4/21 (E) 5/21<|im_end|>
<|im_start|>as... | 91,315 |
<|im_start|>user
By investing in 1623% stock at 64, one earns Rs. 1700. The investment made is
Answer Choices: (A) s. 9600 (B) s. 7500 (C) s. 5640 (D) s. 6528 (E) s. 6760<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of ... | 3,382 |
<|im_start|>user
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles.
what is the distance between the the two twins when they stop ?
Answer Choices: (A) 11 miles (B) 10 miles (C) 9 miles (D) 12... | 49,080 |
<|im_start|>user
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1800. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Answer Choices: (A) 30% (B) 75% (C) 40% (D) 70% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
The total CP = Rs. 16000 + ... | 40,770 |
<|im_start|>user
The S.I. on a certain sum of money for 5 years at 6% per annum is half the C.I. on Rs. 3000 for 2 years at 15% per annum. The sum placed on S.I. is?
Answer Choices: (A) 1525.2 (B) 1256.3 (C) 1612.5 (D) 1548.5 (E) 1254.5<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I. = [3000 * (1 + 15/100)2 - 3... | 78,839 |
<|im_start|>user
When two dice are rolled, what is the probability that the difference between the two numbers is 4?
Answer Choices: (A) 1/9 (B) 2/9 (C) 1/3 (D) 2/3 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
We have 4 outcomes that satisfy the question:
1-5
2-6
5-1
6-2.
the probabilit... | 84,935 |
<|im_start|>user
How many 2 digit number satisfy the following. that last digit of the square of the 2 digit number is 8 ?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) More than three (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
as no perfect square is having last digit as 8.
The answer is E<|endoftext|> | 88,557 |
<|im_start|>user
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year Item of Expenditure
Salary Taxes and Transport Bonus Interest on Loans Fuel
1998 288 98 3.00 23.4 83
1999 342 112 2.52 32.5 108
2000 324 101 3.84 41.6 74
2001 336 133 3.68 36.4 88
2002 420 142 3.96 49.4 98
The total amount ... | 63,440 |
<|im_start|>user
What is the main ingredient of mothballs?
Answer choice: (A) stable naphthalene (B) hydrocarbon naphthalene (C) processed naphthalene (D) ionized naphthalene<|im_end|>
<|im_start|>assistant
<think>
</think>
A: The main ingredient of mothballs is the hydrocarbon naphthalene. The main ingredient in nai... | 5,529 |
<|im_start|>user
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Answer Choices: (A) 0 sq m (B) 3 sq m (C) 2 sq m (D) 6 sq m (E) 8 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
S = (1 + 2 + 3)/2 = 3
=> No triangle exists
The answer is A<|endo... | 5,566 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 587 |
<|im_start|>user
There are 13 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Answer Choices: (A) 17/52 (B) 14/39 (C) 12/31 (D) 9/23 (... | 8,058 |
<|im_start|>user
If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
Answer Choices: (A) 5% (B) 10% (C) 12% (D) 15% (E) 17%<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. CP - = EC7 = 70 1-7 6 77-70 % Profit = 100 = 10%
B
The answer is B... | 51,330 |
<|im_start|>user
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Answer Choices: (A) 1888 (B) 1640 (C) 2768 (D) 2976 (E) 2691<|im_end|>
<|im_start|>assistant
<thi... | 91,119 |
<|im_start|>user
What is the term for the steep sloped side of a sand dune?
Answer choice: (A) front face (B) slip face (C) break face (D) slide face<|im_end|>
<|im_start|>assistant
<think>
</think>
A sand dune has a gentle slope on the side the wind blows from. The opposite side has a steep slope. This side is calle... | 10,189 |
<|im_start|>user
In expressing a length of 77.470 km as nearly as possible with the three significant digits, find the percentage error
Answer Choices: (A) 0.39% (B) 0.34% (C) 0.039% (D) 0.035% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Error = (77.5 - 77.470) = 0.03
Required perc... | 19,465 |
<|im_start|>user
A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?
Answer Choices: (A) 120/7 (B) 95/8 (C) 123/9 (D) 150/7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
1/30 + 1/40 = 7/120
Both can finish the work in 120/7 days
The answer is A<... | 55,984 |
<|im_start|>user
A man can row downstream at 22 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Answer Choices: (A) 13, 3 (B) 12, 6 (C) 15, 3 (D) 14, 4 (E) 16, 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the speed of the man in still... | 36,257 |
<|im_start|>user
In an examination 80% failed in Math and 20% failed in French. If 24% failed in both. What % of students passed in both.
Answer Choices: (A) 25% (B) 24% (C) 20% (D) 30% (E) 10%<|im_end|>
<|im_start|>assistant
<think>
</think>
Passed in Math = 100 - 80 = 20%
Passed in French = 100 - 20 = 80%
Students ... | 48,721 |
<|im_start|>user
The area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm. What is the perimeter of the square?
Answer Choices: (A) 380 cm (B) 264 cm (C) 252 cm (D) 324 cm (E) 296 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s = 3(49 * 27)
=> s =... | 62,974 |
<|im_start|>user
Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend?
Answer Choices: (A) $150 (B) $248.75 (C) $200 (D) $171.6 (E) $73.1025<|im_end|>
<|im_start|>assistant
<think>
</think>
$8.55*9=$73.1025.
The answer is E<|endof... | 3,947 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 1,926 |
<|im_start|>user
Each week, Harry is paid x dollars per hour for the first 35 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If H... | 79,408 |
<|im_start|>user
Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?
Answer Choices: (A) 1/8 (B) 1/3 (C) 1/6 (D) 1/2 (E) 5/3<|im_end|>
<|im_start|>assistant
<think>
</think>
A's one day's work = 1/30
B's one d... | 43,849 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 2,106 |
<|im_start|>user
If x is divisible by 2, 14, and 10, which of the following must be the least multiple of x?
Answer Choices: (A) 308 (B) 154 (C) 70 (D) 44 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
We are looking for the LCM (which is not 0) of 2, 10 = 2*5, 14 = 2*7:
2 * 5 * 7 = 70
The answer is C<|endof... | 80,960 |
<|im_start|>user
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzal... | 34,474 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 330 |
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