text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Two persons start running simultaneously around a circular track of length 700 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer Choices: (A) 16 seconds (B) 28 seconds (C) 49 seconds ... | 22,930 |
<|im_start|>user
A can complete a project in 30 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Answer Choices: (A) 18 days (B) 27 days (C) 26.67 days (D) 5 days (E)... | 29,757 |
<|im_start|>user
For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14
Answer Choices: (A) a) 12 (B) b) 6 (C) c) 10 (D) d) 16 (E) e) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 28, which isn't ev... | 64,957 |
<|im_start|>user
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in t... | 78,669 |
<|im_start|>user
The S.I. on a certain sum of money for 3 years at 5% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Answer Choices: (A) 2197 (B) 2800 (C) 1750 (D) 2267 (E) 1262<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
C.I. = [4000 * (1 + 10/100)2 ... | 87,276 |
<|im_start|>user
The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Answer Choices: (A) 248 (B) 240 (C) 228 (D) 236 (E) 246<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 10,818 |
<|im_start|>user
Involved in balance, the semicircular canals are parts of what organs?
Answer choice: (A) eyes (B) ears (C) lungs (D) ovaries<|im_end|>
<|im_start|>assistant
<think>
</think>
The parts of the ears involved in balance are the semicircular canals. These are the curved structures above the cochlea in th... | 2,100 |
<|im_start|>user
A mineral can be made of an element or a?
Answer choice: (A) Sediment (B) component (C) compound (D) cell<|im_end|>
<|im_start|>assistant
<think>
</think>
A mineral is a solid material that forms by a natural process. A mineral can be made of an element or a compound. It has a specific chemical compo... | 8,226 |
<|im_start|>user
If a certain sample of data has a mean of 25.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Answer Choices: (A) 12.0 (B) 13.5 (C) 17.0 (D) 23.5 (E) 26.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Value ismore than 2.5SDfrom t... | 57,630 |
<|im_start|>user
How many atoms of oxygen does silicon dioxide contain?
Answer choice: (A) three (B) six (C) one (D) two<|im_end|>
<|im_start|>assistant
<think>
</think>
The name silicon dioxide implies one silicon atom and two oxygen atoms, so the formula is SiO2. We have a name that has numerical prefixes on both e... | 9,666 |
<|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 ip sound.
The words lake and make rhyme. They both end with the ake sound.
The words tip and lake don't rhyme. They e... | 4,802 |
<|im_start|>user
Calculate the largest 3 digit number which is exactly divisible by 89?
Answer Choices: (A) 911 (B) 969 (C) 979 (D) 977 (E) 971<|im_end|>
<|im_start|>assistant
<think>
</think>
Largest 4 digit number is 999
After doing 999 ÷ 89 we get remainder 20
Hence largest 3 digit number exactly divisible by 89 =... | 4,077 |
<|im_start|>user
A rectangular-shaped carpet that measures x feet by y feet is priced at $8. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Answer Choices: (A) 72/(xy) (B) 90xy (C) xy/90 (D) xy/10 (E) 10/(xy) <|im_end|>
<|im_start|>assistant
<think>
</think>
The area of t... | 80,643 |
<|im_start|>user
10 men can cut 10 trees in 2 hours. If 2men leave the job, how many trees will be cut in 3 hours?
Answer Choices: (A) 12 (B) 15 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
10 men - working 2 hrs - cut 10 trees
1men - working 1hr - cuts = 10/10*2
Thus 8 men - working 3hrs - c... | 39,174 |
<|im_start|>user
A sum of Rs. 1800 amounts to Rs. 9000 in 4 years at the rate of simple interest. What is the rate of interest?
Answer Choices: (A) 50% (B) 75% (C) 100% (D) 60% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. = (9000 - 1800) = Rs. 7200\
Rate = (100 * 7200) / (1800* 4)
= 100%
The answer i... | 29,897 |
<|im_start|>user
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes?
Answer Choices: (A) 430 (B) 450 (C) 436 (D) 434 (E) 422<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total number of valid vot... | 19,452 |
<|im_start|>user
What is the name of the procedure where an unknown compound can be analyzed in the laboratory in order to determine the percentages of each element contained within it?
Answer choice: (A) elemental analysis (B) electrical analysis (C) chemical analysis (D) gaseous analysis<|im_end|>
<|im_start|>assista... | 10,806 |
<|im_start|>user
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/e, which of the following statements could be false?
Answer Choices: (A) n is a factor of both a and b (B) (a*b) /n < ab (C) ab is multiple of 2. (D) (a*b) /n is a multiple of 2. (E) e is a multiple of 4... | 4,617 |
<|im_start|>user
I. x2 + 5x + 6 = 0,
II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
Answer Choices: (A) If x < y (B) If x > y (C) If x ≤ y (D) If x ≥ y (E) If x = y or the relationship between x and y cannot be established.<|im_end|>
<|im_start|>assistant
<think>
</think>
I. x2 + 3x + ... | 50,039 |
<|im_start|>user
the difference between a positive fraction and its reciprocal is 9/20 find the sum of that fraction and its reciprocal.
Answer Choices: (A) 41/20 (B) 17/20 (C) 11/20 (D) 9/20 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the fraction = x
Then x − (1/x) = 9/20
⇒ ... | 65,934 |
<|im_start|>user
The number 181 can be written as sum of the squares of 2 different positive integers. What is the difference of these 2 different integers?
Answer Choices: (A) 3 (B) 2 (C) 1 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of the squares of 2 different positive integers = 181
10^2 + 9... | 90,341 |
<|im_start|>user
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Answer Choices: (A) 3566 (B) 5467 (C) 4132 (D) 3526 (E) 3782<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the radii of the smaller and the larger circl... | 16,897 |
<|im_start|>user
A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 9,800 sedans in Anytown, how many motorcycles are there?
Answer Choices: (A) 2800 (B) 2100 (C) 3600 (D) 4200 (E) 5200<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 72,106 |
<|im_start|>user
Yali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build t... | 85,849 |
<|im_start|>user
There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two boys sit together?
Answer Choices: (A) A) 2*6!6!/12! (B) B) 6!5!/12! (C) C) 6!6!/12! (D) D) 6!/12! (E) E) 6!7!/12!<|im_end|>
<|im_start|>assistant
<think>
</think>
If girls are alternate, then only no... | 92,860 |
<|im_start|>user
Eggs are sold in packages of six or ten only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
Answer Choices: (A) 6. (B) 2. (C) 3. (D) 5. (E) 7.<|im_end|>
<|im_start|>assistant
<think>
</think>
No strategy involved. Simple question demanding fast calculation.
10... | 86,459 |
<|im_start|>user
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 4 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Answer Choi... | 19,183 |
<|im_start|>user
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?
Answer Choices: (A) 35 (B) 49 (C) 100 (D) 105 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution 1:
Assume the iodine solution to be mixed = x lts.
Iodine ... | 7,072 |
<|im_start|>user
An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?
Answer Choices: (A) 12.50% (B) 12% (C) 13.50% (D) 13% (E) 11%<|im_end|>
<|im_start|>assistant
<thin... | 82,908 |
<|im_start|>user
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 60 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 1055 (B) B) 1075 (C) C) 1065 (D) D) 1070 (E) E) 1100<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 8 kg grapes = 70 ×... | 28,153 |
<|im_start|>user
The difference between the local value and face value of 7 in the numeral 657903 is:
Answer Choices: (A) 0 (B) 7896 (C) 6993 (D) 903 (E) 803<|im_end|>
<|im_start|>assistant
<think>
</think>
(Local value)-(Face value)= (7000-7)
=6993.
The answer is C<|endoftext|> | 93,266 |
<|im_start|>user
A train runs at the speed of 72 kmph and crosses a 250 metre long platform in 26 seconds. What is the length of the train?
Answer Choices: (A) 270 m (B) 200 m (C) 400 m (D) 340 m (E) 150 m<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 72 * 5/18 = 20 m/s
length of the train - x m
distance c... | 72,517 |
<|im_start|>user
2 – [2 – {2 – 2 (2 + 2)}] = ?
Answer Choices: (A) -4 (B) 4 (C) 6 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given exp. = 2 - [2-{2-2×4}]
= 2 -[2-{2-8}]
= 2-[2-(-6)]
= 2-[2+6]
= 2-8
= -6
The answer is D<|endoftext|> | 77,749 |
<|im_start|>user
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Answer Choices: (A) 7 (B) 8 (C) 5 (D) 2 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
The answer... | 22,047 |
<|im_start|>user
Peter can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance.
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total distance be x km . Then,
=(2 x/3)/4 + (1x/3... | 77,235 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Hanukkah is a holiday in which religion?
Answer Choices: (A) Islam (B) Judaism (C) Hinduism (D) Christianity<|im_end|>
<|im_start|>assistant
<think>
</think>
Hanukkah is a holiday in the religion of Judaism. Fo... | 4,619 |
<|im_start|>user
Sripad has scored average of 60 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Answer Choices: (A) 79 (B) 64 (C) 38 (D) 27 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</... | 18,629 |
<|im_start|>user
A train 108 m long moving at a speed of 50 kmph crosses a train 112 m long coming from opp direction in 6 seconds.The speed of the second train is
Answer Choices: (A) 48 kmph (B) 54 kmph (C) 66 kmph (D) 82 kmph (E) 69 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
both trains are moving in opp... | 47,758 |
<|im_start|>user
There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 78 possible combinations in which Michael is not selected, what is the value of n?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|... | 26,206 |
<|im_start|>user
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Answer Choices: (A) 30 (B) 40 (C) 20 (D) 50 (E) 60<|im_end|>
<|im_start|>assis... | 27,298 |
<|im_start|>user
Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald ca... | 32,048 |
<|im_start|>user
n^(n/2)=4 is true when n=4 in the same way what is the value of n if n^(n/2) =8?
Answer Choices: (A) 4 (B) 8 (C) 2 (D) 6 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
n^(n/2)=8
Apply log
N/2logn=log8
nlogn=2log8=log8^2=log64
Logn=log64
Now apply antilog
n=64/n
Now n=8.
The answer is B<|endo... | 61,868 |
<|im_start|>user
The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Answer Choices: (A) 200 m (B) 235 m (C) 245 m (D) 250 m (E) 270 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the bridge:L
The equation now is L+140/12.5m/s(45km/hr o... | 63,793 |
<|im_start|>user
In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?
Answer Choices: (A) 4/51 (B) 10/21 (C) 7/12 (D) 5/21 (E) 13/17<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 10+6+5 = 21
E = even... | 57,414 |
<|im_start|>user
Two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Answer Choices: (A) 7.18 (B) 7.12 (C) 7.3 (D) 7.45 (E) 7.51<... | 90,305 |
<|im_start|>user
A can run 4 times as fast as B and gives B a start of 75 m. How long should the race course be so that A and B might reach in the same time?
Answer Choices: (A) 70 m (B) 60 m (C) 100 m (D) 65 m (E) 75 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of A:Speed of B=4:1
means in a race of 4m A... | 21,511 |
<|im_start|>user
Alex is shuffling a pack of cards (54 cards in total) and after some time, he takes out a joker card.
Now, he splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?
Answer Choices: (A) 5/6227020800 (B) 4/6227020800... | 57,349 |
<|im_start|>user
A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
Answer Choices: (A) 28 (B) 32 (C) 36 (D) 24 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total distance traveled = Length of train + Length of tunnel = 575 + 325 = 900
Time ta... | 10,913 |
<|im_start|>user
A bus leaves Burbank at 8:00 a.m. traveling east at 60 miles per hour. At 2:00 p.m. a plane leaves Burbank traveling east at 300 miles per hour. At what time will the plane overtake the bus?
Answer Choices: (A) 1:30 p.m. (B) 2:50 p.m. (C) 3:00 p.m. (D) 3:30 p.m. (E) 2:25 p.m.<|im_end|>
<|im_start|>assi... | 20,248 |
<|im_start|>user
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Answer Choices: (A) 27 hrs (B) 29 hrs (C) 28 hrs (D) 90 hrs (E) 98 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
1/9 - 1/x = 1/... | 20,167 |
<|im_start|>user
A man by motorcycle goes from Delhi to Bharatpur , a distance of 192 km, at an average speed of 32 kmph. Another man starts from Delhi by car 2.5 h after the motorcyclist starts and reaches Bharatpur half an hour late. What is the ratio of person on the motorcycle to the person going by car ?
Answer Ch... | 70,876 |
<|im_start|>user
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Answer Choices: (A) 35.55 km/hr (B) 36 km/hr (C) 71 km/hr (D) 71.11 km/hr (E) 70 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken =((160/64)+(1... | 27,549 |
<|im_start|>user
Find the largest number of four digits which is exactly divisible by 25,18,12,15
Answer Choices: (A) 9900 (B) 9710 (C) 9720 (D) 9730 (E) 9740<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
LCM of 25-18-12-15 is 900.
After dividing 9999 by 900 we get 99 remainder.
So answer will be 9999... | 31,143 |
<|im_start|>user
How many 3 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITH REPETITION)
Answer Choices: (A) 216 (B) 133 (C) 240 (D) 600 (E) 305<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisibilty rule for 3: Sum of all digits is a multiple of 3
Selections for th... | 91,825 |
<|im_start|>user
A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Answer Choices: (A) s.3988 (B) s.3900 (C) s.3228 (D) s.4200 (E) s.... | 82,259 |
<|im_start|>user
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 11 sec (B) 30 sec (C) 77 sec (D) 14 sec (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train r... | 23,432 |
<|im_start|>user
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Answer Choices: (A) 22 (B) 88 (C) 27 (D) 20 (E) 98<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? è 20.
The answer is D<|endoftext|> | 36,931 |
<|im_start|>user
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Thursday, what was the expected day when both the brothers were to return home and when did Rohit Return?
Answer Choices: (A) Wednesday, Sunday (B) Thursday, Mo... | 85,052 |
<|im_start|>user
The average of first five multiples of 2 is :
Answer Choices: (A) 3 (B) 9 (C) 12 (D) 15 (E) E<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Average = 2(1+2+3+4+5)/5 =30/5 =6
The answer is E<|endoftext|> | 37,495 |
<|im_start|>user
A reduction of 25% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Answer Choices: (A) s.2.8 (B) s.2.4 (C) s.2.5 (D) s.2.2 (E) s.3.33<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(25/100) = 25 --- 10
? --- 1 => Rs.2.5
100 --- 75
? --- 2.5 =... | 31,551 |
<|im_start|>user
Last year Department Store X had a sales total for December that was 6 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
Answer Choices: (A) 6/17 (B) 4/15 (C) 1/3 (D) 4/11 (E) 4/5... | 12,840 |
<|im_start|>user
Which of the following numbers has only one prime factor?
Answer Choices: (A) 16 (B) 19 (C) 22 (D) 30 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
16=2^4
19=19
22=2*11
30=2*3*5
32=2^5
19 has 1 distinct prime factor
The answer is B<|endoftext|> | 7,964 |
<|im_start|>user
61 + 5 * 12 / (180/3) = ?
Answer Choices: (A) 22 (B) 77 (C) 29 (D) 62 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
61 + 5 * 12 / (180/3) = 61 + 5 * 12 / (60)
= 61 + (5 * 12)/60 = 61 + 1 = 62.
The answer is D<|endoftext|> | 80,436 |
<|im_start|>user
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Answer Choices: (A) 15 years (B) 31 years (C)... | 86,217 |
<|im_start|>user
The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Answer Choices: (A) 122 (B) 156 (C) 118 (D) 125 (E) 123<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 11 = 11 * 44 = 484
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 3... | 34,097 |
<|im_start|>user
I. a2 - 13a + 42 = 0,
II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b?
Answer Choices: (A) If a > b (B) If a ≥ b (C) If a < b (D) If a ≤ b (E) If a = b or the relationship between a and b cannot be established.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 50,512 |
<|im_start|>user
What is the next number in the sequence below? 1 4 9 16 25 36 49 64 81 100 __ ?
Answer Choices: (A) 64 (B) 46 (C) 81 (D) 100 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
as the series of numbers are squares of numbers
1^2=1
2^2=4
3^2=9
and so on
therefore 11^2=121
The answer is E<|endofte... | 71,996 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The title of a book, movie, play, TV show, magazine, or newspaper should be in italics. If you write it by hand, it can be underlined instead.
A Midsummer Night's Dream
The title of a poem, song, article, or short story shou... | 6,370 |
<|im_start|>user
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 340 m long?
Answer Choices: (A) 38 sec (B) 35 sec (C) 44 sec (D) 40 sec (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 km/hr = 45 × (5/18) m/s
= 150/12 = 50/4 = 25/2 m/s
Total distance ... | 77,723 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 3,484 |
<|im_start|>user
A person borrows Rs. 7000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Answer Choices: (A) 100 rs (B) 150 rs (C) 140 rs (D) 180 rs (E) 200 rs<|im_end|>
<|im_start|>assistant
<think>
</think>
Gain in ... | 93,733 |
<|im_start|>user
How many different ways can 2 students be seated in a row of 7 desks, so that there is always at least one empty desk between the students?
Answer Choices: (A) 2 (B) 3 (C) 30 (D) 6 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
15 ways to seat the students:
with two empty seats between
... | 38,654 |
<|im_start|>user
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.6, 0.7, and 0.8 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons... | 86,511 |
<|im_start|>user
Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 45 days. On which day of the week in February was the task completed?
Answer Choices: (A) Tuesday (B) Wednesday (C) Saturday (D) Sunday (E) Monday<|im_end|>
<|im_start|>assistant... | 77,994 |
<|im_start|>user
In a card game, a combination of three aces beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Answer Choices: (A) 1/5000 (B) 1/5520 (C) 1/5525 (D) 1/5545 (E) 1/5600<|im_end|>
<|im_start|>ass... | 27,848 |
<|im_start|>user
The least number, which when divided by 12, 15, 20 and 63 leaves in each case a remainder of 8 is:
Answer Choices: (A) 448 (B) 488 (C) 542 (D) 1268 (E) 560<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (L.C.M. of 12, 15, 20, 63) + 8
= 1260+ 8
= 1268.
The answer is D<|endoftext|> | 44,100 |
<|im_start|>user
A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30 profit and a pair of woollen trousers is sold at 50 profit. The salesman has calculated that if he sells 100 more woollen trousers than cotton trousers, his overall profit will be 45. However he ends up ... | 7,608 |
<|im_start|>user
During a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Answer Choices: (A) 180 (B) 170 (C) 156 (D) 150 (E) 100<|im_end|>
<|im_sta... | 2,040 |
<|im_start|>user
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at... | 23,272 |
<|im_start|>user
If five students are made to sit in a row, then 6 don't have seats. If 12 students are made to sit in a row, then three rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
Answer Choices: (A) 0 (B) 1 (C) 4 (D) 5 (E) 6<|im_end|... | 84,241 |
<|im_start|>user
If each of 3 digit code is formed of integers from 1 to 20, inclusively, and each of the digits are different, how many possible codes are there?
Answer Choices: (A) 6,040 (B) 6,840 (C) 6,240 (D) 6,340 (E) 8,440<|im_end|>
<|im_start|>assistant
<think>
</think>
Code consists of 3 digits and no digit i... | 39,019 |
<|im_start|>user
The total weight of six nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Answer Choices: (A) 0.18 oz. (B) 0.5 oz. (C) 1.8 oz. (D) 5 oz. (E) 18 oz<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = Total/Number of items
= 3/6 = 0.5.
Hence, B
The a... | 42,572 |
<|im_start|>user
David has $1,500 at the beginning of his trip, after spending money, he still has exactly $500 less than he spent on the trip. How much money does John still have?
Answer Choices: (A) $200 (B) $400 (C) $500 (D) $800 (E) $1,200<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose total money spent... | 77,442 |
<|im_start|>user
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Answer Choices: (A) 4/5 km (B) 9/5 km (C) 4/8 km (D) 4/9 km (E) 4/1 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 31,479 |
<|im_start|>user
Two pipes A and B can fill a tank in 15 min and 18 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Answer Choices: (A) 14 min 19 sec (B) 13 min 36 sec (C) 14 min 20 sec (D) 14 min 40 sec (E) 14 min 10 sec<|im_... | 11,650 |
<|im_start|>user
Three unbased coins are tossed. the probability of getting at most three T is ?
Answer Choices: (A) 1/2 (B) 7/8 (C) 3/4 (D) 1/8 (E) 2/3<|im_end|>
<|im_start|>assistant
<think>
</think>
S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}
E be the event of getting at least two head is {TTT}
P(E)=n(E)/n(S)=1/8
The answ... | 66,064 |
<|im_start|>user
If the ratio of the roots of the equation 2x2-6x+q=0 is equal to that of the roots 3x2-6x+s=0, then:
Answer Choices: (A) 2s=q (B) s=q (C) 2q=s (D) 4s-q (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
2x2-6x+q=0 for this eqn... roots are R1=6/2=3 R2=-q/2
3x2-6x+s=0 for this eqn... roots are ... | 35,730 |
<|im_start|>user
Melting ice and grinding wood into sawdust are examples of what?
Answer choice: (A) chemical changes (B) reversible changes (C) physical changes (D) unpredictable changes<|im_end|>
<|im_start|>assistant
<think>
</think>
Melting ice and grinding wood into sawdust are examples of physical changes.
The ... | 1,900 |
<|im_start|>user
Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, on... | 56,941 |
<|im_start|>user
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 24 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ini... | 37,110 |
<|im_start|>user
The sticky stigma at the tip of the carpel receives what?
Answer choice: (A) pollen (B) bacteria (C) salt (D) nitrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 2,891 |
<|im_start|>user
What is the term for the process by which a solid changes directly into a gas without becoming a liquid?
Answer choice: (A) Sublimation. (B) Evaporation. (C) Melting. (D) Condensation.<|im_end|>
<|im_start|>assistant
<think>
</think>
Sublimation is the phase transition in which a solid changes direct... | 18 |
<|im_start|>user
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $5 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
Ans... | 33,975 |
<|im_start|>user
A piece of equipment cost a certain factory Rs 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
Answer Choices: (A) Rs2,00,000 (B) Rs1,05,000 (C) Rs... | 36,756 |
<|im_start|>user
If 4 girls can color 48 m long cloth in 2 days, then 6 girls can color 36 m long cloth in
Answer Choices: (A) 1 1/5 days (B) 1/5 day (C) 1 day (D) 2 days (E) 3 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one girl in one day = 48 / 4 × 2 = 6 m
No. of days requi... | 26,211 |
<|im_start|>user
total 52 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Answer Choices: (A) 60 (B) 51 (C) 53 (D) 56 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
51 players
The answer is B<|endoftext|> | 27,164 |
<|im_start|>user
Twenty four meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
Answer Choices: (A) 2√2 (B) 2√5 (C) 6 (D) 4√2 (E) none of these<|im_end|>
<|im_st... | 32,707 |
<|im_start|>user
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 15 days to complete the same work. then Q alone can do it in
Answer Choices: (A) 20 (B) 22 (C) 25 (D) 27 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</... | 47,660 |
<|im_start|>user
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
Answer Choices: (A) 897 (B) 197 (C) 697 (D) 997 (E) 397<|im_end|>
<|im_start|>assistant
<think>
</think>
According to the division process of whole numbers, N can be written, using multiplication, as follows
N... | 66,596 |
<|im_start|>user
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Answer Choices: (A) 8% (B) 6% (C) 9% (D) 10% (E) 11%<|im_end|>
<|im_start|>assistant
<think>
</think>
Rs 1552 income = Rs 128
By investing Rs 97 income = 128/1552*97 = Rs 8
Divdend = 8%
The answer... | 83,705 |
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