text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
325 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Answer Choices: (A) 13 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
26 trees have 25 gaps between them,
Required dista... | 84,530 |
<|im_start|>user
A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?
Answer Choices: (A) 17/42 (B) 18/27 (C) 5/42 (D) 3/15 (E) 15/47<|im_end|>
<|im_start|>assistant
<think>
</think>
3 letters can be choosen ou... | 75,848 |
<|im_start|>user
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many R minutes it takes John to reach the station?
Answer Choices: (A) 5 min (B) 6... | 54,940 |
<|im_start|>user
The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Answer Choices: (A) 8 (B) 12 (C) 15 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let origin... | 41,851 |
<|im_start|>user
Car A is 24 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of C... | 60,091 |
<|im_start|>user
Angela, Bernie, and Colleen can complete a job, all working together, in 3 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Colleen, working alone, to complete the entire job?
Answer Choices: (A) 7.5 hours (B) 10 hours (C... | 25,409 |
<|im_start|>user
Find the fourth proportional to 0.2,0.12 and 0.3?
Answer Choices: (A) 0.18 (B) 0.21 (C) 0.22 (D) 0.34 (E) 0.45<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = Fourth propotional = (b × c)/a
A = 0.2 , B = 0.12 and C = 0.3
(0.12 × 0.3)/0.2
0.036/0.2 = 0.18
A
The answer is A<|endoftext|> | 44,699 |
<|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.
Anaphora is the repetition of the same word or words at the beginning of several phrases or clau... | 3,456 |
<|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+R100)T.
The answer is C<|endoftext|> | 27,733 |
<|im_start|>user
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
An... | 49,775 |
<|im_start|>user
The current birth rate per thousand is 52, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by?
Answer Choices: (A) 4.1% (B) 3.2% (C) 3.9% (D) 4% (E) 5.1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Net growth on 1000 =... | 92,858 |
<|im_start|>user
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Answer Choices: (A) 9 (B) 8 (C) 6 (D) 45 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
There are five letters in the given word.
Consider 5 blanks ....
The first blank and last blank m... | 12,599 |
<|im_start|>user
Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets did Irwin score?
Ans... | 52,794 |
<|im_start|>user
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Answer Choices: (A) 109.12 m. (B) 104.12 m. (C) 111.12 m. (D) 211.12 m. (E) 132.12 m.<|im_end|>
<|im_start|>assistant
<think>
</think>
C
111.12 m.
A runs 1000 m while B runs 900 ... | 87,627 |
<|im_start|>user
Evaluate 28% of 450 + 45% of 280
Answer Choices: (A) 232 (B) 242 (C) 252 (D) 262 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
= (28/100) * 450 + (45/100) * 280
= 126 + 126 = 252
The answer is C<|endoftext|> | 7,045 |
<|im_start|>user
Two cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being Queens?
Answer Choices: (A) 1/221 (B) 1/712 (C) 1/224 (D) 1/212 (E) 1/232<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of Queens = 4
Total number of cards = 52
P(Queen in f... | 55,523 |
<|im_start|>user
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Answer Choices: (A) 153mph (B) 253mph (C) 353mph (D) 453mph (E) 553mph<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 4,516 |
<|im_start|>user
If 18 is 15 percent of 20 percent of a certain number, what is the number?
Answer Choices: (A) 9 (B) 36 (C) 40 (D) 600 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the certain number be x.
=> (15/100)*(20/100)*x = 18;
300x=18*10000;
3x = 1800;
x=1800/3
=> x=600;
The answer is D<|endof... | 78,840 |
<|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... | 4,604 |
<|im_start|>user
x is a set containing 8 different positive odd numbers. y is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Answer Choices: (A) The range of y is even. (B) The mean of x is even. (C) The mean of y is even. (D) The range of x is equ... | 93,815 |
<|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) 10 m (B) 16 m (C) 245 m (D) 19 m (E) 235 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of brid... | 69,486 |
<|im_start|>user
What is the greatest prime factor of 12!11! + 11!10!?
Answer Choices: (A) 7 (B) 11 (C) 13 (D) 17 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:
12!11!+11!10!= 12*11*10!*11*10!+11*10!*10!=10!*10!*11(11*12+1)=10!*10!*11*133=10!*10!*11*19*7
greatest prime factor in 10! is 7 which is less ... | 73,779 |
<|im_start|>user
In chemical reactions, what substances can act like metals or nonmetals, depending on their number of electrons?
Answer choice: (A) diacritics (B) minerals (C) metalloids (D) synthetics<|im_end|>
<|im_start|>assistant
<think>
</think>
How metalloids behave in chemical interactions with other elements... | 2,649 |
<|im_start|>user
The list price of an article is Rs.70. A customer pays Rs.59.85 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Answer Choices: (A) 8% (B) 7% (C) 10% (D) 6% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Option E
Explanation:
70*(90/100)*((100-x)/... | 58,238 |
<|im_start|>user
Chemistry is the study of matter and energy and how they what?
Answer choice: (A) distinct (B) interact (C) division (D) interaction<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemistry is the study of matter and energy and how they interact, mainly at the level of atoms and molecules. Basic co... | 3,447 |
<|im_start|>user
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.32, find the sum of money?
Answer Choices: (A) 288 (B) 262 (C) 72 (D) 205 (E) 164<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B:C = 100:65:40
= 20:13:8
8 ---- 32
41 ... | 66,134 |
<|im_start|>user
If x, y, and z are positive integers and 3x = 4y = 7z, then the least possible value of x - y + z is
Answer Choices: (A) 33 (B) 40 (C) 49 (D) 19 (E) 61<|im_end|>
<|im_start|>assistant
<think>
</think>
x - y + z = - 3x/4 + x + 3x/7
= (- 21 + 28 + 12 )x/28 = 19x/28
19 is not divisible by 28(it's a prim... | 54,908 |
<|im_start|>user
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,814,477 minutes earlier? (Assume standard time in one location.)
Answer Choices: (A) 6:41 (B) 6:35 (C) 6:33 (D) 6:30 (E) 6:27<|im_end|>
<|im_start|>assistant
<think>
</think>
6:27 minus 2,814,477 in any way must ... | 93,012 |
<|im_start|>user
What disease occurs when cells in the breast grow out of control and form a tumor?
Answer choice: (A) adult breast growth (B) muscle cancer (C) muscular cyst (D) breast cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
Breast cancer is the most common type of cancer in females. It occurs when c... | 11,518 |
<|im_start|>user
A scientific research study examined a large number of young foxes, that is, foxes between 1 year and 2 years old. The study found that 80% of the young foxes caught a rabbit at least once, and 60% caught a songbird at least once If 10% of the young foxes never caught either a rabbit or a songbird, the... | 46,310 |
<|im_start|>user
The average of 7 consecutive numbers is 20. The largest of these numbers is
Answer Choices: (A) 20 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the first number be x, Then the last number is ( x+6)
Average = (x+(x+1)+(x+2)+(x+3)+(x+3)+(x+4)+(x+5)+(x+6))/7 = 20
7x +... | 8,066 |
<|im_start|>user
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Answer Choices: (A) 2/5 (B) 1/3 (C) 2/7 (D) 3/5 (E) 1/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let b stand for boy and g for girl. The sample space of the experiment i... | 69,186 |
<|im_start|>user
John and David can finish a job together in 2 hours. If John can do the job by himself in 3 hours, what percent of the job does David do?
Answer Choices: (A) 36.33% (B) 33.33% (C) 39.33% (D) 40.33% (E) 33%<|im_end|>
<|im_start|>assistant
<think>
</think>
You can also plug in numbers. For example, Bob... | 81,229 |
<|im_start|>user
The cost of a car was $3,000 in 1960. In 2010, the price had increased to $5,000. What was the percent increase in the cost of the car?
Answer Choices: (A) 33.3% (B) 45% (C) 60% (D) 66.6% (E) 55.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = 5000-3000 = 2000
% increase = 2000*100/3000... | 7,475 |
<|im_start|>user
In the first 5 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 200 runs?
Answer Choices: (A) 6.25 (B) 6.28 (C) 6.31 (D) 6.19 (E) 6.21<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate
= [200 - (2.1 * 5)]/30
... | 83,891 |
<|im_start|>user
A water tank is two-third full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Answer Choices: (A) 6 min. to empty (B) 6 min. to full (C) 10 min. to empty (D) 9 min. to full (E) 8 min. to... | 19,841 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Answer Choices: (A) 16 2/3% loss (B) 100/3% loss (C) 50/3% profit (D) 100/3% loss (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
The ... | 84,180 |
<|im_start|>user
A is twice as good workman as B, and together they complete a work in 3 days. In how many days can the work be complete by B alone?
Answer Choices: (A) 35 days (B) 65 days (C) 9 days (D) 75 days (E) 95 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B=3A
9 days
C
The answer is C<|endoftext|> | 21,108 |
<|im_start|>user
When the positive integer r is divided by 11, the quotient is s and the remainder 3. When r is divided by 19, the remainder is also 3. What is the remainder when s is divided by 19?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Any Number which when di... | 46,044 |
<|im_start|>user
Excluding stoppages, the average speed of a bus is 75 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Answer Choices: (A) 15 min (B) 18 min (C) 16 min (D) 20 min (E) 28 min<|im_end|>
<|im_start|>assistant
<think>
</think>
In 1h... | 66,595 |
<|im_start|>user
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
... | 96,830 |
<|im_start|>user
The floor of a rectangular room is 20 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Answer Choices: (A) 144 m2 (B) 120 m2 (C) 108 m2 (D) 158 m2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the outer ... | 64,829 |
<|im_start|>user
During birth, a baby passes from the uterus through what organ to leave the body?
Answer choice: (A) Ovary (B) the urethra (C) the vagina (D) Esophagus<|im_end|>
<|im_start|>assistant
<think>
</think>
The vagina is a cylinder-shaped organ that opens to the outside of the body. The other end joins wit... | 10,448 |
<|im_start|>user
A thief runs away from A with a speed of 20 km/hr. A police from a station 60 km away started chasing him after 1 hr. with a speed of 40 km/hr. Time taken by the police to catch the thief is :
Answer Choices: (A) 4 hrs (B) 4.5 hrs (C) 5.4 hrs (D) 6 hrs. (E) None of these<|im_end|>
<|im_start|>assistant... | 20,650 |
<|im_start|>user
Find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6.
Answer Choices: (A) 187 (B) 197 (C) 207 (D) 136 (E) 227<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 'N' is the smallest number which divided by 11 and 13 leaves respective remainders of 4 and 6.... | 17,546 |
<|im_start|>user
53, 53, 40, 40, 27, 27, ?
Answer Choices: (A) 14 (B) 12 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
First, each number is repeated, then 13 is subtracted to arrive at the next number.
The answer is A<|endoftext|> | 6,253 |
<|im_start|>user
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Answer Choices: (A) 60 cm2 (B) 30 centimeter sqaure (C) 45 cm2 (D) 15 cm2 (E) None of these.<|im_end|>
<|im_start|>assistant
<think>... | 2,066 |
<|im_start|>user
From the below series find the remainder from below? 1201 × 1203 ×1205 × 1207 is divided by 6
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
If you don't know the above rule, this problem is really calculation intensive.
But by applying the above rule, ... | 21,405 |
<|im_start|>user
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
Answer Choices: (A) 33 (B) 278 (C) 75 (D) 978 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The hour hand moves from pointing to 12 to pointing to half wa... | 38,355 |
<|im_start|>user
5358 x 51 = ?
Answer Choices: (A) 273258 (B) 273268 (C) 273348 (D) 273358 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
=5358 x 51 = 5358 x (50-1)
=5358 x 50 + 5358 x 1
=267900 + 5358 = 273258
The answer is A<|endoftext|> | 54,945 |
<|im_start|>user
What is created by the polymerization of glucose?
Answer choice: (A) cellulose (B) methane (C) glucose (D) carbonate<|im_end|>
<|im_start|>assistant
<think>
</think>
Zachary Wilson. Cellulose is created by the polymerization of glucose . CC BY-NC 3.0.
The answer is A<|endoftext|> | 11,398 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 14,950, Deepak's share is:?
Answer Choices: (A) s.8467 (B) s.9100 (C) s.8400 (D) s.8429 (E) s.8420<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares
= 22500 : 35000
... | 26,190 |
<|im_start|>user
What number comes next in this Number series.
5 3 4 4 6 9 7 ?
*Hint: check calende
Answer Choices: (A) 8 (B) 3 (C) 6 (D) 1 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
E
8 (the number of letters in the month November)
April : 5 letters
May : 3 letters
June : 4 letters
July : 4 letters
Augus... | 25,445 |
<|im_start|>user
The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number E?
Answer Choices: (A) 60 (B) 80 (C) 40 (D) 120 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
(1 + 1/8)x - (1 - 1/4)x = 30
(9/8)x - (3/4)... | 78,111 |
<|im_start|>user
A store has announced a 10% rebate for the entire day. If Amy only has Rs.500 in her pocket and needs Rs.20 to get back home, how many bottles of juice can she buy at the most from the store, with each juice costing Rs.50 before the discount?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<... | 16,278 |
<|im_start|>user
A Man can row upstream at 55kmph and downward stream at 47 kmph. Find Man's rate of the current
Answer Choices: (A) 87km/hr (B) 20km/hr (C) 65km/hr (D) 2.8km/hr (E) 4km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of the current=1/2(55-47)km/hr
=4km/hr
correct option is :E
The answer is E... | 86,547 |
<|im_start|>user
Three numbers are in the ratio 3 : 4 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 42. Find the third number?
Answer Choices: (A) A) 54 (B) B) 75 (C) C) 24 (D) D) 46 (E) E) 63<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x, 4x, 8x.
Lar... | 35,763 |
<|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... | 730 |
<|im_start|>user
What determines your hair color trait?
Answer choice: (A) chromosomes (B) Heredity (C) cells (D) genes<|im_end|>
<|im_start|>assistant
<think>
</think>
There are variations in the traits of a population. For example, there are lots of variations in the color of human hair. Hair can be blonde, brown, ... | 6,837 |
<|im_start|>user
In a game of chess, the moves of whites and blacks alternate with whites having the first move. During a certain chess tournament whites have made 2319 moves altogether while blacks have made 2315 moves. If in any game the side that made the last move did not lose, which of the following can be true ab... | 29,203 |
<|im_start|>user
A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Answer Choices: (A) 13 km/hr (B) 59 km/hr (C) 17 km/hr (D) 18 km/hr (E) 12 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 96,701 |
<|im_start|>user
Eukaryotic cell division involves mitosis and what?
Answer choice: (A) meiosis (B) electrolysis (C) spermatogenesis (D) cytokinesis<|im_end|>
<|im_start|>assistant
<think>
</think>
Eukaryotic cell division involves mitosis and cytokinesis.
The answer is D<|endoftext|> | 3,643 |
<|im_start|>user
The average marks obtained by 120 candidates in a certain examinationis 35.if the average marks of passed candidate is 39 and that of the failed candidates is 15,what is the no. of candidates who passed the examination?
Answer Choices: (A) 880 (B) 100 (C) 110 (D) 109 (E) 107<|im_end|>
<|im_start|>assis... | 30,791 |
<|im_start|>user
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 3 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J... | 26,431 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 337 (B) 278 (C) 287 (D) 270 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the t... | 86,050 |
<|im_start|>user
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Answer Choices: (A) 32 (B) 4/7 (C) 6/15 (D) 1/26 (E) 8/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Here, n(S) = 52.
Let E = event of getting a queen of club or a king of hea... | 14,681 |
<|im_start|>user
A and B write a test A says " i got a third of the ques. wrong" b says " i got 5 wrong" together they got three quarters of the questions correct.how many did A get correct.
Answer Choices: (A) 1/4 (B) 3/4 (C) 5/4 (D) 1/3 (E) 5/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Total 30 questions. A ... | 84,032 |
<|im_start|>user
(69 - 14 x 3 + 2) / [ 9 x 5 - (5)2] = ?
Answer Choices: (A) 1.45 (B) 2.75 (C) 26.5 (D) 265 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Given expression = (69 - 14 x 3 + 2) / [ 9 x 5 - (5)2]
= (69 - 42 + 2) / (45 - 25)
= 29 / 20
= 1.45
Correct Option: A
The answer is A<|endoftext|... | 27,373 |
<|im_start|>user
The elements in group 2 are called what?
Answer choice: (A) halogens (B) alkaline earth metals (C) metal alloys (D) noble gases<|im_end|>
<|im_start|>assistant
<think>
</think>
The elements in Group 2 (beryllium, magnesium, calcium, strontium, barium, and radium) are called the alkaline earth metals ... | 2,502 |
<|im_start|>user
There are three prizes to be distributed among eight students. If no students gets more than one prize, then this can be done in?
Answer Choices: (A) 10 (B) 45 (C) 56 (D) 20 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
3 prize among 8 students can be distributed in... | 56,996 |
<|im_start|>user
What number is obtained by adding the units digits of 734^100 and 347^83?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
The units digit of 734^100 is 6 because 4 raised to the power of an even integer ends in 6.
The units digit of 347^83 is 3 because... | 16,671 |
<|im_start|>user
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=z
III. 2/z T 2/z=1
Answer Choices: (A) a.) I (B) b.) I and II only (C) c) I and III only (D) d) II and III only (E) e) None... | 74,424 |
<|im_start|>user
The motor thus acts as a generator whenever its coil does what?
Answer choice: (A) stops (B) revolves (C) oscillates (D) rotates<|im_end|>
<|im_start|>assistant
<think>
</think>
23.6 Back Emf It has been noted that motors and generators are very similar. Generators convert mechanical energy into elec... | 4,757 |
<|im_start|>user
If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at all the times?
Answer Choices: (A) 1/128 (B) 29/128 (C) 35/128 (D) 1/16 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
In a flip of a coin seven times in a row, heads at all times means,
Hea... | 20,479 |
<|im_start|>user
The average weight of 10 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Answer Choices: (A) 75 Kg (B) 50 Kg (C) 85 Kg (D) 90 Kg (E) 60 KG<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total increase in... | 68,587 |
<|im_start|>user
Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they paint the house in 8 days only. Then, Painter C alone can do this task in
Answer Choices: (A) 90 days (B) 45 days (C) 20 days (D) 50 days (E) 80 days<|im_end|>
<|im_start|>assistant
<... | 86,746 |
<|im_start|>user
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work?
Answer Choices: (A) 5 days (B) 15 days (C) 28 days (D) 6 days (E) 7 days<|im_end|>
<|im_start|>assistant
... | 27,519 |
<|im_start|>user
Two trains of length 100 meters and 200 meters are 140 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 53,781 |
<|im_start|>user
A factory has a fixed cost of $50,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Answer Choices: (A) 9,000 (B) 14,000 (C) 18,000 (D) 20,000 (E) 27,000<|im_e... | 34,948 |
<|im_start|>user
If 1st October is Sunday, then 1st November will be
Answer Choices: (A) sunday (B) monday (C) thursday (D) friday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that 1st October is Sunday
Number of days in October = 31
31 days = 3 odd days
(As we can reduce multiples of 7 from o... | 60,058 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 3,763 |
<|im_start|>user
What would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm?
Answer Choices: (A) 52.5 (B) 60.2 (C) 66.8 (D) 74.25 (E) 80.12<|im_end|>
<|im_start|>assistant
<think>
</think>
Diameter of the circle= perimeter/Ï€ = 52.5x7/22 = 16.70
Perimeter of... | 67,458 |
<|im_start|>user
If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Answer Choices: (A) 78 days. (B) 99 days. (C) 49 days. (D) 48 days. (E) 67 days.<|im_end|>
<|im_start|>assistant
<think>
</think>
B
99 days.
From the above formula i.e (m1*t1/w1) = (m... | 72,047 |
<|im_start|>user
The diagonals of a rhombus are 30 cm and 20 cm. Find its area?
Answer Choices: (A) 176 (B) 190 (C) 150 (D) 278 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 30 * 20
= 300
The answer is E<|endoftext|> | 89,892 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Answer Choices: (A) 356 (B) 200 (C) 127 (D) 279 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m
The answer... | 16,777 |
<|im_start|>user
The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 6 years ago?
Answer Choices: (A) 152460 (B) 214560 (C) 131632 (D) 210000 (E) 200000<|im_end|>
<|im_start|>assistant
<think>
</think>
population 2 years ago = 176400/(1 + 5/100)^6
The answer is C<|e... | 35,855 |
<|im_start|>user
The ratio of flour to water to sugar in a recipe is 11:5:2. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 7.5 cups of water, how much sugar is required?
Answer Choices: (A)... | 80,661 |
<|im_start|>user
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Answer Choices: (A) 2/109 (B) 7/109 (C) 8/223 (D) 14/263 (E) 13/102<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) =(52 x 51)/(2 x 1)= 1326.
Let E = event of getting 1 spade and 1 ... | 68,411 |
<|im_start|>user
Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%?
Answer Choices: (A) 20liters (B) 25liters (C) 30liters (D) 15liters (E) 18liters<|im_end|>
<|im_start|>assistant
<think>
</think>
Quantity of water in 20 liters = 10% of 20 liters = 2 liters
... | 11,492 |
<|im_start|>user
Visible light has what that can be detected by the human eye?
Answer choice: (A) patterns (B) dimensions (C) wavelengths (D) colors<|im_end|>
<|im_start|>assistant
<think>
</think>
Visible light is light that has wavelengths that can be detected by the human eye. The wavelength of visible light deter... | 9,571 |
<|im_start|>user
There are 19 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
Answer Choices: (A) 1710 (B) 1920 (C) 2440 (D) 2860 (E) 3260<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to choose two teams is 19C2 = 19*18... | 42,781 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Select the description that doesn't belong.
Answer Choices: (A) slowly (B) poorly (C) swiftly (D) quickly<|im_end|>
<|im_start|>assistant
<think>
</think>
Poorly doesn't belong.
Swiftly, slowly, and quickly all... | 6,163 |
<|im_start|>user
A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 227 (B) 266 (C) 230 (D) 288 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of t... | 64,942 |
<|im_start|>user
Two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Answer Choices: (A) 28 (B) 266 (C) 990 (D) 20 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Rel... | 6,289 |
<|im_start|>user
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 21 sec (B) 16 sec (C) 71 sec (D) 18 sec (E) 28 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
The answer is B<|endoftext|> | 88,999 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A pure substance is made of only one type of matter.
A mixture is made of two or more types of matter mixed together.
Question:
Select the mixture.
Answer Choices: (A) coins (B) salt<|im_end|>
<|im_start|>assistant
<think>
... | 4,145 |
<|im_start|>user
In how many different ways can the letters of the word 'RUMOUR' be arranged ?
Answer Choices: (A) 90 (B) 270 (C) 350 (D) 790 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'RUMOUR' contains 6 letters, namely 2R, 2U, 1M and 1U.
∴ Required number of ways = 6!/(2!)(2!)(1!)(1!) = 180.
... | 36,823 |
<|im_start|>user
The process in which organ systems work to maintain a stable internal environment is called what?
Answer choice: (A) consciousness (B) thrombosis (C) homeostasis (D) ketosis<|im_end|>
<|im_start|>assistant
<think>
</think>
The process in which organ systems work to maintain a stable internal environm... | 349 |
<|im_start|>user
If Jan 1, 2006 was a Monday, What was the day of the week Jan 1, 2010?
Answer Choices: (A) Friday (B) Thursday (C) Tuesday (D) Saturday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given that Jan 1 2006 was a Monday
Number of odd days in the period 2006-2009
= 3 no... | 82,534 |
<|im_start|>user
Find the odd man out. 30, -5, -45, -90, -145, -195, -255
Answer Choices: (A) -5 (B) -145 (C) -255 (D) -195 (E) -90<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
30
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
-90 - 50 = -140
-140 - 55 = -195
-195 - 60 = -255
Hence, -145 is wrong. -140 s... | 39,753 |
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