text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?
Answer Choices: (A) 338 (B) 277 (C) 463 (D) 456 (E) 271<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 60 * 5/18 = 35 = 583 – 120 = 463
The answer is C<|endoftext|> | 67,246 |
<|im_start|>user
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) 388 (B) 375 (C) 288 (D) 266 (E) 269<|im_end|>
<|im_start|>assistant
<think>
</think>
CP1 = 100 SP1 = 120
CP2 = 80 SP... | 916 |
<|im_start|>user
A Refrigerator is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Answer Choices: (A) 18% (B) 19% (C) 21.2% (D) 21.81% (E) 22.07%<|im_end|>
<|im_start|>assistant
<think... | 67,436 |
<|im_start|>user
If 3<x<6<y<9, then what is the greatest possible positive integer difference of x and y?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
3 < x < 6 < y < 9;
3 < x
y < 9
3 + y < x + 9
y - x < 6.
Positive integer difference is 5 (for example y = 8.5 and x =... | 39,307 |
<|im_start|>user
In a group of 3 boys and 2 girls can be formed out of a total of 4 boys and4 girls?
Answer Choices: (A) 20 (B) 22 (C) 24 (D) 26 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Total number of ways = (select 3 boys from group of 4 boys) * (2 girls from group of 4 girls)
=> (4c3) * (4... | 13,263 |
<|im_start|>user
A car averages 70 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the time for whi... | 44,105 |
<|im_start|>user
8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 13th and the 20th terms?
Answer Choices: (A) 324 (B) 335 (C) 346 (D) 357 (E) 368<|im_end|>
<|im_start|>assistant
<think>
</think>
The first term is 8 = 11 – 3. The second term is 19 = 22 – 3, the third term is 30 = 3 × 11 – 3, the... | 57,673 |
<|im_start|>user
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio L of the amount of time it will take Machines X and Z to... | 21,953 |
<|im_start|>user
What type of winds blow over a limited area?
Answer choice: (A) hurricanes (B) gales (C) trade winds (D) local winds<|im_end|>
<|im_start|>assistant
<think>
</think>
Local winds are winds that blow over a limited area. They are influenced by local geography, such as nearness to an ocean. They include... | 10,762 |
<|im_start|>user
-74x29+265=?
Answer Choices: (A) 2436 (B) -1881 (C) -2801 (D) -2071 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given exp.=-74x(30-1)+265
=-(74x30)+74+265
=-2220+339
=-1881
The answer is B<|endoftext|> | 6,439 |
<|im_start|>user
How many digits are in (8×10^10)(10×10^5)?
Answer Choices: (A) 17 (B) 25 (C) 26 (D) 27 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
The question simplfies to (8×10^10)(10^6)
=> 8*10^16
=> Will contain 16 zeros +1 digit 8
=>17
The answer is A<|endoftext|> | 52,949 |
<|im_start|>user
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Answer Choices: (A) Rs.250 (B) Rs.256 (C) Rs.252 (D) Rs.258 (E) Rs.253<|im_end|>
<|im_start|>assistant
<think>
</think>
CP1 = 100 SP1... | 50,157 |
<|im_start|>user
A salt manufacturing company produced a total of 4000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Answer Choices: (A) 140 ... | 74,680 |
<|im_start|>user
What term describes the splitting of the nucleus of an atom into two smaller nuclei?
Answer choice: (A) nuclean fusion (B) atomic reaction (C) nuclear fission (D) critical fission<|im_end|>
<|im_start|>assistant
<think>
</think>
Nuclear fission is the splitting of the nucleus of an atom into two smal... | 6,215 |
<|im_start|>user
P,Q and R together earn Rs.1890 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
Answer Choices: (A) s.40 (B) s.70 (C) s.90 (D) s.100 (E) s.120<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Amount Earned by P,Q ... | 94,284 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull that acts on an object. Every force has a direction and a magnitude, or strength. If two forces act on an object in opposite directions, the forces are called opposing forces.
When opposing forces... | 4,102 |
<|im_start|>user
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age
Answer Choices: (A) 14 (B) 15 (C) 20 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Present age is 4x and 3x,
=> 4x + 6 = 26 => x = 5
So Deepak age is = 3(5) = 15
T... | 45,220 |
<|im_start|>user
What are the two groups that tripoblastic eucoelomates can be divided into based on early embryonic development differences?
Answer choice: (A) protostomes and deuterostomes (B) protostomes and eurostomes (C) heterodimers and deuterostomes (D) odontoblasts and deuterostomes<|im_end|>
<|im_start|>assist... | 10,591 |
<|im_start|>user
In a lottery, there are 10 prizes and 15 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answer Choices: (A) 1/10 (B) 2/5 (C) 2/7 (D) 5/7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
P(getting a prize) = 10 / (10+15)
‹=› 10 / 25
‹=› 2 / 5.
The a... | 53,795 |
<|im_start|>user
If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit?
Answer Choices: (A) 10% (B) 15% (C) 20% (D) 25% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the cost price of one article.
Let y be the selling price of one article.
6... | 96,126 |
<|im_start|>user
In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
Answer Choices: (A) 200 (B) 210 (C) 90 (D) 250 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
10p2 = 10 X 9 = 90
C)
The answer is C<|endoftext|> | 3,576 |
<|im_start|>user
The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/3 of the diamonds he had then, and 3 more besides. He escaped with 3 diamonds. How many did he... | 14,741 |
<|im_start|>user
47% of the students in a class of 44 students has glasses or contacts. How many students in the class have either glasses or contacts?
Answer Choices: (A) 15 (B) 16 (C) 17 (D) 18 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
a=r⋅b
47%=0.47a
=0.47⋅34
a≈21
Option E is correct.
The answer is E... | 91,569 |
<|im_start|>user
6 boys and 4 girls appeared in a exam. If 4 students are failed how many chances at least one girl is failed?
Answer Choices: (A) 198 (B) 200 (C) 190 (D) 195 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
4 girls and 6 boys. Four students is failed
It is always better to subtract the total ... | 11,130 |
<|im_start|>user
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 kmph and 25 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Answer Choices: (A) 144 (B) 36 (C) 124 (D) 32 (E) 38<|im_en... | 27,417 |
<|im_start|>user
What least value should be replaced by * in 2631*4 so the number become divisible by 3
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 2 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Trick: Number is divisible by 3, if sum of all digits is divisible by 3, so (2+6+3+1+*+4) = 16+* should be... | 14,166 |
<|im_start|>user
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?
Answer Choices: (A) 36 (B) 4 (C) 16 (D) 38 (E) 40<|im_end|>
<|im_start|>a... | 31,233 |
<|im_start|>user
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at ... | 48,670 |
<|im_start|>user
An adventuring party consists of 4 white mages, 6 warriors, and 4 archers. In how many ways can 3 white mages, 2 warriors and 2 archers be selected from the given group?
Answer Choices: (A) 987 ways (B) 446 ways (C) 360 ways (D) 157 ways (E) 134 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
T... | 14,551 |
<|im_start|>user
What is the rate percent when the simple interest on Rs.9100 amount to Rs.455 in 3 Years?
Answer Choices: (A) 3.7% (B) 5.7% (C) 6.7% (D) 8.7% (E) 9.7%<|im_end|>
<|im_start|>assistant
<think>
</think>
455 = (4100*3*R)/100
R = 3.7%
The answer is A<|endoftext|> | 19,478 |
<|im_start|>user
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many T digits does this integer consists of?
Answer Choices: (A) 150 (B) 339 (C) 342 (D) 359 (E) 362<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of single digit integers = 9
Number of 2 digit integ... | 45,354 |
<|im_start|>user
The integers from 1 to 1851 are entered sequentially in 12 columns (numbered 1 to 12); i.e. Row 1 contains the numbers 1 to 12, Row 2 contains the next 12 numbers and so on. If the number 1369 occurs in row p and column q, then the value of p + q is
Answer Choices: (A) 114 (B) 115 (C) 116 (D) 117 (E) 1... | 43,475 |
<|im_start|>user
After 95 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Answer Choices: (A) 7 liters (B) 4 liters (C) 3 liters (D) 5 liters (E) 6 liters<|im_end|>
<|im_start|>assistant
<think>
</think>
95% ----------- 95
5% -------... | 90,203 |
<|im_start|>user
A man takes 3 hours 45 minutes to row a boat 30 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
Answer Choices: (A) 1 km/hr (B) 2 km/hr (C) 3 km/hr (D) 4 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 92,537 |
<|im_start|>user
John found that the average of 15 numbers is 40. If 14 is added to each number then the mean of number is?
Answer Choices: (A) 54 (B) 45 (C) 65 (D) 78 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+x1+...x14)/15 = 40
54
Option A
The answer is A<|endoftext|> | 72,136 |
<|im_start|>user
Can you find the smallest non fractional number such that
If the number gets divided by 6 , we get the remainder of 1;
If the number gets divided by 7, we get the remainder of 2
If the number gets divided by 8 , we get the remainder of 3;
If the number gets divided by 9 , we get the remainder of 4.
Ans... | 9,749 |
<|im_start|>user
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Answer Choices: (A) 4 (B) 9 (C) 12 (D) 21 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
More cogs less revolution,..
s... | 45,199 |
<|im_start|>user
A began business with 12500 and is joined afterwards by B with 37500. When did B join, if the profits at the end of the year are divided equally?
Answer Choices: (A) 8 months (B) 9 months (C) 10 months (D) 7 months (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B join after x ... | 41,451 |
<|im_start|>user
Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked three 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Answer Choices: (A) 280 (B... | 65,437 |
<|im_start|>user
When all the students in a school are made to stand in rows of 50, 25 such rows are formed. If the students are made to stand in rows of 30, how many such rows will be formed ?
Answer Choices: (A) 41 (B) 36 (C) 38 (D) 19 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total numbe... | 46,226 |
<|im_start|>user
A number is missing from the number series below.
Can you find it ?
84, ?, 258, 399 , 584, 819.
Answer Choices: (A) 155 (B) 350 (C) 399 (D) 421 (E) 449<|im_end|>
<|im_start|>assistant
<think>
</think>
A
The missing number is 155.
84 = 4^3 + 3^2 + 4
258 = 6^3 + 6^2 + 6
399 = 7^3 + 7^2 + 7
584 = 8^3 + ... | 17,255 |
<|im_start|>user
If 15% of 30% of 50% of a number is 126, then what is the number?
Answer Choices: (A) 5000 (B) 5600 (C) 5400 (D) 4500 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be a
Given, 15/100 * 30/100 * 50/100 * a = 126
=> 3/20 * 3/10 * 1/2 * a = 126
=> a = 10 * 20 * 10 * 2... | 26,679 |
<|im_start|>user
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net... | 88,398 |
<|im_start|>user
If y = x^2 + cx + d, y is minimum when x is:
Answer Choices: (A) c/d (B) -c/d (C) -c/2 (D) -d/2 (E) d/c<|im_end|>
<|im_start|>assistant
<think>
</think>
We're given the equation Y = X^2 + cX + d.
IF.. we use a simple Classic Quadratic....
c = 2
d = 1
Y = X^2 + 2X + 1
We can then go about finding the ... | 80,735 |
<|im_start|>user
The circulation for magazine M in 1961 was 3 times the average (arithmetic mean) yearly circulation for magazine M for the years 1962-1970. What is the ratio of the circulation in 1961 to the total circulation during 1961-1970 for magazine M ?
Answer Choices: (A) 9/4 (B) 5/4 (C) 7/4 (D) 3/4 (E) 1/4<|im... | 70,246 |
<|im_start|>user
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Answer Choices: (A) 65 (B) 44 (C) 18 (D) 16 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length a... | 60,825 |
<|im_start|>user
Salaries of Ram and Sham are in the ratio of 4 : 5. If the salary of each is increased by Rs. 5000, then the new ratio becomes 50 : 60. What is Sham's present salary?
Answer Choices: (A) Rs. 20,000 (B) Rs. 25,000 (C) Rs. 30,000 (D) Rs. 35,000 (E) Rs. 40,000<|im_end|>
<|im_start|>assistant
<think>
</th... | 67,304 |
<|im_start|>user
Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that... | 92,315 |
<|im_start|>user
In an examination a pupil's average marks were 63 per paper. If he had obtained 22 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end... | 9,121 |
<|im_start|>user
What is an organism that spreads bacteria or other pathogens?
Answer choice: (A) plane (B) vector (C) section (D) arc<|im_end|>
<|im_start|>assistant
<think>
</think>
Some bacteria are spread by vectors. A vector is an organism that spreads bacteria or other pathogens. Most vectors are animals, commo... | 934 |
<|im_start|>user
4 pipes can fill a reservoir in 15, 20, 30 and 60 hrs the first was opened at 6 am and 2nd at 7 am and thirds at 8 am and 4th at 9 am when will the reservoir be full?
Answer Choices: (A) 6 hrs (B) 7 hrs (C) 8 hrs (D) 9 hrs (E) 10 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
let t... | 4,445 |
<|im_start|>user
A man tosses three coins in the air. When they land, he finds that two of the coins have heads up and one has tails up.
What is the probability that when the coins are tossed again, they will land again with two heads up and one tails up.
Please note that the coins are unbiased.
Answer Choices: (A) 50%... | 60,377 |
<|im_start|>user
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 11 salespeople on staff, how many different arrangements of winners are... | 43,072 |
<|im_start|>user
Two students appeared at an examination. One of them secured 9 marks more than the other and his
marks was 56% of the sum of their marks. The marks obtained by them are
Answer Choices: (A) 42,30 (B) 42,31 (C) 42,32 (D) 42,33 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 88,923 |
<|im_start|>user
in how man ways team of four can be formed from four boys and three girls such that atleast one boy and one girl should be there?
Answer Choices: (A) 33 (B) 34 (C) 35 (D) 36 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
One boy and one girl can be selected as (one boy & three girls) or (two... | 94,869 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a platform 100 m long in 20 seconds. Its length is?
Answer Choices: (A) 188 m (B) 876 m (C) 251 m (D) 300 m (E) 145 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y =... | 87,549 |
<|im_start|>user
The ratio of the volumes of two cubes is 729 : 343. What is the ratio of their total surface areas?
Answer Choices: (A) 81 : 49 (B) 81 : 122 (C) 81 : 124 (D) 81 : 126 (E) 81 : 129<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of the sides = 3√729 : 3√343 = 9 : 7
Ratio of surface areas = 9^2 ... | 19,345 |
<|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... | 5,147 |
<|im_start|>user
The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 17 kmph, 18 kmph, 19 kmph, and 20 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Answer Choices: (A) 5:16 (B) 5:17 (C)... | 4,922 |
<|im_start|>user
The average age of a couple was 24 years. After their 1st and 2nd children (twins) were born, the average age of the family became 13.5 years. The average age of the family just after 3rd child was born was 13.2 years. The average age of the family after 4th child was born was 16 years. The current ave... | 38,008 |
<|im_start|>user
A cow and horse are bought for Rs.2,00,000. The cow is sold at a profit of 20% and the horse is sold a t a loss of 10%. The overall gain is Rs.4000, the Cost price of cow?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans: Overall profit = 4000200000×1... | 23,866 |
<|im_start|>user
A cricketer scored 138 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Answer Choices: (A) 46.2% (B) 54.54 % (C) 63% (D) 56.52% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Number of runs ma... | 55,465 |
<|im_start|>user
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Answer Choices: (A) 25 years (B) 20 years (C) 30 years (D) 15 years (E) 10 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option C
... | 13,171 |
<|im_start|>user
A man can row 4 kmph is still water. If the river is running at 2 kmph it takes 90 min to row to a place and back. How far is the place
Answer Choices: (A) 2 km (B) 4 km (C) 5 km (D) 2.25 km (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Speed in still water = 4 kmph... | 15,326 |
<|im_start|>user
An employer has 5 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Answer Choices: (A) a) 1,490 (B) b) 132 (C) c) 60 (D) d) 68 (E) e) 23<|im_e... | 77,837 |
<|im_start|>user
How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits D equal to 28?
Answer Choices: (A) 14 (B) 24 (C) 28 (D) 48 (E) 96<|im_end|>
<|im_start|>assistant
<think>
</think>
First, look for all 4 digits without repeat that add up to 28. To avoid repetition, start... | 39,107 |
<|im_start|>user
Ravi alone can do a work in 25 dyas while Syam alone can do it in 20 days. Ram started the work and joined by Syam after 10 days. How long did the work last?
Answer Choices: (A) 9 2/3 days. (B) 10 2/3 days. (C) 11 2/3 days. (D) 16 2/3 days. (E) 13 2/3 days.<|im_end|>
<|im_start|>assistant
<think>
</th... | 36,623 |
<|im_start|>user
A lady grows Broccoli in her garden that is in the shape of a square. Each Broccoli takes 1 square foot of area in her garden. This year, she has increased her output by 79 Broccoli when compared to last year. The shape of the area used for growing the Broccoli has remained a square in both these years... | 91,403 |
<|im_start|>user
HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
Answer Choices: (A) 36 (B) 66 (C) 132 (D) 264 (E) 364<|im_end|>
<|im_start|>assistant
<think>
</think>
12 * 396 = 36 * x
x = 132
The answer is C<|endoftext|> | 19,231 |
<|im_start|>user
The present ratio of students to teachers at a certain school is 70 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Answer Choices: (A) 2 (B... | 95,111 |
<|im_start|>user
x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). When the equation is divided by (x + 1), it leaves a remainder -12. What are the values of ‘a’ and ‘b’?
Answer Choices: (A) 2,2 (B) 2,6 (C) 2,1 (D) 2,9 (E) 2,7<|im_end|>
<|im_start|>assistant
<think>
</think>
x3−ax2+3x−b=0x3−ax2+3x−b=0 has one fac... | 90,469 |
<|im_start|>user
A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ?
Answer Choices: (A) 50 m (B) 18 m (C) 96 m (D) 23 m (E) 13 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:Clearly, A beats B by 10 sec.
Distance covered by B in 10 sec. = (100... | 7,987 |
<|im_start|>user
What is vital for nervous system functions that include muscle stimulation, memory formation, and learning?
Answer choice: (A) acetylcholine (B) thiamine (C) glutamate (D) glycogen<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 7,966 |
<|im_start|>user
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Answer Choices: (A) 3600 (B) 4000 (C) 4500 (D) 3500 (E) 2500<|im_end|>
<|im_start|>assistant
<think>
</think>... | 80,097 |
<|im_start|>user
A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer Choices: (A) 72 (B) 67 (C) 28 (D) 26 (E) 144<|im_end|>
<|im_start|>assistant
<think>
</think>
Length = Speed * time
Speed = L/T
S = 800/20
S = 40 M/Sec
Speed= 40*18/5 (To convert M/Sec in to Kmph mult... | 64,047 |
<|im_start|>user
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
Answer Choices: (A) Rs. 51.25 (B) Rs. 52 (C) Rs. 54.25 (D) Rs. 60 (E) Rs. 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum = (50 * 10... | 25,444 |
<|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) 11 (B) 30 (C) 88 (D) 66 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
The circumference of the circl... | 83,296 |
<|im_start|>user
If $750 is deposited into a savings account at an annual interest rate of 4% that compounds monthly, what is the value of the investment after 6 years?
Answer Choices: (A) $950.00 (B) $953.03 (C) $973.25 (D) $900.25 (E) $910.00<|im_end|>
<|im_start|>assistant
<think>
</think>
Using CI Formula:
A=P(1+... | 90,348 |
<|im_start|>user
If a and b are different positive integers and a + b = ab(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Answer Choices: (A) I only (B) II only (C) III only (D) I and II (E) I and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Number picking might not be the bes... | 10,061 |
<|im_start|>user
A car traveled 448 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answer Choices: (A) 14 (B) 18 (C) 21 (D) 22 (E) 27<|... | 39,714 |
<|im_start|>user
Pipe A can fill a tank in 9 hours, pipe B in 12 hours, and pipe C in 18 hours. If all the pipes are open, in how many hours will the tank be filled?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
The part filled by A + B + C in 1 hour
= 1/9 + 1/12 + 1/1... | 683 |
<|im_start|>user
All of the stocks on the over-the-counter market are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Answer Choices: (A) 2(26^5) (B) ... | 13,194 |
<|im_start|>user
What is the brightest star in the orion constellation?
Answer choice: (A) rigel (B) natel (C) omicron (D) sol<|im_end|>
<|im_start|>assistant
<think>
</think>
7. You look through a telescope at Rigel. Rigel is the brightest star in the Orion constellation. Rigel is around 800 light years from Earth. ... | 1,591 |
<|im_start|>user
What is the process of small molecules passing through the plasma membrane called?
Answer choice: (A) diffusion (B) permeation (C) absorption (D) convection<|im_end|>
<|im_start|>assistant
<think>
</think>
Small molecules can pass through the plasma membrane through a process called diffusion. Diffus... | 801 |
<|im_start|>user
Average of 11 results is 59. If the average of first five results is 55 and average of last five results is 60 Then find the sixth result?
Answer Choices: (A) 71 (B) 85 (C) 86 (D) 74 (E) 69<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'D'
The answer is D<|endoftext|> | 47,963 |
<|im_start|>user
How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer Choices: (A) 28 sec (B) 23 sec (C) 24 sec (D) 25 sec (E) 26 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 130 + 150 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28... | 93,186 |
<|im_start|>user
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Answer Choices: (A) 27 1/2 kmph (B) 22 1/2 kmph (C) 32 1/2 kmph (D) 22 1/1 kmph (E) 22 5/2 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- ... | 40,813 |
<|im_start|>user
Pat is now 22 years older than Dan. If in 6 years Pat will be twice as old as Dan, how old will Pat be in 15 years?
Answer Choices: (A) 47 (B) 49 (C) 51 (D) 53 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
P=D+22 so D=P-22.
P+6=2(D+6).
P+6=2(P-22+6).
P+6=2P-32.
P=38.
In 15 years, Pat will b... | 4,969 |
<|im_start|>user
What is the HCF of 2/3, 4/9 and 6/5
Answer Choices: (A) 7/45 (B) 2/45 (C) 4/15 (D) 8/45 (E) 9/45<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF of Fractions = HCF of Numerators/LCM of Denominators
= (HCF of 2, 4, 6)/(LCM of 3, 9, 5) = 2/45
The answer is B<|endoftext|> | 41,248 |
<|im_start|>user
A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
A'S sal = 40% of B =40% Of (25% of C) = 40/100(25/100*100) % Of C = 10%
The answer is A<|endoft... | 97,377 |
<|im_start|>user
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40.5 meters. How many times did the ball bounce?
Answer Choices: (A) 3 (B) 6 (C) 7 (D) ... | 22,331 |
<|im_start|>user
In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?
Answer Choices: (A) 24 (B) 48 (C) 96 (D) 64 (E) none<|im_end|>
<|im_start|>assistant
<thi... | 33,515 |
<|im_start|>user
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?
Answer Choices: (A) 120960 (B) 135650 (C) 115850 (D) 142560 (E) 185260<|im_end|>
<|im_start|>assistant
<think>
</think>
In the word 'MATHEMATICS' we treat the two vowels AEAI as ... | 83,810 |
<|im_start|>user
A can run 160 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Answer Choices: (A) 38 metre (B) 28 metre (C) 20 metre (D) 15 metre (E) 28 metre<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed... | 61,289 |
<|im_start|>user
The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Answer Choices: (A) 22 (B) 24 (C) 77 (D) 99 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
side of first square = 40/4 =1... | 12,602 |
<|im_start|>user
What is the term for heat being transferred from molecule to molecule?
Answer choice: (A) convection (B) oxidation (C) conduction (D) decomposition<|im_end|>
<|im_start|>assistant
<think>
</think>
In conduction, heat is transferred from molecule to molecule by contact. Warmer molecules vibrate faster... | 1,942 |
<|im_start|>user
What organism captures light energy and converts it to chemical energy inside its cell?
Answer choice: (A) autotrophs (B) plants (C) phototrophs (D) insects<|im_end|>
<|im_start|>assistant
<think>
</think>
Because glaciers move, they have characteristic features like crevasses and bergshrunds.
The an... | 3,629 |
<|im_start|>user
if A and B run on a circular path in opposite directions of constant speeds with different velocities from P and Q. First time they meet 800 mts away from P and second time they meet 700 mts away from P, what is the lenght of the circular path.
Answer Choices: (A) 2300 Mtrs (B) 2400 Mtrs (C) 2500 Mtrs ... | 47,623 |
<|im_start|>user
What is the process by which plants make their own food?
Answer choice: (A) glycolysis (B) metabolism (C) cellular respiration (D) photosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 5,398 |
<|im_start|>user
A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Answer Choices: (A) 650 (B) 670 (C) 729 (D) 740 (E) 760<|im_end|>
<|im_start|>assistant
<think>
</think>
Choose 5 starters from a team of 12 players. Order is not important.
\i... | 70,387 |
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