text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.50 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Answer Choices: (A) 160 (B) 170 (C) 190 (D) 200 (E) 210<|im_en... | 34,323 |
<|im_start|>user
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Answer Choices: (A) 8 (B) 4 (C) 5 (D) 7 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
7 * 8 : 9 * x = 8:9 => x= 7
The a... | 46,095 |
<|im_start|>user
Tom, working alone, can paint a room in 8 hours. Peter and John, working independently, can paint the same room in 4 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them ... | 4,075 |
<|im_start|>user
Diane find 2 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Answer Choices: (A) 5 (B) 7 and a half (C) 10 (D) 12 and a half (E) 15<|im_end|>
<|im_start|>assistant
<think>
</... | 72,897 |
<|im_start|>user
What needs to happen to temperature to cause pressure to increase dramatically?
Answer choice: (A) boiling point (B) large increase (C) no increase (D) small increase<|im_end|>
<|im_start|>assistant
<think>
</think>
The pressure increases dramatically due to large increase in temperature.
The answer ... | 4,951 |
<|im_start|>user
In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?
Answer Choices: (A) 3387 (B) 1000 (C) 2866 (D) 2787 (E) 1121<|im_end|>
<|im_start|>assistant
<think>
</think>
20 * 10 * 5 = 1000
The answer is B<|endoftext|> | 40,237 |
<|im_start|>user
The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Answer Choices: (A) 329 (B) 288 (C) 150 (D) 238 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * 15 * 20 = 150
The answer is C<|endoftext|> | 62,246 |
<|im_start|>user
What is the term for animals that eat producers to get energy?
Answer choice: (A) carnivores (B) secondary consumers (C) herbivores (D) predators<|im_end|>
<|im_start|>assistant
<think>
</think>
Herbivores are animals that eat producers to get energy. For example, rabbits and deer are herbivores that... | 1,898 |
<|im_start|>user
Given 2x + y + z = 3 and 5x + 3y + z = 9, what is the value of x + y - z?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(1) 5x + 3y + z = 9
If 2x + y + z = 3, then (2) 4x + 2y + 2z = 6
Let's subtract equation (2) for equation (1).
x + y - z = 3
The ans... | 10,303 |
<|im_start|>user
An error 4% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Answer Choices: (A) 4.16 (B) 5.16 (C) 7.16 (D) 8.16 (E) 9.16<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
100 cm is read as 104 cm.
A1 =(100 × 100)cm2 ... | 92,813 |
<|im_start|>user
For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/6 + 6^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. Th... | 22,370 |
<|im_start|>user
The L.C.M. (Lowest (or Least) Common Multiple) of two numbers is 45 times to their H.C.F (Highest Common Factor). If one of the numbers is 125 and sum of L.C.M. and H.C.F. is 1150, the other number is:
Answer Choices: (A) 215 (B) 220 (C) 225 (D) 235 (E) 245<|im_end|>
<|im_start|>assistant
<think>
</th... | 37,607 |
<|im_start|>user
For positive integers n, the integer part of the nth term of sequence B equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, B_1 = 1.2345678…, while B_2 = 2.4681012… The sum of the first seven ... | 19,101 |
<|im_start|>user
Overharvesting is especially challenging for species with what type of habitat?
Answer choice: (A) restricted (B) tundra (C) allowed (D) classified<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 10,241 |
<|im_start|>user
Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 5 breaks of equal length. If the two completed the job together in 2 hours, how many minu... | 35,779 |
<|im_start|>user
31, 29, 24, 22, 17, ?
Answer Choices: (A) 12 (B) 14 (C) 15 (D) 17 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
C
15
This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....
The answer is C<|endoftext|> | 10,757 |
<|im_start|>user
A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
Answer Choices: (A) 19 (B) 15 (C) 16 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do ... | 77,368 |
<|im_start|>user
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors?
Answer Choices: (A) 3/20 (B) 1/3 (C) 5/2 (D) 2/7 (E) 4/5<|im_end|>
<|im_... | 48,257 |
<|im_start|>user
A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
Answer Choices: (A) 22 (B) 120 (C) 388 (D) 377 (E) 272<|im_end... | 47,503 |
<|im_start|>user
There are 6 people at a party sitting at a round table with 6 seats: A, B, C, D, E and F. A CANNOT sit next to either D or F. How many ways can the 6 people be seated?
Answer Choices: (A) 720 (B) 120 (C) 108 (D) 84 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
A,B,C,D,E and F can sit in (6-... | 80,115 |
<|im_start|>user
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Answer Choices: (A) 7500 (B) 7502 (C) 2883 ... | 545 |
<|im_start|>user
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Answer Choices: (A) 14 ways (B) 61 ways (C) 71 ways (D) 31 ways (E) 30 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
The word contains five consonants. Three vowels, three consonants can ... | 34,358 |
<|im_start|>user
The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is
Answer Choices: (A) Rs.4325 (B) Rs.5324 (C) Rs.3425 (D) Rs.5342 (E) Rs.5442<|im_end|>
<|im_start|>assistant
<think>
</think>
p== 4000
r== 10
y== 3
so,, 1st intrest 4000+400==4400
2nd 4400+440== 4840
3rd year ... | 52,157 |
<|im_start|>user
A sealed envelope contains a card with a single digit written on it. Three of the following statements are true and one is false.
I. The digit is 1.
II. The digit is not 2.
III. The digit is not 9.
IV. The digit is 8.
Which one of the following must necessarily be correct?
Answer Choices: (A) III (B) I... | 54,536 |
<|im_start|>user
A radio station has to choose six days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are ad... | 17,923 |
<|im_start|>user
Find large number from given question. The difference of 2 numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1345 (B) 1450 (C) 1440 (D) 1546 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number b... | 51,309 |
<|im_start|>user
The area of a square field is 400 km2. How long will it take for a horse to run around at the speed of 20 km/h ?
Answer Choices: (A) 12 h (B) 10 h (C) 4 h (D) 6 h (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation Area of field = 400 km2. Then, each side of field = √400=20... | 60,727 |
<|im_start|>user
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Answer Choices: (A) 5/21 (B) 5/28 (C) 5/20 (D) 5/22 (E) 5/25<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of ways of (selecting at least two couples amon... | 70,110 |
<|im_start|>user
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Answer Choices: (A) 3 sec (B) 5 sec (C) 6 ½ sec (D) 7 ½ sec (E) 5 ½ sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D
7 ½... | 92,759 |
<|im_start|>user
The average age of a group of 12 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Answer Choices: (A) 22 years (B) 30 years (C) 34 years (D) 32 years (E) None of these<|im_end|>
<|im_start... | 13,379 |
<|im_start|>user
An empty pool being filled with water at a constant rate takes 8hours to fill to 3/7 of its capacity.how much more time will it take to finish filling the pool?
Answer Choices: (A) 5hr 30min (B) 5hr 20min (C) 4hr 48min (D) 3 hr 12min (E) 2hr 40 min<|im_end|>
<|im_start|>assistant
<think>
</think>
As ... | 37,457 |
<|im_start|>user
By using the numbers 1, 3, 4, 6 and 9 only once, how many five digit numbers can be made that are divisible by 8?
Answer Choices: (A) 3 (B) 12 (C) 6 (D) 18 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
A number to be divisible by 8 must end with 08, 16, 24,32 ,40 or 72.
So, there are the fo... | 86,357 |
<|im_start|>user
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is:
Answer Choices: (A) 276 (B) 299 (C) 322 (D) 345 (E) 368<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, the numbers are (23 x 13) and (23 x 16).
Larger number = (23 x 1... | 16,348 |
<|im_start|>user
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer Choices: (A) 2 : 1 (B) 1 : 2 (C) 1 : 1 (D) 4 : 3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
5% of A + 4% of B = (2/3)(... | 66,735 |
<|im_start|>user
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 10 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate... | 80,463 |
<|im_start|>user
In a 1000 m race, A beats B by 250 meters or 25 seconds. Find the speed of B?
Answer Choices: (A) 10 (B) 9 (C) 7 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Since A beats B by 250 m or 25 seconds, i
t implies that B covers 250 m in 25 seconds.
Hence speed of B = 250/25 = 10 m/s.
The ... | 43,981 |
<|im_start|>user
The sum of the 1st and 3rd of 3consecutive odd integers is 131 less than three times the second integer. Find the three integers?
Answer Choices: (A) 121 (B) 133 (C) 145 (D) 150 (E) 165<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x, x + 2 and x + 4 be three integers. The sum of the first x a... | 68,497 |
<|im_start|>user
With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 2 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
Answer Choices: (A) 187 km (B) 480 km (C) 278 km (D) 240 km (E) 671 km<|im_end|>
<|im_start|>assistant
<think>
</t... | 17,881 |
<|im_start|>user
A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds?
Answer Choices:... | 16,322 |
<|im_start|>user
There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 3. If all 27 of the integers were listed, what would their sum be?
Answer Choices: (A) 2,704 (B) 2,990 (C) 5,404 (D) 5,444 (E) 5,994<|im_end|>
<|im_start|>assistant
<think>
</think>
Probably the easiest and ... | 13,810 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.200 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 1000 (B) 1429 (C) 1977 (D) 2778 (E) 2711<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 200
100% ---- ? => Rs.1429
The answer... | 77,063 |
<|im_start|>user
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 O’clock, the true time is –
Answer Choices: (A) 4 p.m. (B) 59 7⁄12 minutes past 3 (C) 58 7⁄11 minutes past 3 (D) 2 3⁄11 minutes past 4 (E) None of these<|im_end|>... | 74,509 |
<|im_start|>user
An error 6% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Answer Choices: (A) 12.36 (B) 8.36 (C) 9.36 (D) 10.36 (E) 11.36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
100 cm is read as 106 cm.
A1 =(100 × 100)c... | 48,143 |
<|im_start|>user
Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 8 members and the design team has 6 members, how manyintegratedteam formations are possible?
Answer Choices: (A) 36 (B) 54 (C) 176 (D) 220 (E) 360<|im_end|>
<|im_start|>... | 47,298 |
<|im_start|>user
At a certain conference, 80% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks ... | 59,304 |
<|im_start|>user
If (n+2)!/n!=156, n=?
Answer Choices: (A) 2/131 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
(n+2)!/n!= 156
Rewrite as:[(n+2)(n+1)(n)(n-1)(n-2)....(3)(2)(1)]/[(n)(n-1)(n-2)....(3)(2)(1)]= 132
Cancel out terms: (n+2)(n+1) = 156
From here, we might just TEST the answer ch... | 18,186 |
<|im_start|>user
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of R is?
Answer Choices: (A) A) Rs.4078 (B) B) Rs.4000 (C) C) Rs.4029 (D) D) Rs.4027 (E) E) Rs.6400<|im_end|>
<|im_start|>assistant
... | 19,640 |
<|im_start|>user
The "factor count" of an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest?
Answer Choices: (A) 60 (B) 61 (... | 82,132 |
<|im_start|>user
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Answer Choices: (A) 32% (B) 42% (C) 52% (D) 62% (E) 72%<|im_end|>
<|im_start|>assistant
<think>
</thin... | 53,303 |
<|im_start|>user
When positive integer p is divided by positive integer x, the remainder is 5 and when positive integer q is divided by positive integer y, the remainder is 8. Which of the following is a possible value for x + y?
I.16
II. 15
III. 14
Answer Choices: (A) I and II only (B) II only (C) III only (D) II and ... | 41,646 |
<|im_start|>user
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, wh... | 6,669 |
<|im_start|>user
Find value of X: (422+404)^2−(4×422×404)=X.
Answer Choices: (A) 234 (B) 267 (C) 324 (D) 356 (E) 577<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Equation is in the form (a+b)2−4ab where a=422 and b=404
Hence answer
=(a+b)2−4ab=(a−b)2=(422−404)2=182=324
C
The answer is C<|endoftext|> | 91,281 |
<|im_start|>user
9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit?
Answer Choices: (A) $314.16 (B) $314.17 (C) $314.18 (D) $314.19 (E) $314.20<|im_end|>
<|im_start|>assistant
<think>
</think>
This is equivalent to finding the fi... | 25,936 |
<|im_start|>user
Each of the following equations has at least one solution EXCEPT D. Is it true?
Answer Choices: (A) 2* -a = (–2) *a (B) (–2) -a = –2-a (C) (–2) a = –2a (D) -2*a = -2-a (E) 2*a = (–2) *-a<|im_end|>
<|im_start|>assistant
<think>
</think>
If we put a = 1 then
A. -2
B. -3
C. -2
E. 2
For D -2 = -3 wrong. ... | 62,417 |
<|im_start|>user
In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both type of lunch. If 96 people were present, how many did not eat either type of lunch ?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
n(A)=(60/100 ∗96)=288/5
n(... | 52,964 |
<|im_start|>user
A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 50 cubic feet, to what fraction of its capacity is the tank filled with water?
Answer Choices: (A) 1/3 (B) 2/3 (C) 3/4 (D) 2/5 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
The volume of water in th... | 14,805 |
<|im_start|>user
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 9180, how much money did he borrow?
Answer Choices: (A) 9000 (B) 80288 (C) 2668... | 57,643 |
<|im_start|>user
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Answer Choices: (A) 35 (B) 88 (C) 25 (D) 99 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose pipe A alone takes x ... | 86,444 |
<|im_start|>user
Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q.
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<t... | 92,230 |
<|im_start|>user
Which of the following is the Highest Common Factor of 27, 81 and 54?
Answer Choices: (A) 8 (B) 9 (C) 6 (D) 14 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
the Highest Common Factor is 9
The answer is B<|endoftext|> | 71,458 |
<|im_start|>user
If x and y are both odd prime numbers and x < y, how many distinct positive integer T factors does 2xy have?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 2xy prime T factors are x^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2... | 70,127 |
<|im_start|>user
If an article is sold at 18% profit instead of 11% profit, then the profit would be $63 more. What is the cost price?
Answer Choices: (A) $600 (B) $900 (C) $1200 (D) $1500 (E) $1800<|im_end|>
<|im_start|>assistant
<think>
</think>
7% * cost price = $63
1% * cost price = $63 / 7 = $9
The cost price is... | 40,685 |
<|im_start|>user
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.
Answer Choices: (A) 1/12 (B) 1/8 (C) 1/6 (D) 1/4 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
X * (120/100)
---------------- = 2/15
Y * (7... | 50,009 |
<|im_start|>user
53, 60, 56, 8, 54, 3, 8
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Answer Choices: (A) 18 (B) 29 (C) 46 (D) 53 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
Yes, it can be solved with observation even without appr... | 72,128 |
<|im_start|>user
Winners will be announced the following day at 12 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
Answer Choices: (A) 13 (B) 21 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The rea... | 30,200 |
<|im_start|>user
Temporal and spatial summation at the axon hillock determines whether a neuron generates what?
Answer choice: (A) hidden potential (B) change potential (C) false potential (D) action potential<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 1,362 |
<|im_start|>user
Twelve pipes of equal capacity can fill a tank in four days. If the tank has to be filled in 3 days, the number of extra pipes needed is:
Answer Choices: (A) 4 (B) 7 (C) 16 (D) 28 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
3 : 4 :: 12 : x
or 3x =4 * 12
or x = 4*12/3 =16
Ext... | 32,994 |
<|im_start|>user
A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres? (revenue per passenger is same)
Answer Choi... | 51,256 |
<|im_start|>user
The 106th term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
Answer Choices: (A) h (B) k (C) l (D) o (E) r<|im_end|>
<|im_start|>assistant
<think>
</think>
a is one time, b,2 times so on...
so 106=n(n+1)/2..
0r n(n+1)= 212 ... now 15*16=240...14*15<212 so n= 15. and 15th alphabe... | 95,106 |
<|im_start|>user
In a 150 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the least number of members who are homeowners?
Answer Choices: (A) 22 (B) 21 (C) 20 (D) 19 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution simple
Out of 150 10%... | 83,774 |
<|im_start|>user
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
Answer Choices: (A) 24,609 (B) 24,607 (C) 24,600 (D) 24,638 (E) 24,602<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the capital be Rs. x. Then,
... | 81,144 |
<|im_start|>user
Six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of the 7th person.
Answer Choices: (A) 69 (B) 70 (C) 71 (D) 72 (E) 73<|im_end|>
<|im_start|>assistant
<thin... | 89,261 |
<|im_start|>user
How many five-digit numbers exist such that the product of their digits is 400?
Answer Choices: (A) 60 (B) 120 (C) 180 (D) 30 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
We're asked to name all of the 5-digit numbers whose product-of-digits is 400. We can use prime-factorization to figure... | 58,013 |
<|im_start|>user
A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Answer Choices: (A) $100000 (B) $200000 (C) $140000 (D) $180000 (E) $250000<|im_end|>
<|im_start|>assistant
<think>
</think>
The expenditure i... | 61,398 |
<|im_start|>user
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 14 defects, for which of theses values does the mean number of defects per car for the first six cars equal the media... | 23,452 |
<|im_start|>user
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
A. 15 kmph B. 10 kmph
Answer Choices: (A) 12.9 kmph (B) 28.8 kmph (C) 28.9 kmph (D) 12.5 kmph (E) 29.9 kmph<|im_end|>
<|im_start|>assistant
<thi... | 41,956 |
<|im_start|>user
How does the sun generate energy?
Answer choice: (A) atomic division (B) matter multiplication (C) nuclear fusion (D) certain fusion<|im_end|>
<|im_start|>assistant
<think>
</think>
Heat from a wood fire can boil a pot of water. If you put an egg in the pot, you can eat a hard boiled egg in 15 minute... | 8,125 |
<|im_start|>user
What is the lowest positive integer that is divisible by each of the integers 1 through 9 inclusive?
Answer Choices: (A) 420 (B) 840 (C) 1260 (D) 2520 (E) 5020<|im_end|>
<|im_start|>assistant
<think>
</think>
We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, and 3^2.
The LCM is 1*2^3*3^2*5*7= ... | 77,538 |
<|im_start|>user
A number 15B is divisible by 6. Which of these will be true about the positive integer B?
Answer Choices: (A) B will be even (B) B will be Odd (C) B will be divisible by 6 (D) Both a & b (E) A, B and C<|im_end|>
<|im_start|>assistant
<think>
</think>
15B is divisible by 6
=> 3*5*B is divisible by 3*2... | 74,434 |
<|im_start|>user
A watch was sold at a loss of 36%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 350 (B) 288 (C) 799 (D) 778 (E) 901<|im_end|>
<|im_start|>assistant
<think>
</think>
64%
104%
--------
40% ---- 140
100% ---- ? => Rs.350
The answer is A<... | 18,173 |
<|im_start|>user
In human beings, when a female becomes pregnant, what is fertilized and then embedded in the uterus?
Answer choice: (A) dna (B) follicle (C) egg (D) sperm<|im_end|>
<|im_start|>assistant
<think>
</think>
If the egg is fertilized, the egg makes its way through the fallopian tube into the uterus, where... | 4,562 |
<|im_start|>user
10 x 1.8 - 2 x 1.5/0.3 = ?
Answer Choices: (A) 30 (B) 20 (C) 15 (D) 44 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Expression
= (18 - 3.0)/0.3
= 15/0.3
= 150/3
= 50
The answer is E<|endoftext|> | 89,931 |
<|im_start|>user
When does diseases like alzheimer's become more common?
Answer choice: (A) old age (B) toddler (C) teenager (D) i-40 age<|im_end|>
<|im_start|>assistant
<think>
</think>
Old age begins in the mid-60s and lasts until the end of life. Most people over 65 have retired from work, freeing up their time fo... | 6,433 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 94 |
<|im_start|>user
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
Answer Choices: (A) 1/5 (B) 5/6 (C) 21/65 (D) 7/3 (E) 2/7<|im_end|>
<|im_start|>assistant
<think>
</think>
If a number is divisible by 4 the last 2 digits of the n... | 9,370 |
<|im_start|>user
Two pipes can fill a tank in 20 minutes and 15 minutes. An outlet pipe can empty the tank in 10 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer Choices: (A) 36 (B) 42 (C) 48 (D) 54 (E) 60<|im_end|>
<|im_start|>assistant
<think>
<... | 8,555 |
<|im_start|>user
The average (arithmetic mean) of 4 positive integers is 30. If the average of 2 of these integers is 15, what is the greatest possible value that one of the other 2 integers can have?
Answer Choices: (A) 55 (B) 89 (C) 100 (D) 109 (E) 115<|im_end|>
<|im_start|>assistant
<think>
</think>
a + b + c + d ... | 21,208 |
<|im_start|>user
If the average of 55, 48, 507, 2, 684 and y is 223, then what is y?
Answer Choices: (A) 701 (B) 120 (C) 42 (D) 868 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
y=42, because:
(55+48+507+2+684+y)/6 = 223
(55+48+507+2+684+y)/6 *6 = 223*6
(55+48+507+2+684+y)-1296= 1338-1296
y=42
So the
The ans... | 76,728 |
<|im_start|>user
An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …, 9 such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion when read upside down — for example, the code 91 may appear as 16. How many codes are there ... | 23,489 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 5,190 |
<|im_start|>user
If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Answer Choices: (A) Sunday (B) Saturday (C) Tuesday (D) Wednesday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
The year 2004 is a leap year. So, it has 2 odd days.
But, Feb 2004 not included because we are c... | 32,779 |
<|im_start|>user
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.625 in all. Find the share of B?
Answer Choices: (A) 130 (B) 120 (C) 218 (D) 140 (E) 145<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 625
A = 3B
3B+B+B-25 = 625
5B = 650
B = 130
The answer i... | 7,819 |
<|im_start|>user
If n is the product of the integers from 1 to 10, inclusive, how many different prime factors greater than 1 does n have?
Answer Choices: (A) Four (B) Five (C) Six (D) Seven (E) Eight<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 1*2*3*4*5*6*7*8*9*10
The prime factors of n are 2, 3, 5, and 7.
... | 10,894 |
<|im_start|>user
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 140 (B) 135 (C) 150 (D) 170 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(54x5/18)m/sec = 15 m/sec.
Length of the train = (Speed x Time).
Length of the train = ... | 46,006 |
<|im_start|>user
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Answer Choices: (A) 1/37 (B) 1/36 (C) 1/31 (D) 1/33 (E) 1/32<|im_end|>
<|im_start|>assistant
<think>
</think>
It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 5... | 42,046 |
<|im_start|>user
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 4 kilometers per hour. It returns by the same route at an average speed of 7 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?
Answer Choices: (A) 5.1 (B) 7.1 (C) 7.2 (D) 7.5... | 21,365 |
<|im_start|>user
Two bullet train s 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Answer Choices: (A) 15.8 sec. (B) 11.52 sec. (C) 11.8 sec. (D) 10.8 sec. (E) 08.8 sec.<|im_end|>
<|im_... | 34,108 |
<|im_start|>user
If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?
Answer Choices: (A) 35 (B) 42 (C) 44 (D) 46 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
17(p+1)=29(q+1) --> (p+1)/(q+1) = 20/17 --> the least positive value of p+1 is 20, ... | 23,333 |
<|im_start|>user
A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share?
Answer Choices: (A) $1000 (B) $2000 (C) $1800 (D) $1500 (E) $1600<|im_end|>
<|im_start|>assistant
<think>
</think>
A's share = 4500*2/15 = $600
B's share = 4500*4/15 = $1200
A+B = $1800
The... | 18,430 |
<|im_start|>user
What forms a barrier between the cytoplasm and the environment outside the cell?
Answer choice: (A) plasma membrane (B) cuticle (C) epidermis (D) cell wall<|im_end|>
<|im_start|>assistant
<think>
</think>
The plasma membrane forms a barrier between the cytoplasm and the environment outside the cell. ... | 3,368 |
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