Split (1)

train · 116k rows

text stringlengths 148 4.25k	__index_level_0__ int64 0 97.5k
<\|im_start\|>user For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 6 of whom are females, by how much does the index for the females exceed the index for the males in ...	34,158
<\|im_start\|>user If the length of the longest chord of a certain circle is 18, what is the radius of that certain circle? Answer Choices: (A) 2.5 (B) 9 (C) 10 (D) 15 (E) 20<\|im_end\|> <\|im_start\|>assistant <think> </think> Longest chord of a circle is the diameter of the circle diameter = 2 * radius If diameter of the...	97,175
<\|im_start\|>user A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:00 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet? Answer Choices: (A) 10.18 p.m (B) 10.29 p.m (C) 10.00 p.m (D) 10.38 p.m (E) 10.32 p.m<\|im_end\|> <\|im_start\|>assistant <think> </think> ...	21,345
<\|im_start\|>user If the time is currently 1:30 pm, what time will it be in exactly 643 hours? Answer Choices: (A) 5:30 am (B) 6:30 am (C) 7:30 am (D) 8:30 am (E) 9:30 am<\|im_end\|> <\|im_start\|>assistant <think> </think> 643 = 26(24) + 19/24 The time will be 19 hours later than 1:30 pm which is 8:30 am. The answer is D...	41,669
<\|im_start\|>user A fundamental particle of matter, protons and neutrons are made of these? Answer choice: (A) quarks (B) particles (C) neutrinos (D) atoms<\|im_end\|> <\|im_start\|>assistant <think> </think> Protons and neutrons are made up of fundamental particles of matter called quarks. Electrons are another type of f...	5,980
<\|im_start\|>user How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 142 m length? Answer Choices: (A) 82.1 sec. (B) 12.6 sec (C) 19.1 sec. (D) 17.1 sec. (E) 42.1 sec.<\|im_end\|> <\|im_start\|>assistant <think> </think> Speed = 72 * 5/18 = 20 m/sec Total distance covered = 110 + 142...	80,378
<\|im_start\|>user Find the greatest number of five digits to which if 7143 is added, the final number becomes exactly divisible by 18, 24, 30, 32 and 36. Answer Choices: (A) 22391 (B) 81111 (C) 27999 (D) 27711 (E) 99417<\|im_end\|> <\|im_start\|>assistant <think> </think> LCM of 18, 24, 30, 32 and 36 is 1440. 99999 + 7143...	6,558
<\|im_start\|>user If a number W between 0 and 1 is selected at random, which of the following will the number most likely be between? Answer Choices: (A) 0 and 3/20 (B) 3/20 and 1/5 (C) 1/5 and 1/4 (D) 1/4 and 3/10 (E) 3/10 and 1/2<\|im_end\|> <\|im_start\|>assistant <think> </think> The number W will most likely be betwe...	41,430
<\|im_start\|>user After working for 8 days, Anil finds that only 1⁄3 of the work has been done. He employs Rakesh who is 60 % efficient as Anil. How many more days will Anil take to complete the job? Answer Choices: (A) 15 days (B) 12 days (C) 10 days (D) 8 days (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> ...	83,221
<\|im_start\|>user What is the place value of 3 in the numeral 3259 Answer Choices: (A) 2500 (B) 3400 (C) 3500 (D) 3000 (E) 4000<\|im_end\|> <\|im_start\|>assistant <think> </think> Option 'D' 3 * 1000 = 3000 The answer is D<\|endoftext\|>	23,962
<\|im_start\|>user Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 7 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf? Answer Choices: (A) 53 (B) 57 (C) 58 (D) 6...	26,218
<\|im_start\|>user 3 men or 9 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work? Answer Choices: (A) 2 days (B) 3 days (C) 4 days (D) 5 days (E) 6 days<\|im_end\|> <\|im_start\|>assistant <think> </think> 3M = 9W ---- 20 days 12M + 8W -----? 36W + 8 W = 44W ---? 9W ---- 20 4...	59,672
<\|im_start\|>user Robert is travelling on his cycle and has calculated to reach the point A at 2 pm .if he travells at 10kmph;he will reach there at 12 noon if he travels at 15 kmph . at what speed he must travel to reach A at 1p.m Answer Choices: (A) 65km (B) 85km (C) 36km (D) 12km (E) 369km<\|im_end\|> <\|im_start\|>assis...	64,372
<\|im_start\|>user What term is used to describe an immunity that occurs after exposure to an antigen either from a pathogen or a vaccination? Answer choice: (A) adaptive immunity (B) variation immunity (C) autoimmunity (D) herd immunity<\|im_end\|> <\|im_start\|>assistant <think> </think> The adaptive, or acquired, immune...	10,968
<\|im_start\|>user Find the unit's digit in 264^102+264^103 Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5<\|im_end\|> <\|im_start\|>assistant <think> </think> Required unit's digit = unit's digit in 4102+4103.4102+4103. Now, 4242 gives unit digit 6. ⇒ 41024102 gives unit digit 6. ⇒ 41034103 gives unit digit of the product ...	84,676
<\|im_start\|>user What is the sum of this series? 1, 3, 5, 7, 9, ...... 35. Answer Choices: (A) 324 (B) 350 (C) 384 (D) 444 (E) 256<\|im_end\|> <\|im_start\|>assistant <think> </think> Number of odd numbers between 1 and 35 is (35+1)/2=18 Therefore Sum of odd numbers 18*18= 324 The answer is A<\|endoftext\|>	27,109
<\|im_start\|>user Abhi roll a dice and he will get money 3 times the outcome. He gives K to shaylendar for every roll. Finally he gets profit of 3 rupees in every roll. what is the value of k? Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<\|im_end\|> <\|im_start\|>assistant <think> </think> as for 1st roll he gets 3 rupee...	8,494
<\|im_start\|>user If x/y = 3/z, then 9z^2 = Answer Choices: (A) y²/ x² (B) x²y² (C) 81y²/ x². (D) 9y/x (E) x²/y²<\|im_end\|> <\|im_start\|>assistant <think> </think> This question is most easily solved by isolating y in the equation and substituting into the expression 9z²: x/y = 3/z x = 3y/z 3y = xz z = 3y/x. If we subst...	74,060
<\|im_start\|>user A bag contains 6 white balls, 7 black balls, and 7 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Answer Choices: (A) 0.25 (B) 0.15 (C) 0.35 (D) 0.45 (E) 0.4<\|im_end\|> <\|im_start\|>assistant <think> </think> Each ball has an eq...	65,539
<\|im_start\|>user A man sells two articles for Rs.3640 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss? Answer Choices: (A) 9%loss (B) 2%loss (C) 6%loss (D) 8%loss (E) 1%loss<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: (25*25)/100 = 6%loss The answer is C<\|en...	27,889
<\|im_start\|>user The price of Maruti car rises by 30 percent while the sales of the car come down by 20%. What is the percentage change in the total revenue? Answer Choices: (A) - 4% (B) - 2% (C) + 4% (D) +2% (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Solution: Let initial price of Maruti Car ...	35,048
<\|im_start\|>user m^n =2401 wat is m/n? Answer Choices: (A) 2.75 (B) 1.75 (C) 3.75 (D) 4.75 (E) 5.75<\|im_end\|> <\|im_start\|>assistant <think> </think> m^n= 2401 7^4= 2401 here m= 7 and n=4 thus m/n= 7/4= 1.75 The answer is B<\|endoftext\|>	88,500
<\|im_start\|>user What do all sound waves begin with? Answer choice: (A) oscillating matter (B) vibrating matter (C) talking matter (D) enclosing matter<\|im_end\|> <\|im_start\|>assistant <think> </think> All sound waves begin with vibrating matter. The vibrations generate longitudinal waves that travel through matter in...	3,863
<\|im_start\|>user A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 4 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY? Answer Choi...	5,384
<\|im_start\|>user The price of 5 kilograms of premium fertilizer is the same as the price of 8 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer? Answer Choices: (A) y/30 (...	96,518
<\|im_start\|>user The mass of the sun is approximately 2 × 10^30 kg and the mass of the moon is approximately 4 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon? Answer Choices: (A) 4.0 × 10^(−18) (B) 2.5 × 10^17 (C) 4.0 × 10^18 (D) 5 × 10^17 (E) 4.0 × 10^42<\|im_end\|> <\|im_start\|>ass...	59,741
<\|im_start\|>user Find smallest prime number is: Answer Choices: (A) 6 (B) 18 (C) 7 (D) 15 (E) 11<\|im_end\|> <\|im_start\|>assistant <think> </think> C 7 The answer is C<\|endoftext\|>	56,395
<\|im_start\|>user 25 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? Answer Choices: (A) 87 (B) 18 (C) 17 (D) 16 (E) 30<\|im_end\|> <\|im_start\|>assistant <think> </think> Binders Books Days 25 1400 21 x 1600 20 x/25 = (1600/1400) * (21/20) => x = 30 The answer is ...	53,257
<\|im_start\|>user What type of vehicles is able to go to the deepest ocean floor? Answer choice: (A) off road vehicles (B) all-terrain vehicles (C) remote-control vehicles (D) autonomous controlled airplanes<\|im_end\|> <\|im_start\|>assistant <think> </think> Today, remote-control vehicles, called remotely operated vehic...	3,431
<\|im_start\|>user An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is: Answer Choices: (A) 3% (B) 5% (C) 8% (D) 12% (E) None<\|im_end\|> <\|im_start\|>assistant <think> </think> Solution: MP = 920. Afte...	38,075
<\|im_start\|>user Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other? Answer Choices: (A) 80/6 sec (B) 80/7 sec (C) 88/7 sec (D) 80/9 sec (E) 82/7 sec<\|im_end\|> <\|im_start\|>assista...	86,125
<\|im_start\|>user If a 10 percent deposit that has been paid toward the purchase of a certain product is $130, how much more remains to be paid? Answer Choices: (A) $880 (B) $990 (C) $1,000 (D) $1,170 (E) $1,210<\|im_end\|> <\|im_start\|>assistant <think> </think> 10/100P = 130 >> p= 130*100/10 = 1300 1300 - 130 = 1170 Th...	7,774
<\|im_start\|>user A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is? Answer Choices: (A) 8867 (B) 299 (C) 279 (D) 600 (E) 2612<\|im_end\|> <\|im_start\|>assistant <th...	90,852
<\|im_start\|>user A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at? Answer Choices: (A) 7.42 am (B) 7.45 am (C) 8.30 am (D) 9.45 am (E) 10.00 ...	44,058
<\|im_start\|>user An article is bought for Rs.765 and sold for Rs.1000, find the gain percent? Answer Choices: (A) 30.6% (B) 30.5% (C) 30.7% (D) 30.8% (E) 30.9%<\|im_end\|> <\|im_start\|>assistant <think> </think> 765 ---- 235 100 ---- ? => 30.7% The answer is C<\|endoftext\|>	33,564
<\|im_start\|>user The average of 65 numbers is 40. If two numbers, 79 and 60 are discarded, then the average of the remaining numbers is nearly Answer Choices: (A) 28.32 (B) 39 (C) 38.78 (D) 39.06 (E) 30<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation : Total sum of 63 numbers = (65*40) - (79 +60) = 2600 ...	97,381
<\|im_start\|>user At what rate percent of simple interest will a sum of money double itself in 12 years? Answer Choices: (A) 8 1/8 (B) 8 1/3 (C) 8 1/0 (D) 8 1/2 (E) 8 1/1<\|im_end\|> <\|im_start\|>assistant <think> </think> Let sum = x. Then, S.I. = x. Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 12) = 25/3 = 8 1/3 % ...	1,601
<\|im_start\|>user Find a sum for first 5 prime no's from number series? Answer Choices: (A) 24 (B) 28 (C) 30 (D) 34 (E) 36<\|im_end\|> <\|im_start\|>assistant <think> </think> Required sum = (2 + 3 + 5 + 7 + 11) = 28 Note: 1 is not a prime number Option B The answer is B<\|endoftext\|>	87,871
<\|im_start\|>user How many positive integers less than 60 have a reminder 01 when divided by 3? Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 20<\|im_end\|> <\|im_start\|>assistant <think> </think> 1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers. The answer is E<\|endoftext\|>	79,472
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: Some animals have a backbone. The backbone is made of many bones in an animal's back. An animal's backbone helps connect the different parts of its body. In the drawings below, each animal's backbone is colored orange. Other...	6,053
<\|im_start\|>user A firm is divided into four departments, each of which contains four people. If a project is to be assigned to a team of three people, none of which can be from the same department,what is the greatest number of distinct teams to which the project could be assigned? Answer Choices: (A) 4^3 (B) 4^4 (C) ...	39,851
<\|im_start\|>user Each term of a certain sequence is 4 less than the previous term. The first term of this sequence is 19. If the sum of the first n terms of the sequence is n, what is the value of positive integer n? Answer Choices: (A) 1 (B) 13 (C) 15 (D) 19 (E) 47<\|im_end\|> <\|im_start\|>assistant <think> </think> We...	4,821
<\|im_start\|>user You collect pens. Suppose you start out with 25. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end? Answer Choices: (A) 39 (B) 40 (C) 41 (D) 75 (E) 43<\|im_end\|> <\|im_start\|>ass...	45,185
<\|im_start\|>user If the average (arithmetic mean) of a and b is 115, and the average of b and c is 160, what is the value of a − c? Answer Choices: (A) −220 (B) −100 (C) −90 (D) 135 (E) It cannot be determined from the information given<\|im_end\|> <\|im_start\|>assistant <think> </think> Question: a - c = ? (a + b)/ 2 =...	70,873
<\|im_start\|>user Of the three numbers, second is twice the first and is also thrice the third.If the average of the three numbers is 44.Find the largest number. Answer Choices: (A) 42 (B) 48 (C) 72 (D) 67 (E) 54<\|im_end\|> <\|im_start\|>assistant <think> </think> Sol: Let the third number be x. Then second number = 3x. ...	52,961
<\|im_start\|>user A man jumps into a river from a overbridge ,at the same time a hat drops in the river which flows with the stream of the water. That man travels 10 minute upstream and returns back where he was asked to catch the hat. He catches hat at a distance of 1000 yard down at a second bridge . Find the speed of...	45,816
<\|im_start\|>user A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: Answer Choices: (A) 120 kmph (B) 150 kmph (C) 50 kmph...	91,977
<\|im_start\|>user The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Answer Choices: (A) 15 kmph (B) 18 kmph (C) 85 kmph (D) 17 kmph (E) 99 kmph<\|im_end\|> <\|im_start\|>assistant <think> </think> 90 * 10/60 =15 kmph The answer is A<\|endoftext\|>	70,282
<\|im_start\|>user There are 35 students in a hostel. If the no. of students increases by 6, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Answer Choices: (A) s. 34.83 (B) s. 39.83 (C) s. 42.83 (D) s. 48.83 (E) s. 54.83<...	48,468
<\|im_start\|>user The length of the rectangular field is double its width. Inside the field there is square shaped pond 6m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field? Answer Choices: (A) 24 (B) 32 (C) 75 (D) 28 (E) 11<\|im_end\|> <\|im_start\|>assistant <think> </think> ...	59,429
<\|im_start\|>user The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choices: (A) 12 (B) 77 (C) 26 (D) 29 (E) 24<\|im_end\|> <\|im_start\|>assistant <think> </think> S = 1 M = x DS = x + 1 US = x - 1 35/(x + ...	83,898
<\|im_start\|>user What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? Answer Choices: (A) 3388 (B) 2177 (C) 2877 (D) 1678 (E) 9680<\|im_end\|> <\|im_start\|>assistant <think> </think> A= P{1 + R/100}n => 8000{1 + 10/100}2 = Rs.9680 The answer is E<\|endof...	73,237
<\|im_start\|>user 14 men can complete a piece of work in 30 days. In how many days can 24 men complete that piece of work? Answer Choices: (A) 17 1/2 days (B) 26 3/4 days (C) 22 1/2 days (D) 29 days (E) 20 days<\|im_end\|> <\|im_start\|>assistant <think> </think> A 17 1/2 days 14 * 30 = 25 * x => x = 17 1/2 days The answe...	92,022
<\|im_start\|>user A retailer sells pashminas at a ten percent discount. If a pashmina cost him $75 and he wants to make a profit of no less than twenty percent on the cost (after the discount), what is the minimum tag price he needs to put on a pashmina? Answer Choices: (A) 90 (B) 100 (C) 120 (D) 140 (E) 150<\|im_end\|> <...	54,887
<\|im_start\|>user Laura has a deck of standard playing cards with 12 of the 72 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart? Answer Choices: (A) 1/4 (B) 1/5 (C) 5/26 (D) 12/42 (E) 1/6<\|im_end\|...	2,716
<\|im_start\|>user An atom is the smallest unit of what that maintains the identity of the latter? Answer choice: (A) mixture (B) element (C) organism (D) cell<\|im_end\|> <\|im_start\|>assistant <think> </think> The smallest piece of an element that maintains the identity of that element is called an atom. Individual atom...	8,876
<\|im_start\|>user Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? Answer Choices: (A) 338 (B) 237 (C) 197 (D) ...	21,151
<\|im_start\|>user A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work? Answer Choices: (A) 10 days (B) 230 days (C) 50 days (D) 40 days (E) 20 days<\|im_end\|> <\|im_start\|>assistant <think> ...	48,492
<\|im_start\|>user The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is: Answer Choices: (A) 5 : 2 (B) 7 : 3 (C) 9 : 2 (D) 13 : 4 (E) 15 : 8<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let the ages...	40,076
<\|im_start\|>user 120kg of an alloy A is mixed with 180 kg of alloy B. If alloy A has lead and tin in the ratio 2:3 and alloy B has tin and copper in the ratio 3:5, then the amount of tin in the new alloy is? Answer Choices: (A) 100.6kg (B) 120.3kg (C) 139.5kg (D) 140.8kg (E) 114.5kg<\|im_end\|> <\|im_start\|>assistant <thi...	79,107
<\|im_start\|>user The average age of A, B and C is 26 years. If the average age of A and C is 29 years, what is the age of B in years ? Answer Choices: (A) 19 (B) 35 (C) 20 (D) 32 (E) 21<\|im_end\|> <\|im_start\|>assistant <think> </think> C 20 Age of B = Age of (A + B + C) – Age of (A + C) = 26 × 3 – 29 × 2 = 78 – 58 = 2...	34,370
<\|im_start\|>user If the height of a cone is increased by 120% then its volume is increased by? Answer Choices: (A) 100 (B) 777 (C) 998 (D) 729 (E) 120<\|im_end\|> <\|im_start\|>assistant <think> </think> 120% The answer is E<\|endoftext\|>	54,371
<\|im_start\|>user What is it called when a human has an extra autosome? Answer choice: (A) monosomy (B) trisomy (C) polysomy (D) mosaicism<\|im_end\|> <\|im_start\|>assistant <think> </think> Trisomy is a state where humans have an extra autosome. That is, they have three of a particular chromosome instead of two. For exa...	2,260
<\|im_start\|>user If Q is an odd number and the median of Q consecutive integers is 150, what is the largest of these integers? Answer Choices: (A) Q/2 + 150 (B) Q/2 + 149 (C) (Q - 1) /2 + 150 (D) (Q + 149) /2 (E) (Q + 150) /2<\|im_end\|> <\|im_start\|>assistant <think> </think> Consider the easiest case, say Q=3, then; S...	24,592
<\|im_start\|>user If x^2−2ax+a^2=0 get value of x/a Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 7<\|im_end\|> <\|im_start\|>assistant <think> </think> a is obviously non-zero. We divide the equation by a^2 we get (x/a-1)^2=0 x/a=1 The answer is A<\|endoftext\|>	25,344
<\|im_start\|>user Where is the fruiting body normally produced in relation to the food source? Answer choice: (A) at the root (B) in the soil (C) underneath the surface (D) at the surface<\|im_end\|> <\|im_start\|>assistant <think> </think> The fruiting bodies are usually produced at the surface of the food source, rather...	7,799
<\|im_start\|>user Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is Answer Choices: (A) 11 (B) 13 (C) 15 (D) 17 (E) 19<\|im_end\|> <\|im_start\|>assistant <think> </think> 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)] 3/11 × [4/3 + 5/4 × ........ 121/120] 3/11 × 4/3 × 5/4 × .... 121/120 121/11 = 11. A...	27,637
<\|im_start\|>user The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 684. What is the banker's discount? Answer Choices: (A) 1240 (B) 1120 (C) 1190 (D) 1634 (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation : TD = (BG ×100)/TR = (684×100)/(6×12) = Rs. 950 BG = BD – TD => ...	47,684
<\|im_start\|>user The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 78 kmph, find the speed of the stream? Answer Choices: (A) 15 (B) 19 (C) 14 (D) 18 (E) 26<\|im_end\|> <\|im_start\|>assistant <think> </think> Th...	45,618
<\|im_start\|>user The number 110 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answer Choices: (A) 18 (B) 16 (C) 15 (D) 14 (E) 13<\|im_end\|> <\|im_start\|>assistant <think> </think> 7^2+5^2+6^2=49+25+36 = 110 7+5+6 =18 Hence The answer is A<\|endoftext\|>	2,411
<\|im_start\|>user In how many ways can two members be selected from a group of ten members? Answer Choices: (A) 10C2 (B) 10C8 (C) 10C4 (D) 10C3 (E) 10C1<\|im_end\|> <\|im_start\|>assistant <think> </think> two members can be selected from ten members in 10C6 = 10C2 ways. The answer is A<\|endoftext\|>	86,104
<\|im_start\|>user What is the measure of the amount of space occupied by an object? Answer choice: (A) volume (B) mass (C) liquid (D) growth<\|im_end\|> <\|im_start\|>assistant <think> </think> Volume Volume is the measure of the amount of space occupied by an object. The standard SI unit of volume is defined by the base ...	5,654
<\|im_start\|>user Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is Answer Choices: (A) 2:5 (B) 3:5 (C) 4:5 (D) 6:5 (E) 7:5<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let the third number be x. First Number (120/100)x = 6x/5 Second Number (150/100)x...	65,061
<\|im_start\|>user What is the lowest level of organization that can perform all activities required for life? Answer choice: (A) organs (B) the cell (C) nucleii (D) tissues<\|im_end\|> <\|im_start\|>assistant <think> </think> The answer is B<\|endoftext\|>	1,679
<\|im_start\|>user The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares? Answer Choices: (A) 1,010 (B) 1,164 (C) 1,240 (D) 1,316 (E) 2,470<\|im_end\|> <\|im_start\|>assistant...	10,090
<\|im_start\|>user A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working alone, the outlet pipe can empty out the tank in 10 hours. If it is desired that the tank should be filled, from empty, exactly 8 hours after the inlet pipe is turned on at 9:30am, t...	93,393
<\|im_start\|>user A student missed 6% of the questions on a test. If the student missed 12 questions, how many questions were on the test? Answer Choices: (A) 100 (B) 150 (C) 200 (D) 250 (E) 300<\|im_end\|> <\|im_start\|>assistant <think> </think> 12 is 6% of the total answers on the test. If the total number of answers o...	51,727
<\|im_start\|>user The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $744, what is the length of the plot in meters? Answer Choices: (A) 11 (B) 13 (C) 15 (D) 17 (E) 19<\|im_end\|> <\|im_start\|>assistant <think> </think> perimeter = 2L + 2W = 2L + 2(L-...	86,530
<\|im_start\|>user Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? Answer Choices: (A) 4 (B) 10 (C) 15 (D) 16 (E) 17<\|im_end\|> <\|im_start\|>assistant <think> </think> L.C.M of 2,4,6,8,10,12 is 120. i.e after each...	39,006
<\|im_start\|>user A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Answer Choices: (A) 27778 (B) 12800 (C) 27888 (D) 29778 (E) 17781<\|im_end\|> <\|im_start\|>assistant <think> </th...	30,036
<\|im_start\|>user A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum? Answer Choices: (A) 7000 (B) 7029 (C) 7290 (D) 7010 (E) 7102<\|im_end\|> <\|im_start\|>assistant <think> </thi...	11,767
<\|im_start\|>user How many 3-digit even numbers are possible such that if one of the digits is 4, the next/succeeding digit to it should be 7? Answer Choices: (A) 305 (B) 5 (C) 365 (D) 405 (E) 495<\|im_end\|> <\|im_start\|>assistant <think> </think> 470, 472, 474, 476, and 478, so total 5. Hence Option B. The answer is B<...	45,440
<\|im_start\|>user In a certain neighborhood , 60 percent of the student are going to school (A) , and the rest are going to school (B) . A new school (C) is opened , If 30 percent of student of school (A) and 40 percent of student of school (B) are expected to go to the new school (C) , what percent of student are expec...	21,374
<\|im_start\|>user A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 40% more recliners. What is the percentage increase of the gross? Answer Choices: (A) 10% (B) 15% (C) 11.2% (D) 7% (E) 13%<\|im_end\|> <\|im_start\|>assistant <think> </think> S...	34,925
<\|im_start\|>user The release of calcium ions initiates what? Answer choice: (A) exhalation (B) cramps (C) muscle contractions (D) spasms<\|im_end\|> <\|im_start\|>assistant <think> </think> The release of calcium ions initiates muscle contractions. Watch this video (http://openstaxcollege. org/l/calciumrole) to learn mor...	11,396
<\|im_start\|>user Indu gave Bindu Rs.5000 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choices: (A) 8 (B) 2 (C) 9 (D) 5 (E) 1<\|im_end\|> <\|im_start\|>assistant <think> </think> 5000 = D(100/4)2 D = 8 ...	90,934
<\|im_start\|>user Find the average of the first 20 natural numbers? Answer Choices: (A) 10.9 (B) 10.8 (C) 10.2 (D) 10.5 (E) 10.4<\|im_end\|> <\|im_start\|>assistant <think> </think> Average of the first 'n' natural numbers = (n + 1)/2 We get (20 + 1)/2 = 10.5 The answer is D<\|endoftext\|>	61,159
<\|im_start\|>user The positive integers p and q leave remainders of 2 and 3, respectively, when divided by 6. p > q. What is the remainder when p – q is divided by 6? Answer Choices: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1<\|im_end\|> <\|im_start\|>assistant <think> </think> Let's test out some values of p and q that satisfy the gi...	6,153
<\|im_start\|>user The mass of 1 cubic meter of a substance is 500 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) Answer Choices: (A) 0.8 (B) 1.25 (C) 2.0 (D) 2.5 (...	73,267
<\|im_start\|>user A certain junior class has 1000 students and a certain senior class has 900 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibl...	24,953
<\|im_start\|>user An advertising agency finds that, of its 210 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three? Answer Choices: (A) 56 (B) 70 (C) 90 (D) 110 (E) 120<\|im_end\|> <\|im_...	71,917
<\|im_start\|>user 20 marbles were pulled out of a bag of only white marbles, painted black, and then put back in. Then, another 20 marbles were pulled out, of which 1 was black, afterwhich they were all returned to the bag. If the percentage of black marbles pulled out the second time represents their percentage in the ...	93,411
<\|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. A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic....	4,295
<\|im_start\|>user When scientists work in natural settings rather than a lab, it is called what? Answer choice: (A) outside work (B) extracurricular activity (C) exploratory (D) fieldwork<\|im_end\|> <\|im_start\|>assistant <think> </think> Some life scientists mainly do lab research. Other life scientists, like the botan...	5,994
<\|im_start\|>user There are 5 different letters and 5 letter boxes of same size shape and colors. How many method are possible to post the letters? Answer Choices: (A) 50 (B) 51 (C) 52 (D) 53 (E) 54<\|im_end\|> <\|im_start\|>assistant <think> </think> 50000 ->1 41000 ->5 31100 ->10 32000 ->10 21110 ->10 22100 ->15 11111 -...	70,038
<\|im_start\|>user A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son? Answer Choices: (A) 28.9 (B) 28.0 (C) 28.4 (D) 28.8 (E) 28.1<\|im_end\|> <\|im_start\|>assistant <think> </think> Present age of the son be P, he wa...	63,960
<\|im_start\|>user A car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Answer Choices: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24<\|im_end\|> <\|im_start\|>assistant <...	52,540
<\|im_start\|>user Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 5. The numbers are Answer Choices: (A) 12, 24, 30 (B) 12, 24, 38 (C) 12, 24, 362 (D) 5, 10, 15 (E) 12, 24, 321<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= ...	7,309
<\|im_start\|>user Two trains of length 100 m and 200 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) 18 sec (B) 15 sec (C) 21 sec (D) 20 sec (E) 19 sec<\|im_end\|> <\|im_start\|>assistant <thi...	75,085
<\|im_start\|>user A discount of 20 percent on an order of goods followed by a discount of 40 percent amounts to Answer Choices: (A) the same as one 45 percent discount (B) the same as one 40 percent discount (C) the same as one 36 percent discount (D) the same as one 52 percent discount (E) the same as one 25 percent di...	92,374

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