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<|im_start|>user Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand? Answer Choices: (A) 22 (B) 16 (C) 27 (D) 187 (E) 11<|im_end|> <|im_start|>assistant <think> </think> Let the present ages ...
41,119
<|im_start|>user Norovirus causes the inflammation of the stomach and what else? Answer choice: (A) muscles (B) liver (C) lungs (D) intestines<|im_end|> <|im_start|>assistant <think> </think> Common foodborne viruses include norovirus and hepatitis A virus. Norovirus, which causes inflammation of the stomach and inte...
4,758
<|im_start|>user A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed Y of the train. Answer Choices: (A...
54,973
<|im_start|>user If x,p,q, and r are positive integers and (p)Ɨ(q)Ɨ(r)=x^2, which of the following could be the values of p,q, and r? Answer Choices: (A) 3, 16, 25 (B) 9, 25, 24 (C) 2,16, 32 (D) 2, 9, 16 (E) 8, 16, 36<|im_end|> <|im_start|>assistant <think> </think> This is one of those questions where using the give...
2,028
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Vertebrates and invertebrates are both groups of animals. A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra...
2,446
<|im_start|>user The price of a book is increased from $300 to $450. What is the % of increase in its price? Answer Choices: (A) 10% (B) 20% (C) 40% (D) 50% (E) 60%<|im_end|> <|im_start|>assistant <think> </think> Explanation: Change in the price = Rs 450 Ć¢ā‚¬ā€œ Rs 300 = Rs 150 Percentage of increase = Change in the pri...
7,586
<|im_start|>user Working alone, pump A can empty a pool in 4 hours. Working alone, pump B can empty the same pool in 6 hours. Working together, how many minutes will it take pump A and pump B to empty the pool? Answer Choices: (A) 132 (B) 138 (C) 144 (D) 150 (E) 156<|im_end|> <|im_start|>assistant <think> </think> Pu...
23,142
<|im_start|>user Mudit's age 48 years hence will be thrice his age four years ago. Find Mudit's present age? Answer Choices: (A) 12 (B) 19 (C) 27 (D) 18 (E) 30<|im_end|> <|im_start|>assistant <think> </think> Explanation: Let Mudit's present age be 'm' years. m + 48 = 3(m - 4) => 2m = 60 => m = 30 years. The answer i...
39,170
<|im_start|>user The simple interest on a sum of money will be Rs.800 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Answer Choices: (A) 2261 (B) 1600 (C) 1200 (D) 2699 (E) 2771<|im_end|> <|im_start|>assistant <think> </think> P --- 10 ---- 800 ...
39,248
<|im_start|>user Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 40% savings. Assuming that they operate independently, what is the net saving achieved? Answer Choices: (A) 56% (B) 64% (C) 62.2% (D) 68% (E) 74.8%<|im_end|> <|im_start|>assista...
46,596
<|im_start|>user In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? Answer Choices: (A) 227 (B) 1668 (C) 5400 (D) 1688 (E) 1671<|im_end|> <|im_start|>assistant <think> </thin...
14,664
<|im_start|>user Something supplied by nature that helps support life, including ecosystems as well as minerals and fossil fuels, is called a what? Answer choice: (A) artificial resource (B) natural resource (C) fluid resource (D) visible resource<|im_end|> <|im_start|>assistant <think> </think> A natural resource is...
6,735
<|im_start|>user A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit? Answer Choices: (A) 37 (B) 299 (C) 72 (D) .32 (E) 01<|im_end|> <|im_start|>assistant <think> </think> Explanation: Let cost price of lemons be x. Selling price of lemon...
56,752
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order. To put words in alphabetical order, put...
4,095
<|im_start|>user Compounds that form from two or more nonmetallic elements are called what? Answer choice: (A) ionic bonds (B) valent bonds (C) covalent bonds (D) hydrogen bonds<|im_end|> <|im_start|>assistant <think> </think> Compounds that form from two or more nonmetallic elements, such as carbon and hydrogen, are...
4,943
<|im_start|>user Find the average of the first 9 natural numbers? Answer Choices: (A) 8 (B) 5 (C) 10 (D) 11 (E) 12<|im_end|> <|im_start|>assistant <think> </think> Average of the first 'n' natural numbers = (n + 1)/2 We get (9 + 1)/2 = 5 The answer is B<|endoftext|>
73,776
<|im_start|>user A milk man makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase? Answer Choices: (A) 30 (B) 40⁄3 (C) 22 (D) 10 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Let profit per litre = 20 So, C.P. /litre = 100 S.P. / l...
76,650
<|im_start|>user Two representatives must be selected from each of two groups of students. One group consists of two men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ? Answer Choices: (A) 1/6 (B) 1/4 (C) 5/9 (D) 1/3 (E) 1/2<|im_end...
88,733
<|im_start|>user If Reneesh earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased? Answer Choices: (A) 1/4 (B) 1/5 (C) 7/100 (D) 3/25 (E) 1/20<|im_end|> <|im_start|>assistant <think> </think> Perhaps it is also easy to just translate the % into fractions: 6%: 6/100 = 3/5...
49,712
<|im_start|>user What organelle plays a key role in removing waste from plant and animal cells? Answer choice: (A) Mitochondrion. (B) Nucleus. (C) Lysosome. (D) Chloroplast.<|im_end|> <|im_start|>assistant <think> </think> Lysosomes contain enzymes that break down waste and determine which molecules to reuse or expel...
171
<|im_start|>user The product of x and y is a constant. If the value of x is increased by 60%, by what percentage must the value of y be decreased? Answer Choices: (A) 30% (B) 32% (C) 35% (D) 37.5% (E) 40%<|im_end|> <|im_start|>assistant <think> </think> x*y = constt. Let x = y = 100 in beginning i.e. x*y = 100*100 = ...
27,077
<|im_start|>user A woman has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Answer Choices: (A) 80 (B) 90 (C) 100 (D) 110 (E) None<|im_end|> <|im_start|>assistant <think> </think> ...
23,433
<|im_start|>user In a simultaneous throw of pair of dice .find the probability of getting the total more than 7 Answer Choices: (A) 4/5 (B) 5/12 (C) 7/9 (D) 12/7 (E) 4/3<|im_end|> <|im_start|>assistant <think> </think> Here n(S)=(6*6)=36 let E=event of getting a total more than 7 ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6)...
60,608
<|im_start|>user Walking with 4/5 of my usual speed, I arrive at the bus stop 7 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? Answer Choices: (A) 12 (B) 16 (C) 20 (D) 24 (E) 28<|im_end|> <|im_start|>assistant <think> </think> Let t = usual time = distance / usual ...
32,423
<|im_start|>user One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday ...
70,017
<|im_start|>user If the sum of a number and its square is 210, what is the number? Answer Choices: (A) 14 (B) 26 (C) 28 (D) 91 (E) none of these<|im_end|> <|im_start|>assistant <think> </think> Let the number be x. Then, x + x2 = 210 (x + 15)(x - 14) = 0 x = 14 The answer is A<|endoftext|>
36,769
<|im_start|>user A 4-letter code word consists of letters L, M, AND N. If the code includes all the three letters, how many such codes are possible? Answer Choices: (A) 72 (B) 36 (C) 24 (D) 44 (E) 22<|im_end|> <|im_start|>assistant <think> </think> Note that the correct answer to this question is 36, not 72. L-LMN ca...
63,861
<|im_start|>user If the ratio of ages of Mohan and Rakesh 4:3 and sum of their ages is 28 years then ratio of their ages after 4 years will be Answer Choices: (A) 5:4 (B) 3:4 (C) 6:5 (D) 7:4 (E) 7:5<|im_end|> <|im_start|>assistant <think> </think> let monhan age is 4x and rakesh age is 3x. accn to d ques 4x+3x=7x 7x=...
32,941
<|im_start|>user When female mammalian embryos consist of just a few thousand cells, one x chromosome in each cell inactivates by condensing into a structure called what? Answer choice: (A) barr body (B) lewy's body (C) morton body (D) baker body<|im_end|> <|im_start|>assistant <think> </think> Humans display dramati...
4,082
<|im_start|>user The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choices: (A) 266 (B) 288 (C) 245 (D) 215 (E) 232<|im_end|> <|im_start|>assistant <think> </think> Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be...
41,576
<|im_start|>user A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is? Answer Choices: (A) 100 (B) 220 (C) 120 (D) 130 (E) 240<|im_end|> <|im_start|>assistant <think> </think> Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec. Length of the...
43,721
<|im_start|>user Jane started baby-sitting when she was 20 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat? Answer...
78,221
<|im_start|>user What is often a result of untreated atherosclerosis? Answer choice: (A) cancer (B) heart disease (C) a heart attack or stroke (D) seizures<|im_end|> <|im_start|>assistant <think> </think> The answer is C<|endoftext|>
11,408
<|im_start|>user A man walked a certain distance south and then the same distance plus 7km due west.He is now 13km from his starting point.What are the distances south and west that he walked? Answer Choices: (A) 5,12 (B) 6,12 (C) 7,12 (D) 5,13 (E) 6,13<|im_end|> <|im_start|>assistant <think> </think> If a man walked...
31,361
<|im_start|>user 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days? Answer Choices: (A) 12 (B) 10 (C) 8 (D) 5 (E) 6<|im_end|> <|im_start|>assistant <think> </think> 9M + 12B ----- 12 days 12M + 12B ------- 10 days 10M + 10B -------?...
55,892
<|im_start|>user The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length of this rectangle. Answer Choices: (A) L = 60 (B) L = 20 (C) L = 40 (D) L = 30 (E) L =50<|im_end|> <|im_start|>assistant <think> </think> L * W = 300 : area , L is the length and W is t...
5,768
<|im_start|>user A reduction of 10% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Answer Choices: (A) s.42 (B) s.46 (C) s.40 (D) s.41 (E) s.16<|im_end|> <|im_start|>assistant <think> </think> 800*(10/100) = 80 ---- 5 ? ---- 1 => Rs.16 The answer is E<|endof...
82,136
<|im_start|>user What do we call the force of attraction or repulsion between electrically charged particles? Answer choice: (A) electromagnetic force (B) chemical force (C) mechanical force (D) gravitational pull<|im_end|> <|im_start|>assistant <think> </think> Electromagnetic force is a force of attraction or repul...
8,862
<|im_start|>user There are 3 numbers x,y,z.the mean is m.median is 5.m is 10 more than the smallest number and 15 less than the biggest number.what is x+y+z? Answer Choices: (A) 20 (B) 30 (C) 35 (D) 40 (E) 45<|im_end|> <|im_start|>assistant <think> </think> m=x+y+z/3 x+y+z=3m median is middle number let y=5 let x is ...
22,141
<|im_start|>user A special municipal payroll tax charges not tax on a payroll less than $250,000 and only 0.1% on a company’s payroll above $250,000. If Belfried Industries paid $200 in this special municipal payroll tax, then they must have had a payroll of Answer Choices: (A) $450,000 (B) $202,000 (C) $220,000 (D) $4...
69,002
<|im_start|>user A box contains twelve bulbs out of which seven are defective. If seven bulbs are chosen at random, find the probability that all the four bulbs are defective? Answer Choices: (A) 1/127 (B) 1/792 (C) 1/789 (D) 1/689 (E) 1/126<|im_end|> <|im_start|>assistant <think> </think> Out of twelve, five are goo...
91,592
<|im_start|>user Two trains are moving in opposite directions with speed of 110 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds Answer Choices: (A) 26 (B) 48 (C) 47 (D) 36 (E) 25<|im_end|> <|im_start|>assistant <think> </think> ...
11,582
<|im_start|>user In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr? Answer Choices: (A) 2.5 sec (B) 2.7 sec (C) 3.5 sec (D) 2.9 sec (E) 9.5 sec<|im_end|> <|im_start|>assistant <think> </think> Speed = 144 * 5/18 = 40 m/sec Time taken = 100/40 = 2.5 sec. The answer is A<|endoftext|...
27,854
<|im_start|>user What number should replace the question mark? 2, 16, 4, 14, 6, 12, ---? Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|> <|im_start|>assistant <think> </think> Answer: A 2, 16, 4, 14, 6, 12, 8? There are two alternate sequences: +2 and -2. The answer is A<|endoftext|>
56,285
<|im_start|>user A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green? Answer Choices: (A) 23/35 (B) 23/356 (C) 23/36 (D) 23/32 (E) 23/31<|im_end|> <|im_start|>assistant <think> </think> Given that there are ...
24,493
<|im_start|>user If the productivity of a brigade grows by 5% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? Answer Choices: (A) 0.21 (B) 0.82 (C) 1.155 (D) 1.21 (E) 1.44<|i...
60,030
<|im_start|>user The ratio of two quantities is 5 to 6. If each of the quantities is increased by 2, what is the ratio of these two new quantities? Answer Choices: (A) It cannot be determined from the information given. (B) 5/14 (C) 6/15 (D) 7/16 (E) 8/17<|im_end|> <|im_start|>assistant <think> </think> let the actua...
7,960
<|im_start|>user The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife? Answer Choices: (A) 6:9 (B) 6:5 (C) 6:8 (D) 6:2 (E) 6:1<|im_end|> <|im_start|>assistant <think> <...
19,769
<|im_start|>user What is the multicellular diploid stage called? Answer choice: (A) blastocyte (B) sporangium (C) lymphocyte (D) sporophyte<|im_end|> <|im_start|>assistant <think> </think> The answer is D<|endoftext|>
4,760
<|im_start|>user A fruit vendor purchased 20 dozens of apples at $15 per dozen. But one-fourth of the apples were rotten and had to be thrown away. He sold two-third of the remaining apples at a$22.50 per dozen. At what price per dozen should he sell the remaining apples to make neither a profit nor a loss? Answer Choi...
41,838
<|im_start|>user Sulfur can combine with oxygen to produce what? Answer choice: (A) sulfur trioxide (B) sulfur bioxide (C) sulfur dioxide (D) sulfur oxide<|im_end|> <|im_start|>assistant <think> </think> When nonmetals react with one another, the product is a molecular compound. Often, the nonmetal reactants can comb...
6,199
<|im_start|>user A number when divided by a divisor leaves a remainder of 21. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? Answer Choices: (A) 12 (B) 13 (C) 34 (D) 37 (E) 59<|im_end|> <|im_start|>assistant <think> </think> Let the number is N, t...
41,529
<|im_start|>user Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tan...
15,412
<|im_start|>user A and B can do a piece of work in 6 days, B and C in 8 days, C and A in 12 days. How long will C take to do it? Answer Choices: (A) 48 days (B) 55 days (C) 24 days (D) 33 days (E) 40 days<|im_end|> <|im_start|>assistant <think> </think> 2c = 1/8 + 1/12 – 1/6= 1/24 c = 1/48 => 48 days The answer is A<...
5,594
<|im_start|>user Find the slope of the line perpendicular to the line y = (1/2)x - 7 Answer Choices: (A) 1 (B) 2 (C) -2 (D) 4 (E) 5<|im_end|> <|im_start|>assistant <think> </think> Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 2. If m is the slo...
73,026
<|im_start|>user How many days are there in x weeks x days Answer Choices: (A) 14x (B) 8x (C) 7x2 (D) 7 (E) 8<|im_end|> <|im_start|>assistant <think> </think> Explanation : x weeks x days = (7 Ɨ x) + x = 7x + x = 8x days . The answer is B<|endoftext|>
69,196
<|im_start|>user How many such letter-pairs are there in the word BONAFIDE having same number of letters left between them as they have in the series? Answer Choices: (A) 2 (B) 3 (C) 4 (D) 1 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> BF,NO,AD,AE,DF,DE 6 POSSIBILITES ARE THERE so none of these ...
14,455
<|im_start|>user What hits the eardrum and causes it to vibrate? Answer choice: (A) cilia (B) sound waves (C) decibels (D) microwaves<|im_end|> <|im_start|>assistant <think> </think> The eardrum is like the head of a drum. It is a thin membrane stretched tight across the end of the ear canal. The eardrum vibrates whe...
4,050
<|im_start|>user Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water? Answer Choices: (A) 2 : 3 (B) 3 : 2 (C) 1 : 3 (D) 2 : 1 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> ? Required ratio =...
31,755
<|im_start|>user On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*...
12,117
<|im_start|>user The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 8 months, find for how much time did Q invest the money? Answer Choices: (A) 11 (B) 10 (C) 18 (D) 16 (E) 12<|im_end|> <|im_start|>assistant <think> </think> 7*5: 8*x = 7:10 x = ...
69,903
<|im_start|>user Six children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children? Answer Choices: (A) 600 (B) 720 (C) 1440 (D) 4320 (E) 4800<|im_end|...
44,800
<|im_start|>user The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 30,000 is made? Answer Choices: (A) 328897 (B) 120000 (C) 877888 (D) 277768 (E) 126000<|im_end|> <|im_start|>assistant <think> </think> ...
71,994
<|im_start|>user Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choices: (A) A) Rs.180 (B) B) Rs.200 (C) C) Rs.250 (D) D) Rs.280 (E) E) Rs.300<|im_end|> <|im_start|>assistant <think> </think> Let the amou...
20,224
<|im_start|>user What is the spreading of white light into its full spectrum of wavelengths called? Answer choice: (A) condensation (B) saturation (C) radiate (D) dispersion<|im_end|> <|im_start|>assistant <think> </think> 25.5 Dispersion: The Rainbow and Prisms • The spreading of white light into its full spectrum o...
10,238
<|im_start|>user A cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface? Answer Choices: (A) 40 (B) 48 (C) 54 (D) 62 (E) 76<|im_end|> <|im_start|>assistant <think> </think> Area of the wet surface = [2(lb + bh + lh) - lb] = 2(bh + lh) + lb = ...
54,120
<|im_start|>user The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person Answer Choices: (A) 15 (B) 20 (C) 25 (D) 30 (E) 35<|im_end|> <|im_start|>assistant <think> </think> Explanation: Let's take the present age of ...
32,444
<|im_start|>user Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 30 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take? Answer Choices: (A) 40 (B) 50 (C) 60 (D) 80 (E) ...
56,964
<|im_start|>user Rahul went to a shop and bought things worth Rs. 24, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choices: (A) 18.7 (B) 20 (C) 22 (D) 21.4 (E) 21.5<|im_end|> <|im_start|>assistant <think> </think> Total cost...
2,959
<|im_start|>user Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound...
15,368
<|im_start|>user a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42.the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is? Answer Choices: (A) 50 sq units (B) 60 sq units (C) 70 sq units (D...
19,424
<|im_start|>user A frog jumps 3 ft comes back 2ft in a day. In how many days it will come out of 30ft deep well Answer Choices: (A) 27 (B) 28 (C) 29 (D) 30 (E) 31<|im_end|> <|im_start|>assistant <think> </think> A frog jumps 3ft in day and comes back 2ft in night.in how many days it will come out of 30ft deep well? (...
51,582
<|im_start|>user The average of five numbers is 27. if one number is excluded the average become 25. the excluded number is : Answer Choices: (A) 25 (B) 27 (C) 30 (D) 35 (E) 37<|im_end|> <|im_start|>assistant <think> </think> Solution Excluded number = (27 Ɨ 5) - (25 Ɨ 4) = 135 - 100 =35 . The answer is D<|endoftext|...
57,417
<|im_start|>user In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis? Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|> <|im_start|>assistant <think> </think> Let x play both badminton and tennis so 17-x play only bad...
80,430
<|im_start|>user A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 40,000, what will be the amount A receives? Answer Choices: (A) 14700 (B) 14500 (C) 16800 (D) 14300 (E) 14000<|im_end|> <|im_start|>assistant <think> </think> Tot...
30,892
<|im_start|>user Find the number of zero's in the expression 1^1 * 2^2 * 3^3 * 4^4 * 5^5 * ……..10^10. Answer Choices: (A) 28 (B) 15 (C) 16 (D) 17 (E) 81<|im_end|> <|im_start|>assistant <think> </think> To find the number of zero's we have to find the powers of 2's and 5's. Powers of 2's = 2 + 4 + 6 + 8 + 10 = 26 But ...
88,686
<|im_start|>user Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 150 pages? Answer Choices: (A) 11 hours 15 mins (B...
27,611
<|im_start|>user If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is? Answer Choices: (A) 33% (B) 29% (C) 25% (D) 55% (E) 39%<|im_end|> <|im_start|>assistant <think> </think> C 25% Given that, cost price of 50 article is equal to selling price of 40 articles...
88,819
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule. In a chemical change, the chemical bonds in the molecules break...
389
<|im_start|>user A student chose a number, multiplied it by 6, then subtracted 138 from the result and got 102. What was the number he chose? Answer Choices: (A) 40 (B) 120 (C) 130 (D) 140 (E) 150<|im_end|> <|im_start|>assistant <think> </think> Solution: Let xx be the number he chose, then 6ā‹…xāˆ’138=102 6x=240 x=40 Th...
50,530
<|im_start|>user Chloroplasts, chromoplasts, and leucoplasts are all plastids, organelles found in what kind of cells? Answer choice: (A) animal cells (B) plant cells (C) lung cells (D) heart cells<|im_end|> <|im_start|>assistant <think> </think> Plastids are organelles in plant cells that may have various jobs. The ...
9,898
<|im_start|>user A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choices: (A) 5 (B) 8 (C) 9 (D) 2 (E) 3<|im_end|> <|im_start|>assistant <think> </think> 30 --- 3 DS = 10 ? ---- 1 18 ---- 3 US = 6 ? ---- 1 M = ? M = (10 + 6)/2 = 8 The answer...
43,140
<|im_start|>user How many 4-digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number? Answer Choices: (A) 1600 (B) 80 (C) 160 (D) 180 (E) 240<|im_end|> <|im_start|>assistant <think> </think> prime digits 2,3,5 and 7. three digit numbers _ _ _ 1st place can be fille...
68,124
<|im_start|>user Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is? Answer Choices: (A) 24 (B) 26 (C) 28 (D) 30 (E) 32<|im_end|> <|im_start|>assistant <think> </think> == 3:5:7 Total parts = 15 = The largest number value is 42 = The largest numb...
89,908
<|im_start|>user In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together? Answer Choices: (A) 120 (B) 190 (C) 250 (D) 370 (E) 720<|im_end|> <|im_start|>assistant <think> </think> The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it...
54,922
<|im_start|>user A room is 18 meters long, 15 meters wide 12 meters in height. The longest possible rod which can be placed in the room is Answer Choices: (A) 25.28 meters (B) 24.28 meters (C) 23.28 meters (D) 26.28 meters (E) 20.28 meters<|im_end|> <|im_start|>assistant <think> </think> Square root of 18^2+15^2+12^2...
71,590
<|im_start|>user A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age? Answer Choices: (A) 800 (B) 802 (C) 821 (D) 897 (E) 828<|im_end|> <|im_start|>assistant <think> </think> 25 = E/(1000 - E) * 100 1000 - E = 4E 1000 = 5E => E = 200 1000 - 200...
69,300
<|im_start|>user A boat can move upstream at 25 kmph and downstream at 30 kmph, then the speed of the current is? Answer Choices: (A) 5 (B) 6 (C) 7 (D) 2.5 (E) 9<|im_end|> <|im_start|>assistant <think> </think> US = 25 DS = 30 M = (35 - 25)/2 = 2.5 The answer is D<|endoftext|>
73,158
<|im_start|>user Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 100000 and 1000000 ? Answer Choices: (A) 10 (B) 11 (C) 101 (D) ...
43,113
<|im_start|>user If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is: Answer Choices: (A) 40% (B) 23% (C) 20% (D) 60% (E) 56%<|im_end|> <|im_start|>assistant <think> </think> C.P. of each article be Re. 1. Then, C.P. of 50 articles = Rs. 50; S.P. of 50 artic...
10,147
<|im_start|>user If f(x) = 4x āˆ’ √x and g(x) = x^2, what is f(g(5))? Answer Choices: (A) -4 (B) 8 (C) 16 (D) 32 (E) 95<|im_end|> <|im_start|>assistant <think> </think> g(x) = x² g(5) = 5² = 25 So, f(g(5)) = f(25) f(x) = 4x āˆ’ √x So, f(25) = 4(25) āˆ’ √25 = 100 - 5 = 95 = E The answer is E<|endoftext|>
64,737
<|im_start|>user In an office, totally there are 2800 employees and 25% of the total employees are males. 30% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years? Answer Choices: (A) 390 (B) 490 (C) 400 (D) 460 (E) None of these<|im_end|> <|im_start|>assistant <think> </t...
44,265
<|im_start|>user In a recent head-to-head run-off election, 18,000 absentee ballets were cast. 3/7 of the absentee ballets were thrown out and 2/9 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive? Answer Choices: (A) 2,000 (B) 3,000 (C) 6,000 (D) 8,000 (E) 9,0...
95,826
<|im_start|>user A work which could be finished in 7 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Answer Choices: (A) 22 (B) 20 (C) 60 (D) 71 (E) 11<|im_end|> <|im_start|>assistant <think> </think> x ------- 7 (x + 10) ---- 6 x * 7 = (x + 10)6 x = 60 \ The answer is C<|en...
76,175
<|im_start|>user A circle in the coordinate plane passes through points (-3, -2) and (-1, 4). What is the smallest possible area of that circle? Answer Choices: (A) 13Ļ€ (B) 26Ļ€ (C) 10Ļ€ (D) 52Ļ€ (E) 64Ļ€<|im_end|> <|im_start|>assistant <think> </think> The distance between the two points is sqrt(40). radius = sqrt(40)/2...
70,161
<|im_start|>user What approximate value should come in place of the question mark (?) in each of the following equations ? (9.009)1/2 + (16.0001)1/4 = (?)% of 50.5 Answer Choices: (A) 7 (B) 8 (C) 5 (D) 10 (E) 11<|im_end|> <|im_start|>assistant <think> </think> Explanation : 92 + 162 = (?)% of (50.5) 3 + 2 = (2)% of (...
15,359
<|im_start|>user A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit? Answer Choices: (A) 2205 (B) 2229 (C) 2205 (D) 2984 (E) 2223<|im_end|> <|im_start|>assistant <think> </think> A = 2000(21/20)2 = 2205 The answer is A<|endof...
41,401
<|im_start|>user The probability that A will not tell truth is 75% and the probability that B will tell truth is 60%.what is the probability that an incident described by them is true? Answer Choices: (A) 10% (B) 12% (C) 15% (D) 17% (E) 19%<|im_end|> <|im_start|>assistant <think> </think> A truth....> 25% B truth.......
16,875
<|im_start|>user If x is a prime number, which of the following cannot be an integer? Answer Choices: (A) x/2 (B) 5x/3 (C) 3x/7 (D) 15x/6 (E) x/6<|im_end|> <|im_start|>assistant <think> </think> x/2 can be an integer when x=2 5x/3 can be an integer when x=3 3x/7 can be an integer when x=7 15x/6==> 5x/2 can be an inte...
65,917
<|im_start|>user Let the polynomials be: P1(x)=3x2āˆ’7x+8, P2(x)=āˆ’5x2āˆ’4x+2, P1(x)+P2(x)= Answer Choices: (A) 2x2 + 11x - 7 (B) -2x2 - 11x + 10 (C) -2x2 - 11x + 6 (D) 2x2 - 9x + 7 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Solution: P1(x)+P2(x)=(3x2āˆ’7x+8)+(āˆ’5x2āˆ’4x+2)=P1(x)+P2(x)=(3x2āˆ’7x+8)+(āˆ’5x2āˆ’...
20,868