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<|im_start|>user A man is 30 years older than his son. In four years, his age will be twice the age of his son. The present age of this son is Answer Choices: (A) 22 years (B) 23 years (C) 24 years (D) 25 years (E) 26 years<|im_end|> <|im_start|>assistant <think> </think> Explanation: Let's Son age is x, then Father ...
59,614
<|im_start|>user If C.P. of 26 books is equal to S.P of 30 books , then your gain or loss is ? Answer Choices: (A) 23 1/3 gain % (B) 30 10/23 loss % (C) 13 1/3 loss % (D) 30 1/3 loss % (E) 40 1/3 loss %<|im_end|> <|im_start|>assistant <think> </think> Say the cost price of 26 books is $26 so $1 for a book. The cost o...
12,036
<|im_start|>user Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10 Answer Choices: (A) 14 (B) 15 (C) 17 (D) 21 (E) 20<|im_end|> <|im_start|>assistant <think> </think> A. 13 (can be weighed by keeping weights of 10 and 4) B. 15 (can be weighed by keeping weights of ...
55,112
<|im_start|>user Average of all prime numbers between 40 to 50 Answer Choices: (A) 37 (B) 37.8 (C) 43.6 (D) 39.8 (E) 40<|im_end|> <|im_start|>assistant <think> </think> Explanation: Prime numbers between 40 and 50 are: 41, 43, 47 Average of prime numbers between 40 to 50 will be (41+43+47 / 3)=131 / 3 =43.6 Option C ...
2,002
<|im_start|>user The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to a% of stall’s revenue and accounted for b% of sales of juice tetra packs. Which of the following expresses a in terms of b? Answ...
76,623
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Everything you can buy is either a good or a service. A good is something you can touch or hold in your hands. For example, a hammer is a good. A service is a job you pay someone else to do. For example, cooking food in a re...
5,441
<|im_start|>user At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choices: (A) 62.5 (B) 62.9 (C) 62.6 (D) 62.1 (E) 22.4<|im_end|> <|im_start|>assistant <think> </think> CP = 47.50 SP = 47.50*(125/...
75,438
<|im_start|>user Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is this student’s weekly allowance? Answer Choices: (A) $2.25 (B) $2.75 (C) $3.00...
69,873
<|im_start|>user 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 3 men and 2 women will do that task. Answer Choices: (A) 4/7 (B) 3/10 (C) 3/18 (D) 13/16 (E) 4/11<|im_end|> <|im_start|>assistant <think> </think> 3 m + 8 w = 6 m + 2 w 3...
80,133
<|im_start|>user If n is not equal to zero, and n+1/n = 10, then what is the value of n^4 + (1/n)^4? Answer Choices: (A) 9598 (B) 9600 (C) 9602 (D) 9604 (E) 9606<|im_end|> <|im_start|>assistant <think> </think> n + 1/n=10 we square both sides so we have n^2 + 1/n^2 +2 = 100 or n^2 + 1/n^2= 98 squaring again we have n...
28,518
<|im_start|>user Heat expansion is a result of the increase of what type of energy, exhibited by molecules bumping together? Answer choice: (A) light energy (B) radioactivity (C) kinetic energy (D) harmonic energy<|im_end|> <|im_start|>assistant <think> </think> Heat expansion is a result of the increase of kinetic e...
8,950
<|im_start|>user A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007? Answer Choices: (A) 63,000 (B) 2,000,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000<|im_end|> <|im_...
78,004
<|im_start|>user The ratio of the present ages of Giri and Hari is 5 : 8. 12 years hence, the ratio of their ages will be 11 : 14. Find the difference in their present ages? Answer Choices: (A) 5 years (B) 6 years (C) 3 years (D) 9 years (E) 2 years<|im_end|> <|im_start|>assistant <think> </think> Let the present age...
26,269
<|im_start|>user The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 7 years ago was 20 years. The present age of the husband is: Answer Choices: (A) 20 years (B) 30 years (C) 60 years (D) 36 years (E) 35 years<|im_end|> <|im_start|>assistant <think> </think> D 36 ...
15,803
<|im_start|>user Friendly bacteria live mostly in the large intestine and part of the small intestine, because what organ is too acidic? Answer choice: (A) skin (B) stomach (C) rectum (D) liver<|im_end|> <|im_start|>assistant <think> </think> Your large intestine is not just made up of cells. It is also an ecosystem ...
5,573
<|im_start|>user Evaluate 2+22+222+2.22 Answer Choices: (A) 269.72 (B) 268.22 (C) 248.21 (D) 248.22 (E) 268.21<|im_end|> <|im_start|>assistant <think> </think> 2+22+222+2.22=248.22 Option D The answer is D<|endoftext|>
76,267
<|im_start|>user What is the unit digit in (4137)^754? Answer Choices: (A) 1 (B) 3 (C) 7 (D) 5 (E) 9<|im_end|> <|im_start|>assistant <think> </think> Unit digit in (4137)^754 = Unit digit in {[(4137)^4]^188 x (4137)^2} Unit digit of 7^4 is 1 and of 4137^2 is 9. so the required unit digit = 1 x 9 = 9. The answer is E<...
43,208
<|im_start|>user If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle? Answer Choices: (A) 122 sq.cm (B) 120 sq.cm (C) 277 sq.cm (D) 118 sq.cm (E) 119 sq.cm<|im_end|> <|im_start|>assistant <think> </think> let length = x and breadth = y then 2(x+y) = 46 x+y = 23 x²+y²...
2,513
<|im_start|>user Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1340, how much does he invest in 12% stock at Rs. 120? Answer Choices: (A) s. 4000 (B) s. 4500 (C) s. 5000 (D) s. 6000 (E) s. 6500<|im_end|> <|im_start|>assistan...
87,937
<|im_start|>user Use the following context to help answer a multiple choice question. Context: A fact is something that can be proved to be true. Facts can be proved by observing, measuring, or studying information. The flag of the United States has 13 stripes. This is a fact. It can be proved by looking at the flag a...
2,338
<|im_start|>user A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 60 percent reduction in the recipien...
81,074
<|im_start|>user What does photosynthesis allow plants to generate? Answer choice: (A) organic molecules (B) enriched molecules (C) geometric molecules (D) clorophyll<|im_end|> <|im_start|>assistant <think> </think> The answer is A<|endoftext|>
7,615
<|im_start|>user The sum of three consecutive even numbers multiples of 3 is 72. what is the largest number ? Answer Choices: (A) 21 (B) 24 (C) 27 (D) 36 (E) None<|im_end|> <|im_start|>assistant <think> </think> Solution let the number be x and x + 2. Then, (x + 2)2 - x2 = 84 ⇔ 4 x + 4 = 84 ⇔ 4 x = 80 ⇔ x = 20. ∴ Req...
71,241
<|im_start|>user How many three-digit integers exist such that all their digits are odd? Answer Choices: (A) 80 (B) 100 (C) 120 (D) 125 (E) 135<|im_end|> <|im_start|>assistant <think> </think> so last digit can be filled in 5 ways- 1,3,5,7,9 there are 5 possibilities. The answer is 5∗5∗5=125 The The answer is D<|endo...
92,131
<|im_start|>user A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 810 sq. feet, how many feet of fencing will be required? Answer Choices: (A) 34 (B) 40 (C) 68 (D) 84 (E) None<|im_end|> <|im_start|>assistant <think> </think> EXPLANATION We have: l = 3...
5,299
<|im_start|>user In how many V ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password? Answer Choices: (A) 720 (B) 864 (C) 900 (D) 936 (E) 1,296<|im_end|> <|im_start|>assistant <think> </think> Total number of four letter pas...
21,285
<|im_start|>user The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar? Answer Choices: (A) 1/(XY) . (B) X/Y. (C) Y/X. (D) 1/(X+Y) . (E) 1/(X-Y) .<|im_end|> <|im_start|>assist...
3,844
<|im_start|>user If B takes 20% less time than A, to cover the same distance. What should be the speed of B, if A works at a rate of 10 km/hr? Answer Choices: (A) 12.5 km/hr (B) 10 km/hr (C) 15 km/hr (D) 20 km/hr (E) 25 km/hr<|im_end|> <|im_start|>assistant <think> </think> Explanation: S1 = 10 kmph if T1 = 100 T2 = ...
69,147
<|im_start|>user How many three letter words are formed using the letters of the word TIME? Answer Choices: (A) 12 (B) 14 (C) 18 (D) 24 (E) 61<|im_end|> <|im_start|>assistant <think> </think> The number of letters in the given word is four. The number of three letter words that can be formed using these four letters ...
22,243
<|im_start|>user There are 2000 employees working in abc limited. out of them 40% of the employees using i phone and out of them 12% having BMW car out of them 70% are boys. Then find out the number of boys how many of the having BMW car and i phone? Answer Choices: (A) 96 (B) 84 (C) 59 (D) 67 (E) 45<|im_end|> <|im_sta...
29,978
<|im_start|>user Last year a worker saved 10% of her annual salary. This year, she made 10% more money than last year and she saved 12% of her salary. The amount she saved this year was what percent of the amount she saved last year? Answer Choices: (A) 126% (B) 128% (C) 130% (D) 132% (E) 134%<|im_end|> <|im_start|>ass...
13,707
<|im_start|>user The number 70 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) 17 (B) 16 (C) 15 (D) 14 (E) 13<|im_end|> <|im_start|>assistant <think> </think> I think brute force with some common sense should be used to solve this pro...
46,461
<|im_start|>user Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 8:30 a.m. and drives north on the same highway at an average speed of 55 km per hour. Mr. Dinkle will Answer Choices: (A) overtake Mr. Smitherly at 10:...
76,295
<|im_start|>user If a man lost 10% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Answer Choices: (A) 6.5 (B) 7.5 (C) 7 (D) 8 (E) 2<|im_end|> <|im_start|>assistant <think> </think> 90% ---- 12 144% ---- ? 90/144 * 12 = 7.50 The answer is B<|endoftext|>
66,384
<|im_start|>user Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes Answer Choices: (A) 1700 (B) 7570 (C) 1576 (D) 17576 (E) 500<|im_end|> <|im_start|>assistant ...
72,937
<|im_start|>user What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 5? Answer Choices: (A) 897 (B) 98,910 (C) 64,749 (D) 49,700 (E) 56,720<|im_end|> <|im_start|>assistant <think> </think> Find the number , Upon Sum of 3 Digits of a number Gives a Reminder 2 when it is Divided by 5 Se...
43,598
<|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....
3,795
<|im_start|>user If the probability R of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period? Answer Choices: (A) 8/125 (B) 2/25 (C) 5/16 (D) 8/25 (E) 3/4<|im_end|> <|im_start|>assistant <think> </think> 5C3 (1/2)^3(1/2)^2 = (5 * 4 * 3!)/2!3! * 1/32 R= 5/...
9,684
<|im_start|>user Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time? Answer Choices: (A) 17 1/7 (B) 17 1/9 (C) 17 8/7 (D) 17 8/8 (E) 17 2/7<|im_end|> <|im_start|>ass...
27,478
<|im_start|>user The average of five consecutive even numbers A, B, C, D and E is 20. What percent of E is D? Answer Choices: (A) 90.1 (B) 91.7 (C) 97.1 (D) 101.1 (E) 107.1<|im_end|> <|im_start|>assistant <think> </think> Explanation : In such a case the middle number (C) is the average ∴ C = 20 and D = 22 and E = 24...
59,074
<|im_start|>user How many different ways can you select a pilot and a co pilot if you have 100 people to choose from? Answer Choices: (A) 199 (B) 200 (C) 398 (D) 4950 (E) 9900<|im_end|> <|im_start|>assistant <think> </think> 1) PERMUTATION:- since it is selection, we have to find permutation.. 100P2= 100!/(100-2)!=10...
84,053
<|im_start|>user The type of vesicle transport that moves a substance out of the cell is called? Answer choice: (A) morphogenesis (B) metabolism (C) exocytosis (D) endocytosis<|im_end|> <|im_start|>assistant <think> </think> Exocytosis is the type of vesicle transport that moves a substance out of the cell. A vesicle...
6,622
<|im_start|>user The three digits of a number add up to 26. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits? Answer Choices: (A) 450 (B) 460 (C) 500 (D) 520 (E) 490<|im_end|> <|im_start|>assistant <think> </think> Say the three-digit number is abc. ...
64,845
<|im_start|>user total dinning bill of 9 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . Answer Choices: (A) 21.84 (B) 12.84 (C) 16.98 (D) 24.84 (E) 15.84<|im_end|> <|im_start|>assistant <think> </think> dinner bill of 9 person = 139 + 10% tip so, 10% of 139 = (139...
21,330
<|im_start|>user A furniture dealer purchased a desk for $240 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk? Answer ...
52,601
<|im_start|>user A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ? Answer Choices: (A) 45 m (B) 50 m (C) 55 m (D) 60 m (E) 65 m<|im_end|> <|im_start|>as...
53,955
<|im_start|>user A man sells an article at 15% loss. Had he sold it for Rs. 420/- more he could have gained 20%. What is the cost price of the article? Answer Choices: (A) Rs.420/- (B) Rs.400/- (C) Rs.900/- (D) Rs.1200/- (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Explanation: Short cut method:...
62,278
<|im_start|>user Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 700...
56,239
<|im_start|>user P software has coding line 5% more than N, N software has coding line 1/3 more than M. M software has 90 lines of coding. find P lines. Answer Choices: (A) 106 (B) 107 (C) 126 (D) 109 (E) 110<|im_end|> <|im_start|>assistant <think> </think> M s/w has 90 line of code N s/w has = 90+90*1/3= 120 line of...
89,328
<|im_start|>user A and B started a business with their capitals Rs. 12,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio Answer Choices: (A) 2:3 (B) 1:3 (C) 1:4 (D) 2:5 (E) 1:5<|im_end|> <|im_start|>assistant <think> </think> 12,000:36,000 Ans. 1:3 The answer is B<|endoftext|>
31,509
<|im_start|>user IF 2+3=13 ; 3+5=31 ; 5+7=59, Then 7+9=? Answer Choices: (A) 95 (B) 86 (C) 67 (D) 98 (E) 89<|im_end|> <|im_start|>assistant <think> </think> 2 X 2 + 3^2 = 4 + 9 = 13 3 X 2 + 5^2= 6 + 25 = 31 5 X 2 + 7^2= 10 + 49 = 59 and 7 X 2 + 9^2= 14 + 81 = 95 The answer is A<|endoftext|>
58,611
<|im_start|>user Raviraj invested an amount of 10,000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years? Answer Choices: (A) 12,310 (B) 13,210 (C) 13,320 (D) 13,120 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Amount = 10000(1 + ...
92,503
<|im_start|>user By 180 million years ago, pangaea began to do what? Answer choice: (A) combine (B) freeze (C) grow (D) break up<|im_end|> <|im_start|>assistant <think> </think> By 180 million years ago, Pangaea began to break up. The continents started to drift apart. They slowly moved to where they are today. The m...
10,612
<|im_start|>user It is currently 8:34 PM. At what time in the morning was it exactly 39,668 minutes ago? Answer Choices: (A) 7:22 (B) 7:24 (C) 7:26 (D) 7:28 (E) 7:30<|im_end|> <|im_start|>assistant <think> </think> Divide 39,668 by 60 to convert to minutes: 39,668/60 = 661 R8. That is 661 hours, 8 minutes. All of The...
62,959
<|im_start|>user In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is Answer Choices: (A) 33 (B) 10 (C) 88 (D) 37 (E) 32<|im_end|> <|im_start|>assistant <think> </think> 10 points The answer is B<|endoftext|>
53,394
<|im_start|>user If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability Q that this product will be a multiple of 45? Answer Choices: (A) 1/32 (B) 1/28 (C) 1/24 (D) 1/16 (E) 1/14<|im_end|> <|im_start|>assistant <think> </think>...
8,945
<|im_start|>user What is the smallest part of a compound? Answer choice: (A) electron (B) dna (C) nucleus (D) molecule<|im_end|> <|im_start|>assistant <think> </think> A compound is a substance that consists of two or more elements. A compound has a unique composition that is always the same. The smallest particle of...
4,708
<|im_start|>user (17)5.25 x (17)? = 178 Answer Choices: (A) 2.29 (B) 2.75 (C) 4.25 (D) 4.5 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Solution let (17)5.25 * (17)x = 178. then, (17)5.25 + x = (17)8. ∴ 5.25 + x = 8 ⇔ x = (8 - 5.25) ⇔ x = 2.75 The answer is B<|endoftext|>
24,340
<|im_start|>user Which is the middle even number between 12 and 24? Answer Choices: (A) 24 (B) 36 (C) 42 (D) 8 (E) 19<|im_end|> <|im_start|>assistant <think> </think> 12+x = 24-x 2 x = 14 X = 7 Now 12+x = 19 The answer is E<|endoftext|>
82,128
<|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...
4,175
<|im_start|>user In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State? Answer Choic...
57,577
<|im_start|>user Walking 7/6 of his usual rate, a boy reaches his school 6 min early. Find his usual time to reach the school? Answer Choices: (A) 22 (B) 28 (C) 99 (D) 42 (E) 66<|im_end|> <|im_start|>assistant <think> </think> Speed Ratio = 1:7/6 = 6:7 Time Ratio = 7:6 1 -------- 7 6 --------- ? =42 m The answer is D...
42,663
<|im_start|>user 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 3/4 of the red fish and 3/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male? Answer Choices: (A) 2/5 (B) 3/10 (C) 7/10 (D) ...
67,869
<|im_start|>user What are the dark areas that appear on the sun called? Answer choice: (A) sunspots (B) coronas (C) anomalies (D) coreolis effect<|im_end|> <|im_start|>assistant <think> </think> Tiny Mercury is the small black dot in the lower center of this picture of the Sun. The larger dark area near the left edge...
10,327
<|im_start|>user A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.750 less than the sum lent. What was the sum lent? Answer Choices: (A) 1000 (B) 1220 (C) 1250 (D) 1060 (E) 1110<|im_end|> <|im_start|>assistant <think> </think> P - 750 = (P*5*5)/100...
95,210
<|im_start|>user A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.95? Answer Choices: (A) 980 (B) 1170 (C) 1530 (D) 1720 (E) 1960<|im_end|> <|...
37,853
<|im_start|>user What is another term for dry ice? Answer choice: (A) liquid nitrogen (B) ice crystals (C) carbonated ice (D) solid carbon dioxide<|im_end|> <|im_start|>assistant <think> </think> Solid carbon dioxide is also called dry ice. That’s because when it gets warmer and changes state, it doesn’t change to a ...
8,144
<|im_start|>user What cells carry oxygen? Answer choice: (A) marrow cells (B) white blood cells (C) lymph cells (D) red blood cells<|im_end|> <|im_start|>assistant <think> </think> Red blood cells carry oxygen, white blood cells defend the body, and platelets help blood clot. The answer is D<|endoftext|>
10,412
<|im_start|>user If S> 0 and S is divisible by the product of the first nine positive integers, all of the following must be factors of S except Answer Choices: (A) 35 (B) 40 (C) 63 (D) 315 (E) 704<|im_end|> <|im_start|>assistant <think> </think> The question states taht S is divisible by 9!,which is 1*2*3*4*5*6*7*8*...
50,173
<|im_start|>user What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years? Answer Choices: (A) 5% (B) 8% (C) 9% (D) 4% (E) 1%<|im_end|> <|im_start|>assistant <think> </think> 160 = (180*4*R)/100 R = 5% The answer is A<|endoftext|>
6,403
<|im_start|>user Which one of the following is divisible by 9? Answer Choices: (A) 23, 50, 821 (B) 28, 70, 052 (C) 42, 13, 533 (D) 64, 000, 80 (E) 65, 000, 90<|im_end|> <|im_start|>assistant <think> </think> Explanation: (a) 2350821 = 2+3+5+0+8+2+1 = 21, not divisible by 9 (b) 2870052 = 2+8+7+5+2 = 24, not divisible ...
58,816
<|im_start|>user If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2, b2, c2 is: Answer Choices: (A) M2 (B) 3M2 (C) 6M2 (D) 9M2 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Explanation : We have : (a + b + c)/3 = M or (a + b + c) = 3M. Now, (a + b + c)*(a + b + c) = (3M)^2 = 9M...
75,432
<|im_start|>user A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $225 for it, the cost price of the Cricket Bat for A is: Answer Choices: (A) 150 (B) 120 (C) 130 (D) 160 (E) 210<|im_end|> <|im_start|>assistant <think> </think> A 150 125% of 120% of A = 225 125/100 * 120/10...
66,118
<|im_start|>user If x+y=14, x-y=60, for integers of x and y, x=? Answer Choices: (A) 37 (B) 35 (C) 25 (D) 20 (E) 42<|im_end|> <|im_start|>assistant <think> </think> x+y =14 x-y = 60 2x = 74 x = 37 The answer is A<|endoftext|>
95,387
<|im_start|>user If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ? Answer Choices: (A) 1 day (B) 4 days (C) 40 days (D) 100 days (E) 50 days<|im_end|> <|im_start|>assistant <think> </think> as 100 cats kill 100 mice in 100 days 1 cats kill 1 mouse in 100 days then 4 cats kill 4 m...
89,038
<|im_start|>user The average age of an adult class is 50 years. 12 new students with an avg age of 32 years join the class. Therefore decreasing the average by 4 years. Find what was the original average age of the class? Answer Choices: (A) 10 (B) 12 (C) 42 (D) 20 (E) 22<|im_end|> <|im_start|>assistant <think> </thin...
5,500
<|im_start|>user A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car? Answer Choices: (A) 1:2 (B) 1:5 (C) 1:9 (D) 1:3 ...
11,330
<|im_start|>user 6,61,212,507,_? Answer Choices: (A) 974 (B) 994 (C) 954 (D) 845 (E) 754<|im_end|> <|im_start|>assistant <think> </think> (2)3-2=6 (4)^3-3=61 (6)^3-4=212 (8)^3-5=507 (10)^3-6=994 The answer is B<|endoftext|>
66,478
<|im_start|>user If TIER is written as 8163 and BRAIN is written as 23415, how is RENT coded ? Answer Choices: (A) 3653 (B) 3658 (C) 2977 (D) 2790 (E) 2711<|im_end|> <|im_start|>assistant <think> </think> Explanation: Given : Letter : T I E R B A N Code : 8 1 6 3 2 4 5 Thus, the code for RENT is 3658. The answer is B...
19,025
<|im_start|>user Mary and Harry enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the invest...
63,096
<|im_start|>user One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 16 cm2. Find the lengths of all sides. Answer Choices: (A) 10 and 3 (B) 9 and 6 (C) 10 and 7 (D) 3 and 10 (E) 10 and 10<|im_end|> <|im_start|>assi...
23,323
<|im_start|>user Look at this series: 2, 1, (1/2), (1/4), (1/8), ... What number should come next? Answer Choices: (A) (1/3) (B) (1/5) (C) (1/6) (D) (1/10) (E) (1/16) <|im_end|> <|im_start|>assistant <think> </think> This is a simple division series; each number is one-half of the previous number. In other terms ...
25,884
<|im_start|>user Seven men and seven women have to sit around a circular table so that no 2 women are together. In how many different ways can this be done? Answer Choices: (A) 6!*7! (B) 136!*7! (C) 356!*7! (D) 366!*7! (E) 566!*7!<|im_end|> <|im_start|>assistant <think> </think> Yes, the solution given above is corre...
50,834
<|im_start|>user The average of 11 numbers is 10.7. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is Answer Choices: (A) 13.7 (B) 11.5 (C) 81.5 (D) 11.5 (E) 21.5<|im_end|> <|im_start|>assistant <think> </think> Explanation: Middle numbers = [(10.5 x 6...
1,159
<|im_start|>user Which of the following statements must be true? I. The product of first 100 prime numbers is even. II. The sum of first 100 prime numbers is odd. III. The sum of first five non-negative even numbers is divisible by both 4 and 5. Answer Choices: (A) I only (B) II only (C) I and II only (D) I and III onl...
73,986
<|im_start|>user Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 20 litres of tomato juice? Answer Choices: (A) 2.8 liters. (B) 2.5 liters. (C) 8.5 liters. (D) 2.6 liters. (E) 2.1 liters....
7,601
<|im_start|>user From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning? Answer Choices: (A) 40 (B) 30 (C) 50 (D) 60 (E) 10<|im_end|> <|im_start|>assistant <think> </think> Let ...
29,609
<|im_start|>user Which of the following fractions terminates? Answer Choices: (A) 3/160 (B) 5/900 (C) 7/220 (D) 9/120 (E) 11/550<|im_end|> <|im_start|>assistant <think> </think> For a fraction to have terminating decimal, it must either have only 2 and/or 5 in the denominator. All other values in the denominator lead...
425
<|im_start|>user A one-foot stick is marked in 1/3 and 1/4 portion. How many total markings will there be, including the end points? Answer Choices: (A) 8 (B) 9 (C) 7 (D) 6 (E) 5<|im_end|> <|im_start|>assistant <think> </think> LCM of 12 = 12 1/3 marking are (Table of 4) 0...... 4 ......8..... 12 (Total = 4) 1/4 mark...
7,110
<|im_start|>user Excluding the stoppages, the speed of a bus is 12 km/hr and including the stoppages the speed of the bus is 6 km/hr. For how many minutes does the bus stop per hour? Answer Choices: (A) 15 min (B) 30 min (C) 12 min (D) 20 min (E) 18 min<|im_end|> <|im_start|>assistant <think> </think> Speed of the bu...
6,479
<|im_start|>user What organ is similar to a lymph node but is much larger and filters blood instead of lymph? Answer choice: (A) kidney (B) liver (C) spleen (D) bone<|im_end|> <|im_start|>assistant <think> </think> Figure 42.21 The spleen is similar to a lymph node but is much larger and filters blood instead of lymp...
8,461
<|im_start|>user In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years o...
17,284
<|im_start|>user If the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters, what is the length of the rectangle, in centimeters? Answer Choices: (A) 4 (B) 8 (C) 12 (D) 24 (E) 18<|im_end|> <|im_start|>assistant <think> </think> Let length of rectangle...
21,657
<|im_start|>user What is the equation of a circle of radius 4 units centered at (3, 2)? Answer Choices: (A) x^2 + y^2 + 6x – 4y = 23 (B) x^2 + y^2 - 6x + 4y = 23 (C) x^2 + y^2 - 6x – 4y = 3 (D) x^2 + y^2 - 6x – 4y = - 23 (E) x^2 + y^2 + 6x + 4y = 23<|im_end|> <|im_start|>assistant <think> </think> the equation of a c...
69,693
<|im_start|>user How many prime numbers Z exist such that 90 < Z < 106 and n is a factor of 99999919? Answer Choices: (A) 1. Zero (B) 2. One (C) 3. Two (D) 4. Three (E) 5. More than three<|im_end|> <|im_start|>assistant <think> </think> I found that considering the constraint..Z is a prime num in between 90 to 106 no...
52,571
<|im_start|>user P and Q had the same number of candies. P gave Q 22 candies so that now Q has five times as many candies as P has. How many candies does Q have now? Answer Choices: (A) 35 (B) 40 (C) 45 (D) 50 (E) 55<|im_end|> <|im_start|>assistant <think> </think> Let P and Q be the number of candies they had at the...
11,733
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Present tense verbs tell you about something that is happening now. Most present-tense verbs are regular. They have no ending, or they end in -s or -es. Two verbs are irregular in the present tense, to be and to have. You mu...
4,173
<|im_start|>user Find the invalid no.from the following series 3, 7, 15, 31, 61, 127, 255 Answer Choices: (A) 3 (B) 61 (C) 27 (D) 63 (E) 127<|im_end|> <|im_start|>assistant <think> </think> Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 61 is wrong. B The answer is B<|endoftext|>
73,128
<|im_start|>user Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ? Answer Choices: (A) 5/18 (B) 5/27 (C) 7/36 (D) 5/54 (E) 7/108<|im_e...
78,982
<|im_start|>user In seventeen given numbers, the average of first 9 numbers is 4 and that of the last 9 numbers is also 4. If the average of these 17 numbers is 3, the 9th number is Answer Choices: (A) 23 (B) 4 (C) 17 (D) 21 (E) 28<|im_end|> <|im_start|>assistant <think> </think> Explanation : 9th number = (9*4 + 9*4...
81,575