loafeihong/math_mmlu_format huggingface dataset:
A rectangular-shaped carpet that measures x feet by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet) Answer Choice: (A) xy/360 (B) 9xy/40 (C) 40xy/9 (D) 450xy (E) 450/(xy)
Answer: E
The local recycling plant had a contract requiring anyone who obtained recycled bottles for storage for them, to bring them back to be recycled again. The plant could make one new bottle from every seven bottles returned. One week, on Monday, they got 343 bottles to recycle. Assuming that everybody brought back all the empties, how many could they eventually remake from the 343? Answer Choice: (A) 53 (B) 54 (C) 55 (D) 56 (E) 57
Answer: E
Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer. Answer Choice: (A) (a – b)2 + 4ab (B) a(a + b) + b(a + b) (C) (a2 – b2) + 2b(b + a) (D) (a – b)b + (a + b)2b (E) (a + b)2 – 2a(a – b) + a(2a – 2b)
Answer: D
What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1? Answer Choice: (A) 1/9 sq units. (B) 4/9 sq units. (C) 8/9 sq units. (D) 7/9 sq units. (E) 6/9 sq units.
Answer: C
John tossed a fair coin 6 times. What is the probability that the coin landed heads up exactly twice? Answer Choice: (A) 0.094 (B) 0.15 (C) 0.194 (D) 0.25 (E) 0.294
Answer: A
Jack and Bill are randomly picking students to play kick-ball on the playground, one at a time (without return), from a group of ten students. Only five of the students among the twenty students are athletic. Jack picks first, then Bill, and so on.... What is the probability that Jack will get all of the athletes? (Answer in lowest terms). Answer Choice: (A) 1/3 (B) 7/273 (C) 1/2 (D) 1/75 (E) 1/252
Answer: E
If -3x > 6, which of the following must be true? Answer Choice: (A) x < -3 (B) x < -2 (C) x > 3 (D) x > -2 (E) x > 0
Answer: B
A 3-letter code word consists of letters B, and C. If the code includes all the two letters, how many such codes are possible? Answer Choice: (A) 72 (B) 48 (C) 36 (D) 24 (E) 6
Answer: E
Lucy deposited $62500 in an investment fund that provided 12 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100? Answer Choice: (A) 0.5 (B) 12 (C) 3 (D) 18 (E) 6.1
Answer: D
The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 8 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choice: (A) 30 (B) 20 (C) 11 (D) 14 (E) 6
Answer: C
If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, then find the depth of the tank. Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) None of them
Answer: C
The equation q = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at q = -5, the equation for l is Answer Choice: (A) + y + 15 = 0 (B) - 3x - 11 = 0 (C) + y - 16.5 = 0 (D) - y - 7 = 0 (E) + y + 13.5 = 0
Answer: C
Subtract. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
4/5 - 1/5= Answer Choice: (A) 1/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/5
Answer: C
What are the last two digits of 63*35*37*82*71*41? Answer Choice: (A) 10 (B) 30 (C) 40 (D) 70 (E) 80
Answer: D
Two trains start simultaneously from opposite ends of a 180-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 180-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 180-km trip in 4 hours. How many kilometers had Train X traveled when it met Train Y? Answer Choice: (A) 72 (B) 74 (C) 76 (D) 78 (E) 80
Answer: E
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58? Answer Choice: (A) Rs.3944 (B) Rs.3948 (C) Rs.3988 (D) Rs.3949 (E) Rs.3923
Answer: A
Find the product of the local value and absolute value of 4 in 20468? Answer Choice: (A) 1000 (B) 1100 (C) 1200 (D) 1340 (E) 1600
Answer: E
From a group of 4 boys and 4 girls, 4 children are to be randomly selected. What is the probability that 2 boys and 2 girls will be selected? Answer Choice: (A) 12/29 (B) 14/31 (C) 16/33 (D) 18/35 (E) 20/37
Answer: D
From a group of 16 astronauts that includes 7 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible? Answer Choice: (A) 270 (B) 252 (C) 272 (D) 292 (E) 285
Answer: B
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 80 days, then together ,all will finish the work in : Answer Choice: (A) 13 1/3 days (B) 16 days (C) 15 days (D) 20 days (E) 30 days
Answer: B
Ramu mixed 40% kerosene solution to 25% kerosene solution hence obtaining 30% kerosene solution. In what ratio were the both solutions mixed? Answer Choice: (A) 2:9 (B) 2:2 (C) 2:1 (D) 2:8 (E) 2:5
Answer: C
When p is divided by 9, the remainder is 3. All of the following are possible values of p, except for which of the following? Answer Choice: (A) 12 (B) 30 (C) 48 (D) 56 (E) 66
Answer: D
In an examination a pupil's average marks were 63 per paper. If he had obtained 26 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 14 (E) 12
Answer: D
Factor: 4x4y3 â€“ 64y3 Answer Choice: (A) A) 4y3(x2 + 4)(x + 2)(x -2) (B) B) 2y3(x2 + 4)(x + 2)(x -2) (C) C) 3y3(x2 + 4)(x + 2)(x -3) (D) D) 3y3(x2 + 4)(x + 3)(x -2) (E) E) 3y3(x2 + 4)(x + 2)(x -4)
Answer: A
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 2/3 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not? Answer Choice: (A) 4/15 (B) 3/40 (C) 13/40 (D) 7/20 (E) 13/22
Answer: A
A little girl is numbering her collection of butterflies by placing single-digit stickers under each specimen. If the girl has 330 butterflies, how many stickers does she need? (The numbers are consecutive and the number of the first butterfly is 1). Answer Choice: (A) 882 (B) 901 (C) 1,001 (D) 1,003 (E) 1,346
Answer: A
On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was Answer Choice: (A) 10 km/h (B) 30 km/h (C) 5 km/h (D) 20 km/h (E) None of these
Answer: D
If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire? Answer Choice: (A) 1 meters (B) 9 meters (C) 8 meters (D) 5 meters (E) 3 meters
Answer: A
What is the remainder when 3^33 is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is? Answer Choice: (A) difference=24 (B) 26 (C) 28 (D) 30 (E) 32
Answer: A
A man in a train notices that he can count 21 telephone posts in one minute.If they are known to be 50 meters apart , then at what speed is the train travelling ? Answer Choice: (A) 55 km/hr (B) 57 km/hr (C) 60 km/hr (D) 63 km/hr (E) None of these
Answer: C
Prove the theorem, due to Kraitchik, asserting that 13|2^70+3^70 Answer Choice: (A) 1^70+3^70 == 0 (mod 13), or 1|2^70+3^70 (B) 2 (C) 1 (D) 2^70+3^70 == 0 (mod 13), or 13|2^70+3^70 (E) 1
Answer: D
If selling price is doubled, the profit triples. Find the profit percent Answer Choice: (A) 128% (B) 100% (C) 126% (D) 276% (E) 262%
Answer: B
10 one question was x*y^2*z<0 then Answer Choice: (A) x<0 (B) xyz<0 (C) xz<0 (D) xy<0 (E) None of these
Answer: C
How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length? Answer Choice: (A) 82.5 (B) 27 (C) 55 (D) 18 (E) 12
Answer: A
Which of the following is an irrational numbers? Answer Choice: (A) √16 (B) √25 (C) √45 (D) √64 (E) √100
Answer: C
A bakery opened yesterday with its daily supply of 50 dozen rolls. Half of the rolls were sold by noon, and 84 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday? Answer Choice: (A)  5 (B)  4 (C)  3 (D)  2 (E)  1
Answer: B
A certain fruit stand sold apples for $0.70 each and cherry for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ? Answer Choice: (A) 12 (B) 11 (C) 13 (D) 14 (E) 15
Answer: B
Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house. Answer Choice: (A) 1/4 (B) 1/5 (C) 1/6 (D) 1/3 (E) 1/9
Answer: D
In one hour a boat goes 13 km long the stream and 9 km against the stream.The speed of the boat in still water is? Answer Choice: (A) 17 (B) 18 (C) 16 (D) 15 (E) 11
Answer: E
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ? Answer Choice: (A) 108 sq.cm (B) 112 sq.cm (C) 116 sq.cm (D) 120 sq.cm (E) 122 sq.cm
Answer: D
Today is Thursday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come? Answer Choice: (A) SUNDAY (B) MONDAY (C) TUESDAY (D) WEDNESDAY (E) FRIDAY
Answer: B
Mapy bought shares for a total value of $1000. Next day, the price of shares is reduced by 10%. With the same $1000, he could now buy 10 more shares. Which of the following is closest to the original price per share? Answer Choice: (A) $10 (B) $11 (C) $12 (D) $13 (E) $14
Answer: B
Students are asked to create a record of the recital of a poem for English class in groups of three. The tape length should be 1,200 seconds. The students assigned different stanzas of the poem to each member, and the individual records were compiled. If member three took 3 times longer than member two, and member two took equal time as member one, how many seconds did member three record for his/her reading? Answer Choice: (A) 720 (B) 240 (C) 1200 (D) 40 (E) 500
Answer: A
What is the missing number in this series?
8 2 14 6 11 ? 14 6 18 12 Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
There are 7 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played? Answer Choice: (A) 15 (B) 16 (C) 28 (D) 42 (E) 64
Answer: D
The percentage increase in the area of rectangle , if each of its side is increased by 10% is? Answer Choice: (A) 21% (B) 30% (C) 25% (D) 40% (E) 50%
Answer: A
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? Answer Choice: (A) 38 (B) 37 (C) 22 (D) 69 (E) 21
Answer: D
If 50% of (x-y) = 30% of (x+y), then what percent of x is y? Answer Choice: (A) 20% (B) 30% (C) 25% (D) 15% (E) 50%
Answer: C
The average of five results is 46 and that of the first four is 45. The fifth result is? Answer Choice: (A) 22 (B) 02 (C) 78 (D) 50 (E) 18
Answer: D
The difference between two numbers 1365.When the larger
number is divided by the smaller one the quotient is 6 and
the remainder is 15.The smaller number is? Answer Choice: (A) 270 (B) 170 (C) 230 (D) 130 (E) 420
Answer: A
Find the perimeter and area of a square of side 11 cm. Answer Choice: (A) 11 cm² (B) 81 cm² (C) 121cm² (D) 144 cm² (E) 151 cm²
Answer: C
Tim and Stacy need to select seats in a row of chairs that are numbered in order from 1 to 5. If Tim cannot sit in an even-numbered seat and Stacy cannot sit in an odd-numbered seat, how many arrangements are possible if the two cannot sit adjacent to each other and Tim and Stacy are the only people to be seated? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 20
Answer: B
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 36 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ? Answer Choice: (A)  16% (B)  32% (C)  68% (D)  84% (E)  92%
Answer: C
A can do a certain job in 14 days. B is 60% more efficient than A. How many days does B alone take to do the same job? Answer Choice: (A) 7 1/2 days (B) 8 3/4 days (C) 5 days (D) 9 days (E) None of them
Answer: B
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross-section is 630 square meters, what is the depth of the channel (in meters)? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: C
Set J consists of 18 consecutive even numbers. If the smallest term in the set is -12, what is the range of the positive integers in set J? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24
Answer: C
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 20 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election? Answer Choice: (A) 2% (B) 5% (C) 8% (D) 10% (E) 12%
Answer: E
The variables a and b are non-zero integers Q. If a = 2b^3/c, what happens to c when a is halved and b is doubled? Answer Choice: (A) c is not changed. (B) c is halved. (C) c is doubled. (D) c is multiplied by 4. (E) c is multiplied by 16.
Answer: E
Abbey has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have? Answer Choice: (A)  32 (B)  30 (C)  29 (D)  28 (E)  27
Answer: A
In the xy-coordinate system, what is the slope of the line that goes through the point (1, 1) and is equidistant from the two points P = (3, 7) and Q = (9, 11)? Answer Choice: (A) 0.5 (B) 0.625 (C) 0.75 (D) 0.875 (E) 1.0
Answer: B
A man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour. The woman stops to wait for the man 2 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 4
Answer: E
A tank has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find how much spirit is left in the resulting mixture finally? Answer Choice: (A) 6(257/525) gallons (B) 20(346/625) gallons (C) 6.5 gallons (D) 6.25 gallons (E) None of these
Answer: B
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees? Answer Choice: (A) 5 (B) 7 (C) 8 (D) 10 (E) 12
Answer: D
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 78 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) 8 min (B) 7 min (C) 5 min (D) 9 min (E) 6.5 min
Answer: E
N and M are each 3-digit integers. Each of the numbers 2, 3,4,5, 6, and 7 is a digit of either N or M. What is the smallest possible positive difference between N and M? Answer Choice: (A) 59 (B) 49 (C) 58 (D) 113 (E) 131
Answer: B
A department of eleven people - five men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send? Answer Choice: (A) 250 (B) 270 (C) 300 (D) 320 (E) 350
Answer: E
A baseball team won 45 percent of the first 80 games it played. How many of the remaining 85 games will the team have to win in order to have won exactly 40 percent of all the games it played? Answer Choice: (A) 30 (B) 45 (C) 50 (D) 55 (E) 81
Answer: A
A person decided to build a house in 100 days. He employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished? Answer Choice: (A) 40 (B) 80 (C) 70 (D) 60 (E) 50
Answer: D
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6936, how much amount did Raghu invest ? Answer Choice: (A) 1287 (B) 2887 (C) 2000 (D) 1129 (E) 2400
Answer: E
The CI on a certain sum for 2yrs at 10 percent/annum is Rs. 525. The SI on the same sum for double the time at 1/2 the rate % per annum is: Answer Choice: (A) Rs. 100 (B) Rs. 300 (C) Rs. 400 (D) Rs. 500 (E) Rs. 550
Answer: D
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ? Answer Choice: (A) 4.9 (B) 4.6 (C) 4.1 (D) 4.2 (E) 4.3
Answer: B
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 18. Find the sum : Answer Choice: (A) 4500 (B) 7500 (C) 5000 (D) 7200 (E) None of these
Answer: D
Two numbers have a H.C.F of 20 and a product of two numbers is 2560. Find the L.C.M of the two numbers? Answer Choice: (A) 140 (B) 150 (C) 160 (D) 128 (E) 180
Answer: D
Out of 10 persons working on a project, 5 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them? Answer Choice: (A) A)5/7 (B) B)5/12 (C) C)5/1 (D) D)1/12 (E) E)5/3
Answer: D
If the probability W 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 Choice: (A) 8/125 (B) 2/25 (C) 5/16 (D) 8/25 (E) 3/4
Answer: C
If a man lost 5% by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52%? Answer Choice: (A) 5 (B) 8 (C) 7 (D) 4 (E) 2
Answer: A
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 Choice: (A) 23/35 (B) 23/356 (C) 23/36 (D) 23/32 (E) 23/31
Answer: A
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 10.00 a.m. ? Answer Choice: (A) 7 (B) 5 (C) 9 (D) 2 (E) 10
Answer: E
at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work? Answer Choice: (A) 5 hour (B) 11/2 hour (C) 6 hour (D) 13/2 hour (E) 8 hour
Answer: C
John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half? Answer Choice: (A) 10 minutes. (B) 8 minutes. (C) 12 minutes. (D) 6 minutes. (E) 17 minutes.
Answer: D
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group? Answer Choice: (A) 300 (B) 450 (C) 600 (D) 750 (E) None of these
Answer: C
A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article ? Answer Choice: (A) $100 (B) $200 (C) $300 (D) $400 (E) $500
Answer: D
A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Answer Choice: (A) 40 (B) 87 (C) 48 (D) 21 (E) 14
Answer: C
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 10 hours a day, the number of men required? Answer Choice: (A) 10days (B) 12days (C) 13days (D) 11days (E) 9days
Answer: B
A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ? Answer Choice: (A) 40 sec (B) 35 sec (C) 33 sec (D) 42 sec (E) 41 sec
Answer: A
The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class. Answer Choice: (A) 71 (B) 74 (C) 57 (D) 70 (E) 72
Answer: D
The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary? Answer Choice: (A) 10.1% (B) 9.68% (C) 11.11% (D) 8.62% (E) 12.13%
Answer: C
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is? Answer Choice: (A) 125786 (B) 158799 (C) 564323 (D) 344567 (E) 220030
Answer: E
If you write down all the numbers from 1 to 100, then how many times do you write 2 ? Answer Choice: (A) A)11 (B) B)18 (C) C)20 (D) D)21 (E) E)22
Answer: C
I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number? Answer Choice: (A) 1/1002 (B) 1/1028 (C) 1/1000 (D) 1/1287 (E) 1/1289
Answer: C
In a 200 meters race, A beats B by 20 meters, while in a 100 meters race, B betas C by 5 meters. A beats C in a kilometer race by Answer Choice: (A) 105 meters (B) 225 meters (C) 205 meters (D) 145 meters (E) None
Answer: D
A boat goes 100 km downstream in 10 hours, and 60 m upstream in 15 hours. The speed of the stream is? Answer Choice: (A) 3 (B) 22 1/4 (C) 22 1/2 (D) 22 1/1 (E) 22 1/3
Answer: A
If the price of 357 apples is Rs.1517.25, what will be the approximate price of 49 dozens of such apples? Answer Choice: (A) Rs. 2500 (B) Rs. 2300 (C) Rs. 2200 (D) Rs. 1400 (E) Rs. 1600
Answer: A
Two cards are drawn together from a pack of 52 cards. The probability that one is a club and other is a diamond, is: Answer Choice: (A) 29/34 (B) 47/100 (C) 3/20 (D) 13/102 (E) None of these
Answer: D
Which of the following equations describes a line that is perpendicular to y = x/2 + 5? Answer Choice: (A) y = x − 5 (B) y = −3 − 2x (C) y = 5x (D) y = 5x - 1 (E) y = 1/x + 5
Answer: B
If b < 2 and 2x - 2b = 0, which of the following must be true? Answer Choice: (A) x > -3 (B) x < 2 (C) x = 3 (D) x < 3 (E) D. x > 3
Answer: B
By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is: Answer Choice: (A) 5760 (B) 7667 (C) 4445 (D) 4566 (E) 3344
Answer: C
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running? Answer Choice: (A) 2 1/0 (B) 2 1/8 (C) 2 1/5 (D) 2 1/3 (E) 2 1/2
Answer: E
In a forest 140 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest? Answer Choice: (A) 150 (B) 750 (C) 1,250 (D) 1,400 (E) 2,500
Answer: D