loafeihong/math_mmlu_format huggingface dataset:
What is the sum Q of all 3 digit numbers that leave a remainder of '2' when divided by 3? Answer Choice: (A) 897 (B) 164,850 (C) 164,749 (D) 149,700 (E) 156,720
Answer: B
Hari purchased 6 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Answer Choice: (A) A)910 (B) B)1065 (C) C)1070 (D) D)1075 (E) E)1080
Answer: A
4, 12, 48, 240, 1440,10080,80640, 725760(...) Answer Choice: (A) 7257600 (B) 10080 (C) 6200 (D) 10020 (E) 12500
Answer: A
In a lottery, there are 12 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize? Answer Choice: (A) 1/3 (B) 1/5 (C) 2/5 (D) 1/7 (E) 2/7
Answer: E
From a group of 3 CATS and 3 DOGS, 4 animals are to be randomly selected. What is the probability that equal numbers of cats and dogs will be selected? Answer Choice: (A) 1/5 (B) 2/5 (C) 4/5 (D) 3/5 (E) 1
Answer: D
In the Land of Oz only one or two-letter words are used. The local language has 68 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition? Answer Choice: (A) 65 (B) 66 (C) 67 (D) 131 (E) 136
Answer: E
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Answer Choice: (A) s.4528 (B) s.4520 (C) s.4527 (D) s.4530 (E) s.2718
Answer: E
HDFC bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year? Answer Choice: (A) 1:5 (B) 625:3125 (C) 100:105 (D) 100^4:105^4 (E) 725:3225
Answer: C
X, Y, and Z are consecutive numbers and X > Y > Z. Also, 2X + 3Y + 3Z = 5Y + 8. What is the value of Z? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 248 (B) 289 (C) 240 (D) 242 (E) 229
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 2287 (B) 27 (C) 299 (D) 287 (E) 150
Answer: E
2034 - (1002 / 20.04) = ? Answer Choice: (A) 2984 (B) 2983 (C) 2982 (D) 2981 (E) 1984
Answer: E
George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70
Answer: A
mr. depak has $419,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options: Answer Choice: (A) $1 (B) $2 (C) $3 (D) $4 (E) $6
Answer: D
If y exceeds x by 20%, then x is less than y by? Answer Choice: (A) 16% (B) 16 1/3 % (C) 16 2/3 % (D) 16 3/5 % (E) 16 4/5 %
Answer: C
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 Choice: (A) 5409 (B) 54087 (C) 5400 (D) 546 (E) 5401
Answer: C
Three grades of milk are 1 percent, 3 percent and 2 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z? Answer Choice: (A) y + 3z (B) (y +z) / 4 (C) 2y + 3z (D) 3y + z (E) 3y + 4.5z
Answer: D
Mrs. Rodger got a weekly raise of $165. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Answer Choice: (A) $ 165. (B) $ 146 (C) $ 147 (D) $ 148 (E) None
Answer: A
C individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal? Answer Choice: (A) dx / C (B) x / (C-d) (C) d / (C-dx) (D) x / (C(C-d)) (E) dx / (C(C-d))
Answer: E
A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 49 (B) 50 (C) 12 (D) 13 (E) 77
Answer: E
Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent K of the lights that are on are supposed to be off? Answer Choice: (A) 22(2/9)% (B) 16(2/3)% (C) 11(1/9)% (D) 10% (E) 5%
Answer: D
The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H? Answer Choice: (A) 3 (B) 8 (C) 5 (D) 6 (E) 4
Answer: E
The jogging track in a sports complex is 640 m in circumference. Lata and Geeta start from the same point and walk in opposite directions at 4.2 km/hr and 3.8 km/hr respectively. They will meet for the first time in? Answer Choice: (A) 2.9 min (B) 3.9 min (C) 4.2 min (D) 4.8 min (E) 5.6 min
Answer: D
A man can row downstream at the rate of 12 Km/hr and upstream at 8 Km/hr. Find man's rate in still water and the rate of current? Answer Choice: (A) 9,6 (B) 6,3 (C) 9,3 (D) 10,2 (E) None of these
Answer: D
Which of the following CANNOT be a product of two distinct positive integers x and y? Answer Choice: (A) x (B) y (C) 3y + 2x (D) y - x (E) yx
Answer: D
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches? Answer Choice: (A) 50% (B) 87% (C) 100% (D) 187% (E) 200%
Answer: C
For which of the following values of n is (300+n)/n NOT an integer? Answer Choice: (A)  1 (B)  2 (C)  3 (D)  4 (E)  7
Answer: E
4 dice are thrown simultaneously on the board. Find the probability show the same face? Answer Choice: (A) 2/113 (B) 1/215 (C) 1/216 (D) 3/113 (E) 4/113
Answer: C
Two trains 190 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 10.7 (B) 10.9 (C) 10.6 (D) 12.6 (E) 18.8
Answer: D
A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent? Answer Choice: (A) 11.11% (B) 25% (C) 22% (D) 29% (E) 45%
Answer: A
After running a series of television advertisements, a leading beverage producer saw its sales increase by 50% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day? Answer Choice: (A) $1.25 million (B) $22,000 (C) $750,000 (D) $27,000 (E) $10,000
Answer: B
In school there are some bicycles and 4 wheeler wagons.one Tuesday there are 190 wheels in the campus.How many bicycles are there? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: E
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 16 (E) 32
Answer: D
A feed shop sells two varieties of birdseed: Product A, which is 40% millet and 60% sunflower, and Product B, which is 65% millet and 35% safflower. If a customer purchases a mix of the both types of birdseed that is 50% millet, what percent of the mix is Product A? Answer Choice: (A) 50% (B) 55% (C) 60% (D) 40% (E) 45 %
Answer: C
Ramesh completes a piece of work in 4 days, Ranjith completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 6 days (B) 8 days (C) 10 days (D) 12 days (E) 3.33 days
Answer: E
If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) It cannot be determined from the information given
Answer: A
21 friends went to a hotel and decided to pay the bill amount equally. But 20 of them could pay Rs. 30 each as a result 21st has to pay Rs. 200 extra than his share. Find the amount paid by him. Answer Choice: (A) 120 (B) 250 (C) 110 (D) 220 (E) None
Answer: E
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 340 m long? Answer Choice: (A) 38 sec (B) 35 sec (C) 44 sec (D) 40 sec (E) 56
Answer: E
Bani has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar? Answer Choice: (A) 71 (B) 72 (C) 73 (D) 74 (E) 75
Answer: E
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%? Answer Choice: (A) 333 (B) 144 (C) 188 (D) 199 (E) 121
Answer: B
A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance R between the two cities? Answer Choice: (A) 48 (B) 72 (C) 96 (D) 120 (E) 192
Answer: E
If 9 is a factor of 2y, then which of the following may not be an integer? Answer Choice: (A) 6y/54 + 2y/3 (B) (4y-18)/9 (C) (2y+27)/9 (D) (81-4y^2)/81 (E) (2y-3)/3
Answer: A
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last? Answer Choice: (A) 10 (B) 12 (C) 13 (D) 18 (E) 21
Answer: D
A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are
drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid
P was contained in the container initially? Answer Choice: (A) 23 (B) 21 (C) 19 (D) 17 (E) 18
Answer: B
A certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions? Answer Choice: (A) 42 (B) 10 (C) 40 (D) 65 (E) 15
Answer: E
How many even integers n, such that 20<=n<=180 are of the form 3k+4, where k is any natural number? Answer Choice: (A) 24 (B) 27 (C) 30 (D) 33 (E) 36
Answer: B
There are 12 dozen mangoes in a box. If there are 43
such boxes, how many mangoes are there in all the
boxes together? Answer Choice: (A) 516 (B) 3096 (C) 6192 (D) 628 (E) None
Answer: C
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 34% (B) 56% (C) 57% (D) 67% (E) 78%
Answer: C
If 28a+30b+31c=395.
then a+b+c=?.a,b,c are natural numbers Answer Choice: (A) 5 (B) 8 (C) 12 (D) 13 (E) 42
Answer: D
K is a 3 digit number such that the the ratio of the number to the sum of its digits is least.What is the difference between the hundreds and tens digit? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 6 (E) 5
Answer: B
An inlet pipe can fill the tank in 30 minutes. B an outlet pipe can empty the tank in 45 minutes. In what time the tank be filled if both pipes work simultaneously? Answer Choice: (A) 90 minutes (B) 80 minutes (C) 70 minutes (D) 60 minutes (E) 50 minutes
Answer: A
The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher? Answer Choice: (A) 44 (B) 48 (C) 45 (D) 43 (E) 50
Answer: A
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share? Answer Choice: (A) Rs.530 (B) Rs.540 (C) Rs.550 (D) Rs.560 (E) Rs.570
Answer: B
Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel? Answer Choice: (A) Rs.2166.67 (B) Rs.2234 (C) Rs.2345.13 (D) Rs.2456.34 (E) Rs.2550.34
Answer: A
If two students are made to sit in a row, then 6 don't have seats. If 6 students are made to sit in a row, then three rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated? Answer Choice: (A) 0 (B) 3 (C) 4 (D) 5 (E) 9
Answer: B
Find the value of k for which there are infinite solutions for the given set of equations.
5x + 2y = k and 10x + 4y = 3 Answer Choice: (A) 3/0 (B) 3/2 (C) 3/1 (D) 3/8 (E) 3/4
Answer: B
If n is an integer greater than 8, which of the following must be divisible by 3? Answer Choice: (A) 1. n (n+1) (n-4) (B) 2. n (n+2) (n-1) (C) 3. n (n+3) (n-5) (D) 4. n (n+4) (n-2) (E) 5. n (n+5) (n-6)
Answer: C
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar? Answer Choice: (A) Rs. 1(2/9) (B) Rs. 2(2/9) (C) Rs. 2(1/9) (D) Rs. 4(2/9) (E) Rs. 3(1/9)
Answer: B
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 20 (E) 30
Answer: C
36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part? Answer Choice: (A) 19 (B) 88 (C) 267 (D) 26 (E) 28
Answer: A
In a nationwide poll, N people were interviewed. If 1/5 of them answered yes to question 1, and of those, 1/4 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions? Answer Choice: (A) N/9 (B) 8N/9 (C) 19N/20 (D) 31N/40 (E) 37N/40
Answer: C
The cost price of 60 articles is the same as the selling price of x articles. If the profit is 20%, what is x? Answer Choice: (A) 42 (B) 45 (C) 48 (D) 50 (E) 54
Answer: D
The grade point average of the entire class is 84. If the average of one fourth of the class is 96, what is the average of the rest of the class? Answer Choice: (A) 76 (B) 77 (C) 78 (D) 79 (E) 80
Answer: E
2 – [2 – {2 – 2 (2 + 2)}] = ? Answer Choice: (A) -4 (B) 4 (C) 6 (D) None of these (E) Cannot be determined
Answer: D
How many D ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl? Answer Choice: (A) 6C4 (B) 6P4 (C) 4^6 (D) 6^4 (E) 6!
Answer: C
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 75 cents, and Zachary buys a pencil and an eraser for 35 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.) Answer Choice: (A) 285 (B) 295 (C) 305 (D) 315 (E) 325
Answer: A
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 8th position from either end of the row.
Can you find out how many girls are practicing together? Answer Choice: (A) 4 (B) 9 (C) 15 (D) 16 (E) 18
Answer: C
One hundred multiples of seven are chosen at random, and 200 multiples of eight are chosen at random. Approximately what percentage of the 300 selected numbers are odd? Answer Choice: (A) 34.33% (B) 16.67% (C) 35.33% (D) 36.33% (E) 37.33%
Answer: B
A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ? Answer Choice: (A) 30 (B) 35 (C) 25 (D) 32 (E) 28
Answer: A
There are 97 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation? Answer Choice: (A) 29 (B) 49 (C) 39 (D) 59 (E) 69
Answer: C
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 20 percent during the third year. What is the value of the account today? Answer Choice: (A) $10,350 (B) $9,240 (C) $10,500 (D) $11,500 (E) $12,705
Answer: B
A portion of the 50% solution of chemicals was replaced with an equal amount of 60% solution of chemicals. As a result, 55% solution of chemicals resulted. What part of the original solution was replaced? Answer Choice: (A) 3/4 (B) 1/4 (C) 3/4 (D) 2/5 (E) 1/2
Answer: E
If Harsh sold a match ticket for Rs.340 at a profit of 25%, at what price did he purchased the ticket? Answer Choice: (A) 280 (B) 255 (C) 300 (D) 272 (E) None of these
Answer: D
The ratio of the volumes of two cubes is 125 : 216. What is the ratio of their total surface areas? Answer Choice: (A) 13:18 (B) 8:12 (C) 1:12 (D) 8:17 (E) 1:11
Answer: A
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4? Answer Choice: (A) 25x^2 + 4 = y^2 (B) 75x^2 = 3y^2 - 12 (C) 25x^2 = (y + 2)(y - 2) (D) 5x = y - 2 (E) x^2 = (y^2 - 4)/25
Answer: D
X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13970 ? Answer Choice: (A) 3200 (B) 4064 (C) 3250 (D) 3825 (E) 3985
Answer: B
If a= 3b, where b is a prime number greater than 2, how many different positive even divisors does a have, including a? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) It cannot be determined from the information given
Answer: A
Total of ages of A,B and C at present is 90 years. If ratio of this ages is 3 : 3 : 4 what will be the age of C after 5 years? Answer Choice: (A) 45 years (B) 42 years (C) 40 years (D) 41 years (E) None of the above
Answer: D
In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18
Answer: B
If f(x)=5x+6 and g(y)=2y^2+ 8y-5 then g(f(x)) Answer Choice: (A) 52x^2+36x+85 (B) 50x^2+160x+115 (C) 85x^2+85x+85 (D) 68x^2+87x+69 (E) 87x^2+85x+58
Answer: B
Simplify :(log 75/16-2 log 5/9+log 32/243) Answer Choice: (A) log 1 (B) log 2 (C) log 3 (D) log 4 (E) log 10
Answer: B
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be Answer Choice: (A) 12.5 m (B) 10m (C) 17.5m (D) 21.25m (E) 9.8m
Answer: A
Find the average of first 20 multiples of 7? Answer Choice: (A) 73.5 (B) 65.8 (C) 75.9 (D) 75 (E) 71.5
Answer: A
A part-time employee whose hourly wage was increased by 10 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced? Answer Choice: (A) 9.09 (B) 10 (C) 11 (D) 12 (E) 13
Answer: A
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 4? Answer Choice: (A) 7 (B) 8 (C) 10 (D) 11 (E) 12
Answer: C
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes? Answer Choice: (A) 27:1 (B) 1:27 (C) 1:9 (D) 9:1 (E) 1:2
Answer: B
Which of the following is a prime number Answer Choice: (A) 67 (B) 68 (C) 69 (D) 70 (E) 72
Answer: A
What will come in place of the x in the following Number series? 6, 12, 21, 33 , 48 , 66 , 87, x Answer Choice: (A) 33 (B) 35 (C) 39 (D) 111 (E) 42
Answer: D
What will be the day of the week on 15th August,2010 ? Answer Choice: (A) Sunday (B) Monday (C) Tuesday (D) Friday (E) None of these
Answer: A
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 2000m race? Answer Choice: (A) 300 (B) 250 (C) 400 (D) 450 (E) 500
Answer: B
9, 16, 21, 25, 36,49 Answer Choice: (A) 9 (B) 16 (C) 21 (D) 25 (E) 36
Answer: C
If the distance between A and B is 100m and that of B and C is 500. Then what is the distance between A and C ? Answer Choice: (A) 600m (B) more than 600m (C) Between 500m and 600m (D) 700m (E) 800m
Answer: A
In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/3 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented? Answer Choice: (A) 50 (B) 70 (C) 100 (D) 130 (E) 140
Answer: D
How many positive integers less than 5,000 are evenly divisible by neither 18 nor 21? Answer Choice: (A) 4,514 (B) 4,475 (C) 4,521 (D) 4,428 (E) 4,349
Answer: D
5 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half? Answer Choice: (A) 3/24 (B) 9/120 (C) 15/24 (D) 18/24 (E) 21/24
Answer: B
Three faces of a fair die are Yellow, three faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is Answer Choice: (A) 1/36 (B) 1/24 (C) 1/32 (D) 1/37 (E) None of these
Answer: B
Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes? Answer Choice: (A) 1:9 (B) 1:8 (C) 1:3 (D) 1:4 (E) 1:5
Answer: B
For positive integers n, the integer part of the nth term of sequence E equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, E_1 = 1.2345678…, while E_2 = 2.4681012… The sum of the first seven terms of sequence E is between: Answer Choice: (A) 28 and 29 (B) 29 and 30 (C) 30 and 31 (D) 31 and 32 (E) 32 and 33
Answer: C
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days? Answer Choice: (A) 11 days (B) 13 days (C) 20 3/17 days (D) 21 days (E) None of these
Answer: B
Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 2 weeks with no overtime, and then worked 3 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period? Answer Choice: (A) a) 3x(2y+5) (B) b) 3x+12y (C) c) 3xy(7x+2) (D) d) 3x(2y+7) (E) e) 4x(y+8)
Answer: A
In a race of length L metres, Johnson beats Lewis by Y metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (Y<N) Answer Choice: (A) L(L-N) / L-Y (B) L(N-Y) / L-Y (C) L-N (D) Y-N (E) Y+N
Answer: B
In how many different ways can the letters of the word 'DEVELOP' be arranged? Answer Choice: (A) 10 ways (B) 20 ways (C) 30 ways (D) 2520 ways (E) 40 ways
Answer: D
Frances can complete a job in 10 hours, and Joan can complete the same job in 10 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 6 p.m. to complete the job, at what time is the job finished? Answer Choice: (A) 6 p.m. (B) 7 p.m. (C) 8 p.m. (D) 10 p.m. (E) 12 p.m.
Answer: D