loafeihong/math_mmlu_format huggingface dataset:
A train 120 m long is running with a speed of 66 km/hr. In what time will it pass a man who is roller skating at 12 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 4.92 (B) 6.92 (C) 7.92 (D) 4.92 (E) 2.92
Answer: B
A train 300 m long can cross an electric pole in 10 sec and then find the speed of the train? Answer Choice: (A) 88 Kmph (B) 89 Kmph (C) 72 Kmph (D) 16 Kmph (E) 108 Kmph
Answer: E
In a class of 20 students in an examination in Mathematics 2 students scored 100 Marks each, 3 get
zero each and the average of the rest was 40. What is the average Of the whole class? Answer Choice: (A) 46 (B) 49 (C) 40 (D) 38 (E) 35
Answer: C
In how many ways can A, B, C, D and E be seated in a row such that A and B are not seated next to each other? Answer Choice: (A) 24 (B) 72 (C) 56 (D) 76 (E) 96
Answer: B
A bowl was filled with 10 ounces of water, and 0.006 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period? Answer Choice: (A) 0.004% (B) 0.04% (C) 0.40% (D) 3% (E) 40%
Answer: D
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. In how much time will the trains cross each other? Answer Choice: (A) 80/6 (B) 80/7 (C) 80/9 (D) 80/2 (E) 80/1
Answer: C
If x > 3000, then the value of (1.2x)/(0.5x-406) is closest to? Answer Choice: (A) 1/6 (B) 1/3 (C) 10/21 (D) 1/2 (E) 3/1
Answer: E
A, B and C can do a piece of work in 9 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 4.12 days (B) 4.52 days (C) 3.52 days (D) 2.52 days (E) 4.92 days
Answer: B
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 40% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of Answer Choice: (A) 18% (B) 20% (C) 21% (D) 40% (E) Cannot be determined
Answer: D
The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 55
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes? Answer Choice: (A) 51 (B) 88 (C) 93 (D) 125 (E) 162
Answer: C
Set A contains three different positive odd integers and six different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even? Answer Choice: (A) 3/5 (B) 7/10 (C) 13/15 (D) 23/30 (E) 37/45
Answer: C
Last year a certain bond yielded 15 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value? Answer Choice: (A) $2,000 (B) $6,750 (C) $7,425 (D) $7,500 (E) $9,375
Answer: A
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers? Answer Choice: (A) 180 (B) 88 (C) 278 (D) 268 (E) 267
Answer: A
When a is divided by b, the quotient is c with remainder 3. What is a in terms of 3, b, and c? Answer Choice: (A) b+c+3 (B) b+c (C) bc (D) bc+3 (E) bc-3
Answer: D
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) 299 (B) 240 (C) 288 (D) 161 (E) 921
Answer: B
The Computer Store has reduced the price of a computer by 15%.
What is the original price of the computer if the sale price is $1275? Answer Choice: (A) 1600 (B) 2500 (C) 1500 (D) 1200 (E) 2100
Answer: C
A certain sum is invested at simple interest at 14% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum? Answer Choice: (A) s. 7000 (B) s. 9000 (C) s. 14000 (D) s. 17000 (E) s. 42000
Answer: E
The length of the train which is moving at 66 km/hr, can crosses a bridge of length 345 m in 60 sec, is ? Answer Choice: (A) 575 m. (B) 645 m. (C) 555 m. (D) 655 m. (E) 755 m.
Answer: E
A boy has 4 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 299 (B) 60 (C) 67 (D) 89 (E) 271
Answer: B
Two trains 140 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) 10.6 (B) 10.5 (C) 10.1 (D) 10.8 (E) 10.2
Answer: D
How many positive integers less than 5,000 are evenly divisible by neither 13 nor 21? Answer Choice: (A) 4,514 (B) 4,475 (C) 4,521 (D) 4,428 (E) 4,349
Answer: E
The ratio of incomes of C and D is 3 : 4 and their expenditures is 4 : 5. If the savings of C is one fourth of his income then what is the ratio of savings of C and D? Answer Choice: (A) 11/19 (B) 12/19 (C) 13/19 (D) 14/19 (E) 15/19
Answer: B
A train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train. Answer Choice: (A) 45 kmph (B) 50 kmph (C) 55 kmph (D) 60 kmph (E) 79 kmph
Answer: E
A car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip? Answer Choice: (A) 9 (B) 8 (C) 7 (D) 6 (E) 5
Answer: A
A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job? Answer Choice: (A) 15/2 (B) 14/2 (C) 15/4 (D) 14/4 (E) 13/4
Answer: A
If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)? Answer Choice: (A) 9. (B) 12. (C) 15. (D) 16 (E) 18.
Answer: C
A chemical supply company has 60 liters of a 40% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? Answer Choice: (A) 12 (B) 15 (C) 20 (D) 24 (E) 30
Answer: A
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 22 per kg, then his gain percent is Answer Choice: (A) 12% (B) 13% (C) 14% (D) 15% (E) 17%
Answer: E
A,B,C can complete a piece of work in 24,6,12 days. Working together, they complete the same work in how many days? Answer Choice: (A) 2 (B) 4/5 (C) 7/9 (D) 10 (E) 24/7
Answer: E
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $60,000? Answer Choice: (A) $38,796. (B) $40,000. (C) $38,976. (D) $58,464. (E) $36,796.
Answer: D
A positive integer which when added to 100, gives a sum which is greater than when it is multiplied by 100. What is the number? Answer Choice: (A) 6 (B) 5 (C) 4 (D) 1 (E) 8
Answer: D
If the number is divided by 3, it reduced by 36. The number is Answer Choice: (A) A)51 (B) B)50 (C) C)45 (D) D)54 (E) E)36
Answer: D
When n is divided by 32, the remainder is 5. What is the remainder when 4n is divided by 8? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 920, what is the maximum possible sum of the length of x and the length of y? Answer Choice: (A) 14 (B) 12 (C) 10 (D) 16 (E) 18
Answer: D
A waiter's salary consists of his salary and tips. During one week his tips were 7/4 of his salary. What fraction of his income came from tips ? Answer Choice: (A) 4/9 (B) 5/4 (C) 5/8 (D) 5/9 (E) 7/11
Answer: E
Complete the series
13, 9, 5, 1, -3,-7 ... Answer Choice: (A) -11 (B) 0 (C) 3 (D) -2 (E) 3
Answer: A
Mark is playing poker at a casino. Mark starts playing with 150 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet? Answer Choice: (A) $1,960 (B) $1,740 (C) $1,540 (D) $3,080 (E) $2,100
Answer: E
Given 2x + y + z = 3 and 5x + 3y + z = 14, what is the value of x + y - z? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: D
Departments A has 20 employees, B, and C have 20 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible? Answer Choice: (A) 19,000 (B) 40,000 (C) 100,000 (D) 190,000 (E) 380,000
Answer: E
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 400 per sq. metre. Answer Choice: (A) Rs. 15000 (B) Rs. 8250 (C) Rs. 15600 (D) Rs. 16500 (E) None of these
Answer: B
City X has a population 3 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? Answer Choice: (A) 1:8 (B) 1:4 (C) 2:1 (D) 6:1 (E) 8:1
Answer: D
Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for z dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month? Answer Choice: (A) x/(y - z) (B) x/(z - y) (C) x (D) x/z (E) x/y
Answer: B
Henry answered 4/5 of the questions he was given for homework in the first hour, 5/19 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework? Answer Choice: (A) x (B) (95/7)*x (C) (95/14)*x (D) (95/21)*x (E) (95/28)*x
Answer: C
Jagan went to the book shop and bought things worth Rs. 30, out of which 25 paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items? Answer Choice: (A) Rs 22.75 (B) Rs 25 (C) Rs 24.75 (D) Rs 26 (E) None of these
Answer: C
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 Choice: (A) 2205 (B) 2201 (C) 2229 (D) 2289 (E) 2202
Answer: A
An inlet pipe fill a tank in 5 hrs and outlet pipe empty same tank in 36 hrs working indiviually.how many additional number of outlet pipes of same capacity required to be opened so that tank never over flows Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: B
In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/6 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) 105 (E) 10
Answer: E
Sony and Johnny caught 80 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch? Answer Choice: (A) 12 (B) 16 (C) 34 (D) 38 (E) 42
Answer: B
A train passes a station platform in 48 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) 420 m (B) 200 m (C) 240 m (D) 320 m (E) None
Answer: A
If 9 pumps can raise 1085 tonnes of water in 10 days, working 7 hours a day; in how many days will 8 pumps raise 868 tonnes of water, working 9 hours a day? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: B
Starting from 1 if you are asked to write first 172 digits of the natural numbers , which digit you stop at? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 9 (E) 10
Answer: D
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 11 Answer Choice: (A) 1 (B) 3 (C) 4 (D) 5 (E) 6
Answer: E
At the end of year X, automobile installment credit accounted for 20% of all outstanding consumer installment credit. At that time automobile finance companies extended $57 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time? Answer Choice: (A) 171 (B) 855 (C) 870 (D) 788 (E) 684
Answer: B
A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? Answer Choice: (A) 27 (B) 27 (C) 20 (D) 25 (E) 2
Answer: D
A positive number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ? Answer Choice: (A)  7/3 (B)  3/2 (C)  4/3 (D)  2/3 (E)  1/2
Answer: A
One fast typist type some matter in 3 hrs and another slow typist type the same matter in 5hrs. If both do combine in how much time they will take to finish. Answer Choice: (A) 1 hr 5 mins (B) 1 hr 10 mins (C) 1 hr 12 mins (D) 3 hr 10 mins (E) 4 hr 5 mins
Answer: C
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? Answer Choice: (A) 3 hrs 45 min (B) 3 hrs 15 min (C) 4 hrs (D) 4 hrs 15 min (E) 5 hrs 15 min
Answer: A
Having received his weekly allowance, John 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 $0.40 at the candy store. What is John’s weekly allowance? Answer Choice: (A) $1.50 (B) $2.00 (C) $2.50 (D) $3.00 (E) $3.50
Answer: A
10x + 2y = -4
4x + y = 1
In the system of equations above, what is the value of x? Answer Choice: (A) -5 (B) -3 (C) -1 (D) 1 (E) 3
Answer: B
If p and r are positive integers such that p > r > 1, what is the remainder when 92p × 5p+r + 11r × 6pr is divided by 10? Answer Choice: (A) A.0 (B) B.1 (C) C.3 (D) D.4 (E) E.5
Answer: B
There are 750 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Answer Choice: (A) 75 (B) 100 (C) 125 (D) 175 (E) 225
Answer: C
If a - b = 3 and a2 + b2 = 29, find the value of ab. Answer Choice: (A) 10 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
The average weight of three boys M, N and P is 54 1/3 kg, while the Average weight of three boys N, Q and R is 53 kg. What is the average weight of M, N, P, Q and R? Answer Choice: (A) 52.4 kg (B) 53.2 kg (C) 53.8 kg (D) Data Inadequate (E) None of these
Answer: D
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:40 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet? Answer Choice: (A) 5:00 (B) 5:30 (C) 6:40 (D) 6:30 (E) 7:00
Answer: C
If a2 - b2 = 8 and a*b = 2, find a4 + b4. Answer Choice: (A) 62 (B) 72 (C) 82 (D) 92 (E) 62
Answer: B
3 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH Answer Choice: (A) 1/5 (B) 2/9 (C) 1/45 (D) 2/45 (E) NONE OF THESE
Answer: A
A train 200 m long can cross an electric pole in 5 sec and then find the speed of the train? Answer Choice: (A) 114 (B) 124 (C) 134 (D) 144 (E) 154
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Answer Choice: (A) 170 m (B) 177 m (C) 278 m (D) 150 m (E) 271 m
Answer: D
In 1 hour, a boat goes 10 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is : Answer Choice: (A) 3 km/hr. (B) 2 km/hr. (C) 11 km/hr. (D) 8 km/hr. (E) 5 km/hr.
Answer: C
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king? Answer Choice: (A) 1/3 (B) 2/11 (C) 4/13 (D) 5/13 (E) 5/14
Answer: C
If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 8, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three? Answer Choice: (A) 1/3 (B) 1/4 (C) 1/5 (D) 1/6 (E) 1/7
Answer: A
Miguel is 46 years old. He is 6 years older than twice his son’s age. Find the age of his son. Answer Choice: (A) 11years (B) 12years (C) 13years (D) 14years (E) 20years
Answer: E
if integer N has p factors ; how many factors will 5N have ? Answer Choice: (A) p (B) 2p (C) P+1 (D) 2p+1 (E) Cannot be determined
Answer: E
There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H? Answer Choice: (A) 39 (B) 40 (C) 51 (D) 58 (E) 63
Answer: D
If a and b are positive integers and (2^a)^b = 2^5, what is the value of 2^a*2^b? Answer Choice: (A) 8 (B) 64 (C) 16 (D) 32 (E) 4
Answer: B
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was? Answer Choice: (A) 120000 (B) 298991 (C) 299992 (D) 188611 (E) 122111
Answer: A
What percent is 6 gm of 1 kg? Answer Choice: (A) 1.5 % (B) 0.5 % (C) 0.6 % (D) 3.5 % (E) 4 %
Answer: C
A man 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 Choice: (A) 45 (B) 60 (C) 75 (D) 90 (E) 95
Answer: D
What is the average of first 21 multiples of 5 ? Answer Choice: (A) A)70 (B) B)77 (C) C)55 (D) D)81 (E) E)82
Answer: C
Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 6 hours. How long would it take Taimour to paint the fence alone? Answer Choice: (A) 6 hours (B) 8 hours (C) 18 hours (D) 24 hours (E) 32 hours
Answer: C
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to? Answer Choice: (A) 12 km/hr (B) 3 km/hr (C) 17km/hr (D) 16km/hr (E) 19km/hr
Answer: B
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter? Answer Choice: (A) 2,145 (B) 6,435 (C) 12,100 (D) 2420 (E) 25,740
Answer: D
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Answer Choice: (A) 270 (B) 988 (C) 773 (D) 562 (E) 277
Answer: A
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are? Answer Choice: (A) 750 (B) 387 (C) 237 (D) 198 (E) 121
Answer: A
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers? Answer Choice: (A) -33 (B) 34 (C) -45 (D) -56 (E) 45
Answer: A
A child must place 5 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins? Answer Choice: (A) 6^6 (B) 6^4 (C) 4^5 (D) 4^4 (E) 6^4-4^6
Answer: C
0.1+(0.1)^2+(0.1)^3= Answer Choice: (A) 0.1 (B) 0.111 (C) 0.1211 (D) 0.2341 (E) 0.3
Answer: B
3 boys and 7 girls can complete John work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work? Answer Choice: (A) 30 days (B) 35 days (C) 40 days (D) 50 days (E) 60 days
Answer: C
If u, v, and w are consecutive integers such that u > v > w and the sum of u, v, and w is a multiple of 10, which of the following could be the value of u? Answer Choice: (A) 0 (B) 1 (C) 9 (D) 10 (E) 12
Answer: B
If x^2 + y^2 = 50, then the greatest possible value of y is between Answer Choice: (A) 2 and 3 (B) 4 and 5 (C) 5 and 6 (D) 7 and 8 (E) 9 and 10
Answer: D
Oak trees line both sides of a street for a length of 5/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street? Answer Choice: (A) a)	22 (B) b)	23 (C) c)	38 (D) d)	44 (E) e)	46
Answer: C
One-sixth of the students at a nursery school are 5 years old or older. If 15 students have not yet reached their fourth birthday, and a total of 30 students are not between 4 years old and 5 years old, how many children are in the nursery school? Answer Choice: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70
Answer: C
The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 230 (B) 240 (C) 245 (D) 250 (E) 275
Answer: E
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? Answer Choice: (A) 38 men (B) 32 men (C) 34 men (D) 30 men (E) None of these
Answer: D
Some of 15%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced? Answer Choice: (A) 1/5 (B) 1/3 (C) 1/2 (D) 3/2 (E) 3/5
Answer: D
15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 2 hrs. each would it take for 21 women if 3 women do as much work as 2 men? Answer Choice: (A) 30 (B) 20 (C) 40 (D) 60 (E) 90
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 75 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 48 (B) 30 (C) 26 (D) 23 (E) 12
Answer: B
On a certain number line, conditions are x<y<z<u<v and xyzuv>0. Which of the following must be true?
I xy>0 II zu>0 III zu>0 Answer Choice: (A) I only (B) I & II only (C) III only (D) II only (E) II and III only
Answer: B
5^5 is equal to which of the following? Answer Choice: (A) 3,125 (B) 8,752 (C) 9,660 (D) 5,662 (E) 5,608
Answer: A
Running at constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Answer Choice: (A) 648 (B) 1800 (C) 2700 (D) 10800 (E) 10900
Answer: B
A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number G of imported lamps stocked at the store? Answer Choice: (A) 3 (B) 10 (C) 13 (D) 20 (E) 23
Answer: E
If the positive integer y is divisible by 2, 4, and 8, then which of the following must y be divisible by?
I. 8
II. 31
III. 45 Answer Choice: (A) III only (B) I only (C) I and II only (D) II and III only (E) I, II, and III
Answer: B
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? Answer Choice: (A) 9 : 25 (B) 6:25 (C) 3:5 (D) 11:25 (E) 16:25
Answer: A