loafeihong/math_mmlu_format huggingface dataset:
Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 16 times smaller, from source B alone? Answer Choice: (A) 6 hours and 40 minutes (B) 15 minutes (C) 12 minutes (D) 10 minutes (E) 25 minutes
Answer: E
Eight carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if seven of the carpenters work together at their respective rates ? Answer Choice: (A) 11/15 (B) 3/5 (C) 11/30 (D) 329/480 (E) 5/9
Answer: D
One pipe can fill a pool three times faster than a second pipe. When both pipes are opened, they fill the pool in seven hours. How long would it take to fill the pool if only the faster pipe is used? Answer Choice: (A) 3.6 hr (B) 4.7 hr (C) 5.1 hr (D) 9.3 hr (E) 9.7 hr
Answer: D
Of a certain group of 100 people, 40 graduated from High School M, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School M, did not graduate from College Y, and do not live in City Z ? Answer Choice: (A)  5 (B)  15 (C)  35 (D)  65 (E)  85
Answer: C
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5650 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ? Answer Choice: (A) 2160 (B) 2350 (C) 2000 (D) 2300 (E) None of these
Answer: B
1,1,3,2,1,5,3,4,10,4,2,? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14
Answer: A
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 7200 different outfits, then for how many garments does Dave have exactly five choices? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
What is the least common multiple of 12, 18, and 24? Answer Choice: (A) 72 (B) 120 (C) 240 (D) 360 (E) 720
Answer: A
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N. Answer Choice: (A) 797 (B) 197 (C) 597 (D) 997 (E) 297
Answer: B
P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together? Answer Choice: (A) 4(3/4) (B) 7 (C) 4 (D) 5 (E) 4(1/2)
Answer: E
How many positive factors of 42 are not factors of 56? Answer Choice: (A) 1 (B) 2 (C) 3 (D) four (E) 5
Answer: D
A dog takes 5 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Answer Choice: (A) 25 : 10 (B) 25 : 8 (C) 25 : 9 (D) 8 : 25 (E) 24 : 8
Answer: B
If integer k is equal to the sum of all even multiples of 15 between 390 and 615, what is the greatest prime factor of k? Answer Choice: (A) 5 (B) 7 (C) 8 (D) 13 (E) 17
Answer: C
A certain list of 100 data has an average (arithmetic mean) of 8 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 106 data with standard deviation less than d? Answer Choice: (A) -8 and 0 (B) 0 and 0 (C) 0 and 8 (D) 0 and 16 (E) 8 and 8
Answer: E
If 6 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time? Answer Choice: (A) 3:2 (B) 2:2 (C) 3:4 (D) 1:2 (E) 6:1
Answer: B
How long does a train 150 m long traveling at 50 kmph takes to cross a bridge of 250m in length? Answer Choice: (A) 28.8 sec (B) 16.8 sec (C) 15.2 sec (D) 25.4 sec (E) 16.2 sec
Answer: A
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 7th Rd and 8th Ave in the shortest possible time, how many different routes could he take? Answer Choice: (A) 156 (B) 180 (C) 225 (D) 252 (E) 281
Answer: D
How many integers are divisible by 5 between 10! and 10! + 20 inclusive? Answer Choice: (A) 5 (B) 7 (C) 8 (D) 9 (E) 10
Answer: A
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio F of men to women? Answer Choice: (A)  5:2 (B)  5:1 (C)  4:3 (D)  4:1 (E)  3:1
Answer: A
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 35 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks? Answer Choice: (A) 1/4 (B) 21/26 (C) 2/3 (D) 7/8 (E) 8/7
Answer: B
The average of first 17 even numbers is? Answer Choice: (A) 10 (B) 11 (C) 18 (D) 20 (E) 24
Answer: C
Which of the following equivalent to (1/216)^2? Answer Choice: (A) (0.01)^3 (B) (0.02)^3 (C) (0.03)^3 (D) (0.04)^3 (E) (0.05)^3
Answer: B
On the coordinate plane , points P and U are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ? Answer Choice: (A)  (1.5,1) (B)  (2,-5) (C)  (0,0) (D)  (1,1.5) (E)  (2,2)
Answer: D
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 180 sandwiches were made, how many bologna sandwiches
were made? Answer Choice: (A) 63 (B) 30 (C) 38 (D) 42 (E) 48
Answer: A
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? Answer Choice: (A) 100 (B) 150 (C) 120 (D) 130 (E) 140
Answer: C
At 6'o clock clock ticks 6 times. The time between first and
last ticks was 30sec. How much time it takes at 10'o clock. Answer Choice: (A) 60sec (B) 62sec (C) 66sec (D) 64sec (E) 54sec
Answer: E
If one length of a square is tripled, and the original parameter is 4y. What is the new length of one of the sides? Answer Choice: (A) 12y/3 (B) 2y/2 (C) 6y/3 (D) 12y/4 (E) 4y/3
Answer: D
The number 94 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers? Answer Choice: (A) 9 (B) 14 (C) 15 (D) 18 (E) 20
Answer: B
A man spends Rs. 1800 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income? Answer Choice: (A) 2050 (B) 2150 (C) 2250 (D) 2350 (E) 2450
Answer: B
If log 27 = 1.434, then the value of log 9 is: Answer Choice: (A) 0.934 (B) 0.945 (C) 0.956 (D) 0.958 (E) 0.987
Answer: C
If a fair coin is flipped three times in a row, what is the probability that there will be at least one head and one tail? Answer Choice: (A) 3/4 (B) 11/12 (C) 15/16 (D) 31/32 (E) 63/64
Answer: A
A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ? Answer Choice: (A) 6 and 1 kmph (B) 8 and 2 kmph (C) 8 and 1 kmph (D) 9 and 1 kmph (E) 2 and 1 kmph
Answer: C
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest? Answer Choice: (A) 22 1/8 % (B) 22 9/2 % (C) 22 1/7 % (D) 22 1/2 % (E) 21 1/2 %
Answer: D
The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is Answer Choice: (A) 4m (B) 5m (C) 6m (D) 7m (E) 8m
Answer: A
The value of a machine is Rs 6,250. It decreases by 20% during the first , 40% during the second year and 30% during the third year. What will be the value of the machine after 3 years? Answer Choice: (A) Rs 2,100 (B) Rs 2,200 (C) Rs 2,152 (D) Rs 2,252 (E) none of these
Answer: A
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x Answer Choice: (A) 4 (B) 5 (C) 7 (D) 9 (E) 3
Answer: A
In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction. Answer Choice: (A) 3/7 (B) 4/7 (C) 5/7 (D) 6/7 (E) 8/7
Answer: A
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 10 = f(x – 2) ? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Can you get total of 720 by using six zeros 0,0,0,0,0,0 and any maths operators. Answer Choice: (A) 650 (B) 550 (C) 700 (D) 720 (E) 500
Answer: D
A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, and 4 at all. If repeated digits are allowed, what is the probability that it has at least one even digit? Answer Choice: (A) 145/401 (B) 845/901 (C) 1145/1401 (D) 2145/2401 (E) 3145/3401
Answer: D
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 10 miles per gallon, and from Town B to Town C, the car averaged 12 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Answer Choice: (A) 11.5 (B) 9.5 (C) 13.5 (D) 10.6 (E) 14.5
Answer: D
An average age of A, B and C is 45. If the averageage of A and B be 40 and that of B and C be 43, then the weight of B is Answer Choice: (A) 25 (B) 29 (C) 31 (D) 35 (E) 36
Answer: C
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1456? Answer Choice: (A) 1000 (B) 2217 (C) 2889 (D) 2777 (E) 1300
Answer: E
Annie has 100 cards numbered 1 through 100. If she deals seven cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers? Answer Choice: (A) 95!/100! (B) (94! X 7!)/100! (C) (95! X 5!)/100! (D) (96! X 5!)/100! (E) (97! X 4!)/100!
Answer: B
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0018)? Answer Choice: (A) 16.82 (B) 19.82 (C) 17.82 (D) 20 (E) 22
Answer: C
Find the option to replace the question mark in the series below
5 ? 15 75 525 4725 Answer Choice: (A) 2 (B) 6 (C) 7 (D) 5 (E) 8
Answer: D
If one and a half women, drink one and a half tea in one and a half minutes.
How many tea can 9 women drink in 3 minutes ? Answer Choice: (A) 11 (B) 8 (C) 37 (D) 15 (E) 18
Answer: E
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels. Answer Choice: (A) b=9,t=1 (B) b=7,t=3 (C) b=6,t=2 (D) b=2,t=5 (E) b=6,t=4
Answer: A
Which of the following are roots of an equation (x^-2)+(3x^-1)-10=0 Answer Choice: (A) 1/5 and -1/2 (B) -1/5 and 1/2 (C) 1/5 and 1/2 (D) -1/5 and -1/2 (E) -5/2 and -1/2
Answer: B
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 50, what is the greatest possible value of S minus T? Answer Choice: (A) 40 (B) 42 (C) 44 (D) 45 (E) 48
Answer: D
Rose is two years older than Bruce who is twice as old as Chris. If the total of the ages of Rose, B and Chris be 27, the how old is Bruce ? Answer Choice: (A) 8 years (B) 10 years (C) 12 years (D) 13 years (E) 14 years
Answer: B
The true discount on a bill due 9 months hence at 16% per annum is Rs. 180.The amount of the bill is Answer Choice: (A) Rs. 1386 (B) Rs. 1764 (C) Rs. 1500 (D) Rs. 2268 (E) None of these
Answer: C
A store raised the price of an item by exactly 25 percent. Which of the following could NOT be the resulting price of the item? Answer Choice: (A) 130 (B) 250 (C) 375 (D) 500 (E) 62.5
Answer: A
How many shots of 1cm radius can be prepared from a sphere of 7cm radius? Answer Choice: (A) 343 (B) 388 (C) 327 (D) 88 (E) 99
Answer: A
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X? Answer Choice: (A) 10% (B) 33 1/3% (C) 40% (D) 50% (E) 66 2/3%
Answer: B
In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 19,947. Approximately what was the percent increase? Answer Choice: (A) 45% (B) 125% (C) 145% (D) 150% (E) 225%
Answer: B
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Answer Choice: (A) 700 (B) 800 (C) 900 (D) 600 (E) 500
Answer: B
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: Answer Choice: (A) 0.02 (B) 0.2 (C) 0.04 (D) 0.4 (E) None
Answer: C
In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be? Answer Choice: (A) 600 cu.m (B) 12000 cu.m (C) 6000 cu.m (D) 60000 cu.m (E) 4000 cu.m
Answer: D
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178? Answer Choice: (A) 2887 (B) 2665 (C) 2200 (D) 2665 (E) 2771
Answer: C
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 20 hrs and a machine of type S does the same job in 60 hours. If the company used the same number of each type of machine to do the job in 3 hours, how many machines of type R were used? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: C
The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be Answer Choice: (A) 3:6 (B) 6:3 (C) 8:7 (D) 9:5 (E) None of these
Answer: C
The sum of the present ages of A, B, C is 33 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 11 (E) 13
Answer: B
A shop owner has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 years. How much sale must she have in the 6th year so that she gets an average sale of Rs. 6500? Answer Choice: (A) 5000 (B) 5500 (C) 4991 (D) 5600 (E) 5700
Answer: C
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 Choice: (A) 20 years (B) 30 years (C) 60 years (D) 36 years (E) 35 years
Answer: D
At the end of the month, a certain ocean desalination plant’s reservoir contained 30 million gallons of water. This amount is twice the normal level. If this amount represents 75% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30
Answer: C
An elementary school houses primarily kindergartners, first graders, second graders, and third graders. If an assembly included 30 kindergartners, 20 first graders, and 80 other children, and the ratio of first graders to third graders is tripled, what is the ratio of the first graders to the rest of the children? Answer Choice: (A) 40: 20 (B) 42: 21 (C) 50: 100 (D) 15: 25 (E) It cannot be determined by the information given.
Answer: E
The number 42 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answer Choice: (A) 17 (B) 10 (C) 15 (D) 14 (E) 13
Answer: B
In one hour, a boat goes 15 km/hr along the stream and 9 km/hr against the stream. The speed of the boat in still water (in km/hr) is: Answer Choice: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) 16 kmph
Answer: A
Nitrous oxide (laughing gas) worth Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 153 per kg, then the price of the third variety per kg will be Answer Choice: (A) Rs 169.50 (B) Rs 170 (C) Rs 175.50 (D) Rs 180 (E) Rs 190
Answer: C
Walking at 25% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? Answer Choice: (A) 8 (B) 16 (C) 42 (D) 48 (E) 54
Answer: A
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007 Answer Choice: (A) 346656 (B) 466577 (C) 854343 (D) 354567 (E) 1083875
Answer: E
What is the least integer greater than –4+0.5? Answer Choice: (A) –3 (B) –1 (C) 0 (D) 1 (E) 2
Answer: A
A train passes a station platform in 28 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 270 (B) 277 (C) 240 (D) 88 (E) 112
Answer: A
If x and y are negative integers, which of the following statements must be true?
I. (-x)^y is positive.
II. (-x)^(-y) is positive.
III. x^(-y) is positive. Answer Choice: (A) None (B) II only (C) I and II (D) I and III (E) I, II and III
Answer: C
The average of first 10 odd numbers is? Answer Choice: (A) 11 (B) 10 (C) 18 (D) 12 (E) 19
Answer: B
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest? Answer Choice: (A) 27 (B) 29 (C) 26 (D) 40 (E) 12
Answer: D
David completes a piece of work in 5 days, John completes the same work in 9 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 3.2 days (B) 8 days (C) 10 days (D) 12 days (E) 14 days
Answer: A
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Answer Choice: (A) 4:5 (B) 9:1 (C) 2:5 (D) 3:4 (E) 6:7
Answer: B
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 49 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? Answer Choice: (A) 105 (B) 120 (C) 140 (D) 147 (E) 168
Answer: A
The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m Answer Choice: (A) 73889 (B) 27788 (C) 73879 (D) 73800 (E) 2799
Answer: D
If n is an odd integer, which of the following must also be an odd integer? Answer Choice: (A) 2n (B) 2n^2 (C) n^2 + 2n (D) n^2 + 3n (E) n^2 + 2n + 3
Answer: C
An oratorical society consists of six members, and at an upcoming meeting, the members will present a total of four speeches. If no member presents more than two of the four speeches, in how many different orders could the members give speeches? Answer Choice: (A) 720 (B) 1080 (C) 1170 (D) 1470 (E) 1560
Answer: A
Andrew investe 12 percent of his March earnings. In April he earned 20 percent more than he did in March, and he invested 9 percent of his April earnings. The amount he invested in April was what percent of the amount he invested in March? Answer Choice: (A) 80% (B) 90% (C) 100% (D) 110% (E) 120%
Answer: B
Kelly has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 8%, the second pay cut was 14% and the third was 18%. What will be the percentage decrease, if the salary is decreased in a single shot? Answer Choice: (A) 35.9% (B) 34.12% (C) 32.12% (D) 35.12% (E) 31.12%
Answer: D
An amount of money is to be distributed among P, Q and R in the ratio of 5 : 8 : 12 respectively. If the total share of Q and R is four times that of P, what is definitely P’s share? Answer Choice: (A) 3,000 (B) 5,000 (C) 8,000 (D) Data inadequate (E) None of these
Answer: D
Find the 12th term of an arithmetic progression whose first term is 2 and the common difference is 8. Answer Choice: (A) 45 (B) 38 (C) 44 (D) 90 (E) 96
Answer: D
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 2 cm when a man gets on it. The mass of man is Answer Choice: (A) 12 kg (B) 60 kg (C) 72 kg (D) 120 kg (E) None
Answer: D
The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction? Answer Choice: (A) A)24.5 (B) B)28.5 (C) C)30 (D) inadequate (E) of these
Answer: C
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants? Answer Choice: (A) 140 (B) 141 (C) 142 (D) 143 (E) 144
Answer: B
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Answer Choice: (A) 7.5 (B) 7.4 (C) 7.9 (D) 7.2 (E) 7.1
Answer: D
If z is a multiple of 9702, what is the remainder when z^2 is divided by 4? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) It depends on z.
Answer: A
Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January? Answer Choice: (A) 391 (B) 400 (C) 410 (D) 423 (E) 445
Answer: B
One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 6 robots altogether, if the robots build only one robot at a time? Answer Choice: (A) 70 min (B) 94 min (C) 109 min (D) 114 min (E) 120 min
Answer: D
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? Answer Choice: (A) 5/21 (B) 5/28 (C) 5/22 (D) 5/25 (E) 5/27
Answer: A
An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 10000 people who applied for the army and 350 were finally selected, what was the value of N? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 9 (E) 8
Answer: D
A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked. Answer Choice: (A) 21/46 (B) 21/49 (C) 21/42 (D) 26/46 (E) 21/43
Answer: A
In a division, when a student mistook the divisor as 12 instead of 21 and obtained 35 as quotient the remainder is 0 . What is the correct quotient? Answer Choice: (A) 14 (B) 18 (C) 20 (D) 24 (E) 29
Answer: C
What are the next two numbers in this sequence?
7, 14, 17, 21, 27, 28, 35, 37, ? Answer Choice: (A) 40 (B) 41 (C) 42 (D) 43 (E) 44
Answer: C
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: D
Which of the following is a possible length for side AB of triangle ABC if AC = 3 and BC = 9?
I. 6
II. 9 √3
III. 11.5 Answer Choice: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III
Answer: C