loafeihong/math_mmlu_format huggingface dataset:
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train? Answer Choice: (A) 48 kmph (B) 52 kmph (C) 108 kmph (D) 100 kmph (E) 98 kmph
Answer: C
For some integer y, y^2 - 5 is divisible by all of the following EXCEPT Answer Choice: (A) 29 (B) 30 (C) 31 (D) 38 (E) 41
Answer: B
A searchlight on top of the watchtower makes 2 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds? Answer Choice: (A) 5/6 (B) 5/12 (C) 7/12 (D) 11/12 (E) 11/15
Answer: A
If t and y are different prime numbers less than ten, what must be true about the sum of t and y? Answer Choice: (A) the sum is even (B) the sum is odd (C) the sum is less than ten (D) the sum is greater than ten (E) the sum is less than 13
Answer: E
The height of the wall is 4 times its width and length of the wall is 3 times its height .if the volume of the wall be 10368 cu.m.its width is Answer Choice: (A) 4m (B) 5m (C) 6m (D) 7m (E) 8m
Answer: C
A military garrison in a wild frontier has 500 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last? Answer Choice: (A) 13 1/3 (B) 12 1/3 (C) 11 3/3 (D) 12 1/2 (E) 12 3/4
Answer: D
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) 1000 (B) 3783 (C) 1837 (D) 3799 (E) 3786
Answer: A
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl? Answer Choice: (A) 1/2 (B) 1by3 (C) 3/5 (D) 3/7 (E) 3/11
Answer: B
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? Answer Choice: (A) 120 (B) 720 (C) 1,060 (D) 1,520 (E) 1980 committees
Answer: E
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is Answer Choice: (A) 4:1 (B) 4:2 (C) 3:5 (D) 5:3 (E) 4:6
Answer: D
What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 6? Answer Choice: (A) 0.12 (B) 1 (C) π/2 (D) 2 (E) 12
Answer: E
A sum was put at simple interest at a certain rate for 6 years Had it been put at 4% higher rate, it would have fetched 144 more. Find the sum. Answer Choice: (A) 500 (B) 600 (C) 700 (D) 800 (E) 900
Answer: B
A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ? Answer Choice: (A) 25 km/hr (B) 35 km/hr (C) 42 km/hr (D) 46 km/hr (E) 55 km/hr
Answer: B
Avg cost of 5 pens and 4 pencils isRs. 36.The avg cost of 5 pens and 9 pencils is Rs.56.Find the total cost of 25 pens and 25 pencils? Answer Choice: (A) 80 (B) 90 (C) 100 (D) 110 (E) 120
Answer: C
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9
Answer: A
Three coins are tossed. Find the probability of at least 1 head and 1 tail ? Answer Choice: (A) 1/2 (B) 1/4 (C) 3/4 (D) 7/8 (E) 1/8
Answer: C
Calculate the value of 5.11 x 10^8 ? Answer Choice: (A) 511000000 (B) 5110000 (C) 511000 (D) 51100000 (E) 51100
Answer: A
The ratio of two quantities is 5 to 6. If each of the quantities is increased by 15, what is the ratio of these 2 new quantities? Answer Choice: (A) 5:6 (B) 25:27 (C) 15:16 (D) 20:21 (E) It cannot be determined from the information given
Answer: E
In how many ways a committee, Consisting of 3 men and 5 women can be formed from 8 men and 10 women? Answer Choice: (A) 266 (B) 86400 (C) 11760 (D) 14112 (E) 14720
Answer: D
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron
weighs 8g/ cm^3 , then the weight of the pipe is Answer Choice: (A) 4.996 kg (B) 5.696 kg (C) 3.796 kg (D) 3.696 kg (E) 3.996 kg
Answer: D
Mario and Nina each have a bag of marbles, each of which contains 10 blue marbles, 10 red marbles, an 10 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble? Answer Choice: (A) 3/4 (B) 2/9 (C) 1/4 (D) 1/8 (E) 1/16
Answer: B
John tossed a fair coin 5 times. What is the probability that the coin landed heads up exactly twice? Answer Choice: (A) 0.156 (B) 0.256 (C) 0.35 (D) 0.456 (E) 0.555
Answer: A
The bankers discount and the true discount of a sum at 20% per annum simple interest for the same time are Rs.200 and Rs.150 respectively. What is the sum and the time? Answer Choice: (A) Sum = Rs.600 and Time = 1.6 years (B) Sum = Rs.500 and Time = 1.6 years (C) Sum = Rs.400 and Time = 1.6 years (D) Sum = Rs.600 and Time = 3 years (E) None of these
Answer: A
P and Q had the same number of candies. P gave Q 16 candies so that now Q has five times as many candies as P has. How many candies does Q have now? Answer Choice: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45
Answer: D
The average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ? Answer Choice: (A) 75 kg (B) 65 kg (C) 55 kg (D) 85 kg (E) 93 kg
Answer: E
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and DE=13 cm, then find the length of BC. Answer Choice: (A) 5 (B) 13 (C) 14 (D) 11 (E) 15
Answer: A
0.99999999/1.0001−0.99999991/1.0003 Answer Choice: (A) 10^(-8 (B) 3*10^(-8) (C) 3*10^(-4) (D) 2*10^(-4) (E) 10^(-4)
Answer: D
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth? Answer Choice: (A) Rs. 600 (B) Rs. 500 (C) Rs. 400 (D) Rs. 300 (E) None of these
Answer: A
In a 120 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners? Answer Choice: (A) 49 (B) 47 (C) 25 (D) 43 (E) 41
Answer: C
Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank? Answer Choice: (A) 33 (B) 540 (C) 287 (D) 278 (E) 191
Answer: B
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 2, 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet? Answer Choice: (A) 1/16 (B) 5/16 (C) 3/8 (D) 1/2 (E) 1/4
Answer: A
Oranges are bought at 7 for Rs.6. At what rate per hundred must they be sold to gain 33%? Answer Choice: (A) 57 (B) 68 (C) 95 (D) 114 (E) 125
Answer: D
If a certain sample of data has a mean of 20.0 and a standard deviation of 2.5, which of the following values is more than 2.5 standard deviations from the mean? Answer Choice: (A)  22.0 (B)  13.5 (C)  17.0 (D)  23.5 (E)  12.0
Answer: E
The traffic lights at 3 different roads change after every 12 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously. Answer Choice: (A) 9:18:36 (B) 9:42:15 (C) 10:15:24 (D) 9:54:12 (E) 10:01:20
Answer: A
If the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c? Answer Choice: (A) 4/15 (B) 11/15 (C) 2/5 (D) 4/5 (E) 7/6
Answer: B
The face value of a share is Rs 100. It is sold at a discount of Rs 5. How many such shares can be bought by investing Rs 38,000? Answer Choice: (A) 360 (B) 380 (C) 420 (D) 400 (E) 480
Answer: D
If a traveller was offered 5 destinations in asia and 11 destinations in europe and asked to chose utmost 3 destinations in asia and overall a 11 destinations. How many ways can he travel Answer Choice: (A) 2256 ways (B) 2356 ways (C) 2456 ways (D) 2556 ways (E) 2156 ways
Answer: A
Each term of a certain sequence is 4 less than the previous term. The first term of this sequence is 19. If the sum of the first n terms of the sequence is n, what is the value of positive integer n? Answer Choice: (A) 1 (B) 13 (C) 15 (D) 19 (E) 47
Answer: C
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many Q different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 12 (E) 18
Answer: D
John and Peter are among the eight players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter? Answer Choice: (A) 2/5 (B) 2/7 (C) 2/9 (D) 5/14 (E) 8/21
Answer: D
Randy can rebuild an automobile engine in b hours. Alvin can rebuild the same engine in a hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will not have to complete? Answer Choice: (A) ab/(a+b) (B) (a-b)/(a+b) (C) b/(b+a) (D) a/(a+b) (E) b/(a-b)
Answer: C
A train ride from Two P to Town Q costs $6.35 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q? Answer Choice: (A) $1.75 (B) $2.50 (C) $4.10 (D) $4.70 (E) $8.20
Answer: A
There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total? Answer Choice: (A) 300 (B) 301 (C) 302 (D) 303 (E) None
Answer: B
How many seconds will a 500 m long train take to cros a man walking with a speed of 3 kmph in the direction of the moving train if the speed of the train is 63 kmph Answer Choice: (A) 25 (B) 30 (C) 40 (D) 45 (E) 50
Answer: B
If there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period? Answer Choice: (A) 2388 (B) 3600 (C) 2791 (D) 1817 (E) 1911
Answer: B
If 5√5 x 5^3 + 5^-3/2 = 5 ^(a + 2), then the value of a is: Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
The diagonals of a rhombus are 10 cm and 12 cm. Find its area? Answer Choice: (A) 158 (B) 60 (C) 150 (D) 123 (E) 117
Answer: B
A and B start a business with investments of Rs.5000 and Rs.4500 respectively.After 4 months,A takes out half of his capital.After two more months,B takes out one-third of his capital while C joins them with a capital of Rs.7000.At the end of a year,they earn a profit of Rs.5080.Find the share of each member in the profit. Answer Choice: (A) A - Rs.1400,B - Rs.1900,C - Rs.1780 (B) A - Rs.1600,B - Rs.1800,C - Rs.1680 (C) A - Rs.1800,B - Rs.1500,C - Rs.1780 (D) A - Rs.1680,B - Rs.1600,C - Rs.1800 (E) None of these
Answer: B
What is the least number should be added to 1100, so the sum of the number is completely divisible by 23? Answer Choice: (A) 1 (B) 2 (C) 5 (D) 4 (E) 8
Answer: D
A train 125 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) 22 (B) 50 (C) 99 (D) 288 (E) 12
Answer: B
If d<0, which of the following represents a positive number? Answer Choice: (A) d|d| (B) |d|d (C) |d|/d (D) -d|d| (E) d/ |d|
Answer: D
A circular mat with diameter 18 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 5/12 (B) 3/5 (C) 1/2 (D) 3/8 (E) 5/6
Answer: D
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 7/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails? Answer Choice: (A) 9/80 (B) 3/10 (C) 387/800 (D) 35/80 (E) 497/800
Answer: C
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 24 days, then C alone can do it in? Answer Choice: (A) 1 (B) 7 (C) 8 (D) 9 (E) 6
Answer: C
If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price? Answer Choice: (A) 16 2/3% (B) 16 2/6% (C) 16 8/3% (D) 17 2/3% (E) 16 2/1%
Answer: A
Both Robert and Alice leave from the same location at 6:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 40 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car? Answer Choice: (A) 2 p.m. (B) 3 p.m. (C) 4 p.m. (D) 8 p.m. (E) 9 p.m.
Answer: A
a merchant sold an article at a loss of 12%,. if the selling price had been increased by $50 the merchant would have made a profit of 8%. what is the cost price of the article? Answer Choice: (A) $550 (B) $500 (C) $510 (D) $565 (E) $520
Answer: B
Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year 12 members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 0 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year? Answer Choice: (A) 52 (B) 67 (C) 71 (D) 66 (E) 79
Answer: D
A glass was filled with 25 ounces of water, and 0.04 ounce of the water evaporated each day during a 10-day period. What percent of the original amount of water evaporated during this period? Answer Choice: (A) 0.004% (B) 0.04% (C) 0.4% (D) 1.6% (E) 20%
Answer: D
How long does a train 110 m long running at the speed of 36 km/hr takes to cross a bridge 132 m length? Answer Choice: (A) 12.9 sec (B) 12.1 sec (C) 24.2 sec (D) 16.8 sec (E) 14.9 sec
Answer: C
The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr? Answer Choice: (A) 31.65 (B) 31.68 (C) 31.62 (D) 31.61 (E) 31.67
Answer: B
On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor. Answer Choice: (A) 179 (B) 189 (C) 199 (D) 169 (E) None of them
Answer: A
A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now? Answer Choice: (A) 12 days (B) 16 days (C) 14 days (D) 15 days (E) None of these
Answer: D
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 75$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost? Answer Choice: (A) 69.55$ (B) 50.63$ (C) 60.95$ (D) 52.15$ (E) 53.15$
Answer: C
A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 2 gallons of paint cover an area of 3P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches) Answer Choice: (A) 440P/mx (B) 880mx/P (C) 880mx/3P (D) 1760mx/3P (E) 1760P/3mx
Answer: D
A train 330 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 18 (E) 9
Answer: D
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? Answer Choice: (A) 288 (B) 500 (C) 299 (D) 2766 (E) 2912
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? Answer Choice: (A) 1/455 (B) 1/487 (C) 1/429 (D) 1/876 (E) 1/429
Answer: A
r=4^(n+2), then in terms of r, 9^n= Answer Choice: (A) r^2/81 (B) r^2/9 (C) r^2/256 (D) r/3 (E) r
Answer: C
How many positive integers Q between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5? Answer Choice: (A) 3 (B) 16 (C) 75 (D) 24 (E) 26
Answer: E
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is: Answer Choice: (A) 30% (B) 100/3% (C) 35% (D) 44% (E) None of these
Answer: D
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 1
Answer: E
Three coins are tossed. What is the probability of getting at most two tails? Answer Choice: (A) 2 (B) 6/7 (C) 7/8 (D) 25 (E) 5/1
Answer: C
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 38 years. What is the age of Deepak at present? Answer Choice: (A) 77 years (B) 15 years (C) 66 years (D) 24 years (E) 55 years
Answer: D
A can do a piece of work in 20 days and B can do it in 30 days and C can do it 10 days. They started the work together and A leaves after 2 days and C leaves after 4 days from the beginning. How long will work lost? Answer Choice: (A) 13 (B) 16 (C) 25 (D) 14 (E) 15
Answer: E
Two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds. The ratio of their speeds is: Answer Choice: (A) 1 : 1 (B) 3 : 2 (C) 3 : 8 (D) 3 : 25 (E) 3 : 4
Answer: A
Find the value of 72519 x 9999 = m? Answer Choice: (A) 34545481 (B) 45461743 (C) 24117456 (D) 725117481 (E) 45541177
Answer: D
A man invested Rs. 14,400 in Rs. 100 shares of a company at 20 % premium . If the company declares 5% dividend at the end of the year , then how much does he get ? Answer Choice: (A) 500 (B) 600 (C) 650 (D) 700 (E) 750
Answer: B
A trader sells 75 meters of cloth for Rs. 4950 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth? Answer Choice: (A) 51 (B) 88 (C) 90 (D) 42 (E) 22
Answer: A
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 2, she will stop rolling the cube. What is the probability that Molly will roll the die less than 2 times before stopping? Answer Choice: (A) 11/180 (B) 1/6 (C) 25/216 (D) 91/216 (E) 27/128
Answer: B
There are 11 boys and 10 girls in a class. If three students are selected at random, in how many ways that 3 girl & 2 boys are selected ? Answer Choice: (A) 6600 (B) 1300 (C) 6780 (D) 1976 (E) 2448
Answer: A
What is the sum of the different positive prime factors of 380? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 17 (E) 26
Answer: E
If the population of a certain country increases at the rate of 1 person every 60 seconds, by how many persons does the population increase in 2 Hours? Answer Choice: (A) 120 (B) 80 (C) 100 (D) 150 (E) 140
Answer: A
Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is ? Answer Choice: (A) 12628 (B) 12228 (C) 22812 (D) 12727 (E) 11922
Answer: A
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) 535 m (B) 178 m (C) 186 m (D) 168 m (E) 150 m
Answer: E
A four-character password consists of one letter of the alphabet and three different digits between 1 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible? Answer Choice: (A) 5,040 (B) 18,720 (C) 26,208 (D) 37,440 (E) 52,000
Answer: C
Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,100 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?” Answer Choice: (A) 286 (B) 336 (C) 360 (D) 384 (E) 420
Answer: A
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 25 gallons of gasoline? Answer Choice: (A) 190 (B) 284.6 (C) 300 (D) 305 (E) 312
Answer: D
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where R is now shown. The number of degrees through which RSTU is rotated is Answer Choice: (A)  135 degree (B)  180 degree (C)  225 degree (D)  270 degree (E)  315 degree
Answer: B
A man swims downstream 35 km and upstream 20 km taking 5 hours each time, what is the speed of the man in still water? Answer Choice: (A) 6.5 (B) 5.5 (C) 5.2 (D) 4.6 (E) 9.7
Answer: B
The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 7 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science? Answer Choice: (A) 18 : 35 : 50 (B) 18 : 49 : 50 (C) 4 : 8 : 5 (D) 32 : 35 : 25 (E) None of these
Answer: B
For an integer x greater than 1, x* denotes the product of all the integers from 1 to x inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
An investment compounds annually at an interest rate of 33.34% What is the smallest investment period by which time the investment will more than triple in value? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 4
Answer: E
In the x- y plane, there are 4 points (0,0), (0,4), (9,4), and (9,0). If these 4 points makes a rectangle, what is the probability that x+y<4? Answer Choice: (A) 2/5 (B) 3/5 (C) 3/7 (D) 4/7 (E) 2/9
Answer: E
If (m-8) is a factor of m^2-sm-24, then s= Answer Choice: (A) 3 (B) 5 (C) 6 (D) 11 (E) 16
Answer: B
A voltage will influence current only if the circuit is: Answer Choice: (A) 2 (B) 7 (C) 6 (D) 28 (E) 22
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions? Answer Choice: (A) 187 m (B) 704 m (C) 179 m (D) 127 m (E) 297 m
Answer: B
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Answer Choice: (A) 28% (B) 25% (C) 95% (D) 75% (E) 45%
Answer: B
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is: Answer Choice: (A) 1/13 (B) 2/13 (C) 1/26 (D) 2/26 (E) 1/52
Answer: C
A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $1,500 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week? Answer Choice: (A) 20% (B) 30% (C) 35% (D) 40% (E) 45%
Answer: A