loafeihong/math_mmlu_format huggingface dataset:
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? Answer Choice: (A) Rs.6003 (B) Rs.6029 (C) Rs.1288 (D) Rs.6108 (E) Rs.6011
Answer: A
If 2^2n + 2^2n + 2^2n + 2^2n = 4^22, then n = Answer Choice: (A) 3 (B) 6 (C) 12 (D) 23 (E) 21
Answer: E
If the selling price of 100 articles is equal to the cost price of 40 articles, then the loss or gain percent is: Answer Choice: (A) 25% (B) 40% (C) 60% (D) 65% (E) 50%
Answer: C
At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 9 students left the lab, how many students were in the computer lab at 15:44 ? Answer Choice: (A) 7 (B) 14 (C) 25 (D) 27 (E) 30
Answer: C
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is: Answer Choice: (A) 27% (B) 87% (C) 15% (D) 66% (E) 88%
Answer: C
w,x,y,z is an arithmetic sequence, which of the following options also qualifies as an arithmetiv sequence?
I. w-6,x-6,y-6,z-6
II. 5w,2x,3y,5z
III. 5w,5x,5y,5z Answer Choice: (A) II and III (B) III only (C) I and III (D) I and II (E) II only
Answer: A
3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election? Answer Choice: (A) 40% (B) 55% (C) 57% (D) 60% (E) 67.2%
Answer: E
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain? Answer Choice: (A) 45 (B) 50 (C) 55 (D) 60 (E) 90
Answer: E
At what rate percent on simple interest will a sum of money double itself in 30 years? Answer Choice: (A) 3 1/3% (B) 3 1/7% (C) 3 9/3% (D) 3 5/3% (E) 3 3/3%
Answer: A
An empty fuel tank with a capacity of 208 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added? Answer Choice: (A) 160 (B) 150 (C) 82 (D) 80 (E) 50
Answer: C
What is the greatest value of m such that 4^m is a factor of 27! ? Answer Choice: (A) 5 (B) 7 (C) 6 (D) 8 (E) 4
Answer: D
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days? Answer Choice: (A) 21 ½ days (B) 22 ½ days (C) 23 ½ days (D) 12 ½ days (E) none of these
Answer: B
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is? Answer Choice: (A) 288 (B) 2778 (C) 299 (D) 400 (E) 287
Answer: D
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ? Answer Choice: (A) 4/8 (B) 4/5 (C) 4/6 (D) 4/1 (E) 4/4
Answer: B
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? Answer Choice: (A) 42, 33 (B) 43, 33 (C) 42, 38 (D) 43, 39 (E) 50, 43
Answer: A
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight? Answer Choice: (A) 67.4kg (B) 57.75kg (C) 58.85kg (D) 49.4kg (E) None of these
Answer: C
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answer Choice: (A) 8 (B) 76 (C) 17 (D) 7 (E) 77
Answer: A
A train crosses a pole in 10 sec and a 200m long platform in 20 sec. What is the length of the train? Answer Choice: (A) 100m (B) 200m (C) 250m (D) 300m (E) 350m
Answer: B
Three candidates contested in an election and received 3136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get? Answer Choice: (A) 45% (B) 49% (C) 52% (D) 51% (E) 62%
Answer: C
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $2. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as Answer Choice: (A) 1 :2 : 200 (B) 1 : 4 : 100 (C) 20 : 4 : 1 (D) 100 : 4 : 1 (E) 400 : 4 : 1
Answer: A
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'? Answer Choice: (A) 7 (B) 5 (C) 6 (D) 4 (E) 3
Answer: B
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? Answer Choice: (A) 2:6 (B) 2:3 (C) 4:5 (D) 2:1 (E) 2:4
Answer: C
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent? Answer Choice: (A) 228 (B) 278 (C) 289 (D) 500 (E) 821
Answer: D
By how much is 12% of 24.2 more than 10% of 14.2 ? Answer Choice: (A) 0.1484 (B) 14.84 (C) 1.484 (D) 2.762 (E) None
Answer: C
In a certain population, there are 3 times as many people aged twenty or under as there are people over twenty. The ratio of those twenty or under to the total population is Answer Choice: (A)  1 to 2 (B)  3 to 4 (C)  1 to 4 (D)  2 to 3 (E)  3 to 5
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? Answer Choice: (A) 12/429 (B) 12/429 (C) 12/455 (D) 12/419 (E) 12/492
Answer: C
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is? Answer Choice: (A) 19 (B) 10 (C) 17 (D) 18 (E) 12
Answer: C
The average age of 19 boys and the class teacher is 16 years. If the ages of the class teacher and one of the boys are excluded, the average age reduces to 15 years. What is the age of the class teacher ? Answer Choice: (A) 767 (B) 26 (C) 50 (D) 88 (E) 21
Answer: C
Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh. If they work together how many days will they need to finish the same amount of work? Answer Choice: (A) 22/3 days (B) 9/3 days (C) 10/3 days (D) 11/3 days (E) 7/3 days
Answer: A
The average age of 19 students in a group is 17 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years? Answer Choice: (A) 36 (B) 37 (C) 38 (D) cannot be determined (E) None of these
Answer: B
The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6. The true discount is Answer Choice: (A) Rs.72 (B) Rs.36 (C) Rs.54 (D) Rs.50 (E) none
Answer: D
A group of 6 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x? Answer Choice: (A) x/18 (B) x/35 (C) 3x/70 (D) 3x/10 (E) 3x/7
Answer: A
A scale 6 ft. 8 inches long is divided into 5 equal parts. Find the length of each part. Answer Choice: (A) 20 inches (B) 77 inches (C) 16 inches (D) 97 inches (E) 66 inches
Answer: C
The average age of a group of 10 students was 20. The average age increased by 4 years when two new students joined the group. What is the average age of the two new students who joined the group? Answer Choice: (A) 22 years (B) 30 years (C) 34 years (D) 44 years (E) None of these
Answer: D
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work? Answer Choice: (A) 31 days (B) 25 days (C) 27 days (D) 29 days (E) 19 days
Answer: C
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king? Answer Choice: (A) 2/5 (B) 3/13 (C) 4/19 (D) 7/13 (E) 6/19
Answer: D
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choice: (A) 46% (B) 48% (C) 44% (D) 49% (E) 42%
Answer: C
Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product? Answer Choice: (A) 12000 (B) 11000 (C) 10000 (D) 13000 (E) 15000
Answer: B
Find the odd man out. 7, 14, 21, 28, 35, 50, 56 Answer Choice: (A) 50 (B) 25 (C) 51 (D) 90 (E) 115
Answer: A
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business? Answer Choice: (A) Rs.7500 (B) Rs.9000 (C) Rs.9500 (D) Rs.10,000 (E) None
Answer: A
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Answer Choice: (A) A)Rs.6,602.50 (B) B)Rs.6,601.50 (C) C)Rs.6,603.50 (D) D)Rs.6,604.50 (E) E)Rs.6,605.50
Answer: A
How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic meter of iron? Answer Choice: (A) 150 (B) 100 (C) 250 (D) 200 (E) 400
Answer: E
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 56,000 after completion of one year. What will be Madhu's share of profit? Answer Choice: (A) Rs. 28,000 (B) Rs. 24,000 (C) Rs. 30,000 (D) Rs. 36,000 (E) None of these
Answer: A
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,200 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? Answer Choice: (A) $28 (B) $82 (C) $110 (D) $190 (E) $192
Answer: D
Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 8%. What is the approximate interest he pays annually? Answer Choice: (A) 1500 (B) 1750 (C) 2000 (D) 3500 (E) 2500
Answer: D
In Jeevans opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Jeevan and he thinks that Jeevans weight is greater than 60 kg but less than 70 kg. His mothers view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Jeevan? Answer Choice: (A) 67 kg (B) 68 kg (C) 69 kg (D) None of these (E) Cannot be determined
Answer: A
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is: Answer Choice: (A) 12% (B) 13% (C) 14% (D) 15% (E) 18%
Answer: C
How many 0's are there in the binary form of 6*1024 + 4*64 + 2 Answer Choice: (A) 6 (B) 7 (C) 8 (D) 10 (E) 9
Answer: E
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 5000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally? Answer Choice: (A) 10,000 (B) 11,600 (C) 12,000 (D) 15,000 (E) 16,400
Answer: D
A train 125 m long passes a man, running at 4 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 kmph (B) 50 kmph (C) 51 kmph (D) 52 kmph (E) 53 kmph
Answer: A
If a is an integer and (a^2)/(12^3) is odd, which of the following must be an odd integer? Answer Choice: (A) a/4 (B) a/12 (C) a/27 (D) a/36 (E) a/72
Answer: E
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much? Answer Choice: (A) 3387 (B) 277 (C) 223 (D) 992 (E) 213
Answer: D
If the diameter of circle R is 50% of the diameter of circle S, the area of circle R is what percent of the area of circle S? Answer Choice: (A) 35% (B) 25% (C) 20% (D) 15% (E) 10%
Answer: B
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another surveyof 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed? Answer Choice: (A) 50 (B) 100 (C) 150 (D) 200 (E) 250
Answer: D
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 20 what is the degree measure of the smaller angle? Answer Choice: (A) 75 (B) 80 (C) 85 (D) 90 (E) 95
Answer: B
In the third grade of Windblown School there are 96 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests? Answer Choice: (A) 0. (B) 6. (C) 8. (D) 10. (E) 12.
Answer: A
The fourth proportional to 12, 14 and 18 is? Answer Choice: (A) 21 (B) 66 (C) 55 (D) 88 (E) 61
Answer: A
A pupil's marks were wrongly entered as 73 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is? Answer Choice: (A) 18 (B) 82 (C) 20 (D) 27 (E) 29
Answer: C
A box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective? Answer Choice: (A) 17 (B) 18 (C) 54 (D) 108 (E) 162
Answer: E
Given that G and H are events such that
Q(G)= 0.30
Q(H)=0.9
Q(GnH)=0.9
find Q (G|H) and Q(G|H) Answer Choice: (A) 1/5 (B) 1/6 (C) 1/3 (D) 1/6 (E) 1/3
Answer: C
How many 2 digits number are there which when subtracted from the number formed by reversing its digits as well as when added to the number formed by reversing its digit, result is a perfect square. Answer Choice: (A) 63 (B) 64 (C) 65 (D) 66 (E) 67
Answer: C
How many pieces can a square pizza be cut into by making 6 linear cuts? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: C
What is the greatest prime factor of 4^16 - 2^28? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11
Answer: C
A bat is bought for Rs.400 and sold at a gain of 30% find its selling price? Answer Choice: (A) s.460/- (B) s.480/- (C) s.500/- (D) s.520/- (E) s.540/-
Answer: D
In a division, a student took 87 as divisor instead of 36. his answer was 24 . The correct answer is- Answer Choice: (A) 42 (B) 32 (C) 48 (D) 28 (E) 58
Answer: E
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is: Answer Choice: (A) 40 (B) 25 (C) 30 (D) 35 (E) 48
Answer: A
Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $550, how many sales has Matt made? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
The Cottage Grove Loop Line travels the distance between the north side and the south side of the city in two hours, at a rate of speed of 100 km/h. How long is a round trip, measured in kilometers? Answer Choice: (A) 100 km (B) 150 km (C) 200 km (D) 300 km (E) 400 km
Answer: E
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.1, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy? Answer Choice: (A) $8.30 (B) $20.75 (C) $22.50 (D) $42.75 (E) $45.00
Answer: A
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be? Answer Choice: (A) 8 days (B) 11 days (C) 21 days (D) 22 days (E) 24 days
Answer: A
If x is less than y by 20% then y exceed x by: Answer Choice: (A) 33.33% (B) 25% (C) 75% (D) 66.66% (E) None of these
Answer: B
A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? Answer Choice: (A) 22 days (B) 8 days (C) 67 days (D) 1 days (E) 18 days
Answer: B
What is the least common multiple of 15, 22 and 24? Answer Choice: (A) 60 (B) 120 (C) 240 (D) 1320 (E) 1720
Answer: D
It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 160 pages? Answer Choice: (A) 12 (B) 18 (C) 48 (D) 20 (E) 30
Answer: C
Last year Sandy saved 6% of her annual salary. This year, she made 10% more money than last year, and she saved 9% of her salary. The amount saved this year was what percent of the amount she saved last year? Answer Choice: (A) 140% (B) 152% (C) 165% (D) 176% (E) 190%
Answer: C
A boy is travelling from his home to school at 4 km/hr and reached 7 min late. Next day he traveled at 8 km/hr and reached 8 min early. Distance between home and school? Answer Choice: (A) 2km (B) 3km (C) 4km (D) 5km (E) 6km
Answer: A
In an exam, Dibi scored 25 percent, Balan scored 38 percent and Cristen 23 percent. The maximum score awarded in the exam is 1200. Find the average mark scored by all the three boys? Answer Choice: (A) 322 (B) 342 (C) 344 (D) 328 (E) 320
Answer: C
The forth proportional to 1,2,3 is? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 9 (E) 6
Answer: E
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ? Answer Choice: (A) Rs. 13, Rs. 19 (B) Rs. 13, Rs. 17 (C) Rs. 13, Rs. 12 (D) Rs. 13, Rs. 11 (E) Rs. 13, Rs. 10
Answer: B
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases. Answer Choice: (A) 4:3 (B) 8 : 7 (C) 4 : 1 (D) 6 : 5 (E) None of these
Answer: B
Let the polynomials be:
P1(x)=3x2−7x+7,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= Answer Choice: (A) 2x2 + 11x - 7 (B) -2x2 - 11x + 9 (C) -2x2 - 11x + 6 (D) 2x2 - 9x + 7 (E) None of these
Answer: B
In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a two on either die, that player wins. What is the probability that a player wins after playing the game once? Answer Choice: (A) 1/3 (B) 4/9 (C) 5/9 (D) 2/3 (E) 3/4
Answer: C
The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is ? Answer Choice: (A) 8% (B) 1% (C) 20% (D) 80% (E) NONE
Answer: C
Two trains of length 200 m and 300 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other? Answer Choice: (A) 70/8 (B) 70/7 (C) 70/5 (D) 70/3 (E) 70/1
Answer: D
What is the sum of this series?
1, 3, 5, 7, 9, ...... 45. Answer Choice: (A) 600 (B) 529 (C) 612 (D) 512 (E) 589
Answer: B
Angelina walked 960 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? Answer Choice: (A) 2 (B) 13 (C) 24 (D) 36 (E) 42
Answer: D
A mixture contains alcohol and water in the ratio 4 : 3. If 8 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture Answer Choice: (A) 15 litres (B) 10 litres (C) 30 litres (D) 22 litres (E) 16 litres
Answer: E
A 340-liter solution of Kola is made from 80% water, 6% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar? Answer Choice: (A) 6%. (B) 7.5%. (C) 9.2%. (D) 10.5%. (E) 14%.
Answer: E
Tough and Tricky questions: Combinations.
Three students - 2 boys and 1 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another? Answer Choice: (A) 2 (B) 4 (C) 72 (D) 240 (E) 720
Answer: B
What is the remainder when 3^25 is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
James eats cookies every day. The first day, he eats 2 cookies. He eats 4 more cookies each day after that. What is the average number of cookies he eats per day for the first 2 weeks? Answer Choice: (A) 32.14 (B) 45 (C) 49.28 (D) 30 (E) 33.33
Answer: A
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Answer Choice: (A) 15 3/7 days (B) 11 3/7 days (C) 12 3/7 days (D) 19 3/7 days (E) 13 3/7 days
Answer: B
Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 20 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 20 percent discount. Salesman Y's final price is what fraction of salesman X's final price? Answer Choice: (A) 29/32 (B) 28/31 (C) 30/31 (D) 40/41 (E) 34/15
Answer: A
An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective? Answer Choice: (A) 0.8647 (B) 0.8642 (C) 0.8645 (D) 0.8628 (E) 0.8612
Answer: C
A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a woman is selected? Answer Choice: (A) x/(x + 2) (B) x/(x + y) (C) (x + 2)/(x + y + 2) (D) (y + 4)/(x + y + 6) (E) (x + 2)/(x + y + 6)
Answer: D
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective. Answer Choice: (A) 1/125 (B) 1/117 (C) 1/198 (D) 1/128 (E) 1/126
Answer: E
Two numbers are respectively 35% and 50% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 90% (B) 47% (C) 38% (D) 52% (E) 83%
Answer: A