loafeihong/math_mmlu_format huggingface dataset:
3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is? Answer Choice: (A) 1/7 (B) 1/9 (C) 2/7 (D) 3/7 (E) 2/9
Answer: B
The angles of a triangle are in the ratio 1 : 3 : 8. Find the measurement of the 3angles of triangle. Answer Choice: (A) 100° (B) 110° (C) 120° (D) 180° (E) 190°
Answer: C
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $194 million, which represented 8 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars? Answer Choice: (A) 17,010 (B) 2,100 (C) 2425 (D) 2564 (E) 2103
Answer: C
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
if x:y = 1:7, then find the value of
(7x+3y):(2x+y) Answer Choice: (A) 14:5 (B) 15:5 (C) 28:9 (D) 17:5 (E) None of these
Answer: C
Pipes A and B can fill a tank in 2 and 3 hours. Pipe C can empty it in 6 hours. If all pipes are opened together, then the tank will be filled in? Answer Choice: (A) 3/2hr (B) 1/2hr (C) 1hr (D) 9/7hr (E) 5/3hr
Answer: B
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue Q, in dollars, from the sale of cars priced at $ 15,000? Answer Choice: (A) 50,000 (B) 750,000 (C) 850,000 (D) 7,500,000 (E) Q=750,000,000
Answer: E
A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours Answer Choice: (A) 12 (B) 24 (C) 48 (D) 168 (E) 180
Answer: B
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are? Answer Choice: (A) 23 (B) 18 (C) 20 (D) 19 (E) 21
Answer: B
The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream? Answer Choice: (A) 30 kmph (B) 40 kmph (C) 78 kmph (D) 15 kmph (E) 23 kmph
Answer: A
The total of the ages of Amar, Akbar and Anthony is 36 years. What was the total of their ages five years ago ? Answer Choice: (A) 21 (B) 44 (C) 66 (D) 16 (E) 18
Answer: A
40% of all students in a class commute by public transportation. If 25% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	7%
II.	20%
III.	45% Answer Choice: (A) I ONLY (B) II ONLY (C) III ONLY (D) I AND II (E) I AND III
Answer: C
80% of the students of a village is 1600. The total students of the school is? Answer Choice: (A) 2000 (B) 2500 (C) 3000 (D) 1800 (E) 2200
Answer: A
When you draw 2 dices together, find the probability of getting numbers in pairs? Answer Choice: (A) 1/5 (B) 1/6 (C) 1/7 (D) 1/11 (E) 1/12
Answer: B
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 1154 (B) 166 (C) 256 (D) 750 (E) 271
Answer: D
In Town X, 64 percent of the population are employed, and 47 percent of the population are employed males. What percent of the employed people in Town X are females? Answer Choice: (A) 16% (B) 46% (C) 32% (D) 24% (E) 52%
Answer: D
A tank can supply water to a village for 100 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 75 days only. For how many days will the supply last if the leak drains out 20 liters per day? Answer Choice: (A) 50 (B) 60 (C) 65 (D) 70 (E) 72
Answer: B
In a party every person shakes hands with every other person. If there were a total of 120 handshakes in the party then what is the number of persons present in the party ? Answer Choice: (A) 15 (B) 16 (C) 17 (D) 18 (E) 19
Answer: B
√(36)^2 Answer Choice: (A) 6 (B) 14 (C) 36 (D) 21 (E) None of these
Answer: C
A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car. Answer Choice: (A) 17 6/7 km/hr (B) 25 km/hr (C) 30 km/hr (D) 35 km/hr (E) 40 km/hr
Answer: D
Sonika bought a V.C.R. at the list price of 18,700. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R. Answer Choice: (A) 20,196 (B) 19,780 (C) 19,680 (D) 19,380 (E) None of these
Answer: A
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 12 mat-weavers in 12 days? Answer Choice: (A) 25 (B) 19 (C) 39 (D) 61 (E) 36
Answer: E
A grocer buys apples for 63¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price? Answer Choice: (A) 66¢ (B) 70¢ (C) 75¢ (D) 77¢ (E) 84¢
Answer: E
A grocer has a sale of Rs. 7435, Rs. 7920, Rs. 7855, Rs. 8230 and Rs. 7560 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500? Answer Choice: (A) 500 (B) 2000 (C) 5000 (D) 6000 (E) 7000
Answer: D
Only a single rail track exists between stations A and B on a railway line. One hour after the north bound super fast train N leaves station A for station B, a south-bound passenger train S reaches
station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day? Answer Choice: (A) 1 : 3 (B) 1 : 4 (C) 1 : 5 (D) 1 : 6 (E) 1 : 7
Answer: D
A cyclist covers a distance of 750 meter in 2 minutes 40 seconds. What is the speed in km/hr of cyclist Answer Choice: (A) 16 km/hr (B) 16.85 km/hr (C) 18 km/hr (D) 19 km/hr (E) 20 km/hr
Answer: B
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is? Answer Choice: (A) 9:39 (B) 9:31 (C) 9:37 (D) 9:32 (E) 9:33
Answer: B
If the ratio of x to y is 2 to 6, then (y-x)/(x+y)? Answer Choice: (A) -7/3 (B) -3/7 (C) 1/2 (D) 1/4 (E) 7/3
Answer: C
Find the ones digit of 73^350 Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 9
Answer: E
Today is Thursday. The day after 59 days will be Answer Choice: (A) Monday (B) Tuesday (C) Saturday (D) Sunday (E) None of these
Answer: D
In how many ways letters of the word PRESS be arranged? Answer Choice: (A) 10 (B) 20 (C) 60 (D) 80 (E) 40
Answer: C
The average age of 16 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is? Answer Choice: (A) 9 (B) 11 (C) 15 (D) 12 (E) 26
Answer: E
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions? Answer Choice: (A) (54 + 6/11) past 00 (B) (54 + 6/11) past 29 (C) (54 + 6/11) past 19 (D) (54 + 6/11) past 4 (E) (54 + 6/11) past 12
Answer: D
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 66900. What is his profit percent? Answer Choice: (A) 22 (B) 77 (C) 18 (D) 21.6 (E) 88
Answer: D
Determine the equation for the line parallel to r ≡ 3x + 2y − 4 = 0 that passes through the point A = (2, 3). Answer Choice: (A) 2x + 3y +12= 0 (B) 2x + 3y -12= 0 (C) 3x + 2y − 12= 0 (D) 3x + 2y +12= 0 (E) x + y − 6= 0
Answer: C
Graph G has a line of symmetry of x = –3. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3? Answer Choice: (A)  –9 (B)  –7 (C)  –5 (D)  –4 (E)  2
Answer: A
170kg of an alloy A is mixed with 250 kg of alloy B. If alloy A has lead and tin in the ratio 1:3 and alloy B has tin and copper in the ratio 3:5, then the amount of tin in the new alloy is? Answer Choice: (A) 210.6kg (B) 221.3kg (C) 229.5kg (D) 110.8kg (E) 114kg
Answer: B
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate? Answer Choice: (A) 12 1/2 (B) 12 1/6 (C) 12 1/9 (D) 12 1/5 (E) 12 1/1
Answer: A
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Answer Choice: (A) 3000 (B) 4000 (C) 5000 (D) 4000 (E) 2000
Answer: E
If 4/p=8 & 6/q=18 then p-q=? Answer Choice: (A) 5/24 (B) 6/24 (C) 7/24 (D) 1/6 (E) 9/24
Answer: D
Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points? Answer Choice: (A) 25 (B) 29 (C) 48 (D) 26 (E) 54
Answer: A
If x is a number such that x^2 + 5x - 6 = 0 and x^2 - 5x + 4 = 0, then x = Answer Choice: (A) -1 (B) 1 (C) 4 (D) -6 (E) 6
Answer: B
An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 40 percent of the votes cast? Answer Choice: (A) 75% (B) 58% (C) 42% (D) 34% (E) 14%
Answer: E
A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital? Answer Choice: (A) 6000 (B) 9000 (C) 9500 (D) 12000 (E) None
Answer: B
What is the sum Y of all 3 digit numbers that leave a remainder of '2' when divided by 3? Answer Choice: (A) 897 (B) 164,850 (C) 164,749 (D) 149,700 (E) 156,720
Answer: B
210 reputed university students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers? Answer Choice: (A) 25 (B) 40 (C) 50 (D) 60 (E) 75
Answer: B
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet? Answer Choice: (A) 21/9 sec (B) 32/3 sec (C) 20/7 sec (D) 32/3 sec (E) 53/2 sec
Answer: C
Two identical machines have the ability to produce both nuts and bolts. However, it takes 3 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,000 nuts and 1,000 bolts? Answer Choice: (A) 1,250 seconds (B) 1,500 seconds (C) 1,750 seconds (D) 2,500 seconds (E) 3,000 seconds
Answer: D
The average of four numbers is 27. If one number is excluded, the average becomes 25. The excluded number is Answer Choice: (A) 25 (B) 27 (C) 30 (D) 33 (E) 40
Answer: D
Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z? Answer Choice: (A) f(x) = x2 (B) f(x) = x + (x−1)^2 (C) f(x) = x-1 (D) f(x) = 5/x (E) f(x) = x/5
Answer: E
In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the even positions? Answer Choice: (A) None of these (B) 64 (C) 120 (D) 36 (E) 360
Answer: D
A boy rides his bicycle 10 km at an average sped of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately. Answer Choice: (A) 10.2 kmph (B) 10.4 kmph (C) 10.8 kmph (D) 11.8 kmph (E) None
Answer: C
If 0 < y < 1, what is the median of the values y, y^-1, y^2, y^1/2 and y^3? Answer Choice: (A) y (B) y^-1 (C) y^2 (D) y^1/2 (E) y^3
Answer: A
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/18 (B) 30/19 (C) 30/15 (D) 30/13 (E) 30/11
Answer: D
In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A? Answer Choice: (A) 53 (B) 66 (C) 77 (D) 89 (E) 11
Answer: A
In a certain match all the teams were to play with each other. If there are 8 teams, how many matches will have to be played? Answer Choice: (A) 40 (B) 28 (C) 60 (D) 90 (E) None of the above
Answer: B
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. 2772? Answer Choice: (A) 2277 (B) 2669 (C) 2200 (D) 2800 (E) 2998
Answer: D
The function F(n) is defined as the product of all the consecutive positive integers between 1 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 3 in the prime factorization of F(3)/G(3) is Answer Choice: (A) 	1 (B) 	2 (C) 	3 (D) 	4 (E) 	5
Answer: A
In the quiet town ofNothintodothere are 500 inhabitants, 300 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists? Answer Choice: (A) 50. (B) 100. (C) 150. (D) 200. (E) 300.
Answer: A
At what price must an Book costing $47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Answer Choice: (A) 72.5 (B) 55.5 (C) 62.5 (D) 82.5 (E) 60.5
Answer: C
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together? Answer Choice: (A) 400 (B) 420 (C) 430 (D) 450 (E) 480
Answer: E
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%? Answer Choice: (A) 16 2/3% loss (B) 16 2/8% loss (C) 16 8/3% loss (D) 18 2/3% loss (E) 26 2/3% loss
Answer: A
On decreasing the price of a Computer by 10%, its sale is increased by 40%. The effect on the revenue is? Answer Choice: (A) 4% decrease (B) 28% increase (C) 16% decrease (D) 26% increase (E) none of these
Answer: D
How many keystrokes are needed to type numbers from 56 to 200? Answer Choice: (A) 310 (B) 391 (C) 270 (D) 289 (E) None of these
Answer: B
A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group? Answer Choice: (A) 33 (B) 38 (C) 23 (D) 10 (E) 27
Answer: D
What approximate value should come in place of question mark (?) in the following equations ?
(0.0078 ÷ 0.00012) x 77.88 = ? Answer Choice: (A) 5010 (B) 5040 (C) 5070 (D) 5100 (E) 5400
Answer: C
In how many ways can the letters of the word MANIFOLD be arranged so that the vowels are separated ? Answer Choice: (A) 14400 (B) 36000 (C) 18000 (D) 24000 (E) 22200
Answer: A
There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 28 possible combinations in which Michael is not selected, what is the value of n? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: C
A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour. Answer Choice: (A) 6/7 (B) 15/7 (C) 8/9 (D) 7/15 (E) 4/3
Answer: D
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score. Answer Choice: (A) 179 (B) 367 (C) 269 (D) 177 (E) 191
Answer: A
In a coconut grove, (x + 1) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 1) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) None of the above
Answer: A
The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Answer Choice: (A) 75 (B) 66 (C) 55 (D) 44 (E) 12
Answer: A
a box contain 4 small bos, each small box again contain 3 box,again these box contain 2 box . total how many boxes Answer Choice: (A) 38 (B) 39 (C) 40 (D) 42 (E) 41
Answer: E
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x? Answer Choice: (A) 50 (B) 100 (C) 200 (D) 1,000 (E) 2,000
Answer: C
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is: Answer Choice: (A) 53 (B) 108 (C) 77 (D) 107 (E) 109
Answer: D
An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets liquid in at the rate of 8 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank. Answer Choice: (A) 8600 litres (B) 12800 litres (C) 12100 litres (D) 11200 litres (E) 13200 litres
Answer: B
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120? Answer Choice: (A) Rs. 4000 (B) Rs. 4500 (C) Rs. 5500 (D) Rs. 6000 (E) Rs. 7000
Answer: A
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b < bc Answer Choice: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III
Answer: A
If a real number x is chosen at random in the interval [0,3] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y? Answer Choice: (A) 23/30 (B) 7/12 (C) 11/15 (D) 7/10 (E) 3/4
Answer: D
There are 3 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________ Answer Choice: (A) 10 (B) 78 (C) 89 (D) 64 (E) 56
Answer: D
By weight, liquid X makes up 1.5 percent of solution P and 6.5 percent of solution Q. If 400 grams of solution P are mixed with 600 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution? Answer Choice: (A) 3.6% (B) 3.9% (C) 4.2% (D) 4.5% (E) 4.8%
Answer: D
Given distinct positive integers 1, 11,4, x, 2, and 10, which of the following could be the median? Answer Choice: (A) 3 (B) 4 (C) 7 (D) 8 (E) 9
Answer: B
What number comes next in the following series? 4, 14, 44, 134, 404, ____ Answer Choice: (A) 1204 (B) 1208 (C) 1214 (D) 1216 (E) 1220
Answer: C
In a end-of-season sale, the prices at a store have been cut to 80%. How many dollars would a $50 item cost? Answer Choice: (A) $15 (B) $10 (C) $21 (D) $20 (E) None of these
Answer: B
Two numbers are in the ratio of 5:7. If 33 is subtracted from each number, they are in the ratio of 1:2. What are the two numbers? Answer Choice: (A) 45, 63 (B) 50, 70 (C) 55, 77 (D) 60, 84 (E) 65, 91
Answer: C
7 people sit at the round table. In how many ways can we sit them so that ALI and BillI don't sit opposing each other? Answer Choice: (A) A)400 (B) B)420 (C) C)440 (D) D)460 (E) E)480
Answer: E
In the first 10 overs of a cricket game, the run rate was only 6.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 5.5 (C) 6.75 (D) 7 (E) 8
Answer: B
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is: Answer Choice: (A) 1520 m2 (B) 2420 m2 (C) 2480 m2 (D) 2520 m2 (E) 2645 m2
Answer: D
What least number should be subtracted from 13603 such that the remainder is divisible by 87 ? Answer Choice: (A) 27 (B) 29 (C) 28 (D) 30 (E) 31
Answer: E
In Kaya's teacher's desk there are 6 pink highlighters, 2 yellow highlighters, and 4 blue highlighters. How many highlighters are there in all? Answer Choice: (A) 11 (B) 12 (C) 77 (D) 33 (E) 88
Answer: B
If C and D are positive integers, and the remainder obtained when C is divided by D is the same as the remainder obtained when D is divided by C, which of the following is a possible value of CD? Answer Choice: (A)  62 (B)  55 (C)  48 (D)  31 (E)  25
Answer: E
Vijay sells a cupboard at 14% below cost price. Had he got Rs.2086 more, he would have made a profit of 14%. What is the cost price of the cupboard? Answer Choice: (A) 7450 (B) 14900 (C) 7400 (D) 7500 (E) None of these
Answer: A
There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink? Answer Choice: (A) 5/8 (B) 5/6 (C) 5/1 (D) 5/9 (E) 5/2
Answer: D
The average weight of 6 person's increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg. What might be the weight of the new person? Answer Choice: (A) 73 kg (B) 79.8 kg (C) 86 kg (D) Data inadequate (E) None of these
Answer: B
John and David work at a hospital with 8 other workers. For an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. What is the probability that John and David will both be chosen? Answer Choice: (A) 1/30 (B) 1/25 (C) 1/20 (D) 1/28 (E) 1/30
Answer: D
Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $5,200 less if they could find two more equal investors. How much is the total investment in the new business? Answer Choice: (A) $64,000 (B) $78,000 (C) $39,000 (D) $ 5,200 (E) $ 3,800
Answer: C
Given that G and H are events such that
G(Y)= 0.02
G(Z)=0.4
G(YnZ)=0.4
find G (Y|Z) and G(Y|Z) Answer Choice: (A) 1/22 (B) 1/20 (C) 1/25 (D) 1/10 (E) 1/50
Answer: B
The product Z of two prime numbers is between 20 and 56. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is Z? Answer Choice: (A) 26 (B) 35 (C) 39 (D) 51 (E) 55
Answer: D
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.09. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue? Answer Choice: (A) $0.66 (B) $0.70 (C) $0.80 (D) $0.90 (E) $1.00
Answer: A
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science? Answer Choice: (A) 18 (B) 99 (C) 77 (D) 66 (E) 43
Answer: A
Grace has 18 jellybeans in her pocket. She has 9 red ones, 5 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 13 (E) 15
Answer: E
If two of the four expressions x + y , x + 6y , x - y , and 6x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer? Answer Choice: (A) 1/5 (B) 1/8 (C) 1/6 (D) 1/7 (E) 1/3
Answer: C