loafeihong/math_mmlu_format huggingface dataset:
A dishonest dealer uses a scale of 95 cm instead of a metre scale and claims to sell at cost price. His profit is Answer Choice: (A) 9% (B) 5.26% (C) 12% (D) None of these (E) Cannot be determined
Answer: B
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $948 in total compensation, how many total hours did he work that week? Answer Choice: (A) 36 (B) 40 (C) 44 (D) 48 (E) 51
Answer: E
If xy=9, x/y=36, for positive numbers x and y, y=? Answer Choice: (A) 1/2 (B) 2 (C) 1/3 (D) 3 (E) 1/6
Answer: A
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit? Answer Choice: (A) 337 (B) 960 (C) 278 (D) 211 (E) 191
Answer: B
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 25 and 200, then the least and greatest integers on the card could be Answer Choice: (A) 3 and 15 (B) 3 and 20 (C) 5 and 13 (D) 4 and 14 (E) 5 and 14
Answer: C
capacity of A doing work is double than B.if both together finish a work in 21 days,then A alone in how much days can finish the work? Answer Choice: (A) 16 (B) 18 (C) 15 (D) 20 (E) 21
Answer: B
Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations? Answer Choice: (A) 88% (B) 78% (C) 98% (D) Cannot be determined (E) None of these
Answer: D
Find the number of ways in which 6 different beads can be arranged to form a necklace. Answer Choice: (A) 30 (B) 20 (C) 50 (D) 60 (E) 80
Answer: C
In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually? Answer Choice: (A) 7years (B) 6years (C) 3years (D) 9years (E) 2years
Answer: C
Nr Books bought Nr of People
6 3
7 1
8 5
9 2
What is the median of books bought per person? Answer Choice: (A) a) 2 (B) b) 4 (C) c) 6 (D) d) 8 (E) e) 18
Answer: D
If p is a natural number and p! ends with r trailing zeros, then the number of zeros that (5p)! ends with will be Answer Choice: (A) a) (p+r) trailing zeros (B) b) (5p+y) trailing zeros (C) c) (5p+5y) trailing zeros (D) d) (p+5y) trailing zeros (E) e) none of them above
Answer: A
How much interest can a person get on Rs. 7200 at 17.5% p.a. simple interest for a period of two years and six months? Answer Choice: (A) Rs. 4150 (B) Rs. 3850 (C) Rs. 3770 (D) Rs. 3150 (E) None of these
Answer: D
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 7 € (4 € 5) = Answer Choice: (A) 80 (B) 120 (C) 160 (D) 240 (E) 560
Answer: E
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A. Answer Choice: (A) Rs.240 (B) Rs.350 (C) Rs.340 (D) Rs.390 (E) Rs.260
Answer: A
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.140000, find the cost of a camel? Answer Choice: (A) s.9800 (B) s.3800 (C) s.9800 (D) s.6800 (E) s.5600
Answer: E
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage? Answer Choice: (A) 33 1/3 (B) 33 1/5 (C) 33 1/9 (D) 33 1/4 (E) 33 1/1
Answer: A
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? Answer Choice: (A) 23 years (B) 24 years (C) 25 years (D) 26 years (E) 27 years
Answer: B
If x > y^6 > z^7, which of the following statements could be true? I.x>z II.z=x III.x>y>z Answer Choice: (A) I,III only (B) I only (C) II only (D) III only (E) I,II only
Answer: A
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(11) + 7; g(11) + 8; g(11) + 9; and g(11) + 10? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) none
Answer: E
Balloons are bought at 12 for Rs.10/- and sold at 10 for Rs.12/-. Find the gain or loss percentage? Answer Choice: (A) 21% Loss (B) 21% Gain (C) 44 % Profit (D) 44 % Loss (E) 46 % Loss
Answer: C
A shopkeeper gives a discount of 12, whereas a customer makes cash payment. Let 'p' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['p' is an integer] in order to make a profit of x. Which of the following can't be possible value of x? Answer Choice: (A) 54 (B) 76 (C) 96 (D) 32 (E) 34
Answer: C
Which is largest prime number? Answer Choice: (A) 937 (B) 983 (C) 991 (D) 997 (E) 999
Answer: D
Today Mary’s father is four times as old as Mary. Three years ago, he was 5 times as old. How old is Mary today? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Answer: D
mr. depak has $449,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options: Answer Choice: (A) $1 (B) $2 (C) $3 (D) $4 (E) $6
Answer: A
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 2, then what is the increase in the number of pandas? Answer Choice: (A)  2 (B)  3 (C)  5 (D)  6 (E)  15
Answer: D
In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction. Find the number of books. Answer Choice: (A) 68 (B) 72 (C) 96 (D) Can't be determined (E) None of these
Answer: C
20. A certain church bell rings the bell twice at half past the hour and four
times at the hour plus an additional number of rings equal to what ever
time it is. How many rings will the clock make from 6:20 in the morning
to 11:10 in the morning? Answer Choice: (A) 32. (B) 75. (C) 42. (D) 46. (E) 50.
Answer: B
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? Answer Choice: (A) 3/4 (B) 4/3 (C) 6/5 (D) 5/9 (E) 4/5
Answer: A
Joshua and Jose work at an auto repair center with 4 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen? Answer Choice: (A) 1/15 (B) 1/12 (C) 1/9 (D) 1/6 (E) 1/3
Answer: A
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? Answer Choice: (A) 37 km/hr (B) 50 km/hr (C) 36 km/hr (D) 26 km/hr (E) 55 km/hr
Answer: E
How many factors of 440 are odd numbers greater than 1? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 6 (E) 7
Answer: A
January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008? Answer Choice: (A) Monday (B) Tuesday (C) Wednesday (D) Sunday (E) Friday
Answer: B
If 40 per cent of a number is added to an other number then it becomes 125 per cent of itself. What will be the ratio of first and second numbers? Answer Choice: (A) 8 : 5 (B) 5 : 7 (C) 5 : 8 (D) Data inadequate (E) None of these
Answer: E
Two vehicles A and B leave from Y to X. A overtakes B at 10:30 am and reaches X at 12:00. It waits for two hours and returns to Y. On its way, it meets B at 3 PM and reaches Y at 5 PM. B reaches city X waits for 1 hour and returns to y After how many hours will B reach to Y from the time A overtook him. Answer Choice: (A) 40.5 (B) 41.5 (C) 42.5 (D) 43.5 (E) 44.5
Answer: B
By selling 22 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Answer Choice: (A) 83 (B) 63 (C) 53 (D) 33 (E) 13
Answer: D
In a group of 100 people,60 like volleyball,50 like hockey. How many like both volleyball and hockey? Answer Choice: (A) 20 (B) 15 (C) 10 (D) 5 (E) 25
Answer: C
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 160 marks, the no of questions he attempts correctly is : Answer Choice: (A) 35 (B) 38 (C) 40 (D) 42 (E) 44
Answer: E
A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 4 (E) 9
Answer: B
Jim covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time? Answer Choice: (A) 15 Kmph (B) 18 Kmph (C) 19 Kmph (D) 20 Kmph (E) 21 Kmph
Answer: A
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 391 (D) 345 (E) 354
Answer: C
If 25% of a number is subtracted from a second number the second number reduces to its five-sixths. What is the ratio between the first number and the second number? Answer Choice: (A) 2 : 3 (B) 3 : 2 (C) 1 : 3 (D) Data inadequate (E) None of these
Answer: A
There are c cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)? Answer Choice: (A) c(c-1) (B) n(n+1) (C) n(n-1)/2 (D) n(n+1)/2 (E) n2
Answer: A
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 20%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available? Answer Choice: (A) 20% (B) 25% (C) 33.33% (D) 40% (E) 35%
Answer: B
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks? Answer Choice: (A) Rs.1000 (B) Rs.1050 (C) Rs.1170 (D) Rs.1900 (E) Rs.1230
Answer: C
5^100 is divided by 18. Then what is the remainder? Answer Choice: (A) 10 (B) 11 (C) 13 (D) 15 (E) 19
Answer: C
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $920 in total compensation, how many total hours did he work that week? Answer Choice: (A) 36 (B) 50 (C) 44 (D) 48 (E) 52
Answer: B
The bankerâ€™s gain on a sum due 3 years hence at 10% per annum is Rs. 120. The bankerâ€™s discount is Answer Choice: (A) Rs.960 (B) Rs.840 (C) Rs.520 (D) Rs.760 (E) None
Answer: C
Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 610 or over 780. If the individual ranges of the three people's scores in those 4 practice tests were 50, 80 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together. Answer Choice: (A) 70 (B) 80 (C) 90 (D) 100 (E) 110
Answer: B
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 8 more than the average expenditure of all the nine. The total money spent by all of them was Answer Choice: (A) 36 (B) 40 (C) 29.25 (D) 27 (E) None of the above
Answer: A
At 12:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 3:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter? Answer Choice: (A) 5:00 p.m. (B) 6:00 p.m. (C) 7:00 p.m. (D) 8:00 p.m. (E) 9:00 p.m.
Answer: B
In a certain province in France there are 19 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment? Answer Choice: (A) 30 (B) 105 (C) 330 (D) 143 (E) 171
Answer: E
The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $49. What is the rate of interest per annum? Answer Choice: (A) 5% (B) 6% (C) 7% (D) 8% (E) 9%
Answer: C
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 32% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking? Answer Choice: (A) 20% (B) 30% (C) 50% (D) 55% (E) 75%
Answer: A
A single discount equivalent to the discount series of 30%, 10% and 5% is? Answer Choice: (A) 31.5 (B) 31.8 (C) 40.1 (D) 31.3 (E) 31.1
Answer: C
A table is bought for Rs.800/- and sold at a loss of 10% find its selling price Answer Choice: (A) s.500/- (B) s.530/- (C) s.540/- (D) s.600/- (E) s.720/-
Answer: E
A merchant marks his goods up by 40% and then offers a discount of 15% on the marked price. What % profit does the merchant make after the discount? Answer Choice: (A) 21% (B) 25% (C) 69% (D) 31% (E) 19%
Answer: E
A completes a work in 6 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) 9 days (C) 10 days (D) 4.8 days (E) 13 days
Answer: D
A man swims downstream 40 km and upstream 30 km taking 5 hours each time, what is the speed of the man in still water? Answer Choice: (A) 12 (B) 8 (C) 36 (D) 5 (E) 7
Answer: E
How many total number of ways in which a distinct objects can be put into two different boxes is Answer Choice: (A) n2 (B) 2a (C) 2n (D) 3n (E) None of these
Answer: B
An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 20% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount? Answer Choice: (A) 119.45% (B) 129.56% (C) 138.24% (D) 141.92% (E) 145.36%
Answer: C
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is Answer Choice: (A) 10 (B) 12 (C) 14 (D) 13 (E) 16
Answer: D
A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item? Answer Choice: (A) 22 % (B) 30% (C) 42 6/7% (D) 70% (E) 130%
Answer: C
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months? Answer Choice: (A) 18:11 (B) 18:16 (C) 18:17 (D) 18:18 (E) 18:12
Answer: A
Find a sum for first 3 prime number'ss? Answer Choice: (A) 25 (B) 10 (C) 15 (D) 12 (E) 36
Answer: B
Father is aged square times more than his son john. After 3 years, he would be three times of John's age. what would be the age of John's Father after 15 years ? Answer Choice: (A) 18 (B) 36 (C) 40 (D) 57 (E) 45
Answer: D
An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/4 (D) 2/5 (E) 3/10
Answer: B
What is the probability that a 4-person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains at least 1 woman? Answer Choice: (A) 11/102 (B) 77/204 (C) 77/102 (D) 91/102 (E) 31/34
Answer: D
The sum of two numbers is 30 and their difference is 10. Find their product. Answer Choice: (A) 104 (B) 108 (C) 114 (D) 325 (E) 200
Answer: E
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? Answer Choice: (A) 4 1/5 Km (B) 4 1/7 Km (C) 3 1/5 Km (D) 3 1/7 Km (E) 3 2/5 Km
Answer: C
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 45% (B) 49% (C) 57% (D) 59% (E) 61%
Answer: C
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.400, find the number of 10 paise coins ? Answer Choice: (A) 914 (B) 714 (C) 718 (D) 724 (E) 814
Answer: B
The decimal d is formed by writing in succession all the positive, even integers in increasing order after the decimal point; that is d = 0.246810121416...
What is the 100th digit of d to the right of decimal point? Answer Choice: (A) 6 (B) 1 (C) 0 (D) 2 (E) 8
Answer: D
The length of the bridge, which a train 120 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 255 (B) 267 (C) 255 (D) 277 (E) 211
Answer: C
The speed of a boat in still water is 65kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) 22 kmph (B) 40 kmph (C) 78 kmph (D) 15 kmph (E) 45 kmph
Answer: E
Two motor cycles were sold for Rs 9,900 each, gaining 10% on one and losing 10% on the other. The gain or loss per cent in the whole transaction is Answer Choice: (A) Neither loss nor gain (B) 1% profit (C) 100/99 % profit (D) 1% loss (E) None of these
Answer: D
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600? Answer Choice: (A) $3,000 (B) $3,150 (C) $4,000 (D) $4,150 (E) $5,000
Answer: A
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 30 days, then together ,all will finish the work in : Answer Choice: (A) 13 1/3 days (B) 12 1/3 days (C) 15 days (D) 12 days (E) 30 days
Answer: D
Merry invested Rs. 8000 in a scheme for 3 years at compound interest rate 7% p.a. How much amount will Merry get on maturity of the fixed deposit? Answer Choice: (A) s.8980 (B) s.9800.34 (C) s.9841 (D) s.8900 (E) s.8820
Answer: B
The number 4 is the smallest positive
integer that has exactly three factors:
1, 2, and 4. If k is the next-highest integer
that also has exactly three factors, what is
the sum of the three factors of k? Answer Choice: (A) 13 (B) 14 (C) 16 (D) 18 (E) 20
Answer: A
A 15 lt mixture contains water with 20% of alcohol.If 5 more lts of water added to the mixture what is the percentage of alcohol? Answer Choice: (A) 10% (B) 15% (C) 20% (D) 25% (E) 30%
Answer: B
Two pipes can fill a tank in 12 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ? Answer Choice: (A) 5.5 Hours (B) 7.5 Hours (C) 8.5 Hours (D) 9.5 Hours (E) 6.5 Hours
Answer: C
A set of 17 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set? Answer Choice: (A) 32 (B) 37 (C) 40 (D) 45 (E) 50
Answer: D
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 140 days, in how many days can R alone complete the remaining work? Answer Choice: (A) 50 days (B) 102.7 days (C) 100 days (D) 150 days (E) 80 days
Answer: B
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of b - a ? Answer Choice: (A) -10 (B) 10 (C) -19 (D) 20 (E) 21
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train? Answer Choice: (A) 382 (B) 782 (C) 278 (D) 270 (E) 220
Answer: E
The successive discounts 20% and 15% are equal to a single discount of? Answer Choice: (A) 22 (B) 27 (C) 32 (D) 997 (E) 232
Answer: C
Find the mean proportional between 25 & 36? Answer Choice: (A) A)59 (B) B)30 (C) C)63 (D) D)65 (E) E)67
Answer: B
What is the units digit of 222^(333)*333^(222)? Answer Choice: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Answer: C
The simple interest on Rs. 26 for 6 months at the rate of 7 paise per rupeeper month is Answer Choice: (A) 1.2 (B) 10.92 (C) 12.98 (D) 12.38 (E) None
Answer: B
1*2+ 2*2^2+ 3*2^3+ 4*2^4……………………+2012*2^2012 Answer Choice: (A) 8100312 (B) 8100313 (C) 8100412 (D) 8200312 (E) 8300312
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) 338 (B) 187 (C) 120 (D) 882 (E) 272
Answer: C
There are 20 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Answer Choice: (A) 10 (B) 30 (C) 190 (D) 60 (E) 90
Answer: C
In a sequence, each term is obtained by adding 7 to the preceding one. If the sum of the first 30 terms is equal to 705, what is the result of the addition of the first 40 terms? Answer Choice: (A) 2000 (B) 2250 (C) 2340 (D) 2400 (E) 2440
Answer: C
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 4 eggs. If the cost of each pound of rice is $0.33, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.] Answer Choice: (A)  0.22 (B)  0.44 (C)  0.55 (D)  22 (E)  55
Answer: D
A cube of side two meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained? Answer Choice: (A) 2878 (B) 2778 (C) 1000 (D) 8000 (E) 8900
Answer: D
Evaluate 926 + 9.026 + 0.926 + 9.0026 Answer Choice: (A) 944.9755 (B) 944.9655 (C) 944.9565 (D) 946.9565 (E) 944.9546
Answer: E
If x is a whole number, then x²(x² - 1) is always divisible by Answer Choice: (A) multiple of 12 (B) 24 (C) 12 - x (D) 12 (E) none
Answer: D
For how many positive integers is the number of positive divisors equal to the number itself ? Answer Choice: (A) none (B) one (C) two (D) three (E) cannot be determined
Answer: B
If the average (arithmetic mean) of x^2, 2x^2, and 3x^2 is 200, what is the value of x? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 20 (E) 25
Answer: A
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 3 terms of the sequence? Answer Choice: (A) 201/100 (B) 99/100 (C) 100/101 (D) 1/10000 (E) 3/4
Answer: E
Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ? Answer Choice: (A) 7/125 (B) 4/125 (C) 4/25 (D) 3/25 (E) 2/25
Answer: E
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is Answer Choice: (A) 5/5 (B) 5/9 (C) 5/21 (D) 5/98 (E) 5/1
Answer: B
Walking at the rate of 3 kmph a man cover certain distance in 6hr 40min. Running at a speed of 18 kmph the man will cover the same distance in. Answer Choice: (A) 40 min (B) 25 min (C) 54 min (D) 65 min (E) 58 min
Answer: C
The organizers of a week-long fair have hired exactly seven security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards will be available to patrol the fairgrounds on the following Saturday night? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Answer: C
If 20 liters of chemical X are added to 80 liters of a mixture that is 30% chemical X and 70% chemical Y, then what percentage of the resulting mixture is chemical X? Answer Choice: (A) 32% (B) 35% (C) 38% (D) 41% (E) 44%
Answer: E