loafeihong/math_mmlu_format huggingface dataset:
There are 21 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 5 (E) 7
Answer: E
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? Answer Choice: (A) 250 (B) 277 (C) 299 (D) 266 (E) 292
Answer: A
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 30 (E) 35
Answer: D
In a firm there are men and cows. In all, there are 21 heads and 64 feet. How many men and how many cows are in the firm? Answer Choice: (A) 8 men and 13 cows. (B) 10 men and 11 cows. (C) 6 men and 15 cows. (D) 5 men and 16 cows. (E) 11 men and 10 cows.
Answer: B
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected? Answer Choice: (A) 8% (B) 12% (C) 16% (D) 20% (E) 24%
Answer: B
If a and b are different positive integers and a + b = a(a + b+1), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) I and III
Answer: C
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings? Answer Choice: (A) $1500 (B) $1600 (C) $1700 (D) $1800 (E) $1900
Answer: D
A is thrice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by B alone to finish the work is : Answer Choice: (A) 64 days. (B) 24 days. (C) 52 days. (D) 35 days. (E) 28 days.
Answer: A
Sunil invested $ 2300 fir 3 years and $ 800 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 1350, what is the rate of interest? Answer Choice: (A) 12 3/4% (B) 15 1/3% (C) 15 1/2% (D) 16% (E) 13 1/4%
Answer: E
A cylindrical water tower with radius 15 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank? Answer Choice: (A) 20 2/7 (B) 90 6/7 (C) 91 (D) 91 3/7 (E) 97
Answer: E
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube? Answer Choice: (A) 16 (B) 12 (C) 17 (D) 15 (E) 71
Answer: B
Thirty five percent of the portfolios managed by the Crocodile Brokers company (C.B.C.) hold Hatsopoulos stocks. Forty percent of the portfolios managed by C.B.C. hold McQuarrie stocks and do not hold Hatsopoulos stocks. Fifteen percent of the portfolios managed by C.B.C. hold Hatsopoulos stocks and do not hold McQuarrie stocks. What percent of the portfolios managed by C.B.C. do NOT hold McQuarrie stocks? Answer Choice: (A) 20 (B) 25 (C) 40 (D) 60 (E) 65
Answer: C
The population of a town increased from 1,75,000 to 2,45,000 in a decade. The average percent increase of population per year is Answer Choice: (A) 4% (B) 5% (C) 6% (D) 8.75% (E) None
Answer: A
Find the value of x from the below equation? : 3x^2+5x+2 = 0 Answer Choice: (A) -1 (B) -2 (C) 1 (D) 2 (E) 3
Answer: A
3 candidates in an election and received 3000, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 45.12% (B) 50% (C) 57% (D) 71.42% (E) 65%
Answer: D
C and D started a business by investing Rs.1000/- and Rs.1500/- respectively. Find the D’s share out of a total profit of Rs.500: Answer Choice: (A) 400 (B) 300 (C) 200 (D) 100 (E) 150
Answer: D
x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 7 will be equal to: Answer Choice: (A) 3 (B) 6 (C) 1/9 (D) 1/3 (E) 9/49
Answer: E
Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 6 years (D) 8 years (E) None
Answer: C
If x,y and z are positive integers, and 30x=35y=42z, then which of the following must be divisible by 3?
I. x
II. y
III. z Answer Choice: (A) I (B) II (C) III (D) I & III (E) I, II & III
Answer: B
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Answer Choice: (A) 13:1 (B) 13:3 (C) 13:8 (D) 13:5 (E) 13:2
Answer: B
The dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milk maid will be obtained from 72 litres of milk? Answer Choice: (A) 2 (B) 7 (C) 6 (D) 9 (E) 8
Answer: D
The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers? Answer Choice: (A) 399 (B) 665 (C) 998 (D) 2771 (E) 22
Answer: B
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, white,blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks? Answer Choice: (A) 12 (B) 15 (C) 21 (D) 36 (E) 28
Answer: E
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house? Answer Choice: (A) 234 (B) 255 (C) 278 (D) 289 (E) 290
Answer: B
11 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be : Answer Choice: (A) 84 m (B) 88 m (C) 14 m (D) 137 m (E) None
Answer: C
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally q% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar? Answer Choice: (A) 100q/(1-q) (B) 80q/(1-q) (C) 75q/(1-q) (D) 100q/(80-0.2q) (E) 100q/(80+0.2q)
Answer: E
A man rows down stream 40 km and upstream 21 km taking 4 hrs each time. what is the velocity of current? Answer Choice: (A) 2.735 Kmph (B) 2.375 kmph (C) 2. 573 kmph (D) 2 kmph (E) None of these
Answer: B
If eight numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7, 8}, what is the probability that the numbers are selected in ascending order? Answer Choice: (A) 1/25600 (B) 1/36240 (C) 1/48360 (D) 1/24120 (E) 1/40320
Answer: E
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on friday. They were very happy. What day of the week would come on 14 Feb. 2010? Answer Choice: (A) monday (B) tuesday (C) sunday (D) wednesday (E) thursday
Answer: E
Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Answer Choice: (A) A) 6.24 (B) B) 8 (C) C) 10 (D) D) 19.1 (E) E) 24
Answer: D
In how many ways can 5 boys and 2girls be arranged at a table if 2girls are never together? Answer Choice: (A) 329 (B) 350 (C) 378 (D) 390 (E) 480
Answer: E
A car covers a distance of 624 km in 3 hours. Find its speed? Answer Choice: (A) 104 (B) 277 (C) 298 (D) 269 (E) 208
Answer: E
A and B can do a piece of work in 50 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed? Answer Choice: (A) 30days (B) 35days (C) 40days (D) 44days (E) 45days
Answer: A
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E. Answer Choice: (A) a) E=48 (B) b) E=144 (C) c) E=240 (D) d) 288 (E) e) 120
Answer: C
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of? Answer Choice: (A) 600km/hr (B) 720km/hr (C) 710km/hr (D) 510km/hr (E) 480km/hr
Answer: B
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 30 Answer Choice: (A) 11 (B) 13 (C) 15 (D) 17 (E) 18
Answer: E
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 8 women and 12 children take to complete the work? Answer Choice: (A) 4 (B) 5 (C) 7 (D) 8 (E) 2
Answer: B
In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race? Answer Choice: (A) 180 sec (B) 190 sec (C) 290 sec (D) 490 sec (E) 240 sec
Answer: E
If d is the standard deviation x, y, and z, what is the standard deviation of x +3, y + 3, z + 3 ? Answer Choice: (A) 3d (B) 3d+3 (C) d (D) 3d+9 (E) 3d-3
Answer: C
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now? Answer Choice: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20
Answer: D
A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $572 less than the sum lent. What was the sum lent? Answer Choice: (A) 1000 (B) 1100 (C) 1200 (D) 1300 (E) 1400
Answer: B
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train? Answer Choice: (A) 87.0 (B) 87.5 (C) 87.2 (D) 87.1 (E) 87.4
Answer: B
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 20 kmph? Answer Choice: (A) 21.21 (B) 20.25 (C) 32.25 (D) 75.75 (E) 62.61
Answer: D
6, 11, 21, 36, 56, ? Answer Choice: (A) 51 (B) 71 (C) 81 (D) 61 (E) 91
Answer: C
Salaries of A, B and C were in the ratio 3 : 5 : 7 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of their respective salaries? Answer Choice: (A) 4 : 5 : 7 (B) 3 : 6 : 7 (C) 4 : 15 : 18 (D) 9 : 16 : 21 (E) 8 : 16 : 21
Answer: D
How many terms are there in 2, 4, 8, 16,..., 2048? Answer Choice: (A) 14 (B) 11 (C) 12 (D) 10 (E) 8
Answer: B
Which of the following is the product of two integers whose sum is 12? Answer Choice: (A)  -42 (B)  -28 (C)  12 (D)  26 (E)  32
Answer: B
In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by? Answer Choice: (A) 4 (B) 8 (C) 1 (D) 1/8 (E) 1/64
Answer: A
Mrs. Napier has 38 stickers to give to 5 students for a reward. How many
stickers will each student get? Will there be any stickers left over? Answer Choice: (A) 2-5 (B) 2-4 (C) 7-6 (D) 2-3 (E) 2-8
Answer: C
If 3<x<6<y<8, then what is the greatest possible positive integer difference of x and y? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
Two Copiers are being used to produce 2400 copies of a 1-page document. One Copier runs at 150% of the speed of the other. How many copies should be made on the faster copier so that both copiers will finish the same time? Answer Choice: (A) 1240 (B) 1440 (C) 1340 (D) 1540 (E) 1640
Answer: B
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 290 lbs, how much does substance x weigh? Answer Choice: (A) 48 (B) 36 (C) 24 (D) 52 (E) 60
Answer: E
When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice? Answer Choice: (A) 36/625 (B) 48/625 (C) 64/625 (D) 98/625 (E) 128/625
Answer: E
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. The marks obtained by them are Answer Choice: (A) 42,30 (B) 42,31 (C) 42,32 (D) 42,33 (E) None of these
Answer: D
12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour. Answer Choice: (A) 28 (B) 77 (C) 42. (D) 99 (E) 17
Answer: C
Find a sum for first 5 prime number's? Answer Choice: (A) 24 (B) 28 (C) 30 (D) 32 (E) 34
Answer: B
The number of new words that can be formed by rearranging the letters of the word 'OF' is Answer Choice: (A) 5 (B) 8 (C) 1 (D) 3 (E) 4
Answer: C
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 15 km/hr and reaches school 1 hour early. What is the distance between his house and the school? Answer Choice: (A) 60 (B) 70 (C) 80 (D) 90 (E) 100
Answer: D
How many positive integers less than 7,000 are there in which the sum of the digits equals 5? Answer Choice: (A) 52 (B) 54 (C) 56 (D) 58 (E) 60
Answer: C
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 1 year? Answer Choice: (A) 3277 (B) 2977 (C) 30000 (D) 6077 (E) 17112
Answer: C
For integers x, y, and z, if (3^x) (4^y) (5^z) = 13,107,200,000 and x + y + z = 16, what is the value of xy/z? Answer Choice: (A) undefined (B) 0 (C) 3 (D) 5 (E) 7
Answer: B
A does a work in 20 days and B does the same work in 30 days. In how many days they together will do the same work ? Answer Choice: (A) 5 days (B) 6 days (C) 9 days (D) 12 days (E) None of these
Answer: D
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 246 (B) 240 (C) 88 (D) 76 (E) 121
Answer: B
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.6 per sq m? Answer Choice: (A) 675, Rs.1350 (B) 575, Rs.1350 (C) 1350, Rs.675 (D) 1450, Rs.775 (E) 675, Rs.4050
Answer: E
If 4 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? Answer Choice: (A) 10:5:5 (B) 10:5:8 (C) 10:5:2 (D) 10:5:4 (E) 10:5:1
Answer: D
Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 200 square feet. How many feet offence does Frank use? Answer Choice: (A) 14 (B) 47 (C) 50 (D) 180 (E) 240
Answer: C
If n is an even negative integer, which of the following must then be an odd positive integer? Answer Choice: (A) 2n (B) -2n + 1 (C) -(n^2) (D) 2n - 1 (E) n^3
Answer: B
A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale? Answer Choice: (A) $14 (B) $2 (C) $10 (D) $6 (E) $8
Answer: A
There were two clock one is getting slow by two minutes/hr and another one is gaining 1 minute every hour and exactly after how many hours there two clock has a 1hr difference. Answer Choice: (A) 10 Hours (B) 15 Hours (C) 20 Hours (D) 25 Hours (E) 28 Hours
Answer: C
Jerry left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change? Answer Choice: (A) 40 (B) 200 (C) 266 (D) 267 (E) 600
Answer: D
Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at random from the shelf, reads it in the library, and then returns it to the shelf. Then he again chooses 1 book at random from the shelf and checks it out in order to read at home. What is the probability Ricardo reads 1 book on mathematics and 1 on chemistry? Answer Choice: (A) 3% (B) 6% (C) 12% (D) 20% (E) 24%
Answer: C
A number increased by 20% gives 600. The number is Answer Choice: (A) 250 (B) 400 (C) 450 (D) 500 (E) 520
Answer: D
.
On dividing a number by 357, we get 38 as remainder. On dividing the same number 17, what will be the remainder ? Answer Choice: (A) 0 (B) 3 (C) 4 (D) 8 (E) 11
Answer: C
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 18 years(the child was born during the interval). What is the present age of the child? Answer Choice: (A) 13 years (B) 9 years (C) 6 years (D) 4 years (E) 5 years
Answer: A
There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number? Answer Choice: (A) 9^2 (B) 7^3 (C) 10^8 (D) 11^9 (E) 12^3
Answer: C
Let y = 2m + x^2 and m = 5x + 1.
If m^2 = 36, then which of the following can be a value of 2y + 3m? Answer Choice: (A) 100 (B) 130 (C) 141 (D) 142 (E) 44
Answer: E
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: A
Find two numbers whose sum is 26 and whose product is 165. Answer Choice: (A) 11 and 12 (B) 11 and 13 (C) 11 and 15 (D) 11 and 16 (E) 11 and 19
Answer: C
Pure milk costs 3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. How many litres of water does he add? Answer Choice: (A) 2 litres (B) 5 litres (C) 7 litres (D) 11 litres (E) None of these
Answer: B
If y = x^2 + mx + n, y is minimum when x is: Answer Choice: (A) m/n (B) -m/n (C) -m/2 (D) -n/2 (E) n/m
Answer: C
Find the value of 3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Answer Choice: (A) 800 (B) 500 (C) 900 (D) 1600 (E) 2400
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent? Answer Choice: (A) 2% (B) 25% (C) 22% (D) 17.65% (E) 45%
Answer: D
The sale price sarees listed for Rs.340 after successive discount is 20% and 15% is? Answer Choice: (A) 298 (B) 231 (C) 342 (D) 876 (E) 291
Answer: B
If 2|2 –w| = 5, what is the sum of all the possible values for w ? Answer Choice: (A) 1/2 (B) 2 (C) 5/2 (D) 4 (E) 5
Answer: D
Factor: 16w3 – u4w3 Answer Choice: (A) w3(4 + u2)(2 + u)(2 + u) (B) w3(4 + u2)(2 - u)(2 + u) (C) w3(4 + u2)(2 + u)(2 - u) (D) w3(4 - u2)(2 + u)(2 - u) (E) w3(4 + u2)(2 - u)(2 - u)
Answer: C
Let the polynomials be:
P1(x)=3x2−7x+5,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= Answer Choice: (A) 2x2 + 11x - 7 (B) -2x2 - 11x + 7 (C) -2x2 - 11x + 6 (D) 2x2 - 9x + 7 (E) None of these
Answer: B
5^100 is divided by 18. Then what is the remainder? Answer Choice: (A) 10 (B) 11 (C) 13 (D) 15 (E) 16
Answer: C
If an investor puts $1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year? Answer Choice: (A) $1100.25 (B) $1100.75 (C) $1101.25 (D) $1101.75 (E) $1102.50
Answer: E
A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? Answer Choice: (A) 3/0 (B) 3/1 (C) 3/4 (D) 3/8 (E) 3/40
Answer: C
If x is real, find the maximum value of the expression -2x^2 + 11x + 13. Answer Choice: (A) 16.125 (B) 20.125 (C) 24.125 (D) 28.125 (E) 32.125
Answer: D
A family of 7 queue to get ice cream from a an ice cream van. What is the probability that the father will be standing right in front of the mother in the queue? Answer Choice: (A)  5% (B)  10% (C)  15% (D)  21% (E)  25%
Answer: D
Find the area of trapezium whose parallel sides are 24 cm and 18 cm long, and the distance between them is 15 cm. Answer Choice: (A) 227 (B) 299 (C) 315 (D) 161 (E) 212
Answer: C
In a group of 800 people, 3/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument? Answer Choice: (A) 2/125 (B) 12/25 (C) C)2/25 (D) 3/25 (E) 1/5
Answer: B
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 5 years is Answer Choice: (A) s.9621 (B) s.6921 (C) s.10210 (D) s.6261 (E) s.6361
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is: Answer Choice: (A) 3 : 1 (B) 3 : 2 (C) 3 : 8 (D) 3 : 25 (E) 1 : 4
Answer: E
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Answer Choice: (A) 1 (B) 8 (C) 2 (D) 7 (E) 4
Answer: B
Working alone, machine X can manufacture 1,200 nails in 12 hours. Working together, machines X and Y can manufacture 1,200 nails in 6 hours. How many hours does it take machine Y to manufacture 1,200 nails working alone? Answer Choice: (A) 3 9/17 (B) 5 1/3 (C) 7 (D) 10 1/5 (E) 12
Answer: E
A store sells seven different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: A
In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password? Answer Choice: (A) 720 (B) 864 (C) 900 (D) 936 (E) 1,296
Answer: D
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed? Answer Choice: (A) 83.39% (B) 83.83% (C) 83.93% (D) 82.33% (E) 83.33%
Answer: E
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get? Answer Choice: (A) 2400 (B) 2499 (C) 2779 (D) 2729 (E) 2791
Answer: A
10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants. Answer Choice: (A) 5000 (B) 6000 (C) 7000 (D) 8000 (E) None of these
Answer: B
A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf? Answer Choice: (A) 2/35 (B) 1/15 (C) 6/35 (D) 13/70 (E) 1/5
Answer: C
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is Answer Choice: (A) 2/13 (B) 4/13 (C) 1/13 (D) 1/52 (E) None
Answer: B
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is? Answer Choice: (A) 5 (B) 6 (C) 8 (D) 4 (E) 1
Answer: A
the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Alice and not next Ann? Answer Choice: (A) 1/6 (B) 11/12 (C) 11/144 (D) 1/12 (E) 1/144
Answer: C