loafeihong/math_mmlu_format huggingface dataset:
a is an integer greater than 39 but less than 51, b is an integer greater than 49 but less than 61, what is the range of a/b? Answer Choice: (A) 1/4 (B) 1/3 (C) 3/4 (D) 1 (E) 5/4
Answer: B
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price, in terms of G, at the end of the three weeks? Answer Choice: (A) 0.95G (B) 1G (C) 1.05G (D) 1.1G (E) 1.15G
Answer: C
A sum of money deposited at C.I. amounts to Rs.2442 in 2 years and to Rs.2926 in 3 years. Find the rate percent? Answer Choice: (A) 11 (B) 20 (C) 28 (D) 24 (E) 82
Answer: B
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) 2408 (C) 24028 (D) 24128 (E) 2121
Answer: A
On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 4),
what is the maximum possible area of C? Answer Choice: (A)  6 (B)  9 (C)  24 (D)  32 (E)  64
Answer: B
Roger can read a book in k minutes. What part of the book can he read in 7 minutes? (k>8) Answer Choice: (A) 8+k (B) k/8 (C) 7/k (D) (k+ 8)/k (E) (k-8) / k
Answer: C
If n = 2×3×5×7×11×13×16, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even Answer Choice: (A) I only (B) II only (C) III only (D) I and III (E) None of the above
Answer: D
The average monthly salary of 20 employees in an organisation is Rs. 1400. 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) 3600 (B) 3890 (C) 88798 (D) 2789 (E) 3500
Answer: E
Judges will select 5 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible? Answer Choice: (A) 10 (B) 21 (C) 210 (D) 420 (E) 560
Answer: E
Let f(x) = 3x2+2x+6. Two distinct lines l1 and l2 exist that are tangent to f(x) and intersect
at the origin. Given that l1 is tangent to f(x) at (x1; f(x1)) and that l2 is tangent to f(x) at
(x2; f(x2)), compute x1x2. Answer Choice: (A) -1 (B) -2 (C) -3 (D) -4 (E) -5
Answer: B
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary? Answer Choice: (A) 2888 (B) 1266 (C) 1000 (D) 2779 (E) 2661
Answer: C
A certain taxi company charges $3.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long? Answer Choice: (A) 15.6 (B) 16.0 (C) 17.5 (D) 18.7 (E) 19.1
Answer: E
B alone can do piece of work in 10 days. A alone can do it in 15 days. If the total wages for the work is Rs 5000, how much should B be paid if they work together for the entire duration of the work? Answer Choice: (A) 267 (B) 7 (C) 76 (D) 8 (E) 82
Answer: A
Find the value of y from the given equation. 9^y = 3^12, what is y? Answer Choice: (A) 3 (B) 5 (C) 7 (D) 8 (E) 6
Answer: E
If x and y are both odd prime numbers and x < y, how many distinct positive integer T factors does 2xy have? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12
Answer: D
If each of 4 subsidiaries of Corporation R has been granted a line of credit of $464,800 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R? Answer Choice: (A)  $1,568,000 (B)  $448,000 (C)  $406,000 (D)  $313,600 (E)  $116,000
Answer: D
A bag contains 40 black balls and 40 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 2/5 (B) 5/7 (C) 1/2 (D) 1/4 (E) 1/3
Answer: C
At 9:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 2:00 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) 4:00 p.m. (B) 5:00 p.m. (C) 6:00 p.m. (D) 7:00 p.m. (E) 8:00 p.m.
Answer: D
If a jury of 12 people is to be selected randomly from a pool of 15 potential jurors, and the jury pool consists of 2/3 men and 1/3 women, what is the probability that the jury will comprise at least 2/3 men? Answer Choice: (A) 24/91 (B) 45/91 (C) 2/3 (D) 67/91 (E) 84/91
Answer: D
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 1 hours, how many machines of type R were used? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 9 (E) 12
Answer: E
A company produces 60000 bottles of water everyday. If a case can hold 5 bottles of water .How many cases are required by the company to hold its one day production Answer Choice: (A) 12000 (B) 4500 (C) 5000 (D) 8000 (E) 9000
Answer: A
What is the average (arithmetic mean) of all the multiples of ten from 10 to 160 inclusive? Answer Choice: (A) 90 (B) 95 (C) 70 (D) 105 (E) 110
Answer: C
Vijay's salary is Rs. 21,600 per month. In the first month of the year, he spends 30% of his income on clothing, 20% of the remaining on entertainment and some percentage of the remaining on food. He saves of the amount he spends. Find the percentage of spending on food as a percentage of saving. Answer Choice: (A) 180% (B) 124% (C) 160% (D) 154% (E) 140%
Answer: B
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is? Answer Choice: (A) 2 years (B) 6 years (C) 7 years (D) 9 years (E) 4 years
Answer: A
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning? Answer Choice: (A) 3238 (B) 2667 (C) 4400 (D) 2977 (E) 2712
Answer: C
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is? Answer Choice: (A) 24029 (B) 24000 (C) 24028 (D) 24014 (E) 24012
Answer: B
A cistern has a leak which empty it in 8 hrs, A tap is turned on which admits 6 liters a minute into the cistern, and it is now emptied in 12 hours, How many liters does the cistern hold ? Answer Choice: (A) 8640 (B) 8740 (C) 8840 (D) 8540 (E) 8940
Answer: A
In a contest, a bowl contains 20 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize? Answer Choice: (A) 2/39 (B) 3/40 (C) 1/40 (D) 1/20 (E) 1/10
Answer: E
60% of a number is added to 180, the result is the same number. Find the number? Answer Choice: (A) 300 (B) 277 (C) 266 (D) 99 (E) 450
Answer: E
Kanul spent $5000 in buying raw materials, $200 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount? Answer Choice: (A) $7456.00 (B) $7500.55 (C) $7428.57 (D) $7852.56 (E) $7864.00
Answer: C
There are n 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) n(n-1) (B) n(n+1) (C) n(n-1)/2 (D) n(n+1)/2 (E) n2
Answer: A
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 16 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix? Answer Choice: (A) 1/10 (B) 13/50 (C) 1/2 (D) 7/10 (E) 9/10
Answer: B
A jeep takes 8 hours to cover a distance of 280 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 28 Kmph (B) 52 Kmph (C) 20 Kmph (D) 23 Kmph (E) 65 Kmph
Answer: D
If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage? Answer Choice: (A) 3xw (B) 3w/x (C) w/(3x) (D) xw/3 (E) x/(3w)
Answer: E
If k is an integer and 0.00010101 x 10^k is greater than 10, what is the least possible value of k? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
The number of positive integers n in the range 12 ≤ n ≤ 40 such that the product
(n − 1)(n − 2)...3.2.1 is not divisible by n is Answer Choice: (A) 5 (B) 7 (C) 13 (D) 14 (E) 16
Answer: B
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages? Answer Choice: (A) 48 years (B) 52 years (C) 56 years (D) Cannot be determined (E) None of these
Answer: A
If n = 7p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ? Answer Choice: (A)  Two (B)  Three (C)  Four (D)  Six (E)  Eight
Answer: E
What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 60%? Answer Choice: (A) 150% (B) 160% (C) 156% (D) 158% (E) 162%
Answer: C
Usha took a loan of Rs. 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 375 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: B
If q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of q ? Answer Choice: (A)  10 (B)  12 (C)  14 (D)  16 (E)  18
Answer: C
What is the greatest prime factor of 3^6 - 1 ? Answer Choice: (A) 2 (B) 3 (C) 7 (D) 13 (E) 17
Answer: D
What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6 Answer Choice: (A) 2/5 (B) 3/5 (C) 1/6 (D) 1/7 (E) None of these
Answer: C
A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy? Answer Choice: (A) 100 m, 15 (B) 100 m, 16 (C) 120 m, 15 (D) 120 m, 16 (E) None
Answer: D
A, B and C have Rs.600 between them, A and C together have Rs.250 and B and C Rs.450. How much does C have? Answer Choice: (A) 70 (B) 90 (C) 120 (D) 100 (E) 140
Answer: D
P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is R's share? Answer Choice: (A) 108 (B) 120 (C) 134 (D) 144 (E) None of these
Answer: A
In a shop certain saree was marked down 10% the first week and another 10% the next week. What percent of the regular price was the final cost of the saree after the two markdowns? Answer Choice: (A) 30% (B) 36% (C) 40% (D) 60% (E) 81%
Answer: E
If x is an integer and 2.134 × 10^x is less than 220,000, what is the greatest possible value for x? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: C
A circle in the coordinate plane passes through points (-3, -2) and (-1, 4). What is the smallest possible area of that circle? Answer Choice: (A) 13π (B) 26π (C) 10π (D) 52π (E) 64π
Answer: C
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Answer Choice: (A) 40 m (B) 60 m (C) 70 m (D) 80 m (E) 90 m
Answer: B
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was Answer Choice: (A) 344 (B) 218 (C) 200 (D) 388 (E) 211
Answer: C
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Answer Choice: (A) 22 sec (B) 77 sec (C) 76 sec (D) 20 sec (E) 66 sec
Answer: D
The mean of set A does not exceed mean of any subset of set A. Which of the following must be true about set A?
I. Set A contains only one element
II. All elements in set A are equal
III. The median of set A equals the mean of set A Answer Choice: (A) of the three qualities is necessary (B) II only (C) III only (D) II and III only (E) I, II, and III
Answer: D
Given two sets X = {1,1,4,4,3,3} and Y = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number Answer Choice: (A) 1/2 (B) 1/6 (C) 1/5 (D) 1/7 (E) 1/8
Answer: A
If m+n gives remainder as 8 and m-n gives remainder as 6 when both are divide by 12, what is the remainder when m*n is divided by 6? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
Mary works in a restaurant a maximum of 80 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week? Answer Choice: (A) 600 (B) 720 (C) 760 (D) 620 (E) 700
Answer: C
Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit? Answer Choice: (A) 5 (B) 25 (C) 50 (D) 55 (E) 65
Answer: D
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 850 meters in length? Answer Choice: (A) 28 (B) 27 (C) 55 (D) 18 (E) 67.7
Answer: E
If q is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 6 (E) 12
Answer: C
A cricket bat is sold for $850, making a profit of $225. The profit percentage would be Answer Choice: (A) 24% (B) 25% (C) 30% (D) 36% (E) 40%
Answer: D
What is the 8th term in this sequence?
2,3,5,16,27,43,76 Answer Choice: (A) 127 (B) 125 (C) 178 (D) 124 (E) 121
Answer: B
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is Answer Choice: (A) 37 (B) 29 (C) 27 (D) 48 (E) 22
Answer: D
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 9
Answer: A
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent? Answer Choice: (A) 23% (B) 10% (C) 32% (D) 98% (E) 31%
Answer: B
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 7 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car? Answer Choice: (A) 7/4 (B) 4/3 (C) 15/4 (D) 10/3 (E) 64/21
Answer: E
If 'a' and 'b' are non-zero numbers such that their sum is six times the product, what is the value of 1/a + 1/b? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 12
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 multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 270, then the least and greatest integer on the card would be Answer Choice: (A) 3 and 15 (B) 3 and 20 (C) 4 and 13 (D) 4 and 16 (E) 5 and 14
Answer: D
The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed two times, what is the probability that the coin turns up tails on at least one of the tosses? Answer Choice: (A) 1/4 (B) 3/4 (C) 3/8 (D) 5/8 (E) 7/8
Answer: B
How many times thekeys of a writter have to bepressed in order to write first 400 counting no's? Answer Choice: (A) 900 (B) 980 (C) 1000 (D) 1092 (E) 1200
Answer: D
Lakshmi went to the stationers and bought things worth Rs. 200, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 20%. then what was the cost of the tax free items? Answer Choice: (A) Rs. 197 (B) Rs. 190 (C) Rs. 187 (D) Rs. 167 (E) Rs. 191
Answer: A
A manufacturer sells a pair of watches 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 $30.09, there by earning a profit of 25%. The cost price for the manufacturer is: Answer Choice: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20
Answer: B
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 42 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? Answer Choice: (A) 3% (B) 5% (C) 8% (D) 9% (E) 12%
Answer: D
If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? Answer Choice: (A) 118 km (B) 162 km (C) 1767 km (D) 432 km (E) 177 km
Answer: D
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Answer Choice: (A) 11 1/8 min (B) 11 1/4 min (C) 11 8/4 min (D) 11 1/9 min (E) 11 3/4 min
Answer: B
A board 4ft. 9 inches long is divided into 3 equal parts . What is the length of each part? Answer Choice: (A) 5ft. 7 inches (B) 3ft. 7 inches (C) 4ft. 7 inches (D) 2ft. 7 inches (E) 1ft. 7 inches
Answer: E
Jerry went to a shop and bought things worth Rs. 20, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 14 (B) 14.7 (C) 21.3 (D) 21.5 (E) 21.7
Answer: B
{330, 380, 350, n}
Which of the following could be the median of the 4 integers listed above?
I. 340
II. 350
III. 375 Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III
Answer: C
A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible? Answer Choice: (A) 12 (B) 18 (C) 24 (D) 36 (E) 48
Answer: C
Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Answer Choice: (A) 1/8 (B) 1/4 (C) 1/2 (D) 1/4 (E) 1/4
Answer: C
A walks at 30 kmph and 30 hours after his start, B cycles after him at 40 kmph. How far from the start does B catch up with A? Answer Choice: (A) 1200km (B) 1500km (C) 2000km (D) 2500km (E) 3600km
Answer: D
A reduction of 30% in the price of salt enables a lady to obtain 10kgs more for Rs.200, find the original price per kg? Answer Choice: (A) 7.5 (B) 8.99 (C) 8.0 (D) 9.2 (E) 8.57
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) 3 1/5 Km (B) 3 1/7 Km (C) 4 1/5 Km (D) 4 1/7 Km (E) 5 km
Answer: A
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration C of the acid in the mixture? Answer Choice: (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/6 (E) 1/5
Answer: D
A channel provider give 2/3 part is movie channel and sport channel is 2 times grater than news channel.news channel is five more than entertainment channel.if entertainment channel is 10.then calculate total no. of channel. Answer Choice: (A) 165 (B) 130 (C) 225 (D) 286 (E) 175
Answer: A
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 45% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ? Answer Choice: (A) 714,240 (B) 2,261,760 (C) 2,052,413 (D) 3,690,240 (E) 3,915,790
Answer: C
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 11 percent of revenues. The profits in 2009 were what percent of the profits in 2008? Answer Choice: (A) 80% (B) 105% (C) 88% (D) 124.2% (E) 138%
Answer: C
Jane covered a distance of 360 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour? Answer Choice: (A) 2 hours 30 minutes (B) 4 hours (C) 2 hours (D) 1 hour 45 minutes (E) None of these
Answer: B
225, or 15^2, is the first perfect square that begins with two 2s. What is the sum of the digits of the next perfect square to begin with two 2s? Answer Choice: (A) 9 (B) 12 (C) 13 (D) 14 (E) 17
Answer: C
In a T.V. factory, an average of 61TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ? Answer Choice: (A) 35 (B) 39 (C) 48 (D) 50 (E) 43
Answer: E
The simple interest on Rs. 23 for 3 months at the rate of 5 paise per rupeeper month is Answer Choice: (A) 3.45 (B) 4.5 (C) 2.25 (D) 3.21 (E) None
Answer: A
If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days? Answer Choice: (A) 88 kg (B) 65 kg (C) 72 kg (D) 44 kg (E) 55 kg
Answer: C
If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is? Answer Choice: (A) 2:1 (B) 2:8 (C) 2:9 (D) 2:5 (E) 2:2
Answer: A
What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19? Answer Choice: (A) 14.2 (B) 16.5 (C) 17 (D) 17.5 (E) 18
Answer: C
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most Answer Choice: (A) 200 (B) 215 (C) 220 (D) 230 (E) 240
Answer: B
Of the three-digit integers greater than 800, how many have distinct digits ? Answer Choice: (A)  90 (B)  82 (C)  80 (D)  45 (E)  36
Answer: B
How many terms of the arithmetic series 24 21 18 15 g + + + + , be taken continuously so that their sum is – 351 Answer Choice: (A) 26 (B) 21 (C) 9 (D) 10 (E) 17
Answer: A
In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If John plays this game against 22 other players, what is the probability of the minimum score that will guarantee John some monetary payoff? Answer Choice: (A) 41/50 (B) 1/216 (C) 1/221 (D) 1/84 (E) 1/42
Answer: B
Data sufficiency question:
If solution (x) with alcohol (14%) and solution (y) with alcohol (20%) mixed together to form 24 liters of mixture. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 3
Answer: A
The probability that a number selected at random from the first 50 natural numbers is a composite number is? Answer Choice: (A) 157 (B) 197 (C) 152 (D) 1518 (E) 112
Answer: D
Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that
work in : Answer Choice: (A) 6 days (B) 4 days (C) 12 days (D) 3 days (E) 8 days
Answer: D