loafeihong/math_mmlu_format huggingface dataset:
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test? Answer Choice: (A) 768 (B) 243 (C) 246 (D) 264 (E) 224
Answer: D
A scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400feet below the sea level..how long will he take to reach the ship? Answer Choice: (A) 200 minutes (B) 240 minutes (C) 220 minutes (D) 210 minutes (E) 77 minutes
Answer: A
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $320,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment? Answer Choice: (A) $1,333 (B) $1,733 (C) $3,466 (D) $13,333 (E) $20,796
Answer: A
Find the next number in this Sequence and solve this thinking riddle.
6 14 36 98 ? Answer Choice: (A) 120 (B) 200 (C) 398 (D) 276 (E) 490
Answer: D
A and B can complete a work in 15days and 10day. They started doing the work together but after 2days B had to leave and A alone completed the remaining work. The whole work was completed in? Answer Choice: (A) 10days (B) 12days (C) 15days (D) 8days (E) 16days
Answer: B
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth? Answer Choice: (A) 39 (B) 24 (C) 22 (D) 20 (E) 18
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Answer Choice: (A) 23.56 (B) 23.59 (C) 23.55 (D) 23.53 (E) 23.57
Answer: E
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate? Answer Choice: (A) Rs.256.20 (B) Rs.256.08 (C) Rs.256.02 (D) Rs.256.34 (E) Rs.256.25
Answer: E
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is: Answer Choice: (A) 16 hours (B) 18 hours (C) 20 hours (D) 24 hours (E) 26 hours
Answer: D
A lamp is put on one corner of a square plot of side 50m. It's light reaches 21m. Find the area of that plot that is lit by that lamp? Answer Choice: (A) 248 (B) 312.5 (C) 346.5 (D) 392.5 (E) 424
Answer: C
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 3 professor, how many ways can this committee be formed? Answer Choice: (A) 36 (B) 60 (C) 72 (D) 80 (E) 100
Answer: A
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/5 for each additional day. How much does a vacation of b days cost, where b > 1. Answer Choice: (A) (ab+4a)/2 (B) (ab+8a)/5 (C) (ab+4a)/5 (D) (ab+4a)/3 (E) (ab+a)/5
Answer: C
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Answer Choice: (A) 3.6 (B) 7.2 (C) 8.4 (D) 10 (E) 8
Answer: B
In one can of mixed nuts, 50% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts? Answer Choice: (A) 46 2/3% (B) 20% (C) 25% (D) 33 1/3% (E) 35%
Answer: A
A set of 12 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) 43 (E) 50
Answer: C
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 230 (B) 225 (C) 245 (D) 238 (E) 236
Answer: B
Evaluate 24.39 + 562.093 + 35.96 Answer Choice: (A) 631.344 (B) 622.443 (C) 623.434 (D) 632.423 (E) 632.443
Answer: B
In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win. Answer Choice: (A) 1/140 (B) 1/180 (C) 11/24 (D) 10/15 (E) 57/120
Answer: C
Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are: Answer Choice: (A) 7, 6 (B) 5, 1 (C) 6, 3 (D) 8, 7 (E) None of these
Answer: C
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1300. What is the gain or loss in percentage? Answer Choice: (A) 10% (B) 21% (C) 25% (D) 23% (E) None of these
Answer: D
A password of a computer used six digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero? Answer Choice: (A) 1/64 (B) 1/16 (C) 1/8 (D) 2/5 (E) 1/2
Answer: A
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car? Answer Choice: (A) 79 kmph (B) 85 kmph (C) 34 kmph (D) 23 kmph (E) 14 kmph
Answer: B
Y and Z are in a relay race. Y runs the first leg of the course in 58 seconds. Z runs the second leg of the course in 26 seconds. What was the average time they took to run a leg of the course? Answer Choice: (A) 39 (B) 40 (C) 41 (D) 42 (E) 43
Answer: D
Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 12
Answer: D
A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last? Answer Choice: (A) 13 1/3 (B) 12 1/3 (C) 38 (D) 36 (E) 12 3/4
Answer: C
An outlet pipe can empty 2/3 rd of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied? Answer Choice: (A) 1/3 (B) 4/3 (C) 4/2 (D) 4/8 (E) 4/1
Answer: A
Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 1512x is the cube of a positive integer? Answer Choice: (A) 7 (B) 14 (C) 28 (D) 35 (E) 49
Answer: E
Which one of the given numbers is divisible by 11? Answer Choice: (A) 4823718 (B) 8423718 (C) 8432718 (D) 4831728 (E) 4852718
Answer: D
How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Answer Choice: (A) 482 (B) 1205 (C) 992 (D) 837 (E) 923
Answer: B
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king? Answer Choice: (A) 2/9 (B) 3/11 (C) 4/13 (D) 4/11 (E) 5/12
Answer: C
On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane? Answer Choice: (A) 12 (B) 15 (C) 120 (D) 224 (E) 240
Answer: C
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is? Answer Choice: (A) 39yr (B) 42yr (C) 45yr (D) 32yr (E) 50yr
Answer: A
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers? Answer Choice: (A) 180 (B) 288 (C) 276 (D) 288 (E) 212
Answer: A
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 363 sq m, then what is the breadth of the rectangular plot? Answer Choice: (A) 11 (B) 17 (C) 18 (D) 101 (E) 1322
Answer: A
A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale? Answer Choice: (A) $98.5 (B) $97.25 (C) $48.75 (D) $97.50 (E) $95
Answer: D
A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A. Answer Choice: (A) $1200 (B) $1300 (C) $1400 (D) $1500 (E) $1600
Answer: C
How many halves are there in nine-fourth? Answer Choice: (A) 8 (B) 4.5 (C) 3.2 (D) 7 (E) 3
Answer: B
The sale price sarees listed for Rs.278 after successive discount is 18% and 19% is? Answer Choice: (A) 321 (B) 276 (C) 342 (D) 265 (E) 198
Answer: E
The unit digit in the product 784*618*917*463 is? Answer Choice: (A) 3 (B) 2 (C) 4 (D) 5 (E) 6
Answer: B
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 5 or 12? Answer Choice: (A) 17/30 (B) 2/5 (C) 7/15 (D) 4/15 (E) 11/30
Answer: D
21 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. Answer Choice: (A) 22 (B) 21 (C) 44 (D) 45 (E) 46
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 288 (B) 492 (C) 877 (D) 278 (E) 178
Answer: B
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Answer Choice: (A) 28% (B) 40% (C) 64.8% (D) 70% (E) 72%
Answer: E
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 10.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1? Answer Choice: (A) $0.50 (B) $1.00 (C) $1.25 (D) $1.50 (E) $1.75
Answer: D
Joe bought a concert ticket for a 40% off the original price. If the ticket cost him $46.35, what is the original selling price of the ticket? Answer Choice: (A) $115.88 (B) $77.25 (C) $64.89 (D) $74.16 (E) None of these.
Answer: B
How many odd integers between 200 and 600 are there such that their tens digit is even? Answer Choice: (A) 20 (B) 25 (C) 100 (D) 150 (E) 200
Answer: C
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Answer Choice: (A) 8 1/3 (B) 8 1/6 (C) 8 1/2 (D) 8 1/9 (E) 8 1/4
Answer: A
If the area of a circle is 49pi square feet, find its circumference. Answer Choice: (A) 14 pi feet (B) 28 pi feet (C) 38 pi feet (D) 48 pi feet (E) 58 pi feet
Answer: A
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by how much ? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 30 (E) 60
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train? Answer Choice: (A) 187 m (B) 278 m (C) 876 m (D) 200 m (E) 267 m
Answer: D
J is 25% less than P and 20% less than T. T is q% less than P. What is the value of q? Answer Choice: (A) 93.5 (B) 90 (C) 6.75 (D) 6.25 (E) 2
Answer: D
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8587 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) 7297 (B) 2977 (C) 2871 (D) 6925 (E) 2981
Answer: D
let S is a set of all natural numbers less than 120 such that HCF of any element in S and 120 is 1. Find the sum of all elements in S? Answer Choice: (A) 1584 (B) 7640 (C) 5640 (D) 7240 (E) 6780
Answer: A
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Answer Choice: (A) Rs.8082 (B) Rs.7800 (C) Rs.8100 (D) Rs.8112 (E) Rs.9000
Answer: D
Calculate 12351 ÷ ? = 69 Answer Choice: (A) 179 (B) 119 (C) 129 (D) 173 (E) 156
Answer: A
find remainder when (10^3+9^3)^1000 divided by 12^3 Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph? Answer Choice: (A) 17 sec (B) 21 sec (C) 25 sec (D) 27 sec (E) 29 sec
Answer: D
Evaluate: 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025 Answer Choice: (A) 6819.59775 (B) 7336.03775 (C) 6918.59775 (D) 6198.59775 (E) 6891.59775
Answer: B
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? Answer Choice: (A) 2387 (B) 1298 (C) 1128 (D) 1237 (E) 1200
Answer: E
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 24 (E) 30
Answer: E
When a Laptop is sold for Rs. 49,000, the owner loses 30%. At what price must that Laptop be sold in order to gain 30%? Answer Choice: (A) 87000 (B) 88000 (C) 89000 (D) 90000 (E) 91000
Answer: E
Find the cost of fencing around a circular field of diameter 16 m at the rate of Rs.3 a meter? Answer Choice: (A) 150.84 (B) 160.6 (C) 150.45 (D) 160.99 (E) 180.4
Answer: A
The difference between simple interest and compound interest on Rs.1400 for one year at 20% per annum reckoned half-yearly is: Answer Choice: (A) $185.63 (B) $852.36 (C) $875.5 (D) $989.9 (E) $875.8
Answer: D
Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ? Answer Choice: (A) 20% (B) 30% (C) 50% (D) 40% (E) 60%
Answer: C
In Town P, 60 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town P are females? Answer Choice: (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%
Answer: A
Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded? Answer Choice: (A) 6 (B) 7 (C) 12 (D) 16 (E) 24
Answer: C
If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 750, how many terms that are smaller than 625 are there in the sequence? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 12 (E) 3
Answer: E
A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water? Answer Choice: (A) 2 hr 30 min (B) 2 hr (C) 4 hr (D) 1 hr 15 min (E) None of these
Answer: A
To a sugar solution of 3 litres containing 40% sugar, one litre of water is added. The percentage of sugar in the new solution is ? Answer Choice: (A) 22% (B) 15% (C) 26% (D) 40% (E) 30%
Answer: E
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/11
II. 1/10
III. 1/10 Answer Choice: (A) II only (B) I only (C) III only (D) II and III only (E) I, II, and III
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. 4b < bc Answer Choice: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III
Answer: A
If the product of the integers from 1 to n is divisible by 210, what is the least possible value of n? Answer Choice: (A) 7 (B) 14 (C) 21 (D) 28 (E) 35
Answer: A
The probability that A speaks truth is 5/9 and that of B speaking truth is 7/11. What is the probability that they agree in stating the same fact? Answer Choice: (A) 68/95 (B) 12/85 (C) 59/99 (D) 33/39 (E) None of these
Answer: C
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km / hr. In the return trip, he covers the same distance at an average speed of 20 km / hr. The average speed of the car over the entire distance of 400 km / hr. Answer Choice: (A) 22 km/hr (B) 28.56 km/hr (C) 26.67 km/hr (D) 30 km/hr (E) None
Answer: C
If the selling price of 8 articles is same as the cost price of 10 articles. Find the gain or loss percentage? Answer Choice: (A) 25% (B) 45% (C) 35% (D) 65% (E) 55%
Answer: A
Find the value of x when the average of 3x,(5x+6),(7x-4) is 51? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 12 (E) 20
Answer: B
The average speed of a train running at a speed of 30 km/hr during the first 100 kilometres, at 40 km/hr during the second 100 kilometres and at 50 km/hr during the last 100 kilometres is nearly? Answer Choice: (A) 38.5 km/hr (B) 38.3 km/hr (C) 40.0 km/hr (D) 39.2 km/hr (E) None of these
Answer: B
The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father's present age is : Answer Choice: (A) 50 years (B) 46 years (C) 20 years (D) 45 years (E) 30 years
Answer: D
y w v t r p n
Next letter in the series Answer Choice: (A) L (B) M (C) N (D) O (E) P
Answer: A
On a certain number line, conditions are x<Y<z<U<v. xyzuv>0 Which of the following must be true?
I xy>0
II zu>0
III uv>0 Answer Choice: (A) I only (B) II only (C) I and II (D) III only (E) II and III only
Answer: C
(0.96)(power 3) - (0.1)(power 3)/ (0.96)(power 2) + 0.096 + (0.1)(power 2) is: Answer Choice: (A) 0.68 (B) 0.086 (C) 0.86 (D) 0.068 (E) None of them
Answer: C
Peta has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55
How many of each type of coin does she have? Answer Choice: (A) 4q & 20d (B) 5q & 15d (C) 3q & 18d (D) 6q & 16d (E) 2q & 19d
Answer: C
Two dice are thrown together. What is the probability that the sum of the number on the two faces is divided by 4 or 6 Answer Choice: (A) 1/3 (B) 7/19 (C) 7/9 (D) 7/17 (E) 7/18
Answer: E
The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is? Answer Choice: (A) (mb – nc)/ (m + n) years (B) (mb + nc)/ (m - n) years (C) (mb + nc)/ (m + n) years (D) (mb – nc)/ (m - n) years (E) (mn – mc)/ (m - n) years
Answer: C
The average mark of the students of a class in a particular exam is 65. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Answer Choice: (A) 14 (B) 25 (C) 35 (D) 45 (E) 55
Answer: A
The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If q is any prime, number then f(q)= Answer Choice: (A) q-2 (B) q-1 (C) (q+1)/2 (D) (q-1)/2 (E) 2
Answer: B
The average age of father and his two sons is 27 years. The difference in age between the two sons is 4 years and five years ago the average age of the two sons was 12 years. What is the present age of the father? Answer Choice: (A) 34years (B) 47years (C) 64years (D) 27years (E) 37years
Answer: B
A table is bought for Rs.940/- and sold at Rs.1040/- find the loss percentage Answer Choice: (A) 10% Loss (B) 10% Gain (C) 20% Loss (D) 20% Gain (E) 30% Gain
Answer: B
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 370 items for $150 each, what will her monthly salary be? Answer Choice: (A) $1,500 (B) $4,600 (C) $2,100 (D) $2,500 (E) $2,800
Answer: B
In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least one of each type of coin must be included? Answer Choice: (A) 39 (B) 42 (C) 60 (D) 65 (E) 66
Answer: C
A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is? Answer Choice: (A) 187 (B) 279 (C) 280 (D) 285 (E) 262
Answer: D
In aquarium A there are 2 yellow fish and 2 green ones, in aquarium B there are 3 yellow fish and 4 green ones. An aquarium is chosen at random, what is the probability of picking up a green fish out of aquarium A? Answer Choice: (A) 1/2. (B) 3/5. (C) 1/4. (D) 1/3. (E) 2/3.
Answer: C
What is the smallest no. which must be added to 3245613 so as to obtain a sum which is divisible by 11? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 9 (E) 3
Answer: E
4,7,15,31,35,19,11,? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: D
What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ? Answer Choice: (A) Rs. 3430 (B) Rs. 3440 (C) Rs. 3450 (D) Rs. 3460 (E) Rs. 3490
Answer: B
TOM traveled the entire 80 miles trip. If he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour? Answer Choice: (A) 55 mph (B) 50 mph (C) 40 mph (D) 60 mph (E) 70 mph
Answer: C
Find the odd man out.10, 25, 45, 50, 66, 70, 80 Answer Choice: (A) 45 (B) 50 (C) 66 (D) 70 (E) 80
Answer: C
The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side Answer Choice: (A) Rs.962 (B) Rs.672 (C) Rs.546 (D) Rs.876 (E) None of these
Answer: D
In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is: Answer Choice: (A) 72 (B) 76 (C) 100 (D) 113 (E) 112
Answer: D
Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1−Tn=10Tn+1−Tn=10, then the value of n is Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 10
Answer: A
A firm has 4 senior partners and 6 junior partners. How many different groups W of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different) Answer Choice: (A) 48 (B) 100 (C) 120 (D) 288 (E) 600
Answer: B
If the value of a piece of land decreases by 10% while the new tax rate on the land represent 110% of the original tax rate, what is the effect on the taxes? Answer Choice: (A) a - taxes increase by 10% (B) b- taxes increase by 1% (C) c- there is no change in taxes (D) d- taxes decrease by 1% (E) c- taxes decrease by 10%
Answer: D
If John takes 15 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate? Answer Choice: (A) 900xz (B) 15z/x (C) 900x/z (D) 15x/z (E) 900z/x
Answer: E
The sum of all the integers k such that –21 < k < 24 is Answer Choice: (A) 0 (B) -2 (C) -25 (D) -39 (E) -51
Answer: D
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 4 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel? Answer Choice: (A) 27/343 (B) 3/7 (C) 27/125 (D) 271/340 (E) 9/125
Answer: D
A boat can move upstream at 25 kmph and downstream at 30 kmph, then the speed of the current is? Answer Choice: (A) 5 kmph (B) 7 kmph (C) 8 kmph (D) 9 kmph (E) 2.5 kmph
Answer: E