loafeihong/math_mmlu_format huggingface dataset:
Simplify: 1605 x 1605 Answer Choice: (A) 2576025 (B) 2567025 (C) 2657025 (D) 2756025 (E) None of them
Answer: A
Which of the following is a quadratic equation? Answer Choice: (A) x1/2 + 2x + 3 = 0 (B) x - 1)(x + 4) = x2 + 1 (C) x4 - 3x + 5 = 0 (D) (2x + 1)(3x - 4) = 2x2 + 3 (E) None of these
Answer: D
Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is Answer Choice: (A) 10.8 s (B) 12 s (C) 9.8 s (D) 8 s (E) 7 s
Answer: A
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Answer Choice: (A) 100 m (B) 150 m (C) 190 m (D) 200 m (E) 220 m
Answer: A
Suppose you flip a fair coin six times. What is the probability that, in six flips, you get at least one head? Answer Choice: (A) 5/8 (B) 13/16 (C) 15/16 (D) 31/32 (E) 63/64
Answer: E
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 9 can be used only once? Answer Choice: (A) 20 (B) 150 (C) 225 (D) 304 (E) 320
Answer: D
P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last? Answer Choice: (A) 5 days (B) 10 days (C) 14 days (D) 22 days (E) 40 days
Answer: E
A man sitting in a train which is travelling at 100 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed? Answer Choice: (A) 52 kmph. (B) 62 kmph. (C) 12 kmph. (D) 80 kmph. (E) None
Answer: C
Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is? Answer Choice: (A) 26 km/hr (B) 40 km/hr (C) 60 km/hr (D) 77 km/hr (E) 46 km/hr
Answer: B
Andy has 20 pairs of matched gloves. If he loses 16 individual gloves, which of the following is NOT a possible number of matched pairs he has left? Answer Choice: (A) 9 (B) 11 (C) 13 (D) 14 (E) 15
Answer: C
A 20% stock yielding 12% is quoted at: Answer Choice: (A) Rs. 83.33 (B) Rs. 167 (C) Rs. 112 (D) Rs. 120 (E) Rs. 140
Answer: B
[( 3.241 x 14 ) / 100] = ? Answer Choice: (A) 0.045374 (B) 4.5388 (C) 453.88 (D) 473.88 (E) None of these
Answer: A
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 36. Answer Choice: (A) 5 (B) 4 (C) 12 (D) 32 (E) 35
Answer: A
If 3^8 x 3^7 = 3^n what is the value of n? Answer Choice: (A) 20 (B) 18 (C) 17 (D) 16 (E) 15
Answer: E
Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan? Answer Choice: (A) 1/5 (B) 1/4 (C) 1/3 (D) 2/3 (E) 2/5
Answer: C
Which of the following could be the sum of the reciprocals of two prime numbers? Answer Choice: (A) 7/13 (B) 11/12 (C) 11/30 (D) 23/50 (E) 13/22
Answer: E
When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of R? Answer Choice: (A)  7 (B)  8 (C)  9 (D)  10 (E)  11
Answer: A
The ratio of the present age of Sandy to that of Molly is 7:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago? Answer Choice: (A) 18 (B) 24 (C) 30 (D) 36 (E) 42
Answer: D
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 176 of the workers of that company are men, how many of the workers are women? Answer Choice: (A) 80 (B) 95 (C) 105 (D) 120 (E) 154
Answer: E
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Answer Choice: (A) 22 (B) 27 (C) 25 (D) 99 (E) 21
Answer: C
What will be the cost of building a fence around a rectangle plot with area equal to 289 sq ft, and a = 1.7*b if the price per foot of building the fence is Rs. 58? Answer Choice: (A) A)Rs.3944 (B) B)Rs.3948 (C) C)Rs.3988 (D) D)Rs.4082.65 (E) E)Rs.3923
Answer: D
Set S has a mean of 16 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? Answer Choice: (A) {2, 10} (B) {9, 11} (C) {16, 16} (D) {10, 18} (E) {7, 13}
Answer: C
In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period? Answer Choice: (A) 50% decrease (B) 30% decrease (C) 15% decrease (D) 30% increase (E) 55% increase
Answer: B
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? Answer Choice: (A) Rs. 7500 (B) Rs. 9000 (C) Rs. 9500 (D) Rs. 10,000 (E) None of these
Answer: A
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) 33888 (B) 24000 (C) 27778 (D) 27772 (E) 81122
Answer: B
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 4 different offices? Answer Choice: (A) 16 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
The average of first five prime numbers greater than 37 is? Answer Choice: (A) 32.2 (B) 32.98 (C) 42.3 (D) 48.6 (E) 32.4
Answer: D
If we write 1/7 as a decimal, what number holds the 50th digit's place to the right of the decimal? Answer Choice: (A) 7 (B) 8 (C) 2 (D) 1 (E) 4
Answer: E
A rectangular box of volume x has width, depth and height in the ratio of 2:3:3 (in that order). What is the width as a function of x? Answer Choice: (A) (2x/12)^(1/2) (B) (x/2)^(1/2) (C) (x/3)^(1/2) (D) (2x/9)^(1/2) (E) (x)^(1/2)
Answer: D
What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 4 women, and 5 children contains exactly 1 woman? Answer Choice: (A) 44/91 (B) 77/832 (C) 11/77 (D) 308/1411 (E) 22/832
Answer: A
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.26,000 earned at the end of 2 years from the starting of the business? Answer Choice: (A) Rs.7800 (B) Rs.9000 (C) Rs.9500 (D) Rs.10,000 (E) None
Answer: A
A certain box has 9 cards and each card has one of the integers from 1 to 9 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 9 cards? Answer Choice: (A) 1/36 (B) 1/15 (C) 1/18 (D) 1/9 (E) 2/9
Answer: C
You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end? Answer Choice: (A) 39 (B) 40 (C) 65 (D) 42 (E) 43
Answer: C
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days M do they need to finish the same job? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: A
For any 5 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) None of the above
Answer: C
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 5 units? Answer Choice: (A) 40 sq.units (B) 158 sq.units (C) 187 sq.units (D) 607 sq.units (E) 815 sq.units
Answer: A
200 college students were asked in a survey if they preferred Windows or Mac brand computers. 70 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 80 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers? Answer Choice: (A) 25 (B) 50 (C) 57 (D) 60 (E) 75
Answer: B
I bought two books; for Rs.300. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Answer Choice: (A) 175 (B) 280 (C) 189 (D) 278 (E) 268
Answer: A
If the simple interest on a sum of money for 5 years at 9% per annum is Rs. 800, what is the compound interest on the same sum at the rate and for the same time? Answer Choice: (A) Rs. 947.55 (B) Rs. 957.55 (C) Rs. 857.55 (D) Rs. 657.55 (E) Rs. 357.55
Answer: B
Ratio between length and breath of a rectangle is 25:16. The area of the rectangle is same with a square whose side is 200. Find the breadth and length of the rectangle? Answer Choice: (A) 150,200 (B) 140,300 (C) 100,300 (D) 160,250 (E) 100,200
Answer: D
P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 3), the remainder is also D. If P/Q = 1020.75 and P/(Q + 3) = 816.6, then which of the following gives the correct set of {D, Q}? Answer Choice: (A) {6, 12} (B) {6, 15} (C) {9, 12} (D) {9, 15} (E) {15, 24}
Answer: C
110 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors? Answer Choice: (A) 34 (B) 32 (C) 30 (D) 26 (E) 28
Answer: D
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C? Answer Choice: (A) 375 (B) 400 (C) 600 (D) 800 (E) 550
Answer: B
If y = 30p, and p is prime, what is the greatest common factor of y and 18p, in terms of p? Answer Choice: (A) p (B) 2p (C) 5p (D) 6p (E) p^2
Answer: D
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is Answer Choice: (A) 2447 (B) 377 (C) 667 (D) 416 (E) 871
Answer: D
A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen? Answer Choice: (A) 119 (B) 1,200 (C) 3,240 (D) 3,600 (E) 14,400
Answer: B
Look at this series: 75, 75, 70, 70, 65, 65, ... What number should come next? Answer Choice: (A) 14 (B) 15 (C) 17 (D) 60 (E) 11
Answer: D
If x is a positive integer less than 30, is 'x' an odd number? Answer Choice: (A) 87 (B) 65 (C) 77 (D) 56 (E) 19
Answer: B
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What is the remainder when nm is divided by 9? Answer Choice: (A) 4 (B) 2 (C) 3 (D) 0 (E) 1
Answer: D
A man can row with a speed of 5 kmph in still water. If the stream flows at 30 kmph, then the speed in downstream is? Answer Choice: (A) 29 (B) 35 (C) 20 (D) 27 (E) 121
Answer: B
120 is what percent of 40 ? Answer Choice: (A)  5% (B)  20% (C)  50% (D)  300% (E)  500%
Answer: D
How many times in a day, are the hands of a clock in straight line but opposite in direction? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 48 (E) 45
Answer: B
The average age of 3 boys is 20 years and their ages are in the proportion 3:5:7. The age of the youngest boy is? Answer Choice: (A) 10years (B) 15years (C) 20years (D) 25years (E) 12years
Answer: E
A cycle is bought for Rs.675 and sold for Rs.1080, find the gain percent? Answer Choice: (A) 22 (B) 60 (C) 99 (D) 88 (E) 11
Answer: B
A car travels at a speed of 65 miles per hour. How far will it travel in 4 hours? Answer Choice: (A) 125 miles (B) 225 miles (C) 260 miles (D) 425 miles (E) 525 miles
Answer: C
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is: Answer Choice: (A) Rs. 207.40 (B) Rs. 534.60 (C) Rs. 648 (D) Rs. 655.60 (E) Rs. 555
Answer: C
Praveen starts business with Rs.3220 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? Answer Choice: (A) s.7500 (B) s.8000 (C) s.8280 (D) s.9000 (E) s.6000
Answer: C
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) 210m (B) 240m (C) 963m (D) 874m (E) 578m
Answer: B
If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? Answer Choice: (A) 5/3 (B) 5/4 (C) 10/3 (D) 15/4 (E) 15/2
Answer: D
If x≠6 and (x^2 - 36)/(2y) = (x - 6)/4, then in terms of y, x = ? Answer Choice: (A) (y - 6)/2 (B) (y - 3)/2 (C) y - 3 (D) (y - 12)/2 (E) (y + 6)/2
Answer: D
How many 4 digit odd numbers do not use any digit more than once Answer Choice: (A) 1720 (B) 2160 (C) 224 (D) 2460 (E) None of these
Answer: E
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ? Answer Choice: (A) 5 (B) 6 (C) 8 (D) 7 (E) 9
Answer: D
In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony? Answer Choice: (A) 1:9 (B) 1:6 (C) 1:3 (D) 1:1 (E) 1ratio 3
Answer: E
The population of a town increase annually by 20% . If the present population is 2,00,000, then what is the difference in population after two years and three years Answer Choice: (A) 63,250 (B) 48,800 (C) 60,800 (D) 57,600 (E) 67,600
Answer: D
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered? Answer Choice: (A) 28.5 (B) 27.675 (C) 30 (D) Data inadequate (E) None of these
Answer: C
The C.P of 8 books is equal to the S.P of 16 books. Find his gain% or loss%? Answer Choice: (A) 60% (B) 50% (C) 70% (D) 90% (E) 55%
Answer: B
A train is running at a speed of 4040 km/hr and it crosses a post in 1818 seconds. What is the length of the train? Answer Choice: (A) 190 metres (B) 160 metres (C) 200 metres (D) 120 metres (E) 150 metres
Answer: C
You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.
How can you do it?
Please note that you can’t break the rope in half as it is being clearly stated that the ropes are non-homogeneous in nature. Answer Choice: (A) 45 minutes (B) 40 minutes (C) 35 minutes (D) 55 minutes (E) 60 minutes
Answer: A
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Answer Choice: (A) 23 (B) 27 (C) 28 (D) 12 (E) 25
Answer: D
List K consists of 12 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 11 (E) 12
Answer: C
A train running at the speed of 162 km/hr crosses a pole in 9 seconds. Find the length of the train. Answer Choice: (A) 150 meter (B) 286 meter (C) 186 meter (D) 405 meter (E) 265 meter
Answer: D
Which of these following integers is the square of an integer? Answer Choice: (A) 49981101542 (B) 49206101137 (C) 49471101241 (D) 49859101723 (E) 49323101988
Answer: C
A soccer store typically sells replica jerseys at a discount of 60 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 40 (E) 50
Answer: E
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 3 hours, how many machines of type R were used? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 9 (E) 12
Answer: B
One-seventh of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/15 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective? Answer Choice: (A) 2.3% (B) 3.4% (C) 4.5% (D) 5.6% (E) 6.7%
Answer: B
Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 30 as remainder Answer Choice: (A) 1235 (B) 1456 (C) 1567 (D) 1632 (E) 1635
Answer: D
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle. Answer Choice: (A) 10 cm (B) 20 cm (C) 30 cm (D) 40 cm (E) 50 cm
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 39 (B) 27 (C) 36 (D) 88 (E) 12
Answer: A
Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 2 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet? Answer Choice: (A) 5miles (B) 7 miles (C) 9 miles (D) 10 miles (E) 12 miles
Answer: B
Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 80 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute? Answer Choice: (A) 8:5 (B) 9:25 (C) 5:8 (D) 25:9 (E) Cannot be determined from the information provided
Answer: C
By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 20? Answer Choice: (A) Not possible (B) 9 (C) 4 (D) 6 (E) 8
Answer: A
Kamal obtained 76, 60, 82, 67 and 85 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Answer Choice: (A) 65 (B) 69 (C) 74 (D) 75 (E) NOne
Answer: C
If 15% of A is the same as 20% of B, then A : B is : Answer Choice: (A) 3 : 4 (B) 4 : 3 (C) 17 : 16 (D) 16 : 17 (E) None of these
Answer: B
Tom wants to buy items costing $25.35, $50.69, and $95.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour. Answer Choice: (A) 29 hours (B) 48 hours (C) 38 hours (D) 18 hours (E) 28 hours
Answer: A
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 500 more than D, what is B's share? Answer Choice: (A) A)8239 (B) B)2900 (C) C)1000 (D) D)2393 (E) E)2009
Answer: C
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is: Answer Choice: (A) 1:1 (B) 1:2 (C) 1:3 (D) 1:4 (E) 1:6
Answer: A
500 is increased by 30%. Find the final number. Answer Choice: (A) 550 (B) 500 (C) 650 (D) 600 (E) 700
Answer: C
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter? Answer Choice: (A) 288 (B) 132 (C) 772 (D) 592 (E) 261
Answer: B
If the President and Vice President must sit next to each other in a row with 4 other members of the Board, how many different seating arrangements are possible? Answer Choice: (A) 120 (B) 240 (C) 300 (D) 360 (E) 720
Answer: B
Find the average of first 10 natural numbers. Answer Choice: (A) A)10.5 (B) B)9.9 (C) C)7.5 (D) D)6.6 (E) E)5.5
Answer: E
A store sells four 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) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 30 (B) 35 (C) 36 (D) 37 (E) 38
Answer: C
A train covers a distance of 12 km in 5 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 120m (B) 180m (C) 240m (D) 220m (E) 280m
Answer: C
The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 36 ? Answer Choice: (A) 440 (B) 512 (C) 550 (D) 620 (E) 750
Answer: D
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 30 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains? Answer Choice: (A) 93% (B) 97% (C) 100% (D) 105% (E) 120%
Answer: D
How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together? Answer Choice: (A) 2160 (B) 2162 (C) 2161 (D) 2163 (E) 2134
Answer: A