loafeihong/math_mmlu_format huggingface dataset:
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 18 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates? Answer Choice: (A) A)11 (B) B)18 (C) C)24 (D) D)29 (E) D)36
Answer: D
A person walks from one end to the other of a 90-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other? Answer Choice: (A) 36 (B) 42 (C) 48 (D) 54 (E) 60
Answer: C
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages? Answer Choice: (A) 30, 40 (B) 30, 47 (C) 30, 46 (D) 30, 498 (E) 30, 41
Answer: A
A and b make a business together, and make a profit of Rs 84000. If A get Rs 48000, what was the ratio of investment between them? Answer Choice: (A) 4 : 3 (B) 3 : 2 (C) 5 : 2 (D) 4 : 5 (E) 6 : 5
Answer: A
Solve the following quadratic equation by factoring.
u2+15u=-50 Answer Choice: (A) -5,-10 (B) 5,10 (C) 4,3 (D) -4,3 (E) 2,5
Answer: A
A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs.900in the same period of 2 years, What must be the rate of interest? Answer Choice: (A) 25% (B) 10% (C) 15% (D) 20% (E) 30%
Answer: A
In a consumer survey, 66% of those surveyed liked at least one of three products: 1, 2, and 3. 35% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 8% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? Answer Choice: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13
Answer: C
Which of the following is true about 0<|x|-2x<5? Answer Choice: (A) -1<x<0 (B) 0<x<1 (C) 1<x<2 (D) 2<x<3 (E) 3<x<4
Answer: A
A trader marked the selling price of an article at 12% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of : Answer Choice: (A) 10 % (B) 10.5 % (C) 11 % (D) 12.5 % (E) 9.8
Answer: E
In how many ways can 3 hats be formed out of 3 blue hats and 10 red hats? Answer Choice: (A) 12 (B) 302 (C) 1 (D) 250 (E) 286
Answer: E
Two numbers when divided by a divisor leave remainders of 208 and 332 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor. Answer Choice: (A) 335 (B) 365 (C) 387 (D) 472 (E) 516
Answer: D
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Answer Choice: (A) $200 (B) $275 (C) $510 (D) $1,250 (E) $2,550
Answer: A
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.3 per sq m? Answer Choice: (A) 1350 (B) 1357 (C) 2025 (D) 2052 (E) 2122
Answer: C
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money J did Bob receive? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 52
Answer: B
A horse is tied to one corner of a square playground of side 20m by a rope 3.5m long. Find the area it can move in that playground? Answer Choice: (A) 9.625 (B) 10.5 (C) 11.125 (D) 12.5 (E) 14.45
Answer: A
In a triangle, one side is 5 Cm and another side is 9 Cm. which of the following can be the perimeter of the triangle? Answer Choice: (A) 18. (B) 25. (C) 30. (D) 32. (E) 23.
Answer: E
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 50 percent, what is the discount rate on Pony jeans? Answer Choice: (A) 9% (B) 10% (C) 110% (D) 120% (E) 150%
Answer: E
What is the unit digit of 3^58? Answer Choice: (A) 0 (B) 5 (C) 7 (D) 1 (E) 9
Answer: E
By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is: Answer Choice: (A) Rs 23 (B) Rs 25 (C) Rs 24 (D) None of these (E) Cannot be determined
Answer: C
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 cm2 (B) 176 cm2 (C) 112 cm2 (D) 166 cm2 (E) 167 cm2
Answer: A
Two trains of length 160 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) 28 (B) 266 (C) 990 (D) 20 (E) 22
Answer: E
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 288 (B) 277 (C) 284 (D) 108 (E) 133
Answer: D
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 2.8 sec (C) 8.5 sec (D) 2.7 sec (E) 8.5 sec
Answer: A
If the average of 365, 409, 187, 420, 451, and x is 314, then what is x? Answer Choice: (A) 190 (B) 52 (C) 232 (D) 114 (E) 400
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 1/5 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) 5/2 (B) 10/3 (C) 15/4 (D) 25/3 (E) 25/6
Answer: E
A committee is composed of w women and m men. If 3 women and 4 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by Answer Choice: (A) w/m (B) w/(w+m) (C) (w+3)/(m+4) (D) (w+3)/(w+m+3) (E) (w+3)/(w+m+7)
Answer: E
The duplicate ratio of 3:4 is? Answer Choice: (A) 9:19 (B) 9:11 (C) 9:16 (D) 9:109 (E) 9:12
Answer: C
Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 2 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x? Answer Choice: (A) 10.5 (B) 15 (C) 25.5 (D) 30 (E) 23.5
Answer: E
What is the least possible product of 4 different integers, each of which has a value between –3 and 10, inclusive? Answer Choice: (A) –5040 (B) –3600 (C) –2160 (D) –600 (E) –120
Answer: C
P is a prime number. If 6p is between 15 and 95, which of the following can be a value of 7p + 2? Answer Choice: (A) 15 (B) 79 (C) 121 (D) 65 (E) 21
Answer: D
Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999 ? Answer Choice: (A) Rs.45,000 (B) Rs.50,000 (C) Rs.90,000 (D) Rs.75,000 (E) None of these
Answer: C
The speed of a boat in upstream is 90 kmph and the speed of the boat downstream is 190 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 10 kmph (B) 76 kmph (C) 12 kmph (D) 97 kmph (E) 50 kmph
Answer: E
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 15% profit? Answer Choice: (A) 14.49 (B) 16.33 (C) 16.35 (D) 16.3 (E) 16.32
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: Answer Choice: (A) 3/9 (B) 3/2 (C) 3/1 (D) 3/7 (E) 3/4
Answer: B
(5)1.25 × (12)0.25 × (60)0.75 = ? Answer Choice: (A) 420 (B) 260 (C) 200 (D) 300 (E) 400
Answer: D
The probability of picking 2 red balls one after another without replacement from a bag containing only red and white balls is 14/33. What will be the probability of picking 2 white balls one after another w/o replacement from that bag, given that it can hold at the most 20 balls? Answer Choice: (A) 1/33 (B) 3/33 (C) 5/33 (D) 9/33 (E) 19/33
Answer: B
Worker W produces n units in 5 hours. Workers V and W, workers independently but at thesame time, produce n units in 2 hours.how long would it take V alone to produce n units? Answer Choice: (A) 1 hr 26 min (B) 1 hr 53 min (C) 2 hr 30 min (D) 3 hr 30 min (E) 3 hr 20 min
Answer: E
The average of 11 results is 50, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result? Answer Choice: (A) 55 (B) 56 (C) 57 (D) 58 (E) 59
Answer: E
Find the rank of the word GOOGLE if all the words which can be formed by permuting letters of this word without repitition are arranged in dictionary in alphabetical order??? Answer Choice: (A) 86 (B) 67 (C) 88 (D) 89 (E) 69
Answer: C
The surface of a cube is 54sq cm. Find its volume? Answer Choice: (A) 8cc (B) 27cc (C) 2cc (D) 4cc (E) 6cc
Answer: B
A firm has 3 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.) Answer Choice: (A) 42 (B) 46 (C) 50 (D) 54 (E) 58
Answer: B
Fresh grapes contain 75% by weight while dried grapes contain 25% water by weight. What is the weight of dry grapes available from 200 kg of fresh grapes? Answer Choice: (A) 40.00 kg (B) 45.50 kg (C) 66.67 kg (D) 80.56 kg (E) 90.00 kg
Answer: C
A woman has five blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear? Answer Choice: (A) 8 (B) 12 (C) 28 (D) 17 (E) 18
Answer: C
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is: Answer Choice: (A) 0.125 (B) 0.135 (C) 0.145 (D) 0.155 (E) 0.165
Answer: A
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P? Answer Choice: (A) 4 units (B) 8 units (C) 12 units (D) Data inadequate (E) None of these
Answer: D
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 10 terms of the arithmetic progression? Answer Choice: (A) 300 (B) 100 (C) 150 (D) 170 (E) 270
Answer: B
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the divident is Answer Choice: (A) 4236 (B) 4306 (C) 4336 (D) 5336 (E) None
Answer: D
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k? Answer Choice: (A) 3/4 (B) 1 (C) 4/3 (D) 2 (E) 7/2
Answer: C
If the function f(x) is defined for all real numbers x as the maximum value of 4x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 4x + 4 ? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9
Answer: D
A train 250 m long is running at a speed of 58 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? Answer Choice: (A) 5 sec (B) 9 sec (C) 12 sec (D) 18 sec (E) 15 sec
Answer: D
A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880? Answer Choice: (A) 770 (B) 266 (C) 297 (D) 260 (E) 277
Answer: A
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number? Answer Choice: (A) 1/3 (B) 1/5 (C) 4/7 (D) 3/5 (E) 4/9
Answer: C
A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person’s now working 9 hours a day. Answer Choice: (A) 160 (B) 150 (C) 24 (D) 56 (E) 75
Answer: D
A Ball is dropped from 8 m height.it rebounds to half the height when it hits the ground. What is the distance travelled by the ball before it hits the ground? Answer Choice: (A) 20m (B) 21m (C) 22m (D) 24m (E) 28m
Answer: D
Raviraj invested an amount of 1000000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years? Answer Choice: (A) 12,310000 (B) 13,210 (C) 13,3200000 (D) 13,120 (E) 1331000000
Answer: E
If at least 150 dollar is to be divided equally among 12 beneficiaries, how much more the donor needs to add to his dollar balance in order to meet the equal distribution criteria. Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
What number would replace the question mark in this quite difficult number sequence ?
21 32 54 87 131 ? Answer Choice: (A) 300 (B) 125 (C) 450 (D) 340 (E) 186
Answer: E
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey. Answer Choice: (A) 390 km (B) 340 km (C) 380 km (D) 360 km (E) 320 km
Answer: A
In a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 8
Answer: E
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is? Answer Choice: (A) 25/42 (B) 25/47 (C) 25/17 (D) 25/19 (E) 25/98
Answer: A
If two projectiles are launched at the same moment from 1386 km apart and travel directly towards each other at 445 km per hour and 545 km per hour respectively, how many minutes will it take for them to meet? Answer Choice: (A) 80 (B) 82 (C) 84 (D) 86 (E) 88
Answer: C
Two trains are running at 40km/hr and 20km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? Answer Choice: (A)  23 m (B)  23 2/9 m (C)  27 7/9 m (D)  29 m (E)  28 m
Answer: C
Ravi and sunil are partners in a business. Ravi invests Rs.9,000 for 8 months and Sunil invested Rs.12000 for 9 months then after one year ratio of their profits will be Answer Choice: (A) 1:3 (B) 2:3 (C) 3:2 (D) 3:1 (E) 3:4
Answer: B
Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share Answer Choice: (A) Rs 10 (B) Rs 20 (C) Rs 24 (D) Rs 28 (E) Rs 29
Answer: B
A tourist purchased a total of $1,200 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost? Answer Choice: (A) $1,430 (B) $1,310 (C) $1,290 (D) $1,270 (E) $970
Answer: E
You are having 31kg of rice. You are provided with a 1kg stone for weighing. In how many weights the 31kg of rice can be weighed. ? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
Find the wrong number below mentioned series
7,30,80,250,550 Answer Choice: (A) 7 (B) 30 (C) 80 (D) 250 (E) 550
Answer: A
If the equation x^2−x=k has at least one solution, which of the following must be true? Answer Choice: (A) k ≥-1/4 (B) k < −9 (C) k = 9 (D) k ≤ 9 (E) k ≥ −9
Answer: A
The product of all the prime numbers less than 14 is closest to which of the following powers of 10 ? Answer Choice: (A) 10^5 (B) 10^8 (C) 10^7 (D) 10^6 (E) 10^9
Answer: A
In a box of 9 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective? Answer Choice: (A) 5/12 (B) 1/15 (C) 2/13 (D) 2/15 (E) 1/17
Answer: A
12,31,68,129,220,? Answer Choice: (A) 129 (B) 220 (C) 387 (D) 347 (E) 520
Answer: D
The fourth proportional to 5, 8, 15 is: Answer Choice: (A) 18 (B) 24 (C) 19 (D) 20 (E) 22
Answer: B
Given the equation a^2 +a^(-3)=4.125, which of the following options is the correct value of a? Answer Choice: (A) 2 (B) 1 (C) 0 (D) 3 (E) 5
Answer: A
A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 90 (B) 67 (C) 28 (D) 26 (E) 27
Answer: A
#88
A necklace is made by stringing Q no individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then Q could equal Answer Choice: (A) 16 (B) 28 (C) 41 (D) 54 (E) 65
Answer: B
A swimmer jumps from a bridge over a canal and swims one kilometer stream up. After that first kilometer, he passes a floating cork. He continues swimming for half an hour, then turns around, and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant effort. How fast does the water in the canal flow? Answer Choice: (A) 3 km/h (B) 2 km/h (C) 1 km/h (D) 4 km/h (E) 5 km/h
Answer: C
Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now? Answer Choice: (A) 18 years (B) 24 years (C) 27 years (D) 28 years (E) None
Answer: B
If x+|x|+y=5 and x+|y|-y=6 what is x+y=? Answer Choice: (A) 1 (B) -1 (C) 3 (D) 12 (E) 13
Answer: D
A man purchases 2 watches for $ 7650. He sells one at 25% profit and the other at a loss of 20%. He neither gains nor loses on the whole. Thus, the cost price of two watches are : Answer Choice: (A) $ 3400 and $ 7650 (B) $7650and $ 4250 (C) $3400 and $4250 (D) $7650 and $3400 (E) $2240 and $ 3500
Answer: C
n and p are integers greater than 1;
5n is the square of a number;
75 np is the cube of a number.
The smallest value for n + p is Answer Choice: (A) 14 (B) 18 (C) 20 (D) 30 (E) 50
Answer: A
A truck covers a distance of 376 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? Answer Choice: (A) 6 hours (B) 5 hours (C) 7 hours (D) 8 hours (E) None
Answer: A
A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit? Answer Choice: (A) 37 (B) 299 (C) 72 (D) .32 (E) 01
Answer: D
What least number should be added to 1021, so that the sum is completely divisible by 25? Answer Choice: (A) 4 (B) 3 (C) 2 (D) 0 (E) 5
Answer: A
A and B put in Rs.300 and Rs.500 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.200 where as B does not. In what ratio should they divide the second year's profit? Answer Choice: (A) 39:40 (B) 39:49 (C) 15:16 (D) 14:18 (E) 39:41
Answer: C
Calculate the average mark scored by Nancy if she obtained the following scores in an examination: 65, 78, 89, 51 and 69 marks (out of 100) in English Language, Physics, Mathematics, Chemistry and Biology? Answer Choice: (A) 40.4 (B) 60.4 (C) 50.4 (D) 70.4 (E) 79.4
Answer: D
If 183 is divisible by 11, find the value of the smallest natural no. N? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 10 (E) 11
Answer: B
The salary of a person was reduced by 35%. By what percent should his reduced salary be raised so as to bring it at par with his original salary? Answer Choice: (A) 50% (B) 32% (C) 25% (D) 54% (E) 29%
Answer: D
A hostel had provisions for 250 men for 36 days. If 50 men left the hostel, how long will the food last at the same rate? Answer Choice: (A) 30 (B) 45 (C) 50 (D) 60 (E) 65
Answer: B
The average (arithmetic mean) of 27, 32, and 64 is 6 less than the average of 29, 42, and x. What is x? Answer Choice: (A) 62 (B) 64 (C) 66 (D) 68 (E) 70
Answer: E
288 Ã· ? Ã— 15 + 270 = 405 Answer Choice: (A) 24 (B) 25 (C) 32 (D) 39 (E) 43
Answer: C
Ramesh can finish a piece of work in 14 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work? Answer Choice: (A) 8/3 days (B) 9/3 days (C) 10/3 days (D) 14/3 days (E) 7/3 days
Answer: D
If a town of 15,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to? Answer Choice: (A) a.16000 (B) b.17000 (C) c.18000 (D) d.19000 (E) e.20000
Answer: A
In a renowned city, the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day. Answer Choice: (A)  129,500 (B)  129,600 (C)  129,700 (D)  129,800 (E)  129,900
Answer: B
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 11 (B) 36 (C) 99 (D) 88 (E) 61
Answer: B
The value of (7x10^7)(7x10^8) is closest to which of the following? Answer Choice: (A) 10^11 (B) 10^12 (C) 10^17 (D) 10^14 (E) 10^18
Answer: C
In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (3,-1), (3, 8), (12, 2), (12,-7)? Answer Choice: (A) 69 (B) 75 (C) 81 (D) 87 (E) 93
Answer: C
An exam consists of 8 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 80% is a passing grade, what is the probability that Brian passes? Answer Choice: (A) 1/16 (B) 37/256 (C) 1/2 (D) 219/256 (E) 125/256
Answer: E
If the product of two numbers is 51216 and their H.C.F. is 33, find their L.C.M. Answer Choice: (A) 600 (B) 680 (C) 582 (D) 560 (E) None of these
Answer: C
A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 2k1,k24, where k represents a digit that occurs twice, how many values could n have? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 10
Answer: D