loafeihong/math_mmlu_format huggingface dataset:
A room is 20 meters long, 15 meters wide 10 meters in height. The longest possible rod which can be placed in the room is Answer Choice: (A) 25.93 meters (B) 26.93 meters (C) 24.93 meters (D) 24.5 meters (E) 24.75 meters
Answer: B
Find the odd man out. 49, 65, 81, 144, 169, 225, 441 Answer Choice: (A) 49 (B) 65 (C) 81 (D) 144 (E) 169
Answer: B
Three bells commence tolling together and toll at intervals of 1, 3 and 5 seconds respectively. In 10 minutes, how many times do they toll together ? Answer Choice: (A) 39 (B) 40 (C) 41 (D) 42 (E) 43
Answer: C
The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the
due period. Answer Choice: (A) 6months (B) 5months (C) 8months (D) 3months (E) None of these
Answer: C
In the coordinate plane a slope of the line K is 4 times the x-intercept of the line K. What is the y-intercept of the line K? Answer Choice: (A) -4 (B) 4 (C) -1/4 (D) 1/4 (E) 2
Answer: D
If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+7 is divided by 41? Answer Choice: (A) 12 (B) 5 (C) 6 (D) 16 (E) 18
Answer: A
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the the total interest accrued in one year was 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B? Answer Choice: (A) 5000 (B) 6500 (C) 8000 (D) cannot be determined (E) None of these
Answer: A
A train 240 m long, running with a speed of 108 km/hr will pass a tree in? Answer Choice: (A) 8 sec (B) 16 sec (C) 18 sec (D) 14 sec (E) 12 sec
Answer: A
A box contains 15 items. Six of the items are Pen, five are pencil, and five are eraser. If two items are randomly selected from the box, one after the other, what is the probability that both will be pen? Answer Choice: (A) 1/11 (B) 1/9 (C) 1/3 (D) 1/7 (E) 8/9
Answer: D
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 3. What is the value of 13y – x ? Answer Choice: (A) 1 (B) 0 (C) -1 (D) -2 (E) -4
Answer: A
The radius of a semi circle is 6.3 cm then its perimeter is? Answer Choice: (A) 32.9 (B) 32.4 (C) 32.2 (D) 32.1 (E) 32.7
Answer: B
Which of the following fractions is greater than 23/50? Answer Choice: (A) 2/5 (B) 11/34 (C) 43/99 (D) 16/34 (E) 9/20
Answer: D
A, B and C started a partnership business by investing Rs.30000, Rs.45000, Rs.50000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit? Answer Choice: (A) 70000 (B) 60000 (C) 80000 (D) 90000 (E) 50000
Answer: D
What is the value of √16% ? Answer Choice: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%
Answer: C
If 'a' is a positive integer exactly divisible by 3 or 5 but not divisible by 6.What could possibly be the value of 'a' ? Answer Choice: (A) 60 (B) 30 (C) 18 (D) 27 (E) 15
Answer: E
A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested? Answer Choice: (A) $500 (B) $520 (C) $540 (D) $560 (E) $580
Answer: A
A bike covers a certain distance at the speed of 68km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel? Answer Choice: (A) 85 km/h (B) 85.34 km/h (C) 87.67 km/h (D) 90.66 km/h (E) 90.64 km/h
Answer: D
A company that ships boxes to a total of 12 sales centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter) Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
Ratio and proportion
215:474::537:? Answer Choice: (A) 26 (B) 27 (C) 25 (D) 22 (E) 23
Answer: A
If 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? Answer Choice: (A) 10% (B) (8) 20% (C) 30% (D) 60% (E) 65%
Answer: D
Two friends phil and andrew started running simultaneously from a point P in the same direction along a straight running track. The ratio of speeds of phil and andrew was 2:5. Two hours later, andrew turned back and started running running backwards at one-fifth of his original speed. He met phil at a distance of 10 km from the point P. what was phil's running speed ? Answer Choice: (A) 1.25 km/hr (B) 2.25 km/hr (C) 2.5 km/hr (D) 3.75 km/hr (E) 6.25 km/hr
Answer: C
Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 7 (E) 8
Answer: D
The G.C.D of 1.08, 0.36 and 1.2 is Answer Choice: (A) 0.19 (B) 0.1 (C) 0.18 (D) 0.11 (E) 0.12
Answer: E
A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together? Answer Choice: (A) 110 (B) 127 (C) 154 (D) 165 (E) 145
Answer: B
If a certain toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 3/4 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)  1/4 (B)  1/2 (C)  2/3 (D)  2 (E)  4
Answer: D
In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many X different victory circles are possible? Answer Choice: (A) 24 (B) 52 (C) 96 (D) 144 (E) 648
Answer: B
For the positive integers x, x + 2, x + 4, x + 7, and x + 32, the mean is how much greater than the median? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 4 (E) 5
Answer: E
In right triangle ABC, AC is the hypotenuse. If AC is 10 and AB + BC = 20, what is the area of the triangle ABC? Answer Choice: (A) 225 (B) 450 (C) 75 (D) 200 (E) 200√2
Answer: C
Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 60 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B? Answer Choice: (A) 3 : 7 (B) 4 : 9 (C) 13 : 7 (D) 5 : 3 (E) 6 : 11
Answer: D
If ‘DELHI’ is coded as ‘15’, ‘RAJASTHAN’ is coded as ’45’, then ‘MUMBAI’ is coded as ? Answer Choice: (A) 24 (B) 21 (C) 18 (D) 19 (E) None
Answer: E
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 68 years now, the son's age five years back was? Answer Choice: (A) 16 years (B) 14 years (C) 18 years (D) 19 years (E) 29 years
Answer: E
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ? Answer Choice: (A) 60 hours (B) 50hours (C) 65 hours (D) 45 hours (E) 30 hours
Answer: A
At what time between 2 and 3 o'clock will the hands of a clock be together? Answer Choice: (A) (10 + 10/11) min past 9 (B) (10 + 10/11) min past 2 (C) (10 + 10/11) min past 3 (D) (10 + 10/11) min past 7 (E) (10 + 10/11) min past 1
Answer: B
X completes a work in 12 days and Y complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be? Answer Choice: (A) 6 days (B) 8 days (C) 10 days (D) 12 days (E) 14 days
Answer: B
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's? Answer Choice: (A) 2.3 (B) 2.6 (C) 3.6 (D) 4.5 (E) 4.6
Answer: E
A necklace is made by stringing N individual beads together in the repeating pattern blue bead, green bead, white bead, brown bead, and orange bead. If the necklace design begins with a blue bead and ends with a white bead, then N could equal Answer Choice: (A) 79 (B) 76 (C) 68 (D) 64 (E) 72
Answer: C
An = 2An-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If A5 = Q4 and A7 = 316, what is the first value of n for which Qn is an integer? Answer Choice: (A)  1 (B)  2 (C)  3 (D)  4 (E)  5
Answer: C
The number of singles that a baseball player hit increased 12 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season? Answer Choice: (A) 1:2 (B) 2:5 (C) 1:3 (D) 2:3 (E) 3:5
Answer: B
If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is? Answer Choice: (A)  –3 (B)  9/2 (C)  1 (D)  2 (E)  3
Answer: B
If Greg buys 3 shirts, 6 trousers and 4 ties, the total cost is $80. If Greg buys 7 shirts, 2 trousers and 4 ties, the total cost is $80. How much will it cost him to buy 5 trousers, 4 shirts and 4 ties? Answer Choice: (A) $60 (B) $64 (C) $80 (D) $96 (E) Cannot be determined
Answer: C
A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choice: (A) 47 (B) 46.8 (C) 48.8 (D) 49 (E) 27
Answer: C
Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes? Answer Choice: (A) $125 (B) $135 (C) $145 (D) $155 (E) $165
Answer: A
In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A? Answer Choice: (A) 0 (B) 5 (C) 10 (D) 15 (E) 25
Answer: D
The average of first ten prime numbers which are odd is? Answer Choice: (A) 15.6 (B) 15.1 (C) 15.9 (D) 15.8 (E) 15.3
Answer: D
The duplicate ratio of 3:4 is? Answer Choice: (A) 1:2 (B) 1:4 (C) 1:8 (D) 9:16 (E) 1:13
Answer: D
Find the value of 3 + 2 â€¢ (5 â€“ 3) Answer Choice: (A) 25 (B) 13 (C) 7 (D) 24 (E) 15
Answer: C
The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 20 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ? Answer Choice: (A) 15% (B) 20% (C) 40% (D) 50% (E) 6%
Answer: E
If you are rolling 2 dice, what is the probability of rolling a 11? Answer Choice: (A) 1/2 (B) 4/15 (C) 5/18 (D) 2/3 (E) 1/6
Answer: C
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second? Answer Choice: (A) 18.000 d/sec (B) 28.000 d/sec (C) 38.000 d/sec (D) 26.000 d/sec (E) 35.000 d/sec
Answer: A
If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years? Answer Choice: (A) compounding annually (B) compounding quarterly (C) compounding monthly (D) compounding daily (E) All four of these would produce the same total
Answer: D
If the speed of X meters per second is equivalent to the speed of Y meters per hour, what is Y in terms of X? (1 kilometer=1000 meters) Answer Choice: (A) 15x/18 (B) 6x/5 (C) 18x/5 (D) 60x (E) 3600x
Answer: E
if 11 oranges bought 10 r and 10 oranges sold 11 r .what is the profit Answer Choice: (A) 11 % (B) 20 % (C) 22 % (D) 21 % (E) 23 %
Answer: D
What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts? Answer Choice: (A) 9 (B) 12 (C) 14 (D) 16 (E) 18
Answer: D
Raman covers 1 km in 8 min while suman covers the same distance in 10 min. By what distance does Raman beat Suman ? Answer Choice: (A) 150 m (B) 65 m (C) 190 m (D) 200 m (E) 220 m
Answer: D
How much 60% of 50 is greater than 40% of 30? Answer Choice: (A) 18 (B) 28 (C) 26 (D) 27 (E) 23
Answer: A
If 16 machine can finish a job in 45 days, then how many more machines would be needed to finish the job in one -third less time? Answer Choice: (A) a. 3 (B) b. 8 (C) c. 10 (D) d. 12 (E) e. 16
Answer: A
A cubical rectangular bar has the dimensions with the ratio 5 : 4 : 3. Its volume is 7500. What
is the surface area of the bar? Answer Choice: (A) 1350 (B) 2350 (C) 4350 (D) 5640 (E) 8456
Answer: A
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 8 managers? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: B
1/2 + [(2/3 * 3/8)*4] - 9/16 = Answer Choice: (A)  29/16 (B)  19/16 (C)  15/16 (D)  9/13 (E)  0
Answer: C
If a positive odd integer N has p positive factors, how many positive factors will 2N have ? Answer Choice: (A) p (B) 2p (C) P+1 (D) 2p+1 (E) Cannot be determined
Answer: B
What is the remainder when 1234 * 6789 * 1111 is divided by 19 Answer Choice: (A) 15 (B) 23 (C) 7 (D) 10 (E) 43
Answer: D
Aaron will jog from home at 3 miles per hour and then walk back home by the same route at 6 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking? Answer Choice: (A) 3 (B) 6 (C) 2 (D) 5 (E) 8
Answer: B
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If C is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true? Answer Choice: (A)  0<y<4 (B)  4<y<10 (C)  10<y<20 (D)  20<y<30 (E)  y>30
Answer: E
The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ? Answer Choice: (A) May 21 (B) April 11 (C) May 20 (D) April 10 (E) June 30
Answer: C
Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was? Answer Choice: (A) Rs. 692.80 (B) Rs. 820 (C) Rs. 990 (D) Rs. 1385 (E) None
Answer: C
he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream? Answer Choice: (A) 12 kmph. (B) 17 kmph. (C) 14 kmph. (D) 21 kmph. (E) 19 kmph.
Answer: C
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit? Answer Choice: (A) 39:40 (B) 39:47 (C) 39:50 (D) 39:44 (E) 39:41
Answer: A
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? Answer Choice: (A) 20(2/3)% (B) 20% (C) 21% (D) 22(2/3)% (E) None of these
Answer: B
If 2x + 3y = 70; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ? Answer Choice: (A) 18 (B) 32 (C) 36 (D) 22 (E) None of these
Answer: C
Two trains of length 160 m and 320 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) 10 sec (B) 32 sec (C) 82 sec (D) 24 sec (E) 89 sec
Answer: D
Which is a tool that helps RBI to stabilize money supply and prices of Government securities? Answer Choice: (A) OMJ (B) OMY (C) OMO (D) OM6 (E) OMD
Answer: C
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 140, how many coins of each type are there? Answer Choice: (A) 20 coins (B) 30 coins (C) 40 coins (D) 80 coins (E) None of these
Answer: D
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Answer Choice: (A) 11 (B) 10 (C) 817 (D) 117 (E) 111
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.200 in 4 Years? Answer Choice: (A) 5% (B) 7% (C) 6.25% (D) 2% (E) 4%
Answer: C
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse? Answer Choice: (A) 32 (B) 28 (C) 17 (D) 45 (E) 63
Answer: B
Sri travels the first 6 hours of his journey at 40 mph speed and the remaining 3 hours at 20mph speed. What is the average speed of Sri's travel in mph? Answer Choice: (A) 33.3mph (B) 33.8mph (C) 32.3mph (D) 34.3mph (E) 33.1mph
Answer: A
How much time will take for an amount of Rs. 300 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 7 (B) 4 (C) 6 (D) 3 (E) 2
Answer: C
A rope of which a calf is tied is increased from 15 m to 18m, how much additional grassy ground shall it graze? Answer Choice: (A) 1218 (B) 1212 (C) 1210 (D) 3.11.14 (E) 291.1
Answer: D
At the time of marriage, a man was 6 years elder to his wife. 6 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer. Answer Choice: (A) 25 years (B) 30 years (C) 18 years (D) 24 years (E) 36 years
Answer: E
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m? Answer Choice: (A) Rs. 50000 (B) Rs. 52000 (C) Rs. 57000 (D) Rs. 60000 (E) Rs. 61000
Answer: C
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? Answer Choice: (A) 75% (B) 50% (C) 100% (D) 80% (E) 70%
Answer: C
Two employees A and B are paid a total of Rs. 580 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week? Answer Choice: (A) s.130 (B) s.140 (C) s.150 (D) s.232 (E) s.280
Answer: D
The train travels at an average speed of 25km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 5km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip? Answer Choice: (A) 8.5 (B) 8.3 (C) 2.6 (D) 4.2 (E) 6.5
Answer: B
A shopkeeper sold an article offering a discount of 5% and earned a profit of 27.3%. 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) 34% (E) None of these
Answer: D
A pharmaceutical company received $6 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales? Answer Choice: (A) 8% (B) 15% (C) 45% (D) 52% (E) 72%
Answer: E
X and Y walk around a circular track. They start at 10 a.m from the same point in the opposite directions. X and Y walk at a speed of 6 rounds per hour and 7 rounds per hour respectively. How many times shall they cross each other before 3 p.m Answer Choice: (A) 64 (B) 65 (C) 66 (D) 67 (E) 68
Answer: B
Sahil purchased a machine at Rs 14000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it. Answer Choice: (A) Rs. 22000 (B) Rs. 24000 (C) Rs. 26000 (D) Rs. 30000 (E) None of these
Answer: D
John's marks wrongly entered as 82 instead of 62. Due to that the average marks for the class got increased by half (1/2). The number of John in the class is? Answer Choice: (A) 70 (B) 78 (C) 80 (D) 84 (E) 90
Answer: C
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: Answer Choice: (A) 14 (B) 12 (C) 15 (D) 16 (E) 20
Answer: A
The present worth of Rs.169 due in 2 years at 4% per annum compound interest is Answer Choice: (A) Rs.150.50 (B) Rs.154.75 (C) Rs.156.25 (D) Rs.158 (E) None
Answer: C
A tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28
Answer: B
If a*b=2a-3b+ab,then3*5+5*3 is equal to Answer Choice: (A) 22 (B) 32 (C) 25 (D) 28 (E) 30
Answer: A
A, B and C can do a piece of work in 5 days, 10 days and 15 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 2 (B) 4 (C) 2 8/11 (D) 67 (E) 9
Answer: C
A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage Answer Choice: (A) 10% Gain (B) 10% Loss (C) 20% Loss (D) 25% Loss (E) 30% Loss
Answer: B
If 9!/3^x is an integer, what is the greatest possible value of x? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
eight children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible? Answer Choice: (A) 240 (B) 480 (C) 540 (D) 720 (E) 840
Answer: D
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive? Answer Choice: (A) 16.25% (B) 8.25% (C) 4.25% (D) 6.25% (E) 7.25%
Answer: D
Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Jam Street. What is the highest-numbered street that intersects Egg Street? Answer Choice: (A) 52nd (B) 53rd (C) 54th (D) 56th (E) 57th
Answer: C
On flipping 3 coins together what is the outcomes for at least three tails? Answer Choice: (A) {HHH, HHT, HTH, THH} (B) {HHT, HHT, HTH, THH} (C) {TTH, HHT, HTH, THH} (D) {TTT, HHT, HTH, THH} (E) None
Answer: E
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1) Answer Choice: (A) II only (B) I and II (C) II and III (D) I only (E) I and III
Answer: B
In a series of six consecutive even numbers, the sum of the fifth and sixth numbers is 42. What is the second number? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 18 (E) 16
Answer: C
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: Answer Choice: (A) 20 (B) 30 (C) 40 (D) None of these (E) Either (a) or (b)
Answer: A