loafeihong/math_mmlu_format huggingface dataset:
The marching band is made up of 140 musicians. The band wants to form a rectangular formation with A people in a row and B people in a column. If the number of people in a row is more than 4 and less than 35, how many different combinations of rectangular shapes are possible? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
The average of 20, 40 and 150 is twice the average of 10, 30, and which of the following ? Answer Choice: (A) 1)10 (B) 2)30 (C) 3)65 (D) 4)90 (E) 5)180
Answer: C
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? Answer Choice: (A) 170 (B) 200 (C) 626 (D) 207 (E) 227
Answer: B
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party? Answer Choice: (A) 14 (B) 18 (C) 11 (D) 17 (E) 12
Answer: E
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is? Answer Choice: (A) 228 (B) 288 (C) 200 (D) 288 (E) 111
Answer: C
A fellow borrowed a certain sum of money at 4% per annum at simple interest and in 4 years the interest amounted to Rs.1260 less than the sum lent. What was the sum lent? Answer Choice: (A) 1050 (B) 1220 (C) 1500 (D) 1060 (E) 1110
Answer: C
On the first day of her vacation, Louisa traveled 250 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 250-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour? Answer Choice: (A) 31 (B) 33.33 (C) 35 (D) 37 (E) 39.33
Answer: B
A certain bakery baked a batch of 470 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch? Answer Choice: (A) 166 (B) 293 (C) 413 (D) 438 (E) 511
Answer: B
An amount of money is to be divided between M, N and O in the ratio of 3:7:12. If the difference between the shares of M and N is Rs.2000, what will be the difference between N and O's share? Answer Choice: (A) 1266 (B) 3000 (C) 2866 (D) 2500 (E) 2678
Answer: D
The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is: Answer Choice: (A) 20 (B) 40 (C) 60 (D) 80 (E) 100
Answer: C
The width of a rectangular hall is ½ of its length. If the area of the hall is 450 sq.m, what is the difference between its length and breadth? Answer Choice: (A) 8m (B) 10m (C) 12m (D) 15m (E) 17m
Answer: D
What percent of the different arrangements of the letters of the word AGAHUS are those in which the vowels appear together? Answer Choice: (A) 30% (B) 25% (C) 20% (D) 40% (E) 25%
Answer: C
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46.5 meters. How many times did the ball bounce? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
A club wants to mix 15 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60
Answer: B
A batsman of a cricket has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is: Answer Choice: (A) 48 runs (B) 52 runs (C) 55 runs (D) 60 runs (E) None of these
Answer: A
A man goes to shopkeeper and says that if u give me as much as i have ,i will spend Rs.10/- on ur shop. shopkeeper agrees and man moves to another shopkeeper ans asked same. at 3rd shop after all the transaction, he was left with no money. find the initial amount with the man Answer Choice: (A) 5.75 (B) 6.75 (C) 7.75 (D) 8.75 (E) 9.75
Answer: D
If a person walks at 15 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is? Answer Choice: (A) 50 km (B) 76 km (C) 18 km (D) 10 km (E) 97 km
Answer: D
The present age of a father is 3 years more than three times the age of his son. Five years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father. Answer Choice: (A) 33 (B) 38 (C) 27 (D) 40 (E) 48
Answer: C
What percent of the month of April is 20 days? Answer Choice: (A) 75% (B) 66,66% (C) 60% (D) 64,5% (E) 70%
Answer: B
If P represents the product of the first 14 positive integers, then P is NOT a multiple of Answer Choice: (A) 99 (B) 84 (C) 72 (D) 65 (E) 34
Answer: E
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.60 only. Menâ€™s wages are? Answer Choice: (A) 6Rs (B) 7Rs (C) 8Rs (D) 4Rs (E) 1Rs
Answer: D
Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age Answer Choice: (A) 12,28 (B) 14,30 (C) 16,32 (D) 18,34 (E) 19,34
Answer: B
On simplification, 3500 – (1000 ÷ 20.50) is equal to : Answer Choice: (A) 3451.21 (B) 3029.0 (C) 2993.03 (D) 2984.36 (E) None of these
Answer: A
An alloy weighing 16 ounces is 50% gold. How many ounces of pure gold must be added to create an alloy that is 80% gold? Answer Choice: (A) 24 (B) 18 (C) 9 (D) 27 (E) 18
Answer: A
Ben and King are partners in a business. Ben is a working partner and King is a sleeping partner in the business. Ben invested Rs.3500 and King invested Rs.7000. Ben receives 7% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.9600, how much did Ben receive? Answer Choice: (A) 2648 (B) 3648 (C) 3548 (D) 4648 (E) 3628
Answer: B
Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 3? Answer Choice: (A) 600 (B) 820 (C) 1040 (D) 1260 (E) 1480
Answer: D
The average age of three boys is 10 years and their ages are in proportion 2:4:4. What is the age in years of the youngest boy? Answer Choice: (A) 6 (B) 9 (C) 8 (D) 4 (E) 2
Answer: A
Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 30 percent of the employees prefer City Y and 70 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer? Answer Choice: (A)  65 (B)  110 (C)  115 (D)  130 (E)  135
Answer: B
How many zeros are the end of 380! ? Answer Choice: (A) 90 (B) 91 (C) 94 (D) None (E) 95
Answer: C
(0.0077)(3.6) / (0.04)(0.1)(0.007)= Answer Choice: (A) 0.099 (B) 0.0099 (C) 9.9 (D) 990 (E) 99
Answer: D
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 35 hours, 50 percent worked 40 hours, and the rest worked 50 hours? Answer Choice: (A)  $180,000 (B)  $185,000 (C)  $190,000 (D)  $207,500 (E)  $205,000
Answer: D
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by: Answer Choice: (A) 21 m (B) 26 m (C) 28m (D) 29m (E) 30m
Answer: C
The radius of the two circular fields is in the ratio 3: 7 the area of the first field is what percent less than the area of the second? Answer Choice: (A) 82.9% (B) 84.2% (C) 81.0% (D) 80.6% (E) 81.6%
Answer: E
If the perimeter of a rectangular playground is 1200 m, its length when its breadth is 500 m is? Answer Choice: (A) 300 (B) 200 (C) 100 (D) 400 (E) 500
Answer: C
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1600 then loss of Pyarelal? Answer Choice: (A) 600 (B) 700 (C) 840 (D) 940 (E) 1440
Answer: E
A tradesman by means of his false balance defrauds to the extent of 14%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choice: (A) 54.6% (B) 29.96% (C) 24.45% (D) 24% (E) 45%
Answer: B
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall? Answer Choice: (A) 420 (B) 350 (C) 700 (D) 2,520 (E) 5,040
Answer: A
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) 28.99 (B) 23.52 (C) 23.51 (D) 23.56 (E) 23.57
Answer: E
The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is? Answer Choice: (A) Rs.502 (B) Rs.500 (C) Rs.520 (D) Rs.512 (E) Rs.132
Answer: B
1000 men have provisions for 18 days. If 400 more men join them, for how many days will the provisions last now? Answer Choice: (A) 12.9 (B) 12.8 (C) 12.6 (D) 12.2 (E) 12.1
Answer: B
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ? Answer Choice: (A) 47.5% (B) 44% (C) 50% (D) 35% (E) 38%
Answer: C
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: Answer Choice: (A) 21 (B) 21/41 (C) 21/47 (D) 21/45 (E) 21/46
Answer: E
A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around it. What is the area of the garden in square metres? Answer Choice: (A) 160.16 (B) 6.16 (C) 122.66 (D) Data inadequate (E) None of these
Answer: A
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,000, what is the bonds face value? Answer Choice: (A)  $6,000 (B)  $6,750 (C)  $6,400 (D)  $7,500 (E)  $9,375
Answer: C
If 100 microns = 1 decimeter, and 10,000 angstroms = 1 decimeter, how many angstroms equal 1 micron? Answer Choice: (A) 100 (B) 10 (C) 0.01 (D) 0.0001 (E) 0.0001
Answer: A
The product of all the prime numbers less than 15 is closest to which of the following powers of 10 ? Answer Choice: (A) 10^9 (B) 10^8 (C) 10^5 (D) 10^6 (E) 10^7
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue? Answer Choice: (A) 33/998 (B) 33/91 (C) 33/99 (D) 33/95 (E) 33/92
Answer: B
If the sum of the first n positive integers is S, what is the sum of the first n negative even integers, in terms of S ? Answer Choice: (A)  S/2 (B)  S (C)  2S (D)  2S + 2 (E)  4S
Answer: C
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 10% lemonade syrup? Answer Choice: (A) 1.5 (B) 1.75 (C) 2.14 (D) 2.34 (E) 2.64
Answer: C
12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3â„5 of the same job. How many days will 10 men and 8 women together take to complete the same job? Answer Choice: (A) 6 (B) 13 1â„2 (C) 14 3/5 (D) Data inadequate (E) None of these
Answer: C
Yearly subscription to professional magazines cost a company $940.00. To Make a 35% cut in the magazine budget, how much less must be spent? Answer Choice: (A) 654 (B) 655 (C) 611 (D) 657 (E) 658
Answer: C
The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 9 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made? Answer Choice: (A) 18 1/4 (B) 18 1/2 (C) 18 3/4 (D) 19 (E) 23
Answer: E
How many two-digit numbers are there whose remainder when divided by 13 is 1, and whose remainder when divided by 6 is 5? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
A boat can travel with a speed of 16 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 60 km downstream. Answer Choice: (A) 2 hours. (B) 3 hours. (C) 4 hours. (D) 5 hours. (E) 6 hours.
Answer: B
The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is Answer Choice: (A) 22 (B) 30 (C) 99 (D) 38 (E) 27
Answer: B
Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank? Answer Choice: (A) XV (B) XVI (C) XII (D) VII (E) VI
Answer: B
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? Answer Choice: (A) 197 (B) 219 (C) 120 (D) 165 (E) 287
Answer: C
A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is? Answer Choice: (A) 65 (B) 67 (C) 87 (D) 85 (E) 65
Answer: D
How many seconds will a 500 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 sec (B) 30 sec (C) 77 sec (D) 14 sec (E) 12
Answer: B
A woman has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Answer Choice: (A) 80 (B) 90 (C) 100 (D) 110 (E) None
Answer: B
At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party? Answer Choice: (A) 28 (B) 37 (C) 20 (D) 45 people (E) 27
Answer: D
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 3/4, 1/5 respectively. Find the probability of success of at least two. Answer Choice: (A) 11/30 (B) 12/50 (C) 13/30 (D) 3/50 (E) 4/50
Answer: A
Find the value of 4 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Answer Choice: (A) 800 (B) 3200 (C) 900 (D) 1600 (E) None
Answer: B
A drink vendor has 20 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required? Answer Choice: (A) 135 (B) 137 (C) 142 (D) 130 (E) 133
Answer: E
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio? Answer Choice: (A) 29:32 (B) 21:34 (C) 21:22 (D) 31:20 (E) 21:39
Answer: C
nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them? Answer Choice: (A) 132 (B) 451 (C) 175 (D) 145 (E) 117
Answer: E
(a-b)/(c/2)
In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the least possible value of the expression? Answer Choice: (A) 1/4` (B) 2/4 (C) 4/2 (D) 1/2 (E) 3/4
Answer: B
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 25 (C) 26 (D) 28 (E) 29
Answer: A
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $10 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000? Answer Choice: (A) 2,858 (B) 18,667 (C) 21,429 (D) 35,000 (E) 56,000
Answer: E
The HCF of two numbers is 40 and the other two factors of their LCM are 11 and 12. What is the largest number. Answer Choice: (A) 462 (B) 450 (C) 488 (D) 480 (E) 555
Answer: D
The speed at which a man can row a boat in still water is 10 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 60 metres? Answer Choice: (A) 18 seconds (B) 34 seconds (C) 14 seconds (D) 12 seconds (E) 15 seconds
Answer: A
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 80 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)  48 (C)  20 (D)  24 (E)  30
Answer: B
Find the number of factors of 180 that are in the form (4*k + 2), where k is a non-negative integer? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 6
Answer: E
What is the greatest number which divides 29, 32, 38 and leaves same remainder in each case? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
How many positive integers will divide evenly into 420? Answer Choice: (A) 8 (B) 12 (C) 16 (D) 18 (E) 20
Answer: B
A student chose a number, multiplied it by 3, then subtracted 138 from the result and got 102. What was the number he chose? Answer Choice: (A) 80 (B) 120 (C) 130 (D) 140 (E) 150
Answer: A
Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.20000 is saved. What is Ajayâ€™s income? Answer Choice: (A) Rs.40000 (B) Rs.80500 (C) Rs.60700 (D) Rs.70500 (E) None of these
Answer: A
if you invested $25000 and received $35251 after 10 years. what was the interest rate? Answer Choice: (A) 0.15% (B) 0.25% (C) 0.04% (D) 0.50% (E) 0.40%
Answer: E
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 14 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12 Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: E
What is the number of integers from 1 to 1100 (inclusive) that are divisible by neither 11 nor by 35? Answer Choice: (A) 884 (B) 890 (C) 892 (D) 910 (E) 945
Answer: E
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is: Answer Choice: (A) 5 : 2 (B) 7 : 3 (C) 9 : 2 (D) 13 : 4 (E) 13 : 6
Answer: B
A vendor sold two things at same cost of 15 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much Answer Choice: (A) 0.65 loss (B) 0.75 loss (C) 0.80 loss (D) 0.55 loss (E) 0.40 loss
Answer: B
If 3 pounds of dried apricots that cost x dollars per pound are mixed with 4 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture? Answer Choice: (A) (3x + 4y)/5 (B) (3x + 4y)/(x + y) (C) (3x + 4y)/(xy) (D) 5(3x + 4y) (E) 3x + 4y
Answer: A
What will be the cost of building a fence around a rectangular plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 50? Answer Choice: (A) A)Rs.3944 (B) B)Rs.3948 (C) C)Rs.3519.5 (D) D)Rs.3949 (E) E)Rs.3923
Answer: C
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.20 of money? Answer Choice: (A) 1500 (B) 1992 (C) 9921 (D) 2798 (E) 2000
Answer: E
What is the last number in a sequence of 5 consecutive integers, given that their sum is 335? Answer Choice: (A) 69 (B) 70 (C) 68 (D) 66 (E) 67
Answer: A
If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the smallest number? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: A
Amy invested Rs. 30000 @ 8% per annum for two years. If the interest is compounded quarterly, then the amount received by Amy at the end of the year will be? Answer Choice: (A) 35,147.89 (B) 35,149.87 (C) 35,148.97 (D) 35,147.98 (E) 35,149.78
Answer: E
Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit? Answer Choice: (A) 8820 (B) 8828 (C) 8628 (D) 8891 (E) 8812
Answer: C
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 7
Answer: B
Two water bottles are in side-by-side. One bottle, which is 25 inches tall, casts a shadow that is 50
inches long. The other bottle is 30 inches tall. Compute, in inches, the length of the shadow that
the taller bottle casts. Answer Choice: (A) 35 (B) 25 (C) 40 (D) 50 (E) 60
Answer: E
15 ants can move 600 sugar cubes of 10 grams each to their home in 5 hours. Then how many sugar cubes of 5 grams each, will 20 ants move in 3 hours? Answer Choice: (A) 360 (B) 480 (C) 720 (D) 960 (E) 1000
Answer: D
If w/x = 5/7 and w/y = 4/7, then (x + y)/y = Answer Choice: (A) 1/2 (B) 7/3 (C) 6/7 (D) 1/5 (E) 11/13
Answer: B
Which from the options has the highest value? Answer Choice: (A) A)23/77 (B) B)23/78 (C) C)23/84 (D) D)23/87 (E) E)23/43
Answer: E
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.8 kg. the weight of the new student is ? Answer Choice: (A) 10.6 kg (B) 10.8 kg (C) 11 kg (D) 14.9 kg (E) None
Answer: C
How many three-digit integers between 310 and 400, exclusive, are divisible by 3 when the ones digit and the hundered digit are switched? Answer Choice: (A) 3 (B) 19 (C) 22 (D) 30 (E) 90
Answer: D
An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 62 percent of the votes cast? Answer Choice: (A) 75% (B) 58% (C) 42% (D) 34% (E) 25.83%
Answer: E
A crate measures 2 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 12
Answer: A
If 4<(7-x)/2, which of the following must be true?
I. 5<x
II. |x+3|>2
III. -(x+5) is positive Answer Choice: (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II and III
Answer: B
If 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes Answer Choice: (A) 41 (B) 42 (C) 36 (D) 44 (E) 45
Answer: C
If a and b are positive integers and (2^a)^b = 2^2, what is the value of 2^a*2^b? Answer Choice: (A) 8 (B) 4 (C) 16 (D) 32 (E) 64
Answer: A
Dan's age after 20 years will be 7 times his age 4 years ago. What is the present age of Dan? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Answer: B
Marge has Q candies, where Q is an integer such that 20 < Q< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? Answer Choice: (A)  0 (B)  1 (C)  2 (D)  3 (E)  4
Answer: C
Find the compound ratio of (2:3), (5:3) and (2:5) is Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:9 (E) 3:2
Answer: D
The average weight of 8 persons increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ? Answer Choice: (A) 75 kg (B) 65 kg (C) 55 kg (D) 89 kg (E) 25 kg
Answer: D