loafeihong/math_mmlu_format huggingface dataset:
The ratio of boys and girls in a college is 5:6.if 25% of boys and 25%of girls are scholarship holders.then what percentage of students does not get the scholarship? Answer Choice: (A) 89% (B) 78% (C) 85% (D) 65% (E) 75%
Answer: A
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
If population of certain city increases at the rate of 4%. If population in 1981 was 138910, then population in 1979 was? Answer Choice: (A) 12,0000 (B) 130000 (C) 128130 (D) 627000 (E) 12690
Answer: C
Silk is purchased for $250 per square yard at the Silk Market. The silk is cut into patterns and made into s-size shirts - the excess silk is discarded (1/5 of the silk material). The area is 2 square yards in the pattern that makes 1 side of an s-size shirt. If 2 sides make one shirt, how much money is needed to buy silk to make x number of s-size shirts, in dollars? Answer Choice: (A) 2x (B) 15x/8 (C) 850x (D) 1,250x (E) 3,000x/2
Answer: D
Two cars cover the same distance at the speed of 56 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. Answer Choice: (A) 373 (B) 338 (C) 448 (D) 838 (E) 939
Answer: C
Insert the missing number. 12, 25, 49, 99, 197, 395, (...) Answer Choice: (A) 789 (B) 722 (C) 812 (D) 779 (E) 1579
Answer: A
A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently five spaces behind player B, what is the probability that player B will be frozen after player A rolls? Answer Choice: (A) 1/12 (B) 5/36 (C) 1/9 (D) 1/3 (E) 17/36
Answer: C
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%? Answer Choice: (A) 1500 (B) 1000 (C) 2000 (D) 3000 (E) 3500
Answer: B
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 50 films, and broke even on none of them, how many of their films were profitable? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 49
Answer: E
A number is missing from the number series below.
Can you find it ?
84, 155, ?, 399 , 584, 819. Answer Choice: (A) 275 (B) 350 (C) 399 (D) 258 (E) 449
Answer: D
Total dinning bill for 7 people was $211.00.If they add 15% tip and divided the bill evenly ,
approximate.What was each persons find share$ Answer Choice: (A) 30.14 (B) 34.66 (C) 32.4 (D) 32.29 (E) 33.16
Answer: B
sushi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If sushi 's savings by the end of the year from these monthly savings were seven times the amount she spent per month, what should be the fraction of her salary that she spent each month? Answer Choice: (A) 12/19 (B) 12/20 (C) 19/12 (D) 12/17 (E) 12/13
Answer: A
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 160 vote’s majority. What is the total number of votes polled? Answer Choice: (A) 750 (B) 400 (C) 800 (D) 850 (E) None of these
Answer: B
Prints a page 30 pg per min .If the printed for 2 hours except 10 min.Where there
was an paper jam,how many page did it print Answer Choice: (A) 10,880 (B) 3,300 (C) 14,880 (D) 8,880 (E) 18,880
Answer: B
solve this logic number sequence( based on circles in digits) puzzle by the correct digit?
8080=6
1357=0
2022=1
1999=3
6666=? Answer Choice: (A) 6 (B) 4 (C) 8 (D) 2 (E) 5
Answer: B
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Answer Choice: (A) 32:48 (B) 32:40 (C) 32:45 (D) 32:46 (E) 32:41
Answer: C
A sum fetched total simple interest of 4016.25 at the rate of 11 p.c.p.a. in 5 years. What is the sum? Answer Choice: (A) 8925 (B) 8032.5 (C) 7302.3 (D) 8900 (E) None of these
Answer: C
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long? Answer Choice: (A) 40 sec (B) 42 sec (C) 44 sec (D) 48 sec (E) 50 sec
Answer: C
An aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of: Answer Choice: (A) 520 (B) 288 (C) 820 (D) 740 (E) 720
Answer: B
The present worth of Rs.1183 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.1093.75 (E) None
Answer: D
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 40 now, the son age 5 years back was Answer Choice: (A) 14 (B) 17 (C) 15 (D) 19 (E) 99
Answer: C
A rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered. If the area of the field is 880 sq. feet, how many feet of fencing will be required? Answer Choice: (A) 75.4 feet (B) 98.4 feet (C) 95.4 feet (D) 85.4 feet (E) 92.4 feet
Answer: C
At a dinner party 7 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group? Answer Choice: (A) 5 (B) 10 (C) 5000 (D) 5040 (E) 120
Answer: D
In a convention where they distributes prizes. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any number of prizes? Answer Choice: (A) 58 (B) 60 (C) 64 (D) 68 (E) 90
Answer: C
Find the area of trapezium whose parallel sides are 30 cm and 18 cm long, and the distance between them is 15 cm. Answer Choice: (A) 227 (B) 299 (C) 360 (D) 161 (E) 212
Answer: C
A store sells women purses for $50 each and men's wallets for $40 each. On every women purse, the store makes a profit of $10 while on every men's wallet it makes a profit of $6. If on a given day the store's sales amounted to $1000, which of the following cannot be the profit made on that day? Answer Choice: (A) 140 (B) 150 (C) 160 (D) 200 (E) 180
Answer: A
A + B = C
D - C = A
E - B = C
Based on the above equations, can you find out the outcome for:
D + F=? Answer Choice: (A) 15 (B) 14 (C) 13 (D) 12 (E) 10
Answer: E
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. 685.60
Answer: C
Thomas's age and Matt's age are in the ratio 3:5. Two years ago the ratio of their ages was 5:9. Find the ratio of their ages four years hence? Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5 (E) 5:6
Answer: B
The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is 42, then average for last four matches is Answer Choice: (A) 33.25 (B) 32.25 (C) 34.25 (D) 34.5 (E) None of these
Answer: C
The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9
Answer: A
In how many ways can a committee of 5 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls? Answer Choice: (A) 67 (B) 64 (C) 65 (D) 66 (E) None of these
Answer: D
5216 × 51 = ? Answer Choice: (A) 266015 (B) 266014 (C) 266016 (D) 266116 (E) 266226
Answer: C
The division of a whole number N by 13 gives a quotient of 28 and a remainder of 2. Find N. Answer Choice: (A) 797 (B) 197 (C) 582 (D) 366 (E) 297
Answer: D
S is a set containing 6 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? Answer Choice: (A)  The median of S is prime. (B)  The median of T is prime (C)  The median of S is equal to the median of T. (D)  The sum of the terms in S is prime. (E)  The sum of the terms in T is prime.
Answer: D
A child must place 6 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins? Answer Choice: (A) 6^6 (B) 6^4 (C) 4^6 (D) 4^4 (E) 6^4-4^6
Answer: C
If –1 < x <0 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2 Answer Choice: (A)  I only (B)  II only (C)  III only (D)  II and III only (E)  I, II, and III
Answer: B
If the number 91876*2 is completely divisible by 8, then the smallest whole number in place of * will be? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) None of these
Answer: C
A man walking at a rate of 15km/hr crosses a bridge in 10 minutes. The length of the bridge is? Answer Choice: (A) 500m (B) 1110m (C) 950m (D) 1000m (E) 1300m
Answer: A
which number need to add to 859622 to get a number exactly divisible by 456? Answer Choice: (A) 678311 (B) 546576 (C) 465767 (D) 678980 (E) 859622
Answer: E
10 books are placed at random in a shelf. The probability that a pair of books will always be together is Answer Choice: (A) 1/10 (B) 9/10 (C) 1/5 (D) 3/10 (E) 1/2
Answer: C
A company bought for its 6 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer. Answer Choice: (A) 60 (B) 210 (C) 256 (D) 292 (E) 312
Answer: A
A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 25 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)] Answer Choice: (A) 1/4 (B) 7/12 (C) 2/3 (D) 7/8 (E) 9/7
Answer: E
What is the next number of the following sequence
21,77,165,285,...... Answer Choice: (A) 434 (B) 435 (C) 436 (D) 437 (E) 438
Answer: D
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay? Answer Choice: (A) 240 (B) 227 (C) 268 (D) 198 (E) 176
Answer: A
Two cubes have their volumes are in the ratio 1:27. Find the ratio of their surface area? Answer Choice: (A) 1:2 (B) 2:3 (C) 1:9 (D) 2:7 (E) 3:11
Answer: C
If ty > 0 and yz < 0, which of the following must be negative: Answer Choice: (A) tyz (B) ty(z^2) (C) t(y^2)z (D) t(y^2)(z^2) (E) (x^2)(y^2)(z^2)
Answer: C
A certain bacteria colony doubles in size every day for 19 days, a which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit? Answer Choice: (A) 6.33  (B) 7.5  (C) 10  (D) 15  (E) 18
Answer: E
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is? Answer Choice: (A) 1/4 (B) 1/2 (C) 1/8 (D) 1/0 (E) 1/1
Answer: B
The average of five numbers id 29. If one number is excluded, the average becomes 25. What is the excluded number? Answer Choice: (A) 30 (B) 40 (C) 32.5 (D) 45 (E) 37
Answer: D
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 9 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 2/5 Km (B) 3 1/5 Km (C) 4 1/5 Km (D) 5 1/5 Km (E) None
Answer: A
The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 70 kg. What might be the weight of the new person? Answer Choice: (A) 94 kg (B) 85 kg (C) 90 kg (D) 100 kg (E) 110 kg
Answer: A
A soccer store typically sells replica jerseys at a discount of 30 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 E of the list price is the lowest possible sale price? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 40 (E) 50
Answer: D
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 4 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A)  200 (B)  325 (C)  565 (D)  625 (E)  700
Answer: D
in how many ways can a letters of word "BALLOON" is arranged so that two Ls do not come together Answer Choice: (A) 600 (B) 700 (C) 840 (D) 900 (E) 920
Answer: D
If 625^(-x) + 25^(-2x) + 5^(-4x) = 14, what is the value of x? Answer Choice: (A) -4 (B) -1/4 (C) 0 (D) 1/4 (E) 4
Answer: D
How many different ways can you select a pilot and a co pilot if you have 50 people to choose from? Answer Choice: (A)  199 (B)  200 (C)  398 (D)  2450 (E)  9900
Answer: D
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number W of integers that can be negative? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: D
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability that one more throw to this series will increase the mean score? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: C
If there are three sum of money P, Q and R so that P is the simple interest on Q and Q is the simple interest of R, rate % and time are same in each case, then the relation of P, Q and R is given by Answer Choice: (A) P2 = QR (B) Q2 = PR (C) R2 = PQ (D) PQR = 100 (E) None of these
Answer: B
A certain lab experiments with white and brown mice only. In one experiment, 2/4 of the mice are white. If there are 16 brown mice in the experiment, how many mice in total are in the experiment? Answer Choice: (A) 32 (B) 36 (C) 34 (D) 39 (E) 42
Answer: A
A certain characteristic in a large population has a distribution that is symmetric about the mean a. If 68% of the distribution lies one standard deviation d of the mean, what percent of the distribution is less than a+d? Answer Choice: (A)  16% (B)  32% (C)  48% (D)  84% (E)  92%
Answer: D
For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^4 -S(n+1).in addition ,S2=1.then which of the following must be true. Answer Choice: (A) a)S4 +S3 +1=0 (B) b)(S1)^2 +S4 +2=0 (C) c) ifS1=-1thenS4 is also equal to-1. (D) d) ifS4 =-7thenS1=-2. (E) e) ifS1 =-3thenS4=-7
Answer: C
A grocer has a sale of Rs. 3435, Rs. 3920, Rs. 3855, Rs. 4230 and Rs. 3560 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 3500? Answer Choice: (A) 500 (B) 1000 (C) 6000 (D) 7000 (E) 2000
Answer: E
How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10? For example, 16 +17+18+19=70. Answer Choice: (A) 22 (B) 200 (C) 87 (D) 99 (E) 77
Answer: B
The radius of a circle is increased by 1%. Find how much % does its area increases? Answer Choice: (A) 2.07% (B) 2.71% (C) 2.41% (D) 2.01% (E) 2.31%
Answer: D
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is? Answer Choice: (A) 12 (B) 26 (C) 16 (D) 97 (E) 12
Answer: C
David covered a distance of 50 miles on his first trip. On a later trip he traveled 450 miles while going three times as fast. His new time compared with the old time was: Answer Choice: (A) twice as much (B) three times as much (C) the same (D) half as much (E) a third as much
Answer: B
An amount of Rs.1000 is divided between 5 persons. Each man gets Rs.250 while each woman gets Rs.125. Find the number of men and women. Answer Choice: (A) 2 men, 3 women (B) 4 men, 1 woman (C) 1 man, 4 women (D) 3 men, 2 women (E) None of the above
Answer: D
An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings? Answer Choice: (A) 18 (B) 30 (C) 60 (D) 120 (E) 216
Answer: C
How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: B
Company X provides bottled water to its employees in 5 liter bottles, $3 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 20L bottle each paid off? (Assume that no other costs apply) Answer Choice: (A)  15 (B)  17 (C)  19 (D)  20 (E)  21
Answer: C
sunil start from home at 4 pm and reaches school everyday at 5pm to pick up his children.on saturday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 15min early.if speed of sunil is 35km/hr then for how many min did children walk? what is speed of children??? Answer Choice: (A) 4 km/hr. (B) 5 km/hr. (C) 6 km/hr. (D) 7 km/hr. (E) 8 km/hr.
Answer: B
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram? Answer Choice: (A) 833 1/7 grams (B) 833 1/3 grams (C) 833 8/3 grams (D) 883 1/3 grams (E) 832 1/3 grams
Answer: B
What number should replace the question mark in this series?
13 44 88 176 847 ? Answer Choice: (A) 1495 (B) 1595 (C) 1695 (D) 1458 (E) 1795
Answer: B
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Answer Choice: (A) 70 m (B) 60 m (C) 80 m (D) 90 m (E) 100 m
Answer: B
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 21 years(the child was born during the interval). What is the present age of the child? Answer Choice: (A) 7 years (B) 9 years (C) 6 years (D) 4 years (E) 5 years
Answer: A
If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 6z^2 Answer Choice: (A) 1 (B) 2 (C) 3 (D) 2 (E) 1 and 3
Answer: D
2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in meters. Answer Choice: (A) 110 (B) 111 (C) 113 (D) 112 (E) None of them
Answer: D
A and B start a business jointly. A invests Rs.18000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Answer Choice: (A) A)Rs.12829 (B) B)Rs.14400 (C) C)Rs.12293 (D) D)Rs.12804 (E) E)Rs.12830
Answer: B
Rajat, Vikas and Abhishek are submitting questions in the ratio 7:3:2. If total number of questions submitted by them is 24. Find the number of questions submitted by Vikas. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 6 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 3 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
In a class, candies were distributed among the children. Each child got candies equal to one-eighth of the total number of children in the class. If the number of children were half of the present number of children, then each child would have received 16 candies in total. Find the total number of candies distributed. Answer Choice: (A) 450 (B) 598 (C) 512 (D) 658 (E) 544
Answer: C
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Answer Choice: (A) 187 sq.cm (B) 877 sq.cm (C) 279 sq.cm (D) 279 sq.cm (E) 600 sq.cm
Answer: E
In what ratio must tea at Rs.62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg? Answer Choice: (A) 3:1 (B) 2:1 (C) 5:2 (D) 3:2 (E) 3:4
Answer: A
What is the average (arithmetic mean) of all the multiples of ten from 10 to 180 inclusive? Answer Choice: (A) 90 (B) 95 (C) 100 (D) 105 (E) 110
Answer: A
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? Answer Choice: (A) 219 (B) 246 (C) 252 (D) 262 (E) 270
Answer: A
The average of 10 numbers was calculated as 16. It is discovered later on that while calculating the average, one number, namely 46, was incorrectly read as 26. What is the correct average? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 22
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)  50% (E)  60%
Answer: E
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 1/5 Km (B) 2 1/5 Km (C) 4 Km (D) 4 1/5 Km (E) 3 3/5 Km
Answer: A
What amount does an investor receive if the investor invests $6000 at 10% p.a. compound interest for two years, compounding done annually? Answer Choice: (A) $6980 (B) $7070 (C) $7120 (D) $7260 (E) $7340
Answer: D
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 6 (E) 5
Answer: A
The smallest number which when diminished by 9, is divisible 13, 26, 39, 52 and 65 is: Answer Choice: (A) 789 (B) 769 (C) 790 (D) 787 (E) 788
Answer: A
Set A is {1, 3, 5, 7, 9}
Set B is {8, 10, 12, 14, 16}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A. Answer Choice: (A) I only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III
Answer: B
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 8 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible? Answer Choice: (A) 8 + 4 + 10 (B) 8 × 4 × 10 (C) 21 × 20 × 19 (D) 8! + 4! + 10! (E) 8! × 4! × 10!
Answer: B
If you wish to live to be 100 years old (hypothetically), you must consume 500 calories less than your Average Daily Allowance for your age. If you are in your 60's, and your Average Daily allowance is 2000 calories per day, how many calories are you allowed in a week? Answer Choice: (A) 7000 (B) 10500 (C) 14000 (D) 12000 (E) 3500
Answer: B
How many pieces can a square pizza be cut into by making 5 linear cuts? Answer Choice: (A) 16 (B) 17 (C) 13 (D) 14 (E) 15
Answer: A
A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it? Answer Choice: (A) 84 days (B) 84 ½ days (C) 85 days (D) 87 days (E) 89 days
Answer: C
A cement mixture is composed of 3 elements. By weight, 1/5 of the mixture is sand, 3/4 of the mixture is water, and the remaining 6 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds? Answer Choice: (A) 100 (B) 120 (C) 130 (D) 140 (E) 150
Answer: B