MU-NLPC/Calc-aqua_rat huggingface dataset:
A college has classes from 10:00 AM until 1:55 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Select:  A) 38 min  B) 41 min  C) 40 min  D) 42 min  E) 43 min

Solution: The total time is 235 minutes.   There are four breaks of five minutes between the classes for a total of 20 minutes.   The total class time is 215 minutes.   215 / 5= 
215 / 5 = 43
43 minutes per class   The answer is 43 min.
Answer: E
The average expenditure of a labourer for 6 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is  Answers:
A) 70
B) 72
C) 75
D) 78
E) None of the above

Solution: Income of 6 months = (6 × 85) – debt   = 510 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 780   Average monthly income = 780 ÷ 10 = 78   Answer 78
Answer: D
Which of the following is always odd? Choose one
A) Sum of two odd numbers
B) Diff. of two odd numbers
C) Prod. of two odd numbers
D) none of these
E) Cannot be determined

Solution: Solution   Product of two numbers is always odd.   Answer Prod. of two odd numbers
Answer: C
Statement: Concerns have risen about air pollution in Indian cities. A recent report by the World Health Organization (WHO) states that of the 20 most polluted cities in the world, 13 are in India.
Action:
I. Pollution committee should immediately take certain measures to control the pollution levels in India.
II. Licenses of polluting industries should be cancelled and owners should be put behind the bars.  Pick one:
A) Only I follows
B) Only II follows
C) Either I or II follows
D) Neither I nor II follows
E) Both I and II follow

Solution: Explanation: Only one follows. The given statement describes the problem and the actions mention the solutions for the same. Second option is to be avoided because it is a negative and harsh approach. As listed in tips and tricks section also Options which are negative in nature and provide harsh solutions should be avoided.   Only I followsNSWER IS Only I follows
Answer: A
There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are blue cups?	Choose one.
A) 1/80  B) 1/88  C) 1/90  D) 1/95  E) 1/99

Solution: The number of ways of choosing 4 cups from the shelf is 12C4 = 495.   The number of ways of choosing 4 blue cups is 5C4 = 5.   P(4 blue cups) = 5/495=1/99.   The answer is 1/99.
Answer: E
What is the area of a triangle with the following vertices L(1, 3), M(3, 1), and N(3, 5) ?	Pick:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use it to solve this problem.   Though if you make a diagram minimum simple calculations will be needed:   Answer: 4.
Answer: B
John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 150% of John's weight. Which of these 5 people weighs the least?	Choose the correct choice from the following answers:
A) John	B) Susan	C) Sam	D) Mark	E) Lynn

Solution: John weighs twice as much as Susan --> J=2S --> John cannot weigh the least;   Susan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;   Mark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;   Lynn weighs 150% of John's weight --> L=1.9*J --> John cannot weigh the least (we already know that);   As you can see the answer is either Susan (S) or Mark (M). To compare their weights we should express their weights in regards of the same person: M=0.5*L=0.5*(1.5*J)=0.75*J and from J=2S, S=0.5*J --> Susan weights the least: Susan's weight is 50% of that of John and Mark's weight ismore than 50%of that of John.   Answer: Susan.
Answer: B
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.	Choose the correct choice from the following choices:
A) $ 50
B) $ 58
C) $ 52
D) $ 60
E) $ 12

Solution: Cost of 20 lollipops = $90   Sold each lollipop for $2   So he sold 20 lollipops for $(20 × 2) = $40   Loss = $(90 – 40) = $50   Therefore, loss = $ 50.   $ 50nswer:$ 50
Answer: A
A man buys an article for $100. and sells it for $120. Find the gain percent?
Choose the correct choice from the following options:
A) 10%
B) 15%
C) 25%
D) 20%
E) 30%

Solution: C.P. = $100   S.P. = $120   Gain = $20   Gain% = 20/100 *100= 
20/100 *100 = 20
20%   Answer is 20%
Answer: D
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:  Choose the correct choice from the following choices
A) Rs. 3100  B) Rs. 6240  C) Rs. 6500  D) Rs. 9600  E) Rs. 9000

Solution: Explanation:   To obtain Rs. 10, investment = Rs. 96.   To obtain Rs. 650, investment = Rs. 96	/10 *650=Rs. 6240.   ANSWER IS Rs. 6240
Answer: B
A car covers a distance of 624 km in 3 hours. Find its speed?
Choose the correct choice from the following choices
A) 104 kmph B) 194 kmph C) 208 kmph D) 174 kmph E) 101 kmph

Solution: 624/3= 
624/3 = 208
208 kmph   Answer:208 kmph
Answer: C
In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 4%.what is population of after 2 year.	Select:	A) 140	B) 141	C) 142	D) 143	E) 147

Solution: next year total population=[150^2+90^2]^.5=174.92=175   man decreased by 4% so total man =150*.96= 
150*.96 = 144
144   women will be= 175-144= 
175-144 = 31
31   so population after two years= [135^2+31^2]^.5=147.30=147   so population after two year= 147   ANSW147R:147
Answer: E
If x^2 – 3x = 18, then one possible value of x – 4 =	Pick one:
A) -9
B) -5
C) -3
D) -1
E) 2

Solution: x^2 – 3x = 18   i.e. x^2 – 3x - 18 = 0   i.e. x^2 –6x + 3x - 18 = 0   i.e. (x-6)(x+3) = 0   i.e. x = 6 or -3   i.e. x-4 = 6-4 or -3-4   i.e. x-4 = 2 or -7   Answer: Option 2
Answer: E
In a class, there are 24 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? Choose the most appropriate option.
A) 6  B) 12  C) 18  D) 16  E) 26

Solution: Explanation:   Let the number of boys be x. Then, (3/4)x = 24 or x = 24 x(4/3) = 32.   If total number of students is y, then (2/3) y = 32 or y = 32 x (3/2) = 48.   Therefore Number of girls in the class = (48 - 32)= 
(48 - 32) = 16
16.   Answer: 16
Answer: D
In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 30% of all the employees are men .What % of all the employee went to the picnic?
Select:
A) 33%
B) 34%
C) 35%
D) 36%
E) 37%

Solution: total men in company 30% means total women in company 70%(assume total people in company 100%)   no of men employees attended picnic=30x(20/100)=6   no of women employees attended picnic=70x(40/100)=28   total percentage of employees attended the picnic=6+28= 
6+28 = 34
34%   ANSWER:34%
Answer: B
How many even 4-digit numbers can be formed, so that the numbers are divisible by 4 and no two digits are repeated?	Pick one.
A) 336	B) 784	C) 1120	D) 1804	E) 1936

Solution: Number is divisible by 4 if the last two digits form a number divisible by 4.   Therefore last two digits can be:   00;   04;   08;   12   16;   ...   96.   Basically multiples of 4 in the range 0-96, inclusive. Multiples of 4 in a range 0-96, inclusive are last multiple in the range − first multiple in the range4+1=25last multiple in the range − first multiple in the range4+1=25   But 3 numbers out of these 25 are not formed with distinct digits: 00, 44, and 88. Hence the numbers we are looking for can have only 22 endings.   If there is 0 in the ending (04, 08, 20, 40, 60, 80 - total 6 such numbers), then the first and second digit can take 8 and 7 choices each = 56 choices total. As there are 6 numbers with 0 in ending, hence total  6*56= 
 6*56 = 336
336.   If there is no 0 in the ending (total 22 - 6= 
22 - 6 = 16
16 such numbers), then the first digit can take 7 choices (10 - 2 digits in the ending and zero, so total 3 digits= 7, as 4-digit number can not start with zero) and the second digit can take 7 choices too (10 digits - 3 digits we've already used) = 7*7= 
7*7 = 49
49 choices total. As there are 16 numbers without zero in ending, hence total  16*49= 
 16*49 = 784
784.   TOTAL:  336+784= 
 336+784 = 1_120
1120   Answer: 1120.
Answer: C
A retailer bought a coat at wholesale and marked it up 90% to its initial price of $76. By how many more dollars does he need to increase the price to achieve a 100% markup?  Choose the correct choice.
A) 2  B) 4  C) 6  D) 8  E) 10

Solution: Let x be the wholesale price.   Then 1.9x= 76 and x = 76/1.9= 
76/1.9 = 40
40.   To achieve a 100% markup, the price needs to be $80.   The retailer needs to increase the price by $4 more.   The answer is 4.
Answer: B
If an object travels at ten feet per second, how many feet does it travel in two hours?	Answers:
A) 60000 B) 30000 C) 18000 D) 72000 E) 22200

Solution: If an object travels at 10 feet per second it covers 10x60 feet in one minute, and 10x60x2x60 feet in two hour.   Answer = 72000 Answer: 72000
Answer: D
what is the least number. which should be added to 0.0568 to make it a perfect square?
Pick:  A) 0.0004  B) 0.0009  C) 0.0002  D) 0.0003  E) 0.0008

Solution: 0.0568+0.0008= 
0.0568+0.0008 = 0.0576
0.0576   (0.24)^2   ANSW0.0008R:0.0008
Answer: E
If M and N are positive integers and M = 15N - 1, what is the remainder when M is divided by 5?  Choose the correct choice from the following answers:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution.   We're told that M and N are POSITIVE INTEGERS and M = 15N - 1. We're asked for the REMAINDER when M is divided by 5.   IF....   N = 1   M = 14   14/5 = 2 remainder 4   Final Answer:   4
Answer: E
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 30∘, the temperature of Friday was :  Choose the correct choice: A) 40∘ B) 39∘ C) 38∘ D) 30∘ E) None of these

Solution: Explanation:   M+T+W+Th=(4×38)=152   Monday temparature is 30. So T+W+Th=(152-30)= 
(152-30) = 122
122   T+W+Th+F=(4×40)=160   F = (160-122)= 
(160-122) = 38
38∘   38∘orrect Option: 38∘
Answer: C
Fred and Sam are standing 40 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 4 miles per hour and Sam walks at a constant speed of 4 miles per hour, how many miles has Sam walked when they meet?  Answers.
A) 5 B) 9 C) 20 D) 30 E) 45

Solution: relative distance =40 miles   relative speed =4+4= 
4+4 = 8
8 miles per hour   time taken=40/8= 
40/8 = 5
5 hours   distance travelled by sam=4*5= 
4*5 = 20
20 miles=20
Answer: C
What day of the week will 22 Apr 2222 be?
Pick:  A) Monday  B) Tuesday  C) Sunday  D) Thursday  E) Saturday

Solution: Explanation:   22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)   We know that number of odd days in 400 years = 0   Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)   Number of odd days in the period 2001-2200   = Number of odd days in 200 years   = 5 x 2 = 10 = 3   (As we can reduce perfect multiples of 7 from odd days without affecting anything)   Number of odd days in the period 2201-2221   = 16 normal years + 5 leap years   = 16 x 1 + 5 x 2 = 16 + 10= 
16 + 10 = 26
26= 5 odd days   Number of days from 1-Jan-2222 to 22 Apr 2222   = 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112   112 days = 0 odd day   Total number of odd days = (0 + 3 + 5 + 0)= 
(0 + 3 + 5 + 0) = 8
8= 1 odd day   1 odd days = Monday   Hence 22 Apr 2222 is Monday.   Mondaynswer: Option Monday
Answer: A
If q, r, and s are consecutive even integers and q < r < s, which of the following CANNOT be the value of s^2 – r^2 – q^2? Choose the correct option:
A) -20 B) 0 C) 8 D) 12 E) 16

Solution: s > r > q are consecutive even integers   Testing for s2−r2−q2   I: For s = 0, r = -2, q = -4,   s2−r2−q2=−20   II: For s = 2, r = 0, q = -2   s2−r2−q2=0   III: For s = 4, r = 2, q = 0   s2−r2−q2=12   Step II & Step III have consecutive representation of values of s, r, q. No other combination is possible.   8 cannot be the answer as for value of s = 6 & above, the resultant would be greater than 12   Answer = 8
Answer: C
A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?  Choose the most appropriate option:	A) 0.25	B) 0.15	C) 0.35	D) 0.45	E) 0.4

Solution: Each ball has an equal probability of being the third ball drawn.   P(3rd ball is red) = 3/12= 
3/12 = 1/4 = around 0.25
0.25   The answer is 0.25.
Answer: A
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/5 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
Answers:
A) 4/5  B) 8/15  C) 11/15  D) 9/20  E) 13/20

Solution: (1/2)X = (1/4)Y   (1/4)Y + (2/5)Y = (13/20)Y   The answer is 13/20.
Answer: E
A certain team consists of 4 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)  Choose the correct answer.
A) 74	B) 85	C) 96	D) 107	E) 118

Solution: The total number of ways to form a group of 3 from 9 people is 9C3 = 84   The number of ways to form a group without a professor is 5C3 = 10   The total number of ways to form a valid group is   84 - 10= 
  84 - 10 = 74
74.   The answer is 74.
Answer: A
An plane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of ? Select the correct option
A) 100 B) 720 C) 1100 D) 940 E) 860

Solution: We know   Distance = speed * time   = 240 * 5= 
240 * 5 = 1_200
1200 km   Now to cover 1200 km in 5/3 hrs ,   speed= distance / time   = 1200 / (5/3)= 
1200 / (5/3) = 720
720 KMPH   Ans- 720
Answer: B
The sector of a circle has radius of 21 cm and central angle 270o. Find its perimeter?
Choose the correct choice from the following answers
A) 145 cm
B) 135 cm
C) 121 cm
D) 141 cm
E) 151 cm

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (270/360 * 2 * 22/7 * 21) + 2(21)   = 99 + 42= 
99 + 42 = 141
141 cm   Answer: 141 cm
Answer: D
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?	Choose the correct answer
A) 2221  B) 2882  C) 3600  D) 2882  E) 1271

Solution: P = 144(100/5)2 => P = 3600.Answer: 3600
Answer: C
In a certain country vehicle number plates come in a certain format - XXX - XXXX . The first 3 places are filled with letters of an alphabet and the next 4 spaces are filled with numbers starting from 0001. What is the maximum number of vehicle number plates that we can have.  Select the correct option.
A) 175742424	B) 175742425	C) 175742434	D) 175742444	E) 100000000

Solution: The first set of XXX can be filled with letters only.   So the number of ways is 26*26*26 (Since there are 26 letters in an alphabet and we can use any letter in all 3 places, since repetition is allowed)   The second set of XXXX can be filled with numbers ranging from 0,1,2,3,4,5,6,7,8,9   Number of ways by which we can have letters in this is 10 * 10 * 10 * 10 since we can have any number at any place, since repetition is allowed   = (10*10*10*10) - 1 (we are subtracting 1 since one of the numbers can be 0000 which is not allowed since numbers start with 0001)   Total number of vehicles can be   =26*26*26 * (10000-1)= 
26*26*26 * (10000-1) = 175_742_424
175742424   175742424nswer: 175742424
Answer: A
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?  Choose the correct choice
A) 20
B) 45
C) 55
D) 90
E) 95

Solution: number of handshakes = 10C2= 10*9/2= 
10*9/2 = 45
45   ANSWER:45
Answer: B
A 600 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?  Pick: A) 800 B) 700 C) 360 D) 370 E) 380

Solution: Speed = 600/18 = 100/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 100/3   => x = 1300 m.   L=1300-600= 
1300-600 = 700
700m   Answer: Option 700
Answer: B
For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^3 -S(n+1).in addition ,S2=1.then which of the following must be true.	Choose the most appropriate option:
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

Solution: Since all the answers include S4, let's start from there.   S4=S2^2-S3   S3=S1^2-S2   Substituting S3 into the first equation we get:   S4=S2^2-(S1^2-S2)   Since S2=1   S4=1-(S1^2-1)   S4=2-S1^2   We need S1^2 in order to calculate S4.   E) provides S1 and from there we can calculate S4:   S4=2-(-3)^2   S4=-7   Correct.   As a side note, I would be very careful with answers in the formif S4=x then S1=y(such as option D ), as we are dealing with S1^2 (not S1), S1 can have two different values and it can not be determined for sure which root is the right answer.   For example:   If S4=-7 then S1=3 :   if we substitute S4 with - 7 we get:   -7=2-S1^2   S1^2=9   now S1 can be +/-3 !!   d) ifS4 =-7thenS1=-2.
Answer: D
CP of 2 buffaloes are Rs30,000. By selling 1 at a loss of 15% and other at a profitof 19%, he foundthat SP of both buffaloes is the same. Find the CP of each? Choose the correct choice:
A) Rs. 8,500  B) Rs.10,500  C) Rs.11,000  D) Rs.11,500  E) Rs.12,500

Solution: Let the C.P of 1st buffalo = x   ∴C.P of 2nd buffalo = 30,000 - x   S.P of 1st buffalo = ( 100 - loss% )   ------------------- x C.P   100   S.P = 100 - 15x   -----------= 85x/ 100   100   S.P of 2nd buffalo = ( 100 - Profit%)   --------------------- x C.P   100   S.P = (100 + 19)(30,000- x) 119(30,000 -x)   -------------------- = ----------------   100 100   S.P of 1st buffalo = S.P of 2nd buffalo   85x/ 100 = 119 ( 30,000 - x)/ 100   ⇒ 85x = 119(30,000 - x)   ⇒ 85x = 3,570,000 - 119x   ⇒ 85x + 119 x = 3,570,000   ⇒ 204x = 3,570,000   ⇒ x = 3,570,000 / 204   ⇒ x = Rs.17,500   C.P of 1st buffalo = Rs.17,500   C.P of 2nd buffalo = 30,000 - 17,500 = Rs.12,500   Rs.12,500
Answer: E
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)=
Choices
A) p-1	B) p-2	C) (p+1)/2	D) (p-1)/2	E) 2

Solution: Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.   p-1nswer: p-1.
Answer: A
There was a grandmother in a village that had a grandchild. Upon asking her grandchild’s age she told that she is as older as many days old as her daughter’s age in weeks and as many days as her own age in years. The sum of the ages of three is 130. Then how old is the child?
Choose the most appropriate option
A) 127 B) 117 C) 137 D) 147 E) 157

Solution: let the ages be a,b and c of grandmother,daughter and granddaughter respectively.   we have 3 equations as:   52b=365c   and a=365c   also,a+b+c=130   solving this,i m getting age of granddaughter about 127 days.   127NSWER:127
Answer: A
How many different positive numbers smaller than 2∗10^8 can be formed using the digits 1 and 2 only?  Choices:
A) 256
B) 510
C) 512
D) 766
E) 6561

Solution: Any combination of number starts with digit "2" is greater than 2*10^8   Total possible combinations with 1 and 2 = 2^9   Total possible combinations with 2 as starting digit = 2^8   Numbers smaller than 2*10^8 can be formed = 2^9 - 2^8   = 2^8(2-1)   = 256.   256nswer : 256
Answer: A
In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?  Choose the most appropriate option:
A) 124
B) 135
C) 146
D) 157
E) 168

Solution: Initially the number of gold coins and silver coins is 2k and 6k.   After adding gold coins, the number of coins is 3k and 6k.   Thus k = 15 and the total number of coins is 9k = 135.   The answer is 135.
Answer: B
Given that p/q < 1, and both p and q are positive integers, which one of the following must be greater than 1?
Choose the correct answer
A) p/q^2	B) p^2/q	C) p^2/q^2	D) q/p	E) √(p/q)

Solution: Since p/q is a fraction q must always be > 1   Given -   Which one of the following must be greater than 1   We can get the result one only when the denominator in p/q ( Which is less than 1 ) becomes numerator..   Among the given options only (D) has the required characteristic we are looking for...   Hence answer will be (q/p)
Answer: D
A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A Answers.
A) 20600
B) 20700
C) 20500
D) 20400
E) None of these

Solution: Explanation :   A : B : C = (20000*5 +15000*7) : (20000*5 +16000*7) : (20000*5 +26000*7)   = (20*5 + 15*7) : (20*5 + 16*7) : (20*5 + 26*7)   = 205 : 212 : 282   A's share = 69900 * 205/(205+212+282) = 69900*205/699= 
69900*205/699 = 20_500
20500. Answer : Option 20500
Answer: C
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 224 customers. How many more new tables than original tables does the restaurant have?  Choose the most appropriate option:
A) 12	B) 16	C) 20	D) 24	E) 28

Solution: If all the tables seated 4, the number of customers could be  4*40= 
 4*40 = 160
160.   224-160= 
224-160 = 64
64, so  64/2= 
 64/2 = 32
32 tables must be new tables seating 6 people.   The number of tables seating 4 people is   40-32= 
  40-32 = 8
8.   The number of new tables is  32-8= 
 32-8 = 24
24 more than the number of old tables.   The answer is 24.
Answer: D
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams could be selected from the eight candidates?  Choices.
A) 56	B) 120	C) 210	D) 1120	E) 6720

Solution: 8 total employees 5 potential executives. = 8!/5!3! = 56   Those 5 executives are made up of P, T, W,W,W. Use an anagram grid here to determine the total here. = 5!/3! = 20.   Multiply 56 by 20 and your answer is 1120.   ANS:1120.
Answer: D
In a box, there are 8 red, 5 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Choose the correct choice from the following answers:	A) 2/3	B) 8/21	C) 3/7	D) 9/22	E) 8/19

Solution: Explanation:   Total number of balls = (8 + 5 + 6)= 
(8 + 5 + 6) = 19
19   Let E= event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.   Therefore, n(E) = 8.   P(E) = 8/19.   Answer: Option 8/19
Answer: E