MU-NLPC/Calc-aqua_rat huggingface dataset:
A restaurant orders 150 kg of pumpkins from the farmer’s market. The farmer fills the order with 23 pumpkins. The average mass of the first 20 pumpkins is 6.5 kg. What must be the minimum average mass of the remaining 3 pumpkins to fill the order?	Choose the most appropriate option:	A) 5.5 kg	B) 5.67 kg	C) 6.67 kg	D) 7 kg	E) 11.5 kg

Solution: The order of 150 kg is distributed among 23 pumpkins.   20 of the pumpkins weigh a total of 20*6,5=130.   The remaining 3 pumpkins weigh a total of 150-130= 
150-130 = 20
20.   The average of the 3 remaining pumpkins(answer to the question) is 20/3=6,666... or 6,67.   Answer: 6.67 kg.
Answer: C
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?	Choose the correct choice from the following answers:
A) 11  B) 25  C) 77  D) 88  E) 11

Solution: 800 --- 200   100 --- ? => 25%   Answer:25
Answer: B
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 24 gallons of ethanol, how many gallons of fuel A were added?
Choose the correct choice from the following options:
A) 160	B) 150	C) 100	D) 80	E) 200

Solution: Say there are A gallons of fuel A in the tank, then there would be 200-A gallons of fuel B.   The amount of ethanol in A gallons of fuel A is 0.12A;   The amount of ethanol in 200-A gallons of fuel B is 0.16(200-A);   Since the total amount of ethanol is 24 gallons then 0.12A+0.16(200-A)=24 --> A=200.   Answer: 200.
Answer: E
A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in?
Choose the correct choice from the following answers.
A) 25 days	B) 88 days	C) 21 days	D) 11 days	E) 24 days

Solution: WC = 2:1   2x + x = 1/8   x = 1/24 => 24 days   Answer: 24 days
Answer: E
Little John had $7.10. He spent $1.05 on sweets and gave to his two friends $1.00 each. How much money was left?	Choose one:
A) $4.85  B) $4.15  C) $4.65  D) $4.55  E) $4.05

Solution: John spent and gave to his two friends a total of   1.05 + 1.00 + 1.00= 
1.05 + 1.00 + 1.00 = 3.05
$3.05   Money left    7.10 - 3.05= 
 7.10 - 3.05 = 4.05
$4.05   Answer :$4.05
Answer: E
If a and b are positive integers of B such that a/b=2.86, which of the following must be a divisor of a?	Choose the most appropriate option:
A) 10
B) B.13
C) 18
D) 26
E) 50

Solution: The prompt gives us a couple of facts to work with:   1) A and B are positive INTEGERS   2) A/B = 2.86   We can use these facts to figure out POSSIBLE values of A and B. The prompt asks us for what MUST be a divisor of A. Since we're dealing with a fraction, A and B could be an infinite number of different integers, so we have to make both as SMALL as possible; in doing so, we'll be able to find the divisors that ALWAYS divide in (and eliminate the divisors that only SOMETIMES divide in).   The simplest place to start is with...   A = 286   B = 100   286/100= 
286/100 = 143/50 = around 2.86
2.86   These values are NOT the smallest possible values though (since they're both even, we can divide both by 2)...   A= 143   B = 50   143/50= 
143/50 = 143/50 = around 2.86
2.86   There is no other way to reduce this fraction, so A must be a multiple of 143 and B must be an equivalent multiple of 50. At this point though, the value of B is irrelevant to the question. We're asked for what MUST divide into A....   Since A is a multiple of 143, we have to 'factor-down' 143. This gives us (11)(13). So BOTH of those integers MUST be factors of A. You'll find the match in the answer choices.   Final Answer:   B.13
Answer: B
Each factor of 290 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?	Choose the correct choice from the following choices:
A) 1/16	B) 5/42	C) 16	D) 3/16	E) 1/4

Solution: 290=2*3*5*7, so the # of factors 210 has is (1+1)(1+1)(1+1)(1+1)=16 (see below);   42=2*3*7, so out of 16 factors only two are multiples of 42: 42 and 210, itself;   So, the probability is 2/16=1/6   Answer: 16.
Answer: C
A train 100 m long crosses a platform 125 m long in 40 sec; find the speed of the train?  Choose the correct option:	A) 36.21	B) 77.11	C) 54.12	D) 33.0	E) 20.25

Solution: D = 100 + 125= 
100 + 125 = 225
225   T= 40   S = 225/40 * 18/5= 
225/40 * 18/5 = 81/4 = around 20.25
20.25 kmph   Answer: 20.25
Answer: E
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles? Options:
A) 2356 sq m	B) 1775 sq m	C) 4312 sq m	D) 1756 sq m	E) 1765 sq m

Solution: Let the radii of the smaller and the larger circles be s m and l m respectively.   2∏s = 264 and 2∏l = 352   s = 264/2∏ and l = 352/2∏   Difference between the areas = ∏l2 - ∏s2   = ∏{1762/∏2 - 1322/∏2}   = 1762/∏ - 1322/∏   = (176 - 132)(176 + 132)/∏   = (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m   Answer:4312 sq m
Answer: C
A certain company reported that the revenue on sales increased 30 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?	Choose the correct choice from the following:
A) 50 %	B) 40 %	C) 35 %	D) 38 %	E) 29 %

Solution: Assume the revenue in 2000 to be 100. Then in 2003 it would be 130 and and in 2005 180, so from 2003 to 2005 it increased by (180-130)/130=50/130=~38%.   Answer: 38 %
Answer: D
Which of the following could be the sum of the reciprocals of two prime numbers? Choose the correct choice from the following options.
A) 7/13  B) 11/12  C) 12/10  D) 23/50  E) 19/77

Solution: 12/10 it is   6/5=(1/2) + (1/5)   Answer - 12/10
Answer: C
There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?
Select:
A) 22
B) 87
C) 26
D) 19
E) 36

Solution: Explanation:   Let the number of rabbits and peacocks be 'r' and 'p' respectively. As each animal has only one head, so r + p = 60 --- (1)   Each rabbit has 4 legs and each peacock has 2 legs. Total number of legs of rabbits and peacocks, 4r + 2p = 192 --- (2)   Multiplying equation (1) by 2 and subtracting it from equation (2), we get   => 2r = 72 => r = 36.   Answer: 36
Answer: E
If four coins are tossed, the probability of getting two heads and two tails is?	Choose the most appropriate option: A) 3/8 B) 3/0 C) 3/6 D) 3/5 E) 3/1

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer: 3/8
Answer: A
A race course is 400m long. A and B run a race and A wins by 5m. B and C run over the same course and B win by 4m. C and D run over it and D wins by 16m. If A and D run over it, then who would win and by how much? Choose the correct option: A) A, 8.4m B) D, 8.4m C) D, 7.2m D) A, 7.2m E) A, 9.2m

Solution: when A covers 400m   B covers 395 m   c covers 391mtrs   and D covers 407.29 mtrs   ANSWER:D, 7.2m
Answer: C
Each child has 3 crayons and 12 apples. If there are 6 children, how many crayons are there in total?	Choose the correct choice from the following:
A) 22
B) 65
C) 18
D) 36
E) 10

Solution: 3*6= 
3*6 = 18
18.Answer is 18.
Answer: C
Find the average of all the numbers between 6 and 39 which are divisible by 5? Choose the correct choice from the following answers.
A) 10 B) 20 C) 25 D) 30 E) 23

Solution: Average = (10+15+20+25+30+35) 6= 135/6= 23   Answer is 23
Answer: E
A boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
Choose the most appropriate option: A) 16 B) 10 C) 14 D) 12 E) 13

Solution: Let required number   =x   =22x+308=44x   ⇒22x=308   ⇒x=308/22   =154/11= 
154/11 = 14
14   Answer :14
Answer: C
A bag contains 30 black balls and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Choose one:
A) 2/5
B) 5/7
C) 1/2
D) 1/4
E) 1/3

Solution: Total number of balls = 30+20= 
30+20 = 50
50   no. of white balls= 20   probability of drawing a white ball = 20/50 = 2/5   2/5nswer is 2/5
Answer: A
Smith borrowed some money at the rate of 10% p.a. for the first 2years, at the rate of 12% p.a. for the next three years, and at the rate of 16% p.a. for the period beyond five years. If he pays a total interest of $ 600 at the end of 9years, how much money did he borrow?
Choices
A) $1000 B) $750 C) $400 D) $500 E) $560

Solution: Let the sum borrowed be x   (x*2*10/100)+(x*12*3/100)+(x*16*4/100) = 600   (20x/100)+(36x/100)+(64x/100) = 600   120x/100 = 600   x = 500   Answer is $500
Answer: D
A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choose one:
A) 175  B) 288  C) 277  D) 877  E) 361

Solution: (2*8 + 1*4):(4*8 + 5*4)   5:13   5/18 * 630= 
5/18 * 630 = 175
175   175nswer: 175
Answer: A
In a camp, there is a meal for 120 men or 200 children. If 110 children have taken the meal, how many men will be catered to with remaining meal?	Choose the correct choice from the following options
A) 30
B) 20
C) 40
D) 57
E) 54

Solution: There is a meal for 200 children.   110 children have taken the meal.   Remaining meal is to be catered to 90 children.   Now, 200 children 120 men.   90 children = (120/200)x 90 = 54 men.   54
Answer: E
In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
Choose the correct choice from the following options: A) 125.5 meters B) 126.5 meters C) 127.5 meters D) 128.5 meters E) 129.5 meters

Solution: Explanation:   When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.   Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 meters.   So, in a race of 1000 meters, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 meters to C.   So, in a race of 600 meters, the number of meters by Which A beats C= (600 x 212.5)/1000 = 127.5 meters.   ANSWER IS 127.5 meters
Answer: C
A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour?  Select the correct option: A) 8.2 B) 4.2 C) 6.1 D) 7.2 E) 5.4

Solution: Explanation:   Solution 17.2istance =600 metre =0.6 km   Time =5=5 minutes =1/12 hour   Speed=distance/time=0.6/(1/12)= 
0.6/(1/12) = 7.2
7.2 km/hr   ANSWER IS 7.2
Answer: D
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?	Select the correct option:
A) 20
B) 25
C) 30
D) 40
E) 45

Solution: 2:3   2x + 10 : 3x + 10 = 5 : 7   7[2x + 10] = 5[3x + 10]   14x + 70 = 15x + 50   15x - 14x = 70 - 50= 
70 - 50 = 20
20   Then the first number is= 2   2x = 40   Option '40'
Answer: D
With # andeach representing different digits in the problem below, the difference between #and ## is 801. What is the value of?
#
-##
____
812 Pick.
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: 100x   -(10x +x)   -----------   89 x= 801   x = 9   9
Answer: C
A person can swim in still water at 16 km/h. If the speed of water 8 km/h, how many hours will the man take to swim back against the current for 12 km?	Choose the correct choice from the following answers:  A) 3  B) 1.5  C) 2.3  D) 1.8  E) 6

Solution: M = 16   S = 8   US = 16 - 8= 
16 - 8 = 8
8   D= 12   T = 12/8= 
12/8 = 3/2 = around 1.5
1.5   Answer: 1.5
Answer: B
A Man has 366 apples with him.If he were to distribute them equally between his none children what is the least number of mangoes that he has to add ?
Choices
A) 2 B) 3 C) 1 D) 14 E) None

Solution: B. (366+3=369). 369 is divisible by 9 369/9=41. So he will give 41 apples each to his nine children (41*9=369)
Answer: B
There are 200 doctors and nurses at a hospital. If the ratio of doctors to nurses is 4 to 6, how many nurses are at the hospital?
Choose the correct option
A) 110
B) 120
C) 130
D) 140
E) 150

Solution: The number of nurses at the hospital is (6/10)*200= 
(6/10)*200 = 120
120.   The answer is 120.
Answer: B
Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl. Choose the correct option
A) 27/34  B) 29/34  C) 50/34  D) 55/34  E) 60/34

Solution: =>(9/17+8/16) + (8/17 + 9/16) + (9/17 + 8/16)   =>9/34+9/34+9/34 = 27/34   27/34NSWER 27/34
Answer: A
This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 6 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Pick one
A) 8P6
B) 8P3
C) 9C9
D) 8C6
E) 69

Solution: since we have to select random 6 numbers from 8 and they all are distinct. i think it should be 8C6 or 8C6.
Answer: D
Josh has to run an electrical wire from point a to point b along a circuit that is restricted to the grid shown to the left. How many possible paths could Josh use that have the minimum possible length?	Choose the correct choice from the following answers: A) 8 B) 10 C) 12 D) 15 E) 16

Solution: ou can notice that in order the length to be minimum wire should only go UP and RIGHT: namely twice UP and 4 times RIGHT.   So combination of UURRRR: # of permutations of 6 letters out of which there are 2 identical U's and 4 identical R's is 6!/2!4!=15   Answer: 15.
Answer: D
Out of 16 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?  Select
A) 12â„13 B) 11â„13 C) 9/11 D) 1â„15 E) None of these

Solution: Total possible ways of selecting 4 students out of 16 students = 16C4 =1820   The no. of ways of selecting 4 students in which no student belongs to Karnataka = 11C4=330   âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 169/114 â€“ 119/114 = 1490   âˆ´ Probability = 1490â„1820 = 9â„11   Answer 9/11
Answer: C
In a kilometer race, A beats B by 100 meters or 10 seconds. What time does A take to complete the race?  Choose the correct choice from the following choices.
A) 290 sec B) 190 sec C) 199 sec D) 90 sec E) 193 sec

Solution: Time taken by B run 1000 meters   = (1000 * 10)/100= 
(1000 * 10)/100 = 100
100 sec.   Time taken by A= 100 - 10= 
100 - 10 = 90
90 sec.   Answer: 90 sec
Answer: D
Of the integers between 100 and 899, inclusive, how many do not have digit 2 and 5?	Pick one.
A) 310 B) 320 C) 410 D) 384 E) 524

Solution: Options for the first digit 8-2(2 and 5)=6;   Options for the second digit 10-2= 
10-2 = 8
8;   Options for the third digit   10-2= 
  10-2 = 8
8;   Total numbers possible 6*8*8= 
6*8*8 = 384
384.   Answer: 384.
Answer: D
A restaurant meal cost $45 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between: Choose the correct choice from the following options:
A) $49 and $52
B) $45 and $51
C) $47 and 50
D) $45 and $48
E) $46 and $51

Solution: let tip=t   meal cost=35.50   range of tip = from 10% of 45 to 15% of 45 = 4.5 to 6.75   hence range of amount paid= 45+T= 49.5 to 51.75 i.e. $49 and $52
Answer: A
The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?
Choose the correct option
A) 0
B) 1
C) 2
D) 5
E) All the above value

Solution: If the number is divisible by 4, the last two digits must be divisible by 4. All the values yields such a number.   Answer: All the above value
Answer: E
In 1 hour, a boat goes 9 km along the stream and 3 km against the stream. The speed of the boat in still water (in km/hr) is : Answers:	A) 3 km/hr.	B) 2 km/hr.	C) 6 km/hr.	D) 8 km/hr.	E) 5 km/hr.

Solution: Speed in still water = 1/2(9 + 3) km/hr   = 6 km/hr. ANSWER :6 km/hr.
Answer: C
A and B enterd into a partnership investing Rs.16,000 and Rs.12,000 respectively.After 3 months,A withdrew Rs.5000 while B invested Rs.5000 more.After 3 more months.C joins the business with a capital of Rs.21,000.The share of B exceeds that of C,out of a total profit of Rs.26,400 after one year by	Choose the correct option
A) Rs.2400 B) Rs.3000 C) Rs.3600 D) Rs.4800 E) None of these

Solution: Solution   A : B : C = (16000x3+11000x9) : (12000x3+17000x9): (21000x6)   = 147 : 180 : 126 = 7 : 9 : 6.   ∴ Difference of B and C’s shares = Rs. (26400x9/22-26400x6/22) = Rs. 3600. Answer Rs.3600
Answer: C
A & B can separately do a piece of work in 20 & 15 days. They worked together for 6 days, after which B was replaced by C. The work was finished in next 5 days. The no.of days in which C alone could do the work is
Choose the correct choice from the following.
A) 10 days  B) 20 days  C) 30 days  D) 40 days  E) 50 days

Solution: B worked for 6 days => In 6 days B completed = 6 x 1 15   = 2 5   th work   A worked for first 6 days and later 4 days => In 10 days A completed = 10 x 1 20   = 1 2   of the work   Total work done by A and B = 2 5   + 1 2   = 4+5 10   = 9 10   Balance work = 1- 9 10   = 1 10   th of total work   Balance work was completed by C in 5 days   C can do 1/10 of the work in 5 days. Therefore C alone can do the work in 50 days.   50 days
Answer: E
A crate of apples contains 1 bruised apple for every 35 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 10 apples not fit to sell in the crate, how many apples are there in the crate? Pick
A) 270
B) 360
C) 700
D) 600
E) 840

Solution: as given 2 out of every 4 bruised apple is not fit to sell   or, 50% of the bruised apples are not fit to sell.   as per the question 10 are not fit to sell   or,   0.50x=10   x=1000/50= 
1000/50 = 20
20   thus total number of bruised apples=20   total number of apples =35*20= 
35*20 = 700
700   Answer: 700
Answer: C
If x and y are positive integers, and x^3*y^4 = 16, which of the following is the value of xy?
Select the correct option:	A) 2	B) 4	C) 6	D) 8	E) 10

Solution: 16 = 1^3*2^4   xy = 1*2= 
1*2 = 2
2   The answer is 2.
Answer: A
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	Choose the correct option.
A) 245 B) 777 C) 282 D) 266 E) 288

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer: 282
Answer: C
The average age 11 members of a committee are the same as it was 5 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A) 20 years B) 21 years C) 18 years D) 55 years E) 30 years

Solution: 11 * 5= 
11 * 5 = 55
55 years   Answer:55 years
Answer: D
Average weight of 10 people increased by 1 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
Options:
A) 50 B) 55 C) 60 D) 65 E) 70

Solution: Explanation:   Total weight increased is 1 * 10= 
1 * 10 = 10
10.   So weight of new person is 45+10= 
45+10 = 55
55   Answer: Option 55
Answer: B
A sum was put at simple interest at a certain rate for 5 years Had it been put at 6% higher rate, it would have fetched 90 more. Find the sum. Options
A) 90  B) 100  C) 200  D) 300  E) 400

Solution: Difference in S.I. = P×T/100(R1−R2)   ⇒ 90 = P×5x6/100(∵ R1 - R2 = 2)   ⇒ P = 90×100/5x6=300   Answer 300
Answer: D
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
A) 288 cm2
B) 277 cm2
C) 285 cm2
D) 276 cm2
E) 287 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285 cm2
Answer: C
What will come in place of (a) in the following expression?
a - 896.21 + 498.05 = 215.50 – 425.01
Choose the correct choice from the following choices.
A) 188.65
B) 88.6
C) 188.67
D) 83.65
E) 88.61

Solution: Explanation:   a - 896.21 + 498.05 = 215.50 - 425.01   a = 188.65   188.65NSWER: 188.65
Answer: A
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.4 per sq m?
Choose one:
A) 2288	B) 2779	C) 2779	D) 5200	E) 2781

Solution: Area = (l + b â€“ d) d   (80 + 60 â€“ 10)10 => 1300 m2   1300 * 4 = Rs.5200   Answer:5200
Answer: D
Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 5^5 is divided by 5. What is the remainder?  Select the correct option.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: a number is divisible by 5, if its last digit is divisible by 5   let's look into the sum of last digits of each term of the given expression   1^1=1   2^2=4   3^3=7   4^4=6   5^5=5   adding all these numbers we get23 which gives a remainder of 3 when divided by 5. so answer must be 3.   bunuel, can you please confirm the answer of this question.   Yes, the OA is C. Clicked the wrong button when posting. Edited. Thank you.   3
Answer: D
A fair coin is tossed 11 times. What is the probability of getting more heads than tails in 11 tosses?	Pick:	A) 1/2	B) 63/128	C) 4/7	D) 61/256	E) 63/64

Solution: On each toss, the probability of getting a head is 1/2 and the probability of getting a tail is 1/2.   There is no way to get the same number of heads and tails on an odd number of tosses.   There will either be more heads or more tails.   Then there must be more heads on half of the possible outcomes and more tails on half of the possible outcomes.   P(more heads) = 1/2   The answer is 1/2.
Answer: A
If three numbers are randomly selected without replacement from set {1, 2, 3}, what is the probability that the numbers are selected in ascending order? Answers:
A) 1/6 B) 1/4 C) 1/8 D) 1/24 E) 1/12

Solution: The total number of ways to arrange 3 numbers is 3! = 6.   There is only one way to arrange the numbers in ascending order.   P(ascending order) = 1/6   The answer is 1/6.
Answer: A
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Monday, how many croissants will Marina eat on the 20th of that month?  Choose the correct answer:
A) 1
B) 2
C) 3
D) 5
E) 6

Solution: She eat as follow   Mon - 1   Tue - 2   Wed - 3   Thr - 5   Fri - 1(since she had more than 4 previous day)   sat - 6   sunday - 1 (since she had more than 4 previous day)   so 20nd day of month she will have 6.   Answer is 6
Answer: E
Mrs. Rodger got a weekly raise of $150. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.  Choose the correct answer.
A) $140 B) $141 C) $142 D) $147 E) $150

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 150.   So after completing the 1st week she will get $ (x+150).   Similarly after completing the 2nd week she will get $ (x + 150) + $ 150.   = $ (x + 150 + 150)   = $ (x + 300)   So in this way end of every week her salary will increase by $ 150.   correct answer $150)$150
Answer: E