MU-NLPC/Calc-aqua_rat huggingface dataset:
Find compound interest on $ 8000 at 15% per annum for 2 years 4 months, compounded annually.  Choose the correct choice from the following.
A) 3109 B) 3209 C) 3108 D) 3107 E) 3100

Solution: Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.   Amount = $ [8000 X (1+­(15/100))2 X (1+((1/3)*15)/100)]   =$ [8000 * (23/20) * (23/20) * (21/20)= 
8000 * (23/20) * (23/20) * (21/20) = 11_109
$ 11109.	.   :. C.I.= Rs. (11109 - 8000) = $ 3109.   3109nswer 3109.
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 11 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 correct choice from the following:
A) 64 B) 72 C) 80 D) 90 E) 99

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 = 11 and the total number of coins is 9k = 99.   The answer is 99.
Answer: E
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 27 cm.
Options
A) 600cm2	B) 500cm2	C) 400cm2	D) 432cm2	E) 100cm2

Solution: Explanation: Let other diagonal = 2x cm.   Since diagonals of a rhombus bisect each other at right angles, we have:   (20)2 = (12)2 + (x)2 =>x =√(20)2 – (12)2= √256= 16 cm. _I   So, other diagonal = 32 cm.   Area of rhombus = (1/2) x (Product of diagonals) =(1/2× 27 x 32) cm2 = 432 cm2   Answer: Option 432cm2
Answer: D
A, Band C can do a piece of work in 11 days, 20 days and 20 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?	Choose the correct option:
A) 7 days	B) 8 days	C) 9 days	D) 10 days	E) 11 days

Solution: (7 days+B)'s 1 day's work = 1/11+1/20 = 31/220   (7 days+C)'s 1 day's work = 1/11+1/20 = 31/220   work done in 2 day's = 31/220+31/220= 31/110   31/110th work done in 2 days   work done= 110/31*2 = 7 days (approx)   7 daysNSWER:7 days
Answer: A
Meg and Bob are among the 4 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?  Answers:	A) 24	B) 30	C) 12	D) 90	E) 120

Solution: Total # of ways the race can be finished is 4!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 4!/2=12.   Answer: 12.
Answer: C
The length of a rectangle hall is 5 m more than its breadth. The area of the hall is 750 m2. The length of the hall is :  Pick:
A) 15 m  B) 22.5 m  C) 25 m  D) 30 m  E) None of these

Solution: Solution   Let breadth = x metres. Then, length = (x + 5) metres.   Then x(x+5) = 750 ⇔ x2 + 5x −750 = 0 ⇔ (x + 30) (x + 25) = 0 ⇔ x = 25.   ∴ Length = (x + 5) = 30 m. Answer 30 m
Answer: D
Michele invests 500 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD be the value of Michele’s investment at the close-of-business any day that week?  Answers
A) $0.00  B) $133.00  C) $250.05  D) $66.74  E) $10000.00

Solution: Suppose she invests n$ in the starting then in the subesequent days the money left after the day will be   n/4, n/8, n/16, n/32   So, answer will be $66.74
Answer: D
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?  Pick.
A) 5 B) 9 C) 4 D) 1 E) 3

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5nswer: 5
Answer: A
Kishore has 4 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 8 shoes, what is the probability that she will select 2 shoes of the same color?	Select the correct option
A) 2/5  B) 1/5  C) 1/9  D) 1/7  E) 1/25

Solution: Can be tackled in this way as well: Probability of selecting any 1 out of 8 shoes = 8/8= 
8/8 = 1
1   Probability of selecting the next shoe (out of 8 available) having the same color= 1/7 (as after selecting the 1st one, there is only 1 another shoe left with the same color).   Thus the total probability = 1*1/7=1/7.   1/7 is the correct answer.
Answer: D
A boat speed with the diesel is 15 km/hr and the speed of the diesel is 2.5 km/hr. The boat 's speed against the diesel is	Options.
A) 9 km/hr  B) 10 km/hr  C) 12 km/hr  D) 13 km/hr  E) 14 km/hr

Solution: Boat's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.   10 km/hroat's rate against the diesel= (12.5 - 2.5) km/hr = 10 km/hr   10 km/hr
Answer: B
50% of x is greater than 1/3rd of x by 110.what is x?  Choose the correct choice from the following options: A) 100 B) 200 C) 300 D) 350 E) 660

Solution: 5x/10-x/3=110   1x/6=110   x=660   ANSW660R:660
Answer: E
In the sixth grade at Parkway elementary school there are 450 students. 300 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choose the most appropriate option.
A) 69. B) 115 C) 81. D) 91. E) 108.

Solution: Total students = 450   Boys = 300, Girls = 150   Total playing soccer = 250   86%of 250 = 215 are boys who play soccer.   Girls who play soccer = 35.   Total girls who do not play soccer = 150 - 35= 
150 - 35 = 115
115.   Correct option: 115
Answer: B
How many seconds does Sandy take to cover a distance of 500 meters, if Sandy runs at a speed of 18 km/hr?
Choose the correct choice from the following answers:
A) 80
B) 100
C) 120
D) 140
E) 160

Solution: 18 km/hr = 18000 m / 3600 s = 5 m/s   time = 500 / 5= 
500 / 5 = 100
100 seconds   The answer is 100.
Answer: B
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:	Select.
A) 24 hours
B) 22 hours
C) 23 hours
D) 21 hours
E) 41 hours

Solution: Speed upstream = 7.5 kmph.   Speed downstream = 10.5 kmph.   Total time taken =105/7.5+105/10.5= 
105/7.5+105/10.5 = 24
24 hours   24 hoursnswer: 24 hours
Answer: A
If a man lost 8% by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 45%?	Choose the correct choice from the following answers:
A) 33.56
B) 23.68
C) 11.42
D) 9.56
E) 23.55

Solution: 92% ---- 18   145% ---- ?   92/145 * 18 = 11.42   Answer: 11.42
Answer: C
A boat has an upstream speed of at 50 kmph and downstream at 80 kmph, and then find the speed of the boat in still water?	Choose the most appropriate option:  A) 65  B) 60  C) 75  D) 70  E) 90

Solution: US = 25   DS = 35   M = (50 +80)/2= 
(50 +80)/2 = 65
65   65nswer:65
Answer: A
How many seconds does a train 110 meters long, traveling at 54 km/h, take to completely cross a bridge of 160 meters in length?
Choices.
A) 18
B) 20
C) 22
D) 24
E) 26

Solution: 54 km/h = 54000/3600= 
54000/3600 = 15
15 m/s   Time= 270 / 15= 
270 / 15 = 18
18 seconds   The answer is 18.
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?  Select:
A) Rs.4082.43 B) Rs.4082.20 C) Rs.4882.40 D) Rs.4082.40 E) Rs.4082.21

Solution: Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04)   = 4095 - 12.6 = Rs.4082.40   Answer:Rs.4082.40
Answer: D
Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45? Choose the correct answer:
A) 3500	B) 72	C) 2000	D) 3000	E) 4000

Solution: Let the number of 45-rupee notes = x   Then, the number of 95-rupee notes = (80 – x)   45x + 95(80 – x) = 4000 or x + 2(80 – x) = 95 or x = 72.   ANSWER:72
Answer: B
One-tenth of the students at a nursery school are 4 years old or older. If 20 students have not yet reached their third birthday, and a total of 50 students are not between 3 years old and 4 years old, how many children are in the nursery school?	Pick one:  A) 150  B) 300  C) 450  D) 490  E) 620

Solution: x/10 students are > 4 yrs   20 students are < 3 yrs   x/10+ 20 = 50   x/10 = 30   x = 300   Answer: 300
Answer: B
A train is moving at a speed of 75km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?	Choose the most appropriate option
A) 30sec B) 45sec C) 36sec D) 24sec E) 52sec

Solution: Speed of the train = 75*5/18 = 125/6 m/sec   24secistance moved in passing the standing man = 500m   Required time taken = 500/(125/6)= 
500/(125/6) = 24
24sec   Answer is 24sec
Answer: D
A man is 20 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?	Choose one.
A) 23 years
B) 22 years
C) 21 years
D) 20 years
E) 18 years

Solution: Let present age of the son =x years   Then, present age the man =(x+20) years   Given that, in 2 years, man's age will be twice the age of his son   â‡’(x+20)+2=2(x+2)   â‡’x=18   ANSW18 yearsR:18 years
Answer: E
At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of mathematics majors to the number of history majors?
Choose the correct choice from the following:  A) 2 o 3  B) 3 to 2  C) 2 to 4  D) 1 to 5  E) 1 to 6

Solution: This is how I translated the question:   At a certain college there are twice as many english majors as history majors   E = 2H   and three times as many english majors as mathematics majors.   E = 3M   What is the ratio of the number of history majors to the number of mathematics majors?   What is H:M?   Just set E equal to each other to get the ratio in terms of H and M.   2H = 3M   H/M = 2/3   The answer is 2:3   2 o 3nswer : 2 o 3
Answer: A
The price of sugar is increased by 2%. By how much percent should a home maker reduce her consumption of sugar to have no extra expenditure? Select the correct option:  A) (700/107) %  B) (107/100) %  C) (100/107)%  D) (7/100)%  E) (200/102)%

Solution: Old price = $100 (assume);   Old consumption = 1 kg (assume).   New price = $102.   We want the spendings to remain at $100.   (New consumption)*102 = 100 --> (New consumption) = 100/102 kg.   Percent decrease = Change/Original *100 = (1 - 100/102)/1*100 = 200/102%.   Answer: (200/102)%.
Answer: E
Look at this series: 97, 92, 85, 78, 71, 64, 57, 50, ... What number should come next?	Choose the correct choice from the following choices:
A) 45	B) 33	C) 43	D) 38	E) 36

Solution: Explanation:   In this series, each number 7 is subtracted from previous number to arrive at the next number.   Answer: Option 43
Answer: C
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5660. What is the average monthly balance maintained by John in his
account during the year? Choose the correct choice from the following answers:
A) 28300	B) 5680	C) 6840	D) 7540	E) 28400

Solution: bank balance is doubled with accumulation of interest tp 5660..   this means INTEREST is   5660/2= 
  5660/2 = 2_830
2830 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 28300..   28300
Answer: A
A certain sum of money at simple interest amounted Rs.940 in 5 years at 2% per annum, find the sum?
Select:
A) 450
B) 867
C) 899
D) 854
E) 261

Solution: 940 = P [1 + (5*2)/100]   P = 854   Answer: 854
Answer: D
The length of a side of a hexagon is 5 inches. What is the perimeter?
Choose the correct choice from the following answers:	A) 116	B) 25	C) 30	D) 24	E) 15

Solution: Hexagon. It means 6 equal sides.   p = 5 + 5 + 5 + 5 + 5 + 5 = 10+ 10 + 10= 
10+ 10 + 10 = 30
30 inches   Answer 30
Answer: C
A prison of 10,000 inmates has enough food to feed them all for 50 days. After 10 days some of the inmates leave and the food is now enough for the same period of 50 days as before. How many of them left?	Choose the correct choice from the following options:  A) 3,000  B) 2,200  C) 2,000  D) 1,000  E) 200

Solution: 10,000 --- 50   10,000 --- 40   x --- 50   x*50 = 10,000*40   x = 8,000   10,000   --------   2,000   Answer = 2,000
Answer: C
The present ages of three persons in proportions 4 : 5 : 9. Eight years ago, the sum of their ages was 30. Find their present ages (in years).	Answers
A) 19, 20, 28
B) 12, 15, 27
C) 20, 35, 45
D) 33,42,43
E) 13, 23,34

Solution: Let their present ages be 4x, 5x and 9x years respectively.   Then, (4x - 8) + (5x - 8) + (9x - 8) = 30   18x = 54   x = 3.   Their present ages are 4x = 12 years, 5x = 15 years and 9x = 27 years respectively.   ANSWER:12, 15, 27
Answer: B
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water?  Answers
A) 16 B) 72 C) 112 D) 128 E) 142

Solution: See H/O = 2 / 16   Add 1 to both sides:   H/O + 1 = 2/16 + 1   Take LCM   (H+O)/O = (2+16)/16   Water/O = 18/16   Now that we have the Water to Oxygen ratio, put in the amount of water i.e. 144 gm   =>O= 144*16/18= 
144*16/18 = 128
128   ANSWER:128
Answer: D
At what rate of interest is an amount doubled in two years, when compounded annually?
Select the correct option:
A) 41.7%
B) 41.4%
C) 49.4%
D) 81.4%
E) 31.4%

Solution: Let the rate of interest be r. The amount gets doubled in two years => P(1 + r/100)2 = 2p => 1 + r/100 = √2 => r/100 = √2 - 1 = 0.414 => r = 100(0.414) = 41.4%.Answer: 41.4%
Answer: B
one out of ten employees are capable of doing a certain task. 40 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?	Select:
A) 43.33%	B) 75%	C) 13.33%	D) 38.33%	E) 23.33%

Solution: Given 40% of 10 employees including 1 who are capable of doing task.   40% of 10 employeees   = 40/100 * 10= 
40/100 * 10 = 4
4 employees===> 1 employees who are capable of doing the task and three employee who is not capable.   percentage of employees assigned who are not capable   = 3/4 * 100= 
3/4 * 100 = 75
75%   ANSWER:75%
Answer: B
The radius of a cone is 10 m, height 21 m. The volume of the cone is:	Choose the correct choice from the following answers
A) 2200	B) 1100	C) 5500	D) 3300	E) 1050

Solution: 1/3 πrh = 1/3 × 22/7 × 100 × 21   = 2200 m(power3)   2200nswer is 2200.
Answer: A
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8200. If his salary for the month of May is Rs.6500, find his salary for the month of January?	Answers:
A) 2177 B) 2876 C) 4500 D) 5700 E) 6711

Solution: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8200= 
4 * 8200 = 32_800
32800 ----(2)   (2)-(1) i.e. May - Jan= 800   Salary of May is Rs.6500   Salary of January = Rs.5700.Answer: 5700
Answer: D
Find the slope of the line perpendicular to the line y = (1/5)x - 7	Select.
A) 1	B) 2	C) -5	D) 4	E) 5

Solution: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 5. If m is the slope of the line perpendicular to the given line, then   m × (1/5) = -1   Solve for m   m = - 5   correct answer -5) -5
Answer: C
Six points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?	Choose the correct choice from the following choices.
A) 4
B) 5
C) 6
D) 15
E) 20

Solution: Let's start with the triangle: You have 6 points to choose from but only 3 points you will connect and 3 points you will not connect.   Hence number of possibilities for triangle: 6! / 3! * 3! = 20   Same goes for the quadrilateral: 6 points to choose from, 4 points which you will connect and 2 points which you won't connect.   Number of possibilities for quadrilateral: 6! / 4! * 2! = 15   Difference = 5   Answer 5
Answer: B
A train ride from Town P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Town P to Town Q?	Choices
A) $1.30
B) $2.50
C) $4.10
D) $4.70
E) $8.20

Solution: Let x be the cost of a bus ride.   x + (x+685) = 945   2x = 260   x = $1.30   The answer is $1.30.
Answer: A
The sum of three consecutive integers is 102. Find the lowest of the three?  Pick one.
A) 15  B) 33  C) 56  D) 96  E) 88

Solution: Explanation:   Three consecutive numbers can be taken as (P - 1), P, (P + 1).   So, (P - 1) + P + (P + 1) = 102   3P = 102 => P = 34.   The lowest of the three = (P - 1) = 34 - 1= 
34 - 1 = 33
33.   Answer 33
Answer: B
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 12 salespeople on staff, how many different arrangements of winners are possible?  Choose the correct option:
A) 1,728 B) 1,440 C) 1,320 D) 220 E) 6

Solution: Choose 3 people out of 12 and arrange these 3 people between themselves.   12!/(3!x9!)x3!=12x11x10x9!/(3!x9!)x3!=12x11x10=1320   ANSWER:1,320
Answer: C
The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?  Choose the correct choice from the following choices: A) 20 B) 22 C) 18 D) 19 E) 21

Solution: The total of seven numbers = 7X21 = 147   The total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126   So, the middle number is  (147 - 126 )= 
 (147 - 126 ) = 21
21   21
Answer: E
Which of the listed below number is the odd one out?
Choose the correct choice from the following answers:
A) 17642  B) 36119  C) 84129  D) 67626  E) 65612

Solution: E   65612   All the others are three digit numbers followed by their square root, eg 361 followed by its square root, 19.   Answer 65612
Answer: E
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7, inclusive?	Choose the most appropriate option:
A) 1/4  B) 1/8  C) 3/8  D) 3/16  E) 5/16

Solution: One case is rainy-rainy-rainy-not rainy.   The probability of this case is (1/2)^4 = 1/16   The number of possible cases is 4C3 = 4.   P(exactly 3 rainy days) = 4*1/16 = 1/4   The answer is 1/4.
Answer: A
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 30 p.m., at what time were there 32 million bacteria in the dish?
Choose the correct option: A) 6: 00 p.m. B) 8: 00 p.m. C) 6: 00 a.m. D) 8: 30 a.m. E) 10: 00 a.m.

Solution: Given:   The number of bacteria in a petri dish increased by 50 percent every 2 hours   There were 108 million bacteria in the dish at 2: 00 p.m   Since the bacteria is increasing by 50% every 2 hours, this means that the number is multiplied by 1.5 every 2 hours.   Required: At what time were there 32 million bacteria in the dish?   Assume that there were n intervals of 2 hours between 32 million and 108 million.   32 * (1.5)^n = 108   (3/2)^n = 108/32 = 27/8 = (3/2)^3   Hence n = 3 intervals.   Each interval was of 2 hours. Therefore, the number of hours = 6   Subtracting 6 hours from 2H30 PM, we get 8H30 AM as the answer.   Option 8: 30 a.m.
Answer: D
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 170, what is the least possible value of n?	Choices:
A) 14  B) 13  C) 15  D) 17  E) 16

Solution: 17, since n needs to be the largest of the prime factors. Therefore, the answer is 17.
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?	Choose the correct choice from the following:
A) 27 7/8  B) 27 9/9  C) 28 7/9  D) 27 7/9  E) 21 7/9

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5 = 250/9   = 27 7/9 m.   Answer: 27 7/9
Answer: D
Find the one which does not belong to that group ?	Choose the correct choice.
A) 27	B) 66	C) 88	D) 65	E) 11

Solution: Explanation:   37, 47, 67 and 17 are prime numbers but not 27.   27nswer: 27
Answer: A
A fill pipe can fill 2/3 of cistern in 40 minutes in how many minutes, it can fill full of the cistern?	Choose the correct choice from the following answers
A) 60min B) 36min C) 25min D) 30min E) 50min

Solution: 2/3 of the cistern can fill in 40 min   3/3 of the cistern can fill in = 40*3/2*3/3= 
40*3/2*3/3 = 60
60min   60minnswer is 60min
Answer: A
A man has some hens and cows. If the number of heads be 60 and the number of feet equals 200, then the number of hens will be: Choose the correct choice
A) 22  B) 25  C) 24  D) 20  E) 28

Solution: Explanation:   Let the number of hens be x and the number of cows be y.   Then, x + y = 60 .... (i)   and 2x + 4y = 200 x + 2y = 100 .... (ii)   Solving (i) and (ii) we get: x = 20, y = 40.   The required answer = 20.   Answer: 20
Answer: D
x is a positive integer less than 600. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?	Choose the correct choice from the following:
A) 21 B) 22 C) 23 D) 24 E) 25

Solution: the nubmer which when divided by 7 leaves remainder 1 should be of the form 7k+1   this number when divided by 3 leaves remainder 2.   so,   (7k+1)-2 should be divisible by 3 or 7k-1 should be divisible by 3.   we now put the values of k starting from 0 to find first number divisible by 3   we find 1st number at k= 1   thus smallest number will be 7(1)+1 = 8   now,   next number will be = 8+ lcm of 37   i.e 29   now we will find number of all such values less than 500 by using the formula for last term of an a.p   8+(n-1)21=600   n=25.42   or n= 25   Answer:- 25
Answer: E
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}  Pick one:
A) 16	B) 65	C) 86	D) 82	E) 60

Solution: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.   Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.   Answer: 60
Answer: E
There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?	Pick one.
A) 5	B) 7	C) 11	D) 13	E) 15

Solution: (385/1001) = 5/13 First Number is 5   5NSWER:5
Answer: A