MU-NLPC/Calc-aqua_rat huggingface dataset:
The difference between the squares of two consecutive numbers is 37. Find the numbers.  Select
A) 14-15  B) 20-23  C) 11-12  D) 18-19  E) 13-14

Solution: If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2   (37-1)/2 and (37+1)/2   36/2 and 38/2   Therefore the required answer = 18 and 19.
Answer: D
A sells a bicycle to B at a profit of 75% and B sells it to C at a loss of 40%. Find the resultant profit or loss. Choose the correct choice from the following choices:	A) -4%	B) 5%	C) -5%	D) 6%	E) -7%

Solution: The resultant profit or loss = 75 - 40 - (75*40)/100= 
75 - 40 - (75*40)/100 = 5
5%   Profit= 5%   Answer is 5%
Answer: B
When 7 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?  Choose the correct option.
A) 1  B) 3  C) 8  D) 32  E) 30

Solution: Total outcome is 2^7 = 128   Favourable cases = H_ _ _ _ _ H   The second, to sixth places can be occupied by either H or T   There are 2^5 =32 ways that can be done.   Hence, the correct option is 32
Answer: D
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 one.
A) 27/34  B) 25/34  C) 19/34  D) 21/34  E) 21/53

Solution: Explanation :   The probability that no girl is selected is :-   =>8C2/17C2.   =>28/136.   =>7/34.   Hence, the probability that atleast one girl is selected is :-   =>1- 7/34.   =>27/34.   27/34nswer : 27/34
Answer: A
A certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?	Select:
A) 42 B) 70 C) 140 D) 135 E) 315

Solution: 1 of 3 will be chosen for the math   2 of 10 will be chosen for the computer   None of the 3 chosen people can be in more than one departments.   We can choose any of the 3 candidates for the math dep., which gives as 3 selections.   We can choose 2 of the 10 candidates for the computer dep., which gives us 2 selections and 8 rejections.   So, the way to find how many different selections of 2 candidates we can have for the computer dep., we do:   10! /2!*8!= (9*10) / 2 = 90 / 2= 
90 / 2 = 45
45.   We are multiplying our individual selections:  3*45= 
 3*45 = 135
135   In the bolded part, we don't have to multiply all of the numbers, as those in 8! are included in 10!, so we simplify instead.   Ans 135
Answer: D
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?	Choose the correct choice from the following answers:  A) 220 meter  B) 225 meter  C) 230 meter  D) 235 meter  E) 240 meter

Solution: Explanation:   As trains are running in opposite directions so their relative speed will get added   So, Relative speed = 120 +80= 
120 +80 = 200
200 kmph= 200*(5/18) = 500/9 m/sec   Let the length of other train is x meter then   x+270/9=500/9   =>x+270=500=>x=230 So the length of the train is 230 meters   ANSWER IS 230 meter
Answer: C
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?	Choose the correct choice:	A) 83 Kg	B) 65 Kg	C) 13 Kg	D) 63 Kg	E) 23 Kg

Solution: By the rule of alligation:   C.P. of 1 kg sugar of 1st kind C.P. of 1 kg sugar of 2nd kind   Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.   Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind.   Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.   Answer: 63 Kg
Answer: D
22.32 + 583.122 + 42.42 = ?	Answers.
A) 622.441  B) 647.862  C) 622.233  D) 622.443  E) None of these

Solution: Explanation :   22.32 + 583.122 + 42.42 = 647.862. Answer : Option 647.862
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answers:
A) 2 years  B) 4 years  C) 6 years  D) 8 years  E) 9 years

Solution: Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 4)= 
(38 + 4) = 42
42 years.   Required difference= (42 - 36)= 
(42 - 36) = 6
6 years   Answer: Option 6 years
Answer: C
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Select the correct option:	A) 120	B) 180	C) 240	D) 280	E) 320

Solution: Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x kilograms. So, the total is x+2x=3x. This must be equal to 360.   3x=360   x=3603   x=120   Therefore, the salesman sold 120 kg in the morning and 2⋅120=240 kg in the afternoon. So answer is 240.
Answer: C
Find the simple interest on $10000 at 8% per annum for 12 months? Choices.
A) $410 B) $500 C) $650 D) $800 E) $1000

Solution: P = $10000   R = 8%   T = 12/12= 
12/12 = 1
1 YEAR   S.I.= P*R*T/100 = 10000*8*1/100= 
10000*8*1/100 = 800
$800   Answer is $800
Answer: D
Johnny borrows $50,000 from Tony at 3% daily interest compounded daily. How much does Johnny owe Tony after 4 weeks?  Pick one: A) 50000*0.02^28 B) 50000*1.12 C) 50000*2.12 D) 50000*1.03^28 E) (50000*1.02)^28

Solution: A=A= P(1+r100)^n   So, A=50000(1+3/100)^7âˆ—4   So, A= 50000(1.03)^28   Hence answer will be (50000*1.03^28)
Answer: D
A snail, climbing a 36 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?  Select the correct option.
A) 12  B) 14  C) 15  D) 20  E) 21

Solution: total transaction in two days = 8-4= 
8-4 = 4
4 feet   in 15 days it will climb 36 feet   thus reaching the top   therefore , total no of days required=15   15
Answer: C
A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?  Choose the most appropriate option
A) 30
B) 31.25
C) 31
D) 32
E) 33

Solution: Distance d = 1200km   let x be the speed   he walks 15 hours a day(ie 24 - 9)... so totally he walks for 1050hrs...   x = 1200/1050 => 120/105 = 24/21 => 8/7kmph   given 1 1/2 of prev speed   so 3/2 * 8/7= 24/14 = 12/7   new speed = 12/7kmph   now he rests 10 hrs a day ... means he walks 14 hrs a day...   time = 750 * 7 /12= 
750 * 7 /12 = 875/2 = around 437.5
> 437.5hrs=> 437.5/14= 
437.5/14 = 31.25
31.25   ANSWER:31.25
Answer: B
What is the tens digit of 7^1001? Select the correct option.
A) 0 B) 0 C) 2 D) 3 E) 4

Solution: 7^1 = 7   7^2 = 49   7^3 = 343   7^4 = 2401   7^5 = 16807   7^6 = 117649   We should see this as pattern recognition . We have a cycle of 4 . (We can multiply the last 2 digits only as we care about ten's digit )   0 , 4 , 4 , 0 .   1001= 4*250 + 1   The ten's digit will be 1 .   Answer 0
Answer: B
A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?	Choices:
A) 3%
B) 2%
C) 1%
D) 6%
E) 7%

Solution: S.I. = (15500 - 12500) = Rs. 3000\   Rate = (100 * 3000) / (12500 * 4)= 
(100 * 3000) / (12500 * 4) = 6
6%   Answer: 6%
Answer: D
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ? Select:
A) 3 B) 6 C) 5 D) 7 E) 9

Solution: Explanation:   Let the ten's digit be x and unit's digit be y.   Then, (10x + y) - (10y + x) = 63   => 9 (x - y) = 63   => x - y = 7.   Thus, none of the numbers can be deermined..   Answer: 7
Answer: D
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train? Choices.
A) 287 m	B) 266 m	C) 987 m	D) 270 m	E) 256 m

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer:270 m
Answer: D
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.1800. How much third person will get?
Pick one.
A) 400
B) 800
C) 600
D) 1200
E) 1000

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 1800= 
4/9 * 1800 = 800
800   Answer: 800
Answer: B
4 shooters are hitting 1 out of 4 different targets. What is the probability that exactly one shooter will hit each target. Pick one.
A) 4/4^4
B) 4^4/4
C) 4!/4
D) 4!/4^4
E) 1/4!

Solution: Each shooter out of 4 has 4 options, hence total # of outcomes is 4^4;   Favorable outcomes will be 4!, which is # of ways to assign 4 different targets to 4 shooters:   1-2-3-4 (targets)   A-B-C-D (shooters)   B-A-B-C (shooters)   C-B-A-B (shooters)   ...   So basically # of arrangements of 4 distinct objects: 4!.   P=favorable/total=4!/4^4   Answer: 4!/4^4.
Answer: D
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 12, and 18 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Options.
A) 4/15  B) 1/2  C) 15/22  D) 25/12  E) 11/4

Solution: The time it takes printer X is 15 hours.   The combined rate of Y and Z is 1/12 + 1/18 = 5/36   The time it takes Y and Z is 36/5   The ratio of times is 15 / (36/5) = 5*15/36 = 25/12   The answer is 25/12.
Answer: D
The average age 15 members of a committee are the same as it was 2 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?
Select.
A) 18 B) 99 C) 30 D) 26 E) 12

Solution: 15 * 2= 
15 * 2 = 30
30 years   Answer: 30
Answer: C
The circulation for magazine Y in 1971 was 5 times the average (arithmetic mean) yearly circulation for magazine Y for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Y ?  Pick one
A) 3/14
B) 5/14
C) 9/14
D) 11/14
E) 1/2

Solution: There are 9 years from 1972-1980, inclusive. Let's say the average circulation every year between 1972-1980 inclusive is x.   So the total circulation is 9x from 1972-1980, inclusive.   In 1971, the circulation is 5x.   So total circulation for 1971-1980 is 5x + 9x = 14x.   Ratio of circulation in 1971 to total circulation during 1971-1980 is 5x to 14x or 5/14.   Answer : 5/14 5  + 9= 
 5  + 9 = 14
14x.   Ratio of circulation in 1971 to total circulation during 1971-1980 is 5x to 14x or 5/14.   Answer : 5/14
Answer: B
John has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?  Choices
A) 54	B) 55	C) 56	D) 57	E) 58

Solution: Let there be a pennies , b nickels and c dimes   so total amount can be 1+5b+10c cents to 4+5b+10c   as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4)   So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.   so answer is 55
Answer: B
The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is:  Choices.
A) 21 years	B) 18 years	C) 14 years	D) 9 years	E) None of these

Solution: Total age of 3 boys = (28 Ã— 3) years = 84 years. Ratio of their ages = 4 : 6 : 8.   Age of the youngest = (84 Ã— 3â„18) years = 14 years.   Answer 14 years
Answer: C
The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers? Answers
A) 8 B) 15 C) 21 D) 27 E) 39

Solution: Actually, decomposition into factors can easily give you the answer here. You should just do the decomposition of the right thing i.e. the options since they represent the product of those integers.   Since the sum of cubes is 152, the numbers cannot be larger than 5 since 6^3 itself is 216.   21, 27, 39 - The factors are too large so ignore   8 - (2, 4) Does not satisfy   15 - (3, 5) Yes. 3^3 + 5^3 = 152 - Answer   ANSWER:15
Answer: B
Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?  Choose the correct option
A) 95!/100! B) 96!/100! C) (93! X 8!)/100! D) (96! X 8!)/100! E) (97! X 4!)/100!

Solution: Alex to get 8 consecutive cards in ascending order, to have 8 consecutive at the end is good enough.   There are 93 consecutive numbers in 100: {1, 2, 3, 4, 5,6,7,8}, {2, 3, 4, 5, 6,7,8,9}, ..., {93,94,95,96, 97, 98, 99, 100};   Total ways to pick 8 cards out of 100 is {8!*93!}{100!}.   Answer: (93! X 8!)/100!.
Answer: C
The current ages of 3 individuals are in the ratio 4:7:9. 0.8 decades ago, the sum of their ages was 56. Find their current ages in years Choose one:
A) 16, 28, 36
B) 17, 28, 39
C) 18, 30, 38
D) 20, 32, 46
E) None of these

Solution: A   16, 28, 36   Let their current ages are 4A, 7A and 9A years correspondingly.   Then, (416, 28, 36 – 8) + (716, 28, 36 – 8) + (916, 28, 36 – 8) = 56   2016, 28, 36 = 80   16, 28, 36 = 4   Their current ages are   16 years, 28 years and 36 years correspondingly.
Answer: A
How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?
Pick one.
A) 23
B) 27
C) 260
D) 175
E) 191

Solution: Squaring on the both sides, x+3=x2(x+3)x+3=x2(x+3)   Bring x+3 to one side and take common, (x2−1)(x+3)(x2−1)(x+3)   So roots are, 1, -1, 3. But -1 is not a root. So 1, -3 are the roots.   (∵∵ when you square the equation additional roots may be generated. So finally you have to check manually, whether the given roots satisfy the original equation or not)   Answer:27
Answer: B
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 1,000,000 bacteria Choose the correct choice from the following
A) 10
B) 12
C) 14
D) 16
E) 20

Solution: The question basically asks how many minutes it takes for a population to increase by factor 1000 (1,000,000 / 1,000 = 1000).   Now you know that every two minutes the population doubles, i.e. is multiplied by 2. So the equation becomes:   2^x >= 1000, where x represents the number of times the population doubles. A lot of people remember that 2^10 = 1,024. i.e. the population has to double 10 times.   Since it takes the population 2 minutes to double once it takes 10*2= 
10*2 = 20
20 minutes to double nine times.   Thus, solution 20= 20 is correct.
Answer: E
A single discount equivalent to the discount series of 20%, 10% and 5% is? Choose the correct choice from the following options.
A) 31.2
B) 31.2
C) 31.6
D) 31.3
E) 31.1

Solution: 100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer:31.6
Answer: C
If n is a positive integer, what is the remainder when (4^(4n+3))(6^n) is divided by 10?
Answers:
A) 1
B) 2
C) 4
D) 6
E) 8

Solution: This one took me bout 3 1/2 min. Just testin numbers and what not.   First notice that n is positive. Save time by noticing thatI worked out one solution where n=0 only to find that thats not an option :p.   1-7 stands for ^1 thru 7   1: 7*1=7   2: 7*7=9   3: 7*9=3   4: 7*3=1   5: 7*1=7   6: 7*7=9   7: 7*9=3   Pattern repeats every @ 5. Notice every ^4 or multiple of 4 is always going to be 1. This is just for future notice for similar problems.   so 7^4n+3 ---> if n=1 then its ((7^7)*6))/10 which can say is going to be 3*8--> 18/10 --> R=8   Now from here if id double check just to make sure.   7^4(2)+3*6= 
3*6 = 18
18/10 ---> R=8.   4 or J in this problem.
Answer: C
A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00?  Choose one
A) 87
B) 95
C) 102
D) 103
E) 115

Solution: Form 1 PM to 5 PM.   Excluding the actual hour chime we have 20 (1PM)+20(2PM) +20(3PM)+20(4PM) +8 (5PM) = 88   Now the hour chimes are 1+2+3+4+5= 
1+2+3+4+5 = 15
15   Total= 88+15= 
88+15 = 103
103   Answer 103.
Answer: D
If (A+B) = 4, (B+C) = 7 and (C+D) = 5, what is the value of (A+D)?	Answers:
A) 16.
B) 8.
C) 7.
D) 2.
E) -2.

Solution: Given A+B = 4   B+C = 7   C+D = 5   (A+B)-(B+C)+(C+D)=(A+D)   =>4 - 7+5= 
4 - 7+5 = 2
2.   Option 2....
Answer: D
A man buys an item at Rs. 750 and sells it at the loss of 20 percent. Then what is the selling price of that item Choose the correct choice from the following answers:
A) Rs. 660  B) Rs. 760  C) Rs. 600  D) Rs. 960  E) None of these

Solution: Explanation:   Here always remember, when ever x% loss,   it means S.P. = (100 - x)% of C.P   when ever x% profit,   it means S.P. = (100 + x)% of C.P   So here will be (100 - x)% of C.P.   = 80% of 750   = 80/100 * 750= 
80/100 * 750 = 600
600   Option Rs. 600
Answer: C
Find the sum of prime numbers lying between 60 and 75.  Answers:
A) 199	B) 201	C) 211	D) 272	E) None

Solution: Solution   Required sum	=61 + 67 + 71 + 73= 
61 + 67 + 71 + 73 = 272
272.   Answer 272
Answer: D
Two trains are running in opposite directions with the same speed. If the length of each train is 130 m and they cross each other in 12 sec, then the speed of each train is? Choose the correct answer.
A) 30	B) 35	C) 36	D) 37	E) 39

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (130 + 130)/12 => x = 10.83   Speed of each train = 10 m/sec.   = 10.83 * 18/5 =- 39 km/hr.   Answer: Option 39
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 32 hours and 16 hours respectively. The ratio of their speeds is
Pick
A) 4 : 9  B) 4 : 3  C) 4 : 12  D) 1 : 2  E) 4 : 5

Solution: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 16 : 32 = 1 : 2.Answer: 1 : 2
Answer: D
50 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
Choose the correct choice from the following.
A) 14.4
B) 180/7
C) 50.4
D) 64.8
E) 90

Solution: 50% of Area of the floor = 4*9= 
4*9 = 36
36 square feet   i.e. 100% Area of Floor= (36/50)*100 = 64.8 square feet   Answer: Option 64.8
Answer: D
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choose the correct choice from the following choices.
A) 10% B) 30% C) 50% D) 40% E) None of these

Solution: Explanation :   he total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150Profit(%) = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%   Answer : 40%
Answer: D
Out of seven consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
Choose the correct choice
A) 1650	B) 1920	C) 2240	D) 2520	E) 2860

Solution: 7C2 x 3C3 x 5! = 2520   The answer is 2520.
Answer: D
What is the 27th digit to the right of the decimal point in the decimal form of 5/11?	Choose one.
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: 5/11 = 0.45454545...   The odd numbered positions in the decimal expansion are all 4.   The answer is 4.
Answer: B
In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?
Choose the correct choice from the following answers
A) 36	B) 48	C) 72	D) 96	E) 108

Solution: The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24= 
36 + 36 - 24 = 48
48 ({overlap} is green box).   Answer: 48
Answer: B
At a local appliance manufacturing facility, the workers received a 40% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?  Choose the correct choice from the following options
A) 83% B) 28% C) 20% D) 17% E) 12%

Solution: Let's say he works usually 40 hours and earns 100 per hour.   10 * 100= 
10 * 100 = 1_000
1000   10 * 140= 
10 * 140 = 1_400
1400 (this are the new earnings after the raise)   To figure out how much he needs to work with the new salary in order to earn the original 1000:   1000/140= 7.14   So he can reduce his work by 2.86 hours. Which is >28%.   Answer 28%
Answer: B
A circular path of 16 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at Rs.2 per m2?	Choices.
A) Rs.660 B) Rs.40 C) Rs.44 D) Rs.42 E) Rs.43

Solution: Explanation:   π (19^2 - 16^2) = 22/7 * (361-256)= 
22/7 * (361-256) = 330
330   330 * 2= Rs.660   Rs.660nswer: Option Rs.660
Answer: A
If n = 2×3×5×7×11×13×15, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even  Choose the correct option.
A) I only  B) II only  C) I and III  D) III only  E) None of the above

Solution: Statement I: 600 = (2^3)*(3)*(5^2) this is true.   Statement 2: this is NOT true.   Statement 3: (n+4)/2 = n/2 + 2, So this is true.   Hence option (I and III).
Answer: C
By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?	Options:
A) 7 : 4
B) 5 : 3
C) 2 : 1
D) 7 : 6
E) None of these

Solution: Explanation:   let the amounts with A and M be Rs. “X” and Rs. “Y” respectively.   Thus, we have, X + Y = 650 and   X – 50 = Y   X – Y = 50.   Hence, X = 350 & Y = 300   Thus the required ratio is 350 : 300 = 7 : 6   ANSWER 7 : 6
Answer: D
At Amiee’s Pet Shop, 10 cups of bird seed are used every 4 days to feed 6 parakeets. How many cups of bird seed would be required to feed 10 parakeets for 5 days?	Answers: A) 28.7 B) 35.4 C) 2 1/2 D) 50 E) 25

Solution: Let's go step-by-step.   10 cups are used over a 4 day period, which means 2 1/2 cups a day. This feeds 6 parakeets, which means each parakeet needs .41 of a cup every day.   For 10 parakeets, we need 10*.41= 
10*.41 = 4.1
4.10 cups a day. Over 7 days, we need 28.70 cups. Choice 28.7.
Answer: A
If a and b are positive integers and b ≠ 1, then ab(b −1) is	Choose the correct answer.
A) ab^2-ab B) 2/b C) 1/b D) 1/a E) 1/a+1/b

Solution: ab^2-abnswer : ab^2-ab
Answer: A
The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.	Choose the correct choice from the following answers.
A) 4:25	B) 4:28	C) 4:29	D) 4:25	E) 4:21

Solution: Let the diagonals of the squares be 2x and 5x.   Then ratio of their areas will be   4:25rea of square=1/2∗Diagonal2 1/2∗2x2:1/2∗5x24x2:25x2=4:25   4:25nswer: 4:25
Answer: A