MU-NLPC/Calc-aqua_rat huggingface dataset:
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed? Pick one:
A) $430  B) $620  C) $650  D) $680  E) $710

Solution: For 100-30-20= 
100-30-20 = 50
50 pages only cost is 5$ per page for the first time page is typed - 50*5=250$;   For 30 pages the cost is: first time 5$ + 3$ of the first revision - 30*(5+3)=240$;   For 20 pages the cost is: first time 5$ + 3$ of the first revision + 3$ of the second revision - 20(5+3+3)=220$;   Total: 250+240+220= 
250+240+220 = 710
710$.   Answer: $710.
Answer: E
All possible two factors products are formed from the numbers 1, 2, 3, 4, ....., 200. The number of factors out of total obtained which are multiples of 5 is Choose the correct option:
A) 5040  B) 7180  C) 8150  D) 7280  E) None of these

Solution: The total number of two factor products = 200C2. The number of numbers from 1 to 200 which are not multiples of 5 is 160. Therefore the total number of two factor products which are not multiple of 5 is 160C2. Hence,the required number of factors which are multiples of 5 = 200C2 – 160C2 = 7180.   Answer 7180
Answer: B
A milk man has 30 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Options:
A) 20%
B) 25%
C) 33.33%
D) 35%
E) None of these

Solution: Explanation:   when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 30 liters of milk.   Therefore, profit percentage = 35 %. Answer: 35%
Answer: D
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
8 minutes more to walk to work than to ride his bicycle, then x equals	Choose the correct choice from the following:
A) 4  B) 7  C) 12  D) 15  E) 20

Solution: The best way would be...   Per km, he takes 40 secs extra if he walks   So he will take 8 mins or 8*60 secs in 8*60/40= 
8*60/40 = 12
12 km   ANSWER:12
Answer: C
Mr.Parkin invested in Fund Z and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund Z paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund Z.How much did Ms. Morris invest in Fund Z?	Choose the correct answer:
A) $32,000
B) $36,000
C) $40,000
D) $42,000
E) $45,000

Solution: 0.17B-0.23Z = 200 | * 100   17B-23Z=20,000   Z+B=100,000   B=100,000 - Z   17(100,000 - Z) - 23Z = 20,000   1,700,000 - 17Z - 23Z = 20,000   1,680,000 = 40Z   divide by 40   first two digits: 42...so answer is $42,000.
Answer: D
2 is what percent of 40? Options.
A) 0.2%	B) 2%	C) 5%	D) 20%	E) 500%

Solution: 2= x*40/100   x = 5%   Ans; 5%
Answer: C
A woman begins bicycling with a pace of 8 kmph and she increases her pace every hour by 2 kmph. She does not increase her pace as soon as her pace reaches her maximum speed of 12 kmph. How many hours did she bicycle if she traveled 64 kms? Choose the correct choice.
A) 6 1â„7 hours
B) 6 2â„7 hours
C) 8 2â„7 hours
D) 5 5â„6 hours
E) 6 1â„3 hours

Solution: Distance covered in first hour = 8 Ã— 1 = 8 km   Distance covered in next hour = 10 Ã— 1 = 10 km   Distance covered in next hour = 12 Ã— 1 = 12 km   Distance covered in first three hours    8 + 10 + 12= 
 8 + 10 + 12 = 30
30 km   Remaining distance= 64 â€“ 30 = 34 km.   Now, this distance will be covered at the speed of 12 km/hr.   âˆ´ Time taken = 34â„12 = 17â„6 hour.   Total time= 3 + 1â„3 = 3 17â„6 hour = 5 5â„6 hour   Answer 5 5â„6 hours
Answer: D
Using all the letters of the word "NOKIASED", how many words can be formed, which begin with N and end with A?
Pick one.
A) 800 B) 720 C) 900 D) 300 E) 100

Solution: There are five letters in the given word.   Consider 8 blanks ....   The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 6! ways.   The number of words = 6! = 720.   Answer:720
Answer: B
A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Pick: A) 37 B) 38 C) 60 D) 90 E) 28

Solution: Let number of notes of each denomination be x.   Then, x + 5x + 10x = 320 16x = 320 x = 20.   Hence, total number of notes = 3x = 60.   Answer:60
Answer: C
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. The radius of the sphere is	Choose the correct choice from the following answers
A) 3 cm B) 4 cm C) 6 cm D) 8 cm E) None

Solution: Solution   4Î R2	= 2Î 3x6   â‡’ R2 = (3x6/2)   â‡’ 9   â‡’ R = 3 cm.   3 cmnswer 3 cm
Answer: A
A man can row upstream at 15 kmph and downstream at 25 kmph, and then find the speed of the man in still water? Choose the correct choice from the following answers
A) 27 B) 29 C) 30 D) 20 E) 24

Solution: US = 15   20S = 25   M = (15 + 25)/2= 
(15 + 25)/2 = 20
20   Answer:20
Answer: D
Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?	Choose the correct choice from the following:
A) 315	B) 325	C) 335	D) 345	E) 305

Solution: for 1 revolution:front wheel goes 7 ft.and back wheel goes 9feet.   let distance is x feet.   x/7=(x/9)+10   or,2x/63=10   or,x=(10*63)/2   therefore,x=315 315NSWER:315
Answer: A
x, y, and z are all unique numbers. If x is chosen randomly from the set {5, 6, 7, 8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?  Choose the correct option.
A) 1/5	B) 3/20	C) 1/7	D) 2/15	E) 3/28

Solution: P(x is prime) = 3/7   P(y is prime) = 1/4   If y is prime, then z is not prime since y and z are unique.   Then the probability is 3/7*1/4 = 3/28   The answer is 3/28.
Answer: E
Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 31~ ?
Select the correct option.
A) 2 B) 1 C) 0 D) 8 E) 31

Solution: n~ = (n-1)!   so 31~ = (31-1)= 
(31-1) = 30
30!   when 30!/31 we have 16*2 inside 30!   hence 31 gets cancelled and we get remainder as 0   0
Answer: C
A company has 17 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?	Choose the correct choice from the following:  A) 2380  B) 2400  C) 2420  D) 2440  E) 2460

Solution: 17C4=2380   The answer is 2380.
Answer: A
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choose the most appropriate option:
A) 3 : 5 : 2 B) 3 : 5 : 5 C) 6 : 10 : 5 D) 5:8:10 E) Data inadequate

Solution: Let the initial investments of A and B be 3x and 5x.   A : B : 6 : 10 : 5 = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
Answer: C
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 50% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choose the correct answer
A) 36%  B) 60%  C) 66%  D) 75%  E) 84%

Solution: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.5*0.5 = 0.25. So, the probability that he will be able to attend is 1 - 0.25 = 0.75.   Answer: 75%.
Answer: D
A certain tire company can produce tires at a cost of $22,500 per batch plus $10 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?	Choose the correct option
A) $9.00  B) $8.50  C) $11.00  D) $13.50  E) $20.00

Solution: CP(15000 tires) = $22500 +($10×15000) =$172500   SP (15000 tires) = $20×15000 = $300000   Profit = SP-CP   = $300000-$172500= $127500   PROFIT/TIRE 300000- 172500= 
300000- 172500 = 127_500
$127500   PROFIT/TIRE= $127500/15000= 
127500/15000 = 17/2 = around 8.5
$8.50   Answer $8.50
Answer: B
A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 45 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?  Choose one
A) 5:00  B) 5:34  C) 5:42  D) 6:34  E) 6:24

Solution: C1 loses 15 minutes every hour. So after 60 minutes have passed, C1 displays that 60-15= 
60-15 = 45
45 minutes have passed.   C2 gains 15 minutes for every 60 minutes displayed on C1. Thus, the time displayed on C2 is 75/60= 5/4 the time displayed on C1. So after 60 minutes have passed, C2 displays the passing of (5/4 * 45) minutes.   C3 loses 20 minutes for every 60 minutes displayed on C2. Thus, the time displayed on C3 is 40/60 = 2/3 the time displayed on C2. So after 60 minutes have passed, C3 displays the passing of (2/3 * 5/4 * 45) minutes.   C4 gains 20 minutes for every 60 minutes displayed on C3. Thus, the time displayed on C4 is 80/60 = 4/3 the time displayed on clock 3. So after 60 minutes have passed, C4 displays the passing of  4/3 * 2/3 * 5/4 * 45= 
 4/3 * 2/3 * 5/4 * 45 = 50
50 minutes.   C4 loses 10 minutes every hour.   In 6 hours, C4 will lose   6*10= 
  6*10 = 60
60 minutes= 1 hour.   Since the correct time after 6 hours will be 6pm, C4 will show a time of 6-1 = 6:34pm.   The correct answer is 6:34.
Answer: D
A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?  Choose the correct choice from the following.
A) 1 kmph B) 2 kmph C) 7 kmph D) 6 kmph E) 3 kmph

Solution: 6 kmphS =22   US =10   S = ?   S = (22 - 10)/2= 
(22 - 10)/2 = 6
6 kmph   Answer:6 kmph
Answer: D
There are 99 birds on the roof.
suddenly all birds fly away.
some birds fly to east.
birds fly to west is twice of that of east.
birds fly to north is twice of that of west.
Birds flies to south is same as in north.
Find the no. of birds fly in all diections. Choose the correct choice from the following options:
A) 99
B) 89
C) 79
D) 84
E) 74

Solution: east= x   west= 2x   north= 4x   south=4x   x+2x+4x+4x=99   11x=99   x=9   east= 9   west= 18   north = south=36   99NSWER:99
Answer: A
At a summer camp with 1,800 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,800 campers will the 8- to 12-year-olds represent?	Pick one:  A) 68%  B) 66%  C) 66 2/3%  D) 60%  E) 70%

Solution: Total - 1,800 participants   campers are aged 8 to 12 = (1/2)*1800= 
(1/2)*1800 = 900
900   Next year, campers are aged 8 to 12= (4/3)*900= 
(4/3)*900 = 1_200
1200   Percentage= (1200/1800)*100 = 66 2/3%   Answer: Option 66 2/3%
Answer: C
John and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but John is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool? Choose one.
A) 45	B) 50	C) 55	D) 60	E) 65

Solution: let x=length of pool   at first meeting, combined distance=x   at second meeting, combined distance=3x   if andy swims 18.5 m of x, then he will swim  3*18.5= 
 3*18.5 = 55.5
55.5 m of 3x   andy's total distance to second meeting=x+10.5 m   x+10.5=55.5 m   x=45 m   45
Answer: A
If a town of 75,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?	Choices
A) a.76000	B) b.77000	C) c.78000	D) d.79000	E) e.80000

Solution: 1% is quite small and hence the answer is a.76000)
Answer: A
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?	Answers: A) 9 min B) 10 min C) 11 min D) 12 min E) 13 min

Solution: 4/12 + x/15 = 1   x = 10   ANSWER:10 min
Answer: B
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:  Choose the correct choice:
A) 23
B) 20
C) 12
D) 128
E) 171

Solution: Let the numbers be x and y.   Then, xy = 120 and x2 + y2 = 289.   (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529   x + y = 529 = 23.   23NSWER 23
Answer: A
If the digits 29 in the decimal 0.00029 repeat indefinitely, what is the value of (10^5-10^3)(0.00029)?
Choices
A) 2.9e-06 B) 2.9e-05 C) 0.0029 D) 29 E) 0.29

Solution: 99*0.29= 
99*0.29 = 28.71
28.71 approx. 29   Answer : 29
Answer: D
By selling an article at Rs.600, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?	Choose the correct choice.
A) s.360  B) s.480  C) s.500  D) s.450  E) s.550

Solution: SP = 600   Profit = 25%   CP = (SP)*[100/(100+P)]   = 600 * [100/125]   = 480   Loss 600 *  100/125= 
600 *  100/125 = 480
480   Loss= 25% = 25% of 480 = Rs.120   SP = CP - Loss = 480 - 120 = Rs.360   s.360NSWER:s.360
Answer: A
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Choose the correct choice from the following options
A) 2
B) 3
C) 4
D) 1
E) 5

Solution: Amount = (30000 + 4347) = Rs. 34347   Let the time be n years. Then,   30000(1 + 7/100)n = 34347   = (107/100)n = 34347/30000 = (107/100)2   n = 2 years.   2NSWER:2
Answer: A
If a man walks to his office at ¾ of his usual rate, he reaches office 1/2 of an hour late than usual. What is his usual time to reach office?
Choose the correct choice from the following.
A) 1 1/4 hour	B) 1 1/2 hour	C) 1 1/3 hour	D) 1 1/5 hour	E) 2 1/2 hour

Solution: Speed Ratio = 1:3/4 = 4:3   Time Ratio = 3:4   1 -------- 1/2   3 --------- ?   => 1 1/2 hour   ANSWER:1 1/2 hour
Answer: B
By selling 15 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?	Choose the correct answer
A) 8	B) 7	C) 9	D) 4	E) 11

Solution: 75% --- 12   125% --- ?     75/125 * 15= 
  75/125 * 15 = 9
9   Answer:9
Answer: C
Out of 40 consecutive integers, two are chosen at random. Find the probability that their sum is odd? Choose the correct choice from the following answers:
A) 21/40	B) 19/39	C) 21/39	D) 20/39	E) 22/39

Solution: Forty consecutive integers will have 20 even and 20 odd integers. The sum of 2 chosen integers will be odd, only if:   First is even and second is odd   First is odd and second is even   Mathematically the probability will be given by:   P(First is even) * P(Second is odd) + P(First is odd) * P(Second is even)   = (20/40) * (20/39) + (20/40) * (20/39)   = 20/39 answer :20/39
Answer: D
2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be Pick one.
A) 3  B) 4  C) 7  D) 8  E) 9

Solution: (7)   Required remainder = remainder by (13 +11)/17 = 7
Answer: C
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?	Choices.
A) 28 B) 27 C) 40 D) 99 E) 82

Solution: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150   Profit(%) = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%   Answer:40
Answer: C
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability Q that the game will end after the fourth throw? Choose the correct choice from the following choices:
A) 1/16  B) 3/32  C) 1/8  D) 3/16  E) 1/4

Solution: Another approach:   Two likely scenarios would be : HHTH or THTH   for each of the scenarios probability would be 1/16   So Probablilty Q is 1/16 + 1/16 = 1/8=1/8
Answer: C
From the sale of sleeping bags, a retailer made a gross profit of 12% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?	Choose the correct choice
A) 3.0  B) 3.36  C) 24.64  D) 25.0  E) 31.36

Solution: Cost price * 1.12 = Selling price --> Cost price * 1.12 = $28 --> Cost price = $25.   Answer: D.   Actually even without any math only C and 25.0 make any sense, but since 24.64 * 1.12 won't be an integer ($28) then only answer choice 25.0 remains.
Answer: D
Of the three digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?  Choose the correct choice from the following options:
A) 90
B) 82
C) 80
D) 45
E) 36

Solution: Three digit number can have only following 3 patterns:   A. all digits are distinct;   B. two are alike and third is different;   C. all three digits are alike.   We need to calculate B. B=Total - A - C   Total numbers from 700 to 999 = 299 (3-digit numbers greater than 700);   A. all digits are distinct = 3*9*8= 
3*9*8 = 216
216 (first digit can have only three values 7, 8, or 9);   C. all three are alike= 3 (777, 888, 999).   So, 299-216-3=80.   Answer: 80.
Answer: C
19/38 = 4/8 . which method did you use to determine whether this proportion is true or false?
Select the correct option
A) true	B) neutral	C) false	D) not sure	E) none

Solution: 19/38= 4/8 cross multiplication:   19 *8= 
  19 *8 = 152
152, 4* 38= 152,   we see that 152 are not equal to 81. so there is proportion. corrcet answer: (true)
Answer: A
What is the area of a square field whose diagonal of length 20 m?
Choose one.
A) 300 sq m  B) 250 sq m  C) 200 sq m  D) 400 sq m  E) 450 sq m

Solution: Explanation:   d2/2 = (20 * 20)/2= 
(20 * 20)/2 = 200
200   ANSWER IS 200 sq m
Answer: C
Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?
Pick:
A) £ 300 B) £ 330 C) £ 360 D) £ 420 E) £ 460

Solution: 7week=300+holiday   1 week= (300+ holiday)/7   4 week =(300+ hliday)*4/7-- eqn1   bt 4 week = 30 + holiday(given)--eqn2   equate eqn 1 and eqn 2 to get th ecost of holiday=330   ANSWER:£ 330
Answer: B
A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?	Choose the correct choice from the following choices.
A) knx	B) k⁄n	C) x	D) kx⁄n	E) kn⁄x

Solution: Given Speed = k/n   To Find distance in x hours with same speed   kx⁄nistance = speed * time   kx⁄nistance = k/n*x = kx/n   Answer kx⁄n
Answer: D
If a, b, and c are positive integers such that a is divisible by b, and c is divisible by a, which of the following is NOT necessarily an integer?  Choose the correct choice from the following choices.
A) (a + c)/b
B) (c - a)/b
C) ca/b
D) (c + b)/a
E) cb/a

Solution: a=bx.........(1)   c=aY.........(2)   a. (A+C)/B = (bx+ay)/b = (bx+ bxy)/b =x+xy=integer   b. (c-a)/b = (ay-a)/b = a(y-1)/b = bx(y-1)/b = integer.   similarly   All options were integer except D.   d.(c+b)/a   ay+b)/a .....not integer......   Ans (c + b)/a
Answer: D
Four years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Pick:  A) 14  B) 17  C) 29  D) 31  E) 35

Solution: Let present age of P and Q be 3x3x and 4x4x respectively.   Ten years ago, P was half of Q's age   â‡’(3xâˆ’4)=1/2(4xâˆ’4)   â‡’6xâˆ’8=4xâˆ’4   â‡’2x=4   â‡’x=2   Total of their present ages   =3x+4x=7x3 +4= 
3 +4 = 7
7x=7Ã—2=14   14
Answer: A
If the two hands in a clock are 2 minutes divisions apart,then the angle between them is
Choose the correct choice from the following answers:  A) 3Â°  B) 12Â°  C) 24Â°  D) 60Â°  E) None of these

Solution: In a clock, each minute makes 6Â°   âˆ´ 2 minutes will make 6 Ã— 2 = 12Â°   Answer 12Â°
Answer: B
Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg. How much amount did he pay to the shopkeeper? Pick one.
A) A)1040  B) B)1145  C) C)1055  D) D)1060  E) E)1075

Solution: Cost of 8 kg apples= 70 × 8 = 560.   Cost of 9 kg of mangoes = 65 × 9 = 585.   Total cost he has to pay = 560 + 585= 
560 + 585 = 1_145
1145.   1145)
Answer: B
The perimeter of a rectangle is 60 mete(132)7 × (132)? = (132)11.5.  Answers.
A) 3 B) 3.5 C) 4 D) 4.5 E) 5

Solution: 7+x=11.5   x=11.5-7= 
11.5-7 = 4.5
4.5   ANSWER:4.5
Answer: D
122 * 252 - 12234 = ? Choose the most appropriate option.
A) 15310  B) 18870  C) 24510  D) 18510  E) 42510

Solution: 18510   ? = 122 * 252 - 12234   = 30744 - 12234= 
30744 - 12234 = 18_510
18510
Answer: D
A photography dealer ordered 75 Model X cameras to be sold for $250 each, which represents a 20 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 75 cameras?	Choose the correct choice from the following answers:
A) 7% loss
B) 13% loss
C) 7% profit
D) 13% profit
E) 14.4% profit

Solution: Total cost 75*($250/1.2)=62.5*250;   # of cameras sold is  60-6= 
 60-6 = 54
54 total revenue is 69*250;   # of cameras returned is 6 total refund 6*(250/1.2)*0.5;   So, total income 69*250+ 6*(250/1.2)*0.5   The dealer's approximate profit is   (69*250+ 6*(250/1.2)*0.5-62.5*250)/(62.5*250)*100= 
  (69*250+ 6*(250/1.2)*0.5-62.5*250)/(62.5*250)*100 = 14.4
14.4%   Answer: 14.4% profit.
Answer: E
Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together? Options:
A) 10 1/10 days B) 18 1/10 days C) 7 1/10 days D) 8 1/10 days E) 9 1/10 days

Solution: 1/12 + 1/25 = 37/300   300/37 = 8 1/10 days   ANSWER:8 1/10 days
Answer: D
The original price of a television is 350$. What percent of the original price has been taken off if the retailer offers a discount of 122,50$ on the television?	Choose the correct answer:
A) 35% B) 30% C) 40% D) 45% E) 25%

Solution: Explanation :   Total cost of the television: 350   Required percentage = (122,5/350) Ã— 100 = 35%   35%nswer : Option 35%
Answer: A
There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?
Select the correct option
A) 1950	B) 2000	C) 1980	D) 1580	E) 2600

Solution: Maximum points of intersection between n different circles = n*(n - 1) = 45*44= 
45*44 = 1_980
1980   Answer: 1980
Answer: C
The sum of two numbers is 45. The sum of their quotient and is reciprocal is 2.05, the product of the numbers is? Choices:
A) 300 B) 400 C) 500 D) 600 E) 700

Solution: a + b = 45   a/b+b/a = 2.05   =>(a^2+b^2)/ab = 2.05   =>((a+b)^2−2ab)/ab=2.05   =>(a+b)^2 = 2.05ab + 2ab = 4.05ab   => ab = 45^2 / 4.05 = 500   ANSWER:500
Answer: C
4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?	Select the correct option.
A) 4
B) 6
C) 16
D) 24
E) 256

Solution: it is like a circular arrangement.   total ways for n people to arrange in a circle is = factorial (n-1)   in this case n= 4   hence ans = 3 factorial = 6   hence 6
Answer: B