MU-NLPC/Calc-aqua_rat huggingface dataset:
Seller selling an apple for Rs.18, a Seller loses 1/6th of what it costs him. The CP of the apple is?  Answers:
A) 10
B) 12
C) 19
D) 18
E) 20

Solution: SP=18Loss=19P19Loss=19P−SP=19P−18⇒19P19=19P−18⇒18 19P19=18⇒19P19=1⇒19P=19   19
Answer: C
How many three digit number formed by using 2,3,4,5,6,7 once such that number is divisible by 15. Select the correct option.
A) 8  B) 13  C) 12  D) 20  E) 22

Solution: 4*2*1= 
4*2*1 = 8
8   at one's place only 5 will come   and at ten's place 4 and 7 can be placed,   and at 100th place rest of the 4 digits can come...   so the answer is 8   8NSWER:8
Answer: A
What is the present worth of Rs. 154 due in 2 years at 5% simple interest per annum? Choose the correct choice from the following:
A) 140
B) 266
C) 120
D) 277
E) 6123

Solution: Let the present worth be Rs. x. Then,   S.I. = (154 - x)   (x * 5 * 2) / 100 = (154 - x)   10x = 15400 - 100x   110x = 15400 => x = 140.   140nswer: 140
Answer: A
An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 40 cm, find the sum of the perimeters of all the triangles.	Choose the correct choice from the following options
A) 180 cm
B) 220 cm
C) 240 cm
D) 270cm
E) 300 cm

Solution: We have 40 for first triangle, when we join mid-points of first triangle we get the second equilateral traingle then the length of second one is 20 and continues.   So we have 40,20,10,...   We have ratio = 1/2, and it is GP type.   Sum of infinite triangle is a/1-r = 40/1-(1/2) = 80   Equilateral triangle perimeter is 3a = 3*80= 
3*80 = 240
240.   So option 240 cm.
Answer: C
In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr?  Choose the correct choice from the following answers:
A) 7 sec B) 6 sec C) 8 sec D) 9 sec E) 5 sec

Solution: Solution   Speed	= (72 x 5 /18) m/sec   = 20 m / sec   Time taken	= (120 /20)= 
(120 /20) = 6
6 sec.   Answer 6 sec
Answer: B
A Cone, a Heme sphere and a Cylinder have equal bases and heights. What is the ratio of their volumes.  Choose one:	A) 1:2:3	B) 1:2:4	C) 3:2:3	D) 4:2:3	E) 1:4:3

Solution: Volume of cone=(1/3)*pi*r^2*h   Volume of hemisphere=(2/3)*pi*r^3   Volume of cylinder=pi*r^2*h   Since base and height of all three figures are same and for hemisphere h=r   So ther volumes are in the ratio (1/3:(2/3):1=1:2:3   1:2:3NSWER:1:2:3
Answer: A
If x and y are different integers, both divisible by 9, then which is not necessarily true?
Choose the correct choice from the following:
A) x^2 + y^2 is divisible by 9	B) x - y is divisible by 9	C) xy is divisible by 9	D) x + y is divisible by 9	E) x + y is divisible by 18

Solution: Let x = 9k and let y = 9j.   Then x+y = 9(k+j) and k+j could be even or odd.   Thus 9(k+j) is not necessarily divisible by 18.   The answer is x + y is divisible by 18.
Answer: E
The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 7 months. At this time, the construction was behind schedule by how many projects?  Select
A) 34
B) 96
C) 130
D) 204
E) 504

Solution: Project/month :   612/18= 
  612/18 = 34
34   Project in 6 month to be completed= 34*7= 
34*7 = 238
238   Lag :  238-108= 
  238-108 = 130
130   130 is the answer
Answer: C
In how many ways can 6 black and 2 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct. Choose the correct choice from the following answers.
A) 12
B) 1440
C) 720
D) 360
E) 180

Solution: 6 black chess pieces can be arranged in 6! ways and 2 white pieces can be arranged in 2! ways.   W_W_W_W   Number of ways = 6!*2! = 720 * 2= 
720 * 2 = 1_440
1440   Answer 1440
Answer: B
Company workers decided to raise Rs. 3 lakhs by equal contribution from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many workers were they?
Select
A) 300 B) 400 C) 500 D) 600 E) 700

Solution: Explanation:   N * 50	= (325000 - 300000)= 
(325000 - 300000) = 25_000
25000   N= 25000 / 50= 
25000 / 50 = 500
500   Option 500
Answer: C
A corporation that had $120 billion in profits for the year paid out $200 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9) Choices:
A) 50%	B) 20%	C) 5%	D) 4%	E) 0.17%

Solution: required answer = [employee benefit/profit] *100   =[(200 million)/(120 billion)]*100   =[(200*10^6)/(120*10^9)]*100   =(1.7/1000)*100= 
(1.7/1000)*100 = 0.17
0.17%   So answer is (0.17%)
Answer: E
On dividing a number by 357, we get 37 as remainder.On dividing the same number by 17, what will be the remainder ? Pick one:	A) 4	B) 3	C) 8	D) 7	E) 2

Solution: Let x be the number and y be the quotient.Then,   x=357*y+37   =(17*21*y)+(17*2)+3   =17*(21y+2)+3.   Required number =3.   Answer is 3
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 36 km/hr. What is the length of the platform? Choose the correct choice from the following choices:  A) 160  B) 240  C) 288  D) 277  E) 221

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Length of the train= 10 * 20= 
10 * 20 = 200
200 m.   Let the length of the platform be x m . Then,   (x + 200)/36= 10=> x = 160 m.   160nswer: 160
Answer: A
B can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?  Choose the correct choice from the following options.
A) B-20.
B) B-12.
C) B-9.
D) B-10.
E) B-13.

Solution: We could use the following logic:   since Bis a multiple of 11, we could very well say B= 11K (where K is 1,2...n).   The condition here should now be   11K + 1 = <operation> such that it gives us an integer   11k +1 </operation>= B-20 => B= 11K + 21 Not divisible by 11   11K +1 = B-12 => B= 11K + 31 Not B-10.ivisible by 11   11K +1 = B -9 => B= 11K + 10 Not B-10.ivisible by 11   11K +1 = B-10 => B= 11K + 11B-10.ivisible by 11   11K +1 = B-13 => B= 11K + 14 Not B-10.ivisible by 11   Answer therefore is B-10 (B-10.)
Answer: D
How many three letter words are formed using the letters of the word MARCH?  Choose the correct choice from the following answers:
A) A)150
B) B)140
C) C)130
D) D)120
E) E)110

Solution: The number of letters in the given word is five.   The number of three letter words that can be formed using these four letters is 5P4   = 5 * 4 *3* 2= 
5 * 4 *3* 2 = 120
120.   Answer:120
Answer: D
Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?  Choose the correct choice from the following choices:
A) 18	B) 28	C) 21	D) 17	E) 19

Solution: 17   17 hrs   The relative speed of the boys = 5.5kmph – 5kmph   = 0.5 kmph   17istance between them is 8.5 km   Time= 8.5km / 0.5 kmph = 17 hrs
Answer: D
The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time W all five colored lights will all flash together at the exact same time?	Choose the most appropriate option.
A) 0:03 AM
B) 0:04 AM
C) 0:06 AM
D) 0:12 AM
E) 0:24 AM

Solution: Time taken by each light to on   Red = 20 secs   Blue = 30 secs   Green = 45 secs   Orange = 60 secs   Yellow = 80 secs   We need to take LCM to find the time all five colored lights will flash together.   LCM = 720 secs   =12 mins   =0.12 AM   Ans = 0:12 AM
Answer: D
Rs.100 doubled in 5 years when compounded annually. How many more years will it take to get another Rs.200 compound interest?
Choose the correct choice from the following answers:
A) 10 years B) 5 years C) 7.5 years D) 15 years E) 8 years

Solution: Explanatory Answer   Rs.100 invested in compound interest becomes Rs.200 in 5 years.   The amount will double again in another 5 years.   i.e., the amount will become Rs.400 in another 5 years.   So, to earn another Rs.200 interest, it will take another 5 years.   Answer 5 years
Answer: B
In a certain province in France there are 9 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment? Select:
A) 36
B) 105
C) 330
D) 14
E) 15

Solution: 1 city needs 8 roads to connect directly to the rest => 9 city needs 9*8 roads.   One road is counted twice => the number of road needed is 9*8/2= 
9*8/2 = 36
36   36nswer 36
Answer: A
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs.925 will be:	Choose the most appropriate option
A) Rs. 300 B) Rs. 200 C) Rs. 250 D) Rs. 350 E) None of these

Solution: Z share = Z,   Y = 1.2Z   X = 1.25Ã—1.2Z,   X+Y+Z =925   (1.25Ã— 1.2+1.2+1)Z=925   3.7Z=925, Z=250   Answer: . Rs. 250
Answer: C
In a survey of 330 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?  Choose the correct choice from the following options:
A) 37/66  B) 8/41  C) 9/348  D) 1/8  E) 41/91

Solution: ---------UI----------------NUI-------Total   PT ----(12.5/100)*104= 
 ----(12.5/100)*104 = 13
13----------- --54   NPT---104-13-------------- x--------276   Total--104----------------------------330   we have to find not part time and not uninsured . in other words not part time and insured= x/330 = (276-104+13)/330   = 37/66   37/66nswer is 37/66.
Answer: A
On 8th Dec, 2007 is Saturday falls. What day of the week was it on 8th Dec. 2006 ?	Choose the correct answer:
A) Sunday
B) Thursday
C) Tuesday
D) Friday
E) None of these

Solution: Solution   The year 2006 is an ordinary year. So, it has 1 odd day.   So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.   But, 8th Dec, 2007 is Saturday.   ∴ 8th Fridayec, 2006 is Friday Answer Friday
Answer: D
A basket has 6 apples and 3 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is Choose the correct choice from the following answers.
A) 25/84 B) 35/48 C) 45/84 D) 55/47 E) 65/84

Solution: Total fruits = 9Since there must be at least two apples,(6C2 * 3C1)/9C3 + 6C3/9C3 = 65/84.Answer:65/84
Answer: E
Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct option:  A) 19.7  B) 20  C) 21.3  D) 21.5  E) 22

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7
Answer: A
Set A consists of the integers from 5 to 10, inclusive, while set B consists of the integers from 1 to 8, inclusive. How many distinct integers do belong to the both sets at the same time?
Choose the correct choice from the following
A) 5  B) 10  C) 8  D) 2  E) 4

Solution: A = {5,6, 7, 8, 9, 10}   B = {1,2,3,4,5,6, 7,8}   Common elements = {5,6, 7, 8} = 4 elements   Answer: Option 4.
Answer: E
Two trains of equal are running on parallel lines in the same direction at 47 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?	Choose the correct choice from the following answers.
A) 50  B) 88  C) 66  D) 55  E) 22

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 47 - 36= 
47 - 36 = 11
11 km/hr.= 11 * 5/18 = 55/18 m/sec.   2x/36 = 55/18 => x = 55.   Answer:55
Answer: D
J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. H alone can dig the well in How many days?
Answers
A) 229  B) 29  C) 27  D) 48  E) 20

Solution: Assume the total work = 48 units.   Capacity fo J = 48 / 16= 
48 / 16 = 3
3 units / day   Capacity of P= 48 / 24= 
48 / 24 = 2
2 units / day   Capacity of J, P, H= 48 / 8= 
48 / 8 = 6
6 units / day   From the above capacity of H= 6 - 2 - 3= 
6 - 2 - 3 = 1
1   So H takes   48 / 1= 
  48 / 1 = 48
48 days to dig the well   Answer:48
Answer: D
A jogger running at 9 km/hr along side a railway track is 180 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct choice from the following answers:
A) 89	B) 20	C) 36	D) 88	E) 30

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 180 + 120= 
180 + 120 = 300
300 m.   Time taken= 300/10= 
300/10 = 30
30 sec.   Answer: Option 30
Answer: E
A hall 36m long and 15m broad is to be paved with stones, each measuring 8dm by 5 dm. The number of stones required is:	Select:
A) 180	B) 1800	C) 18	D) 18000	E) 1350

Solution: Area of the hall= 3600*1500   Area of each stone= (80*50)   Therefore, number of stones= (3600*1500/ 80*50)= 1350   ANSW1350R:1350
Answer: E
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days D do they need to finish the same job?  Choose the correct option.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Let Rate of one worker be R   => (6*R)*8 = 1 (Rate * Time = work)   => R = 1/48   => Work remaining after 3 days   1 - (3*6)/48 = 30/48   3fter 4 ppl joined in   ((6+4)*Time)/48 = 30/48   Time D = 3 days to finish the task   IMO 3
Answer: A
To fill a tank, 100 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four-fifth of its present ?
Choices:
A) 100
B) 125
C) 150
D) 175
E) 200

Solution: Let the capacity of 1 bucket = x.   Then, the capacity of tank = 100x.   New capacity of bucket = 4/5 x   Therefore, Required number of buckets = (100x)/(4x/5)   = (100x) x 5/4x   = 500/4= 
500/4 = 125
125   Answer is 125.
Answer: B
If population of certain city increases at the rate of 5%. If population in 1981 was 185220, then population in 1978 was?  Choose the correct choice from the following:
A) 160000	B) 228788	C) 266891	D) 267689	E) 127791

Solution: X * (105/100) * (105/100) * (105/100) = 185220   X = 185220/1.157625= 
185220/1.157625 = 160_000
160000   160000nswer:160000
Answer: A
A and B can do a work in 2 days, B and C in 4 days and C and A in 6 days. In how many days will the work be completed, if all three of them work together?  Choose the correct choice: A) 10/12 B) 16/28 C) 24/11 D) 42/16 E) 18/12

Solution: One day work of A and B = 1/2   One day work of B and C = 1/4   One day work of C and A = 1/6   2(A + B + C) = 1/2 + 1/4 + 1/6.   2(A + B + C) = 11/12   (A + B + C) = 11/24   Number of days required = 24/11 days.   Answer: 24/11
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?  Answers:
A) 227m
B) 180m
C) 176m
D) 126m
E) 167m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer:180m
Answer: B
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 20%?
Choose the correct choice from the following:	A) 17 per kg	B) 18 per kg	C) 16.5 per kg	D) 16 per kg	E) None of these

Solution: C.P. of 200 kg of mixture = (80 × 13.50 + 120 × 16)   = 3000.   S.P. = 120% of 3000 = (120⁄100 × 3000) = 3600   ∴ Rate of S.P. of the mixture = (3600⁄200) per kg   = 18 per kg.   Answer 18 per kg
Answer: B
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled?	Pick one:
A) 80
B) 81
C) 82
D) 83
E) 84

Solution: Solution:   Mabel handled 90 transactions   Anthony handled 10% more transactions than Mabel   Anthony = 90 + 90 × 10%   = 90 + 90 × 0.10   = 90 + 9= 
90 + 9 = 99
99   Cal handled 2/3rds of the transactions than Anthony handled   Cal= 2/3 × 99   = 66   Jade handled 16 more transactions than Cal.   Jade = 66 + 16= 
66 + 16 = 82
82   Jade handled= 82 transactions.   Answer: 82
Answer: C
10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?	Choose the correct choice from the following answers:  A) 1 2/7 days  B) 64 2/7 days  C) 1 7/7 days  D) 1 8/7 days  E) 62 2/5 days

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/3   15 women's 1 day work = (1/3- 10/100) = 7/30   1 woman's 1 day work = 7/450   1 woman alone can complete the work in 64 2/7 days.   Answer:64 2/7 days
Answer: B
On six consecutive flips of a coin, what is the probability that all six produce the same result?
Choose the correct choice from the following options
A) 1/16  B) 1/8  C) 1/4  D) 3/8  E) 1/32

Solution: TTTTTT case --> P = (1/2)^6 = 1/64   HHHHHH case --> P = (1/2)^6 = 1/64   P(TTTTTT or HHHHHH) = 1/64 + 1/64 = 1/32   Answer: 1/32
Answer: E
Tough and Tricky questions: Work/Rate Problems.
If it takes 90 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job? Choose the most appropriate option:
A) 40/3	B) 11	C) 7	D) 7/3	E) 9

Solution: 90 Workers = 3 hours then,   1 Worker = 3*90 Hours   30 Workers = (3*90) /(30)= 
(3*90) /(30) = 9
9 Answer.9
Answer: E
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:	Choose the correct choice from the following answers:
A) 4	B) 5	C) 6	D) 8	E) 10

Solution: Explanation:   N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)   = H.C.F. of 3360, 2240 and 5600 = 1120.   Sum of digits in N = ( 1 + 1 + 2 + 0 )= 
( 1 + 1 + 2 + 0 ) = 4
4   4NSWER IS 4
Answer: A
If it is assumed that 50 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Pick one
A) 400  B) 420  C) 480  D) 500  E) 600

Solution: Minimum no of mail to be sent for getting 300 responses at 50%   = 300/0.5= 
300/0.5 = 600
600   Option 600
Answer: E
How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/3!?
Choose the correct option:
A) 1	B) 3	C) 5	D) 6	E) 0

Solution: 3! =6   1/10 < 1/6 < 1   0.01 < 1/6 < 1   So 1/6 has 0 leading zeros   Answer: 0
Answer: E
If a job is complete in X days by A, what will be A's one day work?  Choose the correct choice:  A) 1/x  B) x  C) 10  D) 5  E) x/2

Solution: A can complete a work in x days.   so one day work of a is 1/x.   1/xnswer is option 1/x
Answer: A
Weights of two friends Ram and Shyam are in the ratio 7:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? Select the correct option
A) 19%  B) 10%  C) 22%  D) 16%  E) None

Solution: Solution:   given ratio of Ram and Shayam's weight = 7:5   Hence, (x-15)/(15-10) = 7/5   Or, x = 22%.   Answer: Option 22%
Answer: C
The average age of Lion,Tiger & Elephant were 4 years ago was 30 years and the age of lion and elephant were 6 years ago was 20 years. The present age of the Tiger is?	Choose the most appropriate option.
A) 52 years	B) 45 years	C) 30 Years	D) 50 Years	E) 25 Years

Solution: Sum of the present ages of Lion,Tiger & elephant = (30*3+4*3)= 
(30*3+4*3) = 102
102 years.   Sum of the present ages of X,Y= (20*2+6*2)= 
(20*2+6*2) = 52
52 years   Present age tiger= (102 - 52)= 
(102 - 52) = 50
50 years.   Answer : 50 Years
Answer: D
In how many R ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Choose the correct option
A) 6
B) 12
C) 18
D) 24
E) 30

Solution: Number of ways of arranging the word GMAT = 4! = 24   Number of ways of arranging the word GMAT so that A is always in the first = 3! = 6   Number of ways of arranging GMAT so that A is not in the beginning R= 24 - 6= 
24 - 6 = 18
18   Answer: 18
Answer: C
The average of 25 results is 19. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?  Choose the correct choice from the following choices.
A) 74	B) 75	C) 103	D) 78	E) 45

Solution: Solution: Sum of 1st 12 results = 12*14   Sum of last 12 results = 12*17   13th result = x (let)   Now,   12*14+12*17+x = 25*19   Or, x = 103.   Answer: Option 103
Answer: C
A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice?  Choose the correct choice from the following answers:	A) 1/3	B) 2/3	C) 7/5	D) 5/7	E) 3/2

Solution: Say the total number of players is 18, 9 right-handed and 9 left-handed.   On a certain day, two-thirds of the players were absent from practice --> 12 absent and 6 present.   Of the players at practice that day, one-third were right-handed --> 6*1/3=2 were right-handed and 4 left-handed.   The number of right-handed players who were not at practice that day is 9-2 --  6*1/3= 
 --  6*1/3 = 2
2 were right-handed and 4 left-handed.   The number of right-handed players who were not at practice that day is  9-2= 
 9-2 = 7
7.   The number of left-handed players who were not at practice that days is   9-4= 
  9-4 = 5
5.   The ratio= 7/5.   Answer: 7/5.
Answer: C
When n is divided by 27, the remainder is 4. What is the remainder when n + 16 is divided by 7? Choose one.
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Assume n = 23   Remainder (n/27) = 4   n+16 = 39   Remainder (39/7) = 4   Option 4
Answer: C
Efrida and Frazer who live 15 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Select the correct option
A) 6  B) 7  C) 8  D) 10  E) 13

Solution: It's a simple geometry problem. Look at the diagram below:   Answer: 13.
Answer: E
A car takes 6 hours to cover a distance of 720 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choose one.
A) 60	B) 50	C) 80	D) 70	E) 65

Solution: Time = 6   Distance = 720   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 720/9= 
720/9 = 80
80 Kmph   Answer 80.
Answer: C