MU-NLPC/Calc-aqua_rat huggingface dataset:
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?  Choose the correct choice from the following answers
A) 17 kmph B) 45 kmph C) 17 kmph D) 19 kmph E) 13 kmph

Solution: Let the distance to be travelled to catch the bus be x km   x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km   By traavelling 30 kmph time taken = 60/30= 
60/30 = 2
2 hours   By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed= 60/(4/3)= 
60/(4/3) = 45
45 kmph.   Answer: 45 kmph
Answer: B
A motorist travel to a place 150 km away at an average speed of 120 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Choose the correct answer.
A) 36 km/hr  B) 37 km/hr  C) 45 km/hr  D) 48 km/hr  E) None of these

Solution: Explanation:   Average speed will be   2xy/x+y km/hr   = {2(120)(30)}/{120+30} km/hr   = 48 km/hr   Answer: Option 48 km/hr
Answer: D
A can do a work in 7 days B in 12 days and C in 5 days. If they work on it together then in how many days required to complete the work?  Options:	A) 420/177	B) 420/179	C) 410/87	D) 90/14	E) 77/56

Solution: Person ( A ) ( 420/179 ) ( C ) (A+420/179+C)   Time - ( 7 ) ( 12 ) ( 5 )   Rate - (60) (35) ( 84 ) (179)   Work - (420) (420) (420) (420)   therefore A+420/179+C requires (420/179) days to complete entire work   = 420/179   Answer is 420/179
Answer: B
85% of a number is added to 24, the result is the same number. Find the number? Choose the correct choice from the following options
A) 338  B) 277  C) 160  D) 882  E) 232

Solution: (85/100) * X + 24 = X   3X = 480   X = 160   Answer:882
Answer: D
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?  Choose the correct choice from the following choices
A) 8
B) 27
C) 32
D) 42
E) 52

Solution: Let the number be x. Then,   x + 1/x = 34/8   8x2 - 34x + 8 = 0   4x2 - 17x + 4 = 0   (4x - 1)(x - 4) = 0   x = 4   required number = 4 * √4 = 4 * 2= 
4 * 2 = 8
8.   8NSWER:8
Answer: A
A man covers a certain distance C in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Choose one:
A) 200 km
B) 50 km
C) 20 km
D) 60 km
E) 80 km

Solution: Not really. When you solve the 2 equation above, you get,   6T-4/3 = 5R/6 from simplifying equation 1   4T-2=R/2 from simplifying equation 2   You can now multiply equation 2 by 5 to get   5(4T-2=R/2 ) = 20T-10=5R/2 and then subtract this new equation from equation 1 to get T=3, followed by R=20 to give you distance C= R*T=20*3= 
20*3 = 60
60 km.60 km
Answer: D
Which number is the odd one out?
159
642
693
537
289
582	Choose the correct choice.
A) 916
B) 345
C) 895
D) 642
E) 624

Solution: 642   642   In the rest there is the same difference between each digit, eg: 6 (Ã¢â‚¬â€œ2) 4 (Ã¢â‚¬â€œ2)2
Answer: D
sue has 3 apples. Billy has 5 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Pick one:	A) 2	B) 5	C) 6	D) 4	E) 8

Solution: 4 4
Answer: D
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choose the correct choice from the following options.
A) 2 B) 5 C) 7 D) 5 E) 8

Solution: Explanation:   |-----------20--------------------|   50 40   D = 20   RS = 50 – 40 = 10   T = 20/10= 
20/10 = 2
2 hours   2nswer: Option 2
Answer: A
11^9 - 11^2 is approximation of which of the following?	Choose the correct choice from the following options
A) 9^7 B) 9^8 C) 9^9 D) 11^9 E) 9^10

Solution: => Since 9^2 is a small number compared to 11^9, it can be disregarded. Thus, 11^9-11^2=11^9 is derived and the answer is 11^9.
Answer: D
(?) + 3699 + 1985 - 2047 = 31111  Options.
A) 27460 B) 27474 C) 27485 D) 27490 E) 27495

Solution: x + 3699 + 1985 - 2047 = 31111   x + 3699 + 1985 = 31111 + 2047   x + 5684 = 33158   x = 33158 - 5684= 
33158 - 5684 = 27_474
27474.   27474)
Answer: B
A man takes
5
5 hours
45
45 min in walking to a certain place and riding back. He would have gained
2
2 hours by riding both ways. The time he would take to walk both ways is Choose the correct answer
A) 11 hrs
B) 8 hrs 45 min
C) 7 hrs 45 min
D) 9 hrs 20 min
E) 8 hrs

Solution: Explanation:   Solution 1Given that time taken for riding both ways will be 22 hours lesser than the time needed for waking one way and riding back.   Therefore,   time needed for riding one way = time needed for waking one way - 22 hours   Given that time taken in walking one way and riding back =5=5 hours 4545 min   Hence, the time he would take to walk both ways   =5=5 hours 4545 min + 22 hours   =7=7 hours 4545 min   Answer is 7 hrs 45 min
Answer: C
Henry completes a piece of work in 640 days, Rose completes the same work in 960 days. If both of them work together, then the number of days required to complete the work is?
Pick:
A) 384
B) 385
C) 386
D) 387
E) 388

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 640 × 960/1600 = 384 days   384nswer is 384
Answer: A
What are the next two letters in the following series and why?
W A T N T L I T F S _ _
*Hint : Look into the title of the Riddle	Choose the correct choice from the following:
A) A and W  B) A and E  C) B and W  D) A and C  E) S and W

Solution: A   A and W.   The letters are the first letters of the words in the question. Thus, the next two letters are A and W and W.
Answer: A
Which is the least number that must be subtracted from 1256 so that the remainder when divided by 7, 12, 16 is 4?  Choices
A) 242 B) 232 C) 236 D) 240 E) 244

Solution: First we need to figure out what numbers are exactly divisible by 7,12,16. This will be the set {LCM,LCMx2,LCMx3,...}   LCM(7,12,16) = 48*7= 
48*7 = 336
336   The numbers which will leave remainder 4 will be {336+4, 336x2 +4, 336x3 +4,...}   The largest such number less than or equal to 1256 is 336x3+4 or 1012   To obtain this you need to subtract 244.   244
Answer: E
An outlet pipe empties a tank which is full in 8 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 4 hours longer. Find the capacity of the tank. Select the correct option.
A) 8600 litres
B) 200 litres
C) 12800 litres
D) 11520 litres
E) 13200 litres

Solution: Let the rate of outlet pipe be x liters/hour;   Rate of inlet pipe is 8 litres/min, or  8*60= 
 8*60 = 480
480 liters/hour;   Net outflow rate when both pipes operate would be x-480 liters/hour.   Capacity of the tank= x*8 hours = (x-480)*(8+4) hours   8x=(x-480)*12 --> x=1440 --> capacity = 8x = 11520 liters.   Answer: 11520 litres.
Answer: D
The sum of three consecutive numbers is 87. The greatest among these three number is:  Choices.
A) 26  B) 28  C) 29  D) 30  E) 31

Solution: Let the numbers be x, x + 1 and x + 2   Then,   x + (x + 1) + (x + 2) = 87   3x = 84   x = 28   Greatest number, (x + 2) = 30.   ANSWER:30
Answer: D
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?	Pick one.
A) 11 1/5	B) 11 1/4	C) 11 1/9	D) 11 1/2	E) 11 1/1

Solution: 3/12 + x/15 = 1   x= 11 1/4   Answer:11 1/4
Answer: B
Simplify (3^y + 3^y) (2^y + 2^y + 2^y) Choices:
A) 4^4y * 3^3y
B) 12^y+1
C) 16^y + 9^y
D) 12^y
E) 6^y+1

Solution: 6^y+1   (3^y + 3^y) (2^y + 2^y + 2^y)   (2*3^y)(3*2^y)   6*6^y=6^(y+1)..
Answer: E
A painting at an art gallery is framed such that the area of the square frame is 2/3 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 10, what is the area of the painting inside the frame?	Choose the correct answer.
A) 10	B) 20	C) 30	D) 40	E) 50

Solution: Suppose side of the painting(which is a square) is a and side of the outer square(painting+frame) is b   Area of painting = a^2 and we know that the area of the frame is (2/3) of that of the painting so   Area of frame = (2/3) * a^2   Area of Frame + Painting = a^2 + (2/3)*a^2 = (5/3)*a^2 which is equal to b^2   Line connecting the corners of the frame is the diagonal of the outer square which is equal to b*sqrt2   so, b * sqrt2 = 10   so, b = 5 * sqrt2   b^2 = 50   we know that b^2 = (5/3)*a^2   so, a^2 = (3/5)*b^2 = (3/5)*50= 
(3/5)*50 = 30
30   And area of painting= a^2 = 30   So, answer will be 30.
Answer: C
In a room filled with 6 people, all 6 people have exactly 1 sibling in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings? Choose the correct choice from the following answers.
A) 3/5
B) 4/5
C) 5/6
D) 5/12
E) 7/12

Solution: The 6 people consist of three sets of 2 siblings.   The number of ways to choose 2 people is 6C2 = 15.   The number of ways to choose 2 from the first group of siblings is 2C2 = 1.   The number of ways to choose 2 from the second group of siblings is 2C2 = 1.   The number of ways to choose 2 from the third group of siblings is 2C2 = 1.   The number of ways to choose 2 people who are siblings is  1+1+1= 
 1+1+1 = 3
3.   The number of ways to choose 2 people who are not siblings is   15-3= 
  15-3 = 12
12.   P(the two people are not siblings)= 12/15 = 4/5   The answer is 4/5.
Answer: B
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.3 km long? Pick one:
A) 2 mins 14 sec
B) 2 mins 34 sec
C) 168 sec
D) 344 sec
E) 2 mins 44 sec

Solution: D = 25 * 60 + 1300= 
25 * 60 + 1300 = 2_800
2800 m   T= 2800/60 * 18/5= 
2800/60 * 18/5 = 168
168 sec   ANSWER:168 sec
Answer: C
If 2 persons can do 2 times of a particular work in 2 days, then, 7 persons can do 7 times of that work in
?	Choose one.
A) 3 days
B) 7 days
C) 9 days
D) 2 days
E) 15 days

Solution: That is, 1 person can do one time of the work in 2 days.   Therefore, 7 persons can do 7 times work in the same 2 days itself.   Option '2 days'
Answer: D
There are 10 periods in each working day of a school. In how many ways can one organize 9 subjects such that each subject is allowed at least one period?  Choose the correct answer
A) 16329600
B) 16356789
C) 16324600
D) 15679892
E) None of these

Solution: 9 subjects can be arranged in 10 periods in 10P9 ways.   Remaining 1 period can be arranged in 9P1 ways.   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements = (10p9 x 9P1)/2! = 16329600   16329600NSWER:16329600
Answer: A
19 balls are numbered 1 to 19. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?  Choose one:
A) 2/9
B) 4/19
C) 6/29
D) 8/39
E) 10/49

Solution: P(1st ball is even) = 9/19   P(2nd ball is also even) = 8/18   P(both balls are even) = 9/19 * 8/18 = 4/19   The answer is 4/19.
Answer: B
A survey reveals that the average income of a company’s customers is $50,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $75,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?  Choose the correct choice from the following choices:
A) $27,500
B) $43,750
C) $37,500
D) $42,500
E) $50,000

Solution: let x be the average of 40 customers   40*x + 10* 75000 = 50*50000   solving this we have x= 43750   Answer is $43,750.
Answer: B
The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?  Choose one
A) 715  B) 825  C) 286  D) 582  E) 465

Solution: First number * Second Number = L286M * H286F   Other number = 2310 * 26 / 210 = 11*26= 
11*26 = 286
286   ANSWER :286
Answer: C
In a country where everyone wants a boy, each family continues having babies till they have a boy. After some time, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same) Choose the correct choice from the following.
A) 1:2
B) 3:5
C) 1:1
D) 3:7
E) 2:4

Solution: C   1:1   This is a very simple probability question in a software interview. This question might be a little old to be ever asked again but it is a good warm up.   Assume there are C number of couples so there would be C boys. The number of girls can be calculated by the following method.   Number of girls = 0*(Probability of 0 girls) + 1*(Probability of 1 girl) + 2*(Probability of 2 girls) + …   Number of girls = 0*(1:1*1/2) + 1*(1:1*1/2*1/2) + 2*(1:1*1/2*1/2*1/2) + …   Number of girls = 0 + 1:1/4 + 2*1:1/8 + 3*1:1/16 + …   Number of girls = 1:1   (using mathematical formulas; it becomes apparent if you just sum up the first 4-5 terms)   The proportion of boys to girls is 1 : 1.
Answer: C
The average of 9 observations was 5, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?  Choose one:
A) 45
B) 12
C) 15
D) 17
E) 18

Solution: Explanation:   1 to 9 = 9 * 5= 
9 * 5 = 45
45   1 to 5= 5 * 10= 
5 * 10 = 50
50   5 to 9= 5 * 8= 
5 * 8 = 40
40   5th= 50 + 40= 
50 + 40 = 90
90 – 45= 45   Option 45
Answer: A
Find the numbers which are in the ratio 3:2:1 such that the sum of the first and the second added to the difference of the third and the second is 16?  Options
A) 4,3,22	B) 4,4,22	C) 9,3,32	D) 9,6,12	E) 12,8,4

Solution: Let the numbers be a, b and c.   a:b:c = 3:2:1   Given, (a + b) + (c - b) = 16   => a + c = 16   => 3x + x = 16 => x =4   a, b, c are 3x, 2x, x   a, b, c are 12, 8, 4.   Answer:12,8,4
Answer: E
The least number of five digits which is exactly divisible by 12,15 and 18 is :  Answers:  A) 10010  B) 10015  C) 10020  D) 10080  E) None of these

Solution: Solution   Least number of 5 digits is 10000. L.C.M. of 12, 15 and 18 is 180.   On dividing 1000 by 180, the remainder is 100.   ∴ Required number = 10000 + (180 - 100)= 
10000 + (180 - 100) = 10_080
10080. Answer 10080
Answer: D
If a, b are integers and |a-b|=10, which of the following is the smallest possible value of ab?  Choose the correct choice from the following:  A) -16  B) 0  C) -25  D) 7  E) 40

Solution: a=5, b=-5. Hence, the answer is -25.
Answer: C
On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (7; 9),
what is the maximum possible area of C?	Choose the correct choice.
A) 6 B) 9 C) 24 D) 32 E) 64

Solution: I think that theintentof this question is that the circle will have NO CO-ORDINATES that fit the following 2 forms: (0, Y) or (X, 0). In real basic terms, this circle will NEITHER touch (nor cross) the X-axis NOR will it touch (nor cross) the Y-axis.   With a center at (3,8), the longest possible radius would ALMOST touch the X-axis, so the radius would be a little less than 3.   If the radius WAS 3 exactly, then the area would be 9pi, which is approximately 28.26   Since the circle CAN'T touch the X-axis, the area has to be LESS than approximately 28.26   As it's written, none of the answers is clearly the correct one.   64
Answer: E
The cost of hiring a bus is shared equally by all passengers. The bus has seats for 40 passengers and the total bill comes to Rs.70.37. How many seats went unoccupied?
Choose the correct answer
A) 13
B) 11
C) 9
D) 7
E) 5

Solution: As the bill of Rs 70.37 is equally divided, it is only possible when 31 passengers shared the bill.   70.37/31= 
70.37/31 = 2.27
2.27   Also   70.37 is not fully divisible by 27,29,33.   so 40-31= 
40-31 = 9
9 seats went unoccupied.   ANSWER:9
Answer: C
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 80 km apart both 3 and 6 hours after start, then find the distance between the two stations. Choose the correct choice from the following options:
A) 240 km B) 230 km C) 220km D) 180km E) 200km

Solution: In first 3 hours T1 travels R km and T2 travels S km.   240 kmfter 6 hours they traveled R+S+80+ 80   2(R+S ) = R+S +160   R+S = 160   Hence distance between XY is R+S+ 80 = 160 +80= 
160 +80 = 240
240   240 kmnswer : 240 km
Answer: A
Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 30% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?  Choose the correct choice: A) 47% B) 59% C) 71% D) 83% E) 95%

Solution: Let x be the number of new biographies added to the library.   Let b be the original number of biographies, so the original number of books was 5b.   0.3(5b+x) = b+x   0.5b = 0.7x   x = 0.71b   The answer is 71%.
Answer: C
2 dice are tossed. What is the probability that the total score is a prime no. is?  Choose the correct choice from the following
A) 1/13  B) 5/12  C) 3/11  D) 4/13  E) 5/13

Solution: 5/12   5/12
Answer: B
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Choose the correct choice from the following options.
A) 1/48  B) 1/42  C) 1/46  D) 1/47  E) 1/43

Solution: 2/3 * 6/7 * 1/3 * 1/8 = 1/42   Answer: 1/42
Answer: B
By the how much is two-fifth of 200 greater than three -fifths of 25?  Choose the correct choice from the following options
A) 15  B) 3  C) 5  D) 30  E) 65

Solution: Reqd no. = 2â„5 Ã— 200 - 3â„5 Ã— 25   = 80 - 15= 
80 - 15 = 65
65   Answer 65
Answer: E
What two-digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5? Pick one:
A) 94 B) 99 C) 26 D) 73 E) None of the Above

Solution: Let the digits be x and y. The number would be 10x + y.   We are given that 2xy + 5 = 10x +y = x^2 y^2 -10   Thus 2xy +5 = x^2 + y^2 - 10   x^2 + y^2 -2xy = 15   (x-y)^2 = 16   (x-y) = 4 or -4   Substituting the values of (x-y) in the equation 2xy +5 = 10x + y   x comes out to be 1 or 9... thus the two numbers can be 15 or 94   Thus the answer is 94
Answer: A
A can run 1.5 km distance in 2 min 20 seconds, while B can run this distance in 2 min 30 sec. By how much distance can A beat B?	Pick:  A) 90 m  B) 100 m  C) 120 m  D) 180 m  E) 190 m

Solution: A takes time 2.20 minutes=140sec   100 m takes time 2.30 minutes=150sec   diffrence= 150-140= 
150-140 = 10
10sec   now we are to find distance covered in 10 sec by 100 m   150sec=1500m   1sec=10m   10sec=10x10=100m   ANSWER:100 m
Answer: B
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 25 pages.
Choose the correct choice from the following answers
A) 8 B) 10 C) 12 D) 14 E) 16

Solution: subhas 's 1 hr copy page=50/10= 
50/10 = 5
5 page   (subhas+prakash)'s 1 hr copy page=300/40= 
300/40 = 15/2 = around 7.5
7.5 page   from above prakash's 1 hr copy page= 2.5 page   so time taken in 30 page's copy =(25/2.5)= 
(25/2.5) = 10
10 hrs   ANSWER:10
Answer: B
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 14 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?  Options
A) 30
B) 45
C) 60
D) 90
E) 105

Solution: Whole trip = distance by foot + distance by bus + distance by car   x = 1/5x + 2/3x + 14   x - 13/15x = 14   2/15x = 14 => so x = (15/2)*14= 
(15/2)*14 = 105
105Km   Answer 105
Answer: E
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second? Options:
A) 24%  B) 74%  C) 69%  D) 64%  E) 54%

Solution: r = 3 πr2 = 9   r = 5 πr2 = 25   25 π – 16 π   100 ---- ? => 64%   Answer: 64%
Answer: D
If b is a positive integer, then 3^b + 3^(b) =
Pick
A) 3^(b + 1)	B) 2^(b + 1)	C) 2(3^b)	D) 2b^(b + 1)	E) 3(2^b)

Solution: If b is a positive integer,3^b+3^b=2(3^b)   option 2(3^b) is answer
Answer: C
On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Q of races we need to conduct to get the top 3 fastest horses?
Pick one.
A) 5	B) 7	C) 8	D) 10	E) 11

Solution: Q=7 is the correct answer.   Good solution 7uneul.7
Answer: B
The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 33 what is the value of a1 ?  Options:
A) 1
B) 6
C) 13
D) 16
E) 21

Solution: Here, each value of an is the previous value plus 5   Since the numbers are less, the fastest way to solve this problem is to successively subtract 5 from a5 till you reach a1   a5 = 33   a4 = 29   a3 = 23   a2 = 18   a1 = 13 <<<< Ans 13
Answer: C
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person ?
Choose the correct option
A) 75 kg	B) 55 kg	C) 80 kg	D) 85 kg	E) 25 kg

Solution: Explanation:   Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (60 + 20)= 
(60 + 20) = 80
80 kg.   Answer: 80 kg
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 30 sec. What is the length of the train? Options:
A) 535 m
B) 178 m
C) 186 m
D) 168 m
E) 500 m

Solution: Speed = 60 * 5/18   = 50/3 m/sec   Length of the train   = speed * time   = 50/3 * 30= 
50/3 * 30 = 500
500 m   Answer:500 m
Answer: E
During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 135 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination? Options.
A) 280
B) 320
C) 360
D) 420
E) 480

Solution: Easy 360 is the answer.   3/4 ( x/2) = 135   x = 135 * 8 /3= 
135 * 8 /3 = 360
360.   Answer 360
Answer: C
A soccer team played 130 games and won 60 percent of them. How many games did it win?
Pick
A) 84	B) 94	C) 100	D) 125	E) 78

Solution: 60% of 130=x   0.60*130= 
0.60*130 = 78
x   78=x   answer :78
Answer: E
Among the employees of a certain company, 51 percent of the employees are male and 49 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?  Choose the correct choice from the following answers
A) 0.3	B) 0.6	C) 0.5	D) 0.4	E) 0.7

Solution: Much faster: draw 4 quadrants   ______________Male (51%)_____Female (49%)   Married :__________70%____________50%   Not Married:_______30%____________50%   Therefore: the probability of picking one random person Not Married (he or she) is: 0,51 x 0,30 + 0,50 x 0,50 = 0,15 + 0,25 (approx.)   Solution: approx. 0,4 (answer 0.4)
Answer: D
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+2x will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I. -12
II. -1
III. 2  Pick
A) I only B) II only C) I and II only D) II and III only E) I, II and III

Solution: Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set.   Now, if -4 is in the set, then -4-8=-12mustbe in the set. Could -1 or2 be in the set?sure no.   I onlynswer: I only.
Answer: A
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $70 to incur a loss 20%?
Choose the correct choice:
A) 45
B) 35
C) 40
D) 50
E) 48

Solution: Production cost per article: $60*(100%-20%) / 20 = $2.40   Required production costs for a loss of 20%: $70*(100% + 20%) = $84   Number of articles to be sold for $84 to incur a 20% loss: $84 / $2.40 = 35   Thus, solution 35 is correct.84 /  2.40= 
84 /  2.40 = 35
35   Thus, solution 35 is correct.
Answer: B