MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the odd man out. 1050, 510, 242, 103, 46, 16, 3
Select the correct option.
A) 103	B) 106	C) 510	D) 1050	E) None of these

Solution: Explanation :   1050   (1050 - 30)/2= 
(1050 - 30)/2 = 510
510   (510 - 26)/2= 
(510 - 26)/2 = 242
242   (242 - 22)/2= 
(242 - 22)/2 = 110
110   (110 - 18)/2= 
(110 - 18)/2 = 46
46   (46- 14)/2= 
(46- 14)/2 = 16
16   (16- 10)/2= 
(16- 10)/2 = 3
3   Hence, 110 should have come in place of 103. 103nswer : Option 103
Answer: A
In a class test, out of N students, if only 1/3 of passed in science and, of those who passed in science subject, 1/5 also passed in maths subject, how many students did not pass in both subjects ?  Choose the most appropriate option: A) N/15 B) 4N/15 C) 14N/15 D) N/5 E) 4N/5

Solution: 1/3 of tested passed in Science, thus N/3 had passed in science.   Of those who passed in science, 1/5 also had passed in maths, thus 1/5*N/3 = N/15 had passed in both subjects.   Therefore, N - N/15 = 14N/15 did not pass in both subjects.   Answer: 14N/15.
Answer: C
Distance between A and B is 54 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 3 mph. While the other man traveled with varying speeds as follows: In first hour his speed was 2 mph, in the second hour it was 2.25 mph, in the third hour it was 2.5 mph, and so on. How fast was B walking when the two men finally meet? Pick one:
A) 3 mph  B) 3.5 mph  C) 4 mph  D) 4.5 mph  E) 5 mph

Solution: Since the question is about speed, we know the answer will be in rate, which in this case is miles per hour.   In such questions, look for the symmetrical situation to find a rough estimate or range. For example, in many work-rate questions, it helps if you figure out the situation in which the rate of both people is the same.   Here the average speed of A (assuming guy who starts from A is A) is 3 mph and distance is 54 miles. So this means that A would take a total of   54/3= 
  54/3 = 18
18 hours to cover the distance from A to B. So, if B's speed were also 3, both A and B would travel for 9 hours to meet in the middle.   B has uniform speed per hour so its average will be the simple average of all speeds: 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5...   and since 3 is actually right in the middle of the 9 speeds, both A and B will end with same average speed, and will meet after 9 hours.   Once this is determined, see what the final speed of B (during the ninth hour) is. In this case, B's speed during the ninth hour was 4 mph, so the correct answer is (4 mph): 4 mph.
Answer: C
If m and n are two positive integers and m/n = 1.40, then n can equal which one of the following?
Choose the correct choice from the following: A) 21 B) 18 C) 23 D) 22 E) 27

Solution: m/n = 1.40 = 140/100 = 7/5   So, n has to be a multiple of 7, so it COULD be 21   21nswer: 21
Answer: A
Last year a certain bond price with a face value of 5000 yielded 8% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?	Choices
A) 4063  B) 5325  C) 5351  D) 6000  E) 6154

Solution: Interest = 0.08*5000 = 0.065*selling price --> selling price = 0.08*5000/0.065 --> selling price = ~6,154   Answer: 6154.
Answer: E
A family pays $700 per year for an insurance plan that pays 60 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much? Pick:  A) $1,000  B) $1,200  C) $1,500  D) $1,800  E) $2,200

Solution: Assuming the medical expenses are $1000 or more, the family pays $700 + $400 = $1100.   The total amount paid by insurance plan for the first $1000 of expenses is $600.   The insurance will pay another $500 when the medical expenses are $1500.   The answer is $1,500.700 +  400= 
700 +  400 = 1_100
$1100.   The total amount paid by insurance plan for the first $1000 of expenses is $600.   The insurance will pay another $500 when the medical expenses are $1500.   The answer is $1,500.
Answer: C
A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1.He can loose only 5 times. He is out of the game if he earns Rs 5.Find the number of ways in which this is possible?
Choose the correct option
A) 16  B) 15  C) 32  D) 81  E) 31

Solution: He has 2Rs.He wins or loses Re 1 at a time.   for 1Rs.He may have different probabilities as (WW,WL,LW,LL)i.e,for one rupee he has 8chances in the same way for another one rupee he has another 8 chances .   So,total number of chances/ways are 16.   16NSWER:16
Answer: A
32.32/2000 is equal to:  Choose one:
A) 1.012526
B) 0.012625
C) 0.12526
D) 0.01616
E) 0.12725

Solution: 25.25/2000 = 2525/200000   = 0.01616   ANSWER:0.01616
Answer: D
A train 160 m long passed a pole in 40 sec. How long will it take to pass a platform 320 m long?
Choose the correct choice
A) 12  B) 14  C) 16  D) 18  E) 20

Solution: Speed = 160/40 = 40 m/sec.   Required time = (160 + 320)/40= 
(160 + 320)/40 = 12
12 sec.   12nswer:12
Answer: A
Ms. Lovely deposits $ 300 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choose the correct choice.
A) $118.00
B) $120.00
C) $121.00
D) $122.00
E) $140.00

Solution: Using Formula - A = P(1+r/n)^nt   Given   P=300   n=2   t=1   r=0.2   Substituting value in formula   A = 300(1+0.2/2)^2   A= 363.00$=$121.00
Answer: C
In the rectangular coordinate system, points (16, 0) and (– 16, 0) both lie on circle C. What is the maximum possible value of the radius of C ?  Choose the correct choice from the following:
A) 2  B) 4  C) 8  D) 16  E) None of the above

Solution: D   It takes 3 distinct points to define a circle. Only 2 are given here.   The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 16 16
Answer: D
What is the perimeter, in meters, of a rectangular garden 12 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?	Choose the correct choice from the following.
A) 48  B) 56  C) 60  D) 56  E) 192

Solution: Say Length of garden is L meters.   Then (L*12) = 16 * 12 [Given area is same. Area= L * B]   Therefore L works out to 16 meters.   Perimeter of Garden = 2* (16+12)= 
2* (16+12) = 56
56 meter.   Answer is 56
Answer: D
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
Choose the most appropriate option:
A) 1/15	B) 1/17	C) 1/20	D) 1/21	E) 3/25

Solution: Option 'C'   (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)   5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20
Answer: C
The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?  Choices
A) 10, 3  B) -10, 3  C) 20, -3  D) -10, -3  E) None of these

Solution: Explanation:   Sum of the roots and the product of the roots are -20 and 3 respectively.   ANSWNone of theseR IS None of these
Answer: E
Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Choose the correct option: A) 30 km/h B) 45 km/h C) 60 km/h D) 75 km/h E) 90 km/h

Solution: Distance between 45 km/hob's house and Jamie's restaurant: 30 x 3 = 90 km   Rate of speed to get to 45 km/hob's house in an hour: 90 x 1 = 90 km/h   Rate of speed to get to 45 km/hob's house in half an hour:   90/2= 
  90/2 = 45
45 km/h
Answer: B
For an upcoming charity event, a male vocalist has agreed to sing 3 out of 5 “old songs” and 1 out of 4 “new songs.” How many ways can the singer make his selection?  Choices:
A) 240 B) 50 C) 150 D) 480 E) 600

Solution: =5C3*4C1   =5*4/1*4*3/1   =5*4*4*3= 
5*4*4*3 = 240
240   240ns= 240
Answer: A
e.	Janet has to pay back her bank loan over 7 months following the below sequence.
$50, $55, $65, $80, $85, $95, ?
How much will she pay back on the seventh month?  Answers.
A) $155	B) $145	C) $135	D) $125	E) $110

Solution: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 7th Month is $110   Ans $110
Answer: E
In expressing a length 81.472 km as nearly as possible with three significant digits, find the percentage error?  Choose the correct choice from the following answers:
A) 0.075%
B) 0.156%
C) 0.034%
D) 0.048%
E) 0.152%

Solution: Error = 81.5-81.472= 
81.5-81.472 = 0.028
0.028   Required percentage= (0.028/81.472)*100 = 0.034%   Answer is 0.034%
Answer: C
A candidate got 35% of the votes polled and he lost to his rival by 2370 votes. How many votes were cast?	Options
A) 7500	B) 7900	C) 2665	D) 2888	E) 2661

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2370   100%---------? => 7900   Answer: 7900
Answer: B
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 112 kmph. Find the speed of the boat in still water and the speed of the stream?	Choose one:
A) 70, 10 kmph  B) 106, 6 kmph  C) 50, 60 kmph  D) 45, 55 kmph  E) 45, 65 kmph

Solution: Speed of the boat in still water = (100+112)/2= 
(100+112)/2 = 106
106 kmph. Speed of the stream= (100-112)/2 = 6 kmph   ANSWER:106, 6 kmph
Answer: B
Find the average of first 30 natural numbers. Choose the correct choice:	A) A)13.5	B) B)20.5	C) C)18.6	D) D)15.5	E) E)12.3

Solution: Sum of first n natural numbers = n(n+1)/2   sum of first 30 natural numbers = 30*31/2= 
30*31/2 = 465
465   average= 465/30= 
465/30 = 31/2 = around 15.5
15.5   Answer is 15.5
Answer: D
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Pick one:	A) 200	B) 300	C) 350	D) 400	E) 450

Solution: Speed = 300/18 = 50/3   length of the platform x meters   (x+300)/39 = 50/3   3x+900 = 1950 ==> x = 350 m   ANSWER 350
Answer: C
A charitable woman gave one penny more than half pennies in her purse to a farmer .Afterwards she came across a beggar whom she gave 2 pennies more than half of what she had in her purse. In the end she gave 3 pennies more than half of what she had in her purse and left with a penny with her to a boy. Find what she had in the beginning?  Choose the correct choice from the following choices
A) 41  B) 42  C) 43  D) 44  E) 45

Solution: she gave 1 penny more than the half in the purse i.e (x/2 +1)   now she is left with:: (x-(x/2+1))=(x-2)/2   now to the beggar::   she gave 2 pennies more than the half in the purse i.e(x-2)/4 +2   and she is left with :: ((x-2)/2)-((x-2)/4 +2)= (x-10)/4   now at last   sh gave 3 pennies more then the half she was left with i.e ((x-10)/8+ 3)=A   so she is left with   (x-10)/4-A=(x-34)/8   now acc. to quest   (x-34)/8=1   hence x=42   ANSWER:42
Answer: B
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes V, each draining water at the same constant rate, will be needed to drain the pool in 4 days?  Choose the correct choice from the following answers:
A) 6
B) 9
C) 10
D) 12
E) 15

Solution: This is an inverse proportional problem......   5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15   So, V=15-5 = 10.10
Answer: C
If an object travels at five feet per second, how many feet does it travel in one hour? Pick: A) 3488 B) 3778 C) 12788 D) 1800 E) 2881

Solution: Explanation:   If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour.   Answer = 1800   Answer: 1800) 1800
Answer: D
A vendor sold two things at same cost of 17 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
Choose the most appropriate option
A) 0.60 loss B) 0.75 loss C) 0.80 loss D) 0.85 loss E) 0.40 loss

Solution: CP when profit of 25% = 13.60   CP when loss of 20% = 21.25   Total CP = 34.85   Total SP = 34.00   Total loss = 0.85   ANSWER:0.85 loss
Answer: D
Which of the following is equal to 3^k*7^(k-1)?
Answers:	A) 3*21^(k-1)	B) 7*21^(k-1)	C) 21^k	D) 3*21^k )	E) 21^(2k-1)

Solution: 3^k*7^(k-1) = 3*3^(k-1)*7^(k-1) = 3*21^(k-1)   The answer is 3*21^(k-1).
Answer: A
Set A consists of the integers from 3 to 12, inclusive, while set B consists of the integers from 6 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?
Choose the correct choice from the following answers.
A) 5
B) 7
C) 8
D) 9
E) 10

Solution: A={3,4,5,6,7,8,9,10,11,12}   B={6,7,8,9,10,11,12...}   Thus we see that there are 7 distinct integers that are common to both. 7 is the correct answer.
Answer: B
In Sivakasi, each boy’s quota of match sticks to fill into boxes is not more than 200 per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxes with the total number of sticks assigned to him. Which of the following is the possible number of sticks assigned to each boy ?	Choose one.
A) 200	B) 150	C) 100	D) 175	E) None

Solution: Explanation :   Let no. of matchstick assigned to boy=n;   no. of matchsticks he put in each box=x;   And, the no. of boxes=y;   Initially we have;   => n / x = y. -----------------------(i)   After he reduces no. of matchsticks in each box by 25, we have :-   => n / x - 25 = y + 3. -----------------------(ii)   On solving eq (i) and (ii), we have;   => n= 3* x * ( x - 25 ) / 25;   i.e. no. of stick must be a multiple of 25;   Let x=50, we have;   =>3 * 50 * (50-25) /25.   => 3 * 50= 
3 * 50 = 150
150.   Hence, the required number of sticks is 150.   Answer : 150
Answer: B
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 880 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second? Pick:	A) 880 * sqrt 2	B) 880 * sqrt (2^7)	C) 880 * sqrt (2^12)	D) 880 * the twelfth root of (2^7)	E) 880 * the seventh root of (2^12)

Solution: Let the constant be k.   F1 = 880   F2 = 880k   F3 = 880 k * k = 880 * k^2   F13= 880 * k^12   we know F13 = 2 *F1 = 2 * 880 2 * 1= 
2 * 1 = 2
2 * 880= 
2 * 880 = 1_760
1760   1760/880= k^12   k = twelfth root of 2   for F7...   F7 = 880 * k^6 ( as we wrote for F2 and F3)   F7 = 880 * (twelfth root of 2) ^ 6   F7 = 880 * sqrt (2)   The answer is 880 * sqrt 2.
Answer: A
The product of a and b is equal to 1 more than twice the sum of a and b. If b = 7, what is the value of b - a?
Pick:  A) 2  B) 5  C) 4  D) 24  E) 35

Solution: ab= 1 + 2(a+b)   7a= 1+2a +14   5a= 15   a=3   b-a= 7-3= 
7-3 = 4
4   4 is the answer
Answer: C
From a seven-member dance group, four will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?
Choose the correct choice from the following answers:
A) 1/21
B) 1/7
C) 4/21
D) 2/7
E) 3/7

Solution: Total number of ways to choose 4 out of 7 = 7C4 = 35.   Number of ways to choose 2 (any but Kori and Jason) out of 5 (excluding Kori and Jason) = 5C2 = 10.   P = favorable/total = 10/35 = 2/7.   Answer: 2/7.
Answer: D
If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially? Answers:
A) 600	B) 490	C) 720	D) 435	E) 679

Solution: Let x be the number of days in the initial plan. Therefore, the whole field is 120⋅x hectares. The farmer had to work for x+2 days, and he ploughed 85(x+2) hectares, leaving 40 hectares unploughed. Then we have the equation:   120x=85(x+2)+40   35x=210   x=6   So the farmer planned to have the work done in 6 days, and the area of the farm field is 120⋅6=720 hectareS   correct answer 720
Answer: C
60 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. How many people like apple? Pick:
A) 47  B) 46  C) 54  D) 58  E) 67

Solution: orange+mango-apple=7   mango+apple-orange=10   apple=60   orange+mango+apple=4   60+10+4-7= 
60+10+4-7 = 67
67 like apple   ANSW67R:67
Answer: E
Narendra started a business, investing 45000. Six months later, Chandan joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra? Options.
A) A)Rs.7000 B) B)Rs.8000 C) C)Rs.8571 D) D)Rs.8600 E) E)Rs.8700

Solution: The ratio of their investments = 45000 × 12 : 15000 × 6 = 6 : 1.   :. Narendra’s share on profit of Rs.10000 = 10000 × 6/7 = Rs.8571.   Rs.8571)
Answer: C
Calculate the simple interest on Rs 12 000 at 15% per annum for the period from 10th January 2017 to 15th March 2014.	Choose the correct choice from the following answers.
A) Rs. 315.6  B) Rs. 325.6  C) Rs. 215.6  D) Rs. 112.6  E) Rs. 425.6

Solution: Explanation:   One thing which is tricky in this question is to calculate the number of days.   Always remember that the day on which money is deposited is not counted while the day on which   money is withdrawn is counted.   So lets calculate the number of days now,   Time = (21+28+15)= 
(21+28+15) = 64
64/365 years   P= 12000   R = 15%   S.I. = =12000Ã—15Ã—64/(365*100)=315.6   Rs. 315.6nswer: Rs. 315.6
Answer: A
The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples? Choose the correct answer: A) 2 B) 8 C) 7 D) 6 E) 4

Solution: (Apples + Oranges) - (Oranges + Peaches) = 7   Apples - Peaches = 7   Answer: 7
Answer: C
The rate of Interest on a sum of money is 11% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is Choose the correct answer.
A) 1,000  B) 2,000  C) 2,100  D) 2,250  E) 2,540

Solution: Explanation:   I1 = (P x 3 x 11)/100 = P/3   I2 = (P x 4 x 4)/100 = 4P/25   I3 = (P x 1 x 5)/100 = P/20   P/3 + 4P/25 + P/20 = 540   27P/50 = 540   P = 1000   1,000nswer: Option 1,000
Answer: A
A worker can load one truck in 5 hours. A second worker can load the same truck in 8 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?  Select the correct option:
A) 2.5
B) 2.7
C) 2.9
D) 3.1
E) 3.3

Solution: The workers fill the truck at a rate of 1/5 + 1/8 = 13/40 of the truck per hour.   Then the time to fill one truck is 40/13 which is about 3.1 hours.   The answer is 3.1.
Answer: D
If (x^2 + 1)y=5, which of the following is not a possible value for y?	Choose the correct choice from the following answers
A) 1/2  B) 2  C) 4/3  D) 3  E) 13/2

Solution: Its simple   equation is (x^2 +1)y = 5 ===> x^2 = (5/y) - 1 . As , in LHS, it is x^2 the value has to be positive or zero in RHS.   Hence, (5/y) - 1>= 0 ===> y =< 5. Now only option E has greater value of 'y' than 5.   Thus, correct ans is 13/2
Answer: E
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choose the correct option.
A) 49 Years  B) 51 Years  C) 53 Years  D) 54 Years  E) 55 Years

Solution: Total age of students is 32X16 = 512 Years   Total age inclusive of teacher = 33X (16+1) = 561   So, Teacher's age is 561-512= 
561-512 = 49
49 Yrs   There is a shortcut for these type of problems   Teacher's age is 16+(33X1)= 49 Years   49 Years
Answer: A
A bag is bought for Rs.400 and sold at a gain of 25% find its selling price Pick:  A) A)Rs.460/-  B) B)Rs.470/-  C) C)Rs.480/-  D) D)Rs.500/-  E) E)Rs.520/-

Solution: 100 % ------> 400 (100 * 4 = 400)   125 % ------> 500 (125 * 4 = 500)   Selling price = Rs.500/   Answer : Rs.500/-
Answer: D
If a 3-number code is formed of the integers from 1 to 18 inclusively, and each of the numbers in the code is different, how many possible codes are there?  Choose the correct choice:
A) 4896
B) 4986
C) 5076
D) 5166
E) 5256

Solution: 18*17*16= 
18*17*16 = 4_896
4896   The answer is 4896.
Answer: A
The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount? Options.
A) Rs. 432	B) Rs. 422	C) Rs. 412	D) Rs. 442	E) None of these

Solution: Explanation :   F = Rs. 2160   TD = Rs. 360   PW = F - TD = 2160 - 360 = Rs. 1800   True Discount is the Simple Interest on the present value for unexpired time   =>Simple Interest on Rs. 1800 for unexpired time = Rs. 360   Banker's Discount is the Simple Interest on the face value of the bill for unexpired time   = Simple Interest on Rs. 2160 for unexpired time   =360/1800 × 2160 = 15 × 2160 = Rs. 432 Rs. 432nswer : Option Rs. 432
Answer: A
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 20% while selling. What is his percentage profit?
Choose the most appropriate option:
A) 10.22%
B) 20.22%
C) 21.22%
D) 10%
E) Can't be calculated

Solution: The owner buys 100kg but actually gets 110kg;   The owner sells 100kg but actually gives 80kg;   Profit: (110-80)/80*100=10%   Answer: 10%.
Answer: D
The area of a base of a cone is 30 cm2. If the height of the cone is 6cm, find its volume?  Answers:
A) 87  B) 16  C) 17  D) 60  E) 18

Solution: πr2 = 30 h = 6   1/3 * 30 * 6= 
1/3 * 30 * 6 = 60
60   Answer: 60
Answer: D
Linda spent 4/5 of her savings on furniture and the rest on a TV. If the TV cost her $100, what were her original savings?  Choose the correct choice from the following choices
A) $900
B) $300
C) $500
D) $700
E) $800

Solution: If Linda spent 4/5 of her savings on furniture, the rest   5 / 5 - 4 / 5 = 1 / 5 on a TV   But the TV cost her $100. So 1 / 5 of her savings is $100. So her original savings are 5 times $100 = $500   correct answer $500
Answer: C
Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 11 on the two dice?	Choose the correct choice from the following options
A) 7/9
B) 5/9
C) 11/18
D) 19/36
E) 23/36

Solution: There are 36 possible outcomes for two dice.   The number of outcomes with an even number on the first die is 3*6= 
3*6 = 18
18.   The number of outcomes with a sum of 11 is 2.   We need to subtract the outcomes that have both an even number on the first die and a sum of 11 because we have counted those outcomes twice. This number of outcomes is 1.   The number of outcomes with either an even number on the first die or a sum of 11 is  18+2-1= 
 18+2-1 = 19
19.   The probability is 19/36.   The answer is 19/36.
Answer: D
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 54 minutes. The total distance is? Choose the correct choice.
A) 1 km  B) 2 km  C) 3 km  D) 3.4 km  E) 5 km

Solution: D   3 km   Let the total distance be 3x km.   Then, x/3 + x/4 + x/5 = 54/60   47x/60 = 54/60 => x = 1.14   Total distance = 3 * 1.14 = 3.4 km.
Answer: D
Tough and Tricky questions: Word Problems.
It takes Sarah 25 minutes to do one oil change, and it takes Alice 20 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously? Choices:
A) 10:00 a.m. B) 10:12 a.m. C) 10:40 a.m. D) 1:00 p.m. E) 2:00 p.m.

Solution: L10:40 a.m.M of 2025   20 = 2 * 2 * 5   25 = 5 * 5   L10:40 a.m.M = 2 * 2 * 5 * 5= 20 = 100 =1 hour 40 minutes   1040AM   10:40 a.m.
Answer: C