MU-NLPC/Calc-aqua_rat huggingface dataset:
A can run 4 times as fast as B and gives B a start of 75 m. How long should the race course be so that A and B might reach in the same time?  Choose the correct option
A) 70 m
B) 60 m
C) 100 m
D) 65 m
E) 75 m

Solution: Speed of A:Speed of B=4:1   means in a race of 4m A gains 3m.   then in a race of 75m he gains 75*(4/3)   I.e 100m   ANSWER:100 m
Answer: C
A's speed is 15/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 40% of the length of the race?  Select the correct option:
A) 44%  B) 48%  C) 52%  D) 42%  E) 46%

Solution: First calculate the distance, B has covered with his speed in the time, in which A reached 60% of the race.   Then Add the remaining distance as head start for B to win the race.   Its best to apply Ratios concept here.   Since A's speed is 15/13 of B, therefore, B's speed is 13/15 of A   Distance covered by B = speed x time = (13/15) x (0.6) = 0.52%   (Which means B would have covered 0.52 of the race length during the time in which A has covered 0.6 of the race length.   Therefore to win, B needs a headstart of (1 - 0.52 = ) 0.48 of the race length.   So the answer is 48%
Answer: B
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices.
A) 237	B) 480	C) 882	D) 271	E) 211

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.160   SP = CP - Loss = 640 - 160 = Rs.480   Answer:480
Answer: B
A, B and C can do a piece of work in 7 days, 21 days and 28 days respectively. How long will they taken, if all the three work together?  Answers:
A) 2  B) 4 8/19  C) 5  D) 67  E) 9

Solution: 1/7 + 1/21 + 1/28 = 19/84 => 84/19 => 4 8/19 days   Answer: 4 8/19
Answer: B
A man can row his boat with the stream at 24 km/h and against the stream in 10 km/h. The man's rate is?	Choose the correct choice.
A) 1 kmph B) 6 kmph C) 7 kmph D) 4 kmph E) 9 kmph

Solution: Explanation:   DS = 24   US = 10   S = ?   S = (24-10)/2= 
(24-10)/2 = 7
7 kmph   Answer: 7 kmph
Answer: C
The cost of 9 kgs. of sugar is Rs.279. What is the cost of .153 kgs. of sugar?
Pick:
A) Rs.3.377
B) Rs.4.473
C) Rs.4.377
D) Rs.4.743
E) None of these

Solution: Explanation:   The cost of .153 kgs. of sugar = 279x .153/9 = Rs.4.743   Answer: Option Rs.4.743
Answer: D
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be :
Pick one:
A) √2 m
B) 2 m
C) 1⁄2 m
D) 1⁄√2 m
E) None of these

Solution: Let inner radius of the pipe be r.   Then, 440 = 22⁄7 × r2 × 7 × 10   or r2=440/22×10=2   or r = √2 m   √2 mnswer √2 m
Answer: A
If x/4 – (x – 3)/5 = 1, then find the value of x. Options: A) 3 B) 6 C) 8 D) 11 E) 12

Solution: Explanation:   x/4 – (x - 3)/5 = 1   (5x – 4(x – 3))/20 = 1   5x - 4x + 12 = 20   x = 8   ANSWER: 8
Answer: C
In the first M games of a team's season, the ratio of the team's wins to its losses was 1:3. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?  Choose the correct choice from the following choices: A) 7:18 B) 3:7 C) 1:2 D) 2:5 E) 4:9

Solution: M = 4/9 of total games   N = 5/9 of total games   Wins = 1/4*4/9 + 2/5*5/9 = 1/9 + 2/9 = 1/3   Losses = 1 - 1/3 = 2/3   The ratio of wins to losses is 1:2.   The answer is 1:2.
Answer: C
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?	Choose one:
A) Rs.6867
B) Rs.6818
C) Rs.6810
D) Rs.6800
E) Rs.6192

Solution: Cost of the camel = P   10 camels = 24 horses   16 horses = 4 oxen   6 oxen = 4 elephants   10 elephants = Rs.170000   P = Rs.[(24 * 4 * 4 * 170000)/(10 * 16 * 6 * 10)]   P = Rs.(65280000/9600) => P = Rs.6800   Answer: Rs.6800
Answer: D
P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 8), the remainder is also D. If P/Q = 1020.75 and P/(Q + 8) = 816.6, then which of the following gives the correct set of {D, Q}? Choose the correct choice from the following answers.
A) {6, 12}	B) {6, 15}	C) {9, 12}	D) {9, 15}	E) {24, 32}

Solution: p/q= d=p/q+8   d= .75 q   d= .6(q+8)   we get d = 24 and q = 32. Answer = {24, 32}.
Answer: E
A 12% item produces 20%. The market value of the item is:
Choose the correct choice.
A) Rs. 55  B) Rs. 60  C) Rs. 40  D) Rs. 65  E) Rs. 70

Solution: Let the face value of the item is Rs.100   It produces Rs.12   Market value of the stock=(12/20)*100=Rs.60   ANSWER:Rs. 60
Answer: B
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?  Choose the correct choice from the following options.
A) 5.79	B) 5.73	C) 5.76	D) 5.75	E) 5.71

Solution: M = 6   S = 1.2   DS = 7.2   US = 4.8   x/7.2 + x/4.8 = 1   x = 2.88   D = 2.88 * 2= 
2.88 * 2 = 5.76
5.76   \Answer:5.76
Answer: C
The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is? Choose the correct choice from the following options
A) 338  B) 323  C) 342  D) 882  E) 212

Solution: 400*(85/100)*(95/100)= 
400*(85/100)*(95/100) = 323
323   Answer: 323
Answer: B
If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2? Options:
A) a)98 B) b)101 C) c)102 D) d)204 E) e)202

Solution: a, b and c are even integers which means that, supposing that x, y and z are integers, then a=2x, b=2y and c=2z   Therefore we have: a^2+b^2+c^2=2^2*x^2+2^2*y+2^2*z=4x^2+4y^2+4z^2=4(x^2+y^2+z^2).   Which means that the total a^2+b^2+c^2 must be divisible by 4.   The only choice which is divisible by 4 is: d)204)   204=10^2+10^2+2^2   Answer: d)204.
Answer: D
A train traveling at 36 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters? Pick one.
A) 120 meters
B) 360 meters
C) 420 meters
D) 600 meters
E) Cannot be determined

Solution: Answer   Distance covered by the train when crossing a man and when crossing a platform   When a train crosses a man standing on a platform, the distance covered by the train is equal to the length of the train.   However, when the same train crosses a platform, the distance covered by the train is equal to the length of the train plus the length of the platform.   The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover. i.e., length of the platform.   Compute length of platform   Length of the platform = speed of train * extra time taken to cross the platform.   Length of platform = 36 kmph * 12 seconds   Convert 36 kmph into m/sec   1 kmph = 5/18 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).   ∴ 36 kmph = 5/18∗36 = 10 m/sec   Therefore, length of the platform = 10 m/s * 12 sec = 120 meters.   Choice 120 meters
Answer: A
The probability that a number selected at random from the first 50 natural numbers is a composite number is Choose the correct choice from the following choices:
A) 17/28	B) 17/25	C) 17/26	D) 17/22	E) 17/21

Solution: :The number of exhaustive events = ⁵⁰C₁ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability = 34/50 = 17/25.   Answer:17/25
Answer: B
Two trains of equal are running on parallel lines in the same direction at 48km/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) 60
D) 55
E) 22

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 48 - 36= 
48 - 36 = 12
12 km/hr.= 12 * 5/18 = 10/3 m/sec.   2x/36 = 10/3 => x = 60.   Answer:60
Answer: C
If p/q = 3/11 , then 2p+q= ?	Choices
A) 12 B) 14 C) 17 D) 15 E) 16

Solution: let p=3, q=11 then 2*3+11= 
2*3+11 = 17
17   so 2p+q=17.   ANSWER:17
Answer: C
Two trains 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Choose the correct option:
A) 10.9 sec  B) 13.8 sec  C) 53.8 sec  D) 10.8 sec  E) 11.52 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 180= 
140 + 180 = 320
320 m.   Required time= 320 * 9/250= 
320 * 9/250 = 288/25 = around 11.52
11.52 sec.   Answer: 11.52 sec:
Answer: E
If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does √n have?
Pick.
A) 6 B) 5 C) 2 D) 3 E) 4

Solution: take the example of 16...   it has 3 positive divisors (1,2,4,8,16)   Now, take the example of 4...   it has only 3 divisors..   so 3 is the ans
Answer: D
Find the value of x from the below equation? : x^2+5x+25 = 0	Choose the correct choice from the following options:  A) No answer  B) 25  C) 1  D) 0  E) -2

Solution: a = 1, b = 5, c = 25   x1,2 = (-5 Â± âˆš(5^2 - 4Ã—1Ã—25)) / (2Ã—1) = (-5 Â± âˆš(25-100)) / 2 = (-5 Â± âˆš -75) / 2   No real roots   No answer
Answer: A
A person purchased a TV set for Rs. 25000 and a DVD player for Rs. 8000. He sold both the items together for Rs. 42900. What percentage of profit did he make?  Pick one:  A) 48%  B) 70%  C) 40%  D) 45%  E) 30%

Solution: The total CP = Rs. 256000 + Rs. 8000   = Rs. 33000 and SP   = Rs. 42900   Profit(%)   = (42900 - 33000)/33000 * 100= 
(42900 - 33000)/33000 * 100 = 30
30%   Answer: 30%
Answer: E
In how many different number of ways 4 men and 1 women can sit on a shopa which can accommodate persons?  Choose the correct choice from the following answers
A) A)160 B) B)17 C) C)19 D) D)21 E) E)20

Solution: 5p3 =5 x4= 20   Option '20'
Answer: E
P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this he is to turn right at 1350 and to cover 30 m. In which direction should he go?
Choose the correct choice from the following answers:
A) West  B) South  C) South-west  D) South-East  E) east

Solution: south east   ANSWER:South-East
Answer: D
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 47. What is a possible value for the mean of the distribution?	Choose the correct choice:
A) 46
B) 54
C) 48
D) 49
E) 50

Solution: The standard deviation ({SD}) = 2;   3 standard deviations below the mean is greater than 47:   {Mean} - 3*{SD} > 47;   {Mean} - 6 > 47;   {Mean} > 53.   Answer: 54.
Answer: B
Employees of a certain company are each to receive a unique 6-digit identification code consisting of the digits 0, 1, 2, 3, 4, and 5 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
Choose the correct choice from the following choices: A) 48 B) 56 C) 64 D) 72 E) 80

Solution: There are 4! ways to make codes starting with 12.   There are 4! ways to make codes starting with 24.   The number of codes is 2*4! = 48.   The answer is 48.
Answer: A
An artist who needs to buy only paint and canvas finds that the cost of canvas has decreased by 40 percent and the cost of paint has decreased by 60 percent. If paint previously accounted for 4 times as much of the expense of painting as did canvas, by what percent did the total cost for paint and canvas decrease?
Select the correct option.
A) 40%	B) 44%	C) 50%	D) 56%	E) 60%

Solution: Paint:Canvas cost is 4:1.   So, paint accounts for 80% of cost and canvas accounts for 20%.   Canvas, after decrease by 40% will be (100-40)% of 20% => 60% of 20% => 12% of original   Paint, after decrease by 60% will be (100-60)% of 80% => 40% of 80% => 32% of original   New cost as a % of old cost = 32+12= 
32+12 = 44
44% of original.   So, overall cost saving= 100-44= 
100-44 = 56
56%   Therefore, (56%)
Answer: D
Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 21,the first number is : Choose the correct choice
A) 22
B) 21
C) 77
D) 99
E) 24

Solution: 24xplanation:   Let the numbers be a,b,c,d   Given, a + b + c = 48, b + c + d = 45   Now, d = 21   thus, b + c + 21 = 45 ⇒ b + c = 24   Putting the value of b + c in a + b + c = 48   a + 24 = 48 ⇒ a = 24   Answer: 24
Answer: E
The average earning of amechanic for the first 4days of a week is Rs.11 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is? Choose the correct choice from the following answers:
A) s. 14	B) s. 20	C) s. 30	D) s. 16	E) s. 21

Solution: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x 11 + 4 x 22 -20   = Rs. 112   âˆ´ Average earning = 112/ 7   = Rs. 16   s. 16
Answer: D
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 6 attempts? Choose the correct option.
A) 3/4 B) 7/8 C) 15/16 D) 31/32 E) 63/64

Solution: P(missing all 6)=(1/2)^6=1/64   P(success on at least one attempt)=1-1/64=63/64   The answer is 63/64.
Answer: E
A 415 m long train is running at 63 km/hr. In how much time will it cross a tunnel 285 m long? Choose the most appropriate option:  A) 25  B) 35  C) 45  D) 60  E) 40

Solution: Speed of the train= ( 63 * 5 / 18) m/sec = 35/2 m/sec. Distance travelled = (Speed x Time)   Time = (Distance travelled / Speed)   Distance travelled = Length of the train + Length of the Tunnel   =415+285= 
415+285 = 700
700m   Time= (700 / 35/2)= 40 sec   Answer: 40
Answer: E
When a certain number X is divided by 72, the remainder is 19. What is the remainder when X is divided by 8? Choose the correct choice from the following answers:
A) 3	B) 2	C) 4	D) 1	E) 5

Solution: Let possible value of x is 91   least possible value of x/8 is 91/8 => 11 quotient with remainder 3   Thus answer is (3) 3
Answer: A
In how many ways a President, VP and Water-boy can be selected from a group of 10 people.	Select: A) 10C3 B) 10P3 C) 240 D) 360 E) None

Solution: Solution:   We are selecting three different posts here, so order matters.   Thus, total ways of selecting a President, VP and Water-boy from a group of 10 people would be 10P3.   Answer: Option 10P3
Answer: B
Difference between the length &breadth of a rectangle is 2 m. If its perimeter is 76 m, then its area is??  Choose the correct choice from the following.
A) 2000 m^2
B) 2340 m^2
C) 2520 m^2
D) 2556 m^2
E) 360 m^2

Solution: We have: (l - b) = 2 and 2(l + b) = 76 or (l + b) = 38   so 2 l = 40 = > l = 20 & b = 18   Area = 20 * 18= 
20 * 18 = 360
360 m^2   Answer : 360 m^2
Answer: E
A certain galaxy is known to comprise approximately 5 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?	Choose the correct choice from the following answers
A) 800 B) 1,250 C) 8,000 D) 12,000 E) 10,000

Solution: Total no. of stars on galaxy = 5 * 10^11   Of every 50 million stars, 1 is larger than sun.   1 million = 10^6 therofore, 50 million = 50 * 10^6   total no. of stars larger than sun = 5 * 10^11 / 50 * 10^6   =50 * 10^3 /5   = 10000   therefore answer is 10,000
Answer: E
A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ?	Choose the correct choice:
A) 70 m  B) 80 km  C) 20 km  D) 10 km  E) 73 km

Solution: Explanation:   Average speed = , here a=25 b=4   = 2x25x4/(25+4) = 200/29 km/hr.   Distance covered in 5 hours 48 minutes   = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms.   Distance of the post office from the village = (40/2)= 
(40/2) = 20
20 km.   Answer: 20 km
Answer: C
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
Choose the correct choice.
A) 18  B) 56  C) 12  D) 17  E) 14

Solution: Initial average age of the 10 persons be P.   Age of the new person Q.   Sum of the ages of the initial 10 persons = 10P   New average   = (P-3) 10(P-3)   = 10P - 42 + Q   => Q = 12   Answer:12
Answer: C
Find the ones digit of 73^352	Pick one:
A) 1
B) 5
C) 6
D) 7
E) 9

Solution: The units digit of 73^352 will be the same as the units digit of 3^352.   3^1=3 --> the units digit is 3;   3^2=9 --> the units digit is 9;   3^3=27 --> the units digit is 7;   3^4=81 --> the units digit is 1;   3^5=243 --> the units digit is 3 AGAIN;   ...   So, as you can see the units digit repeats in blocks of 4: {3, 9, 7, 1}, {3, 9, 7, 1}, ... Now, since 352=(multiple of 4)+0, since 3 is an odd number, the units digit of 3^352 will be 1.   1nswer: 1.
Answer: A
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English and Hindi	Select the correct option
A) 2/5  B) 1/5  C) 3/5  D) 6/5  E) 7/5

Solution: P(E)=30/100,   P(H)=20/100   P(E and H)=10/100   P(E or H)=3/10+2/10-1/10   =2/5   2/5NSWER 2/5
Answer: A
A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 40 square feet of the wall, and no tiles overlap, what is the area of the entire wall?  Choose the correct option:
A) 160	B) 220	C) 360	D) 440	E) 560

Solution: The number of jumbo tiles = x.   The number of regular tiles = 2x.   Assume the ratio of the dimensions of a regular tile is a:a --> area = a^2.   The dimensions of a jumbo tile is 3a:3a --> area = 9a^2.   The area of regular tiles = 2x*a^2 = 40.   The area of jumbo tiles = x*9a^2 = 4.5(2x*a^2 ) = 4.5*40= 
4.5*40 = 180
180.   Total area= 40 + 180= 
40 + 180 = 220
220.   Answer: 220.
Answer: B
An IT company pays an average salary of $2000 for its 30 team leads and $5000 for it 2 managers. What is the average salary for the company? Choices:
A) $12,00  B) $4,000  C) $3,000  D) $2,187.50  E) $15,000

Solution: Number of team leads is 30   Their average salary is $2000   Managers of the company are 2   Their average salary is $5000   Total salary of team leads is 30*20,00=$60,000   Total salary of the managers is 2*5000=$10,000   Total salary for the company is 60,000+10,000=70,000   Average salary for the company is 70,000/30+2=$2,187.50   Answer is $2,187.50
Answer: D
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number S of integers that can be negative? Choose the correct choice from the following answers.
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Minimuum should be 1   Maximum should be 4:   1 out of a or b to make the multiplication negative   3 out of c, d, e or f to make the multiplication negative.   Negative+Negative<0   Answer:C   maximum will be 5..   you dont require both the multiplicatin to be negative for entire equation to be negative...   any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...   actually by writing minimum required as 1 out of 6,you are actually meaning S= 5 out of 6 also possible as you will see 5 or 1 will give you same equation..   ans 5
Answer: D
What is the greatest possible length which can be used to measure exactly the lengths 18 m, 40 m and 6 m 50cm?	Choose the correct choice from the following:
A) 20 cm  B) 23 cm  C) 25cm  D) 10 cm  E) 28 cm

Solution: Required length = HCF of 1800 cm, 4000 cm, 650 cm = 50 cm   Answer is 10 cm
Answer: D
A gym offers 11 levels of fitness classes, and in an attempt to reward those who progress toward higher levels of fitness it charges $50 less per course for each level of fitness. Jessica completed all 11 levels by taking one course at each level, and her total cost was $4675. What is the cost V for a course at the gym's highest level? Choose the correct choice from the following choices
A) $175	B) $245	C) $425	D) $675	E) $725

Solution: Let the cost of a course in level 1 = x   => Cost of level 2 = x-(50*1)... and so on   => cost of level 11 = x-(50*10) = x-500   => Total cost V of 1 course in each of the 11 levels = x+(x-50)+(x-100)+.....+(x-500)   = 11x -50 (1+2+....+10)   = 11x - (50*55)   => 11x-2750 = 4675   11x = 7425   x= 675   x-500=175   $175nswer $175
Answer: A
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Choices
A) 6  B) 14  C) 22  D) 30  E) 174

Solution: The number of integers that belong to set X ONLY is 8-6= 
8-6 = 2
2;   The number of integers that belong to set Y ONLY is   18-6= 
  18-6 = 12
12;   The number of integers that belong to set X or set Y, but not both is   2+12= 
  2+12 = 14
14.   Answer: 14.
Answer: B
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a four. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning?
Choose the correct choice from the following options: A) 1/48 B) 5/16 C) 11/16 D) 11/12 E) 23/48

Solution: First lets get the overview   Event 1(A) = Flipping the quarter( Probability of both winning/loosing = 1/2)   Event 2(B) = Rolling a dice( Probability of winning = 1/6 ;Probability of loosing= 1 - 1\6 =5\6)   Event 3(C) = Drawing a card( SPADES) Probability of winning = 13/52=3/4 ;Probability of loosing= 1 - 3/4 =1/4)   So now as above we have three events A,BC.   1st method(This is lengthy method)   Possible cases in which it's a win( the highlighted green event is a win and red is loose.   1.AB11/16= 1/2*5/6*3/4   OR   2.AB11/16= 1/2*1/6*3/4   OR   3.AB11/16= 1/2*5/6*1/4   OR   4.AB11/16= 1/2*1/6*3/4   OR   5.AB11/16= 1/2*5/6*1/4   OR   6.AB11/16= 1/2*5/6*1/4   OR   7.AB11/16= 1/2*1/6*1/4   As we now OR means add   Adding up all of them we'll get the probability of winning ie 11/16   Answer : 11/16
Answer: C
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choose the most appropriate option
A) 2000 m^2	B) 2340 m^2	C) 2520 m^2	D) 2556 m^2	E) 2534 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
A can contains a mixture of liquids A and B is the ratio 7:5. When 18 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?	Choose the correct choice from the following answers.
A) 32
B) 52
C) 62
D) 42
E) 48

Solution: Ci*Vi = Cf*Vf   (7/12)*(V1 - 18) = (7/16)*V1   (V1 - 18)/V1 = 3/4   18 accounts for the difference of 1 on ratio scale so Initial volume = V1 = 4*18= 
4*18 = 72
72 litres.   7/12 of the initial mixture was liquid A so liquid A was   (7/12)*72= 
  (7/12)*72 = 42
42 litres.   Answer : 42
Answer: D
A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $90?	Choose the correct choice from the following answers.
A) 28	B) 29	C) 31	D) 34	E) 36

Solution: Every two days, the net total is $5.   After 28 days, the worker will have $70.   On day 29, the worker will receive $20 for a net total of $90.   The answer is 29.
Answer: B