MU-NLPC/Calc-aqua_rat huggingface dataset:
Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 20 times smaller, from source B alone?
Choose the correct choice from the following answers.
A) 6 hours and 40 minutes	B) 15 minutes	C) 20 minutes	D) 10 minutes	E) 3 minutes

Solution: Let the movie size be 400 u.   Given,A+C=4 hrs.   A+C=100 u/hr   And A+B+C=2.5 hrs or   400/2.5= 
  400/2.5 = 160
160 u/hr   B alone=160-100= 
160-100 = 60
60 u/hr   Trailer=20 times smaller or  400/20= 
  400/20 = 20
20 u   B will take 20/60 hrs or 20 minutes.   Ans 20 minutes
Answer: C
If a student loses 5 kilograms, he will weigh twice as much as his sister. Together they now weigh 104 kilograms. What is the student's present weight in kilograms?
Options
A) 70
B) 71
C) 72
D) 73
E) 74

Solution: Let x be the weight of the sister.   Then the student's weight is 2x+5.   x + (2x+5) = 104   3x = 99   x = 33 kg   Then the student's weight is 71 kg.   The answer is 71.
Answer: B
A 12% stock yields 8%.The market value of the stock is :  Choose the correct choice: A) Rs. 72 B) Rs. 150 C) Rs. 112.50 D) Rs. 116.50 E) None of these

Solution: solution   To obtain Rs. 8, investment = Rs. 100.   To obtain Rs. 12, investment = Rs.(100/8X12)= Rs. 150   ∴ Market value of Rs. 100 stock = Rs.150   Answer Rs. 150
Answer: B
In a certain city each of 25 Girl Scout troops is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors or a combination of 3 colors. If each troop has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a flag does not matter.)  Answers:
A) 7 B) 3 C) 6 D) 4 E) 5

Solution: E.5:   if we have 5 colors we can choose pairs in 5C2 + 5C3 ways = 10 + 10 and single color flags are 5. Therefore total number of flags = 25.   ANS 5.
Answer: E
In what time will a train 600 meters long cross an electric pole, if its speed is 144 km/hr  Pick one:  A) 5 seconds  B) 4.5 seconds  C) 3 seconds  D) 15 seconds  E) None of these

Solution: Explanation:   First convert speed into m/sec   Speed = 144*(5/18)= 
144*(5/18) = 40
40 m/sec   Time= 15 secondsistance/speed   = 600/40= 
600/40 = 15
15 seconds   Answer: 15 seconds
Answer: D
Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60
minutes how many times they will toll together. Options.
A) 15 B) 16 C) 30 D) 31 E) None of these

Solution: Explanation:   LCM of 2-4-6-8-10-12 is 120 seconds, that is 2 minutes.   Now  60/2= 
 60/2 = 30
30   Adding one bell at the starting it will  30+1= 
 30+1 = 31
31   Answer: Option 31
Answer: D
If 28 less than five times a certain number is 232. What is the number?
Select:
A) 32
B) 42
C) 52
D) 62
E) 72

Solution: 5x−28 Subtraction is built backwards,multiply the unknown by 5   5x−28=232 Is translates to equals   +28+28 Add 28 to both sides   5x=260 The variable ismultiplied by 5   5 5 Divide both sides by 5   x=52 The number is 52.   correct answer 52
Answer: C
The sum of the mean, the median, and the range of the set {2, 4, 6,8,10} equals which one of the following values?
Pick one:  A) 21  B) 42  C) 61  D) 84  E) 10

Solution: set {2, 4, 6, 8, 10}   Mean = (2+4+6+8+10)/5= 
(2+4+6+8+10)/5 = 6
6   Meadian= Middle term = 6   Range = Highest - Lowest = 10-1= 
10-1 = 9
9   Mean+Median+Range= 6+6+9= 
6+6+9 = 21
21   21nswer: Option 21
Answer: A
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?  Choose one.
A) 160
B) 175
C) 180
D) 195
E) 215

Solution: Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 X 8 X 4) = 160.   160 X 2.40 + x X 3.20 = 432   3.20 X = 432 - 384= 
432 - 384 = 48
48   x= 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175   Answer: Option 175
Answer: B
How many diagonals does a 60-sided convex polygon have? Choose one.
A) 960 B) 1280 C) 1710 D) 2560 E) 3420

Solution: A 60-sided convex polygon has 60 vertices.   If we examine a single vertex, we can see that we can connect it with 57 other vertices to create a diagonal. Note that we can't connect the vertex to itself and we can't connect it to its adjacent vertices, since this would not create a diagonal.   If each of the 60 vertices can be connected with 57 vertices to create a diagonal then the total number of diagonals would be (60)(57) = 3420   However, we must recognize that we have counted every diagonal twice.   To account for counting each diagonal twice, we must divide 3420 by 2 to get 1710.   The answer is 1710.
Answer: C
Find the number of days required by z number of workers, working z hours a day to complete z units of work, if x workers, working x hours a day complete x units of work in x days. Choose the correct answer
A) x3/z	B) x2/z	C) x3/z2	D) x2/z2	E) None of these

Solution: Explanation :   M1D1T1W2 = M2D2T2W1   Where, M – number of men   D – number of days   T – time duration   W – amount of work   x*x*x*z = z*D2*z*x   D2 = x2/z   Answer : x2/z
Answer: B
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?  Choose the correct choice:
A) 16	B) 27	C) 31	D) 32	E) 64

Solution: The solution offered counted it differently.   So I just want to clear it up whether I am also thinking in the right direction.   Number of subset   Since we have 5 digits other than 0, we can take any numbers from the set of 5 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.   5c1+5c2+5c3+5c4+5c5=31   And one set is the NULL set having no elements in it so    31+1= 
 31+1 = 32
32   ANSWER:32
Answer: D
A number is increased by 50% and then decreased by 50%, the final value of the number is ?
Pick one.
A) decrease by 20% B) decrease by 22% C) decrease by 23% D) decrease by 21% E) decrease by 25%

Solution: Here, x = 50 and y = - 50   Therefore, the net % change in value   = ( x + y + xy/100)%   = [50 - 50 + (50 * -50)/100]% or - 25%   Since the sign is negative, there is a decrease in value by 25%.   ANSWdecrease by 25%R: decrease by 25%
Answer: E
With out any halt a train travels a certain distance with an average speed of 55 km ph , and with halts it covers the same distance at an average speed of 40 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
Pick one:
A) 48 min.  B) 6min.  C) 15min.  D) 18min.  E) 19min.

Solution: With halt in 1 hour the train travels 60km   With out halt for traveling same distance it take 55/50 = 11/10 = 66 minutes   :. 6 minutes is the halting time per hour   ANSWER:6min.
Answer: B
What will be the difference between simple and compound interest at 14% per annum on a sum of Rs. 1000 after 4 years? Choose the correct choice from the following
A) 129  B) 130  C) 124  D) 133  E) 145

Solution: S.I. = (1000 * 14 * 4)/100 = Rs. 560   C.I. = [1000 * (1 + 14/100)4 - 1000] = Rs. 689 Difference = (689 - 560) = Rs. 129   129nswer: 129
Answer: A
If a coin is tossed three times, what is the probability that on the first toss the coin lands heads, on the second toss the coin lands tails, and on the third toss the coin lands heads.	Choose one:
A) 1/2
B) 1/8
C) 1/4
D) 3/8
E) 1/16

Solution: Since there are two options for how a coin can land (heads or tails), that means there is a 1/2 chance to land on tails and a 1/2 chance to land heads. To solve this problem you multiply each probability for each flip together. (1/2) chance to land heads the first time * (1/2) chance to land tails the second time * (1/2) chance to land heads the third time = (1/8) chance to land heads the first time, tails the second time, and heads the third time.   Answer: 1/8
Answer: B
If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 8 people to do 8 times of that particular work? Choose the correct choice from the following answers
A) 1
B) 2
C) 3
D) 8
E) 11

Solution: 3 people can do the work one time in one day.   1 person can do 1/3 of the work in one day.   8 people can do 8/3 of the work in one day.   8 people can do 8 times the work in 3 days.   The answer is 3.
Answer: C
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey?  Choose the correct answer:
A) 4
B) 3.5
C) 3
D) 3.1
E) 2.8

Solution: M = 4.5   S = 2.5   3.1S = 7   US = 2   AS = (2 * 7 * 2) /9 = 3.1   Answer: 3.1
Answer: D
The ratio of red boxes to blue boxes in a certain warehouse is 12 to 20. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?	Choose the most appropriate option
A) 80  B) 74  C) 111  D) 148  E) 244

Solution: Ratio = R/B = 12/20 or R = 12/20 B -----------(1)   2R/B+150 = 12/20*1/2 = 6/20 or we can say that 20R=3B+450 -------------(2)   solving (1) and (2) we get   B=50 and R = 30   so total boxes is B + R = 50+30= 
50+30 = 80
80   Hence A. 80 is the correct answer
Answer: A
Find the average of first 30 natural numbers.	Pick one.
A) 12 B) 15.5 C) 14.5 D) 16 E) 17

Solution: Explanation:   Sum of first n natural numbers = n(n+1)/2   Hence, sum of first 30 natural numbers = (30 x 31)/2 = 465   Therefore, required average of = 465/30= 
465/30 = 31/2 = around 15.5
15.5   ANSWER 15.5
Answer: B
3 red and 4 blue balls are in a basket. A member of PPTeam is drawing balls from the basket. What is the probablity of getting the 3 red balls simultaneously?	Choose the correct choice from the following answers:
A) 1/35 B) 2/35 C) 3/35 D) 4/35 E) 5/35

Solution: (3C3)/(7C3)=1/35   1/35NSWER:1/35
Answer: A
What is the area of a square field whose diagonal of length 20 m?
Choose the correct choice from the following options
A) 10 sq m B) 200 sq m C) 400 sq m D) 500 sq m E) 156 sq m

Solution: Explanation:   d^2/2 = (20 * 20)/2= 
(20 * 20)/2 = 200
200 sq m   Answer : 200 sq m
Answer: B
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choose one:
A) 31.8
B) 31.1
C) 31.6
D) 31.2
E) 31.9

Solution: Explanation:   100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer: 31.6
Answer: C
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 72 km downstream?	Choices:
A) 2 hours
B) 4 hours 12 minutes
C) 4 hours
D) 5 hours
E) None

Solution: Solution   Speed Downstream	= (13 + 4) km/hr   = 17 km/hr.   Time taken to travel 72 km downstream	=(72 / 17)hrs   = 4 hrs 12 minutes.   Answer 4 hours 12 minutes
Answer: B
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase W in sales? Choose the correct option
A) 2%	B) 17%	C) 20%	D) 65%	E) 83%

Solution: Last year's sales = $320 million;   This year's sales = $385 million;   Increase W = $65 million.   Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.   Answer: 20%.
Answer: C
If -4 and -8 are negative integers, then -4*-8 + 2 is
Choose the correct choice from the following choices: A) -32 B) -30 C) 34 D) -24 E) -10

Solution: Answer : 34
Answer: C
Cole drove from home to work at an average speed of 50 kmh. He then returned home at an average speed of 110 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Choose the most appropriate option:
A) 66.5	B) 70.5	C) 72.5	D) 75.5	E) 82.5

Solution: Let the distance one way be x   Time from home to work = x/50   Time from work to home = x/110   Total time = 2 hrs   (x/50) + (x/110)= 2   Solving for x, we get x = 275/4   Time from home to work in minutes= (275/4)*60/50= 
(275/4)*60/50 = 165/2 = around 82.5
82.5 minutes   Ans= 82.5
Answer: E
log3 N+log5 N what is 3 digit number N that will be whole number
Choose the correct choice from the following answers.
A) 629	B) 729	C) 829	D) 125	E) 727

Solution: No of values N can take is 1   5^3=125   ANSWER:125
Answer: D
There were 35 students in a hostel. Due to the admission of 7 new students, he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the mess?  Answers:
A) 125  B) 321  C) 561  D) 852  E) 420

Solution: Let the original average expenditure be Rs. x. Then,   42 (x - 1) - 35x=42;	7x= 84;	x =12.   Original expenditure = Rs. (35 x 12) =Rs. 420. .   Ans: 420
Answer: E
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $843,000 invested in preferred stocks, what is the total amount of money invested in the fund?
Pick.
A) $1,974,000
B) $2,538,000
C) $3,264,000
D) $3,826,000
E) $4,215,000

Solution: Portion invested in preferred stock = 3/5 * 1/3 = 1/5   1/5 of fund = 843---   Fund = 5 * 843---   Here, we can avoid the math and simply look at 5 * 3 -> 15. Only option E has 15 in it.   Answer ($4,215,000).
Answer: E
A retail item is offered at a discount of a percent (where a > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of a, would result in the same final price? Choose one:	A) p+5/1.05	B) p/1.05 +5	C) 1.05a-5	D) a-5/1.05	E) 1.05(a – 5)

Solution: Let x be the price of the item.   Final price after discount and sales tax = x * (1 - a/100) * 1.05   Let b be the percent discount which would result in the same final price.   Then,   x * (1 - a/100) * 1.05 = x * (1 - b/100)   => 1.05 - 1.05a/100 = 1 - b/100   => b/100 = 1.05a/100 - .05   => b = 1.05a - 5   Hence ,option 1.05a-5 is correct.
Answer: C
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days? Choose the most appropriate option
A) 22 1/8  B) 22 1/2  C) 22 1/1  D) 22 1/5  E) 22 1/9

Solution: 1/18 + 1/30 = 8/90 = 4/45   45/4 = 11 ¼ *2 = 22 1/2 days   Answer:22 1/2
Answer: B
A man spends 20% of his income in house rent, 10% of the rest on his children’s education, 15% of the rest miscellaneous causes. If he now posses Rs. 6352 then his income is?
Choose the correct choice from the following options: A) A)Rs.10379 B) B)Rs.40598 C) C)Rs.45699 D) D)Rs.30379 E) E)Rs.59879

Solution: X * (80/100) * (90/100) * (85/100) = 6352   X * 0.8 * 0.9 * 0.85=6352   X = 6352/0.612   X = 10379   Rs.10379NSWER:Rs.10379
Answer: A
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?	Choose the correct answer
A) 3/7 B) 3/11 C) 4/7 D) 5/8 E) 5/9

Solution: Let A be the event ‘the number on the card drawn is even’ and B be the   event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).   Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}   Then A = {2, 4, 6, 8, 10}, B = {4, 5, 6, 7, 8, 9, 10}   and A n B = {4, 6, 8, 10}   Also P(A) = 5/2, P(B) = 7/10 and P(A n B) = 4/10   Then P(A|B) = P(A n B)/P(B) = (4/10)/(7/10)	= 4/7   4/7)
Answer: C
Two size of envelope having color of red,blue, purple ,green..company made packages of three envelopes either same size same color or same size different color...how many packages possible if sequence of color doesn't matters?  Choose the correct answer: A) 12 B) 13 C) 14 D) 15 E) 16

Solution: For same colour four combinations are possible GGG,RRR,BBB,PPP   Four diff color four combinations r possible   GBR,GRP,GBP,RBP   So total 8 combination for each size   So no. Of package=16   ANSW16R:16
Answer: E
If log2X +log2Y ≥ 6, then the least value of XY is?
Choose the correct choice from the following answers
A) 4
B) 8
C) 64
D) 32
E) 16

Solution: Given : log2X + log2Y ≥ 6   => log2(XY)≥6   => XY ≥ 64   ANSWER:64
Answer: C
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?  Choose the correct choice from the following:
A) 3
B) 7
C) 5
D) 3
E) 4

Solution: S = (1 + 2 + 3)/2= 
(1 + 2 + 3)/2 = 3
3   3nswer: 3
Answer: A
How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together? Choose the correct choice from the following options:	A) 42	B) 420	C) 470	D) 540	E) 4320

Solution: Given word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.   Then, the letters to be arranged are DGNTR (AUE).   Then 6 letters to be arranged in 6p6 = 6! = 720 ways.   The vowels in the group (AUE) may be arranged in 3! = 6 ways.   Required number of words = (720x6) = 4320.   ANSW4320R 4320 4320
Answer: E
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area? Choose the correct choice from the following
A) 37.7%	B) 37.5%	C) 36.5%	D) 27.5%	E) 47.5%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   110 * 125= 
110 * 125 = 13_750
13750   -----------   3750   10000 ------ 3750   100 ------- ?=> 37.5%   Answer:37.5%
Answer: B
If a and s are positive integers such that (2^a)(4^s) = 16, then 2a + s =  Choose one.
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: lets get the eq into simplest orm..   (2^a)(4^s) = 16..   (2^a)(2^2s) = 2^4..   or a+2s=4..   since a and s are positive integers, only a as 2 and s as 1 satisfy the Equation..   so 2a+s=2*2+1=5..   5
Answer: D
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Select the correct option
A) 12
B) 18
C) 22
D) 24
E) 26

Solution: 9 * 2= 
9 * 2 = 18
18 years   18
Answer: B
At exactly what time past 10:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?  Choices:	A) 20 13/21 minutes past 7:00	B) 20 13/17 minutes past 7:00	C) 21 3/23 minutes past 10:00	D) 21 9/11 minutes past 7:00	E) 22 4/9 minutes past 7:00

Solution: A1 = hour angle   A2 = minute angle   A1-A2 = 90   Assume the minutes = M   A1 = (10*60+M)/12*60 )*360   A2 = M*360/60   Solving all three equation , results in the answer 21 3/23 minutes past 10:00
Answer: C
Kim has 9 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 18 shoes, what is the probability that she will select 2 shoes of the same color? Choose the correct answer.
A) 2/5  B) 11/5  C) 1/9  D) 1/17  E) 1/5

Solution: Can be tackled in this way as well: Probability of selecting any 1 out of 10 shoes = 18/18= 
18/18 = 1
1   Probability of selecting the next shoe (out of 18 available) having the same color= 1/18 (as after selecting the 1st one, there is only 1 another shoe left with the same color).   Thus the total probability = 1*1/17=1/17.   1/17 is the correct answer.
Answer: D
x and y are positive integers. If y + x is odd, then which of the following must be even? Choose one:
A) x	B) y	C) x + y	D) xy − x	E) x^2 − y

Solution: Given that y + x is odd,   Hence x is odd, Answer will be x + y.
Answer: C
A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Select:
A) 48  B) 50  C) 52  D) 54  E) 56

Solution: 60 * T = 1 km => T = 1/60 km/h   V*(T+15/3600) = 1   V (1/60 + 15/3600) = 1   V (75/3600) = 1   V = 48 km/h   The answer is 48.
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Select
A) 350 m
B) 250 m
C) 300 m
D) 148 m
E) 150 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 9= 
50/3 * 9 = 150
150 m   Answer:150 m
Answer: E
Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul
who is Hema’s brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj’s age
is more than Hema’s when Raj will be 20 years old. Select the correct option
A) 33.33	B) 27.33	C) 28.38	D) 29.37	E) 28.31

Solution: 33.33nswer: 33.33
Answer: A
A is twice as good a work man as B and together they finish the work in 12 days. In how many days A alone can finish the work?	Choose the correct option.
A) 23  B) 18  C) 77  D) 92  E) 61

Solution: WC = 2:1   2x + x = 1/12 => x = 1/36   2x = 1/18   A can do the work in 18 days.   Answer: 18
Answer: B
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did Monica plan on?	Choose the correct choice:	A) 3.	B) 4.	C) 6.	D) 8.	E) 7.

Solution: 5N +2 = 2 + 6(N-1)   Solving N= 6   Hence 6.
Answer: C
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different W sets can be produced by this process? Choose the correct choice from the following choices.
A) 41	B) 89	C) 125	D) 243	E) 512

Solution: Case 1: 1 used envelope => 1 way   Case 2: 2 used envelopes   - 4-1-0: Choose 4 from 5 cards: 5 ways   - 3-2-0: Choose 3 from 5 cards: 10 ways   Case 3: 41ll envelopes used   - 3-1-1: Choose 3 from 5 andno need to choose 1 from 2: 10 ways   - 2-2-1: Choose 2 from 5 and choose 2 from 3, but two groups are the same => (10X3):2 = 15   Total W: 1+5+10+10+15= 
1+5+10+10+15 = 41
41=> 41nswer: 41
Answer: A
In a single throw of a die what is the probability of getting a number greater than 2 ?	Choices:	A) 2/3	B) 1/4	C) 2/5	D) 1/3	E) 1/5

Solution: when a die is thrown S={1,2,3,4,5,6}   E = event of getting a number greater than 2 = {3,4,5,6}   P(E) = n(E)/n(S) = 4/6 = 2/3   2/3nswer is 2/3
Answer: A
34 men can complete a piece of work in 18 days. In how many days will 17 men complete the same work?  Answers:
A) 36
B) 26
C) 97
D) 26
E) 19

Solution: Explanation:   Let the required number of days be A.   Then, Less men, More days (Indirect Proportion)   17 : 34 : : 18 : 36   17 x 36 = 34 x 18   36 = (34 x 18) / 17   36 = 36   36NSWER: 36
Answer: A
A fruits marks his fruit baskets 40% more than the real price and allows 15% discount. His profit is:	Choose the correct choice from the following answers
A) 16%
B) 17%
C) 18%
D) 19%
E) 20%

Solution: Let the CP = 100 Rs.   Mark Price = 140   19%iscount = 15%   Selling price 85/100 Ã— 140   Hence profit = 19%   Answer: 19%.
Answer: D
Two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? Choose the most appropriate option:
A) 100m  B) 75m  C) 120m  D) 50m  E) 40m

Solution: As both trains move in same direction, the relative velocity is (50-32)Km/hr   => Velocity = 18Km/hr = 18*(5/18) m/s = 5m/s   As 15seconds is the total time taken by the train,   => Length of train = 5*15= 
5*15 = 75
75m   ANSWER:75m
Answer: B