MU-NLPC/Calc-aqua_rat huggingface dataset:
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 2000. He sold both the items together for Rs. 6000. What percentage of profit did he make?  Choose the correct choice from the following.
A) 80%  B) 50%  C) 40%  D) 48%  E) 10%

Solution: The total CP = Rs. 2000 + Rs. 2000   = Rs. 4000 and SP = Rs. 6000   Profit(%) = (6000 - 4000)/4000 * 100= 
(6000 - 4000)/4000 * 100 = 50
50%   Answer: 50%
Answer: B
110AB
In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 55, what is the greatest possible value of B x A?  Choose the correct choice from the following choices
A) 0  B) 5  C) 10  D) 15  E) 25

Solution: 55 is a multiple of 11 and hence the divisibility for 11 is also valid here. (sum of digits in odd place-sum of digits in even should be either 0 or 11).   i.e. (1+0+B)-(1+A)=0 OR 11   implies B-A=0   The only possible values being 00. or 55.   Answer choice 25.
Answer: E
Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 1 women will be selected ?
Choose the correct choice from the following options.
A) 1/6 B) 1/4 C) 2/7 D) 2/3 E) 1/2

Solution: Group 1: 3 Men and 1 Woman   Group 2: 1 Men and 2 Woman   Need: 2 Men and 2 women   Case 1: 2 Men from Group 1 and 1 women from group 2 - 3C2*2C1 = 6 ways   Case 2: 1 Men and 1 Woman from Group 1 and 1 Man and 1 women from group 2 - 3*1*1*2 = 6 ways   Total Favorable cases = 6+6= 
6+6 = 12
12   Total Possible ways of selecting students 2 from each group= 4C2*3C2 = 6*3= 
6*3 = 18
18   Probability= 12/18 = 2/3   Answer : Option 2/3
Answer: D
Find the odd man out. 1050, 510, 242, 104, 46, 16, 3  Choose the correct choice from the following choices
A) 46  B) 104  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 104. Answer : Option 104
Answer: B
A train passes a platform in 44 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is  Choose the correct option.
A) 240  B) 250  C) 360  D) 230  E) 220

Solution: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 36   => 300+L = 15×44 = 660   => L = 660-300= 
660-300 = 360
360 meter   Answer is 360.
Answer: C
What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/4 Choices
A) 2/5
B) 3/5
C) 7/12
D) 1/7
E) None of these

Solution: Explanation:   2/3 = .66, 3/4 = .75, 4/5 = .8 and   5/4= 
  5/4 = 5/4 = around 1.25
1.25   So biggest is 5/4 and smallest is 2/3   Their difference is 5/4 - 2/3= 7/12   Option 7/12
Answer: C
If a square and a rhombus stand on the same base, then what is the ratio of the areas of the square and the rhombus? Select the correct option:
A) equal to 12
B) equal to 34
C) greater than 1
D) equal to 1
E) None

Solution: Explanation:   If a square and a rhombus lie on the same base, area of the square will be greater than area of the rhombus (In the special case when each angle of the rhombus is 90°90°, rhombus is also a square and therefore areas will be equal)   Hence greater than 11 is the more suitable choice from the given list   Answer: Option greater than 1
Answer: C
What decimal fraction is 50 ml of a litre ? Choose one.
A) .5  B) .05  C) .05  D) 0.05  E) None of these

Solution: Answer   Required fraction = 50/1000   = 5/100= 
5/100 = 1/20 = around 0.05
.05   Correct Option: .05
Answer: B
how many internal diagonals does a hexagon (six sided polygon) have? Options:
A) 5	B) 6	C) 8	D) 9	E) 10

Solution: Number of diagonals in any polygon can be found using this formula: n(n-3)/2   Here n = 6   No. of diagonals = 6(6 - 3)/2   = 9   Ans 9
Answer: D
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?  Choose the correct choice from the following answers:  A) 65 min  B) 99 min  C) 56 min  D) 1Z min  E) 12 min

Solution: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24   Suppose the tank is filled in x minutes.   Then, x/2(1/24 + 1/40) = 1   x/2 * 1/15 = 1 => x = 30 min.   Answer: 1Z min
Answer: D
The odds against ram solving the problem are 7 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try? Answers:  A) 1/4  B) 5/21  C) 16/21  D) 23/28  E) 17/24

Solution: Odds against Ram are 7:3 so probability that he will solve the problem is 3/10.   Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12   It will be solved means that either Ram or Krishna or both will be able to solve it.   P(A or B) = P(A) + P(B) - P(A and B) = 3/10 + 7/12 - (3/10)*(7/12) = 17/24   17/24
Answer: E
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 1:2 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.  Choices
A) 18:13  B) 16:13  C) 19:13  D) 14:11  E) 13:11

Solution: Vessel A = 300 gallons --> milk = 100, water = 200;   Vessel B = 500 gallons --> milk = 375, water = 125;   Vessel A + B = 800 gallons --> milk = 475, water 325.   The ratio = 475/325 --> 19/13   Answer: 19:13
Answer: C
The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the correct answer: A) 21 B) 56 C) 100 D) 25 E) 23

Solution: 1 to 11 = 11 * 46= 
11 * 46 = 506
506   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 â€“ 506 = 100   Answer:100
Answer: C
Village P’s population is 1200 greater than Village Q's population. If Village Q’s population were reduced by 800 people, then Village P’s population would be 6 times as large as Village Q's population. What is Village Q's current population?  Select the correct option:
A) 1050
B) 1100
C) 1150
D) 1200
E) 1250

Solution: P = Q+1200.   P=6(Q-800).   6(Q-800)=Q+1200.   5Q=6000.   Q=1200.   The answer is 1200.
Answer: D
80 percent of the members of a study group are women, and 40 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
Choose the correct choice from the following choices
A) 0.45 B) 0.55 C) 0.65 D) 0.32 E) 0.35

Solution: Say there are 100 people in that group, then there would be 0.8*0.40*100= 
0.8*0.40*100 = 32
32 women lawyers, which means that the probability that the member selected is a woman lawyer is favorable/total=32/100.   Answer: 0.32
Answer: D
A baseball card decreased in value 40% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?	Options: A) 28% B) 30% C) 32% D) 46% E) 72%

Solution: consider the initial value of the baseball card as $100   After first year price = 100*0.6= 
100*0.6 = 60
60   After second year price= 60 *0.9= 
60 *0.9 = 54
54   final decrease= [(100 - 54)/100] * 100 = 46%   correct answer - 46%(100 - 54)/100  * 100= 
(100 - 54)/100  * 100 = 46
46%   correct answer - 46%
Answer: D
What is the greatest value of x such that 4^x is a factor of 21! ? Pick one:
A) 5 B) 6 C) 3 D) 2 E) 4

Solution: Pretty simple, really.   If m = 6, then 4m = 24, which is 12x2, both of which are included in 21!   Since 6 is the largest number here, its the answer.   Answer is 6
Answer: B
Taylor is making a bracelet. He Starts with 3 blue knots, 6 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet. Choose one
A) 89  B) 90  C) 95  D) 97  E) 87

Solution: Repeating sequence = 3 + 6 + 2= 
3 + 6 + 2 = 11
11.   As the pattern ends in Y this could be the 10th thread or 11 thread (both are yellow)   Out of the answer choices, correct on should be a multiple of 11(since 11 threads are repeating) and if not, multiple of 11 + 10 (since 11 threads are repeating and last sequence end at first yellow)   none of the options is a direct multiple of 11 and only option that is multiple of 11; + 10 is 87 (11*7) + 10   Hence, answer is 87
Answer: E
A man can row with a speed of 13 kmph in still water. If the stream flows at 53 kmph, then the speed in downstream is?	Pick:
A) 28
B) 16
C) 20
D) 87
E) 24

Solution: M = 13   S = 3   DS = 13 + 3= 
13 + 3 = 16
16   Answer: 16
Answer: B
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?  Choose the correct choice from the following answers:
A) 1 kmph	B) 2 kmph	C) 7 kmph	D) 8 kmph	E) 9 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer: 1 kmph
Answer: A
How many words can be formed by using all letters of the word ‘DESK’ ?
Choose the correct option.
A) 16 B) 20 C) 24 D) 28 E) 32

Solution: The word contains 4 different letters.   The number of permutations is 4! = 24   The answer is 24.
Answer: C
Find the ratio between whole surfaces of a sphere and a hemisphere?	Answers:  A) 4:9  B) 4:3  C) 4:6  D) 4:2  E) 4:1

Solution: 4 πr2 : 3 πr2 => 4:3   Answer:4:3
Answer: B
Find the average of all numbers between 5 and 37 which are divisible by 4 Choose one: A) 25 B) 20 C) 45 D) 30 E) 35

Solution: Explanation:   Average=(4+8+12+16+20+24+28+32+36) / 4)=180 / 4= 
180 / 4 = 45
45   Option 45
Answer: C
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs. ) is? Answers:	A) 625	B) 286	C) 266	D) 191	E) 811

Solution: Explanation:   Let the sum be Rs. x. Then,   [x (1 + 4/100)2 - x] = (676/625 x - x) = 51/625 x   S.I. = (x * 4 * 2)/100 = 2x/25   51x/625 - 2x/25 = 1 or x = 625.   625nswer: 625
Answer: A
Ramzi walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk? Choose one
A) 24 B) 44 C) 58 D) 60 E) 62

Solution: Ramzi walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3= 
18/3 = 6
6 Hours   Second day time of walk= 6-1= 
6-1 = 5
5 hours and Speed= 3+1= 
3+1 = 4
4 miles per hour i.e. Distance walked on second day= 5*4= 
5*4 = 20
20 miles   Third day time of walk= 6 hours and Speed = 4 miles per hour i.e. Distance walked on second day = 6*4= 
6*4 = 24
24 miles   Total Distance travelled on three days= 18+20+24= 
18+20+24 = 62
62   Answer: Option 62
Answer: E
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?	Choose the correct choice from the following answers: A) 35 min B) 30 min C) 25 min D) 20 min E) 40 min

Solution: Explanation:   Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? è 20   ANSWER IS 20 min
Answer: D
Amit and Ananthu can do a work in 15 days and 60 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
Pick one:
A) 38 days  B) 40 days  C) 43 days  D) 45 days  E) 51 days

Solution: Amit’s one day’s work= 1/15   Amit’s 3 day’s work = 1/15 *3 = 1/5   Work left= 1-1/5 = 4/5   Ananthu’s one day’s work= 1/60   Ananthu can do work in = 4/5 *60= 
4/5 *60 = 48
48 days   So total days= 48+3= 
48+3 = 51
51 days   ANSW51 daysR:51 days
Answer: E
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 543.095 + ?  Choose the most appropriate option:	A) 870	B) 790	C) 980	D) 770	E) 890

Solution: ? = 285 + 1895 – 655 – 545 or, ? = 980   Answer 980
Answer: C
If the cost price is 25% of selling price. Then what is the profit percent Answers
A) 238	B) 278	C) 300	D) 166	E) 129

Solution: Explanation:   Let the S.P = 100   then C.P. = 25   Profit = 75   Profit% = (75/25) * 100= 
(75/25) * 100 = 300
300%   Answer: 300
Answer: C
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?	Choices.
A) 2 3/8 km B) 4 3/6 km C) 4 3/8 km D) 4 7/8 km E) 4 1/8 km

Solution: RS = 5 ¾ - 4 ½ = 1 ¼   T = 3 ½ h.   D = 5/4 * 7/2 = 35/8   = 4 3/8 km   Answer:4 3/8 km
Answer: C
Is y is a positive number? Statement–1: 2x+y > 27; Statement–2: x–3y < 24	Choose the correct answer.
A) 22	B) 62	C) 28	D) 16	E) 11

Solution: Answer:62
Answer: B
A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?	Choose the correct choice from the following answers:
A) 17/49  B) 17/42  C) 17/87  D) 17/29  E) 17/12

Solution: Explanation:   3 letters can be choosen out of 9 letters in {\color{Black} {^9}C_3} ways.   More than one vowels ( 2 vowels + 1 consonant or 3 vowels ) can be choosen in {\color{17/42lack} \left ( {^4}C_2\times {^5}C_1 \right )+{^4}C_3} ways   Hence,required probability = {\color{17/42lack} \frac{\left ( {^4}C_2\times {^5}C_1 \right )+{^4}C_3}{{^9}C_3}} = 17/42   Answer: 17/42) 17/42
Answer: B
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.	Choose the correct choice from the following answers
A) 26 kmph	B) 16 kmph	C) 36 kmph	D) 46 kmph	E) 13 kmph

Solution: Let the speed of the goods train be x kmph.   Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours   10x = 4 x 90 or x =36.   So, speed of goods train = 36kmph.   Option 36 kmph
Answer: C
How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct choice from the following
A) 24 sec  B) 30 sec  C) 27 sec  D) 28 sec  E) 29 sec

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18   = 50/3 m/sec.   Time taken to pass the man = 400 * 3/50= 
400 * 3/50 = 24
24 sec.   24 secnswer:24 sec
Answer: A
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 60 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?	Choose the correct choice from the following choices:  A) 53  B) 54  C) 55  D) 56  E) 57

Solution: 60+47= 
60+47 = 107
107 so 7% were both stockholders and employees.   The percent who were stockholders but not employees is  60-7= 
 60-7 = 53
53%   The answer is 53.
Answer: A
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choices:
A) 8:8  B) 9:8  C) 9:9  D) 9:5  E) 9:1

Solution: (3*6 + 6*6): (4*12)   54:48 => 9:8   Answer: 9:8
Answer: B
A woman bought books at 30% discount on its original price. He sold it at a 90% increase on the price he bought it. What percent of profit did he make on the original price?  Pick one
A) 33%
B) 22%
C) 44%
D) 55%
E) 66%

Solution: Original price = 100   CP = 70   S = 70*(190/100)= 
70*(190/100) = 133
133   100 - 133= 33%   33%nswer: 33%
Answer: A
A towel, when bleached, lost 20%20% of its length and 10%10% of its breadth. What is the percentage decrease in area?  Choices
A) 30% B) 28% C) 32% D) 26% E) 28%

Solution: Explanation:   Let original length =10   original breadth =10   Then, original area =10×10=100   Lost 20%20% of length   ⇒ New length =10−2=8 (∵ 2 is 20% of 1010)   Lost 10% of breadth   ⇒ New breadth =10−1=9 (∵ 1 is 10% of 10)   New area =8×9=72   Decrease in area   = original area - new area   =100−72=28   Percentage decrease in area   =decrease in area /original area×100   =28/100×100=28%   Answer: Option 28%
Answer: B
Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the lire of each.
Choose the correct choice from the following answers.
A) 2300
B) 3300
C) 4300
D) 1300
E) None of them

Solution: Clearly, Alfred invested his capital for 12 months, Peter for 9 months and Ronald for 3 months.   So, ratio of their capitals = (45000 x 12) : (60000 x 9) : (90000 x 3)   = 540000 : 540000 : 270000 = 2 : 2 : 1.   Alfred's share = Rs. (16500 x (2/5)) = Rs. 6600   Peter's share = Rs. (16500 x (2/5)) = Rs. 6600   Ronald's share = Rs. (16500 x (1/5)) = Rs. 3300.   Answer is 3300.
Answer: B
On a scale of map,0.6 cm represent 6.6 km.If the distance between the points on the map is 80.5 cm,the actual distance between these points is :	Options:	A) 9 km	B) 72.5 km	C) 190.75 km	D) 885.5 km	E) None of these

Solution: Solution   Let the actual distance be x km.Then,   More distance on the map,More is the actual distance (Direct Proportion)   ∴ 0.6 : 80.5 : : 6.6 : x ⇔ 0.6x = 80.5 × 6.6 ⇔ x = ⇔ x = 80.5x6.6/0.6=x=885.5. Answer 885.5 km
Answer: D
The security lock requires a five-digit lock code. If the lock code must consist only of digits from 1 through 6, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?
Choose the most appropriate option
A) 120  B) 240  C) 360  D) 720  E) 144

Solution: X-X-X-X-X --> there are 3 odd digits from 1 to 6, inclusive thus options for the first and the last X's are: 3-X-X-X-2. Other X's can take following values: 3-4-3-2-2 --> 3*4*3*2*2=144.   Answer: 144.
Answer: E
Jamboree and GMAT Club Contest Starts
QUESTION #12:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together? Choose the correct choice from the following answers
A) 660	B) 600	C) 400	D) 300	E) 240

Solution: The question is asking the total number of arrangements possible with the letters of the word “SELFIE” where two E’s are not together.   Arrangements when two E’s are not together = Total arrangements - Arrangements when two E’s are together   In total there are 6 letters but two are identical. so we can arrange in 6! ways. but we divide for those objects that are identical. so divide by 2!. Hence,   Total arrangements = 6!/2!   Now two E's are coupled together. Consider this couple (EE) as one letter. apart from this there are 4 more letters. so we can arrange these 5 different objects in 5! ways.   Two E's can arrange themselves in 2! ways, but we divide for those objects that are identical. so divide by 2!. so arrangement for E's would be 2!/2!.   Hence, Arrangements when two E’s are together = 5! * (2!/2!)   Arrangements when two E’s are not together = 6!/2! - 5! = 5! * ( 6/2 -1 ) = 120 * 2= 
120 * 2 = 240
240.   Option 400 is correct!
Answer: C
If s and t are positive integers such that s/t = 58.32, which of the following could be the remainder when s is divided by t ?
Choose the correct choice from the following choices: A) 22 B) 42 C) 18 D) 40 E) 45

Solution: s/t= 58.32   s = 58.32t   s = (58 + 0.32)t   s = 58t + (32/100)t   s = 58t + (8/25)t   So remainder will be multiple of 8. The only multiple of 8 is 40.   Ans. 40
Answer: D
2 men and 4 boys can complete a work in 4 days. 5 men and 6 boys can complete the same work in 3 days. The work done by 2 boys is equal to the work of how many men?
Select:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: Exp: (2m + 4b)’s one day’s work = 1/4   (5m + 6b)’s one day’s work = 1/3   => (8m + 16b)’s one day’s work = (15m + 18b) ’s one day’s work   => 7 men’s work = 2 boy’s work   So, we should be employ 5 more men to be completed the work.   Answer: 5
Answer: B
A club wants to mix 10 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?	Select:
A) 20  B) 30  C) 40  D) 50  E) 60

Solution: Let number of pounds of 5$ candy to be used be w   6 = (10*8 + 5*w)/(10 +w)   => 60 + 6w = 80 + 5w   => w = 20   20nswer 20
Answer: A
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?  Select.
A) 18
B) 15
C) 16
D) 20
E) 25

Solution: [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10   10(6x + 10) = 11(5x + 10) => x = 2   Sagar's present age = (5x + 6) = 16 years.   ANSWER 16
Answer: C
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choose the correct choice:  A) 230  B) 244  C) 245  D) 238  E) 236

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.   Answer: Option 245
Answer: C
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 10 times smaller, from source B alone?	Choose one: A) 40 minutes B) 15 minutes C) 12 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=40 times smaller or  400/10= 
  400/10 = 40
40 u   B will take 40/60 hrs or 40 minutes.   40 minutesns 40 minutes
Answer: A
A company has 3 directors and 5 managers. How many different committees with 5 people can be chosen having at least 1 director? Choose the correct choice from the following options.
A) 500 B) 720 C) 4500 D) 25 E) 55

Solution: at least one means exactly one and more than one.   different committees with 5 people can be chosen having at least 1 director is   (3c1*5c4) + (3c2*5c3) + (3c3*5c2) = 55;   Hence 55.
Answer: E
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 11 years more than twice the age of the son.Find the present age of the father. Pick.
A) 36  B) 77  C) 33  D) 44  E) 55

Solution: Explanation:   Let the present age be 'x' years. Then father's present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+11 x=11 Hence father's present age = 3x+3 =[ (3 x 11) + 3] = 36 years.   36nswer: 36
Answer: A
A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?	Select:
A) 5 months
B) 6 months
C) 7 months
D) 8 months
E) None of these

Solution: Explanation :   Let B joins for x months. Then   A:B = 85000*12 : x* 42500 = 3 : 1   => 850*12 : 425x= 3 : 1   => 850*12/ 425x = 3/1= 
3/1 = 3
3=> 850*4 /425x = 1   => 2*4/x = 1   => x = 8. Answer : Option 8 months
Answer: D