MU-NLPC/Calc-aqua_rat huggingface dataset:
With both inlets open, a water tank will be filled with water in 20 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?	Choose one:
A) 9,000  B) 1,500  C) 1,750  D) 1,200  E) 1,300

Solution: The work Done by Inlet A and B together in 1 min = 1/20   The work Done by Inlet A (First Inlet) in 1 min = 1/120   The work Done by Inlet B (Second Inlet) in 1 min = (1/20)- (1/120) =1/24   DIfference of Work done by B and A = B - A = 50 Cubic meter   i.e. (1/24)- (1/120) = 50 Cubic meter   i.e. 1500 Cubic Meter   Answer: option 1,500
Answer: B
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.3 km? Answers.
A) 600 m  B) 325 m  C) 300 m  D) 400 m  E) 100 m

Solution: 325 m   325 m   Distance covered by Amar = 18/4.8 (1.3km) = 3/8(1300) = 325 m   Answer is 325 m
Answer: B
Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?	Choose the most appropriate option
A) 8 hrs	B) 9 hrs	C) 18 hrs	D) 36 hrs	E) 33 hrs

Solution: 2 taps can fill in 4 hrs   With leak it will take 4 1/2 hrs   now leak can empty in 1/4-1/(4 (1/2))   1/4-8/9=1/36. so it an empty tank in 36 hrs   ANSWER:36 hrs
Answer: D
A merchandise feedback online portal accords ‘ratings’ to a product by recording the percentage of customers who have reported their views as either ‘satisfied’ or ‘unsatisfied’ only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers as recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as ‘satisfied’ ?	Choose the correct choice: A) 2 B) 3 C) 12 D) 43 E) 57

Solution: 57% unsatisfied . So ~43% satisfied   But 100% should be an integer only and since the above percentages are approximations 100% should be as close as possible to an integer.   Now substitute value   [1] If 43% is 2 what is 100% -> 200/43 is not giving a number which is closest to an integer.   [2] If 43% is 3 what is 100% -> 300/43 [43*7=301] ...therefore closest possible to an integer. [It also satisfies the least possible and hence we need not check for other choices which are greater than 3]   Therefore Ans is 3.
Answer: B
There are 780 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Select the correct option.
A) 75
B) 100
C) 125
D) 130
E) 225

Solution: female = x   Male = 780-x   x/2 + 780-x/4 = 1/3* (780)= 
1/3* (780) = 260
260   x= 260   x/2 = 130 is supposed to be the answer   M is missing something   Correct Option 130
Answer: D
Find the odd man out. 742, 743, 633, 581, 871, 990, 532	Choose the correct choice from the following.
A) 532  B) 990  C) 581  D) 743  E) None of these

Solution: Explanation :   In all numbers except 581, the difference of third and first digit is the middle digit. Answer : Option 581
Answer: C
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 400 miles apart, at what time will the trains pass each other? Choose the correct choice from the following:
A) 12:40pm B) 12:49pm C) 12:55pm D) 1:00pm E) 1:04pm

Solution: Train A: going from K to T   Train B: going from T to K   First I calculated how far Train A will have travelled by the time Train B starts at 12:10:   10 minutes at 240 mph    1/6*240= 
 1/6*240 = 40
40miles   They have 400-40= 
400-40 = 360
360 miles to travel to meet each other.   I found the combined rate of the two trains   Rate(A) + Rate(B)= 400mph   Divide Distance/Rate to find total time each will travel:   360/400>>> 54 Minutes to meet   12:10+54 minutes = 01:04 or Answer 1:04pm
Answer: E
In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?  Choose the most appropriate option:
A) 8 balls.
B) 4 balls.
C) 7 balls.
D) 5 balls.
E) 6 balls.

Solution: Let us first find the fraction of green, blue and yellow balls   1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator   = 11 / 24 , add numerators   The fraction of white balls is given by   24 / 24 - 11 / 24 = 13 / 24   So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then   (13 / 24) of x = 26 balls   or (13 / 24) * x = 26   x = 26 * (24 / 13)= 
26 * (24 / 13) = 48
48 , total number of balls   The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by   (1 / 8) of 48= 6 balls. correct answer 6 balls.
Answer: E
Each employee of Company X is a member of precisely 1 of 3 shifts of employees. Among the 60 members of the first shift, 20 percent participate in the pension program; among the 50 members of the second shift, 40 percent participate in the pension program; and among the 40 members of the third shift, 10 percent participate in the pension program. What percent of the workers at Company X participate in the pension program?  Pick one
A) 20%
B) 24%
C) 36%
D) 37.5%
E) 70%

Solution: 60 members & 20 percent = 12   50 members & 40 percent = 20   40 members & 10 percent = 4   => 36/150∗100 = 24%   Answer 24%
Answer: B
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 2/5 of the juniors is equal to 1/3 of the seniors, what fraction of the students in the room are juniors?  Select.
A) 3/20	B) 1/3	C) 5/12	D) 12/17	E) 5/11

Solution: Let total number of juniors= J   total number of seniors =S   (2/5) J = (1/3) S   => S = 6/5 J   Total number of students = J+S = (11/5) J   Fraction of the students in the room are juniors = J/(J+S) = J/[(11/5) J]   =5/11   Answer 5/11
Answer: E
A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job? Choose the correct choice:  A) 76 days  B) 21 days  C) 97 days  D) 45 days  E) 97 days

Solution: WC = 1:2   2x + x = 1/14 => x = 1/42   2x = 1/21 => 21 days   Answer:21 days
Answer: B
The total of the ages of Jayant,Prem and Saransh is 93 years.Ten years ago,the ratio of their ages was 2:3:4.What is the present age of Saransh ?
Choose the most appropriate option
A) 24 years B) 32 years C) 34 years D) 38 years E) None of these

Solution: Solution   Let the ages of Jayant,Prem and Saransh 10 years ago be 2x,3x and 4x years respectively.   Then,(2x +10)+ (3x +10) +(4x +10)= 93 ⇔ 9x = 63 ⇔ x =7.   ∴ Saransh's present age = (4x +10)=38 years. Answer 38 years
Answer: D
A copy machine, working at a constant rate, makes 25 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Choose the correct choice from the following:  A) 90  B) 2,400  C) 4,500  D) 5,400  E) 324,000

Solution: Together the two machines make 25+55= 
25+55 = 80
80 copies per minute. So, in half an hour they will make 80*30=2,400 copies.   Answer: 2,400.
Answer: B
3,7,12,18,25,33,..............7th terms	Options
A) 43  B) 42  C) 63  D) 65  E) 78

Solution: 3+4= 
3+4 = 7
7   7+5= 
7+5 = 12
12   12+6= 
12+6 = 18
18   18+7= 
18+7 = 25
25   25+8= 
25+8 = 33
33   33+9= 
33+9 = 42
42   ANSWER:42
Answer: B
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 24 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?  Choose the correct option:	A) 64	B) 72	C) 86	D) 98	E) 101

Solution: Use the options.   The options which after getting added to 24 shows a cube of a number could be right.   Here    64+24= 
 64+24 = 88
88   72+24= 
72+24 = 96
96   86+24= 
86+24 = 110
110   98+24= 
98+24 = 122
122   101+24= 
101+24 = 125
125 ---(5*5*5)   So we have 101 as the answer!   101
Answer: E
If a function f is defined by f(x)= (2x-1)/3 for all non zero numbers x. If f(a) = 1 and f(ab) = 1/9 then b= ? Choose the correct choice from the following answers:
A) 3  B) 1/3  C) -1/3  D) -3  E) -12

Solution: Given that f(x)= (2x-1)/3 and f(a) = 1, then f(a) =(2a-1)/3=1 ===> a=2, then backsolve using the answer choices:   f(ab) = f(2b) = 1/6   A) 3 ===> f(2*3) = f(6) = (12-1)/3 = 11/3   1/3) 1/3 ===> f((2*1/3) = f(2/3) = (4/3-1)/3 = 1/9 WINS   C) -1/3 ===> f(2*-1/3) = f(-2/3) = (-4/3-1)/3 = -7/9   D) -3 ===> f(2*-3) = f(-6) = (-12-1)/3 = -13/3   E) -12 ===> f(2*-12) = f(-24) = (-24-1)/3 = -25/3   Answer: 1/3
Answer: B
A small company reduced its faculty by approximately 13 percent to 263 employees. What was the original number of employees?  Select.
A) A)182  B) B)208  C) C)220  D) D)224  E) E)302

Solution: If x is the original number of employees, then after 13% reduction in employees number is .87x   but we are given .87x = 263   x = 302   So the original number of employees is 302   Correct Answer - 302
Answer: E
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?	Choices
A) 221.8 B) 127.5 C) 881.2 D) 223.1 E) 122.5

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 600 m, the number of meters by which A beats C= (600 * 212.5)/1000= 
(600 * 212.5)/1000 = 127.5
127.5 m.Answer:127.5
Answer: B
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and 1. What is one possible value of a ?
Choose the correct choice from the following answers.
A) 25	B) 3	C) 4	D) 1	E) 8

Solution: -3*a^2=3(3a+1)   a= -1 or -1   a=-1=B   ANSWER:1
Answer: D
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 7? Choose the correct choice from the following answers.
A) 3/8  B) 1/16  C) 1/8  D) 1/2  E) 1/4

Solution: There are 16 possible outcomes but only one outcome (2222) has a sum greater than 7.   P(the sum is greater than 7) = 1/16   The answer is 1/16.
Answer: B
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Pick one.
A) 7 liters
B) 15 liters
C) 10 liters
D) 9 liters
E) 19 liters

Solution: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.   ANSWER:10 liters
Answer: C
The compound interest on Rs.30,000 at 7% per annum is Rs. 4347. The period (in years) is: Choose the correct choice from the following choices.
A) 2  B) 2 ½  C) 3  D) 4  E) 3 ½

Solution: Amount = Rs. (30000 + 4347) = Rs. 34347.   Let the time be n years.   Then, 30000 (1 + 7/100)^n = 34347   (107/100)^ n = 34347/30000 = 11449/10000 = (107/100)^2   So the period is 2 years.   2NSWER:2
Answer: A
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,000, what is the bonds face value? Choose the correct choice.
A) $6,000	B) $6,750	C) $7,425	D) $7,200	E) $9,375

Solution: Interest = 0.05*face value = 0.04*9,000 --> face value = 0.04*9,000/0.05 = 7,200.   Answer: $7,200.
Answer: D
A work which could be finished in 7 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Options
A) 22  B) 20  C) 60  D) 71  E) 11

Solution: x ------- 7   (x + 10) ---- 6   x * 7 = (x + 10)6   x = 60   \Answer: 60
Answer: C
A basket contains 6 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple? Choose the correct answer:
A) 1/2  B) 1/3  C) 1/4  D) 1/5  E) 1/6

Solution: The total number of ways to choose 2 apples is 6C2 = 15   The number of ways that include the spoiled apple is 5C1 = 5   P(the spoiled apple is included) = 5/15 = 1/3   The answer is 1/2.
Answer: A
The number of all possible selections of one or more questions from 10 given questions, each question having one alternative is Answers.
A) 3 10 B) 2 10 – 1 C) 3 10 – 1 D) 2 10 E) None of these

Solution: Since each question can be selected in 3 ways, by selecting it or by selecting its alternative or by rejecting it. Thus, the total number of ways of dealing with 10 given questions is 310 including a way in which we reject all the questions.   Hence, the number of all possible selections is 3 10 – 1.   Answer 3 10 – 1
Answer: C
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	Pick
A) 277	B) 278	C) 245	D) 278	E) 251

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time   = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30   = 25/2 => 2(130 + x)   = 750 => x   = 245 m   Answer: Option C   Explanation:   Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer:245
Answer: C
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? Choices:
A) 11292
B) 31292
C) 11392
D) 11750
E) 11729

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 5000   470 ---- ?=> 11750   Answer: 11750
Answer: D
In one hour,a boat goes 13 km along the stream and 5 km against the stream.The speed of the boat in still water (in km/hr) is :	Select the correct option:
A) 3  B) 5  C) 8  D) 9  E) 10

Solution: Solution   Speed in still water =1/2(13+5)kmph.= 9 kmph. Answer 9
Answer: D
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-4)(x+10)(2x-5) = 0?  Choose one: A) 1/12 B) 1/6 C) 1/4 D) 1/3 E) 1/2

Solution: Roots of the equation (x-5)(x+10)(2x-5)=0 are x=4,x=-10andx=5/2=2.5. So, three solutions present in our set of 12 distinct numbers, therefore P=3/12=1/4.   Answer: 1/4.
Answer: C
A number is doubled and 9 is added. If the resultant is trebled, it becomes 69. What is that number?	Choose the correct choice.
A) 3.5  B) 6  C) 8  D) 7  E) 4

Solution: Let the number be x. Then,   3(2x + 9) = 69   2x = 14 => x = 7   ANSWER:7
Answer: D
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 75% profit on the first article and 75% loss on second article. Find the net profit or loss percent? Choose the correct choice from the following.
A) 200
B) 768
C) 276
D) 750
E) 279

Solution: Profit on first article = 75% of 1000 = 750.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   Answer: 750
Answer: D
If the day before yesterday was Thursday, when will Sunday be?	Choose the correct option.
A) Day after tomorrow
B) Tomorow
C) Two days after today
D) Today
E) none

Solution: Explanation:   Day before yesterday was Thursday   =>Yesterday was a Friday   => Today is a Saturday   => Tomorrow is a Sunday   Answer: Option Tomorow
Answer: B
Ms. Lily sold two properties, X and Y, for $26,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ? Select the correct option:
A) $2166.67
B) $2226.67
C) $2326.67
D) $2426.67
E) $2526.67

Solution: There is a property to solve such questions withCommon Selling PriceandCommon %gain and loss. such cases always result in a loss and...   Total %Loss = (Common Gain% or Loss%/10)^2   Hence Here Loss% = (20/10)^2 = 4%   which means he recovered only 96% of his investment which amount to a total revenue = 26000 + 26000= 
26000 + 26000 = 52_000
52000   i.e. 96% of cost= 52000   therefore, 4% of cost (Loss) = $2166.67   $2166.67nswer: $2166.67
Answer: A
A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?	Choose the correct choice from the following answers:	A) 65	B) 81	C) 82	D) 56	E) Cannot be determined from the information given.

Solution: Avg points for total of 7 games = 50   So A+B+C+56+E+F+G/7=50   and A+B+C+56+E+F+G = 350   Given A+B+C+56+E = 238   So F+G = 112   So average (arithmetic mean) number of points scored over the last two games is  112/2= 
 112/2 = 56
56   Correct answer is 56) 56
Answer: D
In the graph below, no axes or origin is shown. If point B's coordinates are (11,3), which of the following coordinates would most likely be A's? Choose the correct choice from the following options:
A) (17, -2)
B) (10, 6)
C) (6, 8)
D) (-10, 3)
E) (-2, -17)

Solution: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.   (-10, 3) rules..
Answer: D
A student travels from his house to school at 12 km/hr and reaches school 2 hours late. The next day he travels 20 km/hr and reaches school 1 hour early. What is the distance between his house and the school?	Pick one: A) 90 B) 100 C) 110 D) 120 E) 130

Solution: Let x be the distance from his house to the school.   x/12 = x/20 + 3   5x = 3x + 180   2x = 180   x = 90 km   The answer is 90.
Answer: A
In how many ways can 6 people be seated at a round table if one of those seated cannot sit next to 2 of the other 5?	Choose the most appropriate option
A) 720
B) 120
C) 108
D) 84
E) 48

Solution: 6 People in a round table can be seated in (6 - 1) ! ways = 120.   Now we need to subtract the number of cases when one of those is sitting next to 2 of the other 5.   We can consider as if 5 people are sitting in a row because it is round table.   Again consider 3 people, those who can not sit together, as a single unit â€“   So the possible arrangements among remaining people 5 â€“ 3 + 1 Unit are = 3 !   And the 3 people unit can arrange among themselves in 3 ! ways.   So the possible cases when one of those is sitting next to 2 of the other 5 = 3 ! * 3 ! = 36   Total possible cases = 120 -36= 
120 -36 = 84
84 ANS:84
Answer: D
64 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? Choose the correct choice from the following answers:
A) 66
B) 26
C) 42
D) 28
E) 11

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 64= 
7/16 * 64 = 28
28   Answer: 28
Answer: D
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choose the correct choice from the following options:
A) 150 m B) 200 m C) 350 m D) 400 m E) 300 m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   ANSWER:350 m
Answer: C
There are 8 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.	Options:	A) 53	B) 54	C) 55	D) 56	E) 57

Solution: First of all you should remember that there is a difference in left and right sock.   now no. of way to select any of the sock = 8   and for second = 7   so total methods = 8*7= 
8*7 = 56
56   ANSWER:56
Answer: D
Arjun started a business with Rs. 10,000 and is joined afterwards by Anoop with Rs.40, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?  Choose the correct choice from the following choices.
A) 3
B) 4
C) 5
D) 6
E) 9

Solution: Suppose Anoop joined after 3 months.   Then, 10000 * 12 = 40000 * (12 – x)   => x = 9.   ANSW9R:9
Answer: E
Of the diplomats who attended a summit conference: 20 spoke Spanish, 32 did not speak Russian and 20% of the diplomats spoke neither Spanish nor Russian. If 10% of the diplomats spoke both Spanish and Russian, then how many diplomats attended the conference?  Choose one:
A) 70  B) 96  C) 108  D) 120  E) 150

Solution: 2X2 matrix will be the easiest way to calculate this.   Text in black: given statements   Text in red: calculated values   Thus 120=120 is the correct answer
Answer: D
If |x^2 − 42| = x, which of the following could be the value of x?  Choose the correct choice from the following answers:
A) –7 B) –6 C) 2 D) 6 E) 14

Solution: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.   First, let's assume that x^2-42 is negative.   -(x^2 - 42) = x   x^2 + x - 42 = 0   (x+7)(x-6) = 0   x = 6 or x = -7 (However, x can not be negative.)   Then x = 6 is a possible value for x.   The answer is 6.
Answer: D
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
Choose the correct choice:
A) 600
B) 700
C) 800
D) 900
E) None of these

Solution: Explanation :   Let P's capital = p, Q's capital = q and R's capital = r   Then   4p = 6q = 10r   => 2p = 3q = 5r   =>q = 2p/3   r = 2p/5   P : Q : R = p : 2p/3 : 2p/5   = 15 : 10 : 6   R's share = 4650 * (6/31) = 150*6= 
150*6 = 900
900. Answer : Option 900
Answer: D
What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.	Choose the correct choice from the following choices:
A) I alone sufficient while II alone not sufficient to answer
B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer
D) Both I and II are not sufficient to answer
E) Both I and II are necessary to answer

Solution: Explanation:   We know that, R =( 100 xS. I / P x T )   Now, I gives, S.I. = Rs. 4000.   II gives, T = 4 years.   But, P is unknown. So, we cannot find R.   So, given data is insufficient to get R.   answer is (Both I and II are not sufficient to answer).
Answer: D
A box contains THIRTEEN bulbs out of which 6 are defective. If FIVE bulbs are chosen at random, find the probability that atleast one bulb is good	Choose the most appropriate option:
A) 455/451 B) 428/421 C) 427/429 D) 456/489 E) 423/127

Solution: Required probability = 1-6427/4295/13427/4295 = 1 - 2/429 = 427/429.Answer:427/429
Answer: C
A is twice as good a workman as B and they took 11 days together to do the work B alone can do it in.  Choices:
A) 17 days B) 12 days C) 29 days D) 25 days E) 33 days

Solution: WC = 2:1   2x + x = 1/11   x = 1/33 => 33 days   ANSW33 daysR:33 days
Answer: E
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/7 hours to fill the tank. The leak can drain all the water of the tank in?
Choices
A) 17 hr  B) 19 hr  C) 10 hr  D) 24 hr  E) 30 hr

Solution: Work done by the tank in 1 hour   = (1/2 -2 1/7)   = 1/30 Leak will empty the tank in 30 hrs.   Answer:30 hr
Answer: E