MU-NLPC/Calc-aqua_rat huggingface dataset:
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?	Choose the correct choice:	A) 8 hours	B) 10 hours	C) 12 hours	D) 24 hours	E) none of the above

Solution: A's 1 hour's work = 1/4 ;   (B + C)'s 1 hour's work = 1/3 ;   (B + C)'s 1 hour's work = 1/2   (A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12   B's 1 hour's work = (7/12 - 1/2) = 1/12   B alone will take 12 hours to do the work.   Answer = 12 hours
Answer: C
What is the sum of natural numbers between 60 and 100
Choose one.
A) 4800
B) 4860
C) 5000
D) 5500
E) 3280

Solution: a = first number   l = last number   Sn = n/2[a + l]   between 60 and 100 numbers = 41 => 100 - 60= 
100 - 60 = 40
40 + 1= 
40 + 1 = 41
41   Sn= 41/2 Ã— 160 = 41 Ã— 80 = 3280   Answer : 3280
Answer: E
he total marks obtained by a student in Physics, Chemistry and Mathematics is 130 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Options
A) 55
B) 65
C) 75
D) 85
E) 95

Solution: Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.   P + C + M = 130 + P   C + M = 130   Average mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 130/2= 
130/2 = 65
65.   ANSWER:65
Answer: B
A table is bought for Rs.400/- and sold at Rs.300/- find gain or loss percentage Choose the correct choice from the following choices:
A) 25% loss
B) 20% gain
C) 20% loss
D) 15% gain
E) None

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (300 - 400)/400 = 25% loss   25% loss
Answer: A
Joseph Paul and his friend went for fishing.
They got six fishes without heads, nine fishes without the tail and eight fishes cut in two halves.
How many fishes did they caught ?  Choose the correct choice:
A) 0  B) 4  C) 1  D) 7  E) 5

Solution: 0   6 without head => 0   9 without tail => 0   8 in two halves => 0 & 0
Answer: A
If 40% of a certain number is 160, then what is 60% of that number?	Choose the correct choice from the following answers: A) 270 B) 380 C) 260 D) 360 E) 240

Solution: 240xplanation:   40% = 40*4= 
40*4 = 160
160   60%= 60*4= 
60*4 = 240
240   Answer: Option 240
Answer: E
Working simultaneously and independently at an identical constant rate, 6 machines of a certain type can produce a total of x units of product P in 10 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5x units of product P in 6 days?
Choose the correct option.
A) 50	B) 18	C) 16	D) 12	E) 8

Solution: 6 machines do x units in 10 days   we have x/10 => rate of the 6 machines   we know that we need to have 5x units in 6 days   therefore, we need to get to 5x/6 rate of the machines.   rate of one machine is x/10*1/6 = x/60.   now, we need to know how many machines need to work simultaneously, to get 5x done in 6 days.   5x/6 work needs to be done by machines that work at x/60 rate.   let's assign a constant Y for the number of machines:   (x/60)*y = 5x/6   y = 5x/6 * 60/x   cancel 6 with 60, and x with x and get -> 50. 50nswer choice 50
Answer: A
Find the least number must be subtracted from 11070 so that remaining number is divisible by 22. Select:
A) 2
B) 3
C) 4
D) 7
E) 8

Solution: On dividing 11070 by 22 we get the remainder 4, so 4 should be subtracted. 2nswer is 2.
Answer: A
The perimeter of one face of a cube is 28 cm. Its volume will be:
Choose the most appropriate option:
A) 125cm3 B) 343cm3 C) 250cm3 D) 625cm3 E) None of these

Solution: Explanation:   Edge of cude = 28/4= 
28/4 = 7
7 cm   Volume= a*a*a = 7*7*7= 
7*7*7 = 343
343 cm cube   Option 343cm3
Answer: B
If a2 + b2 + c2 = 213 and ab + bc + ca = 6, then a + b + c is	Choose the correct choice from the following choices:
A) 14	B) 20	C) 15	D) 32	E) 64

Solution: by formula ,   (a + b + c)^2= a^2 + b^2 + c^2 + 2(ab + bc + ca),   since, a^2 + b^2 + c^2 = 213 and ab + bc + ca = 6,   (a + b + c)^2 = 213 + 2(6)   = 225   = 15^2   therefore: a + b + c = 15   ANSWER:15
Answer: C
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 20 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)? Pick one.
A) 16 km/hr
B) 20 km/hr
C) 24 km/hr
D) 28 km/hr
E) 32 km/hr

Solution: Let the speed of the slower train be x m/s   Then, the speed of the faster train is 2x m/s   The relative speed is 3x m/s   (100 + 100)/20 = 3x   x = 10/3 m/s   So, the speed of the faster train is 20/3 = 20/3 * 18/5= 
20/3 * 18/5 = 24
24 km/hr   The answer is 24 km/hr.
Answer: C
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Options:	A) 2:5	B) 1:5	C) 3:5	D) 4:5	E) 6:5

Solution: The volume of the cone = (1/3)Ï€r2h   Only radius (r) and height (h) are varying.   Hence, (1/3)Ï€ may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2 : 5   2:5NSWER 2:5
Answer: A
In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
Pick:
A) 10  B) 11  C) 12  D) 14  E) 15

Solution: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.   Given (x + 2) + (x + 10) = 24   => 2x + 12 = 24 => x = 6   The fourth number = x + 6= 
+ 6 = 6
6 + 6= 
6 + 6 = 12
12.   12
Answer: C
In the manufacture of a certain product, 4 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?	Choose the most appropriate option.
A) 0.125% B) 0.2% C) 0.16% D) 1.25% E) 2.0%

Solution: Percent of defective produced = 4%   Percent of the defective units that are shipped for sale = 4%   Percent of units produced are defective units that are shipped for sale = (4/100)*(4/100)*100%   = (16/10000)*100%   = (16/100)= 
(16/100) = 4/25 = around 0.16
.16 %   Answer 0.16%
Answer: C
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/4 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?	Choose the correct answer: A) 3/4 B) 11/15 C) 7/10 D) 1/6 E) 2/15

Solution: 1/5 -- cable TV (This includes some data from video cassette recorder)   1/10 -- video cassette recorder including 1/4(equiped with cable tv) i.e. 1/4(1/5) = 1/20   therefore only video cassette recorder = 1/10 - 1/20 = 1/20   Total = 1/5+1/20+neither cable tv nor videocassette recorders   1 = 1/4 + neither cable tv nor videocassette recorders   therefore neither cable tv nor videocassette recorders = 1-1/4 = 3/4   Hence 3/4.
Answer: A
The time on a clock is 20 minutes past 7. What is the angle between the hands of the clock?  Select the correct option
A) 60 degrees	B) 100 degrees	C) 80 degrees	D) 50 degrees	E) 120 degrees

Solution: The hour hand rotates 360 degrees in twelve hours.   The hour hand rotates 30 degrees in one hour.   The hour hand rotates 5 degrees in ten minutes.   At this time, the hour hand has rotated 220 degrees.   The minute hand rotates 360 degrees in 60 minutes, or 60 degrees in ten minutes.   At this time, the minute hand has rotated 120 degrees.   The difference is 220 - 120= 
220 - 120 = 100
100 degrees.   The answer is 100 degrees.
Answer: B
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choose the most appropriate option.
A) 1677	B) 1683	C) 2523	D) 3363	E) 3478

Solution: L.C.M. of 5, 6, 7, 8 = 840.   Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   Required number = (840 x 2 + 3) = 1683. Answer: Option 1683
Answer: B
On a summer camp, 25% of the campers paid $110 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80? Choose the correct choice from the following options.
A) 18%  B) 21%  C) 33.35  D) 33.3%  E) 37.5%

Solution: let the total no of campers be 100   total amount = (25*110)+(35*80)+(40*65) = 2750+2800+2600= 
2750+2800+2600 = 8_150
$8150   required percentage= (2800/8150)*100=33.35%   33.35
Answer: C
If there are 8 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group? Select
A) 32 B) 24 C) 56 D) 448 E) 540

Solution: Firstly, there are 8 ways to choose 3 groups from the 4 groups. Hence 8C3.   Next, with the 3 groups chosen, there are 2^3 choices of choosing either one of the siblings.   Hence, the total number of ways are 8C3 * (2^3) = 448   448
Answer: D
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle? Choose the correct choice from the following choices.
A) 432 sq m B) 356 sq m C) 300 sq m D) 428 sq m E) 525 sq m

Solution: 2(3x + x) = 80   l = 30 b = 10   lb = 30 * 10= 
30 * 10 = 300
300   ANSWER:300 sq m
Answer: C
The sum of present age of Abe and the age before 7 years is 37. Find the present age of Abe. What will be his age after 7 years?
Pick:
A) 25  B) 26  C) 27  D) 28  E) 29

Solution: Present age = x   Before 7yrs, y=x-7   After 7yrs, z=x+7   By the qn,   x+(x-7)=37   2x-7=37   2x=37+7= 
37+7 = 44
44/2= 
44/2 = 22
22   z=x+7   =22+7= 
22+7 = 29
29   ANSW29R:29
Answer: E
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 65 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Choose the correct choice from the following options: A) 50% B) 47% C) 54% D) 55% E) 57%

Solution: Registered voters = 100   D = 60   R = 40   65% of D ( 60) = 39   20% of R ( 40 ) = 8   Total voter% of registered voters = 47 / 100   47% Ans 47%
Answer: B
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choose the correct choice from the following choices:  A) 9 1/4 min  B) 11 1/4 min  C) 7 1/4 min  D) 8 1/2 min  E) 9 1/2 min

Solution: 3/12 + x/15 = 1   x= 11 1/4   ANSWER:11 1/4 min
Answer: B
A furniture manufacturer has two machines, but only one can be used at a time. Machine F is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine F can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?  Select.
A) 14  B) 13  C) 11  D) 9  E) 7

Solution: 'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days.   To finish a work say Machine F you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=9
Answer: D
There are 30 children in a classroom, each student will get 1 dozen pencils and 2 dozen erasers, there are 6 teachers. how many pencils will each teacher have to give out to each student? Choices:
A) 6
B) 4
C) 3
D) 2
E) 5

Solution: Each student is supposed to get 12 pencils and there are 6 teachers. 6 x 2 is 12. With each teacher giving out 2 pencils to each student, each student will then get 12 pencils like they are supposed to. The answer is 2.
Answer: D
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Select.
A) 400
B) 625
C) 1,250
D) 2,500
E) 10,000

Solution: total fish = x   percentage of second catch = (2/50)*100= 
(2/50)*100 = 4
4%   so, x * 4%= 50   x = 1250   ANSWER:1,250
Answer: C
There are, in a certain league, 20 teams, and each team face another team for a total of 4 times. How many games are played in the season? Choices.
A) 450 B) 760 C) 110 D) 180 E) 400

Solution: By using the formula, t[n(n - 1) / 2], where t = no. of games between two teams and n = total no. of teams, we get: 760   Option 760.
Answer: B
The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 40% more than the price of the other, what is the price of each of these two oranges?	Select the correct option:	A) Rs 5, Rs 7.50	B) Rs 8, Rs 12	C) Rs 10, Rs 16	D) Rs 10.8, Rs 15.2	E) None of these

Solution: Explanation :   Total price of the two oranges = Rs. [(12 x 10) (11.75 x 8)]   = Rs. (120 - 94) = Rs. 26.   Let the price of one orange be Rs. x.   Then, the price of other orange = Rs. (x + 40% of x) = Rs. x + x2/5 = Rs. 7x/5   So, x + 7x/5 = 26   12x = 130   x = 10.8   The prices of the two oranges are Rs. 10.8 and Rs. 15.2   Answer : Rs 10.8, Rs 15.2
Answer: D
On a map, 2 inches represent 30 miles. How many miles approximately is the distance if you measured 38 centimeters assuming that 1-inch is 2.54 centimeters?  Choose the correct choice from the following answers.
A) 226 B) 228 C) 230 D) 224 E) 232

Solution: 1 inch = 2.54 cm   2 inch = 2.54 * 2 cm   5.08 cm = 30 miles   38 cms = 30/5.08*38 = 224 miles   Answer : 224
Answer: D
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?  Choose the correct answer
A) Rs. 460  B) Rs. 484  C) Rs. 550  D) Rs. 664  E) Rs. 764

Solution: Explanation:   4/15A=2/5B   A=(2/5X15/4)B   A/B=3/2   A:B=3:2   B's share = Rs.(1210X2/5)= Rs. 484.   ANSWER IS Rs. 484
Answer: B
A Sum at compound interest amounts to Rs.7500 in 2 years and to Rs.9000 in 3 years then rate per annum is Choose the correct choice from the following:
A) 11%
B) 12%
C) 15%
D) 20%
E) 22%

Solution: 1500/7500 *100= 
1500/7500 *100 = 20
20%   ANSWER:20%
Answer: D
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Choose the correct choice from the following answers.
A) 12	B) 32	C) 42	D) 52	E) 58

Solution: required area = 14*14 - (4 * 1/4 * 22/7 * 7 *7) sq cm   = 196 - 154= 
196 - 154 = 42
42 sq cm. Answer: 42
Answer: C
If the price of an article went up by 15%, then by what percent should it be brought down to bring it back to its original price?  Choose the correct choice.
A) 17.39%  B) 2/8%  C) 2/1%  D) 1/3%  E) 2/7%

Solution: Let the price of the article be Rs. 100.   15% of 100 = 15   New price = 100 + 15 = Rs. 115   Required percentage = (115 - 100)/115 * 100   = 20/115 * 100 = 17.39 %.   17.39%nswer:17.39%
Answer: A
Find k if 24 / k = 4. Pick one
A) 6
B) 7
C) 8
D) 4
E) 3

Solution: Since 24 /k = 4 and   24/ 6= 
  24/ 6 = 4
4, then   k= 6 correct answer 6
Answer: A
Find a sum for 1st 4 prime number's?
Choose the correct choice from the following options:
A) 25  B) 17  C) 30  D) 34  E) 36

Solution: Required sum = (2 + 3 + 5 + 7 )= 
(2 + 3 + 5 + 7 ) = 17
17   Note: 1 is not a prime number   Option 17
Answer: B
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Select:
A) 18  B) 17  C) 17  D) 12  E) 13

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   Answer: 12
Answer: D
The population of a city increases by 7% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years? Choose one:  A) 9%  B) 9.10%  C) 27%  D) 12%  E) None of these

Solution: Actual increase in population=6%   Let, earlier population=100 then the population after 3 years   =100(1+6/100)^3=119.1016   ∴Required percentage=9.1016%   ANSWER:9.10%
Answer: B
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 5 and peanut cookies in batches of 6. If he makes exactly 94 cookies, what is the minimum number of chocolate chip cookies he makes? Options
A) 7	B) 14	C) 21	D) 28	E) 40

Solution: 5C+6P=94   We need to maximize P to minimize C so that the eq is also satisfied   Try substitution for CP to solve so that eqn is satisfied   The least value of C for which equation gets satisfied is 5   i.e. 5*8+6*9=40+54= 
40+54 = 94
94   Hence 40 is the answer
Answer: E
A bag contains 9 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?  Choose the most appropriate option
A) 1/4 B) 2/9 C) 3/11 D) 4/19 E) 5/26

Solution: Total possible ways to choose three scarves is 9C3 = 84   We need to choose the red scarf and two of 7 other scarves (not the green scarf).   The number of successful possibilities is 7C2 = 21   P(red scarf but not green scarf) = 21/84 = 1/4   The answer is 1/4.
Answer: A
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choose the correct choice from the following.
A) 50 Kmph B) 45 Kmph C) 54 Kmph D) 56 Kmph E) 60 Kmph

Solution: Time = 6   Distence = 540   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 540/9= 
540/9 = 60
60 Kmph   60 Kmph
Answer: E
4 Women & 6 men have to be seated in a row given that no two women can sit together. How many different arrangements are there.
Choose the correct choice from the following answers:	A) 6! x 7P4	B) 6! x 9P4	C) 6! x 5P4	D) 6! x 3P4	E) 6! x 2P4

Solution: Let us first sit all the 6 men in 6 positions in 6! ways. Now there are 7 gaps between them in which 4 women can sit in 7P47P4 ways.   So total ways are 6! x 7P4   6! x 7P4nswer:6! x 7P4
Answer: A
n the youth summer village there are 150 people, 75 of them are not working, 50 of them have families and 100 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choose one: A) 25. B) 50. C) 75 D) 100 E) 150

Solution: total =150   not working =75   having family=50   like to sing in shower = 100   working=150-75= 
150-75 = 75
75   not having family= 150-50= 
150-50 = 100
100   like to sing in shower= 100   largest possible number is the lowest possible among the above   ANSWER:75
Answer: C
A metallic sheet is of rectangular shape with dimensions 46 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices: A) 4830 B) 5120 C) 6420 D) 4800 E) 8960

Solution: l = (46 - 16)= 
(46 - 16) = 30
30 m,   b= (36 -16)= 
(36 -16) = 20
20 m,   h= 8 m.   Volume of the box = (30 x 20 x 8) m3 = 4800 m3.   Answer: Option 4800
Answer: D
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? Pick: A) 3 : 5 : 2 B) 3 : 5 : 5 C) 6 : 10 : 5 D) 6 : 11 : 2 E) Data inadequate

Solution: Let the initial investments of A and B be 3x and 5x.   A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.   Answer:6 : 10 : 5
Answer: C
Truck X is 13 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?  Choose the correct answer:
A) 2 hours
B) 2 hours 20 minutes
C) 2 hours 30 minutes
D) 2 hours 45 minutes
E) 3 hours

Solution: Relative speed = 53-47= 
53-47 = 6
6 miles per hour   Dist required= 13+5= 
13+5 = 18
18 miles   Time taken to overtake= 18/6= 
18/6 = 3
3 hours.   3 hours is the answer.
Answer: E
The G.C.D. of 1.08, 0.36 and 0.6 is?
Select.
A) 0.03
B) 0.9
C) 0.18
D) 0.12
E) none of these

Solution: Given numbers are 1.08,0.36 and 0.60.   H.C.F of 108, 36 and 60 is 12   H.C.F of given numbers=0.12.   Correct Options:0.12
Answer: D
Statement : A man must be wise to be a good wrangler. Good wranglers are talkative and boring.
Conclusions :
I. All the wise persons are boring.
II. All the wise persons are wranglers.  Choose the most appropriate option.
A) Only conclusion I follows B) Only conclusion II follows C) Either I or II follows D) Neither I nor II follows E) Both I and II follow

Solution: Explanation:   Neither I nor II follows.   Neither I nor II follows)
Answer: D
Q-1) Of the 84 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 22 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments?
Choose the correct choice from the following choices
A) 25	B) 36	C) 38	D) 42	E) 45

Solution: i used the following formula: total = group1 + group2 + neither - both   using the information from the question stem, we have:   84 total people   35 who supervise (group1)   x who neither supervise nor bring refreshments   1.5x people who bring refreshments (group2)   22 who supervise AND bring refreshments (both)   therefore...   84 = 35 + 1.5x + x - 22   solving, we get x = 28   since we want the value of those who bring refreshments AN42 supervise:   1.5(28) = 42   answer is 42
Answer: D
A bag contains 3 red, 4 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options
A) 2/15  B) 2/21  C) 3/55  D) 3/29  E) 4/27

Solution: P(Both are red),   =33/552113/552=33/552113/552   =3/55   3/55
Answer: C
If a quality control check is made inspecting a sample of 2 light bulbs from a box of 11 lighbulbs, how many different samples can be chosen?
Answers: A) 6 B) 24 C) 55 D) 66 E) 72

Solution: Try using the formula for combinations:   n!/r!(n-r)!   11!/2!(11-2)!   11!/2!*9!    11*10/2*1= 
 11*10/2*1 = 55
55   55
Answer: C
Wane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour? Select the correct option:	A) 1 hour 45 minutes	B) 2 hours	C) 2 hours 30 minutes	D) 3 hours	E) None of these

Solution: Wane covered a distance of 340 miles between city A and city B taking a total of 5 hours.time taken at 60:time taken at 80::(greater speed-average speed):(average speed-lower speed)   average speed is   340/5= 
  340/5 = 68
68   That gives the answer 3:2=3 hours
Answer: D
Can anyhow help me with an easy solution for this
3, 4, 100, 5, 4, 144, 7, 3, ? Choose the correct choice from the following answers:
A) 144  B) 265  C) 276  D) 225  E) 169

Solution: 3, 4, 100, 5, 4, 144, 7, 3, ?     3+4= 
  3+4 = 7
7 and   7+3= 
  7+3 = 10
10 and 10^2=100   5+4= 
5+4 = 9
9 and   9+3= 
  9+3 = 12
12 and 12^2=144   7+3= 
7+3 = 10
10 and   10+3= 
  10+3 = 13
13 and 13^2=169   ANSW169R:169
Answer: E