MU-NLPC/Calc-aqua_rat huggingface dataset:
A football matches has been organized in such a fashion, every participating team plays a match against every other team once and only once.
If 36 matches are totally played, how many teams participated?	Select.
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: For a match u need 2 teams.   Suppose there are totally 'n'teams.   Now we have to choose 2 teams out of 'n' teams.   nC2 = 36;   Solve to get n=9.   n(n-1)/2 = 36   9(9-1)/2 = 36   9(8)/2 = 36   72/2= 
72/2 = 36
36   So, answer is 9 If 36 matches are totally played.   ANSWER:9
Answer: C
A sum of salary is distributed among A,B,C,D in the proportion of 2:3:4:6. If D gets $700 more than C, what is the B's share? Choose the correct option.
A) $1050 B) $2500 C) $3000 D) $3400 E) $8000

Solution: Let the shares of $1050,B,C,D are 2x,3x,4x,6x   6x-4x = 700   x = 350   B's share = 3x = $1050   $1050nswer is $1050
Answer: A
A rectangular cube has a volume of 6 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Choose the correct option.
A) 24
B) 48
C) 64
D) 80
E) 100

Solution: Lets say the sides of the rectangular cube are x, y and z. Problem states volume is 6.   i.e,   x*y*z = 6 .   If every side is increased twice as before. then new volume is   2x*2y*2z = 8*(x*y*z)  2 *2 *2= 
 2 *2 *2 = 8
8*(x*y*z)= 8*6= 
8*6 = 48
48.   Answer is 48
Answer: B
Little John had $5.10. He spent $1.05 on sweets and gave to his two friends $1.00 each. How much money was left?	Options.
A) $2.15  B) $2.05  C) $2.45  D) $2.25  E) $2.85

Solution: John spent and gave to his two friends a total of   1.05 + 1.00 + 1.00= 
1.05 + 1.00 + 1.00 = 3.05
$3.05   Money left    5.10 - 3.05= 
 5.10 - 3.05 = 2.05
$2.05   Answer :$2.05
Answer: B
Every person at a birthday party either wants candy or a wants cake, but not both. The ratio of people who want cake to people who want candy is 9 to 6 . If 9 people decided they wanted candy instead of cake, the ratio of people who want cake to people who want candy will be 1 to 1. How many people could be at the party? Choose one:
A) 60
B) 50
C) 90
D) 45
E) Both C and D

Solution: By checking the answer choices:   Since we have an initial ratio of 9:6, the total count should be divisible by 15.   A. 60/15=4, Cake People = 36, Candy People = 24, Since 36-9 is not equal to 24+9 this can not be the answer.   B. Out, Since not divisible by 15.   C. 90/15=6, Cake People = 54, Candy People = 36, Since 54-9 is equal to 36+9, this is the correct answer.   D. 45/15=3, Cake People = 27, Candy People = 18, Since 27-9 is not equal to 18+9 this as well can not be the answer.   E. Since choice D is not correct, choice E is also not correct.   90 is the correct answer.
Answer: C
A man rows his boat 65 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?  Answers
A) 5 kmph B) 4 kmph C) 9 kmph D) 8 kmph E) 1 kmph

Solution: Speed downstream = d/t = 65/(2 1/2) = 26 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (26 - 18)/2= 
(26 - 18)/2 = 4
4 kmph   Answer:4 kmph
Answer: B
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate T, in cubic meters per minutes, at which the water is flowing into the swimming pool?	Options: A) 0.125 B) 0.25 C) 0.5 D) 0.75 E) Not enough information to determine the rate

Solution: The correct answer is E.   There are not enough info to answer the question.   A 840 cubic meters rectangle is built from: height*length*width.   From the question we know the volume of the pool and the filling rate.   A pool can have a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate = Not enough information to determine the rate
Answer: E
A big container is 40% full with water. If 28 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Choices
A) 68 B) 72 C) 76 D) 80 E) 84

Solution: 28 liters is 35% of the capacity C.   28 = 0.35C   C = 28/0.35= 
28/0.35 = 80
80 liters.   The answer is 80.
Answer: D
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 6 sec, then the speed of each train is? Choose the correct choice from the following options.
A) 30  B) 31  C) 72  D) 25  E) 24

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/6 => x = 20   Speed of each train = 20 m/sec.   = 20 * 18/5= 
20 * 18/5 = 72
72km/hr.   Answer: Option 72
Answer: C
In a certain series, each term is m greater than the previous term. If the 19th term is 760 and the 16th term is 700, what is the first term?	Select the correct option: A) 200 B) 300 C) 400 D) 450 E) 500

Solution: a + 18m = 760 (17th term)   a + 15m = 700 (16th term)   You get a = 400 and m = 20   Answer: 400
Answer: C
Working at a constant rate, P can finish a job in 4 hours. Q, also working at a constant rate, can finish the same job in 20 hours. If they work together for 3 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?  Choose the correct choice from the following options
A) 12 B) 15 C) 20 D) 21 E) 24

Solution: Each hour they complete 1/4 + 1/20 = 3/10 of the job.   In 3 hours, they complete 3(3/10) = 9/10 of the job.   The time for P to finish is (1/10) / (1/4) = (2/5) hour = 24 minutes   The answer is 24.
Answer: E
Q-1) Of the 84 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 11 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 3 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) 22
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   3x people who bring refreshments (group2)   11 who supervise AND bring refreshments (both)   therefore...   84 = 35 + 3x + x - 11   solving, we get x = 15.   since we want the value of those who bring refreshments AND supervise:   1.5(15) = 22   answer is 22
Answer: C
A student committee that must consists of 4 members is to be formed from a pool of 8 candidates. How many different committees are possible Choose the correct choice from the following options: A) 5 B) 8 C) 70 D) 56 E) 336

Solution: Out of 8 people, any 4 can be selected for a committee. So 8c4=70 is the answer   70
Answer: C
A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car. Choose the correct answer: A) 55 km/hr. B) 25 km/hr. C) 65 km/hr. D) 35 km/hr. E) 45 km/hr.

Solution: D   35 km/hr.   Time taken = 1 hr 40 min 48 sec = 1 hr 40 4/5 min. = 126/75 hrs.   Let the actual speed be x km/hr.   Then, (5/7)x X 126/75 = 42   --> x = 35 km/hr.
Answer: D
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 280 vote’s majority. What is the total number of votes polled? Choose the correct choice from the following choices.
A) 750  B) 700  C) 800  D) 850  E) None of these

Solution: Explanation:   Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)   40 % = 70 % - 30 %   40% -----> 280 (40*7 = 280)   100% -----> 700 (100*7 = 700)   Answer: Option 700
Answer: B
If $120 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years?
Pick
A) $190  B) $180  C) $200  D) $340  E) $450

Solution: 120 amounts to 240 in 3 years.   i.e (principal + interest ) on 120 in 3 years = 240   120 + 120*(r/100)*(3) = 240 => r = 100/3   150 in 6 years = principal + interest   = 150 + 150*(r/100)*(6)   = 450   Answer is $450.
Answer: E
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 3 less, he would have made a profit of 10%. The C.P. of the article was Choose the correct choice from the following answers:
A) 344	B) 218	C) 200	D) 600	E) 211

Solution: Explanation:   Let original Cost price is x   Its Selling price = (105/100) * x = 21x/20   New Cost price = (95/100) * x = 19x/20   New Selling price = (110/100 )* (19x/20 )= 209x/200   [(21x/20) - (209x/200)] = 3   => x = 600   Answer: 600) Rs 600
Answer: D
Find the least number of five digits which is exactly divisible by 12, 15 and 18?  Choose the correct choice from the following choices.
A) 10080  B) 1080  C) 10025  D) 10050  E) 10024

Solution: LCM = 180   180) 10000 (55   9900   ---------   100   10000 + 180 - 100= 
10000 + 180 - 100 = 10_080
10080   10080NSWER 10080
Answer: A
A sum fetched a total simple interest of $4151.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?  Choose the correct option: A) $8829 B) $2840 C) $6578 D) $7782 E) $8928

Solution: $8928   8928   Principal   = $100 x 4151.25/9 x 5   = $415125/45   = $8928.
Answer: E
You have only 1 kg weight. You have to weight 31kg. Min number of measurements you have to done ?	Choose the correct option:
A) 21R  B) 33R  C) 35R  D) 31R  E) 38R

Solution: You can do it in 5 steps.   1,2,4,8,16   Asume stone as S (Left Side) weight of 1kg as T (Right Side)   Move 1T to the same side as S and, Left Side is S+1T, Now weight 2T   Move 2T to the same side as S and, against S+3T, Now weight 4T   Move 4T to the same side as S and, against S+7T, weight 8T   Move 8T to the same side as S and, against S+15T, weight on right Side is 16T   15R + 16R = 31R.   ANSWER:31R 15  + 16= 
 15  + 16 = 31
31R.   ANSWER:31R
Answer: D
If a tire rotates at 400 revolutions per minute when the car is traveling 168km/h, what is the circumference of the tire?
Choose the correct choice from the following choices:
A) 2
B) 1
C) 7
D) 3
E) 5

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * 7 = 168,000 m : 7 is the circumference   7 = 7 meters   correct answer 7
Answer: C
Every second Saturday and all Sundays are holidays. How many working days will be there in a
month of 30 days beginning on a Saturday?	Pick one:
A) 24
B) 23
C) 18
D) 21
E) 22

Solution: Explanation :   Mentioned month has begins on a Saturday and has 30 days   Sundays = 2nd, 9th, 16th, 23rd, 30th   => Total Sundays = 5   Second Saturdays = 8th and 22nd   Total Second Saturdays = 2   Total Holidays = Total Sundays + Total Second Saturdays = 5 + 2= 
5 + 2 = 7
7   Total days in the month= 30   Total working days = 30 - 7= 
30 - 7 = 23
23   Answer : Option 23
Answer: B
A car runs 10,000 miles using 5 tyres interchangeably. to have equal worn out by all tyres,how many miles each tyre should have run? Select
A) 5000  B) 8000  C) 4000  D) 3000  E) 2000

Solution: for 5 tyres running interchangeably 10,000 miles the car runs   for 1 tyre=10000/5= 
10000/5 = 2_000
2000   as you all know i suppose the car has 4 tyre   to have equal worn out by 4 tyres we need=2000*4= 
2000*4 = 8_000
8000   ANSWER:8000
Answer: B
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.120. How much was lent at 5%?  Select
A) 2333	B) 2777	C) 3000	D) 1000	E) 2871

Solution: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 120   X = 3000   Answer: 3000
Answer: C
January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Select:
A) Monday  B) Tuesday  C) Wednesday  D) Friday  E) Sunday

Solution: The year 2007 is an ordinary year. So, it has 1 odd day.   day of the year 2007 was Monday   day of the year 2008 will be 1 day beyond Monday   Hence, It will be Tuesday. answer : Tuesday
Answer: B
What is 78% of 4/5? Choose one:	A) 6.9	B) 69.0	C) 0.6845	D) 0.624	E) 0.69

Solution: 78%*(4/5)=0.78*0.8= 
0.78*0.8 = 0.624
0.624   Answer :0.624
Answer: D
Addison High School’s senior class has 300 boys and 240 girls. If 30% of the boys did not attend the college then 70% of the total class attended college, what percentage of the girls class did not attend college?  Answers.
A) 70  B) 45  C) 50  D) 46  E) 30

Solution: % of boy attending the college = 100-30= 
100-30 = 70
70%   Number of boys attending the college :  0.70*300= 
 0.70*300 = 210
210   Total people= 300+240= 
300+240 = 540
540   Total number of students attending the college: 0.70*540= 
0.70*540 = 378
378   number of girls attending the college= 378-210= 
378-210 = 168
168   number of girls not attending the college= 240-168= 
240-168 = 72
72   % of girls not attending= 72/240 = 30%. 30 is the correct answer
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 300 resolutions.
Choose the correct choice
A) 421 m B) 422 m C) 423 m D) 424 m E) 425 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 300 resolutions.   = 300 * 2 * 22/7 * 22.4   = 42200 cm   = 422 m   Answer: 422 m
Answer: B
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 4 is	Select
A) 3
B) 7
C) 189
D) 227
E) 234

Solution: In that case, the Sophie prime numbers greater than 5 are 7,11,23,47,59, .. which yields units digit as 1,3,7 and 9   Product would be 1 x 3 x 7x9 =189 Answer should be 189.
Answer: C
Andrew started saving at the beginning of the year and had saved $180 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year? Choose the correct choice from the following.
A) 11% B) 25% C) 44% D) 56% E) 100%

Solution: Percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year.   Percentage Change = ( Change in value / Original value ) * 100   Percentage Change = [ (Saving in 2nd year - Saving in 1st year ) / Saving in 1st year ] * 100   Saving in 2nd year + Saving in 1st year = 540   Saving in 2nd year + 180 = 540   Saving in 2nd year = 540 - 180= 
540 - 180 = 360
360   Change in Value= 360 - 180= 
360 - 180 = 180
180   Original Value= 180   Percentage Increase = (180 / 180 ) * 100= 
(180 / 180 ) * 100 = 100
100%..... Answer 100%......
Answer: E
A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices
A) 95
B) 92
C) 82
D) 88
E) 97

Solution: AREA OF FIEL88 = 680 SQ FEET   LENGTH OF A88J SI88ES 20 FEET AN88 680/20 = 34 FEET   REQ LENGTH OF THE FENCING = 20 + 34 + 34= 
20 + 34 + 34 = 88
88 FEET   ANSWER 88
Answer: D
7 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?	Choose one
A) 30	B) 21	C) 18	D) 15	E) 10

Solution: the formula to count handshakes is n(n−1)2n(n−1)2   Where n is the number of people   => 7(7-1)/2 = 7*6/2 = 42/2= 
42/2 = 21
21=> the answer is 21(21)
Answer: B
A, B and C enter into a partnership by investing $15000, $21000 and $27000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A.
Choose the correct choice from the following
A) $800
B) $900
C) $1000
D) $1100
E) $1200

Solution: The ratio of capital of A, B and C = 15000 : 21000 : 27000 = 5 : 7 : 9   A's share = (5/7)*1540= 
(5/7)*1540 = 1_100
$1100   The answer is $1100.
Answer: D
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Answers: A) 5/21 B) 5/23 C) 5/29 D) 5/12 E) 5/92

Solution: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)   As remaining person can be any one among three couples left.   Required probability   = (5C2 * 6C1)/10C5   = (10 * 6)/252 = 5/21   5/21nswer: 5/21
Answer: A
Create 2 equivalent fractions with the numbers 4, 9, 2, and 18  Choose the correct choice:
A) 2/9 and 5/18
B) 2/9 and 4/18
C) 3/9 and 4/18
D) 2/9 and 6/18
E) None

Solution: Solution:   We're searching for pairs of numbers which, when multiplied, have the same product. We observe that 4 x 9 = 18 x 2 = 36, so the fractions will be 2/9and4/18   Answer 2/9 and 4/18
Answer: B
The average age of 7 men increases by 4 years when two women are included in place of two men of ages 26 and 30 years. Find the average age of the women?	Pick:  A) 42  B) 40  C) 30  D) 18  E) 11

Solution: Explanation:   26 + 30 + 7 * 4= 
26 + 30 + 7 * 4 = 84
84/2= 
84/2 = 42
42   42nswer: 42
Answer: A
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 17 percent sugar by weight. The second solution was what percent sugar by weight?  Choose the correct choice from the following choices
A) 34%  B) 24%  C) 22%  D) 38%  E) 8.5%

Solution: Instead of using complex calculations and remembering formulae, why dont u directly get to weighted average.   3 parts of 10% + 1 part of x (unknown) % = 4 parts of 17%   => x% = 68%-30% = 38%   ans 38% it is.68 -30= 
68 -30 = 38
38%   ans 38% it is.
Answer: D
xy=1 then what is (3^(x+y)^2) / (3^(x-y)^2)	Choose the correct answer.
A) 81 B) 4 C) 8 D) 16 E) 32

Solution: (x+y)^2 - (x-y)^2   (x+y+x-y)(x+y-x+y)   (2x)(2y)   4xy   4   3^4 = 81   81nswer 81
Answer: A
There are 10 slate rocks, 15 pumice rocks, and 6 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?  Choose the correct option
A) 2/19 B) 3/31 C) 4/37 D) 5/41 E) 6/53

Solution: 10/31*9/30 = 3/31   The answer is 3/31.
Answer: B
Which of the following fractions is greater than 1/7? Answers.
A) 1. 12/50 B) 2. 3/11 C) 3. 2/9 D) 4. 4/17 E) 5. 6/24

Solution: 1. 12/50   12.5/50 = 1/4 thus 12/50 < 1/4   2. 3/11   3/12 = 1/4 thus 3/11 > 1/4   3. 2/9   2/8 = 1/4 thus 2/9 < 1/4   4. 4/17   4/16 = 1/4 thus 4/17 < 1/4   5. 6/24   6/24 = 1/4   1. 12/50
Answer: A
3 men or 6 women can do a piece of work in 23 days. In how many days will 12 men and 8 women do the same work? Choose the correct choice from the following answers
A) 15/9 days	B) 15/4 days	C) 18/4 days	D) 69/16 days	E) 35/4 days

Solution: 3M = 6W ---- 23 days   12M + 8W -----?   24W + 8 W = 32W ---?   6W ---- 23 32 -----?   6 * 23  24  + 8= 
 24  + 8 = 32
32W ---?   6W ---- 23 32 -----?   6 * 23= 32 * x => x = 69/16 days   Answer:69/16 days
Answer: D
A train running at the speed of 72 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the most appropriate option.
A) 286  B) 278  C) 255  D) 180  E) 287

Solution: Speed=(72 * 5/18) m/sec = (20) m/sec Length of the train   = (Speed x Time) = (20 * 9)= 
(20 * 9) = 180
180 m.   Answer:180
Answer: D
Joshua and Jose work at an auto repair center with 3 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Choose one.
A) 1/15  B) 1/10  C) 1/9  D) 1/6  E) 1/3

Solution: Two Methods   1) Probability of chosing Josh first = 1/5   Probability of chosing Jose second = 1/4   total = 1/20   Probability of chosing Jose first = 1/5   Probability of chosing Josh second = 1/4   Total = 1/20   Final = 1/20 + 1/20 = 1/10   1/10
Answer: B
If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in Pick one:
A) 1 day
B) 2 days
C) 3 days
D) 4 days
E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.   1 day
Answer: A
All of the stocks on the over-the-counter market are designated by either a 8-letter or a 9-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?	Select:	A) a. 27(26^8)	B) b. 26(26^4)	C) c. 27(26^4)	D) d. 26(26^5)	E) e. 27(26^5)

Solution: no of different stocks for 8-letter code = 26^8   no of different stocks for 9-letter code = 26^9   total = 26^8 + 26^9 = 26^8(26+1) = 27(26^8)   [Reveal]Spoiler:   Option a. 27(26^8)
Answer: A
The average (arithmetic mean) of 4 positive integers is 45. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?	Choose the correct choice from the following choices:
A) 55  B) 65  C) 100  D) 89  E) 115

Solution: a + b + c + d = 180   a + b = 90   c + d = 90   Greatest possible = 89 (Just less than 1)   Answer = 89
Answer: D
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent W of the distribution is less than m +d ? Choose the correct choice from the following answers
A) 16%
B) 32%
C) 48%
D) 84%
E) 92%

Solution: D   The prompt says that 68% of the population lies between m-d and m+d.   Thus, 32% of the population is less than m-d or greater than m+d.   Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.   Thus, W=(68+16)% or (100-16)% of the population is less than m+d.
Answer: D
Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed?	Choose the correct choice from the following choices:
A) 2 (1/9)  B) 2 (4/2)  C) 5 (1/2)  D) 2 (1/2)  E) 2 (1/6)

Solution: Work done by a women in one day = 1/2 (work done by a man/day)   One women's capacity = 1/2(one man's capacity)   One man = 2 women.   12 men = 24 women.   12 men + 6 women = 30 women   30 women can complete the work in four days. In the first 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join, then new work force = 30 women - 12 women + 6 women = 24 women.   Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.   Answer: 2 (1/2)
Answer: D
If KING is coded as 17 and MASS is coded as 29 Then DOC is coded as
Pick one:
A) 21	B) 20	C) 19	D) 5	E) None

Solution: KING = 11+9+14+7= 
11+9+14+7 = 41
41 i.e (4*4)+(1*1)=17   MASS = 13+1+19+19= 
13+1+19+19 = 52
52 i.e (5*5)+(2*2)=29   5OC = 4+14+3= 
4+14+3 = 21
21 i.e(2*2)+(1*1)=5   ANSWER:5
Answer: D
The number 130 can be written as the sum of the squares of 2 different positive integers. What is the sum of these 2 integers?  Choose one
A) 17  B) 16  C) 15  D) 14  E) 13

Solution: 11^2 + 3^2 = 130 --> 11 + 3 = 14.   14
Answer: D
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Choose the most appropriate option:
A) 28 B) 50 C) 88 D) 22 E) 12

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x   = 50 km/hr.Answer:50
Answer: B