MU-NLPC/Calc-aqua_rat huggingface dataset:
The difference of two numbers is 11 and one fifth of their sum is 9. The numbers are :	Select.
A) 31, 20
B) 30, 19
C) 29, 18
D) 28, 17
E) none

Solution: x − y = 11, x + y = 5 × 9 x − y = 11, x + y = 45, y = 17, x = 28   Answer: 28, 17
Answer: D
Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 12 scones must be equal to which of the following? Pick
A) Y/5
B) 3Y/10
C) 100Y/(15X)
D) XY/250
E) Y/(5X)

Solution: Rachel eats 4 scones/10 minutes = 2/5 scones per minute   The time for Rachel to eat 1 scone is 5/2 minutes.   The time for Rachel to eat Y scones is 5Y/2 minutes.   The time for Henry to eat X scones is 5YX/200 minutes.   The time for Henry to eat 1 scone is 5Y/200 minutes.   The time for Henry to eat 12 scones is 60Y/200 = 3Y/10 minutes.   The answer is 3Y/10.
Answer: B
The length of a rectangular field is 7/5 its width. If the perimeter of the field is 384 meters, what is the width of the field? Choose the correct option.
A) 50
B) 60
C) 11
D) 80
E) 90

Solution: Let L be the length and W be the width. L = (7/5)W   Perimeter: 2L + 2W = 384, 2(7/5)W + 2W = 384   Solve the above equation to find: W = 80 m and L = 112 m.   correct answer 80)80
Answer: D
The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest. Pick:
A) 3052.82 B) 3052.89 C) 3052.85 D) 3052.8 E) 3052.82

Solution: R = 100 I / PT   => R = (100 * 7200)/ (12000 * 5)= 
(100 * 7200)/ (12000 * 5) = 12
12%   CI= P{ [1 + R /100]n - 1}   = 12000 { [ 1 + 12 / 100]2 - 1} = Rs.3052.80   Answer:3052.8   Answer:3052.8
Answer: D
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?	Choose one.
A) 1 : 8	B) 1 : 1	C) 1 : 6	D) 1 : 5	E) 1 : 3

Solution: Ratio of investments of P and Q is 2 : 5   Total salary claimed by P = 12 * 5000 = Rs. 60000   Total profit = Rs. 2 lakhs.   Profit is to be shared = Rs. 140000   Share of P = (2/7) * 140000 = Rs. 400000   Share of Q = Rs. 100000   Total earnings of P = (60000 + 40000) = Rs. 100000   Ratio of their earnings = 1 : 1.Answer: 1 : 5
Answer: D
How many numbers from 10 to 50 are exactly divisible by 3. Choose the correct choice from the following answers:
A) 13
B) 14
C) 16
D) 17
E) 19

Solution: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45,48.   13 Numbers.   10/3 = 3 and 50/3 = 16 ==> 16 - 3= 
16 - 3 = 13
13. Therefore 13 digits.   13)
Answer: A
If 102 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?	Choose the correct choice from the following answers: A) 12 books B) 10 books C) 0 books D) 3 books E) 9 books

Solution: The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 102 .   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 102 =3 and 0 is divisible by 9.   Hence, we need to remove 3 to this number for it to be divisible by 9   Correct Option:3 books
Answer: D
The cost of paint is 60 per kilograme. A kilogram paint covers 20 square feet. How much will it cost to paint the outside of a cube having each side 10 feet?	Choose the correct choice from the following choices:
A) 3000 B) 900 C) 1800 D) 360 E) None of these

Solution: Area of cube   = 6× (side)2 = 6 × 10 × 10 = 600 square feet.   1800ost to paint outside of the cube = 600⁄20 × 60   = 1800   Answer 1800
Answer: C
What is the total number of positive integers that are less than 400 and that have no positive factor in common with 400 other than 1?	Choose the correct choice from the following choices
A) 100  B) 120  C) 150  D) 160  E) 180

Solution: Since 400=2^4*5^2 then a number can not have 2 and/or 5 as a factor.   The odd numbers do not have 2 as a factor and there are 200 odd numbers from 1 to 400.   We then need to eliminate the 40 numbers that end with 5, that is 5, 15, 25,...,395.   There are a total of 200 - 40= 
200 - 40 = 160
160 such numbers between 1 and 400.   The answer is 160.
Answer: D
Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju  Select
A) 15 B) 14 C) 10 D) 8 E) 7

Solution: Explanation:   10learly,   x+15 = 5(x-5)   <=> 4x = 40 => x = 10   Answer: Option 10
Answer: C
Somesh bought a microwave oven and paid 10% less than its original price. He sold it at 30% profit on the price he had paid. What percentage of profit did Somesh earn on the original price?
Choose the correct choice from the following choices
A) 32% B) 11% C) 20% D) 17% E) None of these

Solution: Quicker Method:   % profit which Somesh gets   = –10 +30 – 10×30/100 = +17%   Answer 17%
Answer: D
In how many ways can 3 boys and 3 girls be arranged at a table if 3 girls are never together?
Pick:
A) 96 B) 92 C) 82 D) 84 E) 90

Solution: Total ways of arranging 6 person in a circle = 5! = 120 ways   If we consider three women as one, then we have   3+1= 
  3+1 = 4
4 persons. Arranging these four persons in circle will take= 3! = 6 ways   And two women can arrange themselves in 3! ways   Total ways in which three women sit together in circle = 3!*3! = 36 ways   Total ways in which three women doesn’t sit together in circle = 5! - 3!*3! = 120 - 36= 
120 - 36 = 84
84 ways   84
Answer: D
Seven people are on an elevator that stops at exactly 7 floors. What is the probability that exactly one person will push the button for each floor? Choices:
A) 7!/7^7  B) 7^7/7!  C) 7/7!  D) 7/7^7  E) 1/7^7

Solution: Each person out of 7 has 7 options, hence total # of outcomes is 7^7;   Favorable outcomes will be 7!, which is # of ways to assign 7 different buttons to 7 people   So basically # of arrangements of 7 distinct objects: 7!.   P=favorable/total=7!/7^7   7!/7^7nswer: 7!/7^7.
Answer: A
Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 27 years, then how old is Bruce ?	Choose the correct option
A) 8 years  B) 10 yrs  C) 12 years  D) 14 years  E) 16 years

Solution: Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   5x = 25   x = 5.   Hence, Bruce's age = 2x = 10 years.   10 yrs
Answer: B
Ravi started walking from his house east direction on Bus stop which is 3km.away. Then he set off in the bus straight towards his right to the school 4 km away. what is the crow flight distance from his house to the school?	Choose one:  A) 1 km  B) 5 km  C) 7 km  D) 12 km  E) None of these

Solution: Explanation:   The walked will be of in triangular shape and from starting point is 5km   ANSWER IS 5 km
Answer: B
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 21m/h. what is the speedof the person while he was going to his office?  Choose the correct choice from the following answers:  A) 8km/h  B) 10km/h  C) 12km/h  D) 13km/h  E) 14km/h

Solution: u = k , v= 3k   \inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=21   \inline \Rightarrow 1.5k = 21   \inline \Rightarrow k=14km/h   14km/h
Answer: E
What will come in place of the x in the following Number series? 2, 7, 27, 107, 427, x  Answers:
A) 1427
B) 1607
C) 1707
D) 2047
E) 2147

Solution: 22 × 4 - 1 = 77 × 4 - 1 = 2727 × 4 - 1 = 107107 × 4 - 1 = 427427 × 4 - 1 = 1707 1707
Answer: C
Two cars start from the opposite places of a main road, 113 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?	Options.
A) 65
B) 38
C) 20
D) 28
E) 21

Solution: Answer: 28) 28 km
Answer: D
If b is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT	Select the correct option.
A) z - w = 3(y - x)  B) b is divisible by 8  C) The average of w, x, y, and z is odd  D) b is divisible by 4  E) w + x + 8 = y + z

Solution: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.   b = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12   Focus on the easiest options first. You see that b is not divisible by 8. Answer (b is divisible by 8)
Answer: B
On Monday, Lou drives his vehicle with 26-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second?
Choose the correct answer.
A) Decrease by 14.3%
B) Decrease by 19%
C) Increase by 14.3%
D) Increase by 12.5%
E) Cannot be determined with the given information.

Solution: 416 is the LCM   On Tuesday  416/32= 
 416/32 = 13
13   On Monday  416/26= 
 416/26 = 16
16   Therefore, 13-16/16= -1/5=-19% decrease   Answer is Decrease by 19%
Answer: B
A certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive? Choose the correct choice from the following.
A) 25%
B) 33 1/3%
C) 100%
D) 66 2/3%
E) 75%

Solution: General formula for percent increase or decrease, (percent change):   percent=100%hange/Original∗100   So, the time between maintenance checks increased by (60−30)/30∗100=100   Answer: 100%
Answer: C
In a decade, a town’s population increases from 175000 to 262500. What is the average % increase of population each year?
Choose the correct choice from the following answers: A) 9% B) 2% C) 5% D) 7% E) 1%

Solution: Explanation:   Increase in population in 10 years= 262500-175000= 
262500-175000 = 87_500
87500   Now, % increase will be increase in (population /original population) * 100=> 87500/175000*100= 
87500/175000*100 = 50
50% increase in population over 10 years   Therefore, Average % increase each year= 50/10= 
50/10 = 5
5%   ANSWER: 5%
Answer: C
Three-twentieths of the members of a social club are retirees who are also bridge players, five-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?  Choose the correct choice from the following
A) 240
B) 300
C) 200
D) 400
E) 480

Solution: {Total} = {Retirees} + {Bridge players} - {Both} + {Neither}   x = 5/20*x + x/2 - 3/20*x + 120   20x = 5x + 10x - 3x + 120*20 (multiply by 20)   12x = 120*20   x = 200.   Answer: 200
Answer: C
If you have 4 New Year greeting cards and you want to send them to 2 of your friends, in how many ways can this be done? Choose the correct answer.
A) 360 B) 12 C) 16 D) 24 E) None

Solution: Solution   We have to find number of permutations of 2 objects out of 4 objects. This number is 4P2=4(4-1)=4*3= 
4*3 = 12
12   Answer 12
Answer: B
Find the probability of getting a multiple of 3,when an unbiased die is tossed?
Options.
A) 3/4	B) 2/8	C) 1/7	D) 1/3	E) 1/6

Solution: Here S={1,2,3,4,5,6}   Let E be the event of getting the multiple of 3   then ,E={3,6}   P(E)=n(E)/n(S)=2/6=1/3   Option 1/3
Answer: D
What percent is 1 gm of 1 kg?  Choose the correct choice from the following
A) 0.1 %  B) 1%  C) 1.5%  D) 2%  E) 3%

Solution: 1 kg = 1000 gm   1/1000 × 100 = 100/1000   =1/10= 
1/10 = 1/10 = around 0.1
0.1 %   0.1 %)
Answer: A
If the cost price of 12 pens is equal to the selling price of 10 pens, the gain percent is:
Choose the correct choice:
A) 80% B) 90% C) 20% D) 40% E) 10%

Solution: Explanation:   Let C.P. of each pen be Re. 1.   Then, C.P. of 10 pens = Rs. 10; S.P. of 10 pens = Rs. 12.   Gain % = 2/10 * 100= 
2/10 * 100 = 20
20%   Answer:20%
Answer: C
The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Choose the correct choice
A) 22
B) 0
C) 19
D) 18
E) 16

Solution: It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 22   22nswer:22
Answer: A
Team / No of games won
A 4
B 7
C 9
D 2
E 2
X ?
According to the incomplete table above, if each of the 6 teams in the league played each of the other teams exactly twice and there were no ties, how many games did team X win? (Only 2 teams play in a game.) Choose the correct choice from the following: A) 4 B) 5 C) 6 D) 8 E) 10

Solution: 6C2= 15 single games, & 30 in total.   won by others= 24   30-24= 
30-24 = 6
6   ANSWER:6
Answer: C
On a scale that measures the intensity of a certain phenomenon, a reading of j+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of j. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3? Choose the correct choice from the following choices.
A) 5 B) 50 C) 10^5 D) 5^10 E) 8^10 - 3^10

Solution: To solve this problem we need to examine the information in the first sentence. We are told that “a reading of j + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of j.”   Let’s practice this idea with some real numbers. Let’s say j is 2. This means that j + 1 = 3. With the information we were given we can say that a reading of 3 is ten times as great as the intensity of a reading of 2.   Furthermore, we can say that a reading of 4 is actually 10 x 10 = 10^2 times as great as the intensity of a reading of 2.   Increasing one more unit, we can say that a reading of 5 is 10 x 10 x 10 = 10^3 times as great as the intensity of a reading of 2.   We have found a pattern, which can be applied to the problem presented in the stem:   3 is “one” unit away from 2, and thus a reading of 3 is 10^1 times as great as the intensity of a reading of 2.   4 is “two” units away from 2, and thus a reading of 4 is 10^2 times as great as the intensity of a reading of 2.   5 is “three” units away from 2, and thus a reading of 5 is 10^3 times as great as the intensity of a measure of 2.   We can use this pattern to easily answer the question. Here we are being asked for the number of times the intensity corresponding to a reading of 8 is as great as the intensity corresponding to a reading of 3. Because 8 is 5 units greater than 3, a reading of 8 is 10^5 times as great as the intensity corresponding to a reading of 3.   Answer 10^5.
Answer: C
How many seconds will a 800 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?	Pick
A) 11 B) 30 C) 99 D) 48 E) 61

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 = 800 * 3/50= 
800 * 3/50 = 48
48 sec.   Answer: 48
Answer: D
A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time shown by the clock exactly 14 days from the time it was set right?	Choose the correct choice from the following answers
A) 1: 36: 48  B) 1: 40: 48  C) 1: 41: 24  D) 10: 19: 12  E) None

Solution: Solution:   The clock loses 1% time during the first week.   In a day there are 24 hours and in a week there are 7 days. Therefore, there are   7 * 24= 
  7 * 24 = 168
168 hours in a week.   If the clock loses 1% time during the first week, then it will show a time which is 1% of 168 hours less than 12 Noon at the end of the first week= 1.68 hours less.   Subsequently, the clock gains 2% during the next week. The second week has 168 hours and the clock gains 2% time = 2% of 168 hours = 3.36 hours more than the actual time.   As it lost 1.68 hours during the first week and then gained 3.36 hours during the next week, the net result will be a   -1.68 + 3.36= 
  -1.68 + 3.36 = 1.68
1.68 hour net gain in time.   So the clock will show a time which is 1.68 hours more than 12 Noon two weeks from the time it was set right.   1.68 hours= 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.   i.e. 1 : 40 : 48 P.M.   Answer 1: 40: 48
Answer: B
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 30 men in 3 days?  Choices
A) 65mtr.
B) 84mtr
C) 70mtr.
D) 78mtr.
E) 17mtr.

Solution: 20 men is 6 days can build 112 metres   30 men in 3 days can build = 112*(30/20)x(3/6)   = 84 meters   Answer: 84mtr.
Answer: B
Local kennel has cats and dogs in the ratio of 5:10. If there are 40 fewer cats than dogs, how many dogs are in the kennel?
Choose the correct answer.
A) 80 B) 70 C) 60 D) 50 E) 45

Solution: Lets work with the data given to us. We know that there ratio of cats to dogs is 5:10 or   cats 5   dogs 10   we can write number of cats as 5x and number of dogs as 10x and we know that 10x-5x= 40(therefore 5x = 40 => x=8)   Then # of dogs = 10x8= 80   80nswer is 80
Answer: A
At a dinner party, 8 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?  Choose the correct option:
A) 5
B) 10
C) 24
D) 32
E) 5040

Solution: Soln: Since the arrangement is circular and 2 seating arrangements are considered different only when the positions of the people are different relative to each other, we can find the total number of possible seating arrangements, by fixing one person's position and arranging the others.   Thus if one person's position is fixed, the others can be arranged in 7! = 5040 ways.   Ans is 5040.
Answer: E
A train which has 400 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choose the correct choice from the following answers
A) 56 sec
B) 40 sec
C) 36 sec
D) 29 sec.
E) 19 sec.

Solution: Time taken to cross a moving person = length of train/ relative speed   Time taken = 400/((45-9) (5/18)   = 400/ 36*(5/18)   = 400/10= 
400/10 = 40
40 sec   ANSWER:40 sec
Answer: B
A scientific research study examined a large number of young foxes, that is, foxes between 1 year and 2 years old. The study found that 80% of the young foxes caught a rabbit at least once, and 60% caught a songbird at least once If 10% of the young foxes never caught either a rabbit or a songbird, then what percentage of young foxes were successful in catching at least one rabbit and at least one songbird? Choose the correct choice from the following:
A) 40% B) 50% C) 60% D) 80% E) 90%

Solution: This is less about percents and more about probability, particularly the probability OR-rule. Let R = the event that a young fox catches at least one rabbit, and let S = the event that a young fox catches at least one songbird. Using algebraic probability notation, we know P(R) = 0.8 and P(S) = 0.6. We know P((not R) and (not S)) = 0.1, and the complement of [(not R) and (not S)] would be [R or S], so by the complement rule, P(R or S) = 1 – 0.1 = 0.9. The question is asking for P(R and S). The OR rule tells us   P(R or S) = P(R) + P(S) – P(R and S)   0.9 = 0.6 + 0.8 – P(R and S)   0.9 = 1.4 – P(R and S)   0.9 + P(R and S) = 1.4   P(R and S) = 0.5
Answer: B
The navy pilots are practicing flight formations. 200 pilots are practicing flying in rectangles. They want to make a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 5 and no more than 40, how many different combinations of rectangular shapes are possible?	Choose the most appropriate option:
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: firstly factors of 200 = 1,2,4,5,8,10,20,25,40,50,100,200   the question says each row will have airplanes not less than 5 and not more than 40,   therefore, we should be interested in the factors starting from 5 til 40 (inclusive)   5(in each row) * 40(number of columns) =200, similarly   8 * 25   10 * 20   20 * 10   25 * 8   40 * 5   total possibilities = 6   option 6
Answer: A
The food in a camp lasts for 40 men for 40 days. If ten more men join, how many days will the food last?
Choose the correct choice from the following answers: A) 32days B) 34days C) 36days D) 38days E) 40days

Solution: one man can consume the same food in 40*40= 
40*40 = 1_600
1600 days.   10 more men join, the total number of men= 50   The number of days the food will last = 1600/50= 
1600/50 = 32
32 days.   32daysnswer: 32days
Answer: A
The triplicate ratio of 2:3 is?  Choose the correct answer
A) 1:64 B) 1:62 C) 1:34 D) 8:27 E) 5:64

Solution: 2^3: 3^3 = 8:27   ANSWER:8:27
Answer: D
The average of 100 numbers is 6, and the standard deviation is D, where D is positive. When added which of the following numbers, the new deviation will be less than D?	Select the correct option:
A) -6 and 0 B) 0 and 0 C) 0 and 6 D) 0 and 12 E) 6 and 6

Solution: The answer is E - 6 and 6   we can reduce the std.dev. by adding to integers equal to the mean - so answer is 6 and 6.
Answer: E
A person travelled from his house to office at 30km/hr and office to house at 20km/hr. Then find the average speed?  Choose the most appropriate option
A) 15km/hr  B) 20km/hr  C) 32km/hr  D) 24km/hr  E) 25km/hr

Solution: Average speed = (2*30*20)/(30+20)= 
(2*30*20)/(30+20) = 24
24km/hr   Answer is 24km/hr
Answer: D
There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?
Choose the correct choice from the following answers: A) 12 B) 24 C) 32 D) 64 E) 82

Solution: Number of ways in which one can travel from P to R   =3×4=12=3×4=12   12NSWER 12 12
Answer: A
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 70 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold? Choose the correct choice from the following answers:
A) j/59 B) 7j/500 C) 140j D) j/100+40 E) 140j/100

Solution: lets take j=1000, as decided by you..   now 70% increase makes it 1700..   this is the price for 100 jackets, so selling price for each jacket=1700/100=$17..   so ans is correct as j/59..
Answer: A
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?	Select the correct option:
A) 3.75 days  B) 3.33 days  C) 7.75 days  D) 3.95 days  E) 4.75 days

Solution: 1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days   3.75 daysnswer:3.75 days
Answer: A
If 18 is 15 percent of 5 percent of a certain number, what is the number?	Pick one.
A) 9
B) 2400
C) 40
D) 81
E) 400

Solution: Let the certain number be x.   => (15/100)*(5/100)*x = 18;   => x=2400;   Ans is (2400).
Answer: B
If 12 men or 20 women can do a piece of work in 27 days, then in how many days can 9 men and 12 women together do the work? Select
A) 10 days B) 30 days C) 20 days D) 80 days E) 40 days

Solution: C   20 days   Given that 12m = 20w => 3m = 5w   9 men + 12 women = 15 women + 12 women = 27 women   20 women can do the work in 27 days. So, 27 women can do it in   (20 * 27) /27= 
  (20 * 27) /27 = 20
20 days.
Answer: C
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choose the correct choice from the following.
A) 40  B) 45  C) 70  D) 12  E) 25

Solution: Answer: Option C   a + b = 60, a = 2b   2b + b = 60 => b = 20 then a = 40.   5 years, their ages will be 45 and 25.   Sum of their ages = 45 + 25= 
45 + 25 = 70
70.
Answer: C