MU-NLPC/Calc-aqua_rat huggingface dataset:
15 beavers, working together in a constant pace, can build a dam in 4 hours. How many hours will it take 20 beavers that work at the same pace, to build the same dam? Select: A) 2. B) 4. C) 5. D) 6 E) 3.

Solution: Total Work = 15*4= 
15*4 = 60
60 Beaver hours   20 Beaver * x=60 Beaver hours   x=60/20= 
60/20 = 3
3   ANSW3.R:3.
Answer: E
A boy and a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected?  Answers:	A) 1/3	B) 2/5	C) 3/5	D) 4/7	E) 5/9

Solution: Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) + (Prob. that brother is not selected) × (Prob. that sister is selected)   = = 2/5   2/5
Answer: B
A seven-digit phone number is divisible by 8. After adding the two digits of the area code the number is not divisible by 8, which of the following cannot be the area code?
Choose the correct choice
A) 07.  B) 05.  C) 08.  D) 04.  E) 02.

Solution: Given that 7 digit number is divisible by 8   we know any number will not be divisible by 8 if the sum of all digits of the number is not the multiple of 8.   Hence looking at the option we can say that the number that should be added to the seven digit number must be 08 as adding it will make it divisible by 8... hence answer is 08.
Answer: C
A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of rth generation, where the initial number of eggs with man are considered as the eggs of first generation.	Answers:
A) rnk
B) rnk
C) nkr
D) nrk
E) None of these

Solution: Solution: The weight is increasing in form of GP so the total weight of eggs in the end of rth will be nrk.   Answer: Option nrk
Answer: D
How many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99? Choose the correct option:	A) 50	B) 60	C) 70	D) 80	E) 90

Solution: Not sure if this is the shortest.. But this is how I did this   There are 6 sets of integers with hundreds and units digits exchanged that satisfies k + 99.   1. 102 | 201 (satisfies k+99, where k = 102)   2. 203 | 302 (satisfies k+99, where k = 203)   3. ...   4. ...   5. ...   6. 607 | 708   Each set has 10 such numbers.   1. 102 | 201 (still k+99 holds good)   2. 112 | 211   3. 122 | 221   4. 132 | 231   5. ...   6. ...   7. ...   8. ...   9. 182 | 281   10. 192 | 291   Therefore, 6 sets with 10 such number in each set will give 6 x 10 = 60 integers.   60
Answer: B
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Answers: A) -33 B) 33 C) 35 D) 36 E) -35

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.   Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.   So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.   Solving this equation for d+ed+e gives d+e=−66d+e=−66.   Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.   Hence, the answer is -33: -33
Answer: A
The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).  Choose the correct choice from the following answers
A) 178.99 cm B) 178.29 cm C) 118.29 cm D) 578.29 cm E) 173.29 cm

Solution: Calculated average height of 35 boys = 180 cm.   Wrong total height of 35 boys = 180 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 180 * 35 cm - 166 cm + 106 cm   = 180 * 35 cm - 166 cm + 106 cm/35 = 180 cm - 60 /35 cm   = 180 cm - 1.71 cm = 178.29 cm.   Answer: 178.29 cm
Answer: B
Maria earned a profit of 30% on selling an article for Rs.6110. What was the cost price of the article?
Options
A) Rs.5725 B) Rs.4080 C) Rs.5250 D) Rs.4700 E) None of these

Solution: Explanation:   30% profit means, SP= 130% of CP   i.e. 130% of CP= Rs.6110. Therefore, CP = 6110x100/130 = Rs.4700.   Answer: Option Rs.4700
Answer: D
Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 15% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?  Choose the correct choice from the following options
A) 19%
B) 21%
C) 23%
D) 25%
E) 27%

Solution: Let x be Mork's income, then Mindy's income is 4x.   The total tax paid is 0.45x + 0.6x = 1.05x   1.05x / 5x  0.45  + 0.6= 
 0.45  + 0.6 = 1.05
1.05x   1.05x / 5x = 0.21   The answer is 21%. 1.05  / 5= 
 1.05  / 5 = 0.21
0.21   The answer is 21%.
Answer: B
The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.  Choose the correct choice from the following:
A) 84  B) 12  C) 67  D) 28  E) 21

Solution: Explanation:   let inner radius be r meters.   {\color{Black} Then,2\Pi r=440\Rightarrow r=440\times \frac{7}{22}\times \frac{1}{2}=70m}   Radius of outer circle = 70 + 14= 
70 + 14 = 84
84m   84nswer: 84) 84m
Answer: A
Tom planted vegetables in a rectangular garden that was 28 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Choose the most appropriate option:	A) 195 sq. ft.	B) 196 sq. ft.	C) 197 sq. ft.	D) 198 sq. ft.	E) 199 sq. ft.

Solution: area of garden is 28 x 15 = 420 sq. ft.   1/3 x 420 = 140 sq. ft. for corn   1/5 x 420 = 84 sq. ft. for peas   140 + 84= 
140 + 84 = 224
224 sq. ft. used     420 - 224= 
  420 - 224 = 196
196 sq. ft. left over   correct answer 195 sq. ft.
Answer: A
A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.  Select.
A) 10 B) 12 C) 14 D) 16 E) 18

Solution: Work done by A in 1 hour = 1/4   Work done by 12 and C in 1 hour = 1/3   Work done by A and C in 1 hour = 1/2   Work done by A,12 and C in 1 hour = 1/4+1/3 = 7/12   Work done by 12 in 1 hour = 7/12 – 1/2 = 1/12 => 12 alone can complete the work in 12 hours   Answer is 12.
Answer: B
What is the probability that the sum of two dice will yield a 4, and then when both are thrown again, their sum will again yield a 4? assume that each die has 3 sides with faces numbered 1 to 3.  Choose the correct choice from the following:
A) 1/144
B) 1/36
C) 1/9
D) 1/6
E) 1/3

Solution: Solution -   Rolling dices is an independent event.   The combinations to get 4 are (1,3), (3,1), (2,2), and total combinations of both dices is 9.   The probability of getting 4 in first attempt is 3/9=1/3.   Probability of getting 4 again in second attempt = (1/3)*(1/3) = 1/9. ANS 1/9
Answer: C
The price of a T.V. set worth Rs. 15000 is to be paid in 20 installments of Rs. 1500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options: A) 29997 B) 28088 C) 13500 D) 19000 E) 2799

Solution: Money paid in cash = Rs. 1500   Balance payment = (15000- 1500) = Rs. 13500 .Answer:13500
Answer: C
If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of clean sky ?
Choose the correct answer.
A) Blue  B) Green  C) Yellow  D) Orange  E) Pink

Solution: Explanation:   The colour of clean sky is 'blue' and as givne, 'yellow' means 'blue'.   so, the colour of clear sky is 'yellow'.   Answer: Yellow) Yellow
Answer: C
The vertex of a rectangle are (1, 0), (9, 0), (1, 6) and (9, 6) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
Choose the correct choice from the following choices
A) 3  B) 2  C) 1/4  D) 3/5  E) 5/6

Solution: If line L divides the rectangle into two identical quadrilaterals, then it must pass through the center (5, 3). The slope of a line passing through (0,0) and (5, 3) is 3/5.   The answer is 3/5.
Answer: D
If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+2 ?
Choose one:
A) -1
B) 3
C) -4
D) -1/2
E) -1/3

Solution: let we put values. a=1, b=3, c=5   5-3-1= 
5-3-1 = 1
1   1+2= 
1+2 = 3
3   Answer :3
Answer: B
There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.
Choose the correct option:
A) 120 B) 116 C) 140 D) 20 E) 10

Solution: Solution: The number of triangle can be formed by 10 points = 10C3.   Similarly, the number of triangle can be formed by 4 points when no one is collinear=4C3.   In the question, given 4 points are collinear, Thus, required number of triangle can be formed,   = 10C3-4C3 = 120-4= 
120-4 = 116
116.   Answer 116
Answer: B
Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 5 fantasy books, there are 8 reference books. If the proportion of history to reference books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes? Choose one:
A) 6
B) 20
C) 24
D) 35
E) 36

Solution: For every 2 history books, there are 7 fantasy books:   Originally H:F = 2:7 = 10:35.   For every 5 fantasy books, there are 8 reference books:   F:R = 5:8 = 35:56   H:F:R = 10:35:56   After the changes, H:F:R = 20:35:56   There are fewer than 60 fantasy books, so there are 35 fantasy books.   The number of history books is 20.   The answer is 20.
Answer: B
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 19%?	Choose the correct choice: A) 17 per kg B) 17.85 per kg C) 16.5 per kg D) 16 per kg E) None of these

Solution: C.P. of 200 kg of mixture = (80 × 13.50 + 120 × 16)   = 3000.   S.P. = 119% of 3000 = (119⁄100 × 3000) = 3570   ∴ Rate of S.P. of the mixture = (3570⁄200) per kg   = 17.85 per kg.   Answer 17.85 per kg
Answer: B
The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choose the correct choice from the following choices:	A) 61.4.	B) 51.7	C) 51.4	D) 51.1	E) 51.2

Solution: Let the required means score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 52 * 100   = 1600 + 775 + 55x = 5200   = 55x = 2825   = x = 565/11 =51.4.   Answer:51.4
Answer: C
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?	Choose the correct answer.
A) 16 2/5%  B) 16 2/9%  C) 16 5/3%  D) 16 2/3%  E) 16 3/3%

Solution: 600 ---- 100   100 ---- ? => 16 2/3%   Answer: 16 2/3%
Answer: D
In a certain game, you perform three tasks. You flip a quarter, and success would be tails. You roll a single die, and success would be a even number. You pick a card from a full playing-card deck, and success would be picking a ace card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning? Choose the correct choice from the following answers
A) 1/52  B) 6/13  C) 25/52  D) 11/13  E) 23/52

Solution: Event(1): Probability of getting tail in a flip of coin = 1/2   Event(2): Probability of getting even number in a roll of dice = 3/6 = 1/2   Event(3): Probability of getting ace in a pack of card = 4/52 = 1/13   Probability of winning is having exactly one successful event is:   P(success 1)* P(Fail 2)* P(Fail 3) + P(Fail 1)* P(Success 2)* P(Fail 3) + P(Fail 1)* P(Fail 2)* P(Success 3)   = 1/2*1/2*12/13 +1/2*1/2*12/13 +1/2*1/2*1/13   =3/13 + 3/13 +1/52   =25/52   Answer :25/52
Answer: C
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Select the correct option.
A) 10 sec  B) 30 sec  C) 40 sec  D) 20 sec  E) 50 sec

Solution: D   Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 120 + 280= 
120 + 280 = 400
400 m.   The time required= d/s = 400/20= 
400/20 = 20
20 sec.
Answer: D
If r and s are positive integers, and r2 + r/s is an odd integer, which of the following cannot be even?	Select the correct option
A) 3r + 2s B) (r-1)(s+2) C) r^(s+1) + s^r D) D. r^3 +3 E) s^4 +4

Solution: r and s are positive integers.   r2+rsr2+rs is an odd integer. Since r2r2 is an integer, rsrs will also be an integer. So s is a factor of r.   To get an odd integer after adding two terms, one term must be odd and the other even.   Say r is even. Then r^2 is even. So r/s must be odd. This means that when we divide r by s, we are removing all the 2s that r has. So s must be even too. This is one possible case.   Say r is odd. Then r^2 is odd. So r/s must be even. But if you divide an odd integer by another integer, it will never become even because division takes away factors. It cannot introduce 2 as an additional factor. So r/s cannot be even. This case is not possible.   Hence, r and s both MUST BE EVEN.   In option (D), r^3 + 3 will be odd because Even + Odd = Odd. Hence option (D) can never be even.   ANSWER:D. r^3 +3
Answer: D
Shekar scored 76, 65, 82, 47 and 85 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?  Choose the correct answer.
A) 71
B) 69
C) 75
D) 85
E) 90

Solution: Explanation :   71verage= (76+65+82+47+85)/5 = 355/5= 
355/5 = 71
71   Hence average=71   71nswer : 71
Answer: A
An assembly line produces 15 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?  Choose the correct answer.
A) 20  B) 22  C) 24  D) 26  E) 28

Solution: The time to produce the first 60 cogs is 60/15= 
60/15 = 4
4 hours.   The time to produce the next 60 cogs is 60/60= 
60/60 = 1
1 hour.   The average output is 120 cogs / 5 hours= 24 cogs per hour.   The answer is 24.
Answer: C
Matt and Peter can do together a piece of work in 20 days. After they have worked together for 10 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Choose the correct choice from the following choices:
A) 21
B) 20
C) 22
D) 23
E) 24

Solution: Together they complete the job in 20 days means they complete 10/20 of the job after 10 days.   Peter completes the remaining (10/20) of the job in 10 days which means that the whole job(1) can be completed in X days.   <=> 8/20->10 <=> X=10/(10/20)= 
10/(10/20) = 20
20   20
Answer: B
If a choir consists of 5 boys and 6 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Choose the correct choice from the following choices:	A) 120	B) 30	C) 24	D) 11	E) 7

Solution: Soln. Since combinations within the group not matter, and since all boys go together. We can group all 5 boys into 1 group. The 6 girls and the 1 group of boys can be arranged in 7 ways.   Ans is 7
Answer: E
Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L	Choose the correct choice from the following answers:
A) 1 : 2	B) 3 : 1	C) 2 : 1	D) 1 : 3	E) 2 : 3

Solution: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.   Let the length of train K be Lk and that of train L be Ll   given that Lk = 3/4 Ll   As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,   => Speed of train K = sk = Lk/30   Speed of train L = sl = Ll/80   Lk = 3/4 Ll   => sk = 3/4 Ll/(30) = Ll/40   Ratio of their speeds = sk : sl   = Ll/40 : Ll/80   => 1/40 : 1/80 = 2 : 1   Answer : 2 : 1
Answer: C
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long Q will the conference last if there are a total of 6 seminars that day?  Pick:
A) 5 hours and 15 minutes
B) 5 hours and 20 minutes
C) 5 hours and 25 minutes
D) 5 hours and 30 minutes
E) 5 hours and 35 minutes

Solution: Shouldnt the answer be 5 hours 20 mins?   5 hours and 20 minutesreak = b   Seminar= 10b   9am to 11:40am= 160mins   3s+b=160   30b+b=160   b=160/31   6 seminar will take   6s+2b   =60b+2b   =62b   60 +2= 
60 +2 = 62
62b=62*160/31= 
62*160/31 = 320
320   Q=5 hours 20 mins.5 hours and 20 minutes
Answer: B
In 10 years, P will be as old as Q is now. Ten years ago, Q was three times as old as P was then. How old is P now?
Options:
A) 11
B) 12
C) 15
D) 18
E) 21

Solution: Q = P+10   Q-10 = 3(P-10)   P = 3P-30   2P = 30   P = 15   The answer is 15.
Answer: C
1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member	Choose the correct option
A) A.10% B) B.20% C) C.25% D) D.41% E) E.50%

Solution: A,B, C is too low so I eliminated those answers, E was too high of a number, so I chose D.41% as my final answer.D.41%
Answer: D
If x ≠ 0 and 1/x - (2+ x^2)/x = y/x, then y = Choose the correct choice from the following options:
A) x^2+1
B) x^2-2
C) -(x^2+1)
D) x^2+2
E) 2x^2+1

Solution: 1/x - (2+ x^2)/x = y/x   1-2-x^2/x = y/x   y = -(x^2+1)   Answer : -(x^2+1)
Answer: C
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?  Choose the most appropriate option:
A) 234  B) 255  C) 265  D) 270  E) 272

Solution: Andrew can select one or more than one of his 8 gang.   => Required number of ways = 28 – 1= 255.   255
Answer: B
P and Q invested in a business. The profit earned was divided in the ratio 4 : 6. If P invested Rs 60000, the amount invested by Q is  Choose the correct choice from the following:
A) 30000	B) 50000	C) 90000	D) 20000	E) 60000

Solution: Let the amount invested by Q = q   60000:q=4:6   ⇒60000×6=4q   ⇒q=(60000×6)/4=90000   Answer is 90000.
Answer: C
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?	Answers.
A) 879  B) 278  C) 999  D) 167  E) 218

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5= 
666 * 1.5 = 999
999   Answer: 999
Answer: C
For 1rs 4p interest
wat will be for 1000rs? Choose the correct choice.
A) 45Rs B) 50Rs C) 40Rs D) 30Rs E) 48Rs

Solution: For 1rs , 4p interest   for 1000rs, x   x= 1000/1 * 4p ==> 4000 paise   To express in rs, 4000/100 = 40rs   ANSWER:40Rs
Answer: C
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:	Choose the correct choice from the following choices:
A) Rs. 768
B) Rs. 968
C) Rs. 1960
D) Rs. 2400
E) Rs. 2800

Solution: td=pw*r*t/100 so 168=pw*14*2/100 so pw=600   sum=pw+td..   sum=600+168= 
600+168 = 768
768   Rs. 768NSWER:Rs. 768
Answer: A
In the next World cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. Four top teams of this round will qualify for the semifinal round, where they play the best of three matches. The Minimum number of matches in the next World cup will be:
Choices
A) 54  B) 53  C) 38  D) 43  E) None of these

Solution: Solution: The number of matches in first round,   = 6C2 +6C2;   Number of matches in next round,   = 6C2;   Number of matches in semifinals,   = 4C2;   Total number of matches,   = 6C2 +6C2+6C2+4C2+2.   = 53.   Answer: Option 53
Answer: B
If 0.75: x :: 5:12, then x is equal to:	Choose the correct option.
A) 1.12  B) 1.16  C) 1.8  D) 1.3  E) None of these

Solution: Explanation:   (x * 5) = (0.75 *12)= 
(0.75 *12) = 9
9/5= 
9/5 = 9/5 = around 1.8
1.80   Answer: 1.8
Answer: C
If R persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job? Pick
A) z	B) x	C) x/y	D) z/x	E) y/z

Solution: the Q doesn't seem to be having the any correct answer as a choice..   since we are looking for days, lets keep days in end and work out a solution..   R person can do z jobs in y days..   so R person can do 1 job in y/z days..   and 1 person can do 1 job in y^2/z days..   so y person can complete 1 job in y^2/zy=y/z..   so the answer should be y/z=y/z
Answer: E
If log10 2 = 0.3010, the value of log10 80 is:
Options:
A) 1.602 B) 1.903 C) 3.903 D) 4.5231 E) None of these

Solution: Explanation:   log10 80	= log10 (8 x 10)   = log10 8 + log10 10   = log10 (23 ) + 1   = 3 log10 2 + 1   = (3 x 0.3010) + 1   = 1.9030.   ANSWER IS 1.903
Answer: B
5 ltr of water is added with 15 ltr of a solution containing 26%of alcohol in the water. The %of alcohol in the new mixture is? Choose the correct choice.
A) 17.25%	B) 19	C) 19.5%	D) 21.5%	E) 22%

Solution: We have a 15 litre solution containing 26% alcohol in water.   => Quantity of alcohol in the solution   =15Ã—26/100   Now 5 litre of water is added to the solution.   => Total quantity of the new solution = 15 + 5= 
15 + 5 = 20
20   Percentage of alcohol in the new solution=15Ã—26/100   20   Ã—   100   =15Ã—26/10020Ã—100   =15Ã—1.3/100   =19.5%   19.5%
Answer: C
A company sells pens and pencils. The Revenue from pens in 2007 was up 5% from 2006. The revenue from pencils declined 13% over the same period. Overall revenue was down 1% from 06 to 07. What was the ratio of pencil revenue to pen revenue in 2006
Pick.
A) 1/2 B) 1/3 C) 1/4 D) 1/5 E) 1/6

Solution: Let the revenue of pens be 'x'   Let the revenue of pencils be 'y'   the revenue of pens up from 2006 by 5%=>105%   the revenue of pencils down from 2006 by 13%=>87%   Overall revenue down by 1%=>99%   hence the ratio of pencils to pens = 6/12 = 1/2   1/2NSWER:1/2
Answer: A
If 5 persons can do 5 times of a particular work in 5 days, then, 7 persons can do 7 times of that work in?  Select the correct option:
A) 3 days
B) 4 days
C) 5 days
D) 7 days
E) 8 days

Solution: That is, 1 person can do one time of the work in 5 days.   Therefore, 7 persons can do 7 times work in the same 5 days itself   5 days)
Answer: C
A shopkeeper sells 200 metres of cloth for Rs. 12000 at a loss of Rs.6 per metre. Find his cost price for one metre of cloth?
Choose the correct answer:  A) s.59  B) s.58  C) s.09  D) s.50  E) s.66

Solution: SP per metre = 12000/200   = Rs. 60 Loss per metre   = Rs. 6 CP per metre = 60 + 6   = Rs.66   Answer: s.66
Answer: E