MU-NLPC/Calc-aqua_rat huggingface dataset:
The units digit of (35)^(87) + (93)^(55) is:	Choose the correct answer
A) 2  B) 4  C) 6  D) 8  E) 0

Solution: The units digit of powers of 3, cycles in a group of 4: {3, 9, 7, 1}   55 has the form 4k+3, so the units digit of 93^55 is 7.   The units digit of powers of 5 is always 5.   7+5= 
7+5 = 12
12, so the units digit is 2.   The answer is 2.
Answer: A
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 740 will be: Choose the correct choice from the following
A) Rs. 300  B) Rs. 200  C) Rs. 240  D) Rs. 350  E) None of these

Solution: Z share = Z,   Y = 1.2Z   X = 1.25×1.2Z,   X+Y+Z =740   (1.25× 1.2+1.2+1)Z=74   3.7Z=740, Z=200   Answer: . Rs. 200.
Answer: B
When 27 is divided by positive integer n, the remainder is 4. For how many values of n is this true? Choose the correct choice from the following answers:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: When 27 is divided by n, the remainder is 4 i.e. 4 apples left over after grouping, so n must be greater than 4.   It also means that 23 is completely divisible by n.   The factors of 23 are 1 and 23.   Out of these, n can be 23.   Answer (1).
Answer: B
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 25hr. If all pipes are opened simultaneously, then the cistern will be filled in Choose the correct option: A) 7.5 hr B) 6.98 hr C) 8.5 hr D) 10 hr E) None of these

Solution: Solution:   Work done by all the tanks working together in 1 hour.   1/10+1/12−1/25=1/7   Hence, tank will be filled in 6.98 hour   Option(6.98 hr)
Answer: B
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox? Select
A) 20 B) 40 C) 60 D) 80 E) 100

Solution: A quick note on doubling. When you double a length you have 2*L1. When you double all lengths of a rectangle you have (2*L1)(2*L2) = A. An increase of 2^2 or 4. When you double all lengths of a rectangular prism you have (2*L1)(2*L2)(2*L3) = V. An increase of 2^3 or 8.   This leads to the basic relationship:   Line: 2*original size   Rectangle: 4*original size   Rectangular Prism: 8*original size answer is 80
Answer: D
A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $250,000, one of them is $400,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?  Select.
A) 790	B) 785	C) 795	D) 800	E) 810

Solution: taking away '000 thousand sfor easy calculation   (1) 2(150)+400+2(500) = 1700   1700*0.95= 
1700*0.95 = 1_615
1615 (Revenue considering the minimum values with the discount)   (2) 2(250)+400+2(750)= 2400 (Revenue considering the maximum values without the discount)   So, the the revenue range could be = 2400 - 1615= 
2400 - 1615 = 785
785   785
Answer: B
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?  Choose the correct option:
A) 32000
B) 38000
C) 35000
D) 33000
E) 39000

Solution: Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.   Then, 2x + 4000/3x + 4000 = 40/57   57(2x + 4000) = 40(3x + 4000)   6x = 68,000   3x = 34,000   Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.   Answer is 38000.
Answer: B
Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years? Choose the correct choice from the following choices
A) 1059 B) 1028 C) 1052 D) 1028 E) 1012

Solution: S.I. = (956 - 800) = Rs. 156.   Rate = (100 * 156) / (800 * 3) = 6 1/2 %   Now rate = (6 1/2 + 4) = 10 1/2 %   New S.I. = (800 * 21/2 * 3/100) = Rs. 252   New amount = (800 + 252) = Rs. 1052.Answer:1052
Answer: C
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes? Choose the correct choice:
A) 6/19
B) 6/11
C) 6/12
D) 6/10
E) 6/38

Solution: Part filled by (A + 6/11 + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20   Part filled by C in 3 minutes = 3/10   Required ratio = 3/10 * 20/11 = 6/11   Answer:6/11
Answer: B
9 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?	Choose the correct choice from the following options: A) 33 B) 66 C) 88 D) 11 E) 281

Solution: (9 * 8)/30 = (x * 6)/50 => x = 20   20 – 9 = 11   Answer: 11
Answer: D
The total cost of 100 paper plates and 200 paper cups is $6.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?	Select the correct option
A) $.90 B) $1.00 C) $1.20 D) $1.50 E) $1.60

Solution: U dont need to go through all this   What u have with u is   100 P + 200 $1.20 = $6.00   Just divide the equation by 5 and you will get what u are looking for   20P + 40 $1.20 = $1.20   Therefore OA is $1.20
Answer: C
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?  Choose the correct choice from the following:  A) 617  B) 746  C) 808  D) 812  E) 814

Solution: Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.   Area of each tile = (41 x 41) cm2.   Required number of tiles = (1517 x 902)/(41X41) = 814.   Answer: Option 814
Answer: E
A train is 400 meter long is running at a speed of 60 km/hour. In what time will it pass a bridge of 800 meter length?	Choose the correct option
A) 72 seconds  B) 27 seconds  C) 40 seconds  D) 128 seconds  E) 18 seconds

Solution: Speed = 60 Km/hr = 60*(5/18) m/sec = 150/9 m/sec   Total distance = 400+ 800= 
400+ 800 = 1_200
1200 meter   Time= Distance/speed   = 1200 * (9/150)= 
1200 * (9/150) = 72
72 seconds   72 secondsnswer: 72 seconds
Answer: A
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?  Choose the correct option
A) Rs. 2000
B) Rs. 2200
C) Rs. 2400
D) Rs. 2600
E) None of these

Solution: Let C.P. be Rs. x.   Then, (1920 - x)/x * 100 = (x - 1280)/x * 100   1920 - x = x - 1280   2x = 3200 => x = 1600   Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.   Rs. 2000NSWER:Rs. 2000
Answer: A
Stacy and Heather are 15 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?. Pick:	A) 6.5mile	B) 5.7mile	C) 7.0mile	D) 8.0mile	E) 12 mile

Solution: Ss - Stacy's speed = 6m/hr   Sh - Heather's speed = 5m/hr   In 24 minutes Stacy will cover = (24/60)*6= 
(24/60)*6 = 12/5 = around 2.4
2.4miles   Now since both are walking in opposite directions, add their speeds - 6+5=11m/hr and distance to cover is  15 -2.4= 
 15 -2.4 = 12.6
12.6   Time taken= Distance/ Speed = 12.6/11 = 1.145 hrs   Heather will cover = 5*1.145 = 5.72miles.   Answer 5.7mile
Answer: B
Look at this series: 2, 4, 6, 8, 10, ... What number should come next?	Choose one:
A) 11
B) 12
C) 13
D) 14
E) 15

Solution: Explanation: This is a simple addition series. Each number increases by 2.   Answer: Option 12
Answer: B
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.	Choose the correct choice from the following answers
A) 256.29 B) 256.22 C) 256.28 D) 256.21 E) 256.25

Solution: Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.500   (P)(8)(5)/100 = 500   P = 1250   C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years   =2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}   = 2500/400(441 - 400)   = 25/4(41) = 1025/4 = Rs.256.25   Answer:256.25
Answer: E
The area of a square garden is A square feet and the perimeter is p feet. If a=2p+14.25, what is the perimeter of the garden, in feet?
Choose one
A) 38
B) 36
C) 40
D) 56
E) 64

Solution: Perimeter of square = P   Side of square = P/4   38rea of Square = (P^2)/16 =38   Given that 38 = 2P + 14.25   (P^2)/16 = 2P + 9   P^2 = 32P + 228   P^2 -32P -228 = 0   P^2 -38P + 6P -228 = 0   P(P-38)+6(P+38) = 0   (P-38)(P+6) = 0   P = 38 or- 6   Discarding negative value , P = 38   38nswer is 38
Answer: A
A gym offers 11 levels of fitness classes, and in an attempt to reward those who progress toward higher levels of fitness it charges $50 less per course for each level of fitness. Jessica completed all 11 levels by taking one course at each level, and her total cost was $4675. What is the cost X for a course at the gym's highest level?	Choose the correct option:	A) $175	B) $245	C) $425	D) $675	E) $725

Solution: Let the cost of a course in level 1 = x   => Cost of level 2 = x-(50*1)... and so on   => cost of level 11 = x-(50*10) = x-500   => Total cost X of 1 course in each of the 11 levels = x+(x-50)+(x-100)+.....+(x-500)   = 11x -50 (1+2+....+10)   = 11x - (50*55)   => 11x-2750 = 4675   11x = 7425   x= 675   x-500=175   $175nswer $175
Answer: A
If the average marks of three batches of 62, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is  Answers
A) 54.48	B) 54.68	C) 54.6	D) 54.49	E) None of these

Solution: Explanation:   (62Ã—50)+(60Ã—55)+(45Ã—60)/(62+60+45)=54.49   Answer: Option 54.49
Answer: D
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations E are there for the children?  Choose the correct choice from the following.
A) 240	B) 480	C) 720	D) 1440	E) 3600

Solution: MAGOOSHOFFICIAL SOLUTION:   First, we will consider the restricted elements — children ABG have to be in three seats in a row. How many “three in a row” seats are there in a row of seven seats?   X X X _ _ _ _   _ X X X _ _ _   _ _ X X X _ _   _ _ _ X X X _   _ _ _ _ X X X   There are five different “three in a row” locations for these three children. Now, for any given triplet of seats, we know A has to be in the middle, so the children could be seated B-A-G or G-A-B — just those two orders. This means the total number of configurations for these three children is 5*2= 
5*2 = 10
10.   Now, consider the non-restricted elements, the other four. Once ABG are seated, the remaining four children can be seated in any order among the remaining four seats — that’s a permutation of the 4 items —- 4P4= 4! = 24. For any single configuration of ABG, there are 24 ways that the other children could be seated in the remaining seats.   Finally, we’ll combine with the Fundamental Counting Principle. We have 10 ways for the first three, and 24 ways for the remaining four. That’s a total number of configurations E of  24*10= 
 24*10 = 240
240.   240nswer= 240
Answer: A
In how many different ways can 2 girls and 2 boys form a circle such that the boys and the girls alternate?  Choices:
A) 8
B) 1
C) 7
D) 5
E) 2

Solution: Explanation :   In a circle, 2 boys can be arranged in 2! ways   Given that the boys and the girls alternate.   Hence there are 2 places for girls which can be arranged in 2! ways   Total number of ways = 1! x 2! = 1 x 2 = 2. Answer : Option 2
Answer: E
A sum amounts to Rs.8820 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal? Choose the correct option:	A) s.4000	B) s.5000	C) s.4500	D) s.4800	E) s.8000

Solution: CI=8820,R=5,N=2   CI=P[1+R/100]^2   =P[1+5/100]^2   8820=P[21/20]^2   8820[20/21]^2   8000   ANSWs.8000R:s.8000
Answer: E
Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 30 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Choose the correct choice from the following options:
A) A) 6.24 B) B) 8 C) C) 10 D) D) 9.1 E) E) 24

Solution: Old time in minutes to cross 10 miles stretch = 10*60/55 = 10*12/11 = 10.9   New time in minutes to cross 10 miles stretch = 10*60/30 = 10*2= 
10*2 = 20
20   Time difference= 9.1   Ans:9.1
Answer: D
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Pick one
A) 25 ½ kmph	B) 28 ½ kmph	C) 42 ½ kmph	D) 20 ½ kmph	E) 22 ½ kmph

Solution: M = 100   S = x   DS = 10   US = 5   S = (10 - 5)/2   S= 2 2 ½ kmph   Answer: 22 ½ kmph
Answer: E
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of hydrogen are there in 117 grams of water?
Select: A) 7 B) 9 C) 11 D) 13 E) 15

Solution: (2/18)*117= 
(2/18)*117 = 13
13 grams   The answer is 13.
Answer: D
Felix earned 70% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar? Choose the correct choice from the following answers.
A) 10%	B) 9.09%	C) 40%	D) 39.09%	E) It cannot be determined from the information given.

Solution: This Q is all about taking the correct BASE for taking %s..   the very first step requires taking some numbers for each..   ONE should be 100...   it is easy to take 30 and 100 here..   but the BASE is 100 here, so the salary can be 100 and 170..   100 increases 10% =110..   170 decreases 10%=153..   so the increase is 43..   again the BASE is 110, so answer 43/110 * 100= 39.09% D   without calculations,   answer cannot be equal to or greater than 40, as 43 is on 110..   so 39.09% is the only one left
Answer: D
If g and d are both integers, g>d, and -3g>19, then the largest value of d would be?
Choose the correct choice from the following
A) -5  B) -6  C) -7  D) -8  E) -10

Solution: No, your thinking is incorrect. When we know that g>d and g<-6.33, the largest value of g can be -7 while if g=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.   You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.   Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:   .......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).   So, as per the question if d<g and g = -7 , then d's largest 'possible' value has to be -8.   -10 is smaller than -8=-8
Answer: D
A father tells his son, "I was of your present age when you were born." If the father is 36 now, how old was the boy 5 years back? Choose the correct choice from the following.
A) 15 years
B) 13 years
C) 17 years
D) 20 years
E) None of the above

Solution: present age of father 36   present age of son x   36-x=x   x=18   five yrs back sons age   18-5= 
  18-5 = 13
13   ANSWER:13 years
Answer: B
What percentage loss will a merchant incur if he marks his goods up by x% over his cost price and then offers a discount of x% on his selling price?  Pick one:
A) 0 %	B) 2x/100 %	C) x^2/100 %	D) x %	E) 2x %

Solution: Answer is C.   Taking smart numbers:   Let, C.P = 100$ and X = 20% over C.P   then Mark Up = 120$   After discount of X%   S.P= 80% of 120   S.P = 96$   Therefore Loss is 4$ and hence Loss in % = 4%   Plugging numbers in options.   A. 0 % ---------------------------Not truebecause loss is 4%   B. 2x/100 % --------------------2*20/100= 
--------------------2*20/100 = 2/5 = around 0.4
0.4%.Hence Not True   C. x^2/100 % ------------------ 20^2/100= 4%.True ANSWER IS C   D. x % --------------------------- 20%.Hence Not True   E. 2x %  -------------------------- 2*20= 
 -------------------------- 2*20 = 40
40%.Hence Not True ANSWER IS x^2/100 %
Answer: C
If 'A' means '-', 'B' means '/', 'C' means '+', and 'D' means 'X' then
Find the value of the following:
21 B 7 C 9 D 10 A 13	Choose the correct choice from the following answers.
A) 80 B) 75 C) 85 D) 95 E) 66

Solution: 80   80   Explanation:   21 B 7 C 9 D 10 80 13   = 21 / 7 + 9 X 10 - 13   = 3 + 90 - 13= 
3 + 90 - 13 = 80
80
Answer: A
B takes 12 more days than A to finish a task. B and A start this task and A leaves the task 12 days before the task is finished. B completes 60% of the overall task. How long would B have taken to finish the task if he had worked independently?	Answers:	A) 48 days	B) 36 days	C) 28 days	D) 32 days	E) 30 days

Solution: DETAILED SOLUTION   Let us say A and B split their share of the task and started doing their respective shares simultaneously.   Let’s say A takes A days to finish the task. Therefore, B takes A + 12 days to finish the entire task.   A has to finish 40% of the task, since B is doing the rest. So A will only take 2A/5 number of days.   B only has to finish 60% of the task, so B will take (3(A+12)/5) number of days.   But as we know, B starts working along with A and finishes 12 days after A stops working.   So, (3(A+12)/5) = ((2A)/5+12)   3A + 36 = 2A + 60   A = 24; B = 36 days.   Answer choice 36 days
Answer: B
If point A coordinates are (-7, -3) point B coordinates are (7 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.  Choose the most appropriate option: A) (-2, - 2/3) B) (2, -2/3) C) (2/3, -2) D) (0, 2) E) (2, 2/3)

Solution: Look at the diagram below:   Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-7+7)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be D.   Answer: (0, 2).
Answer: D
A seven-digit combination lock on a safe has zero exactly three times, does not have the digit 1 at all. What is the probability that exactly 3 of its digits are odd?  Pick one:
A) 9/16 B) 1/2 C) 1/3 D) 1/4 E) 1/6

Solution: Remaining number of digits after three '0' digits= 4   Constraint- no more '0' and no more '1'   Well, these four digits can be odd or even   1/2*1/2*1/2*1/2= 1/16   Ways to choose 3 odd digits out of total 4 digits= 4C3= 4   4* 1/16= 1/4   D is the answer   Hi! Since we are talking about remaining 4 digits. Each digit can either be odd or even (Total ways to select = 2. desired outcome= 1)   so let's say we want to choose first 3 digits as odd digits and last digit as even. The probability will be :-   1/2 *1/2*1/2*1/2= 1/16   But out of remaining 4 digit , any 3 can be odd and one even as there are no constraints in the question. Therefore, total ways of choosing 3 odd digits out of 4 total digits= 4C3   So, the probability = 4*1/16= 1/4   answer is 1/4
Answer: D
When XYZ Co discontinued an agency arrangement with John, management held his commission of Rs. 25000/- for one month. Earlier John had availed an advance agency fees of 8280/- from company. But Robert forgot that. After one month John asked his fees and accountant gives Rs.18500/- to him. What is the incentive amount given to John ?  Choose the correct choice from the following.
A) A)1780 B) B)1250 C) C)10780 D) D)10500 E) E)8600

Solution: Total fees = Rs.25000/-   1780dvance fees = 8280/-   Balance fees = 25000-8280= 
25000-8280 = 16_720
16720   Paid amount= 18500/-   Incentive amount = 18500-16720= 
18500-16720 = 1_780
1780/-   1780nswer is 1780
Answer: A
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between  Choose the most appropriate option
A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

Solution: Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.   So it lies between 11 and 12   ANSWER:12 and 3
Answer: B
A is thrice as good a workman as B & therefore is able to finish a job in 45 days less than B. In how many days they can finish the job if they work together?  Select.
A) 10  B) 11.25  C) 12  D) 13.45  E) 14

Solution: A is thrice as good a workman as 11.25 =>A = 311.25   The ratio of efficiencies of A and 11.25 = 3:1   The ratio of the days taken by A and 11.25 to finish work is = 1: 3   11.25 takes 45 days to finish the work => 3 parts = 45 days   A alone takes => 45/3x 1 = 15 days   A and 11.25 alone can finish the work is = A11.25/A+11.25   = 15 X 45/15 + 45   = 11.25   11.25
Answer: B
Set A consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set A? Choose the correct choice from the following answers.
A) 13	B) 1	C) 5	D) 67	E) 7

Solution: Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).   Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....   Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...   Putting the 7 numbers in order, we have:   -27, -3, -2, 2, 3, 15, 17   This means that the2will either be the 4th term or the 5th term (depending on the value of N).   IF....   N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5   N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0   Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....   IF....   N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.   1
Answer: B
Find the number of different prime factors of 6440	Choose the correct option.
A) 4 B) 2 C) 3 D) 5 E) 6

Solution: Explanation:   L.C.M of 6440 = 2 x 2 x 2 x 5 x 7 x 23   2, 5,7,23   Number of different prime factors is 4.   4nswer: Option 4
Answer: A
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?	Choices:  A) 7 sec  B) 6 sec  C) 9 sec  D) 4 sec  E) 3 sec

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [110 * 3/55= 
110 * 3/55 = 6
6 sec   Answer:6 sec
Answer: B
If Tim had lunch at $60.80 and he gave 20% tip, how much did he spend?  Choose the correct choice: A) $30.60 B) $60.60 C) $72.96 D) $40.60 E) $50.60

Solution: The tip is 20% of what he paid for lunch. Hence   tip = 20% of 60.80 = (20/100)*60.80= 
(20/100)*60.80 = 12.16
$12.16   Total spent     60.80 + 12.16= 
  60.80 + 12.16 = 72.96
$72.96   correct answer $72.96
Answer: C
In a group of cows and chickens, the number of legs was 20 more than twice the number of heads. The number of cows was:	Options.
A) 5 B) 7 C) 10 D) 12 E) 14

Solution: Let the number of cows be x and their legs be 4x.   Let the number of chicken be y and their legs be 2x.   Total number of legs = 4x + 2y.   Total number of heads = x + y.   The number of legs was 20 more than twice the number of heads.   Therefore, 2 × (x + y) + 20 = 4x + 2y.   or, 2x + 2y + 20 = 4x + 2y.   or, 2x + 20 = 4x [subtracting 2y from both sides].   or, 20 = 4x – 2x [subtracting 2x from both sides].   or, 20 = 2x.   or, x = 10 [dividing by 2 on both sides].   Therefore, the number of cows = 10.   10orrect Answer:10)10
Answer: C