MU-NLPC/Calc-aqua_rat huggingface dataset:
The area of a rectangular plot is 360 square metres. If the length is 25% less than the breadth, what is the breadth of the plot?  Options.
A) 32 m
B) 12 m
C) 20 m
D) 22 m
E) 25 m

Solution: length =75% of breadth.   length×breadth =360 m2   ⇒ 75% of breadth×breadth =360 m2   ⇒ 75/100× breadth×breadth =360 m2   ⇒ breadth×breadth =480 m2   ⇒ breadth =22 m   ANSWER:22 m
Answer: D
Missing number in the series
4 9 20 43 90 185 ? Choose the most appropriate option.
A) 376 B) 185 C) 190 D) 195 E) 180

Solution: 4*2+1= 
4*2+1 = 9
9   9*2+2= 
9*2+2 = 20
20   20*2+3= 
20*2+3 = 43
43   43*2+4= 
43*2+4 = 90
90   90*2+5= 
90*2+5 = 185
185   185*2+6= 
185*2+6 = 376
376   376NSWER:376
Answer: A
Several people are sitting around a round table playing a card game with a deck of 67 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
Choices:
A) 4	B) 5	C) 7	D) 11	E) 13

Solution: Let n be the number of people at the table.   If Martin gets the first and the last card, it means Martin got one more card than the others.   Thus 67/n has a remainder of 1 and so   67-1= 
  67-1 = 66
66 is a multiple of n.   The answer is 11.
Answer: D
Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 8 days. In how many days Peter complete the work separately.
Pick one.
A) 21
B) 24
C) 20
D) 25
E) 30

Solution: Together they complete the job in 20 days means they complete 12/20 of the job after 12 days.   Peter completes the remaining (8/20) of the job in 8 days which means that the whole job(1) can be completed in X days.   X=8/(8/20)= 
8/(8/20) = 20
20   20
Answer: C
In how many ways can the letters in MATHEMATICS be arranged?  Pick one
A) 4989060 B) 4999980 C) 4989600 D) 4989800 E) 4998800

Solution: There are 11 letters in the word "MATHEMATICS" of which two are M's, two are A's, two are T's and all other are distinct. Therefore require number of arrangements =11!/2!*2!*2! =4989600 Answer : 4989600
Answer: C
Which of the following is a prime number ? Choose the correct choice from the following answers:	A) 33	B) 81	C) 93	D) 97	E) None of these

Solution: Explanation:   Clearly, 97 is a prime number.   ANSWER IS 97
Answer: D
A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist? Pick one:
A) 9km/hr	B) 7km/hr	C) 12km/hr	D) 15km/hr	E) 18km/hr

Solution: Speed = { 750 } m/sec =5 m/sec = { 5 * 18 } km/hr =18km/hr   Ans:18km/hr
Answer: E
A rectangular-shaped carpet that measures x feet by y feet is priced at $22. What is the cost of the carpet, in dollars per square yard? (1 square yard = 8 square feet)
Choose the correct option:
A) xy/297  B) 11xy/3  C) 176/(xy)  D) 297/(xy)  E) 297xy

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 8.   The price per square yard is 22/ (xy/8) = 176/(xy).   The answer is 176/(xy).
Answer: C
Given that 2x + 9 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers? Options
A) -4 and -1	B) -1 and 4	C) -4 and 1	D) -2 and 4	E) 2 and 5

Solution: 2x + 9 > 5   i.e 2x >5-9   i.e. 2x > -4   i.e. x > -2   Also, 5x - 13 < 7   i.e. 5x <7+13   i.e 5x < 20   i.e x < 4   i.e. -2 < x < 4   Answer: Option -2 and 4
Answer: D
At 12.00 hours, J starts to walk from his house at 6 kmph. At 13.30, P follows him from J's house on his bicycle at 8 kmph. When will J be 3 km behind P?  Pick.
A) 19.39
B) 19.3
C) 19.32
D) 19.33
E) 19.36

Solution: By the time P starts J is 1.5 hr x 6 = 9 km away from his house.   J is 3 km behind when P is 3 km ahead of him. ie., P has to cover 12 km. So he takes  12 / (8 - 6)= 
 12 / (8 - 6) = 6
6 hrs after 13.30. So the required time is 19.30Hrs   Answer:19.3
Answer: B
A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?  Choose the correct option:
A) 80 km/hr	B) 81 km/hr	C) 85 km/hr	D) 84 km/hr	E) 83 km/hr

Solution: Let x is the length of the train in meter and y is its speed in kmph   x/8.4 = (y-4.5)(10/36) ---(1)   x/8.5 = (y-5.4)(10/36) ---(2)   Dividing 1 by 2   8.5/8.4 = (y-4.5)/ (y-5.4)   => 8.4y - 8.4 × 4.5 = 8.5y - 8.5×5.4   .1y = 8.5×5.4 - 8.4×4.5   => .1y = 45.9-37.8= 
45.9-37.8 = 8.1
8.1=> y = 81 km/hr   Answer is 81 km/hr.
Answer: B
Jackson has $313,194 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?	Choose the most appropriate option:
A) $1
B) $2
C) $3
D) $4
E) $5

Solution: In order to divide the sum in 9 parts, the amount must also be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 313,194 = 21 and 18 is divisible by 9.   Hence we need to subtract 3 to this number for it to be divisible by 9   $3orrect Option: $3
Answer: C
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:	Choose the correct choice from the following choices:
A) Rs. 650  B) Rs. 690  C) Rs. 698  D) Rs. 700  E) Rs. 718

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (815 - 117) = Rs. 698.   Answer: Option Rs. 698
Answer: C
A and B can finish a work in 12 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?  Pick.
A) 76 days	B) 48 days	C) 98 days	D) 31 days	E) 24 days

Solution: B = 1/12 – 1/24 = 1/24 => 24 days   Answer: 24 days
Answer: E
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choose the correct choice from the following:  A) 1778  B) 1682  C) 9178  D) 1900  E) 1782

Solution: 2000 ---- 54   2000 ---- 39   x ----- 20   x*20 = 2000*39   x = 3900   2000   -------   1900   Answer: 1900
Answer: D
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 1/4 %, then the amount invested at 11% was?	Choose the correct choice from the following:  A) 12500  B) 37500  C) 29977  D) 26777  E) 19871

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,   (x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 37/4 * 1/100)   (9x + 1100000 - 11x) = 37000/4 = 925000   x = 87500   Sum invested at 9% = Rs. 87500   Sum invested at 11% = Rs. (100000 - 87500) = Rs. 12500.   12500nswer: 12500
Answer: A
A WORKS TWICE AS FAST AS B. IF B CAN COMPLETE A WORK IN 8 DAYS INDEPENDENTLY, THE NUMBER OF DAYS IN WHICH A AND B CAN TOGETHER FINISH THE WORK IS:  Choose the correct answer: A) 8/3 DAYS B) 3/8 DAYS C) 1/4 DAYS D) 4/1 DAYS E) NONE OF THESE

Solution: RATIO OF RATES OF WORKING OF A AND B = 2:1. SO, RATIO OF TIME TAKEN = 1:2   A'S 1 DAY'S WORK = 1/4, B'S 1 DAY'S WORK = 1/8   (A+B)'S 1 DAY'S WORK = (1/4+1/8)=3/8=8/3   SO, A AND B TOGETHER CAN FINISH THE WORK IN 8/3 DAYS.   CORRECT OPTION: 8/3 DAYS
Answer: A
Natasha carries a paintbrush of length 1 and walks around the perimeter of a regular 2016-gon
with side length 1, painting all of the area outside the polygon that she can reach. What is the
area that Natasha paints?
Choose the correct choice from the following answers:
A) 2014+π
B) 2015+π
C) 2016+π
D) 2013+π
E) 2012+π

Solution: If the curve is convex, Natasha will only be turning one way, and by the time she   returns to the origin she will have turned exactly 2π radians. Therefore, she will paint the area   of a circle as she turns corners, because she paints a sector of the unit circle each time until the   sum of the sector angles is 2π. On each of the 2016 straight edges, she paints a rectangle of   length 1 and width 1, because the 2016-gon has side length 1 and the paintbrush also has length   1. Thus the total area is 2016 *1 + π* 12 = 2016 + π   correct answer 2016+π
Answer: C
When a 160 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
Answers:
A) 52
B) 50
C) 62
D) 67
E) 69

Solution: Answer   No. of pieces = Total length / Length of each piece   = 160/3.2= 
160/3.2 = 50
50   Option: 50
Answer: B
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Choose the correct choice from the following choices.
A) 5  B) 8  C) 9  D) 1  E) 3

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer:8
Answer: B
In a room there are 7 people. Each person shook hands with every other person. How many hand shakes were there?  Pick:
A) 19
B) 20
C) 21
D) 22
E) 23

Solution: 7212 = 21   The answer is 21.
Answer: C
Jaclyn buys $30 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter  Choose one
A) 712.5	B) 1234	C) 1289	D) 1345	E) None of these

Solution: Explanation:   I=(p x r x t)/100   = 30000*9.5/100*(18/12)^1/6 = 712.50   712.5nswer: 712.5
Answer: A
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 180 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Pick one
A) 1440
B) 960
C) 576
D) 192
E) 480

Solution: Four members worked in ration 2:3:5:6, hence as everyone mentioned, individual work could be taken as 2x, 3x,5x, and 6x. Also this gives us total work as 16x.   But we are told that one of these individual works is 30hrs. hence, possible scenarios, if   (1)2x =180 => 16x = 1440 (2) 3x =180 => 16x = 960 (3) 5x =180 => 16x = 576 (4) 6x =180 => 16x = 480   Hence Answer is 192 192 which can not be any of these.
Answer: D
If the 1st of the month occurs on a Monday, on which day of the week does the 19th occur?	Choose one
A) Friday  B) Saturday  C) Sunday  D) Monday  E) Tuesday

Solution: Each weekday is repeated every 7 days. The 19th of the month is 18 days after the 1st. 18 divided by 7 is 2, with a remainder of 4. Therefore, the 19th occurs on whichever day of the week is four days after the day we started on, meaning it is a Friday. Fridaynswer: Friday
Answer: A
A alone would take 8 days more to complete the job than if both A and B would together. If B worked alone, he took 4 1⁄2 days more to complete the job than A and B worked together. What time would they take if both A and B worked together?	Choose the correct choice from the following choices.
A) 7 days
B) 5 days
C) 4 days
D) 6 days
E) None of these

Solution: Let if both A and B work together, they take x days.   ∴ (A + B)’s 1 days’s work = 1⁄x th work   A’s 1 day’s work = 1⁄(x + 8) th work.   B’s 1 day’s work = 1⁄(x + 9/2) th work.   Now, 1/x+8 + 2/2x+9==1/x   ⇒ x(2x + 9 + 2x + 16) = (x + 8)(2x + 9)   ⇒ 4x2 + 25x = 2x2 + 25x + 72   ⇒ x2 = 36 ⇒ x = 6 days   Answer 6 days
Answer: D
In a T.V. factory, an average of 66 TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ? Choose the correct option:
A) 18  B) 39  C) 48  D) 50  E) 52

Solution: Production during these 5 days = Total production in a month - production in first 25 days.   = 30 x 58 - 25 x 66   = 90   âˆ´ 18verage for last 5 days = 90 / 5= 
90 / 5 = 18
18   18
Answer: A
Suppose f(x) is an odd function for which f(x + 2) = f(x) for all x, and
f(x) = x2 for x 2 (0, 1). Compute f(-3/2) + f(1).  Pick one
A) -1  B) -1/2  C) -1/4  D) 1/4  E) 1/2

Solution: Because f is periodic, we know that f(-3/2) = f(1/2) = (1/2)2 = 1=4. Because f   is odd, we know that f(1) = -f(/1), but because f is periodic, f(1) = f(-1). Therefore,   f(1) = 0 and the answer is 1=4.   correct answer 1/4
Answer: D
If W is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, W, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0  Choose the correct choice from the following answers:  A) I only  B) II only  C) III only  D) I and III only  E) None

Solution: If W is a negative integer and K is a positive integer, The answer should be (E) as S.D cannot be negative. It is only 0 if all numbers in the set are equal, which is not the case either.None
Answer: E
If you roll one fair six-sided die, what is the probability that the number is even or greater than 2?	Choose the correct choice from the following options
A) 1/2
B) 2/3
C) 4/5
D) 5/6
E) 7/12

Solution: The numbers which satisfy the conditions are 2, 3, 4, 5, and 6.   The probability is 5/6   The answer is 5/6.
Answer: D
The speed of a railway engine is 96 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:  Choose the correct choice from the following choices:
A) 19 B) 18 C) 16 D) 17 E) 14

Solution: the reduction in speed is directly proportional to the square root of the number of compartments attached   Doesreductionmean amount subtracted? or percentage decrease? There are at least two interpretations, and the wording does not provide a clear interpretation between them.   Evidently what the question intends is the subtraction interpretation. What is subtracted from the speed is directly proportional to the square root of the number of compartments attached.   In other words, if S = speed, and N = number of compartments, then   S = 42 - k*sqrt(N)   wherekis a constant of the proportionality. In general, if A is directly proportional to B, we can write A = k*B and solve for k.   If N = 9, then S = 24   24 =96 - k*sqrt(9) = 96 - 3k   k = 24   Now, we need to know: what value of N makes S go to zero?   0 = 96 - 24*sqrt(N)   24*sqrt(N) = 96   sqrt(N) = 4   n = 4^2 = 16   Thus, 16 is the maximum number of cars the engine can pull and still move.   16
Answer: C
Tough and Tricky questions: Work/Rate Problems.
If it takes 80 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?	Choose the correct choice from the following answers:
A) 40/3  B) 11  C) 7  D) 8  E) 9/7

Solution: 80 Workers = 3 hours then,   1 Worker = 3*80 Hours   30 Workers = (3*80) /(30)= 
(3*80) /(30) = 8
8 Answer.8
Answer: D
There are r members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of r? Choose the correct choice: A) 11 B) 12 C) 15 D) 18 E) 22

Solution: Combinations of two persons, in which Michael was not selected = 55   number of ways two persons can be selected from m people = m*(m-1)/2   Let m be the number of people excluding Michael, then m*(m-1) = 110 => m=11   Thus, r = m + 1(Michael) = 12   option 12
Answer: B
8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long? Answers:	A) 12	B) 10	C) 8	D) 6	E) 4

Solution: Explanation:   Work done by 8 persons working 42 days = 140   Work done by 1 person working 42 days =140/8   Work done by 1 person working 1 day =140/8×42   Work done by 30 persons working 1 day   =30×140/8×42=100/8   Assume that 30 persons working xx days complete a similar wall 100 m   => Work done by 30 persons working x days = 100   Hence x=100/(100/8)= 
100/(100/8) = 8
8   Answer: Option 8
Answer: C
A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 16 km, if the person completes half of the distance by walking and the other half by running?	Choose the correct choice:  A) 2  B) 2.5  C) 3  D) 3.5  E) 4

Solution: time = 8/4 + 8/8= 
8/4 + 8/8 = 3
3 hours   The answer is 3.
Answer: C
Salesperson A's compensation for any week is $360 plus 8 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?  Choose the correct choice from the following options:
A) $21,000
B) $18,000
C) $15,000
D) $ 7,750
E) $4,000

Solution: sometime, setting up an equation is an easy way to go with:   350 + 0.04(x - 1000) = 0.08 x   x = 7,750   Ans : $ 7,750
Answer: D
A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in sƟll water and rate
of the stream.	Select
A) 0,5
B) 5,5
C) 15,5
D) 10,5
E) None of these

Solution: Explanation:   Please remember,   If a is rate downstream and b is rate upstream   Rate in still water = 1/2(a+b)   Rate of current = 1/2(a-b)   => Rate in still water = 1/2(20+10) = 15 kmph   => Rate of current = 1/2(20-10) = 5 kmph   Answer: 15,5
Answer: C
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 80 on the S scale?
Select the correct option:
A) 26	B) 28	C) 32	D) 36	E) 40

Solution: A change of +18 on the R scale is a change of +30 on the S scale.   R = (18/30)*S + K = 3S/5 + K   6 = 3(30)/5 + K   K = -12   R = 3S/5 - 12   R = 3(80)/5 - 12 = 48-12= 
48-12 = 36
36   The answer is 36.
Answer: D
A class is given an exam. 87% of students pass with a C or greater, the remaining students fail. Of the passing students, 48% received a C, and those who received an A was 25% of those who received a B. What percent of students received an A?  Options.
A) 9.05%	B) 16.10%	C) 36.19%	D) 12.00%	E) 13.00%

Solution: Percent of students who pass the exam: 87%   Percent of students who received a C: 87% x 48% = 41.76%   Percent of students who received an 9.05% or B = 87% - 41.76% = 45.24%   9.05% students 87  - 41.76= 
87  - 41.76 = 45.24
45.24%   9.05% students= 25% B students   .25 B + B = 45.24%   B = 36.19%   25% of 36.19% = 9.05% of students received an 9.05%    9.05+36.19+41.76+13= 
 9.05+36.19+41.76+13 = 100
100% of students   9.05%nswer is 9.05%
Answer: A
Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?	Choices.
A) Rs.7506  B) Rs.7500  C) Rs.7572  D) Rs.7532  E) Rs.7555

Solution: Let Mohan's salary be Rs.100.   When increased by 20%, Mohan's salary = Rs.120   Again when decreased by 20%, Mohan's salary = 120 - 24 = Rs. 96.   But present salary is Rs. 7200   for, 96 ---> 100 ; 7200 ---> ?   Required salary is 7200/96 * 100 = Rs.7500   Answer:Rs.7500
Answer: B
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice from the following answers:  A) Rs 15  B) Rs 12.10  C) Rs 19.70  D) Rs 16.80  E) None of these

Solution: Explanation :   Let the cost of the tax items = x   Given that tax rate = 6%   Rs 19.70ost of tax items, x*(6/100) = 30/100   x = 5 rs   Now non taxable item = total cost - cost for taxable item - tax   = 25 - 5 - 0.30= 
25 - 5 - 0.30 = 19.7
19.70   Answer : Rs 19.70
Answer: C
There are five guys who have equal number of bullets. All of them shoot 4 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Select the correct option
A) 18
B) 19
C) 20
D) 21
E) 25

Solution: let initially each was having x bullets   they shot 4 bullets   so 5x-20=x   x=5   so each was having 5 bullets.   total was 25.   ANSW25R:25
Answer: E
P, Q and R have $4000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?  Select:
A) 2400
B) 2403
C) 3998
D) 2539
E) 1600

Solution: 1600   1600   Let the amount with R be $ r   r = 2/3 (total amount with P and Q)   r = 2/3(4000 - r) => 3r = 8000 - 2r   => 5r = 8000 => r = 1600.
Answer: E
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Pick one:  A) 200  B) 255  C) 260  D) 265  E) 290

Solution: Andrew can select one or more than one of his 8 gang.   => Required number of ways = 28 – 1= 255.   255
Answer: B
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 24,000. What will be B's share in the total profit of Rs. 20,000 earned at the end of 2 years from the starting of the business?
Choose the correct option: A) A)6792.45 B) B)7389 C) C)7379 D) D)7453 E) E)7637

Solution: 6792.45:B:C = (20000 * 24) : (15000 * 24) : (24000 * 18) = 20:15:18   B's share = 20000 * 18/53 = Rs.6792.45   6792.45nswer: 6792.45
Answer: A
City A to city B, Andrew drove for 1hr at 48 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? Choose the correct choice from the following options
A) 57	B) 57.5	C) 61	D) 61.5	E) 62.5

Solution: The total distance is 1×48+3×60=228   And the total time is 4 hours. Hence,   57verage Speed=(Total Distance/Total Time)   =228/4= 
228/4 = 57
57   57
Answer: A
A large tanker can be filled by two pipes A and B in 10 and 5 hours respectively. How many hours will it take to fill the tanker from empty state if A and B fill it together?
Pick
A) 3hr 20min  B) 3hr 50min  C) 4hr  D) 4hr 10min  E) 4hr 15min

Solution: Part filled by 3hr 20min in 1hr = 1/10   Part filled by B in 1hr = 1/5   part filled by 3hr 20min+B = 1/10 + 1/5 = 3/10   Both the pipes can fill the tank in = 10/3 hours = 3 hr 20min   3hr 20minnswer is 3hr 20min
Answer: A
In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats? Choose the correct choice from the following answers:  A) (6!)(6!)  B) 12!/6!  C) 12C6  D) 30C12  E) 30C6*6

Solution: There are total 30 seats, but 4 members of 6 different groups always sit together and in same sequence...   So the group can be taken as one seat, making the total as 12 seats..   12 seats include 6 empty chairs as total 6*4 chairs are filled in 30 seats and these 6 seats will be identical while the other 6 would be different as each consists of different group..   Ans 12!/6!   12!/6!
Answer: B
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 8500 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule? Choices:	A) 2054	B) 2501	C) 2200	D) 1750	E) 1000

Solution: 24600/12= 
24600/12 = 2_050
2050   2050*5= 
2050*5 = 10_250
10250   10250-8500= 
10250-8500 = 1_750
1750   Answer 1750
Answer: D
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? Choices:
A) 14420	B) 14400	C) 14600	D) 14800	E) 14700

Solution: Ratio of the investment   =21000:17500=210:175 =42:35=6:5   Share of X in the profit   =26400×6/11=2400×6=14400   Answer is 14400.
Answer: B