MU-NLPC/Calc-aqua_rat huggingface dataset:
12 men working 8 hours per day complete a piece of work in 10 days.To complete the same work in 8 days,working 15 hours a day,the number of men required,is  Choose the correct choice from the following
A) 4	B) 5	C) 6	D) 8	E) 7

Solution: Solution   Let the required number of men be x.   Less days,More men (Indirect Propertion)   More working hrs per days,Less men (Indirect Propertion)   ∴ 8 × 15 × x = 10 × 8 × 12 ⇔ x = 10x8x12/8x15= x= 8. Answer 8
Answer: D
There are 5 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes	Options
A) 1/18
B) 1/14
C) 5/18
D) 1/15
E) 1/16

Solution: taking 2 red shoe the probability is 55/182   from 9 shoes probability of taking 2 red shoes is 55/182/95/182=5/18   ANSWER:5/18
Answer: C
40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?	Choose the correct choice from the following answers:
A) 87	B) 87	C) 87	D) 90	E) 77

Solution: Given, 40% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 40% of Ram's marks = 24.   => Ram's marks = (24 * 100)/40= 
(24 * 100)/40 = 60
60   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (60 + 120)/2= 
(60 + 120)/2 = 90
90.   Answer: 90
Answer: D
A space shuttle orbits the earth at about 2 kilometers per second. This speed is equal to how many kilometers per hour? Choose the correct choice from the following choices.
A) 7,200	B) 8,880	C) 10,800	D) 28,800	E) 48,000

Solution: Seconds in 1 hours:   60s in 1 min   60 min in 1 hr   60*60= 
60*60 = 3_600
3600 sec in 1 hr   2*3600=28,800   7,200nswer: 7,200
Answer: A
A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 3 and 5 are not together ? Choose the correct answer
A) 72  B) 36  C) 48  D) 60  E) 120

Solution: Reqd ways = (Total No. of ways - cases when both 3 and 5 are together)   5 numbers can be arranged in 5 places in 5! ways. Now tie 3 and 5 together so effectively there are 4 nos. they can be arranged in 4! ways. 1 and 2 can be arranged within themselves in 2!ways.   Reqd. 72nswer = 5! - 4!2! = 120 - (24*2)= 
120 - (24*2) = 72
72   72nswer: 72
Answer: A
FOG + FOG + FOG + FOG = 1456.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?  Pick
A) 11  B) 12  C) 13  D) 14  E) 15

Solution: given,FOG + FOG + FOG + FOG = 1456   4(FOG)=1456   =>FOG=364   Face value of F is:3   Face value of O is:6   Face value of G is:4   so F+O+G=3+6+4= 
3+6+4 = 13
13   ANSWER:13
Answer: C
Which of the following is closer to (23!+22!)/(23!-22!)?  Answers:
A) 49	B) 36	C) 25	D) 16	E) 1

Solution: Notice that 23! = (23)(22!), so we can factor out 22! from top and bottom.   (23!+22!)/(23!-22!)=[22!(23+1)]/[22!(23-1)]   = (23+1)/(22-1)   = 24/22   ≈ 1   Answer: 1
Answer: E
Which of the following fractions is at least thrice greater than 7/50? Choose the correct option:	A) 2/5	B) 11/34	C) 43/99	D) 8/21	E) 9/20

Solution: Answer 43/99   7/50= 
7/50 = 7/50 = around 0.14
0.14   43/99=0.45 which is 0.01434 greater than thrice times of 0.14
Answer: C
The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c	Choices:
A) 504
B) 532
C) 210
D) 180
E) 280

Solution: LCM of 7, 8 and 9 is 504, thus 523rbc must be divisible by 504.   523rbc=523000+rbc   523000 divided by 504 gives a remainder of 352.   Hence, 352+rbc=k*504.   k=1 rbc=152 --> r*b*c=10   k=2 rbc=656 -->r*b*c=180   As rbc is three digit number k can not be more than 2.   Two answers? Well only one is listed in answer choices, so D.   Answer: 180.
Answer: D
A is a working partner and B is a sleeping partner in a business. A puts in 60,000 and B 40,000. A gets 20% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 10000.	Choose the most appropriate option.
A) 6800
B) 5800
C) 4800
D) 6500
E) None of these

Solution: The amount A gets for managing   = 20% of Rs. 10000 = 2000   Remaining profit = 10000 – 2000 = 8000   This is to be divided in the ratio 3 : 2.   Share of A = 3/5 of 8000 = 4800   ⇒ Total share of A = 4800 + 2000= 
4800 + 2000 = 6_800
6800.   6800nswer 6800
Answer: A
A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Select the correct option
A) 22 kmph  B) 108 kmph  C) 54 kmph  D) 71 kmph  E) 88 kmph

Solution: S = 480/16 * 18/5= 
480/16 * 18/5 = 108
108 kmph   Answer:108 kmph
Answer: B
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 8 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour? Select the correct option:  A) 2:40 pm  B) 2:55 pm  C) 3:12 pm  D) 3:24 pm  E) 3:45 pm

Solution: The question is asking when the first clock will have chirped 24 times (3*8 chirps).   The first clock chirps once every 3 minutes.   If the first chirp is at 2:03, then the 24th chirp is at 72 minutes after 2:00.   The answer is 3:12 pm.
Answer: C
The G.C.D. of 1.08, 0.36 and 0.3 is?
Options
A) 0.06  B) 0.9  C) 0.18  D) 0.108  E) none of these

Solution: Given numbers are 1.08,0.36 and 0.30.   H.C.F of 108, 36 and 30 is 6   H.C.F of given numbers=0.06.   Correct Options:0.06
Answer: A
If n is an integer and n^4 is divisible by 8, which of the following could be the remainder when n is divided by 8? Choose the correct choice from the following choices:  A) 1  B) 2  C) 3  D) 5  E) 6

Solution: option 1   Remainder 1 means  8+1= 
 8+1 = 9
9   n^4= 9^4= 9*9*9*9/8 is not an integer   option 2   Remainder 2 means  8+2= 
 8+2 = 10
10   n^4= 10*10*10*10/8 is an integer means n^4 is divisible by 8 if we take n=2   so 2 is correct
Answer: B
what is next number in sequence
212 427 303 336 394 ?
Choose the correct choice
A) 123	B) 345	C) 560	D) 567	E) 245

Solution: 245   245   space them properly as 21 24 27 30 33 36 39 42 45 ?
Answer: E
In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m? Pick:	A) 100 seconds	B) 112.5 seconds	C) 77.5 seconds	D) 87.5 seconds	E) None

Solution: Explanatory Answer   A gives B a start of 25 metres and still wins the race by 10 seconds.   Alternatively, if A gives B a start of 45 metres, then the race ends in a dead heat.   Therefore, the additional 20 metres start given to B compensates for the 10 seconds.   i.e., B runs 20 metres in 10 seconds.   Hence, B will take 100 seconds to run 200 metres.   We know that A gives B a start of 45 metres. B will take 22.5 seconds to run this 45 metres as B runs 20 metres in 10 seconds or at the speed of 2 m/s.   Hence, A will take 22.5 seconds lesser than B or   100 - 22.5= 
  100 - 22.5 = 77.5
77.5 seconds to complete the race.   Answer 77.5 seconds
Answer: C
A bus can hold 40 passengers. If there are 10 rows of seats on the bus, how many seats are in each row?	Choices.
A) 0 B) 2 C) 4 D) 6 E) 5

Solution: No. of seats = 40/10= 
40/10 = 4
4   There are 4 seats in each row   Answer : 4
Answer: C
The first three terms of a proportion are 2, 8 and 16. The fourth term is?  Choose the correct choice from the following options: A) 22 B) 64 C) 67 D) 60 E) 88

Solution: (8*16)/2= 
(8*16)/2 = 64
64   Answer:64
Answer: B
The population of a town is 10000. It increases annually at the rate of 25% p.a. What will be its population after 2 years?
Choose the correct choice:
A) 14000
B) 14400
C) 14500
D) 15625
E) 14700

Solution: Formula :   10000 × 125/100 × 125/100 = 15625   Answer : 15625
Answer: D
If (t-8) is a factor of t^2-kt-47, then k= Choose the correct option
A) 16
B) 12
C) 2
D) 6
E) 14

Solution: t^2-kt-48 = (t-8)(t+m) where m is any positive integer.   if 48/8= 
48/8 = 6
6, then we know as a matter of fact that:   m= +6   and thus k = 8-6 = 6   t^2-kt-m = (t-a)(t+m) where a>m   t^2+kt-m = (t-a)(t+m) where a<m   t^2-kt+m = (t-a)(t-m)   t^2+kt+m = (t+a)(t+m)   6
Answer: D
There are 3 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns? Choose the correct choice from the following answers:
A) 10	B) 12	C) 24	D) 60	E) 100

Solution: There are 3 red chips and 2 blue ones.   When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?   10   12   24   60   100   Soln: Total number of patterns is 5!   Since 3 red chips are identical and 2 blue ones are identical thus we have   = 5!/(2! * 3!)   = 10 such different patterns 10
Answer: A
What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate? Choose the correct choice from the following answers.
A) 2000	B) 2200	C) 3000	D) 3400	E) 3500

Solution: A.P.=(200X12900)/[4(200+5X3)]=3000 Ans   Alternative   100+105+110+115=12900   430=12900   100=12900/(430)X100=3000   3000
Answer: C
A number is such when, twice the number is divided by 3d it gives a remainder as 20. And when five times of it is divided by 4d it gives remainder as 32. Find the value of d.
Select:
A) 13	B) 14	C) 15	D) 16	E) 17

Solution: d=14   ANSWER:14
Answer: B
Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
Answers:	A) 5040	B) 2520	C) 720	D) 120	E) 42

Solution: PRINCETON REVIEW OFFICIAL SOLUTION:   Carmelo beats LeBron? Carmelo beats LeBron? No one said anything about specific results, especially not on a question that includes so many people.   Many questions on the GMAT can be overwhelming in appearance so first thing…Relax. This question looks nasty, but it’s pretty straightforward, requiring two things: the basic first calculation and then some additional work to solve the problem. It would be extremely painful to try to calculate this whole question in one fell swoop. So don’t.   Calculate out all possibilities first to get your bearings. That is, how many different arrangements, period? Since the order of arrangement again matters, this is another permutation. And since we’re placing all seven runners, this calculation is…   7 x 6 x 5 x 4 x 3 x 2 x 1, cash and prizes worth 5040 arrangements.   Now, what to do? Again, some nice deep breathing to control your nerves – relax and think. These 5040 arrangements are a comprehensive list; every possible seven-person order of finish has been counted. So, we have accounted for every time Carmelo beats LeBron AND every time LeBron beats Carmelo. Doesn’t it make sense that, for every time Carmelo beats LeBron, there is exactly one other instance in which LeBron beats Carmelo? Or more simply, doesn’t it make sense that, if these 5040 represents everything, that Carmelo beats LeBron exactly 50% of the time and vice versa?   The thought takes time. You need to have the presence to recognize that grinding your way in, around, and through this question could take roughly forever. Stepping back and recognizing that this is simply a 50/50 proposition and applying that thought to the 5040 you cranked out gives you 2520. The answer is 2520.
Answer: B
A convoy of 7 trucks, each 22 meters in length, pass through a construction zone 1/2 km long. Through the construction zone, they travel 3 m/s maintaining a distance of five meters between them. How long does it take for the entire convoy to make it through the zone? Choose the correct choice:
A) 3 min 22 sec B) 3 min 48 sec C) 4 min 12 sec D) 4 min 20 sec E) 4 min 36 sec

Solution: B   3 min 48 sec   There are 7 trucks of 22 m with six 5-m gaps between them passing a distance of 500 m.   d = 7 * 22 m + 6 * 5 m + 500 m = 684 m   T = 684 m / 3 m/s = 228 s = 3 min 48 sec
Answer: B
At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.75. What is the price of 2 doughnuts?  Choose the correct choice from the following options
A) $ 0.55	B) $ 1.00	C) $ 1.10	D) $ 1.30	E) $ 1.80

Solution: 3D + C = 2.25......(1)   2D + C = 1.75........(2)   (1) - (2) --> D = 0.50 --> 2D = 1.0   Answer: $ 1.00
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Select.
A) 25	B) 9/8	C) 23/35	D) 4/12	E) 6/89

Solution: Explanation:   Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green   = (â¶23/35â‚ * â¹23/35â‚)/Â¹âµ23/35â‚‚ + â¶23/35â‚‚/Â¹âµ23/35â‚‚   = (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7   = 46/70 = 23/35   Answer: 23/35
Answer: C
A pharmaceutical company received $4 million in royalties on the first $22 million in sales of generic equivalent of one of its products and then $8 million in royalties on the next $88 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $22 million in sales to the next $92 million in sales?	Select.
A) 20% B) 25% C) 30% D) 45% E) 50%

Solution: change in ratio of royalties to sales = 4/22 -8/88 = 1/11   % decrease = (1/11)/(4/22) *100= 
(1/11)/(4/22) *100 = 50
50% (approx)   Answer: 50%)
Answer: E
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for U to be in the position where R is now shown. The number of degrees through which RSTU is rotated is  Answers.
A) 135 degree
B) 180 degree
C) 90 degree
D) 270 degree
E) 315 degree

Solution: From the options, I am assuming the positioning of R and U relative to each other to be as shown. To replace R by U, focus on OU. Say, you rotate OU clockwise (and with it the entire square) and bring it in place of OR. How many degrees did you go? You covered 1 right angles i.e. 90 degrees.   Answer : 90 degree
Answer: C
If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?	Choose the correct choice from the following
A) 500 B) 1000 C) 1500 D) 2000 E) None of these

Solution: Explanation:   Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.   Then, 2x + 3y = 3500 ...(i)   and 3x + 2y = 4000 .....(ii)   solving (i) and (ii) we get x = 1000, y = 500   Answer: 1000
Answer: B
A present value of a machine is $400. Its value depletiation rate is 25% per annum then find the machine value after 2 years? Choose one
A) $125 B) $100 C) $200 D) $215 E) $225

Solution: P= $400   R = 25%   T = 2 years   Machine value after 2 years = P[(1-R/100)^T]   =400*3/4 * 3/4= 
400*3/4 * 3/4 = 225
$225 approximately   Answer is $225
Answer: E
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 84 more candidates got selected than A. What was the number of candidates appeared from each State? Choose the correct choice from the following answers.
A) 7000
B) 8400
C) 6000
D) 5000
E) 4000

Solution: State A and State B had an equal number of candidates appeared.   In state A, 6% candidates got selected from the total appeared candidates   In state 8400, 7% candidates got selected from the total appeared candidates   8400ut in State 8400, 84 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State 8400 = 84   => total appeared candidates in State 8400 = 84 x 100 = 8400   => total appeared candidates in State A = total appeared candidates in State 8400 = 8400
Answer: B
A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?  Choose the correct answer.
A) 11	B) 27	C) 62	D) 62	E) 82

Solution: Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.   Now 23 hrs 44 min. of this clock = 24 hours of correct clock.   356/15 hrs of this clock = 24 hours of correct clock   89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.   = 90 hrs of correct clock.   So, the correct time is 11 p.m.   11nswer: 11
Answer: A
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 900 feet squared, what is the difference between the length and the width of the roof? Choose one:  A) 38.  B) 40.  C) 42.  D) 45.  E) 46.

Solution: Answer is D : 45   Let w be the width , so length is 4w. Therefore : w*4w = 900, solving for, w = 15 , so 4w-w = 3w = 3*15= 
3*15 = 45
45
Answer: D
(786×74) ÷ ? = 1938.8  Choose one.
A) A)4.8	B) B)48	C) C)30	D) D)68	E) E)48

Solution: Explanation:   58164/x = 1938.8=> x = 58164/1938.8= 
58164/1938.8 = 30
30   Answer: Option 30
Answer: C
Find the value of y from (12)^3 x 6^4÷432 =y?
Choices.
A) 4363  B) 4765  C) 4879  D) 6789  E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?	Choose the correct option.
A) 4 min B) 2 min C) 6 min D) 9 min E) 5 min

Solution: S = 600/60= 
600/60 = 10
10 mps   S= 3600/10= 
3600/10 = 360
360 sec= 6 min   Answer: 6 min
Answer: C
It takes 4 tons of copper ore and 6 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?  Choose the correct choice from the following answers:
A) 12 B) 15 C) 20 D) 30 E) 50

Solution: Yes, you need copper ore:iron ore in the ratio 4:6. Total 10 tons of the mix in this ratio will give 1 ton of alloy A.   If you have 60 tons of copper ore, it is enough for 60/4= 
60/4 = 15
15 tons of alloy A.   If you have 90 tons of iron ore, it is enough for 90/6= 
90/6 = 15
15 tons of alloy A.   Since iron ore is available for only 15 tons of alloy A, you can make only 15 tons of alloy A.   The leftover copper ore alone cannot make any alloy A and hence will be leftover only.   Answer must be 15.   (15)
Answer: B
The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 56, what is the value of x?
Choose the correct choice from the following answers.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: The areas are (x+3)^2 and (2x-7)^2.   The lengths of the sides are x+3 and 2x-7.   If we add the two perimeters:   4(x+3) + 4(2x-7) = 56   12x = 72   x = 6   The answer is 6.
Answer: D
Antonio works in a bakery. He made cookies that cost $3 and made $300. How many customer did he have?
Choose the correct choice from the following options:
A) 100 customers
B) 185 customers
C) 250 customers
D) 200customers
E) 270 customers

Solution: A cookie costs $3 adding another one is $6. 300 divided by 6 is 50x 2 is 100. He had 100 customers.   The correct answer is 100 customers.
Answer: A
Taylor is making a bracelet. He Starts with 4 blue knots, 4 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet. Choose the correct answer:  A) 89  B) 90  C) 95  D) 97  E) 79

Solution: Repeating sequence = 4 + 4 + 2= 
4 + 4 + 2 = 10
10.   As the pattern ends in Y this could be the 9th thread or 10 thread (both are yellow)   Out of the answer choices, correct on should be a multiple of 10(since 10 threads are repeating) and if not, multiple of 10 + 9 (since 10 threads are repeating and last sequence end at first yellow)   none of the options is a direct multiple of 10 and only option that is multiple of 10; + 9 is 79 (10*7) + 9   Hence, answer is 79
Answer: E
A goods train runs at the speed of 72 kmph and crosses a 250m long platform in 26seconds. what is the length of the goods train?
Pick:
A) 230 m B) 240 m C) 260 m D) 270 m E) 250 m

Solution: Speed =(72 *5/18)m/sec= 20 m/sec.   then (x+250)/26=20   x+250 =520   x=520-250= 
520-250 = 270
270   Answer: 270 m
Answer: D
If an average hard drive had a capacity of 0.1 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choose the correct choice from the following options.
A) 256
B) 512
C) 768
D) 1024
E) 1536

Solution: 0.1*2^10=0.1*1024= 
0.1*1024 = 102.4
102.4   The answer is 1024.
Answer: D
A box contains 24 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is	Choose the correct choice from the following options: A) 4/19 B) 7/19 C) 12/19 D) 24/77 E) None

Solution: Solution   P( None is defective)   = 20C2 / 24C2   = 53/77.   P( at least one is defective)   = (1- 53/77)   = 24/77.   Answer 24/77
Answer: D
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.	Pick:  A) 197  B) 195  C) 200  D) 250  E) 210

Solution: Solution   197ccording to the division process of whole numbers, N can be written, using multiplication, as follows   N = quotient × divisor + remainder = 15 × 13 + 2 = 197   197NSWER IS 197
Answer: A
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?	Choose the correct choice from the following choices:
A) 1 : 96	B) 1 : 48	C) 1 : 84	D) 1 : 68	E) None of these

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1: 96.   1 : 96NSWER:1 : 96
Answer: A
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was? Choose the correct answer.
A) 12	B) 11	C) 10	D) 9	E) 8

Solution: Let the total units of work to be done be 360.   The units of work done by A in a single day = 8   Similarly, the units of work done by B in a single day = 9.   A and B’s one day work = 17 units   A and B worked together for some days = 17X ( Assume)   B’s work alone for 23 days = 23 x 9 = 207   So, the work done by A and B together = (360 - 207)= 
(360 - 207) = 153
153 units   Therefore, 17X= 153   => 9 units   Therefore, the number of days after which A left the work was 9 days.   ANSWER:9
Answer: D
A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 4 tons?
Choose the correct option:
A) 14
B) 20
C) 28
D) 32
E) 36

Solution: The weight of one car and one truck is 4.75 tons.   70/4.75 = 14 plus a remainder   The ferry could carry 14 cars and 14 trucks for a total of 28 vehicles.   The answer is 28.
Answer: C
Find the exact time between 7 am and 8 am when the two hands of a watch meet ?
Select.
A) 7 hrs 35 min B) 7 hrs 36.99 min C) 7 hrs 38.18 min D) 7 hrs 42.6 min E) None of these

Solution: 55 min spaces are gained in 60 min   ⇒ 35 min spaces will be gained in 38.18 min.   ⇒ Answer = 7 hrs + 38.18 min.   Answer 7 hrs 38.18 min
Answer: C