MU-NLPC/Calc-aqua_rat huggingface dataset:
If 20 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?	Choose the correct choice from the following:	A) 14%	B) 25%	C) 28%	D) 34%	E) 40%

Solution: OFFICIAL SOLUTION:   If we start with 40 gallons of a mixture that is 10% grape juice, then we have:   40 × 0.10 = 4 gallons of grape juice.   40 × 0.90 = 36 gallons of other components.   If we add 20 gallons of grape juice, we will end up with 24 gallons of grape juice and 36 gallons of other components, and we will have a total of 60 gallons of the mixture.   So 24/60 of the new mixture is grape juice. Now we convert this to a percent:Percent Grape Juice = 40/100 =40%.   The correct answer is choice (40%)
Answer: E
A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:  Choose the correct choice from the following choices:
A) 15 B) 12 C) 10 D) 16 E) 18

Solution: (B+C)'s one day's work=1/9+1/12=7/36   Work done by B & C in 3 days=3*7/36=7/12   Remaining work=1-(7/12)=5/12   Now , 1/24 work is done by A in 1 day.   So, 5/12 work is done by A in  24*5/12= 
 24*5/12 = 10
10 days   ANSWER 10
Answer: C
A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a?  Choose the correct choice from the following options.
A) 280
B) 380
C) 180
D) 80
E) 90

Solution: We can see by symmetry b=c and hence all we need to calculate b and a   b=280 and a=180   ⇒ 2b−a= 380   Option(380)
Answer: B
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?  Choose the correct choice from the following choices: A) 288 B) 2778 C) 279 D) 450 E) 278

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1500 – 1050= 450   Answer:450
Answer: D
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length?
Choose the correct choice
A) 28	B) 27	C) 55	D) 59	E) 12

Solution: T = (720 + 165)/54 * 18/5= 
(720 + 165)/54 * 18/5 = 59
59   Answer: 59
Answer: D
Which number should replace both the asterisks in (* /18) x (*/162) = 1 ?  Choose the most appropriate option:
A) 27
B) 36
C) 54
D) 72
E) 90

Solution: Let (y/18) x (y/162) = 1   y^2 = 18 x 162 = 18 x 18 x 9   y = (18 x 3) = 54   The answer is 54.
Answer: C
If 3<x<6<y<11, then what is the greatest possible positive integer difference of x and y?	Choose the correct choice:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: 3 < x < 6 < y < 11;   3 < x   y < 11   3 + y < x + 11   y - x < 8.   Positive integer difference is 7 (for example y = 10.5 and x = 3.5)   Answer: 7.
Answer: E
Of all the homes on Gotham Street, 2/3 are termite-ridden, and 1/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?  Choices
A) a) 2/15	B) b) 8/15	C) c) 4/5	D) d) 2/5	E) e)1/5

Solution: let total homes be 15   termite ridden= 2/3(15)= 10   termite ridden and collapsing = 1/5(10)=2   thus homes that are termite ridden, but not collapsing = 10-2= 
10-2 = 8
8   thus required ratio= 8/15   Answer b) 8/15
Answer: B
How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276	Choose the correct choice from the following:
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Taking the sum of the digits, we have:   S1=9, S2=12, S3=18, S4= 9, S5=21, S6= 12, S7=18, S8=21, S9=15, S10=24.   Clearly S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9. So, the number of required numbers= 6.   ANSWER:6
Answer: B
How many W ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?	Select.
A) 6C4 B) 6P4 C) 4^6 D) 6^4 E) 6!

Solution: Each marble has 4 options, so there are total of W=4*4*4*4*4*4=4^6 ways.   Answer: C.   The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)4^6(r-1).
Answer: C
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? Choose the most appropriate option.
A) 27782  B) 12800  C) 28892  D) 26702  E) 27902

Solution: 16*8: x*4 = 5:2   x = 12.8 => Rs.12800   Answer: 12800
Answer: B
A 15% stock yielding 12% is quoted at:	Choose one
A) s. 83.33  B) s. 110  C) s. 112  D) s. 125  E) s. 140

Solution: Income of Rs 12 on investment of Rs 100   Income of Rs 15 on investment of ?   = (15*100)/12= 
(15*100)/12 = 125
125   ANSWER:s. 125
Answer: D
A group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over. What is the sum of the two smallest possible values of n?  Pick one.
A) 33	B) 46	C) 49	D) 53	E) 86

Solution: 3x+1 = 6y+1...........ie: 3x-6y = 0   x,y must be >1 and y is even ie ( 2,4,6,..etc)   if y = 2 thus x = 4 and thus n = 13   if y = 4 thus x is =8 and thus n= 25   13+25= 
13+25 = 38
38   86
Answer: E
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 15% food additives; 19% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Select
A) 8° B) 10° C) 18° D) 36° E) 72°

Solution: 14% microphotonics;   24% home electronics;   15% food additives;   19% genetically modified microorganisms;   8% industrial lubricants;   100-(14+24+15+19+8)= 
100-(14+24+15+19+8) = 20
20% basic astrophysics.   10% of 360° is 72°.   Answer: 72°.
Answer: E
How much water must be added to 64 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choose the correct answer:	A) 16 litres	B) 12 litres	C) 15 litres	D) 18 litres	E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 64 litres of milk   = (1⁄4 × 64) litres = 16 litres.   16 litresnswer 16 litres
Answer: A
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?  Select the correct option.
A) 22 B) 71 C) 54 D) 77 E) 99

Solution: S = 240/16 * 18/5= 
240/16 * 18/5 = 54
54 kmph   Answer: 54
Answer: C
If 2x + y = 7 and x + 2y = 5, then 5xy/3 =?
Pick one
A) A) 5	B) B) 2	C) C) 17/5	D) D) 18/5	E) E) 4

Solution: 2*(x+2y = 5) equals 2x+4y=10   2x+4y=10   - 2x + y= 7   = 3y=3   Therefore Y = 1   Plug and solve...   2x + 1 = 7   2x=6   x=3   (5*3*1)/3   = 15/3= 
15/3 = 5
5   5
Answer: A
The difference between a number and its two-fifth is 510. What is 50% of that number?	Choose the correct choice from the following:
A) 426	B) 425	C) 427	D) 428	E) 429

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   50% of 850= 425.   Answer:425
Answer: B
A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this? Choose the correct answer
A) 264  B) 328  C) 460  D) 588  E) 642

Solution: (8c6)*(7c5)   [8!/(6!*2!)]*[7!/(5!*2!)]   28*21   588   588
Answer: D
A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $250, how much was the company under budget or over budget?	Select: A) $95 under budget B) $35 under budget C) $35 over budget D) $95 over budget E) $125 over budget

Solution: The budget for 3 months is (3/12)*$1380 = $345   The company is $95 under budget.   The answer is $95 under budget.  (3/12)* 1380= 
  (3/12)* 1380 = 345
$345   The company is $95 under budget.   The answer is $95 under budget.
Answer: A
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following? Choose the correct choice from the following choices:
A) 2  B) 4  C) 5  D) 8  E) 10

Solution: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.   Hence, n=2mn=2m, where mm is a positive integer. Then,   (n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)   =4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8   Hence, the answer is (8).
Answer: D
The average mark of a class of twenty two students is 65. If four students whose marks are 25, 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.	Pick one
A) 71
B) 73
C) 57
D) 70
E) 80

Solution: Exp. Total mark of 22 students = 65*22= 
65*22 = 1_430
1430,   Total mark after the removal of 4 students= 1430 –(25+32+28+34 )   = 1430 – 119 = 1311   Approximate average mark = 1311/(22-4) = 1311/ 18 = 73   Answer: 73
Answer: B
A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choose the correct choice from the following answers.
A) 4436 toys	B) 1500 toys	C) 6113 toys	D) 2354 toys	E) 1375 toys

Solution: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 4 days) by 4.   6000 /4= 
6000 /4 = 1_500
1500 toys   correct answer 1500 toys
Answer: B
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?	Choose the correct choice from the following choices:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: 2->1   G->5   P->x; 5<x<11 r-="">11   NOW, 88000</x<11>=11*8^2*5^4*1^n   hence   no of balls drawn,   2= CANT 2E DETERMINED   G= 4   P= 2 (Only possible value is 8 )   R= 1   hence 2
Answer: B
Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 80 of the members do not use either, then the number of members using both the weight room and the pool must be between:  Choose the correct choice from the following options.
A) 40 to 100  B) 240 to 280  C) 230 to 260  D) 240 to 260  E) 200 to 260

Solution: W=260   P=300   ALL=400   N(NEITHER)=AT LEAST 80   BOTH=?   W+P-BOTH+N=ALL   260+300-BOTH+80=400   BOTH=240   now pay attention to the fact, that both at most can be 260, since W=260   240 to 260
Answer: D
From a bunch of six keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?	Select
A) 1/20 B) 1/30 C) 1/60 D) 1/80 E) 1/120

Solution: The probability is 1/6*1/5*1/4 = 1/120.   The answer is 1/120.
Answer: E
What is the smallest integer k for which 64^k > 4^19? Answers
A) 4 B) 5 C) 6 D) 7 E) 8

Solution: 64^k > 4^19   4^(3k) > 4^19   3k > 19   k = 7   The answer is 7.
Answer: D
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options.
A) 20 cm B) 15 cm C) 30 cm D) 40 cm E) 45 cm

Solution: 1: 2/5 = 5: 2   2/7 * 70= 
2/7 * 70 = 20
20   20 cmNSWER 20 cm
Answer: A
There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
Answers: A) 12. B) 9. C) 8. D) 7. E) 6.

Solution: 8 = 3 blue balls + 15 / 3   Answer: 8.
Answer: C
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months? Choose the correct choice from the following choices
A) 18:11
B) 18:15
C) 14:11
D) 18:67
E) 18:12

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.   18:11 : B   8000*18 : (8000*4) + (4000*14)   14400 : 88000   18:11:B = 18:11.18:11nswer: 18:11
Answer: A
If each term in the sum Q=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Pick one
A) 38 B) 39 C) 40 D) 41 E) 42

Solution: Min value of 'n' can be 10 i.e 4*22+6*12 =Q=> 22+22+22+22+2+2+2+2+2+2= 
22+22+22+22+2+2+2+2+2+2 = 100
100   Since we don't have 10 in the options proceed further, (10-1)+22/2=> 20 digits, which is again not in the options    (20-1) + 22/2= 
 (20-1) + 22/2 = 30
30 digits ( not in options)   (30-1) + 22/2= 
(30-1) + 22/2 = 40
40 digits   Hence 40.
Answer: C
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?  Options.
A) 33 B) 88 C) 27 D) 10 E) 88

Solution: 4/12 + x/15 = 1   x = 10   Answer:10
Answer: D
There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Answers: A) 2 B) 4 C) 8 D) 59 E) 32

Solution: lets assign variables to all the areas in Venn Diagram of Three.   three different Units are 59OG, Cat, Snake= Total = 89   Only 59og= d=15   Only Cat = c=10   Only Snake = s   Exactly 59og and Cat= 5   Exactly 59og and Snake = x   Exactly Cat and Snake = y   all three= 3   so 89=15+10+5+3+x+y+s   we need to know total snakes= x+y+s+3 = 59   answer:59
Answer: D
The area of sector of a circle whose radius is 15 metro and whose angle at the center is 42Â° is?  Select.
A) 52.6	B) 52.9	C) 52.8	D) 52.1	E) 82.5

Solution: 42/360 * 22/7 * 15 * 15= 
42/360 * 22/7 * 15 * 15 = 165/2 = around 82.5
82.5 m2   Answer: 82.5
Answer: E
The expression 10^14−100 is divisible by all of the following integers EXCEPT	Choose the correct choice from the following choices:
A) 2
B) 3
C) 4
D) 8
E) 7

Solution: Yeah. I agree this question has two answers which are (B) and (E). If 10 is power to odd number and equal or more than 5, then the answer choice (7) is correct.
Answer: E
David is able to sell a hand-carved statue for $1150 which was a 15% profit over his cost. How much did the statue originally cost him?	Choices:
A) $496.30 B) $512.40 C) $1000 D) $574.90 E) $588.20

Solution: $1000ost price = 1150/115*100= 
1150/115*100 = 1_000
1000   Answer : $1000
Answer: C
A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?  Choose the correct choice from the following options:
A) 20cs  B) cs/2  C) 84cs  D) (2cs)/12  E) (24c)/s

Solution: Ans: 84cs   Solution: simple multiplication s students , c classes , 7 books/ month= 84 books a year   total number of books = 84cs
Answer: C
A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?  Answers:
A) 6  B) 12  C) 18  D) 24  E) 30

Solution: 100 ---- 200 ---- 6   400 ---- 6   800 ---- 6   ------   18 years   Answer: 18
Answer: C
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choose the correct choice.
A) 5	B) 2	C) 9	D) 7	E) 1

Solution: 1250 = D(100/4)2   D = 2   Answer: 2
Answer: B
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Options
A) 8118	B) 8127	C) 8618	D) 8112	E) 8128

Solution: A = 7500(26/25)2   = 8112   Answer: 8112
Answer: D
There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choose the correct choice from the following choices.
A) 1/3  B) 1/4  C) 1/2  D) 1/5  E) 1/6

Solution: taking 2 red shoe the probablity is 6C2   from 10 shoes probablity of taking 2 red shoe is 6C2/10C2=1/3   1/3NSWER:1/3
Answer: A
If 5^y+ 6^(y) = 61, which of the following is the value of y?  Pick one:
A) 5
B) 1
C) 3
D) 4
E) 2

Solution: Plugging in the various option into the equation to find out which is correct:   5^y+ 6^(y) = 61   5^2+ 6^(2) = 61 Ans. 2
Answer: E
7 teams compete in a track competition. If there are 17 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event? Choose the correct choice.
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: 3(max wins) x 5 = 15 (5 teams win three events)   One team wins the other two events.   The answer is 6.
Answer: D
In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ? Pick one:
A) 3
B) 5
C) 10
D) 13
E) 15

Solution: The average number of books per student was 2means that total of   2*20= 
  2*20 = 40
40 books were borrowed;   2+8+5= 
2+8+5 = 15
15 students borrowed total of  2*0+8*1+5*2= 
 2*0+8*1+5*2 = 18
18 books;   So  40-18= 
 40-18 = 22
22 books are left to distribute among 20-15= 
20-15 = 5
5 students, these 5 arethe rest who borrowed at least 3 books;   Tomaximizethe number of books one student from above 5 could have borrowed we shouldminimizethe number of books other 4 students from 5 could have borrowed. Minimum these 4 students could have borrowed is 3 books per student, so total number of books they could have borrowed is 4*3= 
4*3 = 12
12 books. So the 5th student could have borrowed is  22-12= 
 22-12 = 10
10 books.   Answer: 10.
Answer: C
A certain basketball team that has played 2/3 of its games has a record of 18 wins and 2 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?	Select:
A) 7 B) 6 C) 5 D) 4 E) 3

Solution: 18 wins, 2 losses - total 20 games played.   The team has played 2/3rd of all games so total number of games = 30   3/4th of 30 is 22.5 so the team must win 23 games and can afford to lose at most 7 total games. It has already lost 2 games so it can lose another 5 at most.   Answer (5)
Answer: C
A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,600 to 3,000 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Choose the correct option.
A) 110	B) 128	C) 115	D) 130	E) 120

Solution: to get maximum vehicles we must take into consideration the minimum weight i.e 1600 pounds here   since , 1 ton = 2000 pounds   100 tons will be 200,000 pounds   from the answer choices:   let max number of vehicles be 120   total weight will be = 120*1600= 
120*1600 = 192_000
192000 pounds , which is lesser than the maximum weight allowed .   Ans: 120
Answer: E
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many L cubes are painted on only 2 faces?  Pick one.
A) 12  B) 8  C) 6  D) 10  E) 16

Solution: 1) Draw a simple cube   2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.   3) Remember that the OUTSIDE of the cube is the part that's painted....   The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube.L= 4 + 4 + 4= 
4 + 4 + 4 = 12
12. 12nswer 12
Answer: A
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 8 on Wednesday, what would be the value of D calculated on the following Saturday?  Pick
A) 1680
B) 1830
C) 2250
D) 2400
E) 3260

Solution: On Saturday, the value would be   7*6*5*8= 
  7*6*5*8 = 1_680
1680   The answer is 1680.
Answer: A
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 100kmph, find the rate at which the train B runs.	Pick one
A) 40
B) 60
C) 120
D) 80
E) 150

Solution: If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:   Sa/Sb = √(b/a)   i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.   Sa/Sb = √(4/9) = 2/3   This gives us that the ratio of the speed of A : speed of B as 2:3.   Since speed of A is 80 kmph, speed of B must be 100*(3/2) = 1520 kmph   150
Answer: E
If the average marks of three batches of 55, 60 and 45 students respectively is 30, 55, 60, then the average marks of all the students is: Choose the correct choice.
A) 53.33  B) 54.68  C) 55  D) 47.81  E) None of these

Solution: Explanation:   Required average = (55 × 30 + 60 × 55 + 45 × 60/55 + 60 + 45)   = (1650 + 3300 + 2700/160)   = 7650/160   = 47.81   Answer: 47.81
Answer: D
Machine A takes 100 hours to complete a certain job and starts that job at 7AM. After two hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the jobif it had worked alone for the entire job?  Choose the correct choice from the following choices
A) 10.11
B) 9.99
C) 11.1
D) 44.11
E) 1.01

Solution: Let us assume total job = 100 units   A finishes 100 units in 100 hrs(given)   Hence A (working rate)= 1 units /hr   Now Given that A works for 2 hr( so 2 units done) then A and B finish total work in 15 hours. Hence A and B finish 98 units in 9 hours. Of these 1x9=9 units were done by A. Hence B did 89units in 9 hours.   Hence B(working rate)= 89/9 units /hr   Hence B takes 100x9/89 = 10.11 hours to complete the job.   10.11nswer 10.11.
Answer: A
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?	Answers:
A) Rs.3776  B) Rs.3729  C) Rs.3720  D) Rs.3778  E) Rs.3992

Solution: A = P(1 + TR/100)   => 3600 = 3000[1 + (4 * R)/100] => R = 5%   Now R = 6%   => A = 3000[1 + (4 * 6)/100]   = Rs.3720.   Answer: Rs.3720
Answer: C
Find the area of circle whose radius is 7m?
Choose the correct choice from the following answers:
A) 187	B) 154	C) 177	D) 288	E) 298

Solution: 22/7 * 7 * 7= 
22/7 * 7 * 7 = 154
154   Answer:154
Answer: B