MU-NLPC/Calc-aqua_rat huggingface dataset:
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 50 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?	Choose the correct answer:
A) 1000 min B) 1200min C) 1300 min D) 1400 min E) 1600 min

Solution: volume of pool = 50*150*10 cu.ft , 80% full = 50*150*10*0.8 cu.ft water is available to drain.   draining capacity =60 cu.ft /min therefore time taken = 50*150*10*0.8/ 60= 
50*150*10*0.8/ 60 = 1_000
1000min   1000 min
Answer: A
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?	Choices:
A) $65  B) $55  C) $50  D) $60  E) $45

Solution: Call the fine F. Joe paid (1/4)F + 4 and Peter paid (1/3)F – 4, leaving (1/2)F – 5 left. If we add those three up, they should add up to F.   F = [(1/4)F + 7] + [(1/3)F – 7] + [(1/2)F – 12]   F = (1/4)F + (1/3)F + (1/2)F – 12   Multiply all terms by 12 to clear the fractions.   12F = 3F + 4F + 6F – 144   12F = 13 F – 144   –F = – 144   F = 144   Well, if the fine cost $144, then Sam paid the part not covered by Joe or Peter. Half the fine is $72, and Sam paid $12 less than this: $60.   Answer = $60
Answer: D
A certain Dark Blue paint contains 40 percent blue pigment and 60 percent red pigment by weight. A certain green paint contains 40 percent blue pigment and 60 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?	Choose the most appropriate option:  A) 3.5  B) 4  C) 4.5  D) 3  E) 5

Solution: 10 Grams of combined mixture and 40% blue pigment means that the mixtures were mixed 50% each. Thus 5 grams a piece. Out of the 5 grams of the Dark Blue paint, 60% is red. Therefore, 5*.6 = 3 Grams of red pigment
Answer: D
A certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Choose the most appropriate option: A) 25% B) 20% C) 50% D) 66 2/3% E) 75%

Solution: General formula for percent increase or decrease, (percent change):   percent=Change/Original∗100   So, the time between maintenance checks increased by 30−25/25∗100=20   Answer: 20%.
Answer: B
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 40 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 answer:
A) A) 5.61	B) B) 3.69	C) C) 10	D) D) 15	E) E) 24

Solution: Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81   New time in minutes to cross 9 miles stretch = 9*60/40 = 9*3/2= 
9*3/2 = 27/2 = around 13.5
13.5   Time difference= 3.69   Ans:3.69
Answer: B
Solution A is 40% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?  Choose the correct answer:	A) 6:4	B) 6:14	C) 4:4	D) 4:6	E) 3:1

Solution: Forget the volumes for the time being.   You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use   w1/w2 = (A2 - Aavg)/(Aavg - A1)   w1/w2 = (80 - 50)/(50 - 40)= 
(80 - 50)/(50 - 40) = 3
3/1   So the volume of the two solutions will be equal. Answer has to be 3:1.   3:1
Answer: E
How many integers between 334,700 and 458,600 have tens digit 1 and units digit 3?  Choose the correct answer
A) 10,300 B) 10,030 C) 1,353 D) 1,352 E) 1,239

Solution: There is one number in hundred with 1 in the tens digit and 3 in the units digit:13, 113, 213, 313, ...   The difference between 334,700 and 458,600 is 458,600-334,700=123,900 - one number per each hundred gives 123,900/100=1,239 numbers.   Answer: 1,239.
Answer: E
Homer wants to read 2 books from his collection. He has 6 adventure books and 4 horror books. He chooses 2 books randomly and simultaneously. What is the probability that he chose 1 adventure book and 1 horror book?	Choices
A) 16/25 B) 24/45 C) 7/8 D) 12/105 E) 10/24

Solution: The probability is equal to the number of desired choices divided by the total number of possibilities.   Probability = Favorable/Total   Total = 10C2 = 10*9/2= 
10*9/2 = 45
45   Favorable:   Pick 1 adventure book out of 6 adventure books   AND   Pick horror book out of 4 horror books   6C1*4C1= 6*4= 
6*4 = 24
24   P=24/45   When you use combination method, it is picking all possible cases and the order doesn't matter. Whereas, upon choosing probability method to solve, order matters.   Thus,   Total Probability:   Probability of choosing an adventure book first AND Probability of choosing a horror book   OR   Probability of choosing a horror book first AND Probability of choosing an adventure book   Answer: 24/45
Answer: B
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?	Choose the correct choice from the following choices.
A) 87 Kmph	B) 97 Kmph	C) 72 Kmph	D) 28 Kmph	E) 108 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 600/20= 
600/20 = 30
30 M/Sec   Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 108 Kmph   Answer: 108 Kmph
Answer: E
90% of the labours of a factory is 2700. The total labours of the factory is?  Options:
A) 2900
B) 3000
C) 3100
D) 3050
E) 2950

Solution: X * (90/100) = 2700   X = 30 * 100= 
30 * 100 = 3_000
3000   Answer: 3000
Answer: B
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar? Choose the correct option
A) 1/(XY)
B) X/Y
C) Y/X
D) 1/(X+Y)
E) 1/(X-Y)

Solution: Probability of A and B:   When two events are independent, the probability of both occurring is the product of the probabilities of the individual events: P(A and B)=P(A)∗P(B)P(A and B)=P(A)∗P(B)   P(break & black) = P(break) * P(black) --> 1/y=P(break)*1/x --> P(break)=x/y.   Answer: X/Y.
Answer: B
At a meeting of 10 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?  Choose one:
A) 263,320 B) 271,180 C) 282,240 D) 291,470 E) 308,560

Solution: 10 people can be arranged around a table in 9! ways.   Consider the two chiefs who will not sit together as a single unit.   The number of ways to arrange 9 units around a table is 8!   We need to multiply this by 2 as the two people can be switched in each arrangement.   The total number of ways to arrange the chiefs is 9! - 2*8! = 7*8! = 282,240   The answer is 282,240.
Answer: C
In what time will a train 40 m long cross an electric pole, it its speed be 144 km/hr?  Choose the correct choice from the following.
A) 2.5 sec B) 1.0 sec C) 7.5 sec D) 2.3 sec E) 1.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 40/40= 
40/40 = 1
1.0 sec.   Answer:1.0 sec
Answer: B
John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?  Choose the correct option:
A) 78%
B) 66%
C) 62%
D) 64%
E) 60%

Solution: Let N be the total number of books sold. Hence   N = 62 + 62 + 60 + 48 + 40= 
62 + 62 + 60 + 48 + 40 = 272
272   Let M be the books NOT sold   M= 800 - N = 1400- 272= 528   Percentage   66%ooks not sold / total number of books = 528/800= 
528/800 = 33/50 = around 0.66
0.66= 66%   correct answer 66%
Answer: B
In the first quarter of 2008, Harry's Hardware Store sold 300 hammers and 12,000 nails. In the second quarter of 2008, the store sold 375 hammers and 18,000 nails. By approximately what percent did the ratio of hammers sold to nails sold decrease from the first quarter to the second quarter.
Choose the correct choice from the following answers.
A) 0.4%  B) 2.1%  C) 2.5%  D) 17%  E) 25%

Solution: 1st quarter: hammers/nails = 300/12,000 = 150/6000   2nd quarter: hammers/nails = 375/18,000 = 125/6000   ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.   So, our ratio went from 150/6000 to 125/6000   Ignoring the denominators, we went from 150 to 125   The percent change = 100(difference in values)/(original value)   = (100)(150 - 125)/150   = (100)(25)/150)   = (100)(1)/(6)   = 100/6   ≈ 16.666 ;   ANSWER:17%
Answer: D
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?  Choose the correct choice from the following choices:
A) 13 Kmph	B) 14 Kmph	C) 15 Kmph	D) 11 Kmph	E) 10 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distence of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   ANSWER IS 15 Kmph
Answer: C
A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,630. By how much was the project over its budget? Answers
A) $380	B) $540	C) $1,050	D) $1,380	E) $1,430

Solution: Difficulty level: 600   $1,430ach month's budget = 12600/12= 
12600/12 = 1_050
1050   Budget for 4 months= 4*1050= 
4*1050 = 4_200
4200   Actual amount spent= 5630   Amount spent over the budget = 5630 - 4200= 
5630 - 4200 = 1_430
1430   Answer ($1,430),   Regards,
Answer: E
P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work?
Choices:	A) 11 days	B) 16 days	C) 40 days	D) 15 days	E) 19 days

Solution: B   16 days   P = 3Q   P + Q = 3Q + Q = 4Q   These 4Q people can do the work in 10 days, which means Q can do the work in  4*10= 
 4*10 = 40
40 days.   Answer : 40 days
Answer: C
The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Choices.
A) 100 kg	B) 80 kg	C) 105 kg	D) 90 kg	E) None

Solution: Solution   Total weight increased	= (8 x 5)kg   = 40 kg.   Weight of new person	= (65 + 40)= 
(65 + 40) = 105
105 kg.   Answer 105 kg
Answer: C
How many even integers n, such that 20<=n<=220 are of the form 3k+4, where k is any natural number?  Select:	A) 28	B) 31	C) 34	D) 37	E) 40

Solution: The first number is 22 = 16+6(1).   We can continue adding 6 to make a list: 22, 28, 34,...   The last number is 220 = 16+6(34)   There are 34 numbers in the list.   The answer is 34.
Answer: C
John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choose one:  A) 8  B) 7  C) 5  D) 4  E) 3

Solution: Because we have to maximize the pair of matched socks, we will remove 2 pairs(4 socks) out of 10 pairs 1 sock from the 3th pair.   Thus the no of matching socks pair remaining = 10 - 3= 
10 - 3 = 7
7   Answer 7
Answer: B
If a copier makes 5 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies?  Pick one
A) 100 B) 200 C) 150 D) 125 E) 130

Solution: 5 copies 5 seconds   6000 copies = (6000*5)/5= 
(6000*5)/5 = 6_000
6000/60= 
6000/60 = 100
100 minutes   Answer : 200
Answer: B
Souju's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age?
Select
A) 50 years  B) 62 years  C) 56 years  D) 60 years  E) 76 years

Solution: Let the age before 10 years =x. Then,   125x/100=x+10   â‡’125x=100x+1000   â‡’x=1000/25= 
1000/25 = 40
40   Present age=x+10=40+10= 
40+10 = 50
50   50 yearsNSWER:50 years
Answer: A
e.	Janet has to pay back her bank loan over 11 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, $140, ?
How much will she pay back on the eleventh month?  Choose one:
A) $155 B) $145 C) $135 D) $125 E) $130

Solution: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 11th Month is $145   Ans $145 = $145
Answer: B
If a survey shows that 30 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?	Choices
A) 56% B) 64% C) 72% D) 85% E) 86%

Solution: 30 out of 200 supports the bill and we are asked to find the percent who the does not support the bill.   3028 out of 200 supports the bill = 15 out of 100 supports the bill ( taking in % terms )   14 out of 100 supports the bill = 85 (100-15) doesn't support the bill   So, answer is (85%) 85%
Answer: D
A football team lost 5 yards and then gained 13. What is the team's progress?  Choose the correct choice from the following choices.
A) 2	B) 4	C) 5	D) 6	E) 8

Solution: For lost, use negative. For gain, use positive.   Progress = -5 + 13= 
-5 + 13 = 8
8 yards   8
Answer: E
The average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg. What might be the weight of the new girl?
Select.
A) 90 kg B) 100 kg C) 95 kg D) 85 kg E) 92 kg

Solution: Total weight increased = 10 x 5 kg = 50 kg.   Weight of new person = 50 + 50= 
50 + 50 = 100
100 kg   Answer : 100 kg
Answer: B
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 3 more than the average expenditure of all the nine. The total money spent by all of them was Options:
A) 26  B) 40  C) 29.25  D) 30.375  E) None of the above

Solution: Let the average expenditure of all the ninte be x   Then, 3 × 8 + x + 3 = 9x   ⇒ x = 3.375   ∴ Total money spent = 9x = 9 × 3.375 = 30.375   Answer 30.375
Answer: D
In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis? Choose the correct choice from the following options
A) 7	B) 8	C) 9	D) 10	E) 11

Solution: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (17-x)+(21-x)+x+2=30   40-2x+x=30   40-x=30   x=10   So 10 members play both badminton and tennis.   10
Answer: D
How many three letter words are formed using the letters of the word TIME?
Pick
A) 12	B) 65	C) 26	D) 24	E) 71

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is 4P3   = 4 * 3 * 2= 
4 * 3 * 2 = 24
24.   Answer: 24
Answer: D
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Answers.
A) 1261 B) 887 C) 2889 D) 277 E) 2991

Solution: 1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261.1261nswer:1261
Answer: A
If y>x>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. |x|<y	Choose the most appropriate option
A) I only  B) II only  C) III only  D) II and III  E) I, II and III

Solution: Assuming x and y to be integers   X=3,Y=2   X^2=3^2=9   Y^2=2^2=4   So I is true   Now lets look at option III because if option 3 is true E is the answer or else A   As per question X>Y>0 Hence |X| >Y   So OA=III only
Answer: C
A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?	Answers.
A) 1 in 16  B) 1 in 4  C) 1 in 8  D) 1 in 32  E) 1 in 3

Solution: 1/(2^2)=1in4   ANSWER:1 in 4
Answer: B
A person borrows 1000000 for 7 years at 3% p.a. simple interest. He immediately lends it to another person at 5 % p.a. for 7 years. Find his gain in the transaction per year.
Choose the correct choice from the following options
A) 20068 B) 20050 C) 20000 D) 25000 E) 28000

Solution: Gain in 7 years   = [(1000000Ã—5Ã—7/100)âˆ’(1000000Ã—7Ã—3/100)]   = (350000 â€“ 210000) = 140000   âˆ´ Gain in 1 year = (140000/7)= 
(140000/7) = 20_000
20000   Answer 20000
Answer: C
61 + 5 * 12 / (180/3) = ?	Choose one
A) 22	B) 77	C) 29	D) 62	E) 21

Solution: 61 + 5 * 12 / (180/3) = 61 + 5 * 12 / (60)   = 61 + (5 * 12)/60 = 61 + 1= 
61 + 1 = 62
62.Answer:62
Answer: D
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?  Answers
A) 126 B) 230 C) 120 D) 144 E) 250

Solution: 3/7 x â€“ 40/100 x = 12   x = 35 * 12   35 * 12 * 60/100= 
35 * 12 * 60/100 = 252
252/2= 
252/2 = 126
126   126NSWER 126
Answer: A
A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?	Choose the correct choice from the following.
A) 40%  B) 44%  C) 48%  D) 52%  E) 56%

Solution: The number of gallons in the tank is (1/4)24 = 6 gallons   The amount of sodium chloride is 0.4(6) = 2.4 gallons   40%t the start, the amount of water is 0.6(6) = 3.6 gallons   40%fter 4 hours, the amount of water is 3.6 - 0.5(4) = 1.6 gallons   The concentration of water is 1.6 / (2.4+1.6) = 40%   The answer is 40%.
Answer: A
Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.  Answers.
A) 700 kms
B) 625 kms
C) 600 kms
D) 210 kms
E) 120 kms

Solution: 700 kms   700 kms    72227 +700= 
 72227 +700 = 72_927
72927 , a palindrome
Answer: A
A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choose one
A) 7.2
B) 8.2
C) 3.5
D) 4.5
E) 6.5

Solution: speed = (600/5*60)sec   =2m/sec   =(2*18/5)= 
(2*18/5) = 36/5 = around 7.2
7.2km/hr   7.2NSWER 7.2
Answer: A
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 36 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?  Choose the correct choice from the following options.
A) 15 days	B) 18 days	C) 21 days	D) 24 days	E) 27 days

Solution: 2 oxen = 3 buffaloes = 4 cows   Also: 15 buffaloes + 8 oxen + 24 cows   = 10 oxen + 8 oxen + 12 oxen = 30 oxen   There is enough fodder for 1 oxen for 30*36 days.   40 cows + 15 buffaloes = 20 oxen + 10 oxen = 30 oxen   The new total is equal to 60 oxen instead of 30 oxen.   30*36 / 60= 
30*36 / 60 = 18
18 days   The answer is 18 days.
Answer: B
The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?  Choose the correct choice from the following answers:
A) 20
B) 99
C) 77
D) 26
E) 12

Solution: 10 * 2= 
10 * 2 = 20
20 years   20nswer: 20
Answer: A
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Choose the correct choice from the following answers
A) 19 : 6 B) 19 : 4 C) 19 : 1 D) 19 : 5 E) 19 : 3

Solution: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4= 
19/4 = 19/4 = around 4.75
4.75 litres   As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 4.75 : 1.25 = 19 : 5.   Answer:19 : 5
Answer: D
Kelly and Jody packed boxes with books. If Jody packed 30% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?  Options
A) 1 to 6  B) 1 to 4  C) 3 to 7  D) 3 to 5  E) 2 to 3

Solution: Explanation:   If Jody packed 30% of the boxes then Kelly packed 70%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 30%/70%=3/7   Answer: Option 3 to 7
Answer: C
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how much?	Choose the correct option: A) 175° B) 155° C) 145° D) 165° E) 195°

Solution: We know that angle traced by hour hand in 12 hrs = 360°   Time duration from noon to 10 minutes past 5   = 5 hours 10 minutes   =5(10/60) hour =31/6 hour   Hence the angle traced by hour hand from noon to 10 minutes past 5   =31/6×360/12=31/6×30   =31×5=155°   Answer is 155°.
Answer: B
A plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?  Select the correct option.
A) 1828 sq.m
B) 2767 sq.m
C) 2789 sq.m
D) 7200 sq.m
E) 2651 sq.m

Solution: Area of plot ABC7200 sq.m = Area of A7200 sq.mE + Area of AFB + Area of BCEF   = 1/2 * 50 * 120 + 1/2 * 40 * 30 + 40 * 90   = 3000 + 600 + 3600= 
3000 + 600 + 3600 = 7_200
7200 sq.m   Answer:7200 sq.m
Answer: D
The cost of 5 kgs. of sugar is Rs.279. What is the cost of 1 kg of sugar?	Choose the correct choice from the following options:
A) Rs.55	B) Rs.55.80	C) Rs.65.80	D) Rs.65	E) Rs.75

Solution: Explanation:   The cost of kgs. of sugar = 279x 1/5= Rs.55.80   Answer: Option :Rs.55.80
Answer: B
By how much is three-fifth of 350 greater than four- seventh of 210 ?
Answers:
A) 95
B) 110
C) 120
D) None of these
E) Cannot be determined

Solution: Solution   3/5of 350 - 4/7of 210 - 120= 
210 - 120 = 90
90.   Answer None of these
Answer: D
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?  Choose the correct answer
A) Rs.10123.77 B) Rs.10123.21 C) Rs.10123.20 D) Rs.10123.28 E) Rs.10123.21

Solution: Amount = [25000 * (1 + 12/100)3]   = 25000 * 28/25 * 28/25 * 28/25   = Rs. 35123.20   C.I. = (35123.20 - 25000)   = Rs. 10123.20   Answer:Rs.10123.20
Answer: C
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 80 watch exactly two channels. How many watch exactly one channel?	Choose the correct choice from the following:
A) 185
B) 160
C) 175
D) 190
E) 195

Solution: 250 = n(Exactly 1 channel) + n(Exactly 2 channels) + n(Exactly 3 channels)   250 = n(Exactly 1 channel) + 80 + n(Exactly 3 channels)   Let's find the value of n(Exactly 3 channels) = x   250 = n(A) + n(B) + n(C) - n(A and B) - n(B and C) - n(C and A) + n(A and B and C)   Note that each of n(A and B) is the sum of 'number of people watching exactly two channels A and B' and 'number of people watching all three channels'.   250 = 116 + 127 + 107 - n(Exactly 2 channels) - 3x + x   250 = 116 + 127 + 107 - 80 - 2x   x = 25   250 = n(Exactly 1 channel) + 80 + 25   n(Exactly 1 channel) = 160   Answer (160)
Answer: B
A bag contains 4 yellow, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Select the correct option.
A) 1/5 B) 2/9 C) 3/11 D) 4/17 E) 2/3

Solution: Total number of balls = 4+2= 
4+2 = 6
6   n(S)= 6C3 = 6*5*4 / 3*2 = 20   n(E) = 2C2* 4C1 = 4   Probability = 4/20 = 1/5   1/5nswer is 1/5
Answer: A