MU-NLPC/Calc-aqua_rat huggingface dataset:
For every $10 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Answers
A) 1 : 4 : 400
B) 1 : 4 : 100
C) 20 : 4 : 1
D) 100 : 4 : 1
E) 400 : 4 : 1

Solution: B.........M........Y   10.....0,20......Y   B.........4........1   What I did first was to turn 0.20 to 2 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:   1 : 4 : 100.........M........Y   100.....2.........Y   1 : 4 : 100........40......10   Then I multiplied every row by 40 (the LCM of 2 and 40), which led me to this:   1 : 4 : 100.........M........Y   1000...40.......10   Then I got rid of the extra zero, and in the correct order this is Y:M:1 : 4 : 100=1:4:100   ANS 1 : 4 : 100
Answer: B
A train running at the speed of 40 km/hr crosses a pole in 27 seconds. What is the length of the train?	Choose the correct choice from the following options.
A) 250  B) 300  C) 350  D) 400  E) 450

Solution: Speed=(40 * 5/18) m/sec = (100/9) m/sec Length of the train = (Speed x Time) = (100/9 *29 ) m   = 300 m.   Answer: 300
Answer: B
From a certain number of people who attended an interview, y people were selected. If instead, y+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of y if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?	Choose the correct choice from the following answers: A) 6 B) 10 C) 5 D) 2 E) 8

Solution: At least 2 interviews a day, so minimum 8 interviews in four days. Thus at least a total of 8 candidates should be there.   Let, total candidates = n   according to the question,   nCx = nC(y+2)   or, nCn-y = nCy+2 [nCr = nCn-r]   or, n-y = y+2   so, n = 2y+2   Remember total least number should be 8? So below 8 we can't expect anything.   Put y=2, then n=6 that is unacceptable.   so y is not equal to 2 .   Answer:2
Answer: D
A set of numbers has the property that for any number x in the set, x+3 is also in the set. If -3 is in the set, which of the following must also be in the set
1. -6
2. 0
3. 6
Choose one:
A) 1 only
B) 2 only
C) 1 and 2 only
D) 2 and 3 only
E) 1,2 and 3

Solution: If X is in the set than X+ 3 is also in the set   If -3 in the set than    -3+3= 
 -3+3 = 0
0 is also in the set   Since + 3 is Present, 3 + 3= 6 Is also present in the set .   Therefore Answer: 2 and 3 only
Answer: D
A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 5 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder? Choose the correct choice from the following choices:
A) $198	B) $228	C) $220	D) $230	E) $240

Solution: Wholesale cost of video recorder = 200 $   Video recorder was priced at 20 percent above 200 = 240 $   % discount given by store employee = 5   Emlpoyee paid = .95 * 240= 
.95 * 240 = 228
228 $   Answer $228
Answer: B
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?  Choose the correct answer.
A) 11 B) 40 C) 38 D) 27 E) 12

Solution: Explanation:   Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.   A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)   3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8   V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8   => 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8   => 10 - 20/3 = 10/12 A - 9/12 A   => 10/3 = A/12 => A = 40.   Answer: 40
Answer: B
A bus started its journey from Mumbai and reached Pune in 30 min with its average speed of 60 km/hr. If the average speed of the bus is increased by 10 km/hr, how much time will it take to cover the same distance?
Choose the correct choice:
A) 28 min 30 sec B) 25 min 42 sec C) 25 min 40 sec D) 25 min 43 sec E) 30 min 00 sec

Solution: Sol. Distance between Ramgarh and Devgarh =(60*30/60=30   Average speed of the bus is increased by 10 km/hr then the   speed of the bus = 70km/hr   Required time = 30*60/70= 25min 42sec   25 min 42 sec
Answer: B
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?	Options.
A) 8 kmph  B) 10 kmph  C) 12 kmph  D) 14 kmph  E) 16 kmph

Solution: Let the distance travelled by x km.   Then,	x	-	x	= 2   10	15   3x - 2x = 60   x = 60 km.   Time taken to travel 60 km at 10 km/hr = 60	hrs	= 6 hrs.   10   So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.   Required speed = 60	kmph.	= 12 kmph.   5   12 kmph
Answer: C
John has a certain number of marbles in his pocket. He is able to divide his marbles equally to five of his friend but while trying to divide that same amount of marbles to seven of his other friend he found out that some marbles are left out. What could be the number of marbles that John have?  Answers
A) 70 B) 21 C) 50 D) 35 E) 105

Solution: since John was able to divide his marble equally to 5 of his friend but not to 7 of his friend so the total marbles that he has should be divisible by 5 but not by 7.   75, 35 and 105 are all divisible by 5 and 7--- ruled out   we are now left with 21 and 50, here 21 is again divisible by 7-- wrong again.   The answer has to be 50. [ divisible by 5 but not by 7 ]   answer: (50)
Answer: C
If x is positive and y is negative, which of the following must be true? Choose the correct choice from the following.
A) The product of x and y is positive B) The sum of x and y is positive C) The sum of x and y is negative D) The difference of x and y is positive E) The sum of x^2 and y^2 is positive

Solution: To solve this question, we need to remember the following things:   -ve * -ve = +ve   +ve *+ve = +ve   -ve * +ve = -ve   Given that x = +ve and y = -ve   Checking the options:   A. The product of x and y is positive. FALSE   B. The sum of x and y is positive.   Cannot be said. This will depend on the values of x and y   C. The sum of x and y is negative   This will depend on the values of x and y   D. The difference of x and y is positive   This will depend on the values of x and y   E. The sum of x^2 and y^2 is positive   This will always be true as the square of any number is always +ve   And the summation of 2 positive numbers will always be positive.   Correct Option: The sum of x^2 and y^2 is positive
Answer: E
What is the perimeter, in meters, of a rectangular garden 8 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?  Choose the correct answer:	A) 48	B) 56	C) 64	D) 76	E) 192

Solution: Say Length of garden is L meters.   Then (L*8) = 16 * 12 [Given area is same. Area= L * B]   Therefore L works out to 24 meters.   Perimeter of Garden = 2* (24+8)= 
2* (24+8) = 64
64 meter.   Answer is 64
Answer: C
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 40, the dividend is?	Choose one:
A) 3320
B) 4040
C) 4330
D) 4334
E) 4336

Solution: Divisor = (5 * 40)= 
(5 * 40) = 200
200= 10 * Quotient = Divisor   => Quotient = 200/10= 
200/10 = 20
20   Dividend= (Divisor * Quotient) + Remainder   Dividend = (200 * 20) + 40= 
(200 * 20) + 40 = 4_040
4040   4040
Answer: B
A can do a piece of work in 15 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Answers:
A) 15
B) 10
C) 12
D) 11
E) 13

Solution: 2/15 + 4/15 + x/20 = 1   x = 12 Answer: 12
Answer: C
If |5x−6|=|x+20|, which of the following could be a value of x?	Choices:	A) 6	B) -7/3	C) −13/3	D) -6	E) 13/2

Solution: 5x - 6 = -x + 20 or 5x - 6 = x - 20   6x = 26 or 4x = -24   x = 13/3 or x = -6   Answer: -6
Answer: D
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be  Choose one:	A) 12 years	B) 20 years	C) 25 years	D) 28 years	E) None

Solution: Solution   Let the present ages of son and father be x and (60 - x) years respectively.   Then,	(60 - x) - 6 = 5(x - 6)   = 54 - x = 5x - 30   ‹=›6x = 84   ‹=›x= 14.   ∴Son's age after 6 years = (x + 6) = 20 years.   Answer 20 years
Answer: B
If there are four distinct pairs of brothers and sisters, then in how many ways can a committee of 3 be formed and NOT have siblings in it? Pick.
A) 8 B) 24 C) 32 D) 56 E) 192

Solution: let AABBCCDD is the group with same letter representing a sibling pair.   total # ways to select 3 from 8 is 8C3=56   Qtn: committee of 3 NOT having siblings in it = Total (56) - committee of 3 with siblings in it   committee of 3 with siblings = select 2As and one from rem. 6. This can be done in 4 ways as 4 different letters A,B,32 and D   = 4 * (2322*6321) = 24   Hence Answer = 56-24= 
56-24 = 32
32   ANS:32
Answer: C
Having scored 97 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings? Choose the most appropriate option:
A) 28
B) 27
C) 26
D) 22
E) 25

Solution: Explanation :   Let the average score of the first 18 innings be n   18n + 97 = 19(n+4)=> n = 21   So, Average score after 19th innings = x+4 =25.   Answer : 25
Answer: E
A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 8 from part A &5 from part B, in how many ways can he choose the questions?	Options.
A) 1100	B) 1200	C) 1235	D) 1354	E) 1140

Solution: There 10 questions in part A out of which 8 question can be chosen as = 10C8.   Similarly, 5 questions can be chosen from 10 questions of Part B as = 10C5.   Hence, total number of ways,   =10C8*10C5   =[10!/(2!8!)]*[10!/(5!*5)]   = {10*9/2}*{10*9*8*7*6/(5*4*3*2*1)}   = 1140.   1140
Answer: E
A rower can row 7 km/h in still water. When the river is running at 1 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?  Choose the correct choice from the following options.
A) 3.19  B) 3.28  C) 3.35  D) 3.43  E) 3.56

Solution: Let x be the distance to Big Rock.   time = x/6 + x/8 = 1   x = 48/14 = 3.43 km   The answer is 3.43.
Answer: D
What is the 6th digit to the right of the decimal point in the decimal equivalent of 16/45?	Choose the correct answer.
A) 5
B) 12
C) 2
D) 35
E) 4

Solution: 16/45 = 0.3555....   35 is non-terminating repeating decimal.   The 22nd digit to the right of decimal point will be 5.   5nswer 5
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?  Choose the most appropriate option:  A) Rs. 4082.40  B) Rs. 1024.21  C) Rs. 2810.6  D) Rs. 3214  E) NONE OF THESE

Solution: Explanation:   Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40   Rs. 4082.40NSWER IS Rs. 4082.40
Answer: A
Meera purchased two three items from a shop. Total price for three items is Rs.8200/- She have given Rs. 10000/- What is the balance amount meera got?	Choose one.
A) 1800 B) 1200 C) 1650 D) 800 E) 750

Solution: Total cost of Items : 8200/-   amount Paid : 10000/-   Balance receivable : 10000- 8200= 
10000- 8200 = 1_800
1800/-   1800nswer is 1800
Answer: A
In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 540. What is the sum of the last 5 integers in the sequence?  Options.
A) 585  B) 580  C) 575  D) 570  E) 565

Solution: All 5 integers are 5 numbers larger than in the first sum (eg. 1 becomes 6, 2 7...). 5*5=25+540= 
25+540 = 565
565   565
Answer: E
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?	Choose the correct choice from the following:  A) 228  B) 103  C) 286  D) 122  E) 102

Solution: Explanation:   Let the number be x   x2 - 732 = 5280   x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9= 
5280 + 4900 + 420 + 9 = 10_609
10609= 10000 + 2(100)(3) + 32 = (100 + 3)2   x = 100 + 3= 
100 + 3 = 103
103.   Answer: 103
Answer: B
Sunil invested $ 2600 fir 3 years and $ 1200 for 5 years at the same rate of Simple Interest. If the total interest from these investments is $ 930, what is the rate of interest?	Choose the correct choice from the following choices:
A) 2 3/4%
B) 5 1/3%
C) 5 1/2%
D) 6 3/4%
E) 3 2/4%

Solution: (2600x3xR)/100+(1200x5xR)/100=930   138R=930   R= 6 3/4%   Answer is 6 3/4%
Answer: D
There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 10 cans so that at least one red and at least one blue cans to remain the refrigerator.	Choose the correct choice from the following answers.
A) 460 B) 490 C) 493 D) 35 E) 445

Solution: Ways to pick 2 cans so that at least one red and at least one blue cans to remain the refrigerator =   total ways to pick 2 can out of 12 - ways to pick 2 red out of 7 red - ways to pick 2 blue out of 5 blue   12C2âˆ’7C2âˆ’5C2=66âˆ’21âˆ’10=35   ANSWER:35
Answer: D
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choose the most appropriate option
A) 3 years	B) 4 years	C) 6 years	D) 7 years	E) 8 years

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   Age of the youngest child = x = 4 years.   4 years)
Answer: B
When divided by 5, x has a remainder of 3 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10?  Options.
A) 6	B) 7	C) 8	D) 9	E) 0

Solution: x = 5k+3 and y = 5j+1   x+y = 5(j+k) + 4   When divided by 10, the remainder is either 4 or 9.   The answer is 9.
Answer: D
If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 5), what is the value of x?	Choose the correct option
A) 7	B) 11	C) 13	D) 15	E) 17

Solution: (2 to the power x) - (2 to the power (x-2)) = 3 (2 to the power 5)   2^x - 2^(x-2) = 3. 2^5   Hence x = 7.   7nswer is 7
Answer: A
How many words can be formed by using all letters of the word “QUADRIC”  Choose the correct choice:
A) 1200 B) 5040 C) 4050 D) 3440 E) 1550

Solution: The word QUADRIC contains 7 different letters.   Required number of words = 7p7 = 7! = (7x6x5x4x3x2x1) = 5040   Answer 5040.
Answer: B
Venus travels around the sun at a speed of approximately 21.9 miles per second. The approximate speed is how many miles per hour?  Choose the most appropriate option
A) 64,420  B) 78,840  C) 83,160  D) 88,970  E) 94,320

Solution: 21.9 * 3600 = 78,840   The answer is 78,840.
Answer: B
What is the ratio of 3/7 to the product 2*(7/3)?	Choose one.
A) 3:7  B) 9:98  C) 3:21  D) 1:7  E) 3:49

Solution: 3/7 / 14/3 = 9/98...   IMO option 9:98.
Answer: B
Which of the following is closest in value to (9^8)-(9^2)?
Select.
A) 9^9  B) 9^8  C) 9^7  D) 9^6  E) 9^5

Solution: 9^8 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^8)-(9^2) = ~9^8.   Answer: B.   Similar questions to practice:   Hope it helps.
Answer: B
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 80 minutes later?  Options:
A) 2(10^5) B) 8(10^5) C) (2^8)(10^5) D) (10^8)(10^5) E) (10^5)^8

Solution: Every 10 minutes, the population is double the previous population.   In 80 minutes, the population doubles 8 times.   The population then is 2^8*10^5.   The answer is (2^8)(10^5).
Answer: C
three men invested sum. and their ratio is 5:7:6. profit is 900.then b's share  Choose the correct choice from the following choices.
A) 2000	B) 2100	C) 2200	D) 350	E) 2400

Solution: b's share =7/18*900= 
7/18*900 = 350
350   ANSWER:350
Answer: D
ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?
Choose the correct choice from the following:
A) 12 B) 9√3 C) 9 D) 8 E) 3√3

Solution: So, BC = B8 = C8 = BA = A8 = 2   The parallelogram has 4 equal sides   BC = C8 = BA = A8 = 2   So The perimeter of the parallelogram will be  2*4= 
 2*4 = 8
8   Hence answer will be (8) 2
Answer: D
What is 35% of 4/13 of 585? Pick
A) 52 B) 63 C) 74 D) 85 E) 96

Solution: This problem can be solved easily if we just use approximation: 35% is a little over 1/3, while 4/13 is a little less than 4/12, which is 1/3. Thus, the answer is about 1/3 of 1/3 of 585, or 1/9 of 585. Since the first 1/3 is a slight underestimate and the second 1/3 is a slight overestimate, the errors will partially cancel each other out. Our estimate will be relatively accurate.   The number 585 is between 540 and 630, so (1/9)*585 will be about 65.   Keeping track not only of your current estimate, but also of the degree to which you have overestimated or underestimated , can help you pinpoint the correct answer more confidently.   The closest answer is 63, so this is the answer to choose.   The answer is 63.
Answer: B
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/8 for each additional day. How much does a vacation of b days cost, where b > 1.
Pick one:
A) (ab+7a)/4	B) (ab+8a)/8	C) (ab+a)/8	D) (ab+7a)/8	E) (ab+7a)/7

Solution: Cost = a + (b-1)*a/8 = (8a + (b - 1)*a)/8 = (ab+7a)/8   Answer is (ab+7a)/8
Answer: D
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?  Choose the correct choice from the following.
A) 11
B) 77
C) 30
D) 88
E) 34

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer:30
Answer: C
a pole rests against a wall, and the tip of the pole is at a height of 8m. after sometime the pole slips back by 4m and falls on the ground.what is the length of the pole?  Choose the correct choice from the following answers:
A) 10
B) 12
C) 15
D) 18
E) 20

Solution: let the distance from of the ladder from the pole be x meter. A/c to Pythagoras th., ladder= root_under( x^2 + 64).   In the second case, when the ladder moves 4 m , i.e distance from the pole = x+4, it touches the ground, means the length of ladder = x+4.   Now, equating the both lengths we get x=6, length = x+4 =10   10NSWER:10
Answer: A
A shopkeeper forced to sell at cost price, uses a 800 grams weight for a kilogram. What is his gain percent?
Options.
A) 10% B) 25% C) 11.11% D) 12 % E) None of these

Solution: Shopkeeper sells 800g instead of 1000g.   So, his gain = 1000 - 800= 
1000 - 800 = 200
200g.   Thus, %Gain= 200 *100)/800 = 25%.   answer : OPTION 25%
Answer: B
60 is increased by 50%. Find the final number.  Choose the most appropriate option.
A) 100 B) 110 C) 90 D) 30 E) 160

Solution: Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30= 
60 + 30 = 90
90.   Answer 90
Answer: C
(p/q-q/p)=21/10. Then find 4p/q+4q/p?	Choose the correct choice.
A) 58/9	B) 58/5	C) 58/7	D) 58/2	E) 58/1

Solution: Let p/q = a, then (a - 1/a) = 21/10   ⇒a2−1=a.2110⇒a2−1=a.2110   ⇒10a2−21a−10⇒10a2−21a−10 = 0   Roots of the equation = −b±b2−4ac−−−−−−−√2a−b±b2−4ac2a   a = 21±441+400−−−−−−−−√2021±441+40020   a = 21±292021±2920 = 5/2 or -2/5   For a = 5/2, 4p/q+4q/p = 58/5   For a = -2/5, 4p/q+4q/p = -58/5   Answer:58/5
Answer: B
Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?	Choose one.
A) 15 7/9 days B) 16 17/9 days C) 15 1/19 days D) 14 7/12 days E) 14 7/9 days

Solution: 1/25 + 1/35 = 12/175   175/12 = 14 7/12 days   ANSWER:14 7/12 days
Answer: D
In what time will a train 400 m long cross an electric pole, it its speed be 144 km/hr? Answers: A) 2.5 sec B) 12.9 sec C) 11.3 sec D) 21.9 sec E) 10.0 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 400/40= 
400/40 = 10
10.0 sec.   Answer:10.0 sec
Answer: E
Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 500 square feet. How many feet offence does Frank use?	Choose the correct choice from the following answers.
A) 14  B) 47  C) 70  D) 180  E) 240

Solution: Area = Length x Breadth   500 = 40 x Breadth   So, Breadth = 15 Units   Fencing required is -   Breadth + Breadth + Length    15 + 15 + 40= 
 15 + 15 + 40 = 70
> 70 feet   Answer must be (70) 70
Answer: C
Kevin sold an item for Rs.5000/- and incurred a loss of 50%. At what price should he have sold the item to have gained a profit of 50%? Choose the most appropriate option:
A) 15000  B) 14000  C) 13000  D) 12000  E) 11000

Solution: Explanation:   50% loss means SP = 50% of CP   :. CP = Rs.5000x100/50 = Rs.10000.   The SP for a gain of 50% = 10000+50% of 10000 = 10000+5000= 
10000+5000 = 15_000
Rs15000.   15000nswer: Option 15000
Answer: A
A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Choices: A) 180 m B) 270 m C) 260 m D) 280 m E) 380 m

Solution: Speed = 54 x 5/18 = 15 m/s   Length of the train = (15 x 20)m = 300 m.   Let the length of the platform be x metres.   Then, (x + 300)/38 = 15   --> x + 300 = 570   x = 270m.   Answer : 270 m.
Answer: B
In a forest 120 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest? Choose the most appropriate option: A) 1,200 B) 750 C) 1,250 D) 1,500 E) 2,500

Solution: The percentage of tagged deer in the second sample = 5/50*100= 
5/50*100 = 10
10%.   So, 120 tagged deers comprise 10% of total # of deers --> total # of deers= 120*10 = 1,200   1,200nswer: 1,200
Answer: A
When 1/10 percent of 3,000 is subtracted from 1/10 of 3,000, the difference is	Choose the correct answer:
A) 0	B) 50	C) 450	D) 397	E) 500

Solution: We can break this problem into two parts:   1) What is 1/10 percent of 3,000?   2) What is 1/10 of 3,000?   To calculate 1/10 percent of 3,000 we must first remember to DIVIDE 1/10 BY 100.   So we have: (1/10)/(100)   To divide a number by 100 means to multiply it by 1/100, so we have:   1/10 x 1/100 = 1/1,000   Thus, 1/10 percent of 3,000 = 1/1,000 x 3,000 = 3.   Now let's concentrate on part 2. We need to calculate 1/10 of 3,000. To do this we simply multiply 1/10 by 3,000.   1/10 x 3,000 = 300   The answer to part 1 is 3, and the answer to part 2 is 300. Their difference is 300 – 3 = 397.   Answer 397.
Answer: D
A work as fast as B. If B can complete a work in 8days independently,the number of days in which A and B can together finish the work in?	Choose the correct choice.
A) 2days	B) 2 2/3days	C) 4days	D) 5days	E) 6days

Solution: Ratio of rates of working of A and 2 2/3days = 2:1   ratio of times taken = 1:2   A's 1day work = 1/4   2 2/3days's 1day work = 1/8   A+2 2/3days 1day work = 1/4 + 1/8 = 3/8 => 8/3 = 2 2/3   A and 2 2/3days can finish the work in 2 2/3days   Answer is 2 2/3days
Answer: B
Three taps A,B and C can fill a tank in 12,15 and 20. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in?	Choose the correct choice from the following answers.
A) 5hours  B) 7hours  C) 6hours  D) 8hours  E) 10hours

Solution: A+7hours 1 hour work = 1/12 + 1/15 = 9/60 = 3/20   A+C 1 hour work = 1/12 + 1/20  +  1= 
 +  1 = 1
1/12 + 1/20= 8/60 = 2/15   Part filled in 2 hours = 3/20 + 2/15 = 17/60   Part filled in 6 hours = 3* 17/60 = 17/20   Remaining part = 1 - 17/20 = 3/20   Now it is the turn of A and 7hours and 3/20 part is filled by A and 7hours in 1hour   Total time taken to fill the tank = 6+1= 
6+1 = 7
7 hours   Answer is 7hours
Answer: B