MU-NLPC/Calc-aqua_rat huggingface dataset:
The number of livestock in a farm at the beginning of year 2000 was 110,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 110,000. Which of the following expressions is correct? Choose the correct choice from the following choices.
A) q>p
B) p > q
C) p = q
D) With the exception of 1 instance, p will be equal to q
E) There is no relation between p and q

Solution: Number plugging in will be best strategy for this question.   Let p = 5%,   Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence p > q is the correct answer.
Answer: B
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $2,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
Pick one:
A) $12,000	B) $18,000	C) $15,000	D) $ 4,500	E) $4,000

Solution: sometime, setting up an equation is an easy way to go with:   360 + 0.06 (x - 2000) = 0.08 x   x = 12000   $12,000ns : $12,000
Answer: A
Panjali walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?	Choose the correct choice from the following:
A) 24  B) 44  C) 58  D) 60  E) 62

Solution: Panjali walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3= 
18/3 = 6
6 Hours   Second day time of walk= 6-1= 
6-1 = 5
5 hours and Speed= 3+1= 
3+1 = 4
4 miles per hour i.e. Distance walked on second day= 5*4= 
5*4 = 20
20 miles   Third day time of walk= 6 hours and Speed = 4 miles per hour i.e. Distance walked on second day = 6*4= 
6*4 = 24
24 miles   Total Distance travelled on three days= 18+20+24= 
18+20+24 = 62
62   Answer: Option 62
Answer: E
A sum fetched a total simple interest of 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum?  Select the correct option
A) 5768  B) 8925  C) 2345  D) 6474  E) 8723

Solution: 8925   8925   Principal = (100 x 4016.25)/(9 x 5)   = 401625/45= 
401625/45 = 8_925
8925.
Answer: B
How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 4 percent sugar solution?  Pick one:
A) 20
B) 25
C) 30
D) 35
E) 40

Solution: Let x be the amount that needs to be evaporated.   0.02(50) = 0.04(50-x)   0.04x = 2 - 1= 
2 - 1 = 1
1/0.04= 
1/0.04 = 25
25 liters   The answer is 25.
Answer: B
A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution	Choose the correct choice from the following options:
A) 1.8  B) 1.4  C) 1.2  D) 1.0  E) 0.8

Solution: In 4 gallons of the solution there are 0.9∗4=3.80 gallons of glycerin. We want to add ww gallons of water to 4 gallons of solution so that these 3.6 gallons of glycerin to be 75% of new solution: 0.9∗4=0.75(4+w) --> w=0.8   Answer: 0.8.
Answer: E
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 18 kmph, find the speed of the stream?  Choose one:
A) 8 kmph
B) 9 kmph
C) 7 kmph
D) 6 kmph
E) 5 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 18/3= 
18/3 = 6
6 kmph.   Answer: 6 kmph
Answer: D
2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples?	Choose the most appropriate option:	A) 15	B) 16	C) 17	D) 18	E) 19

Solution: 2o+3b+4a=15 (1)   3o+2b+1a=10 (2)   add eq (1)&(2),   5o+5b+5a=25   o+b+a=5   3o+3b+3a=15rs   15NSWER:15
Answer: A
The function g(y) is defined for integers y such that if y is even, g(y) = y/2 and if y is odd, g(y) = y + 5. Given that g(g(g(g(g(y))))) = 19, how many possible values for y would satisfy this equation?  Choose one
A) 1  B) 5  C) 7  D) 8  E) 11

Solution: Let me define terms:   in g(y) = R   y is argument, R is result, g() is function,   in g(g(g(g(g(y))))), g1 is inner most, g5 is outermost for identification.   From definition of function g, we can deduce that:   If Result is even then two possibilities for argument = 1 Even 1 Odd   If Result is odd then one possibility for argument = 1 Even   Since final result = 19 = Odd   Possibilities:   g1:1 Even   g2: 1*(Even,Odd ) =1 Even 1 Odd   g3: 1*(Even,Odd) + 1 Even =2 Even 1 Odd   g4: 2*(Even, Odd) + 1 Even =3 Even 2 Odd   g5: 3*(Even, Odd) + 2 Even =5 Even 3 Odd = Total 8   Ans 8 it is!
Answer: D
After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 2 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7	Pick
A) A  B) B+  C) B  D) B-  E) C+

Solution: Grade: A | A- | B+ | B | B- | C+ | C | C-   Value: 4 |3.7|3.3|3| 2.7 | 2.3 | 2 | 1.7   7.4 + 3.3 + 3 + x = 3.5 * 5= 
3.5 * 5 = 17.5
17.5 - 13.7= 
17.5 - 13.7 = 3.8
3.8   Grade A is required to qualify   Answer= B-   B-
Answer: D
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 242 passengers. Find the no of passengers in the beginning?
Select the correct option.
A) 292
B) 270
C) 192
D) 144
E) 168

Solution: Let no of passengers in the beginning be X   After first station no passengers=(X-X/3)+280=2X/3 +280   After second station no passengers =1/2(2X/3+280)+12   1/2(2X/3+280)+12=242   2X/3+280=2*230= 
2*230 = 460
460 - 280= 
460 - 280 = 180
180   2X/3=180   X=270. So the answer is option 270) 270.
Answer: B
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together? Answers:  A) 25  B) 20  C) 35  D) 36  E) 38

Solution: we can either choose all 4 people from 5 manager who have no problems or choose 3 from the 5 and 1 from the 2 managers who have a problem sitting together   so 5C4 + (5C3 * 2C1)   this is   5 + 20= 
  5 + 20 = 25
25   25nswer : 25
Answer: A
On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?
Choose the correct choice from the following answers:
A) 500
B) 600
C) 700
D) 800
E) 900

Solution: Sol.   = 72 ÷ 12 × 100   = 600.   Answer :600
Answer: B
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Select the correct option:
A) 67%
B) 62%
C) 24%
D) 64%
E) 66%

Solution: r = 3 πr2 = 9   r = 5 πr2 = 25   25 π – 16 π   100 ---- ? => 64%   Answer: 64%
Answer: D
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value W of 100th term?  Choose the correct choice from the following options:
A) 126 B) 192 C) 232 D) 252 E) 342

Solution: (1~99) 19, (100~199)  19, (200~299) 19. The 100th term should be 100-(19+19+19)= 
100-(19+19+19) = 43
43th number. Hence, the correct answer W is 342. The correct answer is 342.
Answer: E
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?
Pick one
A) 19:4
B) 19:2
C) 19:8
D) 19:5
E) 19:6

Solution: Explanation:   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: Option 19:5
Answer: D
Kunal bought a suitcase with 15% discount on the labelled price. He said the suitcase for Rs.2880 with 20% profit on the labelled price. At what price did he buy the suitcase? Choose the correct choice.
A) Rs.2040  B) Rs.2400  C) Rs.2604  D) Rs.2640  E) None

Solution: Solution   Let the labelled price be Rs.x. Then, 120% of x = 2880   Therefore	x=(2880×100/120)   = 2400.   C.P = 85% of Rs.2400	= Rs(85/100x2400)   =Rs.2040.   Rs.2040nswer Rs.2040
Answer: A
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table? Pick:
A) 6727 B) 6887 C) 6728 D) 6625 E) 2871

Solution: :   CP = SP * (100/(100 + profit%))   = 8215(100/124) = Rs. 6625.   Answer: 6625
Answer: D
How many of the positive factors of 36 are not factors of 72 Options
A) 0  B) 3  C) 4  D) 5  E) 1

Solution: Factors of 36 - 1,2,3,4,6,9,12,18,36,   factors of 72 - 1,2,3,4,6,8,9,12,18,24,36,72,   Comparing both, we have no factors of 36 which are not factors of 72 - 0   0nswer(0)
Answer: A
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 245, how much must C pay as his share of rent?  Choose the correct answer:
A) 45 B) 50 C) 55 D) 63 E) none

Solution: Sol.   A : B : C = 10 * 7 : 12 * 5 : 15 * 3 = 70 : 60 : 45 = 14 : 12 : 9.   âˆ´ Câ€™s rent = Rs. [245 * 9/35] = Rs. 63.   Answer 63
Answer: D
Find the missing figures :
?% of 25 = 20125 Options:  A) 8.5  B) 6.5  C) 8.7  D) 7.7  E) 4.5

Solution: (i)	Let x% of 25 = 2.125. Then , (x/100)*25 = 2.125   X = (2.125 * 4)= 
(2.125 * 4) = 8.5
8.5   8.5nswer is 8.5.
Answer: A
A trader has 70 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?  Choices:
A) 7 and 63 kg  B) 10 and 40 kg  C) 15 and 35 kg  D) 20 and 30 kg  E) 40 and 30 kg

Solution: 7 and 63 kglligation Method   I P7 and 63 kgRT II P7 and 63 kgRT   14 (x1) -6 (x2)   \ /   x   / \   (x2-x) (x-x1)   2 18   1 9   Ratio of quantities sold at 14% profit and 6% loss = 1: 9   Quantity sold at 14% profit = 70/1+9 *1 = 7 kg   Quantity sold at 6% loss = 70/1+9 *9 = 63 kg   7 and 63 kgNSWER:7 and 63 kg
Answer: A
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choose the correct choice from the following answers
A) 3  B) 6  C) 9  D) 7  E) 2

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer:3
Answer: A
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?	Choose the most appropriate option
A) 16	B) 20	C) 24	D) 28	E) 30

Solution: 30xplanation:     20 + 24 + 8 * 2= 
  20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30   30
Answer: E
P is a prime number. If 6p is between 15 and 95, which of the following J can be a value of 7p + 2?  Choose the correct choice:
A) 15
B) J=79
C) 121
D) 65
E) 21

Solution: [3,5,7,11,13] are prime numbers that fits this equation 15< 6X <95. Afterwards subtract 2 from all the answer n see if it's divisible by 7. Therefore A and E are out. Leaves out with B C D.   B =11   C =17   D = 9   Only 11 is the set of prime numbers that fit between 15 and 95. Therefore 79 is the answer.J=79
Answer: B
In a lottery there are 100 prizes and 300 blanks. A lottery is drawn at random. What is the probability of getting a prize?	Choose the correct choice from the following options
A) 1/2
B) 5/400
C) 1/5
D) 1/3
E) 1/4

Solution: total draws = prizes+blanks= 100+300= 
100+300 = 400
400   probability of getting a prize= 100/400 = 1/4   correct option is 1/4
Answer: E
A man buys Rs. 56 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
A) s. 12
B) s. 15
C) s. 18
D) s. 21
E) s. 42

Solution: Dividend on Rs. 56 = Rs.	9/100	x 56 =Rs.	5.04	.   Rs. 12 is an income on Rs. 100.   Rs.	5.04	is an income on Rs.100/12 x 5.04	= Rs. 42.   Answer: Option s. 42
Answer: E
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--	Choose the correct choice from the following answers:
A) 12
B) 19
C) 360
D) 580
E) 720

Solution: 5C3 * 4C2 * 4C2 = 10*6*6= 
10*6*6 = 360
360.   Answer: 360.
Answer: C
A can run 160 metre in 28 seconds and B in 32 seconds. By what distance A beat B?  Options:  A) 38 metre  B) 28 metre  C) 20 metre  D) 15 metre  E) 28 metre

Solution: 20 metrelearly, A beats B by 4 seconds   Now find out how much B will run in these 4 seconds   Speed of B = Distance/Time taken by B=160/32= 
160/32 = 5
5 m/s   Distance covered by B in 4 seconds= Speed Ã— time =5Ã—4=20 metre   i.e., A beat B by 20 metre   Answer is 20 metre
Answer: C
A train running at the speed of 30 km/hr crosses a pole in 6 sec. What is the length of the train? Choose the correct answer:
A) 20 m  B) 70 m  C) 50 m  D) Cannot be determined  E) None of these

Solution: Speed = 30 * 5/18 = 25/3 m/sec   Length of the train = speed * time = 25/3 * 6= 
25/3 * 6 = 50
50 m   ANSWER:50 m
Answer: C
x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?  Choose the correct option:
A) 24
B) 21
C) 20
D) 17
E) 15

Solution: x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Answer: 15.
Answer: E
Last week David spent 40 percent of his wages on recreation. This week, his wages are 5 percent less than last weekʼs wages and he spent 50 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week Select
A) 118.75%	B) 128.75%	C) 116.75%	D) 117.75%	E) 114.75%

Solution: Say David's wages last week were $100, so he spent  0.40*100= 
 0.40*100 = 40
$40 on recreation;   This week's wages is 0.95*100= 
0.95*100 = 95
$95, so he spends   0.5*95= 
  0.5*95 = 47.5
$47.5 on recreation;   47.5/40= 
47.5/40 = 1.1875
1.1875, hence the amount he spends on recreation this week is 118.75% of the amount he spent on recreation last week:   40*1.1875= 
  40*1.1875 = 47.5
47.5   118.75%nswer: 118.75%
Answer: A
The arithmetic mean of the scores of a group of students in a test was 72. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?	Choose the most appropriate option.
A) A)81.40
B) B)81.70
C) C)87.72
D) D)81.10
E) E)81.29

Solution: Let the required means score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 72 * 100   = 1600 + 775 + 55x = 7200   = 55x = 4825   = x = 565/11 =87.72   Answer:87.72
Answer: C
A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
Choose one:  A) 1/2  B) 1/4  C) 1/8  D) 1/16  E) 1/32

Solution: There are 4*4= 
4*4 = 16
16 possibilities.   Bob has 2 chances so the probability is 2/16= 1/8.   The answer is 1/8.
Answer: C
In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 150 more than the correct answer. Find the number.  Choose the most appropriate option:
A) 125
B) 288
C) 384
D) 400
E) 500

Solution: Explanation:   Let the number be x.   5*x/6 = 5*x/16 + 150   25*x/48 = 150   x = 288   ANSWER 288
Answer: B
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?  Pick one:
A) Rs. 1991
B) Rs. 2991
C) Rs. 3991
D) Rs. 4991
E) Rs. 5991

Solution: Explanation:   Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs. [ (6500 x 6) – 34009 ]   = Rs. (39000 – 34009)   = Rs. 4991.   Answer Rs. 4991
Answer: D
If C.P. of 28 books is equal to S.P of 30 books , then your gain or loss is ?
Choose the correct choice from the following choices:
A) 23 1/3 gain % B) 30 10/23 loss % C) 6.67 loss % D) 30 1/3 loss % E) 40 1/3 loss %

Solution: Say the cost price of 28 books is $28 so $1 for a book.   The cost of 30 books would be $30, and the selling price of 30 books would be 28$, hence the loss = ($30 - $28)/$30 = ~6.67%.   Answer: 6.67 loss %.
Answer: C
Equal weights of two alloys containing tin, copper and lead in the ratio 1:2:3 and 4:5:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Options
A) 41:81:37
B) 3:9:8
C) 1:2:2
D) 6:4: 9
E) 4:8:9

Solution: Let the weight of the two alloys be w each   Required ratio =   (1w/6 +4w/12): ( 2w/6 +5w/12 ): (3w/6+3w/12)   = 6w/12 : 4w/12 : 9w/12   = 6:4: 9   ANSWER:6:4: 9
Answer: D
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?  Choose the correct choice from the following choices:
A) 230
B) 99
C) 88
D) 65
E) 44

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.   230nswer: 230
Answer: A
A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choose the correct choice from the following answers:
A) 277 B) 269 C) 124 D) 145 E) 123

Solution: Since each ring consists of five different letters, the total number of attempts possible with the three rings is   = 5*5*5= 
5*5*5 = 125
125. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 125 - 1= 
125 - 1 = 124
124.   Answer:124
Answer: C
A man can row 2 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Select
A) 1.8	B) 1.9	C) 1.2	D) 1.7	E) 1.3

Solution: M = 2   S = 1.2   DS = 2.4   US = 0.8   x/1.2 + x/0.8 = 1   x = 0.6   D = 0.6 * 2= 
0.6 * 2 = 1.2
1.2   Answer:1.2
Answer: C
What is the area of square field whose side of length 10 m?  Choose the correct answer
A) 100
B) 662
C) 772
D) 882
E) 21

Solution: 10 * 10= 
10 * 10 = 100
100 sq m   100nswer:100
Answer: A
If k is the greatest positive integer such that 3^k is a divisor of 15! then k =  Choose the correct choice from the following options:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: For solving this type of tasks we can use such approach   15 / 3= 
15 / 3 = 5
5   15 / 3^2= 1 and remainder   and 3^3 is more than 15 so we stop on second exponent   5 + 1= 
5 + 1 = 6
6   so maximum value of k= 6   And answer is 6
Answer: D
P is able to do a piece of work in 20 days and Q can do the same work in 10 days. If they can work together for 2 days, what is the fraction of work left?  Pick one:  A) 5/10  B) 9/10  C) 7/10  D) 6/10  E) 4/10

Solution: Explanation :   Amount of work P can do in 1 day = 1/20   Amount of work Q can do in 1 day = 1/10   Amount of work P and Q can do in 1 day = 1/20+ 1/10 = 3/20   Amount of work P and Q can together do in 2 days = 2 × (3/20) =3/10   Fraction of work left = 1 – 3/10= 7/10   Answer : Option 7/10
Answer: C
A retailer sells 6 shirts. The first 2 he sells for $40 and $50. If the retailer wishes to sell the 6 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 4 shirts?	Options:	A) $37.00	B) $40.00	C) $45.50	D) $48.00	E) $52.50

Solution: First 2 shirts are sold for $40 and $50=$90.   To get average price of $50,total sale should be 6*$50=$300   So remaining 4 shirts to be sold for $300-$906* 50= 
6* 50 = 300
$300   So remaining 4 shirts to be sold for $300-$90=$210   Answer should be 210/4300- 90= 
300- 90 = 210
$210   Answer should be   210/4= 
  210/4 = 105/2 = around 52.5
$52.50 that is $52.50
Answer: E
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ? Choose the correct choice from the following.
A) 33 1/3 B) 28 7/9 C) 29 7/9 D) 30 7/9 E) None of these

Solution: Explanation:   33 1/3s Trains are moving in same direction,   So, Relative Speed = 40-20= 
40-20 = 20
20 kmph= 20*(5/18) = 50/9 m/sec   Length of Train= Speed * Time   Length=50/9âˆ—6   =300/9   =33 1/3   Option 33 1/3
Answer: A
If the simple interest on $2000 increase by $40,when the time increase by 4 years. Find the rate percent per annum. Choose the correct choice from the following:	A) 1.2%	B) 0.5%	C) 0.7%	D) 0.9%	E) 0.3%

Solution: Applying the above formula, we have   40=2000*r*4/100   r=40*100/2000*4=0.5%.   Answer is 0.5%
Answer: B
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?  Pick.
A) 76 hours
B) 12 hours
C) 15 hours
D) 17 hours
E) 16 hours

Solution: The part of the tank filled by three pipes in one hour   = 1/8   => The part of the tank filled by two pipes in 1 hour   = 2/3 * 1/8 = 1/12.   The tank can be filled in 12 hours.   Answer:12 hours
Answer: B
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss? Choose the correct choice:
A) 29 B) 15 C) 27 D) 21 E) 12

Solution: CP of 20 dozen of bananas = 15 * 20 = Rs. 300   Number of bananas which are rotten = 1/4 * 20= 
1/4 * 20 = 5
5 dozen.   SP of two-third of remaining bananas= (2/3 * 15) * 22.5 = Rs. 225   SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.   SP of 1 dozen bananas = 75/5   = Rs.15.   Answer:15
Answer: B
Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 20
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 66 scores?
Choices:
A) a) 60-69  B) b) 70-79  C) c) 80-89  D) d) 90-99  E) e) Cannot determine.

Solution: 33th person   80-89 c) 80-89
Answer: C
A certain investment grows at an annual interest rate of 8%, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 16? Choose the most appropriate option
A) 16 = 1.02^(x/4)  B) 2 = 1.02^x  C) 16 = 1.08^(4x)  D) 2 = 1.02^(x/4)  E) 1/16 = 1.02^(4x)

Solution: Now we can take the fourth root of both sides of the equation. (i.e.the equivalent of taking the square root twice) We will only consider the positive root because a negative 2 doesn't make sense here.   161/4 = [(1.02)^(4x)]^(1/4)   2 = (1.02)^x   The correct answer is 2 = 1.02^x."
Answer: B