MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the area of the square field if a train 800 metres long passes the field with a speed of 120 kmph in one minute.	Choose the correct option:
A) 1.44 sq. km
B) 4 sq. km
C) 2 sq. km
D) 2.64 sq. km
E) None of these

Solution: Explanation:   120 km/hr = 120 * 5/18 = 33.33 m/s   v = d/t ; 33.33 = d/60   d = 2000 m   Hence, in one minute the train travels 2000 m. But, as the train is 800 m long and it passes the field, the length of the field is 2000 – 800 = 1200 m.   Area = 1200 * 1200 = 1.44 sq. km   1.44 sq. kmNSWER: 1.44 sq. km
Answer: A
The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?	Choose the correct choice from the following answers:
A) A)200
B) B)2000
C) C)800
D) D)2100
E) E)1100

Solution: The total of ten numbers = 10X210 = 2100   The total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000   So, the middle number is  (2100 - 1000 )= 
 (2100 - 1000 ) = 1_100
1100   1100
Answer: E
A certain company plans to sell Product X for p dollars per unit, where p is randomly chosen from all possible positive values not greater than 100. The monthly manufacturing cost for Product X (in thousands of dollars) is 12 - p, and the projected monthly revenue from Product X (in thousands of dollars) is p(6 - p). If the projected revenue is realized, what is the probability that the company will NOT see a profit on sales of Product X in the first month of sales?  Choose the most appropriate option:	A) 0	B) 1/100	C) 1/25	D) 99/100	E) 1

Solution: Profit=Revenue-Cost=p(6 - p)-(12-p).   Let's see for which range of p company will see a profit on sales, so for which range of p the following holds true: p(6−p)−(12−p)>0 --> 6p−p2−12+p>0 --> p2−7p+12<0 --> (p−4)(p−3)<0 --> 3<p<4. So the probability that company will see a profit on sales is 1100 (1 unit range of p out of 100).   The probability that the company will NOT see a profit on sales is 1−1100=99100.   Answer: 99/100.
Answer: D
A bakery has 6 employees. It pays annual salaries of $18,000 to each of 2 employees, $20,000 to 1 employee, and $21,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Choose the correct option
A) $19,200  B) $19,500  C) $19,800  D) $20,000  E) $20,400

Solution: average = 2(18000)+(20000)+3(21000) / 6 = $19,833   The answer is $19,800.
Answer: C
Worker A takes 8 hours to do a job. Worker B takes 12 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? Pick
A) 40 days  B) 24/5 days  C) 39/9 days  D) 30/9 days  E) 60/9 days

Solution: A's one hour work = 1/8.   B's one hour work = 1/12.   (A+B)'s one hour work = 1/8+1/12 = 5/24.   24/5 daysoth A & 24/5 days can finish the work in 24/5 days   24/5 days
Answer: B
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer) Choose the correct option:	A) 4269	B) 4267	C) 4260	D) 4266	E) 4262

Solution: CI = 14800{ [ 1 + 13.5/100]2 - 1 }   = 14800 { [1 + 27/200]2 - 1   = 14800 { 2 + 27/200}{27/200}   = (74)[2 + 27/200](27) =   1998[2 + 27/200] = 3996 + 269.73 = Rs.4266   Answer: 4266
Answer: D
A train 550 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Choose the most appropriate option.
A) 30  B) 60  C) 25  D) 40  E) 10

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [550 * 3/55= 
550 * 3/55 = 30
30 sec   30nswer: 30
Answer: A
The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :	Choose the correct choice from the following options:
A) 124 m2	B) 126 m2	C) 136 m2	D) 158 m2	E) None of these

Solution: Area of the outer rectangle = 22 Ã— 16 = 352 m2   Area of the inner rectangle = 18 Ã— 12 = 216 m2   Required area = (352 â€“ 216) = 136 m2   Answer 136 m2
Answer: C
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?	Choose one
A) 220010 B) 145778 C) 220110 D) 235467 E) 220001

Solution: (555 + 445) * 2 * 110 + 10 = 220000 + 10= 
220000 + 10 = 220_010
220010   220010
Answer: A
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?  Choose the correct choice from the following options:
A) 30 miles / hour
B) 90 miles / hour
C) 60 miles / hour
D) 80 miles / hour
E) 70 miles / hour

Solution: We first convert the time of 4 hours 41 minutes in minutes   4 hours 41 minutes = 4 ? 60 + 41 = 281 minutes   Average speed S is given by distance / time. Hence   S = 281 miles / 281 minutes = 1 mile / minute   = 60 miles / hour   correct answer 60 miles / hour
Answer: C
4/x + 3x = 3(x+8) Answers.
A) -9 B) -1/3 C) 1/6 D) 1/9 E) 9

Solution: We can solve - expand the right side, multiply by x on both sides and then subtract away the 3x^2 terms:   (4/X) + 3x = 3(x+8)   (4/x) + 3x = 3x + 24   4 + 3x^2 = 3x^2 + 24x   4 = 24x   1/6 = x   and to confirm, you can plug that answer back into the original equation to see that it makes the left and right sides equal.   1/6
Answer: C
Among the two clocks, clock A gains 20 seconds per minute. If clock A and B are set at 2 0'clock, when clock A is at 7:20, what does clock B show? Options
A) 5:30  B) 6:00  C) 5:45  D) 6:20  E) 3:30

Solution: Clock A gains 20 seconds per minute, 1200 seconds per hour or 20 minutes per hour.   The two clocks show 2:00 at 2 0'clock   At 3:00 -   Clock 6:00 is at 3:00   Clock A is at 3:20 (1 hour + gains 20 minutes)   AT 4:00 -   Clock 6:00 is at 4:00   Clock A is at 4:40 (2 hours + gains 40 minutes)   In 4 hours the clock A gains  4*20= 
 4*20 = 80
80 minutes or 1 hour 20 minutes   If clock A is at 7:20 the clock 6:00 is at 6:00   Answer is 6:00
Answer: B
If eight machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job? Choose the most appropriate option.
A) 45  B) 60  C) 75  D) 96  E) 100

Solution: using the std formula   m1d1h1/w1=m2d2h2/w2   substituting the values we have   8*1/2*4/3=2*5/3*x (converted 30 min into hours =1/2)   16/3=10/3*x   x=8/5 hour   so 96 minutes   ANSWER:96
Answer: D
The profit obtained by selling an article for Rs. 56 is the same as the loss obtained by selling it for Rs. 42. What is the cost price of the article?  Answers:
A) Rs. 40
B) Rs. 49
C) Rs. 50
D) Rs. 70
E) None of these

Solution: S.P 1- C.P = C.P – S.P 2   56 - C.P = C.P - 42   2 C.P = 56 + 42;   C.P = 98/2= 
98/2 = 49
49   ANSWER:Rs. 49
Answer: B
The value of ((x – y)³ + (y - z)³ + (z – x)³)/(12 (x – y) (y – z) (z – x))
is equal to :	Pick
A) 0	B) 1/12	C) 1	D) 1/4	E) 1/3

Solution: Since (x – y) + (y – z) + (z – x) = 0,   so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).   (3 (x – y) (y – z) (z – x))/(12(x – y) (y – z) (z – x)) = 1/4.   ANSWER:1/4
Answer: D
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 16
Pick.
A) 1
B) 3
C) 4
D) 5
E) 2

Solution: case1   N=5,8,11,14,17,20   case 2   M=5,9,13,17,21   Therefore n=17   Remainder of 17/16 will be 1   1
Answer: A
If Sharon's weekly salary increased by 10 percent, she would earn $330 per week. If instead, her weekly salary were to increase by 8 percent, how much would she earn per week?
Choices.
A) Rs.424 B) Rs.524 C) Rs.324 D) Rs.350 E) Rs.354

Solution: Soln:-   (330/110)108 =324   In this case long division does not take much time.   (330/110)108=324   ANSWER:Rs.324
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?	Choose one
A) 180 sec  B) 190 sec  C) 170 sec  D) 175 sec  E) 115 sec

Solution: Answer: Option B   L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (d)= 1900 m   T = d/S   T = 1900/10= 
1900/10 = 190
190 Sec
Answer: B
A certain tests consists 8 sections with 25 questions, numbered from 1 to 25, in each section. If a student answered all of the even-numbered questions correctly and 3/4 of the odd-numbered questions correctly, what was the total number of questions he answered correctly?
a. 150
b. 172
c. 174
d. 175
e. 176 Choices:
A) 174 B) 150 C) 180 D) 175 E) 190

Solution: Each set has 12 even and 13 odd numbered questions leading to total 96 even and 104 odd questions.   96+3/4âˆ—104=96+78=17496+3/4âˆ—104=96+78= 
96+78 = 174
174   174nswer: 174
Answer: A
There are 5 red balls, 10 blue balls, 8 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?	Pick one.
A) 10
B) 29
C) 43
D) 40
E) 16

Solution: The worst case scenario would be if we pick 4 red balls, 9 blue balls, 7 (?) balls and 8 black balls. In this case we'll have  4+9+7+8= 
 4+9+7+8 = 28
28 balls and still won't have all the balls of one color. The next 29rd ball we pick, no matter which color it'll be, will guarantee that we have all the balls of one color.   Answer: 29.
Answer: B
If the simple interest on a sum of money at thirteen percent per annum for two years is Rs.22400, compound interest on the same sum for the same period at the same rate of interest is Select:	A) 28,356.00	B) 25,638.00	C) 23,856.00	D) 23,685.00	E) 25,865.00

Solution: S I for 2 years = 22400 ie for one year =11200   The compound interest for Rs.11200 for the second year = 11200*13/100= 
11200*13/100 = 1_456
1456   The 23,856.00I for two years 22400+1456= 23,856.00   ANSWER:23,856.00
Answer: C
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is: Choose the correct choice from the following options
A) 51:52 B) 52:53 C) 51:53 D) 52:55 E) 55:50

Solution: Explanation:   Let C.P. of the article be Rs. x.   Then, required ratio = 104% of x / 106% of x   = 104/106 = 52/53 = 52:53   ANSWER IS 52:53
Answer: B
How many 3 digit numbers can be made from the numbers 1,2,3,4,5,6,7,8,9,0 Choose one:
A) 1000
B) 720
C) 648
D) 500
E) 100

Solution: A3 digit number is made from (First Digit , Second digit, Third digit) ABC   For the first digit of the 3 digit numbers we have to choose from numbers 1,2,3,4,5,6,7,8,9 we cannot take 0 since it is a 3 digit number that we have to make   So the first digit can have 9 entries.   For the second digit we can have all numbers including 0 except one number which we used for first digit. So we have 9 choices (including 0)   For the third digit we have all numbers minus two digits which we used for A and B   So we have 8 choices.   Total ways by which we can form a 3 digit number are 9 * 9 * 8= 
9 * 9 * 8 = 648
648   Answer: 648
Answer: C
If p^2 – 6p + 8 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0? Select the correct option:
A) 1/5
B) 1/10
C) 2/5
D) 3/5
E) 3/10

Solution: (p-2)(p-4) = q   p = 3 for this to be true, so   1/10   Ans :1/10
Answer: B
Total dinning bill for 10 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Choose the correct choice from the following choices:
A) $30.14
B) 45.14
C) 34.66
D) 32.29
E) 24.26

Solution: 211*15= 
211*15 = 3_165
3165/100= 
3165/100 = 633/20 = around 31.65
31.65   211+31.65= 
211+31.65 = 242.65
242.65   242.65/10=24.26   ANSW24.26R:24.26
Answer: E
If a coin is tossed twice what is the probability that it will land either heads both times or tails both times? Select the correct option:
A) A)1/8
B) B)1/6
C) C)1/4
D) D)1/2
E) E)1

Solution: Prob to get 2 heads = 1/2*1/2 = 1/4   Prob to get 2 tails = 1/2*1/2 = 1/4   So, Prob to get either 2 heads or 2 tails = 1/4+1/4 = 1/2   Answer will be 1/2.
Answer: D
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % profit made by the merchant? Pick
A) 66.67 % B) 50 % C) 200 % D) 100 % E) 33.33 %

Solution: Let Selling Price be x and Cost Price be y of each article;   now, 30x - 30y = the profit earned on selling 30 articles   it is known that the profit earned on 30 articles i.e 30x - 30y = 20y (Cost price of 20 articles)   we get, 30x = 50y   that means x/y = 50/30   Selling Price/Cost price = 5/3   Something that costs $3 is being sold at $5 which is at 66.67% profit.   66.67 %NSWER:66.67 %
Answer: A
You roll two six sided dices together.
Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5? Choose the correct choice from the following answers
A) 2/23 B) 1/33 C) 1/36 D) 3/54 E) 6/35

Solution: C   1/36   The number of possibilities for the first as well as the second dice are 6 and 6 respectively. Therefore the total possibilities or outcome are   6 * 6= 
  6 * 6 = 36
36.   Out of 36 outcomes, we need only one case i.e. the first gives 2 and the second gives 5.   Therefore, the probability will be 1 on 36 or 1/36.
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?	Pick.
A) 5 B) 2 C) 10 D) 12 E) 15

Solution: 4/12+X/15=1   x=10   ANSWER 10
Answer: C
Round off the given number to nearest hundreds
7456	Choose the correct answer.
A) 7400 B) 7500 C) 7000 D) 8000 E) 7450

Solution: the given number is 7456   its tens digit is 5. so replace each of the tens and ones digit by 0 and increase the hundreds digit by 1 to get the rounded off number to the nearest hundred.   correct answer (7500)
Answer: B
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.55 per metre of cloth. How much profit will the trder earn on 40 metres of cloth? Choose the correct choice from the following answers:  A) Rs.950  B) Rs.1500  C) Rs.1000  D) Rs.2200  E) None of these

Solution: Explanation:   SP of 1 metre cloth = 8200/40 = Rs.205.   CP of 1 metre cloth = Rs.205 – 55 = Rs.150   CP on 40 metres = 150 x 40 = Rs.6000   Profit earned on 40 metres cloth = Rs.8200 – Rs.6000 = Rs.2200.   Answer: Option Rs.2200
Answer: D
How many times will the digit 7 be written when listing the integers from 1 to 1000?
Pick one.
A) 110  B) 111  C) 271  D) 300  E) 304

Solution: Another approach:   In the range 0-100:   7 as units digit - 10 times (7, 17, 27, ..., 97);   7 as tens digit - 10 time (71, 72, 73, ..., 79);   So in first one hundred numbers 7 is written 10+10= 
10+10 = 20
20 times.   In 10 hundreds 7 as units or tens digit will be written  10*20= 
 10*20 = 200
200 times. Plus 100 times when 7 is written as hundreds digit (700, 701, 702, ..., 799).   Total 200+100= 
200+100 = 300
300.   Answer: 300.
Answer: D
Arrange the following in a logical order:
1. Birth
2. College
3. Marriage
4. School
5. Employment	Choose the correct option.
A) 1, 4, 2, 5, 3  B) 1, 4, 2, 5, 4  C) 1, 4, 7, 5, 3  D) 1, 9, 2, 5, 3  E) 6, 4, 2, 5, 3

Solution: Explanation:   The given words when arranged in the order of various events as they occur in man's life, the sequence is : Birth, School, College, Employment, Marriage.   Sequence is : 1, 4, 2, 5, 3.   1, 4, 2, 5, 3NSWER: 1, 4, 2, 5, 3
Answer: A
A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $36. By how many more dollars does he need to increase the price to achieve a 100% markup? Choose the correct choice from the following choices:
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: Let x be the wholesale price.   Then 1.8x= 36 and x = 36/1.8= 
36/1.8 = 20
20.   To achieve a 100% markup, the price needs to be $40.   The retailer needs to increase the price by $4 more.   The answer is 4.
Answer: B
Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?  Pick one
A) 20 1/2 hours
B) 20 1/7 hours
C) 20 1/3 hours
D) 20 3/2 hours
E) 20 1/4 hours

Solution: 1/18 + 1/24 = 7/72   72/7 = 10 2/7   7/72 * 10 = 35/36 ----- 20 hours   WR = 1 – 35/36 = 1/36   1 h ----- 1/18   ? ----- 1/36 = 1/2 hours   => 20 1/2 hours   20 1/2 hoursnswer: 20 1/2 hours
Answer: A
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length of this rectangle.  Choose the correct answer
A) L = 60 B) L = 20 C) L = 40 D) L = 30 E) L =50

Solution: L * W = 300 : area , L is the length and W is the width.   2 L + 2 W = 70 : perimeter   L = 35 - w : solve for L   (35 - W) * W = 300 : substitute in the area equation   W = 15 and L = 20 : solve for W and find L using L = 35 - w.   correct answer L = 20
Answer: B
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?	Pick
A) 568
B) 484
C) 456
D) 258
E) 125

Solution: 4/5A=2/5484   A=(2/5*15/4)484   A=3/2484   A/484=3/2   484's share=Rs(1210*2/5)= 
(1210*2/5) = 484
484
Answer: B
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 6 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?	Choose the correct choice from the following answers:
A) 720	B) 90	C) 240	D) 480	E) 960

Solution: Total # of outfits = 12 * 10 * 6= 
12 * 10 * 6 = 720
720   720nswer - 720
Answer: A
Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999? Pick: A) Rs.45,000 B) Rs.50,000 C) Rs.70,000 D) Rs.75,000 E) none

Solution: Solution   Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)   = 1260000 : 840000 : 420000   = 3 : 2 : 1.   Rajeev's share	=Rs.(150000×2/6)   = Rs.50000.   Answer Rs.50,000
Answer: B
The average of ten numbers is 7. If each number is multiplied by 10, then what is the average of the new set of numbers?	Choices:
A) 7 B) 17 C) 70 D) 100 E) 107

Solution: The sum of the ten numbers is 7*10= 
7*10 = 70
70   If each number is multiplied by 10, the new sum is 10*(70).   The average is then   10*7= 
  10*7 = 70
70   The answer is 70.
Answer: C
If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?  Answers.
A) one
B) two
C) three
D) four
E) five

Solution: (6-2) < k < (6+2)   4 < k < 8   Thus k = 5, 6, 7   Since 2 < k < 7, then k can be 5 or 6.   The answer is two.
Answer: B
At their respective rates, pump A, B, and C can fulfill an empty tank, or pump-out the full tank in 2, 3, and 6 hours. If A and B are used to pump-out water from the half-full tank, while C is used to fill water into the tank, in how many hours, the tank will be empty? Choose the correct option.
A) 2/3  B) 1  C) 3/4  D) 3/2  E) 2

Solution: Rate of A = 1/2 tank/hour;   Rate of B = 1/3 tank/hour;   Rate of C = 1/6 tank/hour.   Combined rate when A and B are used to pump-out water, while C is used to fill water into the tank is 1/2+1/3-1/6=2/3 tank hour.   So, to empty the full tank 3/2 hours (reciprocal of rate) are needed. To empty the half-full tank half of that time would be needed: 1/2*3/2=3/4 hours.   Answer: 3/4.
Answer: C
At what price must an Book costing $47.50 be marked in order that after deducting 12% from the list price. It may be sold at a profit of 25% on the cost price?
Choose one:
A) 72.5
B) 55.5
C) 67.5
D) 82.5
E) 60.5

Solution: 67.5   $62.50   67.5P = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(88/100)= 59.375   MP = 67.5   67.5
Answer: C
A die is drawed, find the probability that an odd number is draw?	Choices
A) 1/2  B) 2/4  C) 3/2  D) 1/5  E) 2/5

Solution: Let us first write the sample space S of the experiment.   S = {1,2,3,4,5,6}   Let E be the event "an odd number is obtained" and write it down.   E = {1,3,5}   P(E) = n(E) / n(S) = 3 / 6 = 1/2   1/2
Answer: A
A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 4 hours. How many hours in total will it take the crow to finish a quarter of the nuts? Choose the correct choice from the following
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: In one hour, the crow eats 1/20 of the nuts.   (1/4) / (1/20)= 
(1/4) / (1/20) = 5
5 hours   The answer is 5.
Answer: B
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 56, what is the compound interest on the same sum at the rate and for the same time?
Choose the correct choice:
A) s. 57.40
B) s. 57.22
C) s. 51.219
D) s. 56.18
E) s. 53.11

Solution: Explanation:   Sum = (56 * 100) / (2 * 5) = Rs. 560   Amount = [560 * (1 + 5/100)2] = Rs. 617.4   C.I. = (617.4- 560) = Rs. 57.4.   s. 57.40nswer:s. 57.40
Answer: A
A rectangular pig farm has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 1250 square feet, what is the total length of the fence, in feet?	Select:
A) 25 B) 50 C) 100 D) 150 E) 200

Solution: two sides EACH = x the third = 2x and the wall length is thus 2x too   x*2x = 2x^2 = 1250 ie x^2 = 625 ie x = 25   L = 50 W= 25   TOTAL LENGTH OF FENCE = 2*25 + 50= 
2*25 + 50 = 100
100   MY ANSWER IS C
Answer: D
If a:b=1:3 and b:c=2:4 find a:b:c?  Options:
A) 1:6:3
B) 1:3:6
C) 6:1:3
D) 6:3:1
E) 3:6:1

Solution: a:b = 1:3, b:c = 2:4   1:3   2:4   (a = a × b, b = b × b and c = b × c)   a:b:c = 1:3:6   1:3:6
Answer: B
In a bag containing 3balls, a white ball was placed & then 1ball was taken out atrandom. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ? Choose the correct choice from the following answers
A) 3
B) 5/8
C) 27
D) 54
E) 81

Solution: Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.   ∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]   = 1/4 [(4 + 3 + 2 + 1)/4] = 5/8   5/8
Answer: B
What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.20 ?
Choose the correct choice from the following choices
A) 10 : 7	B) 9 : 8	C) 5 : 4	D) 13 : 11	E) 14 : 8

Solution: 5 : 4orrect option: (5 : 4)   Use rule of alligation, to determine the ratio   The required ratio of Soybean and Peas = 5 : 4
Answer: C
Which is better investment?
(I) 7(1/2) % stock at 105 or
(II) 6(1/2) % at 94.  Choose the correct option.
A) I B) II C) Both D) Cannot Determine E) Data Insufficient

Solution: Let the investment in each case be $ (105*94).   Case I : 7(1/2) 5 stock at 105:   On investing $ 105, income = $ (15/2).   On investing $ (105*94), income = $ [(15/2)*(1/105)*105*94= 
(15/2)*(1/105)*105*94 = 705
$705.   Case II : 6(1/2) % stock at 94:   On investing $ 94, income= $ (13/2).   On investing $ (105*94), income = $ [(13/2)*(1/94)*105*94]   = $ 682.5.   Clearly, the income from 7(1/2) % stock at 105 is more.   Hence, the investment in 7(1/2) % stock at 105 is better.   Inswer I.
Answer: A
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 9 percent of revenues. The profits in 2009 were what percent of the profits in 2008? Choose the correct choice:
A) 80%	B) 72%	C) 120%	D) 124.2%	E) 138%

Solution: x = profits   r= revenue   x/r = 0,1   x= 10   r=100   2009:   r=80   x/80 = 0,09 = 9/100   x= 80*9/100= 
80*9/100 = 36/5 = around 7.2
7.2   7.2/10= 
7.2/10 = 0.72
0.72= 72%, Answer 72%
Answer: B