MU-NLPC/Calc-aqua_rat huggingface dataset:
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:	Choose the correct choice from the following answers:
A) Rs. 650 B) Rs. 690 C) Rs. 698 D) Rs. 700 E) Rs. 710

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (815 - 117) = Rs. 698.   Answer: Option Rs. 698
Answer: C
The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? Choose the correct option:
A) 11 months	B) 9 months	C) 7 months	D) 10 months	E) NONE OF THESE

Solution: Explanation:   7x5: 5xk = 7:10   k = 10 months   ANSWER IS 10 months
Answer: D
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 60% of the total school population of x students, what is x? Choose one:
A) 122  B) 150  C) 225  D) 250  E) 500

Solution: 90=x/100*60/100*x=>x^2 = 9*10000/6 = > x = 122   122
Answer: A
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit? Answers
A) Rs. 18.20
B) Rs. 70
C) Rs. 72
D) Rs. 88.25
E) Rs. 80

Solution: Explanation:   C.P. = Rs.(100/122.5 x 392)= Rs.(1000*1225 x 392)= Rs. 320   Profit = Rs. (392 - 320) = Rs. 72.   ANSWER IS Rs. 72
Answer: C
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?
Pick: A) 13 m B) 14 m C) 15 m D) 16 m E) 17 m

Solution: Explanation:   the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is=13mts.   13 mNSWER IS 13 m
Answer: A
Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 60 km per hour. Mr. Dinkle will	Select the correct option.
A) overtake Mr. Smitherly at 10:30 a.m. B) overtake Mr. Smitherly at 11:30 a.m. C) overtake Mr. Smitherly at 2:00 p.m. D) be 30 miles behind at 9:35 a.m. E) never overtake Mr. Smitherly

Solution: After one hour, Mr. Smitherly is ahead by 50 km.   Mr. Dinkle gains on Mr. Smitherly 10 km each hour.   Five hours after 9:00 a.m., Mr. Dinkle will catch Mr. Smitherly.   The answer is overtake Mr. Smitherly at 2:00 p.m..
Answer: C
A 6-liter solution is 40% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?  Select the correct option
A) 1.2  B) 1.5  C) 1.8  D) 2.1  E) 2.4

Solution: Let x be the amount of pure alcohol required.   0.4(6) + x = 0.5(x+6)   0.5x = 3 - 2.4   x = 1.2 liters   The answer is 1.2.
Answer: A
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?  Choose the correct choice from the following options.
A) 9%  B) 4%  C) 3%  D) 6%  E) 7%

Solution: 65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer: 4%
Answer: B
Which of the following is equal to x!/(x-1)!?  Choose the correct choice from the following options.
A) x-1  B) 1+(1/x)  C) 1  D) x+1  E) x

Solution: x! = (x -1)! * x   x!/(x-1)! = x   Answer: x
Answer: E
For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?	Select the correct option
A) 1 B) (-3.5)^2 C) 3 D) 4 E) 5

Solution: Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4.5   Step 2, For each number: subtract the Mean and square the result =   (1-4.5)^2=(-3.5)^2   (2-4.5)^2=(-2.5)^2   (3-4.5)^2 =(-1.5)^2   (4-4.5)^2=(.5)^2   (5-4.5)^2=(.5)^2   Clearly (1-4.5)^2=(-3.5)^2 will give you the greatest value among all the other options.   Hence (-3.5)^2
Answer: B
N and M are each 3-digit integers. Each of the numbers 1, 2, 3,4,5 and 6 is a digit of either N or M. What is the smallest possible positive difference between N and M?	Choose the correct choice from the following choices
A) 59  B) 49  C) 58  D) 113  E) 131

Solution: You have 6 digits: 1,2, 3, 4, 5, 6   Each digit needs to be used to make two 3 digit numbers. This means that we will use each of the digits only once and in only one of the numbers. The numbers need to be as close to each other as possible. The numbers cannot be equal so the greater number needs to be as small as possible and the smaller number needs to be as large as possible to be close to each other.   The first digit (hundreds digit) of both numbers should be consecutive integers   Now let's think about the next digit (the tens digit). To minimize the difference between the numbers, the tens digit of the greater number should be as small as possible and the tens digit of the smaller number should be as large as possible . So let's not use 1 and 6 in the hundreds places and reserve them for the tens places Now what are the options?   Try and make a pair with (2** and 3**). Make the 2** number as large as possible and make the 3** number as small as possible.   265 and 314 (difference is 49) or   Try and make a pair with (4** and 5**). Make the 4** number as large as possible and make the 5** number as small as possible. We get 463 and 512 (difference is 49)   49
Answer: B
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Choose the correct choice from the following.
A) 648 B) 888 C) 928 D) 1184 E) None of these

Solution: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148= 3k + 148 => 2k = 296 => k = 148   The initial quantity of water in A = 8k = 8 * 148= 
8 * 148 = 1_184
1184 liters.   ANSWER:1184
Answer: D
What is the average of four tenths and five thousandths	Choices:
A) 0.2022  B) 0.3325  C) 0.2025  D) 0.2012  E) 0.2114

Solution: Explanation:   Four tenths = 0.4   Five thousandths = 0.005   The average is (0.4 + 0.005)/2= 
(0.4 + 0.005)/2 = 0.2025
0.2025   Answer: 0.2025
Answer: C
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Choose the correct choice from the following answers.
A) 16 min
B) 26 min
C) 34 min
D) 20 min
E) 12 min

Solution: Speed Ratio = 1:4/5 = 5:4Time Ratio   = 4:51 -------- 5 4 --------- ? è 20   Answer: 20 min
Answer: D
If u and v are two different prime numbers, which of the following cannot be true?
Choose one:	A) uv is odd.	B) u + v is even.	C) u + v is odd.	D) uv is even.	E) u/v is an integer

Solution: A prime number is a positive integer with exactly two distinct positive divisors: 1 and itself. So, a prime number cannot be a multiple of another prime number. Which makes option E not possible (u/v=integer means that u is a multiple of v).   Answer: E.   All other options are possible:   A. uv is odd -->u=3 and v=5;   B. u + v is even -->u=3 and v=5;   C. u + v is odd -->u=2 and v=3;   D. uv is even --> u=2 and v=3;   u/v is an integer
Answer: E
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet? Choose the correct option
A) 10.37 p.m	B) 10.20 p.m	C) 10.30 p.m	D) 10.38 p.m	E) 10.10 p.m

Solution: D = 70 * 1 ½ = 105 km   RS = 85 – 70 = 15   T = 105/15= 
105/15 = 7
7 h     3.30 + 7= 
  3.30 + 7 = 10.3
10.30 p.m.   Answer: 10.30 p.m
Answer: C
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Pick
A) Sunday	B) Friday	C) Saturday	D) Monday	E) None of these

Solution: Explanation :   Given that 8th Feb, 2005 was Tuesday   Number of days from 8th Feb, 2004 to 7th Feb, 2005 = 366   (Since Feb 2004 has 29 days as it is a leap year)   366 days = 2 odd days   Hence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday   Sundaynswer : Option Sunday
Answer: A
The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is $48. Then the sum is  Answers
A) $600	B) $1000	C) $1200	D) $1500	E) $2000

Solution: 20% of (Year 1 Interest) = 20% of (20% of Principal) = 48   Principal = $1200   Answer ($1200)
Answer: C
What is the height of the triangle?
I.	The area of the triangle is 20 times its base.
II.	The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
Select the correct option:
A) I alone sufficient while II alone not sufficient to answer  B) II alone sufficient while I alone not sufficient to answer  C) Either I or II alone sufficient to answer  D) Both I and II are not sufficient to answer  E) Both I and II are necessary to answer

Solution: EXPLANATION   I. A = 20 x B ⇒1-div-1by2 x B x H = 20 x B⇒H = 40.   I alone gives the answer.   II gives, perimeter of the triangle = 40 cm.   This does not give the height of the triangle.   answer is (I alone sufficient while II alone not sufficient to answer).
Answer: A
If jeya rows 21 km upstream and 56 km down steam taking 3 hours each, then the speed of the stream  Choose the correct choice from the following answers.
A) 1.5 kmph  B) 0.2 kmph  C) 0.3 kmph  D) 0.4 kmph  E) 0.5 kmph

Solution: Speed upstream = 21/3= 
21/3 = 7
7 kmph   Speed down stream= 56/7= 
56/7 = 8
8 kmph   Speed of stream= ½ (8-7) = 0.5 kmph   ANSW0.5 kmphR:0.5 kmph
Answer: E
Dacid obtained 51, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Choices.
A) 29  B) 38  C) 39  D) 70  E) 75

Solution: Average = (51 + 65 + 82 + 67 + 85)/5= 
(51 + 65 + 82 + 67 + 85)/5 = 70
70   Answer: 70
Answer: D
The population of a town is 7800. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?	Choose one:
A) 9600
B) 8000
C) 8500
D) 9500
E) 10000

Solution: Formula :   ( 9600fter =100 denominator   9600go = 100 numerator)   7800 Ã— 100/90 Ã— 100/90 = 9629   9600)
Answer: A
In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/4 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn? Answers
A) 1/18
B) 1/6
C) 1/3
D) 1/2
E) 7/12

Solution: You can simply use sets concept in this question. The formula   Total = n(A) + n(B) - n(A and B) is applicable here too.   Set 1: Number 12 or larger   Set 2: Number 20 or smaller   1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)   2/3 + P(Set 2) - 1/4 = 1   P(Set 2) = 7/12   Answer (7/12)
Answer: E
The largest 4 digit number exactly divisible by 90 is?
Pick.
A) 9935
B) 9939
C) 9944
D) 9954
E) 9990

Solution: Largest 4-digit number = 9999   90) 9999 (111   9990   ------------ Largest number divisible by 90 is 9990   Answer : 9990
Answer: E
A man swims downstream 120 km and upstream 50 km taking 5 hours each time; what is the speed of the current?
Choose the correct choice from the following answers:  A) 3 kmph  B) 7 kmph  C) 13 kmph  D) 6.5 kmph  E) 7:3kmph

Solution: Explanation:   120 --- 5 DS = 24   ? ---- 1   50 ---- 5 US = 10   ? ---- 1 S = ?   S = (24 - 10)/2= 
(24 - 10)/2 = 7
7   Answer: Option 7 kmph
Answer: B
A, B and C rents a pasture for Rs.841. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay?	Choose the correct answer.
A) 270
B) 279
C) 226
D) 231
E) 232

Solution: 12*8 :16*9 = 18*6   8: 12: 9   8/29 * 841= 
8/29 * 841 = 232
232   Answer: 232
Answer: E
Find the number of different prime factors of 1250 Select
A) 4	B) 2	C) 3	D) 5	E) 6

Solution: Explanation:   L.C.M of 1250 = 2 x 5 x 5 x 5 x 5   2, 5   Number of different prime factors is 2.   Answer: Option 2
Answer: B
A speed of 24 metres per second is the same as :
Choose the correct option
A) 60.4 km/hr	B) 86.4 km/hr	C) 65 km/hr	D) 68.5 km/hr	E) None

Solution: Sol.   24 m/sec = [24 * 18/5] km/hr = 86.4 km/hr.   Answer 86.4 km/hr
Answer: B
The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle? Choose the correct choice from the following options:
A) 3 and 5	B) 3 and 6	C) 3 and 7	D) 3 and 8	E) 3 and 9

Solution: Let x and y be the length and width of the rectangle. Using the formulas for the area and the perimeter, we can write two equations.   15 = x y and 16 = 2 x + 2 y   Solve the second equation for x   x = 8 - y   Substitute x in the equation 15 = x y by 8 - y to rewrite the equation as   15 = (8 - y) y   Solve for y to find   y = 3 and y = 5   Use x = 8 - y to find x   when y = 3 , x = 5 and when y = 5 , x = 3.   The dimensions of the rectangle are 3 and 5.   As an exercise, check that the perimeter of this rectangle is 16 and its area is 15.   3 and 5nswer 3 and 5
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?  Choices:
A) 230	B) 240	C) 250	D) 270	E) 280

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: Option 270
Answer: D
A number increased by 20% gives 1080. The number is?	Pick
A) 800
B) 700
C) 500
D) 900
E) 600

Solution: Formula = TOTAL=100% ,INCREASE = "+" 900ECREASE= "-"   A number means = 100 %   That same number increased by 20 % = 120 %   120 % -------> 1080 (120 Ã— 9 = 1080)   100 % -------> 900 (100 Ã— 9 = 900)   Option '900'
Answer: D
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?	Select:
A) 2 Hrs	B) 3 Hrs	C) 1 Hr	D) 4 Hrs	E) 5 Hrs

Solution: |-----------20--------------------|   50 40   D = 20   RS = 50 â€“ 40 = 10   T = 20/10= 
20/10 = 2
2 hours   2 HrsNSWER 2 Hrs
Answer: A
John has taken four (4) tests that have an average of 82. In order to bring his course grade up to a ‘B’, he will need to have a final average of 86. What will he need to average on his final two tests to achieve this grade?
Choose the correct option:
A) 87 B) 90 C) 92 D) 94 E) 97

Solution: Traditional Method:   Total scored till now 82*4= 
82*4 = 328
328   Total score to avg 86 in 6 tests= 86*6= 
86*6 = 516
516   Total to be scored on 2 tests= 516-328= 
516-328 = 188
188   Avg on 2 tests= 188/2= 
188/2 = 94
94   Answer: 94
Answer: D
If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y?  Choose the correct choice.
A) 3
B) 4
C) 10
D) 6
E) 7

Solution: Let x=6.1 and y=16.1   Greatest possible difference=16.1-6.1= 
16.1-6.1 = 10
10   Answer 10
Answer: C
Joshua is fifth from the bottom in a queue of 100 boys.
What is the position of Joshua from the top of the queue? Choose the correct choice from the following choices:
A) 51 B) 52 C) 53 D) 54 E) 55

Solution: Solution:   51   Explanation:   The position of boys higher than Joshua in the queue is   100 - 50= 
  100 - 50 = 50
50.   Therefore, the position of Joshua from the top is  50 + 1= 
 50 + 1 = 51
51.   51nswer 51
Answer: A
Robert's salary was decreased by 30% and subsequently increased by 30%. how much percentage does he lose?	Choose the most appropriate option.
A) 10% B) 9% C) 25% D) 30% E) 50%

Solution: let original salary be $100   Salary after decreasing 30% = 100 - 100 x 30/100 = $70   Salary after increasing 30% on $70 = 70 + 70 x 30/100 = $91   Percentage of loss = 100 - 91= 
100 - 91 = 9
9%   Answer : 9%
Answer: B
The average of temperatures at noontime from Monday to Friday is 45; the lowest one is 42, what is the possible maximum range of the temperatures?
Choose the correct choice from the following: A) 15 B) 25 C) 40 D) 45 E) 75

Solution: there are 5 days so the sum of temperature can be 45*5= 
45*5 = 225
225   lowest is 42. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days   so   4*42= 
  4*42 = 168
168.   on the fifth day it is   225-168= 
  225-168 = 57
57   range is therefore  57-42= 
 57-42 = 15
15   answer 15
Answer: A
A certain taxi company charges $2.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?  Choose the correct choice from the following options:
A) 15.6  B) 18.1  C) 17.5  D) 18.7  E) 19.1

Solution: A certain taxi company charges $2.50 for the first 1/5= 
1/5 = 1/5 = around 0.2
0.2 miles.   The cost of 8 miles long ride would be $2.50 for the first 0.2 miles plus (8-0.2)/0.2*0.4= $2.50 + $15.6 = $18.1.   Answer: 18.1.
Answer: B
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?	Choose the correct choice from the following choices
A) 43 kmph	B) 45 kmph	C) 47 kmph	D) 49 kmph	E) 42 kmph

Solution: B   Let the distance to be travelled to catch the bus be x km   x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km   By traavelling 30 kmph time taken = 60/30= 
60/30 = 2
2 hours   By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed= 60/(4/3)= 
60/(4/3) = 45
45 kmph.
Answer: B
What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-49)*(25-50)? Choose the correct choice from the following answers
A) 0	B) 1	C) 625	D) less than -100,000	E) more than 100,000

Solution: One of the terms is (25-25) so the product is 0.   The answer is 0.
Answer: A
A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 3. What could be the ratio of Cats to dogs in the pet store?  Choose the correct choice from the following options:
A) 12:15 B) 1:4 C) 1:5 D) 2:5 E) 1:3

Solution: Say theratio of cats to dogs is a/b. Then the numberof cats would be ax and the number of dogs bx, for some positive integer x.   We are told that ax - bx = 3 --> x(a - b) = 3. Since 3 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*13.   The above implies that either x = 1 and (a - b) = 3 or x = 3 and (a - b )= 1.   Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 13.   For the original question only option which fits is E, 4:5. Cats = 3*4= 
3*4 = 12
12 and dogs= 3*5= 
3*5 = 15
15.   12:15nswer: 12:15.
Answer: A
How many ways could five people sit at a table with eight seats in which three of the eight seats will remain empty?
Choose the correct answer.
A) 6720  B) 6520  C) 56  D) 120  E) 40

Solution: ways in which 5 seats out 8 can be selected = 8C5   ways in which 5 people can be arranged in 5 seats = 5!   Total ways of arrangement = 8C5*5!   =(8!/(5!*3!))*5!   =56*120= 
56*120 = 6_720
6720   6720ns= 6720
Answer: A
What is the difference between local value & face value of 7 in the numeral 65793?  Select the correct option
A) 693  B) 656  C) 691  D) 9890  E) 10000

Solution: (Local value of 7) - (Face value of 7)   = (700 - 7)= 
(700 - 7) = 693
693   693
Answer: A
A cube of volume 1000 cm 3 is divided into small cubes of 1 cm 3 ..& all the outer surfaces are painted how many cubes will be there with (at least one side painted or no side painted)
Select:
A) 477	B) 488	C) 456	D) 425	E) 495

Solution: Number of cubes with No side painted = 8*8*8= 
8*8*8 = 512
512   Number of cubes with atleast one side painted= 1000-512= 
1000-512 = 488
488   ANSWER:488
Answer: B
From a theatre troupe of eight members, including Lou, one person will be randomly chosen to play Abel, another person will be randomly chosen to play Barry, and a third person will be randomly chosen to play Caine. What is the probability that Lou will NOT be chosen to play either Abel or Caine? Select the correct option
A) 1/168	B) 1/8	C) 1/4	D) 1/3	E) 3/4

Solution: "one person will be randomly chosen to play Abel, another person will be randomly chosen to play Barry, and a third person will be randomly chosen to play Caine"   The above statement is NOT clear   Still a solution:   For 8 students we have 3 posts   one post can be occupied by only one member   no two posts can be occupied by the same member   probability(P) for a member getting selected for particular 2 of the 3 posts=   probable outcomes=1(Caine)+1(Abel)=2   total outcomes=1(Caine)+1(Abel)+1(Barry)+5(non post positions)=8   =2/8=1/4   Probability required for the given case= 1-P=1-1/4=3/4   Answer: 3/4
Answer: E
If A speaks the truth 60% of the times, B speaks the truth 50% of the times. What is the probability that at least one will tell the truth
Pick one.
A) 0.8  B) 0.9  C) 1.0  D) 1.2  E) 1.3

Solution: probability of 0.8 speaks truth p(0.8)=6/10;false=4/10   probability of B speaks truth p(B)=5/10;false=5/10.For given qtn   0.8ns=1-(neither of them tell truth).Because 0.8 & B are independent events   =1-[(4/10)*(5/10)]=4/5= 
4/5 = 4/5 = around 0.8
0.8   0.8NSWER:0.8
Answer: A
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100000 years is:	Choose the most appropriate option:
A) 111 × 1827 miles
B) 999× 1238 miles
C) 346 × 1012 miles
D) 587 x 10^15 miles
E) 587 × 1012 miles

Solution: The distance of the light travels in one years is:   5,870,000,000,000 = 587 * 10 ^10   The distance of the light travels in 100000 years is:   = 587 * 10^10 x 10 ^5 = 587 x 10^15 miles   Answer :587 x 10^15 miles
Answer: D
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 151 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Choose the correct choice from the following choices.
A) 1289
B) 1198
C) 281
D) 1208
E) 282

Solution: Explanation:   B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 151 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 151 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 151 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 151= 3k + 151 => 2k = 302 => k = 151   The initial quantity of water in A = 8k = 8 * 151= 
8 * 151 = 1_208
1208 liters.   Answer: Option 1208
Answer: D
John bought 2 shares and sold them for $24 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had Select the correct option:	A) a profit of $10	B) a profit of $2	C) a loss of $2	D) a loss of $10	E) neither a profit nor a loss

Solution: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss   Total Selling Price = 24*2= 
24*2 = 48
$48   Total a loss of $2ost Price= 48/(0.96)= 
48/(0.96) = 50
$50   Loss= 50-48= 
50-48 = 2
$2   Answer: Option a loss of $2
Answer: C