MU-NLPC/Calc-aqua_rat huggingface dataset:
An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible? Choices.
A) 12	B) 460	C) 60	D) 450	E) 720

Solution: 6C2 * 5C2 * 3C1 = 15*10*3= 
15*10*3 = 450
450.   Answer: 450
Answer: D
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is: Select:
A) 30	B) 40	C) 20	D) 10	E) 60

Solution: 30: B = 2:3 and B:C = 5:8   =>(5*3/5):(8*3/5)   =>3:24/5   30:B:C = 2:3:24/5 = 10:15:24   B= 30   30NSWER 30
Answer: A
A certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?	Choose the correct choice:
A) 6.33 B) 7.5 C) 21 D) 15 E) 19

Solution: If there is one bacteria colony, then it will reach the limit of its habitat in 20 days.   If there are two bacteria colonies, then in order to reach the limit of habitat they would need to double one time less than in case with one colony. Thus colonies need to double 21 times.   Answer: C.   Similar questions to practice:   Hope it helps.
Answer: C
A and B go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?	Choices:
A) 240 sec B) 165 sec C) 186 sec D) 167 sec E) 168 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 1200/ (36 * 5/18) , 1200/ (54 * 5 /18) }   = LCM (120, 80)   =240 sec.   240 secnswer:240 sec
Answer: A
David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction? Options:
A) Rs. 110
B) Rs. 120
C) Rs. 130
D) Rs. 150
E) Rs. 160

Solution: Cost of Ghee = 10*200+ 30*100 /40 =5000/40= 
5000/40 = 125
125   20% of 125= 25   S.P. should be = 125+25= Rs. 150/ kg   Answer : Rs. 150
Answer: D
How many three digits number greater than 600 can be formed using the digits 4,5,6,7,8?
Answers:
A) 85
B) 65
C) 75
D) 25
E) 15

Solution: Clearly repetition of digits allowed. Also the hundredths place of the 3-digit number can be filled in by6,7,8 in 3 ways. Each of the ten's, one's place can be filled in 5 ways. Hence the total number of required numbers = 3*5*5= 
3*5*5 = 75
75 Answer : 75
Answer: C
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally y% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?	Choose the correct choice from the following answers:
A) 100y/(1-y)	B) 80y/(1-y)	C) 75y/(1-y)	D) 100y/(80-0.2y)	E) 100y/(80+0.2y)

Solution: Assume values when the options have a variable.   Say, x is 100 pounds. Say y% is 50% i.e. the solution had 50 pounds of sugar and 50 pounds of water.   20% water evaporates so  20/100 * 50= 
 20/100 * 50 = 10
10 pounds of water evaporates leaving 40 pounds of water.   %age of sugar solution= 50/(50+40) * 100 = 55%   Put y = 50 in the options. Options (A), (B) and (C) make no sense since they will have a negative denominator. Option (E) gives 55% when you put y = 50.   Answer (100y/(80+0.2y))
Answer: E
Average weight of 10 people increased by 2 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is  Answers
A) 50  B) 55  C) 60  D) 65  E) 70

Solution: Explanation:   Total weight increased is 2 * 10= 
2 * 10 = 20
20.   So weight of new person is 45+20= 
45+20 = 65
65   Answer: Option 65
Answer: D
If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
Choose the correct choice from the following
A) Tuesday
B) Monday
C) Wednesday
D) Thursday
E) None of these

Solution: 3rd dy is monday----so----1st day must be saturdy   1-8-15-22 are all saturdy..ok   so 21 will be friday so,   from firdy 5th day will be wednesday   ANSWER:Wednesday
Answer: C
The compound ratio of 5:6, 3:2 and 4:5?
Choose one.
A) 1:8	B) 1:0	C) 1:7	D) 1:1	E) 1:6

Solution: 5/6 * 3/2 * 4/5= 
5/6 * 3/2 * 4/5 = 1
1/1   1:1   Answer: 1:1
Answer: D
$700 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is	Choose the correct choice from the following answers.
A) $100
B) $150
C) $125
D) $280
E) $250

Solution: A:(B+C) = 2:3   A's share = 700*2/5= 
700*2/5 = 280
$280   Answer is $280
Answer: D
If x = 7p and y = 5p + 1, then for what value of p, x is equal to y ?	Choose the correct choice: A) 1 B) 0.5 C) 2 D) -1 E) 0

Solution: Explanation:   x = y <=> 7p = 5p + 1 <=> 2q = 1 <=> p = 0.5   Answer: 0.5
Answer: B
A part of certain sum of money is invested at 9% per annum and the rest at 21% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?  Choose the correct option.
A) 4:2	B) 4:8	C) 7:3	D) 4:0	E) 4:9

Solution: 21:9   = 7:3   Answer: 7:3
Answer: C
There are 27 different three-digit integers that can be formed using only the digits 3, 4 and 5. If all 27 of the integers were listed, what would their sum be?
Choose the correct choice
A) 11,888  B) 11,988  C) 12,088  D) 12,188  E) 12,288

Solution: There must be nine 3's in the hundreds place, nine 3's in the tens place, and nine 3's in the units place. This is also true for the 4's and 5's. Then the sum is:   9(333+444+555)=9*(1332)=11,988.   The answer is 11,988.
Answer: B
Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
Choose the correct option.
A) 2288	B) 2677	C) 1052	D) 2872	E) 18711

Solution: S.I. = (956 - 800) = Rs. 156.   Rate = (100 * 156) / (800 * 3) = 6 1/2 %   Now rate = (6 1/2 + 4) = 10 1/2 %   New S.I. = (800 * 21/2 * 3/100) = Rs. 252   New amount = (800 + 252) = Rs. 1052.   Answer:1052
Answer: C
If the cost price of 60 boxes is equal to the selling price of 50 boxes, the gain percent is  Choose the correct choice.
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Let C.P. of each box be Re. 1.   Then, C.P. of 50 boxes = Rs. 50; S.P. of 50 boxes = Rs. 60.   Gain % = 10/50 * 100= 
10/50 * 100 = 20
20%   Answer:20
Answer: D
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 75th number in this set?
Choose the correct choice from the following options: A) 597 B) 608 C) 613 D) 616 E) 621

Solution: The set S = {5, 13, 21, 29, ..................... }   1st Number = 8 * 0 + 5= 
8 * 0 + 5 = 5
5   2nd Number= 8 * 1 + 5= 
8 * 1 + 5 = 13
13   3rd Number= 8 * 2 + 5= 
8 * 2 + 5 = 21
21   75th Number= 8 * (75-1) + 5= 
8 * (75-1) + 5 = 597
597   597nswer= 597
Answer: A
A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?	Choose the most appropriate option
A) 3000 B) 4056 C) 5000 D) 5400 E) 5600

Solution: Sol. Share of B + C = -3 x (5 + 8) = Rs. 4056   4056
Answer: B
A, B, C, D and E are ve
consecutive odd numbers The sum of A and C is 146. What is
the value of E?	Choose the correct option
A) 75 B) 81 C) 71 D) 79 E) None of these

Solution: A + C = 146   ⇒ A + A + 4 = 146   ⇒ A =146-4/2=71   ∴ E = A + 8 = 71 + 8= 
71 + 8 = 79
79   Answer 79
Answer: D
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
Choose the correct choice from the following answers:
A) 338
B) 500
C) 279
D) 1277
E) 198

Solution: Let the amounts to be received by P, Q and R be p, q and r.   p + q + r = 1200   p = 1/2 (q + r) => 2p = q + r   Adding 'p' both sides, 3p = p + q + r = 1200   => p = Rs.400   q = 1/3 (p + r) => 3q = p + r   Adding 'q' both sides, 4q = p + q + r = 1200   => q = Rs.300   r = 1200 - (p + q) => r = Rs.500.   Answer: 500
Answer: B
In a question on division with zero remainder, a candidate took 12 as divisor instead of 36. The quotient obtained by him was 30. The correct quotient is?	Choose the correct choice from the following answers:
A) A)10
B) B)24
C) C)28
D) D)29
E) E)30

Solution: Number = (30 * 12)= 
(30 * 12) = 360
360   Correct quotient= 360/36= 
360/36 = 10
10   10)
Answer: A
A seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?  Choose the correct choice from the following answers
A) 9 B) 10 C) 12 D) 14 E) 16

Solution: IfNo caris selected more than once then the number of clients = 12/4= 
12/4 = 3
3   But since every car is being selected three times so No. of Clients must be thrice as well=3*3= 
3*3 = 9
9   9nswer: option 9
Answer: A
Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?	Options.
A) 0 B) 2 C) 4 D) 6 E) 8

Solution: On dividing 724946 by 10 we get the remainder 6, so 6 should be subtracted   6
Answer: D
How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Select:  A) 4  B) 6  C) 3  D) 5  E) None

Solution: 4nswer: 4) 4
Answer: A
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?	Answers
A) 66 sec B) 88 sec C) 12 sec D) 87 sec E) 55 sec

Solution: D = 250 m + 250 m = 500 m   RS = 80 + 70= 
80 + 70 = 150
150 * 5/18= 125/3   T = 500 * 3/125= 
500 * 3/125 = 12
12 sec   Answer: 12 sec
Answer: C
A drawer contains socks. When two socks are drawn at random, the
probability that both are red is 5/14. Which of the following can be
the number of socks in the drawer?  Choose the correct option.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: If there are n socks, r of which are red, in the drawer, then the probability that   two chosen together at random are red is   r/n *   r - 1/n - 1   =   5/14   Therefore, r(r - 1) = 5k and n(n- 1) = 14k for some positive integer k. Since 14 must   divide n(n - 1), the only choices given which need be considered are n = 7 and n = 8. If   n = 7, then n(n -1) = 14k implies k = 3 but then r(r - 1) = 5k = 15 is an impossibility.   If n = 8, we get k = 4 and r = 5, a valid possiblity. Therefore, the answer is n = 8.   correct answer 8
Answer: D
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?	Choose the correct choice from the following options.
A) 12 B) 15 C) 18 D) 7 E) 32

Solution: Explanation:   speed= Distance/ Time   S = (100 + 300)/45 = 400/45 * 18/5= 
400/45 * 18/5 = 32
32.   Answer: 32
Answer: E
How many four-digit integers exist such that all their digits are even?  Select:  A) 80  B) 100  C) 120  D) 125  E) 500

Solution: 0 is also an even integer   so last digit can be filled in 5 ways- 0,2,4,6,8   for both second and third digit there are 5 possibilities-   5 X 5 X 5 X 5 = 625   _______________   The first digit can be any of the four: 2, 4, 6, or 8. For both second, third and four digits, there are 5 possibilities. The answer is 4∗5∗5*5=500.   The correct answer is 500
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?  Choose the correct choice from the following:  A) 10 years  B) 12 years  C) 14 years  D) 18 years  E) 16 years

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 47   5x = 45   x = 9.   Hence, B's age = 2x = 19 years.   18 years)
Answer: D
If Re.5 amounts to Rs.20 over a period of 3 years. What is the rate of simple interest?  Pick one.
A) 80%  B) 90%  C) 100%  D) 110%  E) 115%

Solution: 15 = (5*3*R)/100   R = 100%   Answer:100%
Answer: C
A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
Choose the correct option
A) 12 liters
B) 10 liters
C) 4 liters
D) 2 liters
E) 3 liters

Solution: 70 * (10/100)= 
70 * (10/100) = 7
7   Wine Water   87 1/2% 12 1/2%   87 1/2% ------- 63   12 1/2% -------?=> 9-7= 
9-7 = 2
2   ANSWER:2 liters
Answer: D
A machine puts c caps on bottles in n minutes. How many hours will it take to put caps on b bottles?
Choose the correct choice
A) 60bn/c B) bc/60n C) bn/60c D) 60b/cn E) b/60cn

Solution: A machine puts c caps on bottles in m minutes.   So, the machine puts 1 cap in n/c minutes   To put caps on b bottles, the machine will take bn/c minutes   In order to calculate the no. of hours taken , divide the product by 60.   So, our answer is bn/60c   Answer : bn/60c
Answer: C
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?  Choose the correct choice from the following answers:
A) 18 2/16
B) 18 2/11
C) 18 2/16
D) 18 2/14
E) 18 3/11

Solution: 13 CP = 11 SP   11 --- 2 CP   100 --- ? =>18 2/11%   Answer:18 2/11
Answer: B
A certain artist is selling five paintings for the following prices: $7,000, $8,000, $9,000, $23,000, and $25,000. If the price of the most expensive painting is increased $3,000, which of the following statements best describes the change in the mean and the median of the paintings? Choose one:
A) The mean and the median will remain unchanged.
B) The mean will remain unchanged but the median will increase.
C) The mean will increase but the median will remain unchanged.
D) The mean and the median will increase by the same amount.
E) The mean and the median will increase by different amounts.

Solution: Old set = {7000, 8000, 9000, 23000, 25000}.   New set = {7000, 8000, 9000, 23000, 28000} --> the median (middle term) will remain the same and the mean will increase.   Answer: The mean will increase but the median will remain unchanged..
Answer: C
A bike covers a certain distance at the speed of 77km/h in 7 hrs. If the bike was to cover the same distance in approximately 11 hrs, at what approximate speed should the bike travel? Select:
A) 53 km/h  B) 52 km/h  C) 51 km/h  D) 50 km/h  E) 49 km/h

Solution: Ans.(E)   Sol. Total distance = 77 × 7 = 539 km   Now speed = 539/11= 
539/11 = 49
49km/h
Answer: E
Triangle STV has sides ST = TV = 26, and SV = 20. What is the area?  Choose the correct choice from the following options:
A) 160	B) 180	C) 200	D) 220	E) 240

Solution: Let the base B of the triangle be SV = 20. Then we need to find the height H.   H^2 = 26^2 - 10^2 = 576 and then H = 24.   The area is (1/2)*B*H = 10*24= 
10*24 = 240
240   The answer is 240.
Answer: E
10 friends are living in 10 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 10 parking spots. In how many ways can they park their cars so that exactly 8 people park their cars in the spots allotted to them?
Choose the correct choice
A) 35 B) 40 C) 45 D) 50 E) 55

Solution: 10C8 = 45   The remaining 2 people in each case will be parked in each other's parking spots.   The answer is 45.
Answer: C
Three partners A,B,C invested 360000rs.,378000rs. and 414000rs.in a business.at the end of one year,there is profit of 64000rs.then calculate the profit share of C.
Choose the correct choice.
A) 24000	B) 23000	C) 28000	D) 2750	E) 2880

Solution: ratio of A,B,C investment=360000:378000:414000=20:21:23.   total profit=64000 rs.   share of C=[64000×23/64]=23000 rs.   answer 23000
Answer: B
In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. How old is Janice? Select
A) 18  B) 36  C) 40  D) 42  E) 45

Solution: Let Jane's age be J and daughters' age be D...   Given J   + 3= 
  + 3 = 3
3(D + 3 )=> J - 6 = 3D -> Eq1.   Given J-6 = (D-6)^2 --> Eq 2..   sub J-6 value in eq 2... 3D = D^2 - 12D + 36.   0 = D^2 - 15D + 36 => D = 12 or D = 3.   When D = 12 we get from eq 1... J+3 = 45 => J =42..   When D = 3 ..we get from eq 1.. J+3 = 18 => J = 15...   In the above options only 42 exits..   Answer: option 42 is correct answer..
Answer: D
Michele invests 200 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?
Choose the most appropriate option.
A) $0.00  B) $133.00  C) $26.69  D) $1575.00  E) $10000.00

Solution: Suppose she invests n$ in the starting then in the subesequent days the money left after the day will be   n/2, n/4, n/8, n/16, n/32   So, answer will be $26.69
Answer: C
10 different letters of English alphabet are given. A word is formed using 5 letters ( with replacement ) out of these. Find the probability that at least one letter is repeated in the word. Choose the most appropriate option:
A) (10^5 - 10P5 ) / 10^5
B) (10P5 ) / 10^5
C) (10^5 - 10P5 ) / 10
D) None of these
E) Cannot be determined

Solution: Explanation :   Without restriction,   No. of arrangements of 5 letter out of 10 different letters = 10(5).   To find at least one, it is better to find the probability of the complement of the event (no letter is repeated).   No. of arrangements of 5 letters ( out of 10) without repetition = 10P5.   => P (no letter is repeated)   = 10P5 / 10(5) .   => P ( at least one letter is repeated )   = 1 - ( 10P5 / 10(5) ).   Hence, the required probability is (105 - 10P5 ) / 10(5)   (10^5 - 10P5 ) / 10^5nswer : (10^5 - 10P5 ) / 10^5
Answer: A
A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds. The length of the train (in metres) is:	Choose the correct choice from the following options:
A) 186
B) 176
C) 175
D) 96
E) None of these

Solution: Explanation:   Let the length of train be L m.   Acc. to question   (279+L)/20 = L/8   2232+8L=20L   L= 2232/12= 
2232/12 = 186
186 m   186nswer 186
Answer: A
x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). When the equation is divided by (x + 1), it leaves a remainder -12. What are the values of ‘a’ and ‘b’? Choose the correct choice from the following
A) 2,2  B) 2,6  C) 2,1  D) 2,9  E) 2,7

Solution: x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). So for x = 2 the equation will satisfy or we can say if we substitute the value of x in the equation as 2 it will result into 0.   8 - 4a + 6 - b = 0 or 4a + b = 14 ....(i)   Now if we say that by dividing the equation by (x + 1) we get the remainder as -12 then if we put x = -1 in the equation then it will result in -12.   -1 - a - 3 - b = -12 or a + b = 8 ....(ii)   By solving (I) and (II) a = 2 and b = 6.   Answer:2,6
Answer: B
present ages of sam and john are in the ratio of 4:3 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what john's present age in years Choose the correct choice from the following
A) 6	B) 12	C) 20	D) 8	E) 15

Solution: sam and john be 4x years and 3x years respectively   (4x+3)/(3x+3)=11/9   9(4x+3)= 11(3x+3), 36x+27=33x+33   36x-33x=33-27   x=2, therefore john's present age : 3x=6 years   correct answer(6)
Answer: A
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time E will the job be finished? Choose the correct choice from the following answers.
A) Noon  B) 12:30 p.m.  C) 1:00 p.m.  D) 1:30 p.m.  E) 2:00 p.m.

Solution: Ans: C (1:00pm)   From 9:00-11:00c(2 hrs)   A can do 1/8 Job/hr. so in 2 hours he can do 1/4 job.   B can do 1/10 job/hr so in 2 hrs. he can do 1/5 Job.   C can do 1/12 job/hr so in 2 hours he can do 1/6 job.   Total = 1/4+1/5+1/6 = 37/60 Job   Now balance work needs to be done by B and C.   Balance Work= 23/60 Job   Combined rate of B and C = 1/10+1/12 = 11/60 job/hr.   So they will do 22/60 work in 2 hrs (approx. to the balance work of 23/60)   Hence the Job will be completed 2hrs. after 11:00 i.e. @ 1:00pm=E   Ans: 1:00 p.m. (1:00pm)
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
Pick:
A) 1 meters B) 6 meters C) 5 meters D) 3 meters E) 7 meters

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 24,000 m : C is the circumference   C = 1 meters   correct answer 1 meters
Answer: A
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/3:1/5 . What is the minimum no. of pencils that the person should have?  Choose the most appropriate option:
A) 41
B) 65
C) 70
D) 77
E) 98

Solution: Rakesh : Rahul : Ranjan : Rohit = 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5   Step 1: At First we need to do is LCM of 2,3,3 and 5 is 30.   Step 2: Then pencil are distributed in ratio among friends,   Rakesh = ( 1 / 2 x 30 ) = 15.   Rahul = ( 1 / 3 x 30 ) = 10.   Ranjan = ( 1 / 3 x 30 ) = 10.   Rohit = ( 1 / 5 x 30 ) = 6.   Step 3: Total number of pencils are ( 15 x + 10 x + 10 x + 6 x) = 41 x.   For minimum number of pencils x = 1 .   The person should have at least 41 pencils.   41)
Answer: A
The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?	Pick one:	A) 72	B) 23	C) 29	D) 26	E) 13

Solution: Sum of the marks for the 12 students   = 12 * 36= 
12 * 36 = 432
432.   The marks of each student are doubled, the sum also will be doubled.   The new sum= 432 * 2= 
432 * 2 = 864
864. So, the new average= 864/12= 
864/12 = 72
72.   72nswer: 72
Answer: A
Linda spent 5/6 of her savings on furniture and the rest on a TV. If the TV cost her $500, what were her original savings? Options.
A) $9000  B) $3000  C) $6000  D) $7000  E) $8000

Solution: If Linda spent 5/6 of her savings on furniture, the rest   6 / 6 - 5 / 6 = 1 / 6 on a TV   But the TV cost her $500. So 1 / 6 of her savings is $500. So her original savings are 6 times $500 = $3000   correct answer $3000
Answer: B
A and B together can complete a piece of work in 10days. If A alone can complete the same work in 15days, in how many days, in how many days can B alone complete that work? Choices
A) 10	B) 30	C) 25	D) 15	E) 45

Solution: (A+B)'s 1day's work = 1/10   A's 1day's work = 1/15   B's 1days's work = (1/10)-(1/15) = 1/30   Hence, B alone can complete the work in 30days.   Answer is 30
Answer: B
If the simple interest on a sum of money for 2 years at 5% per annum is $50, what is the compound interest on the same at the same rate and for the same time? Choose the correct answer:
A) $50  B) $51.5  C) $52  D) $52.5  E) $51.25

Solution: Sum = 50 x 100 /(2 x 5) = 500   = 500 x (1 +	5/100)^2   = 500 x 21/20 x 21/20   = 551.25.   C.I = 551.25 - 500 = 51.25.   Answer $51.25)$51.25
Answer: E
If ratio of profit of A and B is 4:5 and they together invested Rs.90,000 then money invested by B is	Choices:
A) Rs.48,000
B) Rs.45,000
C) Rs.30,000
D) Rs.50,000
E) None of the above

Solution: investment by B=(5*90000)/(4+5)= 
(5*90000)/(4+5) = 50_000
50000   ANSWER:Rs.50,000
Answer: D
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 8 years?  Choose the correct choice from the following choices:
A) 3 : 2
B) 1 : 3
C) 2 : 3
D) 3 : 1
E) 1 : 4

Solution: 1 : 4xplanation :   Simple Interest = PRT/100   Here Principal(P) and Rate of Interest (R) are constants   Hence, Simple Interest ∝ T   Required Ratio = Simple Interest for 2 years/Simple Interest for 8 years   =T1/T2   =2/8   =1/4   =1:4   Answer : Option 1 : 4
Answer: E