MU-NLPC/Calc-aqua_rat huggingface dataset:
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?	Select the correct option:
A) 676	B) 528	C) 758	D) 454	E) 546

Solution: Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)   = (1200)(30)(3) kg.   Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k   As the same provisions are available   => (1200)(30)(3) = (1200 + x)(25)(2.5)   x = [(1200)(30)(3)] / (25)(2.5) - 1200 => x =528.   Answer:528
Answer: B
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Choose the correct option.
A) 70	B) 71	C) 75	D) 78	E) 74

Solution: There will be 2 series   1st: 72 73 74 75 76 (Increasing by 1)   2nd: 76 77 78 79 (Increasing by 1)   Final: 72 76 73 77 74 78 75   ANSWER:78
Answer: D
A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?	Select.
A) 230m
B) 240m
C) 250m
D) 260m
E) 270m

Solution: speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s   time= 9sec   let the lenght of second train is x   total distance covered= 250 + x   therefore, D= speed*time   thus 250 + x = 500/9 * 9= 
500/9 * 9 = 500
500-250= 
500-250 = 250
250 m   ANSWER:250m
Answer: C
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choose the correct option:
A) 22  B) 37  C) 10  D) 28  E) 27

Solution: speed of the bus excluding stoppages = 54 kmph   speed of the bus including stoppages = 45 kmph   Loss in speed when including stoppages = 54 - 45= 
54 - 45 = 9
9kmph=> In 1 hour, bus covers 9 km less due to stoppages   Hence, time that the bus stop per hour = time taken to cover 9 km   =distancespeed=954 hour=16 hour = 606 min=10 min   Answer :10
Answer: C
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?+ 1611 + 647 equals
Choices: A) 1261 B) 3729 C) 2737 D) 1278 E) 1276

Solution: 1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261   1261nswer: 1261
Answer: A
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is	Choose the correct choice from the following options:	A) 1 km/hr.	B) 5 km/hr.	C) 3 km/hr.	D) 8 km/hr.	E) 12 km/hr.

Solution: Let Abhay's speed be x km/hr.   Then,	30/x	- 30/2 x= 3   6x = 30   x = 5 km/hr.   answer :5 km/hr.
Answer: B
Given a certain number (x), find x given that 5.76 is 12% of 40% of x?
Choose the correct choice from the following answers:
A) 130	B) 120	C) 140	D) 100	E) 300

Solution: Using elimination method to pick the correct option it will be discovered that option B i.e 120 is the correct option because 40% of 120 is 48 and 12% of 48 is 5.76.   ANSWER:120
Answer: B
In what ratio tea of Rs.80 per kg be mixed with 12kg tea of Rs.64 per kg, so thai cost price of mixture is Rs.74 per kg?  Options
A) 3:5	B) 5:3	C) 2:5	D) 2:3	E) None of the above

Solution: If 'x' kg of tea costing Rs. 80/kg is mixed with 12 kg costing Rs. 64/kg, then   Cost price of mixture= (x*80 + 12*64) /(x+12) =74 , 80x+768 =74x+888 ,x=20   Ratio of tea mixed=20/12=5/3   ANSWER:5:3
Answer: B
At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?  Choose the most appropriate option: A) 384 B) 258 C) 216 D) 120 E) 72

Solution: we have to work on the info and understand what that info takes us to...   1) there were five times as many females as males At Rahul's party,..   this means F=5M.. so total number=6M..   2) There were three times as many adults as children..   A=3C...   or total = 4C..   so the total is 4C or 6M..   since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..   or Total is multiple of LCM of 4,6..   LCM of 4,6= 12..   lets see which number is not multiple of 12..   A. 384...12*32   B. 258... no   C. 216....12*18   D. 120....12*10   E. 72......12*6..   so 258 is our answer..
Answer: B
A train 135 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Options:	A) 13 km/hr	B) 53.6 km/hr	C) 17 km/hr	D) 18 km/hr	E) 12 km/hr

Solution: Speed of the train relative to man = (125/10) m/sec   = (13.5) m/sec. [(13.5) * (18/5)] km/hr   = 48.6 km/hr. Let the speed of the train be x km/hr. Then, relative speed   = (x - 5) km/hr. x - 5 = 48.6 ==> x   = 53.6 km/hr.   Answer:53.6 km/hr
Answer: B
6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work
Select
A) 4 days  B) 5 days  C) 6 days  D) 7 days  E) 8 days

Solution: 6b+8g=1/10(1 day work) ------>(I)   26b+48w=1/2 -------->(II)   Divide both sides by 2 in (I) and multiply both sides by 5   now we get   15b+20b=1/4   so ans. is 4 days.   4 daysNSWER:4 days
Answer: A
A cubical block of metal weighs 4 pounds. How much will another cube of the same metal weigh if its sides are twice as long?	Answers:
A) 48
B) 32
C) 24
D) 18
E) 12

Solution: For example our cube have a side 1 meter, so we have 1 cubical meter in this cube   and this cubical meter weigth 4 pounds   If we take cube with side 2 meters we will have 8 cubical meters in this cube   8 meters * 4 pounds = 32 pounds   So answer is 32   And similar but more theoretical approach:   if we have sides a and b than they have equal ration with their areas:   a/b = a^2/b^2   and they have equal ration with their volumes:   a/b = a^3/b^3   we have two sides 1/2 so their volume will be in ratio 1/8   weight of one cube * volume of another cube     4 * 8= 
  4 * 8 = 32
32   So answer is 32
Answer: B
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Select:
A) 18% B) 9% C) 15% D) 6% E) 10%

Solution: Explanation:   1500 ---- 270   100 ---- ? => 18%   18%NSWER IS 18%
Answer: A
Which number need to add to 956734 to get a number exactly divisible by 412?  Choose the correct choice from the following.
A) 345  B) 342  C) 343  D) 342  E) 341

Solution: 956734 / 412 = 2322 and reminder = 70.   412-70= 
412-70 = 342
342   So, the next number divisible by 412 is 342 places in front of 956734   Which means 342 + 956734= 
342 + 956734 = 957_076
957076   342 should be added to 956734   342
Answer: B
There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.
Choose the correct answer:	A) 8a/3	B) 7a/3	C) 5a/3	D) a/3	E) 11a/3

Solution: Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it   Going this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3.   8a/3NSWER:8a/3
Answer: A
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?	Choose the correct choice from the following answers.
A) 377  B) 480  C) 281  D) 267  E) 288

Solution: SP = 600   CP = (SP)*[100/(100+P)]   = 600 * [100/(100+25)]   = 600 * [100/125] = Rs.480   Answer: 267
Answer: D
Find the number of factors T of 180 that are in the form (4*k + 2), where k is a non-negative integer? Choose the most appropriate option
A) 1	B) 2	C) 3	D) 4	E) T=6

Solution: As for the question, the most straightforward way is to list out the factors (this is fine for this question as 180 is a relatively small number). Number of factors of 180 T(=2^2*3^2*5) = 18. So listing the factors gives us:   1, 180   2, 90   3, 60   4, 45   5, 36   6, 30   9, 20   10, 18   12, 15   As the question asks us about the factors of the form 4k+2 ---> eliminate all ODD factors. You are now left with   2,4,6,10,12,18,20,30,36,60,90,180   For the form 4k+2, the first few values are 2, 6, 10, 14, 18, 22, 26, 30 ... already giving you 5 factors (=2,6,10,18,30). You can stop here and mark 6 (6th one = 90) as the correct answer as 5 is not given.   For checking any particular factor whether they conform to the form 4k+2---> do the following   4k+2 = 36 ---> 4k = 34 --> this will NOT give you an integer value for k ---> reject. Proceed with others until you find all the values asked.   T=6 is thus the correct answer.
Answer: E
If a is an integer from 1 to 96, what is the probability for a*(a+1)*(a+2) being divisible by 8?	Choose one:
A) a. 25%
B) b. 50%
C) c. 62.5%
D) d. 72.5%
E) e. 75%

Solution: There is another way I approach such questions if I am short of time (otherwise I prefer the logical approach given above) - Brute Force/ Pattern Recognition/Intuition - whatever you may want to call it.   We need to find the numbers in which the product is a multiple of 8. I know I get a multiple of 8 after every 8 numbers. I will also get an 8 when I multiply 4 by an even number. In first 8 numbers, I have exactly two multiples of 4.   Basically, I figure that I should look at the first 8 cases. In all other cases, the pattern will be repeated. It helps that n can be from 1 to 96 i.e. a multiple of 8:   1*2*3 N   2*3*4 Y   3*4*5 N   4*5*6 Y   5*6*7 N   6*7*8 Y   7*8*9 Y   8*9*10 Y   5 of the first 8 products are divisible by 8 so my answer would be 5/8 = 62.5% c. 62.5%
Answer: C
The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A?	Answers.
A) 12  B) 15  C) C is elder than A  D) Data inadequate  E) None

Solution: Solution   [(A+B) - (B+C)]	= 15   â€¹=â€ºA - C   = 15.   Answer 15
Answer: B
The arithmetic mean of the scores of a group of students in a test was 80. 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?
Options: A) A)101.4. B) B)111.7 C) C)102.27 D) D)115.1 E) E)121.2

Solution: Let the required means score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 80 * 100   = 1600 + 775 + 55x = 8000   = 55x = 5625   = x = 102.27   Answer:102.27
Answer: C
You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time?
Pick one:
A) 30%
B) 50%
C) 78%
D) 72%
E) 91%

Solution: B   50%   The probability will be 50% only as it always was. The next flip of coin is not dependent on what the results were in the previous flips.
Answer: B
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is:	Choose the most appropriate option.
A) 200 m	B) 225 m	C) 245 m	D) 250 m	E) 270 m

Solution: Let the length of the bridge:L   The equation now is L+150/12.5m/s(45km/hr or12.5m/s)=30   Solving, L =225m   ANSWER:225 m
Answer: B
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 7 rows or 6 rows or 4 rows, then no tree will be left. Find the least number of trees required	Choose the correct option.
A) 22
B) 84
C) 28
D) 76
E) 21

Solution: Explanation:   The least number of trees that are required = LCM(7,6,4) = 84.   Answer: 84
Answer: B
A woman buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: Pick.
A) 12% B) 45% C) 20% D) 34% E) 78%

Solution: C   Let the article be worth Rs. x.   C.P. 90% of Rs. x = Rs. 9x/10   S.P. = 110% of Rs. x = Rs. 11x/10   Gain = (11x/10 - 9x/10) = Rs. x/5   Gain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%
Answer: C
The arithmetic mean of the set S = {8, K, 7, 13, M, 8} is 9. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?	Pick.
A) 7	B) 7.5	C) 8	D) 8.5	E) 9

Solution: The sum of the numbers is 6*9= 
6*9 = 54
54   K+M= 54 - 13 - 8 - 8 - 7= 
54 - 13 - 8 - 8 - 7 = 18
18   Since K ≠ M, K and M do not equal 9.   Thus one of the two numbers is 8 or less and one is 10 or more.   Then middle two numbers in the set are 8 and 8.   The median is 8.   The answer is 8.
Answer: C
In an election, candidate X got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate? Choose the most appropriate option.
A) 280000  B) 300000  C) 355000  D) 356000  E) 357000

Solution: Total number of invalid votes = 15 % of 560000   = 15/100 × 560000   = 8400000/100= 
8400000/100 = 84_000
84000   Total number of valid votes 560000 – 84000= 476000   Percentage of votes polled in favour of candidate X = 75 %   Therefore, the number of valid votes polled in favour of candidate X = 75 % of 476000   = 75/100 × 476000   = 35700000/100= 
35700000/100 = 357_000
357000   357000)
Answer: E
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of
the boat in still water is Pick one.
A) 12 kmph	B) 13 kmph	C) 14 kmph	D) 15 kmph	E) None of these

Solution: Explanation:   Rate upstream = (7/42)*60= 
(7/42)*60 = 10
10 kmph.   Speed of stream= 6 kmph.   Let speed in still water is x km/hr   Then, speed upstream = (x ï¿½6) km/hr.   x-6 = 10 or x = 16 kmph   Answer: None of these
Answer: E
A person is traveling at 40 km/hr and reached his destiny in 6 hr then find the distance?	Select
A) 260 km
B) 240 km
C) 280 km
D) 340 km
E) 350 km

Solution: T = 6 hrs   D= T*S = 40*6= 
40*6 = 240
240 km   Answer is 240 km
Answer: B
How many odd and even numbers are there between 42 and 400?? Find the sum of odd numbers and the sum of even numbers!
Choose the correct option:  A) 2  B) 8  C) 27  D) 9  E) 21

Solution: Answer:9
Answer: D
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?	Options:
A) 4787
B) 2876
C) 2876
D) 5040
E) 1082

Solution: 'LOGARITHMS' contains 10 different letters.   Required number of words = Number of arrangements of 10 letters, taking 4 at a time.   =10P_4   = 5040.   Answer: 5040
Answer: D
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Choose the correct choice from the following options:
A) 33
B) 12
C) 66
D) 77
E) 88

Solution: 63 + 83 + 103 = a3 => a   = 12   Answer: 12
Answer: B
Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989? Select the correct option:
A) 8%
B) 25%
C) 41%
D) 59%
E) 70%

Solution: Dick saved = $ 3240   Jane saved = $ 1760 (jane saved $1240 less than she did the prior year)   Jane saved approximately $1240/$3000 (close to 41%) less in 1990   Answer: 41%
Answer: C
A candidate got 10% of the votes polled and he lost to his rival by 16000 votes. How many votes were cast?	Choose the correct option:
A) 7500
B) 20000
C) 2775
D) 5496
E) 6851

Solution: 10%-----------L   90%-----------W   ------------------   80%----------16000   100%---------? => 20000   Answer:20000
Answer: B
In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choose the correct choice from the following
A) 400
B) 625
C) 1,250
D) 2,000
E) 10,000

Solution: This is a rather straight forward ratio problem.   1. 80 fish tagged   2. 2 out of the 50 fish caught were tagged thus 2/50   2/50=80/x   thus, x=2000   Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?   You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.   2,000
Answer: D
The second of two numbers is two less than three times the first. Find the numbers if there sum is
42. Select the correct option.
A) 7-19 B) 8-20 C) 10-16 D) 11-31 E) 20-6

Solution: We are looking for two numbers.   #1 - x   #2 - 3x â€“ 2   The sum is 42. #1 + #2 = 42   Substituting x + 3x â€“ 2 = 42   4x â€“ 2 = 42   4x = 44   x = 11   The first number is 11, the second number is two less than three times 11 or 31.   correct answer 11-31
Answer: D
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(8.3) + E(–8.7) + o(–7.3) + e(6.6) is:  Choose the correct answer.
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: O(8.3) + E(–8.7) + o(–7.3) + e(6.6) = 9 + (-8) + (-9) + 6 = -2   The answer is -2.
Answer: A
Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 8 hours. How long would it take for both hoses to fill up two-thirds of the pool? Answers:
A) 5/12 hours
B) 5/8 hours
C) 8/5 hours
D) 16/7 hours
E) 12/5 hours

Solution: Hose 1 would fill the pool alone in 6 hours   i.e. 1 Hour work of Hose 1 = 1/6   Hose 2 would fill the pool alone in 8 hours   i.e. 1 Hour work of Hose 2 = 1/8   i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/8) = (7/24)   i.e. (7/24) work can be finished by Hose1 and Hose2 together in 1 hour   i.e. (2/3) work can be finished by Hose1 and Hose2 together in 1*(24/7)*(2/3) = 16/7 hour   Answer: Option 16/7 hours
Answer: D
A room is 20 meters long, 15 meters wide 10 meters in height. The longest possible rod which can be placed in the room is Choose the correct answer
A) 25.93 meters	B) 26.93 meters	C) 24.93 meters	D) 24.5 meters	E) 24.75 meters

Solution: Square root of 20^2+15^2+10^2...(Diognal) which is square root of 725 that lies 26<√725<27. Hence the answer should be 26.93 meters
Answer: B
Find the odd man out. 49, 65, 81, 144, 169, 225, 441  Choose the correct answer:	A) 49	B) 65	C) 81	D) 144	E) 169

Solution: Explanation :   Each of the given numbers except 65 is a perfect square   Answer : Option 65
Answer: B
Three bells commence tolling together and toll at intervals of 1, 3 and 5 seconds respectively. In 10 minutes, how many times do they toll together ?
Choose the correct option.
A) 39
B) 40
C) 41
D) 42
E) 43

Solution: LCM of 1, 3 and 5 is 15.   So, after each 15 seconds, they would toll together.   Hence, in 10 minutes, they would toll 10*60 seconds / 15 seconds = 40 times   But then the question says they commence tolling together. So, they basically also toll at thebeginning(0second).   So, total tolls together = 40+1= 
40+1 = 41
41   Answer 41
Answer: C
The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the
due period.	Options:
A) 6months  B) 5months  C) 8months  D) 3months  E) None of these

Solution: Explanation:   P.W= Amount – (T.D)   Time = 100xTD/PWx R   Answer: 8months
Answer: C
In the coordinate plane a slope of the line K is 4 times the x-intercept of the line K. What is the y-intercept of the line K?
Pick
A) -4	B) 4	C) -1/4	D) 1/4	E) 2

Solution: As 4y=mx+c, from 4y=0m+m we get y=1/4. Hence, the correct answer choice is 1/4.
Answer: D
If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+7 is divided by 41? Pick one.
A) 12 B) 5 C) 6 D) 16 E) 18

Solution: X can be written as 82K + 5 or X = 5,87,169,etc. when K =0,1,2 etc   X + 7 = 82K + 5+7= 82K +12 or X +7 = 12,94, 176 etc. k=0,1,2   When divided by 41, we will get the remainder 12.   12
Answer: A
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the the total interest accrued in one year was 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
Choose the most appropriate option:
A) 5000	B) 6500	C) 8000	D) cannot be determined	E) None of these

Solution: Let x, y and z be the amounts invested in schemes A, B and C respectively. Then,   (x×10×1/100)+(y×12×1/100)+(z×15×1/100)=3200   ⇒ 10x + 12y + 15z = 320000 ..... (i)   Now, z = 240% of y = 12⁄5y..... (ii)   And, z = 150% of x = 3⁄2x   ⇒ x = 2⁄3z = (2⁄3 × 12⁄5)y = 8⁄5y......(iii)   From (i),(ii) and (iii), we have :   16y + 12y + 36y = 320000 ⇒ 64y = 320000 ⇒ y = 5000.   ∴ Sum invested in Scheme B = 5000.   5000nswer 5000
Answer: A
A train 240 m long, running with a speed of 108 km/hr will pass a tree in?  Choose one:  A) 8 sec  B) 16 sec  C) 18 sec  D) 14 sec  E) 12 sec

Solution: Speed = 108 * 5/18= 
108 * 5/18 = 30
30 m/sec   Time taken= 240 * 1/30= 
240 * 1/30 = 8
8 sec   8 secnswer: 8 sec
Answer: A
A box contains 15 items. Six of the items are Pen, five are pencil, and five are eraser. If two items are randomly selected from the box, one after the other, what is the probability that both will be pen?
Choose the correct choice from the following answers:
A) 1/11
B) 1/9
C) 1/3
D) 1/7
E) 8/9

Solution: Probability of getting the first pen - 6/15   Probability of getting the second pen - 5/14   total probability = 6/15*5/14 = 1/7   correct option 1/7
Answer: D
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 3. What is the value of 13y – x ?  Choose the correct choice from the following answers:
A) 1
B) 0
C) -1
D) -2
E) -4

Solution: (1) x = 11y + 4   (2) 2x = 24y + 3   Let's subtract equation (1) from equation (2).   13y - 1 = x   13y - x = 1   The answer is 1.
Answer: A
The radius of a semi circle is 6.3 cm then its perimeter is?
Select the correct option
A) 32.9
B) 32.4
C) 32.2
D) 32.1
E) 32.7

Solution: 36/7   r = 6.3 = 32.4   Answer:32.4
Answer: B
Which of the following fractions is greater than 23/50?	Choose the most appropriate option.
A) 2/5  B) 11/34  C) 43/99  D) 16/34  E) 9/20

Solution: Answer 16/34   23/50= 
23/50 = 23/50 = around 0.46
0.46   16/34=0.470 which is 0.01 greater than 0.46
Answer: D
A, B and C started a partnership business by investing Rs.30000, Rs.45000, Rs.50000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?  Choose the correct choice from the following answers:
A) 70000	B) 60000	C) 80000	D) 90000	E) 50000

Solution: A:B:C =30000:45000:50000   =6:9:10   Let total profit =p   Then pÃ—10/25=36000   p=(36000Ã—25)/10=90000   Answer is 90000.
Answer: D
If 'a' is a positive integer exactly divisible by 3 or 5 but not divisible by 6.What could possibly be the value of 'a' ? Choose one:
A) 60	B) 30	C) 18	D) 27	E) 15

Solution: 60 and 30 are both divisible by 3 and 5 but also by 6. so they are not the right answer.   18 and 27 are both clearly not divisible by 5(not correct)   15 is both divisible by 3 and 5 but not by 6.   answer : (15) 15
Answer: E
A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested?	Choices.
A) $500 B) $520 C) $540 D) $560 E) $580

Solution: S.I for 5 years = $850 - $600 = $250   The S.I. is $50/year   S.I. for 2 years 850 -  600= 
850 -  600 = 250
$250   The S.I. is $50/year   S.I. for 2 years= $100   Principal = $600 - $100 = $500   The answer is $500.600 -  100= 
600 -  100 = 500
$500   The answer is $500.
Answer: A
A bike covers a certain distance at the speed of 68km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?	Choose the correct choice from the following.
A) 85 km/h B) 85.34 km/h C) 87.67 km/h D) 90.66 km/h E) 90.64 km/h

Solution: Ans.(D)   Sol. Total distance = 68 × 8 = 544 km   Now speed = 544/6 = 90.66 km/h
Answer: D