MU-NLPC/Calc-aqua_rat huggingface dataset:
A man on tour travels first 100 km at 64 km/hr and the next 100 km at 80 km/hr. Find the average speed for first 200 km of tour.
Choose the correct choice from the following answers:
A) 50.11 km/hr
B) 51.11 km/hr
C) 52.11 km/hr
D) 58.00 km/hr
E) None of these

Solution: Explanation:   We know Time = 58.00 km/hristance/speed   So total time taken =   (100/60+100/80)=35/12hours   Time taken for 200 Km = 200∗35/12=58.00km/hr   Option 58.00 km/hr
Answer: D
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Pick one:
A) 9
B) 8
C) 5
D) 6
E) 4

Solution: Explanation:   (700 â€“ 300)/42 = 9 22/42 => 9 Numbers   9nswer:9
Answer: A
An article is bought for Rs.575 and sold for Rs.675, find the gain percent?	Pick one:  A) 17.39%  B) 33 1/6%  C) 33 1/3%  D) 38 1/3%  E) 33 2/3%

Solution: 575 ---- 100   100 ---- ? => 17.39%   17.39%nswer:17.39%
Answer: A
Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it? Choose the correct answer.
A) 30 minutes  B) 40 min  C) 50 minutes  D) 60 minutes  E) 70 minutes

Solution: Solution:   Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.   Thirty Minutes + Fifteen minutes = Forty Minutes   Answer 40 min
Answer: B
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 115 barrels of oil? Choose the correct choice from the following options:
A) 2 B) 3 C) 4 D) 18 E) 180

Solution: Well A produces 1/2 a barrel per minute.   Wells B and C produce 1/3 + 1/4 = 7/12 (a little more than half) a barrel per minute.   So all three wells combined produce a little more than 1 barrel per minute.   So for 115 barrels they will take a bit less than 115 mins which will be more than 1 hrs but less than 2 hrs.   2nswer (2)
Answer: A
If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 600, then x must be a multiple of which of the following?  Choose the correct choice:
A) 3.	B) 6.	C) 7.	D) 8.	E) 10.

Solution: If y is a multiple of 5, then 6y is also a multiple of 5.   3x = 600 - 6y   600 - 6y is even and it is a multiple of 5.   Thus x must also be even and a multiple of 5.   Therefore x must be a multiple of 10.   The answer is 10..
Answer: E
Which resistive component is designed to be temperature sensitive?	Answers
A) 27	B) 66	C) 25	D) 18	E) 11

Solution: Explanation:   No answer description available for this question. Let us discuss.   27nswer: Option 27
Answer: A
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?	Select:
A) 5.6%	B) 6 %	C) 8.2 %	D) 9.3 %	E) 2%

Solution: Explanation:   Cost Price of 1 toy = Rs.(375/12)= Rs. 31.25   Selling Price of 1 toy = Rs. 33   So, Gain = Rs. (33 - 31.25) = Rs. 1.75   Profit % =(1.75/31.25*100)%=28/5= 
28/5 = 28/5 = around 5.6
5.6%   5.6%NSWER:5.6%
Answer: A
Roger can read a book in k minutes. What part of the book can he read in 6 minutes? (k>8)
Choose the correct choice
A) 8+k	B) 8/k	C) k/8	D) (k+ 8)/k	E) (k-8) / k

Solution: Let's sayk = 24   That is, it takes 24 minutes to read the entire book.   So, in 8 minutes, Roger can read1/3of the book   So, we're looking for the answer choice that yields an OUTPUT of1/3whenk = 24   A) 8+24=32ELIMINATE   B) 8/24=1/3KEEP   C)24/8 =3ELIMINATE   (k+ 8)/k) (24+ 8)/24=32/24 = 4/3ELIMINATE   E) (24-8) /24=16/24 = 2/3ELIMINATE   Answer:(k+ 8)/k
Answer: D
Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other? Choose one:	A) 1:2	B) 2:1	C) 1:3	D) 3:1	E) 1:4

Solution: root (b):root(a)   2:1   ANSWER:2:1
Answer: B
The greatest number of four digits which is divisible by 18, 25, 40 and 75 is:  Choose the correct option:
A) 9000
B) 9400
C) 9600
D) 9800
E) 9200

Solution: Greatest number of 4-digits is 9999.   L.C.M. of 18, 25, 40 and 75 is 1800.   On dividing 9999 by 1800, the remainder is 999.   Required number  (9999 - 999)= 
 (9999 - 999) = 9_000
9000.   9000nswer: Option 9000
Answer: A
Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Choose the correct answer:
A) q/9 B) q/5 C) q/6 D) q/7 E) q/8

Solution: Profit = q   Profit to company founder = 2q/3   Profit to other partners = q/3   Number of other partners = 3   Profit to each partner = (q/3)/3 = q/9   q/9nswer: q/9
Answer: A
Johnny makes $3.25 per hour at his work. If he works 8 hours, how much money will he earn?  Choose the correct option
A) $30 B) $54 C) $26 D) $12 E) $9.60

Solution: 3.25*8= 
3.25*8 = 26
26. Answer is $26.
Answer: C
The circumferences of the fore and hind-wheels of a carriage are 2 2/5 and 3 3/7 meters respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that their chalk marks may be again on the ground at the same time?
Pick:
A) 18 metres  B) 16 metres  C) 38 metres  D) 42 metres  E) 24 metres

Solution: A little reflection will show that chalk marks will touch the ground together for the first time after the wheels have passed over a distance which is the LCM of 2 2/5 metres and 3 3/7 metres.LCM of 12/5 metres and 24/7 metres =24 metres.   Answer is 24 metres
Answer: E
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 675meters, after what time will they meet at the starting point?	Choose the correct choice from the following choices.
A) 20sec	B) 15sec	C) 45sec	D) 50sec	E) 1min

Solution: They meet every 675/7+8 = 45sec   Answer is 45sec
Answer: C
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 2 km apart, if they walk in the same direction? Choose the correct choice from the following options:	A) 5hours	B) 6hours	C) 1hours	D) 10hours	E) 12hours

Solution: To be 2km apart they take 1 hour   To be 10km apart they take = 1/2 * 2= 
1/2 * 2 = 1
1 hours   Answer is 1hours
Answer: C
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Pick.
A) 12 1/2 years	B) 12 1/6 years	C) 12 7/2 years	D) 12 1/4 years	E) 22 1/2 years

Solution: 100 ---- 200 ---- 5   200 ---- 5   100 ---- 2 1/2   ------------------   600 ---- 12 ½ years   12 1/2 yearsnswer: 12 1/2 years
Answer: A
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 16 days more? Choose the most appropriate option: A) 122 B) 140 C) 199 D) 188 E) 190

Solution: 760 ---- 22   760 ---- 20   x ----- 16   x*16 = 760*20   x = 950   760   -------   190   Answer: 190
Answer: E
A certain bag contains 100 balls â€” 20 white, 30 green, 10 yellow, 37 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Choose the correct choice from the following answers.
A) 0.9 B) 0.75 C) 0.6 D) 0.8 E) 0.5

Solution: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (20 + 30 + 10)/100 = 60/100 = 0.6.   Answer is 0.6
Answer: C
A 2 digit known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
Choose the correct choice from the following choices:
A) 20 B) 22 C) 24 D) 25 E) 28

Solution: Let the ten's digit be x.   Then, unit's digit = x + 2.   Number = 10x + (x + 2) = 11x + 2.   Sum of digits = x + (x + 2) = 2x + 2.   (11x + 2)(2x + 2) + (  + 2)= 
+ (  + 2) = 2
2x + 2.   (11x + 2)(2x + 2)= 144   22x2 + 26x - 140 = 0   11x2 + 13x - 70 = 0   (x - 2)(11x + 35) = 0   x = 2.   Hence, required number = 11x + 2 = 24.   24
Answer: C
A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?	Choose the correct option:  A) 15  B) 20  C) 10  D) 5  E) 8

Solution: Answer: D= 5.   Assume Rs. 100 to be the price at which the retailer buys from wholesaler.   50% increase makes Retail price = 150.   Now 30% decrease -> (1-30/100) * 150 = 105.   Now compared to the wholesale price of 100, 5% increase is what will have the same effect as increasing the wholesale price.
Answer: D
The area of the largest circle that can be drawn inside a square of side 70 Cm in length is:
Pick one
A) 3600  B) 2646  C) 3850  D) 4215  E) 5205

Solution: Radius of required circle = 35 3850m   its area = 22/7 × 35 × 35   110× 35= 3850 3850m(power)2   Answer is 3850.
Answer: C
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct choice from the following.
A) 1.8  B) 6.1  C) 4.5  D) 1.5  E) 2.5

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer: 1.5
Answer: D
If 5a + 7b = n, where a and b are positive integers, what is the largest possible value of n for which exactly one pair of integers (a, b) makes the equation true?
Options:
A) 35	B) 48	C) 69	D) 70	E) 74

Solution: 5*a1 + 7*b1 = n   5*a2 + 7*b2 = n   5*(a1 - a2) = 7*(b2 - b1)   since we are dealing with integers we can assume that a1 - a2 = 7*q and b2 - b1 = 5*q where q is integer, so whenever we get a pair for (a;b) we can find another one by simply adding 7 to a and subtracting 5 from b or vice versa, subtracting 7 from a and adding 5 to b.   Lets check how it works for our numbers, starting from the largest:   E)74 = 5*12 + 7*2 (a1 = 12, b1 = 2), subtract 7 fromaand add 5 tobrespectively, so a2 = 5 and b2 = 7, second pair - bad   70)70 = 5*7 + 7*5 (a1 = 7, b1 = 5), if we add 7 to a we will have to subtract 5 from b but b can't be 0, so - no pair, if we subtract 7 from a, we'll get a = 0 which also isn't allowed - no pair, thus this is the only pair for (a;b) that works,good!, thus   70 is the answer
Answer: D
If a survey shows that 36 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?  Choose the correct choice from the following choices
A) 56%  B) 64%  C) 88%  D) 82%  E) 86%

Solution: 36 out of 300 supports the bill and we are asked to find the percent who the does not support the bill.   36 out of 300 supports the bill = 12 out of 100 supports the bill ( taking in % terms )   12 out of 100 supports the bill = 88 (100-12) doesn't support the bill   So, answer is (88%) 88%
Answer: C
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Choose the correct choice from the following answers
A) 70%	B) 80%	C) 90%	D) None of above	E) 60%

Solution: Explanation:   Let C.P.= Rs. 100.   Then, Profit = Rs. 320,   S.P. = Rs. 420.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 420.   Profit = Rs. (420 - 125) = Rs. 295   Required percentage = (295/420) * 100   = 70%(approx)   70%nswer: 70%
Answer: A
A solution of 100 litres contains milk and water in the ratio 5:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?  Choose one.
A) 2.68
B) 2.55
C) 2.34
D) 2.57
E) 2.89

Solution: Exp. Total new quantity = original sol + water =100+10= 
100+10 = 110
110   New ratio= 3:2, New quantity of milk =3/5*110= 
3/5*110 = 66
66 Lit,   New quantity of water= 2/5*110= 
2/5*110 = 44
44 Lit   Water present initially= (44-10)= 
(44-10) = 34
34 Lit   Ratio= 66/34 =5/x There for x = 2.57   Answer: 2.57
Answer: D
The tax on a commodity is diminished by 18% and its consumption increased by 15%. The effect on revenue is?  Choose the correct choice from the following options.
A) 2%
B) 8.7%
C) 5.7%
D) 6.7%
E) 1%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   82 * 115= 
82 * 115 = 9_430
9430   -----------   10000-----------570   100-----------?=> 5.7% decrease   Answer: 5.7%
Answer: C
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Choose the correct choice from the following answers
A) 35
B) 38
C) 40
D) 42
E) 54

Solution: Explanation:   Let the number of correct answers be X.   Number of incorrect answers = (60 – X).   4x – (60 – x) = 130   => 5x = 190   => x = 38   ANSWER IS 38
Answer: B
Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Select the correct option
A) 30 B) 42 C) 120 D) 240 E) 960

Solution: 4 people ,7 seats, only 2 can drive   if inna is in one seat remaining, 3 people can be arranged in 3p3 i.e 3! =6 ways   since any one can drive total ways = 6 *2= 
6 *2 = 12
12 ways   4 seats can be chosen out of remaining 6 seats in 6c3 ways= 6!/(3!*2!)= 20 ways     12*20= 
  12*20 = 240
240   240
Answer: D
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).	Answers:
A) 2 hours 2 minutes B) 3 hours 5 minutes C) 4 hours 6minutes D) 5 hours 7 minutes E) 7 hours 9 minutes

Solution: In 1 hour pump A can fill 1/5 of a tank and pump B can fill 1/8 of the same tank. So in 1 hour the two pumps working together can fill   1/5 + 1/8 = 13 / 40 of a tank   Since the rate of the two pumps working together is 13/40, the time t needed to fill the tank by the two pumps is found by solving   (13/40) t = 1   t = 40 / 13 = 39/13 + 1/13 hours   = 3 hours and (1/13)*60 minutes   = 3 hours 5 minutes (rounded to the nearest minute)   correct answer 3 hours 5 minutes
Answer: B
John and Jacob set out together on bicycle traveling at 15 and 12 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John two hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)  Choose the most appropriate option.
A) 7
B) 7 1/3
C) 7 1/2
D) 4
E) 7 1/2

Solution: John's speed - 15 miles/hr   Jacob's speed - 12 miles/hr   After 40min (i.e 2/3hr), distance covered by John = 15x2/3 = 10 miles.   Jacob continues to ride for a total of 2 hour and 40min (until John's bike is repaired). Distance covered in 2 hour 40min (i.e 8/3hr) = 12x8/3 = 32 miles.   Now, when John starts riding back, the distance between them is 22 miles. Jacob and John are moving in the same direction.For John to catch Jacob, the effective relative speed will be   15-12= 
  15-12 = 3
3 miles/hr.   Thus, to cover 22 miles at 3 miles/hr, John will take 22/3= 7 1/3 hours   Answer 7 1/3
Answer: B
The average of first five prime numbers which are odd is?	Choose the correct choice from the following options:
A) 15.5
B) 15.7
C) 15.2
D) 7.8
E) 15.1

Solution: Sum of first 5 prime no. which are odd = 39   Average = 39/5= 
39/5 = 39/5 = around 7.8
7.8   Answer:7.8
Answer: D
Cole drove from home to work at an average speed of 60 kmh. He then returned home at an average speed of 90 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?	Select
A) 66
B) 70
C) 72
D) 75
E) 78

Solution: Let the distance one way be x   Time from home to work = x/60   Time from work to home = x/90   Total time = 2 hrs   (x/60) + (x/90)= 2   Solving for x, we get x = 72   Time from home to work in minutes= (72)*60/60= 
(72)*60/60 = 72
72 minutes   Ans= 72
Answer: C
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $750 (before payroll deductions)? Pick:
A) 1600	B) 1625	C) 1650	D) 1655	E) 1675

Solution: total pay = 40*$12.50 + $0.16*x = 760   x = 260 / 0.16= 
260 / 0.16 = 1_625
1625   The answer is 1625.
Answer: B
The product of all the prime numbers less than 20 is closest to which of the following powers of 10? Choose the correct choice from the following choices:	A) 10^9	B) 10^8	C) 10^7	D) 10^6	E) 10^5

Solution: Quickly approximate   2, 3, 5, 7, 11, 13, 17, 19   Make groups     2*5= 
  2*5 = 10
10   3*17= 50 (approximately)   7*13 = 100 (approximately)   11*19 = 200 (approximately)   So you make 7 zeroes (the 2 and the 5 also make a 0). When you multiply all these, the answer will be close to 10^7   ANSWER:10^7
Answer: C
Dick and Jane each saved $1,000 in 1989. In 1990 Dick saved 15 percent more than in 1989, and together he and Jane saved a total of $2,000. Approximately what percent less did Jane save in 1990 than in 1989?
Choose the correct choice:
A) 3%
B) 5%
C) 10%
D) 15%
E) 18%

Solution: 1990   15%ick saved = $ 1150   Jane saved = $ 850 (jane saved $150 less than she did the prior year)   Jane saved approximately $150/1000$ (15%) less in 1990   Answer: 15%
Answer: D
The average of 11numbers is 500. Out of 11numbers the average of first 6no. is 50, and last 6numbers is 60 then find 6th number?
Answers:
A) 95 B) 80 C) 110 D) 120 E) 72

Solution: 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s   answer = 6*50+6*60-11*50= 
6*50+6*60-11*50 = 110
110   Answer is 110
Answer: C
If w is 40 percent less than q, q is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w? Choose the correct choice from the following answers:  A) 4%  B) 18%  C) 36%  D) 40%  E) 50%

Solution: GIven w= 0.6q, q=0.6y, z=0.54y, substituting, w=2/3 Z----> z= 1.5w and thus z is 50% greater than w. 50% is the correct answer.
Answer: E
The greatest common factor of positive integers m and n is 9. What is the greatest common factor of (2m^2, 2n^2)? Choose the correct choice from the following options:
A) 9 B) 81 C) 162 D) 324 E) 405

Solution: m = 9j and n = 9k, where the greatest common factor of j and k is 1.   2m^2 = 2*9*9*j^2 and 2n^2 =  2*9*9= 
 2*9*9 = 162
162   The answer is 162.
Answer: C
Two pipes A and B can fill a tank in 5 hrs and 20 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?  Answers:
A) 5 hr
B) 4 hr
C) 6 hr
D) 3 hr
E) 7 hr

Solution: Explanation:   Pipe A can fill 1/5 of the tank in 1 hr   Pipe 4 hr can fill 1/20 of the tank in 1 hr   Pipe A and 4 hr together can fill 1/5+1/20=1/4 of the tank in 1 hr   i.e., Pipe A and 4 hr together can fill the tank in 4 hours   Answer: Option 4 hr
Answer: B
If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
Then 6 = ?
Hint: Its a logic Riddle not a mathematical riddle  Pick: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 1   1   1s stated   1=6 => 6=1
Answer: A
Which of the following is a prime number ?? Choose the correct choice from the following options.
A) 33 B) 81 C) 32 D) 93 E) 11

Solution: E   11   Clearly, 11 is a prime number.   Answer is 11
Answer: E
A city council will select 2 of 8 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choose the correct choice from the following options:
A) 36
B) 72
C) 168
D) 216
E) 432

Solution: OA 168   81682 * 61681   using the combination formula to choose 2 from 8 and 1 from 6
Answer: C
The angle between the minute hand and the hour hand of a clock when the time is 8:30  Choose the correct choice from the following options:  A) 33  B) 75  C) 29  D) 27  E) 299

Solution: Explanation:   Angle traced by hour hand in \inline \frac{17}{2} hrs = \inline \left ( \frac{360}{12}\times \frac{17}{2} \right )^{o} = 255   Angle traced by min hand in 30 min = \inline \left ( \frac{360}{60}\times 30 \right )^{o} = 180   \inline \therefore Required angle = (255 - 180)= 
(255 - 180) = 75
\inline 75^{o}   Answer: 75) 75
Answer: B
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r − s?  Pick one
A) 8 B) 2 C) − 2 D) − 3 E) − 5

Solution: Given: x^2 − 2x − 15 = (x + r)( x + s)   Factor to get: (x - 5)(x + 3) = (x + r)( x + s)   Rewrite as: (x + -5)(x + 3) = (x + r)( x + s)   So, it's possible that r = -5 and s = 3   Here, r - s = (-5) - 3   = -8   Try REVERSING the factorization:   x^2 − 2x − 15 = (x + r)( x + s)   Factor to get: (x + 3)(x - 5) = (x + r)( x + s)   Rewrite as: (x + 3)(x + -5) = (x + r)( x + s)   So, it's possible that r = 3 and s = -5   Here, r - s = 3 - (-5)= 
3 - (-5) = 8
8   8nswer: 8
Answer: A
the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the youngest child ? Choose one.
A) 4 year
B) 8 year
C) 10 year
D) None of these
E) 9 year

Solution: Solution   let the ages of the children be x,(x + 3),(x + 6),(x + 9) and (x + 12) year.   then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 ⇔ 5 x = 20 ⇔ x= 4.   ∴ Age of the youngest child = x = 4 years. 4 yearnswer 4 year
Answer: A
Working together, John and Jack can type 30 pages in one hour. If they would be able to type 35 pages in one hour if Jack increases his typing speed by 25%, what is the ratio of Jack's normal typing speed to that of John?
Pick one.
A) 3/2	B) 2/1	C) 5/2	D) 4/3	E) 1/3

Solution: Lets say John types x pages an hour and Jack types y pages an hour.   We know that x+y=30   Jack increase speed by 25% means he will type 1.25y pages an hour.   So we get x+1.25y=35   We need to know the ratio of Jack's speed to John's speed. This is going to be proportional to the number of pages each can type in an hour, hence (y/x).   Subtracting both : 0.25y=5 so y=20 ... so x=10   (y/x)=2/1   Answer is (2/1)
Answer: B
A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets 10,000 less than the son, find the total worth of the property.	Choose the correct choice from the following answers.
A) 16,200  B) 16,250  C) 16,500  D) 15,300  E) None of these

Solution: Let Son’s share = S;   Daughter’s share = D;   and Wife’s share = W.   Also, S : W = W : D = 3 : 1   ∴ S : W : D = 9 : 3 : 1   then S = 9x , D = x   and 9x – x = 10,000 ⇒ x = 1250   ∴ Total worth of the property = (9 + 3 + 1)= 
(9 + 3 + 1) = 13
13x= 13 × 1250 = 16,250   Answer 16,250
Answer: B
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?  Pick
A) 70 lbs	B) 40 lbs	C) 30 lbs	D) 50 lbs	E) 60 lbs

Solution: 100(x)(7/100)+(100(1-x)) (17/100)=100(10/100)   7x+17-17x=10   -10 x=-7   x=7/10   100lbs x (7/10) = 70 lbs   70 lbsNSWER:70 lbs
Answer: A
A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?  Choose one
A) 3	B) 4	C) 6	D) 7	E) 8

Solution: sax Work done by Afar 3 days : i   J   .. Remzming war — 1   .Work done by (A + B) for 1 day :   . Work done by a for 1 day   6 days   6
Answer: C
The sum of first five prime numbers is?
Pick one.
A) 11  B) 18  C) 26  D) 28  E) None of these

Solution: Required sum = (2+3+5+7+11)= 
(2+3+5+7+11) = 28
28.   Correct Option : 28
Answer: D