MU-NLPC/Calc-aqua_rat huggingface dataset:
There are two inlets and one outlet to a cistern. One of the inlets takes 4 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. Both of the inlets are turned on at 8:30 AM with the cistern completely empty, and at 10:30AM, the outlet is turned on and it takes 1 more hour to fill the cistern completely. How much time does the outlet working alone takes to empty the cistern when the cistern is full?  Pick one.
A) 2 hours B) 2.5 hours C) 3 hours D) 3.5 hours E) 8 hours

Solution: The combined inflow rate of the two inlets is 1/4 + 1/8 = 3/8 cistern/hour. Thus, working together, it takes 8/3 hours (time is reciprocal of rate) to fill the cistern.   From 8:30 AM to 10:30 AM, so in 2 hours, the inlet pipes will fill (time)*(rate) =2*3/8 = 3/4 th of the cistern .   Then the outlet is turned on and the remaining 1/4 th of the cistern is filled in 1 hour.   Letting x to be the rate of the outlet, we would have: 3/8 - x = 1/4 --> x = 1/8 cistern/hour, which means that it takes 8 hours the outlet working alone to empty the cistern.   Answer: 8 hours.
Answer: E
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Options:
A) 30 years
B) 76 years
C) 20 years
D) 15 years
E) 19 years

Solution: Present total age of the members   = 26(5) = 130 years.   Present age of the youngest member   = 10 years   Present total age of the remaining four members   = 130 -10= 
130 -10 = 120
120 years   Their average age at the time of the birth of the youngest member= [120 - (4 * 10)] / 4 = 30 - 10= 
30 - 10 = 20
20 years.   Answer: 20 years
Answer: C
The Lucknow-Indore Express without its rake can go 24 km an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagon attached. If it is known that with four wagons its speed is 20 km/h, the greatest number of wagons with which the engine can just move is  Choose the correct choice from the following
A) 144
B) 140
C) 143
D) 124
E) 142

Solution: Solution: Speed = 24- k√n;   Putting the value, n = 4;   we get, k = 2.   Now the equation (as k = 2) become, S = 24-2√n;   Thus, it means when n = 144, speed will be zero. Hence, train can just move when 143 wagons are attached.   Answer: Option 143
Answer: C
A circular dashboard of radius 1.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
Choose the correct choice from the following.
A) 1.0  B) 0.75  C) 0.25  D) 0.5  E) 1.25

Solution: .25   because the area of the circle with half radius 'r/2' is 1/4th of the area of circle with radius r   ANSWER:0.25
Answer: C
A high school has 360 students 1/2 attend the arithmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 3/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs. Select:
A) 45  B) 40  C) 35  D) 50  E) 55

Solution: Basically, this question is asking you to figure out how many students are being double-counted.   A-Club has 180 members (1/2 of 360)   B-Club has 225 members (5/8 of 360)   C-Club has 270 members (3/4 of 360)   We can create an equation to solve this:   180+225+270 = n + x + 2y   where n is the number of students, x is the number of students in two clubs, and y is the number of students in three clubs.   The question provides y for us (135).   180+225+270 = 360 + x + 270   x = 405-360= 
405-360 = 45
45   45
Answer: A
Calculate how long it will take a swimmer to swim a distance of 10km against the current of a river which flows at 3km/hr, given that he can swim in still water at 5km/h
Choose the correct answer: A) 3 B) 4 C) 5 D) 6 E) 7

Solution: swim in still water at = 5   speed of river= 3   US = 5 - 3= 
5 - 3 = 2
2   Distance= 10   T = 10/2= 
10/2 = 5
5   Answer: 5
Answer: C
Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 50% ?  Choose the correct answer
A) 0 B) 1.46 C) 2 D) 1.34 E) 4

Solution: Let x be the number of males.   Total contestants = 10   Probability that the first contestant selected is a male = x/10   Probability that the second contestant selected is also a male = x-1/9   Total probability = x(x-1)/ 90 < 1/50 (this probability is less than 50%)   Solving for x we get, x(x-1)< 9/5. This implies that the maximum value of x can be 1.34.   Answer 1.34!
Answer: D
A semicircle has a radius of 20. What is the approximate perimeter of the semicircle?  Choose the correct choice.
A) 50 B) 25 C) 86 D) 75 E) 102

Solution: circumference of a circle =2pi*r   perimeter of a semicircle = pi*r + 2r   aprox perimiter = 3.14*20 + 2*20= 
3.14*20 + 2*20 = 102.8
102.8 approximately 102   answer 102
Answer: E
The average of 10 consecutive integers is 16. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Choices:  A) 10.5  B) 11  C) 11.5  D) 12  E) 12.5

Solution: The total subtracted is (9+8+...+1) = (9*10) / 2= 
(9*10) / 2 = 45
45   On average, each number will be reduced by   45/10= 
  45/10 = 9/2 = around 4.5
4.5   Therefore, the overall average will be reduced by 4.5   The answer is 11.5.
Answer: C
If the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is?  Choose the correct choice from the following options:
A) A)15	B) B)10	C) C)14	D) D)12	E) E)11

Solution: 2 * 22/7 * 14 * x = 1320 => x = 15   15NSWER:15
Answer: A
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C	Choose the correct answer:
A) 3:7:5 B) 6:10:5 C) 6:10:7 D) 6:7:5 E) None of these

Solution: Explanation:   Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment   Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.   A:6:10:5:C =(3x*12):(5x*12):(5x*6)   = 36:60:30   = 6:10:5   Option 6:10:5
Answer: B
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Choose the correct choice from the following options:
A) 12 km  B) 20 km  C) 24 km  D) 4 km  E) None of these

Solution: Explanation:   Distance = Relative Speed * Time   = (2 + 3) * 4= 
(2 + 3) * 4 = 20
20 km   [ They are travelling in the opposite direction, relative speed= sum of the speeds].   ANSWER IS 20 km
Answer: B
A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?	Choose the correct choice from the following options:  A) 81 km/hr  B) 80 km/hr  C) 90 km/hr  D) 99 km/hr  E) 45 km/hr

Solution: speed x and y   x/8.4 = (y-4.5)*5/18...1)   x/8.5=(y-5.4)*5/18----2)   dividing = y-4.5/y-5.4   8.4y-8.4*4.5=8.5y-8.5*5.4   =>y=81   81 km/hrNSWER 81 km/hr
Answer: A
in a scheme, a pack of three soaps with mrp rs45 is available for rs42. if it still gives a profit of 5% to the shopkeeper,then the cost price of the pack is: Choose the correct choice:
A) rs40
B) rs37
C) rs41
D) rs35
E) rs45

Solution: Price of the pack = 42   x*105/100=42 . 105=100(Price of soap pack) + 5(profit)   x=42*100/105=2*100/5= 
2*100/5 = 40
40   rs40NSWER:rs40
Answer: A
A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 11. What could be the ratio of Cats to dogs in the pet store?	Choose the correct option.
A) 1:3
B) 1:4
C) 1:5
D) 44:55
E) 4:6

Solution: Say theratioof cats to dogs is a/b. Then thenumberof cats would be ax and thenumberof dogs bx, for some positive integer x.   We are told that ax - bx = 11 --> x(a - b) = 11. Since 11 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*11.   The above implies that either x = 1 and (a - b) = 11 or x = 11 and (a - b) = 1.   Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 11.   For the original question only option which fits is E, 4:5. Cats = 11*4= 
11*4 = 44
44 and dogs= 11*5= 
11*5 = 55
55.   Answer: 44:55.
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 7 minutes, then the area of the park (in sq. m) is	Choose the correct choice from the following answers
A) 153200	B) 153400	C) 153600	D) 154000	E) 117600

Solution: Perimeter = Distance covered in 7 min. = 12000 x 7 m = 1400 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1400 or x = 140.   Length = 420 m and Breadth = 280 m.   Area = (420 x 280) m2 = 117600 m2.   117600
Answer: E
If 2/z = 2/(z + 1) + 2/(z + 49) which of these integers could be the value of z?
Select the correct option.
A) 0 B) 1 C) 2 D) 5 E) 7

Solution: Solving for z algebraically in this problem would not be easy. Instead, we can follow the hint in the question (“which of these integers…”) and test each answer choice:   A. 2/0 = 2/1 +2/49 INCORRECT (Division by zero)   B. 2/1 = 2/2 +2/50 INCORRECT   C. 2/2 = 2/3 +2/51 INCORRECT   D. 2/3 = 2/4 +2/54 INCORRECT   E. 2/4 = 2/5 +2/56 CORRECT   The correct answer is E, because it contains the only value that makes the equation work. Notice how quickly this strategy worked in this case
Answer: E
A man can row upstream at 4km/hr and down stream at 10km/hr find mans rate in still water ?
Choose the correct choice from the following answers
A) 4km/hr  B) 5km/hr  C) 5.5km/hr  D) 6km/hr  E) 7km/hr

Solution: given upstream(u) =4km/hr   down stream (v)= 10km/hr rate in still water =1/2(u+v)=1/2(4+10)=7km/hr Answer is (7km/hr):7
Answer: E
If (x × 10^q) – (y × 10^r) = 10^r, where q, r, x, and y are positive integers and q > r, then what is the units digit of y?	Choose one.
A) 0	B) 1	C) 5	D) 7	E) 9

Solution: Group the 10^r terms on one side of the equal sign.   (x × 10^q) – (y × 10^r) = 10^r   x × 10^q = (y × 10^r) + (1 × 10^r)   x × 10^q = (y + 1) × 10^r   Now, solve for y.   x∗10 q=(y+1)∗10 rx∗10 q=(y+1)∗10r   x∗10q10r=y+1x∗10q10r=y+1   x∗10 q−r=y+1x∗10 q−r=y+1   x∗10q−r−1=yx∗10 q−r−1=y   Since q > r, the exponent on 10^(q-r) is positive. Since x is a positive integer, x*10^(q-r) is a multiple of 10 and therefore ends 0. Any multiple of 10 minus 1 yields an integer with a units digit of 9.   The correct answer is 9.
Answer: E
The present worth of a certain bill due sometime hence is Rs. 1296 and the true discount is Rs. 72. What is the banker's discount?
Answers: A) Rs. 76 B) Rs. 72 C) Rs. 74 D) Rs. 4 E) None of these

Solution: Explanation :   BG = (TD)2/PW=722/1296 = 72×72/1296 = 12 × 12/36=12/3= Rs. 4   BG = BD – TD   => 4 = BD - 72   => BD = 72 + 4 = Rs. 76 Rs. 76nswer : Option Rs. 76
Answer: A
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:	Answers.
A) 2.87 B) 2.967 C) 3.876 D) 3.912 E) 3.7

Solution: Explanation:   log5 512   =	log 512 /log 5   =	log 29 /log (10/2)   =	9 log 2 /log 10 - log 2   =	(9 x 0.3010) /1 - 0.3010   = 2.709 /0.699   =	2709 /699   = 3.876   ANSWER IS 3.876
Answer: C
If P gets 25% more than Q, then by what percent does Q get less than P?	Pick:
A) 33 1/3% B) 30% C) 20% D) 16 2/3% E) None of these

Solution: Let Q get 1 unit.   25% of 1 unit = 1/4= 
1/4 = 1/4 = around 0.25
0.25   P gets (1 + 0.25) i.e., 1.25 units.   Difference= (1.25 - 1)= 
(1.25 - 1) = 0.25
0.25   Required percentage= 0.25/1.25 * 100 = 1/5 * 100= 
1/5 * 100 = 20
20%   ANSWER:20%
Answer: C
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?	Choose the most appropriate option
A) 29 kmph	B) 28 kmph	C) 54 kmph	D) 37 kmph	E) 27 kmph

Solution: S = 240/16 * 18/5= 
240/16 * 18/5 = 54
54 kmph   Answer: 54 kmph
Answer: C
When 28 is divided by the positive integer q, the remainder is 1. What is the sum of all the possible values of q for which this is true?
Choose the correct choice:
A) 2 B) 3 C) 9 D) 30 E) 39

Solution: The only possible values of the form 28=qp+1 are 3,9 or 27   The sum = 3+9+27= 
3+9+27 = 39
39. E is the correct answer. We dont need to look for values >28 as all these values will leave a remainder of 28 and not 1.
Answer: E
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours?	Choose the correct choice from the following:
A) 10  B) 15  C) 20  D) 25  E) 30

Solution: 45 workers * 8 hours / 30 meters = x * 6 / 30   x = 60 total workers     60 - 45= 
  60 - 45 = 15
15 new workers   The answer is 15.
Answer: B
Beth got a job painting dorm rooms at her
college. At top speed, she could paint 5
identical rooms during one 6-hour shift.
How long did she take to paint each room?	Pick: A) 50 minutes B) 1 hour and 10 minutes C) 1 hour and 12 minutes D) 1 hour and 15 minutes E) 1 hour and 20 minutes

Solution: Six hours equals 360 minutes, so Beth paints 5 rooms in 360 minutes. She paints 1 room   in 360 ÷ 5 = 72 minutes, which equals 1 hour and 12 minutes   correct answer 1 hour and 12 minutes)1 hour and 12 minutes
Answer: C
If 5 + 7/X = 6 - 5/X, then X =
Answers:
A) 7
B) 14
C) 12
D) 6/7
E) 5

Solution: We're given the equation 5 + 7/X = 6 - 5/X. We're asked for the value of X.   The common-denominator of these 4 numbers is X, so we need to multiply both sides of the equation by X, giving us...   5X + 7X/X = 6X - 5X/X   We can then eliminate that denominator, which gives us....   5X + 7 = 6X - 5   12 = X   12
Answer: C
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.86. How much was lent at 5%? Choices.
A) 388 B) 2998 C) 277 D) 500 E) 400

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 86   5x/100 + 90 – 6x/100 = 86   x/100 = 4   => x = 400.Answer: 400
Answer: E
In how many ways can 7 boys and 2 girls be arranged a ta table if 2 girls are never together?	Choose the correct choice from the following answers.
A) 30240 B) 31240 C) 32410 D) 32540 E) 36540

Solution: Total ways of arranging 9 person in a circle = 8! = 40320 ways   If we consider two women as one, then we have   7+1= 
  7+1 = 8
8 persons. 30240rranging these eight persons in circle will take= 7! = 5040 ways   30240nd two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 7!*2! = 10080 ways   Total ways in which two women doesn’t sit together in circle = 8! - 7!*2! = 40320 - 10080= 
40320 - 10080 = 30_240
30240 ways   30240
Answer: A
Look at this series: 7.2, 7, 6.8, 6.6, ... What number should come next? Pick:
A) 6.4  B) 6  C) 5.8  D) 6.3  E) 5.6

Solution: 6.4   6.4   In this simple subtraction series, each number decreases by 0.2.
Answer: A
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:  Choose the correct answer:
A) 4 kmph	B) 5 kmph	C) 6 kmph	D) 7 kmph	E) 8 kmph

Solution: Speed in still water = ½ (11+5) kmph = 8 kmph   answer : 8 kmph
Answer: E
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choose the correct option:
A) 144  B) 152  C) 160  D) 168  E) 65

Solution: The first digit can be filled in 5 ways   For second digit , it can either be 0 or 1   Case 1 -   If second digit is 1 ,Third digit can take 7 values   number of codes = 5 * 1 * 7= 
5 * 1 * 7 = 35
35   Case 2 -   If second digit is 0,Third digit can take 6 values ( Third digit can't be zero)   number of codes= 5 * 1 * 6= 
5 * 1 * 6 = 30
30   Total number of codes= 65   Answer 65
Answer: E
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?  Choose the correct choice:
A) 270
B) 288
C) 276
D) 299
E) 211

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer: 270
Answer: A
Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold thrice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold thrice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Choose the correct choice from the following options.
A) Andy  B) Bob  C) Cary  D) Dora  E) Ellen

Solution: a= 3e   b =3 +e   c = 3b = 9+ 3e (highest of all)   d = b + e = 3+ e +e = 3 + 2e   Ans. Cary
Answer: C
In how many ways Chief Minister and Minister be elected from a team of 14 members?  Choose the correct answer:
A) 182
B) 131
C) 132
D) 143
E) 145

Solution: To do this, if captain is elected first, then we have 14 ways of doing this.   For election of vice-captain, we have only 13 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 14*13= 
14*13 = 182
182 ways.   182nswer : 182
Answer: A
Insert the missing number.
8, 7, 16, 5, 24, 3, 32, 1, 40,-1, (....)	Choose the correct option.
A) 48 B) 40 C) 35 D) -3 E) -4

Solution: Explanation:   There are two series, beginning respectively with 8 and 7. In one 8 is added and in another 2 is subtracted.   The next number is  40 + 8= 
 40 + 8 = 48
48.   48nswer: 48) 48
Answer: A
The sum of 99 consecutive integers is 9999. What is the greatest integer in the set?
Select the correct option: A) 100 B) 120 C) 149 D) 150 E) 151

Solution: sum of n numbers = (n(2a+(n-1)d))/2 where n = no of terms a = 1st term , d - difference between two terms (ie d= a2-a1)   here sum = 9999 , n= 99 d = 1 (since consecutive numbers)   9999= (99/2) * (2a+(99-1)1)   from this 'a' (ie the 1st term) = 52   nth term in a sequence : nth term = a + (n-1) d   here a = 52 , n = 99 , d = 1   So nth term = 52 + (99-1)*1= 
52 + (99-1)*1 = 150
150   ANSWER:150
Answer: D
Roses can be purchased individually for $4.50, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?  Choose the correct choice from the following answers.
A) 156	B) 162	C) 318	D) 324	E) 325

Solution: Buy as many $50 deals as possible. We can by   650/50= 
  650/50 = 13
13 two dozen roses, thus total of 13*24= 
13*24 = 312
312 roses.   We are left with   680 - 650= 
  680 - 650 = 30
$30. We can buy 30/4.5= ~6 roses for that amount.   Total = 312 + 6= 
312 + 6 = 318
318.   Answer: 318.
Answer: C
If a 19-cup mixture of powder and water contained 1 cup of powder. How many cups of powder must be added to get a mixture having powder and water in the ratio of 1:2?  Choose the correct answer
A) 6
B) 8
C) 17
D) 19
E) 24

Solution: Concentration of powder in Mix 1 = 1/19   Concentration of powder in Mix 2 = 1 ( i.e. 100% since it is all powder)   Concentration of powder in final mixture = 1/3   w1/w2 = (1 - 1/3)/(1/3 - 1/19) = 19/8   So for every 19 cups of mix1, you need to put 8 cups of powder to make the required mix with ratio 1:2.   ANSWER:19
Answer: D
Pipe B that can fill a tank in an hour and pipe A that can fill the tank in half an hour are opened simultaneously when the tank is empty. Pipe A is shut 15 minutes before the tank overflows. When will the tank overflow? Pick one:  A) 32 mins  B) 35 mins  C) 40 mins  D) 30 mins  E) 36 mins

Solution: The last 15 minutes only pipe B was open. Since it needs 1 hour to fill the tank, then in 15 minutes it fills 1/4th of the tank, thus 3/4 of the tank is filled with both pipes open.   The combined rate of two pipes is  1 + 2= 
 1 + 2 = 3
3 tanks/hour, therefore to fill 3/4th of the tank they need (time)= (work)/(rate) = (3/4)/3 = 1/4 hours = 15 minutes.   Total time = 15 + 15= 
15 + 15 = 30
30 minutes.   Answer: 30 mins
Answer: D
A vessel of capacity 2 litre has 20% of alcohol and another vessel of capacity 6 litre had 55% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
A) 37%.	B) 71%.	C) 49%.	D) 29%.	E) 51%.

Solution: 20% of 2 litres = 0.4 litres   55% of 6 litres = 3.3 litres   Therefore, total quantity of alcohol is 3.7 litres.   This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 37%   37%.
Answer: A
In a barrel of juice there is 20 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?	Choose the correct choice from the following answers:  A) 3:2.  B) 2:1.  C) 3:1.  D) 4:3.  E) 3:4.

Solution: Juice barrel : beer Barrel = 20:80 i.e. 3:8   price of Juice : Price of Beer = 3 : 4   so for 2/8 costs 3/4, ie 2J / 8B = 3/4.   Solving for J/B, we get 3:1   Answer 3:1..
Answer: C
By selling a bat for Rs.720/- a man loses 10% what is that bat cost price	Options.
A) Rs.600/-  B) Rs.630/-  C) Rs.700/-  D) Rs.780/-  E) Rs.800/-

Solution: 90 % ------> 720 (90 * 8 = 720)   100 % ------>800 (100 * 8 = 800)   Cost price = Rs.800/-   Rs.800/-)
Answer: E
If a/x = 1/2 and a/y =1/ 4, then (x + y) = Choose the most appropriate option
A) A)2a	B) B)a/2	C) C)6a	D) D)7a	E) E)9a

Solution: Ratio 1:   2a = x   Ratio 2:   4a = y   x+y = 6a   Answer is 6a
Answer: C
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 96% water by weight. What is the new weight of the cucumbers, in pounds?
Choose the correct choice from the following options:
A) 2  B) 25  C) 92  D) 96  E) 98

Solution: Out of 100 pounds 99% or 99 pounds is water and 1 pound is non-water. After somewaterevaporates the cucumbers become 96% water and 4% of non-water, so now 1 pound of non-water composes 4% of cucucmbers, which means that the new weight of cucumbers is  1/0.04= 
 1/0.04 = 25
25 pounds.   Answer: 25.
Answer: B
If the annual increase in the population of a town is 10% and the present number of people is 10000, what will the population be in 2 years?	Choose the most appropriate option: A) 12100 B) 15240 C) 12456 D) 11452 E) 10002

Solution: The required population is = 10000 (1 + 10/100)^2   = 10000 * 11/10 * 11/10= 
10000 * 11/10 * 11/10 = 12_100
12100   12100nswer is 12100
Answer: A
In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2? Choose the correct choice from the following answers
A) 20 liters  B) 30 liters  C) 60 liters  D) 38 liters  E) 40 liters

Solution: 2:1 --- 60   1:2   2:4   ---------------   3   3 ----------- 60   3 ----------- ? => 60 liters   Answer: 60 liters
Answer: C
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?  Choose the correct choice from the following options:
A) 20%  B) 10%  C) 60%  D) 70%  E) 30%

Solution: 2420 --- 242   100 --- ? => 10%   Answer: 10%
Answer: B
In a fuel station the service costs $1.50 per car, every liter of fuel costs 0.35$. Assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty. How much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75% bigger?	Pick:
A) $78.80 B) $79.80 C) $78.90 D) $79.90 E) $77.80

Solution: Lots of calculations.   1.50*4 + 3*.35*32+ 2*(7/4)*32 *.35   $78.80nswer=$78.80   The correct option is $78.80
Answer: A