MU-NLPC/Calc-aqua_rat huggingface dataset:
Perimeter of front wheel =30, back wheel = 20. If front wheel revolves 240 times. How many revolutions will the back wheel take?  Select the correct option:  A) 120  B) 180  C) 240  D) 360  E) 480

Solution: sice the distance covered by both the wheels should be same   so   let x be the no. of revolutions by the back wheel   so 240*2*pie*30=x*2*pie*20   so x=360.   ANSWER:360
Answer: D
The sum of the smallest six digit number and the greatest five digit number is  Choices: A) 201110 B) 199999 C) 211110 D) 1099999 E) None

Solution: Solution   Requires sum	=(100000 + 99999)= 
(100000 + 99999) = 199_999
199999.   Answer 199999
Answer: B
if a * b = 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to :
Select the correct option:
A) 22
B) 24
C) 26
D) 28
E) 29

Solution: Solution   3 × 5 + 5 ×3 = (2 ×3 - 3 × 5 + 3 × 5) + 2 (2 × 5 - 3 × 3 +5 × 3)   = (6 + 10 - 9 + 15)= 
(6 + 10 - 9 + 15) = 22
22.   22nswer 22
Answer: A
There is a soccer tournament that is single elimination meaning that after one loss the team is out. There are 15 teams in this tournament. How many games are played?  Pick.
A) 15
B) 7
C) 8
D) 14
E) 10

Solution: D   The number of games always adds up to one less than the number of teams in a single elimination tournament. You may calculate it any way. Therefore, 14 games were played.
Answer: D
The sum of the present ages of a father and his son is 60 years. five years ago, father's age was four times the age of the son. so now the son's age will be:  Select.
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Explanation:   Let the present ages of son and father be x and (60 -x) years respectively.   Then, (60 - x) - 5= 4(x - 5)   55 - x = 4x - 20   5x = 75 x = 15. Answer: 15
Answer: C
In how many seconds will a train 100 meters long pass an oak tree, if the speed of the train is 36 km/hr?  Answers.
A) 6  B) 8  C) 10  D) 12  E) 14

Solution: speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/s   time= 100/10= 
100/10 = 10
10 seconds   The answer is 10.
Answer: C
What positive number, when squared, is equal to the cube of the positive square root of 15?
Choose the correct option:	A) 64	B) 32	C) 8	D) 6	E) 2

Solution: Let the positive number be x   x^2 = ((15)^(1/2))^3   =>x^2 = 4^3 = 36   => x = 6   Answer 6
Answer: D
Find the amount on Rs.8000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices.
A) 5568
B) 6369
C) 8736
D) 5635
E) 6734

Solution: 8000 * 104/100 * 105/100= 
8000 * 104/100 * 105/100 = 8_736
> 8736   Answer:8736
Answer: C
If 16 toys cost 240, then what do 40 toys cost ?  Choose the correct choice from the following options:
A) Rs. 600	B) Rs. 620	C) Rs. 640	D) Rs. 660	E) None of these

Solution: Explanation:   Although we can first calculate the cost of one toy and then can multiply it with 40 to get the result.   but we will solve it with chain rule so that we can prepare ourself for other complex problems which we can solve easily by applying this rule.   Let the required cost be Rs. x   More toys means More Cost. (Direct Proportion)   15:40::240:x=>x=240∗40/15=>x=640   So 40 toys will cost Rs 640   Option Rs. 640
Answer: C
Of the three numbers, the sum of the first two is 45; the sum of the second and the third is 55 and the sum of the third and thrice the first is 90. The third number is	Options:
A) 15 B) 20 C) 25 D) 30 E) 35

Solution: Sol.   Let the numbers be x,y and z.   Then, x + y = 45   y+z = 55 and   3x+z = 90   ⇒ y = 45 - x, z = 55 - y = 55 - (45 - x) = 10 + x.   ∴ 3x + 10 + x = 90 or x = 20.   y = (45 - 20)= 
(45 - 20) = 25
25 and z= (10 + 20)= 
(10 + 20) = 30
30.   ∴ Third number= 30.   Answer 30
Answer: D
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?  Pick one.
A) 35 hours	B) 25 hours	C) 20 hours	D) Cannot be determined	E) None of these

Solution: Suppose the efficiencies of pipes C, B and A are 4K, 2K and K.   Since, the tank is filled in 5 hours by the three pipes having combined efficiency equal to 7K, the time required to fill the tank by 35 hours alone = 7K×5 /K=35hours   35 hoursnswer 35 hours
Answer: A
If X = 2 + 1/(1+1/(1-1/2))then the value of 4x+7/3?
Pick one.
A) 9 2/3  B) 10 1/3  C) 11  D) 11 2/3  E) 12

Solution: X = 2 + 1/(1+1/(1-1/2))   = 2 + 1/(1+2)   = 2 + 1/3   X = 7/3 ==> 4X + 7/3 => 4(7/3) + 7/3   ==> 28/3 + 7/3   ==> 35/3   ==> 11 2/3.   11 2/3)
Answer: D
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many Q kilometers per hour did Tammy walk on the second day?	Choose the correct choice.
A) 3 B) 3.5 C) 4 D) 4.5 E) 6

Solution: Ans: C   Total time = 14 hrs   Let time traveled during 1st day = x   Let time traveled during 2nd day = x-2   Total time =14   x+x-2 = 14   x=8   speed * time = distance   s*8 + (s+0.5)(8-2) = 52   solving s = 4.5   now speed for 2nd day is 0.5 less than the 1st day which is 4.5   Thus speed for 2nd day = 4   Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.   8s+6s+3=52   14s=49   s=3.5
Answer: C
500 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?	Pick
A) 162
B) 138
C) 60
D) 10
E) 12

Solution: Passed in english = 65%   Passed in maths = 55%   Passed in both = 40% of 55% = 2/5 * (55%) = 22%   Passed in (English + Maths - Both + Neither) 2/5 * (55 )= 
2/5 * (55 ) = 22
22%   Passed in (English + Maths - Both + Neither)= 100%   65 + 55 - 22 + Neither = 100   Neither = 100 - 98= 
100 - 98 = 2
2%= 0.02 * 500= 
0.02 * 500 = 10
10   Answer: 10
Answer: D
How many multiples of 4 are less than 3200, and also multiples of 16?  Pick: A) 104 B) 200 C) 625 D) 832 E) 833

Solution: The LCM of 4 and 16 is 16. Divide   3200/16= 
  3200/16 = 200
200.xxx. So 200 is your answer.
Answer: B
A man has a pool. This full pool can be drained using four different drainage, if he uses A it takes 10 hours to drain pool, if he uses B it takes 50 hour to drain and if he uses C it takes 5 hours to drain the pool. He first runs the water by A for 5 hours, then turning that off, he continues with B for 10 hours. Then turning that off as well he uses C for 1 hours and lastly using D for 1 hour the pool is empty. How long does it take to empty the pool only using the drainage D?  Choose the correct choice from the following answers
A) 2 hours  B) 4 hours  C) 6 hours  D) 8 hours  E) 10 hours

Solution: 1 - (5/10 +10/50 +2/5 + 1/x) = 0 x = 10 hours ANSW10 hoursR = 10 hours
Answer: E
At Children's General Hospital, 10 out of every 13 babies are crying. If 1 out of every 4 crying babies are hungry, and there are 50 hungry babies crying, how many babies total are there in the hospital?
Options
A) 140	B) 240	C) 50	D) 130	E) 150

Solution: Proportions: Let B = babies, and Bc = babies crying, and Bch = hungry babies crying.   50Bch/xBc = 1Bch/4Bc   xBc = 100Bc   100Bc/yB = 10Bc/13B   yB = 130B   Answer: 130
Answer: D
7 people average age is 30. youngest person age is 6. find average of the people when youngest was born. Pick.
A) 23  B) 24  C) 25  D) 26  E) 27

Solution: average age of people =30   so have total age =210   before 7 years we have to deduct each person age by seven years 210-42=161   so average age would be 161/7=24   ANSWER:24
Answer: B
Rs.1010/- distributed among A,B and C such that on decreasing their shares by RS.25,RS.10 and RS.15 respectively, The balance money would be divided among them in the ratio 3:2:5. Then, A’s share is:?  Choices:
A) Rs.255/-
B) Rs.313/-
C) Rs.365/-
D) Rs.355/-
E) Rs.345/-

Solution: A:Rs.313/-:C = 3:2:5   Total parts = 10   A's share is = 3 parts   10 -----> Rs.960/-   3 -----> Rs.288/-   A's total =288 + 25 = Rs.313/-   Rs.313/-)
Answer: B
In 50 l can, milk and water in the ratio of 3:1. if the ratio has made 1:3 then the quantity of water that has to be added further is?
Choose the correct choice from the following answers:
A) 100
B) 120
C) 90
D) 80
E) 70

Solution: 100 litre water is to be added.   let 'x' liter water is to be added more.   Then 1/3 = 37.5 /(12.5 + x)   x= 100   100NSWER:100
Answer: A
A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.0 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 40 worth of diesel fuel?  Answers:
A) 20 seconds	B) 1 minute	C) 1 minute 40 seconds	D) 20 minutes	E) 1 hour 20 minutes

Solution: 2 gal / 5 sec   $1.25 / gal   $40/$1.25 = 40 gal   2 gal / 5 sec with 40 gal = 100 sec   C. 1 minute 40 seconds
Answer: C
The avg age of class of 20 students in 20 years. If the lecturer’s age is added to the avg, increases by one. What is the age of the lecturer?  Select:
A) 37
B) 38
C) 47
D) 51
E) 41

Solution: 41   41   Average x Number = Total Years   20 x 20 = 400 …(1)   21 x 21 = 441 …(2)   Lecturer’s age =41qn (2) -41qn (1)   = 441 – 400   = 41 years.
Answer: E
Mane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums? Choose the correct choice from the following answers: A) 30 B) 36 C) 70 D) 80 E) 150

Solution: Method I: the rates solution   “Mane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Mane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Mane + Zane is   R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12   That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:   T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12= 
3*12 = 36
36   BTW, notice in the penultimate step, the universal fraction strategy: cancelbeforeyou multiply (Tip #3:http://magoosh.com/gmat/2012/can-i-use- ... -the-gmat/. Mane and Zane need 36 weeks to make 15 drums.   Answer= 36.
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Select the correct option:
A) 328 B) 279 C) 240 D) 288 E) 231

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m. Answer:240
Answer: C
A cylindrical can has a radius of 6 centimeters and a height of 12 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping? Select:
A) 16 pi
B) 64 pi
C) 96 pi
D) 144 pi
E) 576 pi

Solution: They are asking the lateral surface area of the cylinder.   the Lateral surface area = 2* pi * r *h   = 2*pi*6*12=144 pi   Answer is 144 pi.
Answer: D
Find the product of the localvalue and absolutevalue of 4 in 20468? Select:
A) 1000
B) 1100
C) 1200
D) 1300
E) 1600

Solution: Local value of 4 = 4 x 100 = 400   Place value of 4 = 4   There fore = 4 x 400 = 1600   1600
Answer: E
Set A contains three different positive odd integers and three different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Options: A) 3/5 B) 2/5 C) 1/2 D) 4/5 E) 19/25

Solution: There can be an odd product only if both integers are odd.   P(odd product) = 1/2*2/5 = 1/5   P(even product) = 1 - 1/5 = 4/5   The answer is 4/5.
Answer: D
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 9 p.m. from Delhi. When will they meet?	Choose the correct choice from the following options
A) 40.00 a.m.	B) 10.00 a.m.	C) 12.00 a.m.	D) 11.00 a.m.	E) 19.00 a.m.

Solution: Explanation:   D = 110 â€“ 20 = 90   RS = 20 + 25= 
20 + 25 = 45
45   T= 90/45= 
90/45 = 2
2 hours   9 a.m. + 2= 11 a.m.   Answer: Option 11.00 a.m.
Answer: D
If p/q =4/5, then the value of 25/7 + {(2q - p) / (2q + p)} is ?	Select
A) 4 B) 34 C) 1 D) 2 E) 3

Solution: Answer   Given Exp. = 25/ 7 + {(2q - p) / (2q + p)}   Dividing numerator as well as denominator by q,   Exp = 25/7 + {2-p/q) / (2 + p/q)}   = 25/7 + {(2 - 4/5) / (2 + 4/5)}   = 25/7 + 6/14   = 25/7 + 3/7   =28/7= 
28/7 = 4
4   Correct Option: 4
Answer: A
In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph?	Answers:
A) 4.5 sec	B) 4.8 sec	C) 4.2 sec	D) 5.0 sec	E) 5.2 sec

Solution: D = 100m + 100m = 200m * 1/1000 100  + 100= 
100  + 100 = 200
200m * 1/1000 = 0.2 kms   RS 200  * 1/1000= 
200  * 1/1000 = 1/5 = around 0.2
0.2 kms   RS= 80 + 80= 
80 + 80 = 160
160 kmph   T= (0.2/160) * 3600= 
(0.2/160) * 3600 = 4.5
4.5 sec   4.5 secNSWER:4.5 sec
Answer: A
14, 35, 49, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence? Pick one.
A) 560  B) 259  C) 562  D) 686  E) 847

Solution: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7   clearly the answer is 562 because if we divide 562 by 7 we get a remainder of 80.28   562orrect answer - 562
Answer: C
The product of all the prime numbers less than 12 is closest to which of the following powers of 10?	Choices
A) a) 10^9  B) b) 10^8  C) c) 10^7  D) d) 10^3*2.31  E) e) 10^5

Solution: Group these numbers so as to get product close to a multiple of 10, so they can be rewritten as (2*5)(3*7)(11)= 10*21*11   Now take out power of 10 from each number and rewrite   10*10*10(1*2.1*1.1) or 10^3*(1*2.1*1.1) =2.31*10^3   d) 10^3*2.31
Answer: D
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?  Choose the correct choice from the following answers
A) 1/5
B) 3/7
C) 2/5
D) 3/5
E) 2/7

Solution: Let E and F denote respectively the events that first and second ball drawn   are black. We have to find P(E n F) or P (EF).   Now P(E) = P (black ball in first draw) = 10/15   Also given that the first ball drawn is black, i.e., event E has occurred, now there are 9 black balls and five white balls left in the urn. Therefore, the probability that the second ball drawn is black, given that the ball in the first draw is black, is nothing but the conditional probability of F given that E has occurred.   That is P(F|E) = 9/14   3/7y multiplication rule of probability, we have   P (E n F) = P(E) P(F|E)   = 10/15 × 9/14 = 3/7   3/7
Answer: B
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? Choose the correct choice from the following: A) Rs.15009 B) Rs.15029 C) Rs.15072 D) Rs.15000 E) Rs.15021

Solution: The ratio of their profits A:B = 8:12 = 2:3   Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit   = 3/5 * 25000   = Rs.15000   Answer: Rs.15000:
Answer: D
Three positive integers a, b, and c are such that their average is 18 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c? Select:
A) 21  B) 23  C) 25  D) 27  E) 29

Solution: Solution:   We know that the average value is 18 therefore (a+b+c)/3 = 18   so a+b+c = 54   and b = a + 11   therefore a + (a + 11) + c = 54   The least value of c is when c = b   so take c = a + 11   hence, a + (a + 11) + (a + 11) = 54   i.e., a = 32/3 a non integer therefore c is not equal to b   so take c = b+1 therefore c = a+12   a + (a + 11) + (a + 12) = 54   i.e., a= 31/3 again a non integer therefore c is not equal to b+1   next take c= b+2 therefore c = a+13   a + (a + 11) + (a + 13) = 54   i.e., a=30/3= 
30/3 = 10
10   hence, a= 10, b = 21, and c = 23   Answer: 23
Answer: B
At a summer camp with 1,200 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,200 campers will the 8- to 12-year-olds represent?  Choices
A) 66 2/3%  B) 60%  C) 50%  D) 45%  E) 40%

Solution: Total - 1,200 participants   campers are aged 8 to 12 = (1/2)*1200= 
(1/2)*1200 = 600
600   Next year, campers are aged 8 to 12= (4/3)*600= 
(4/3)*600 = 800
800   Percentage= (800/1200)*100 = 66 2/3%   66 2/3%nswer: Option 66 2/3%
Answer: A
Niall's income is 60% less than Rex's income, and Sam's income is 25% less than Niall's income. If Rex gave 60% of his income to Sam and 40% of his income to Niall, Niall's new income would be what fraction of Sam's new income? Choose the correct option:
A) 8/9
B) 11/12
C) 8/13
D) 11/13
E) 12/13

Solution: We can take some easy numbers and make calculations simpler.   Let R ( Rex's income) = 100   Q (Niall's income) = 40%R = 40   S (Sam's income) = 75% Q = (3/4)*40= 
(3/4)*40 = 30
30   Now, if Rex gives 40% to Niall --> Q= 40 + 40= 
40 + 40 = 80
80   60% given to Sam --> S= 30+60= 
30+60 = 90
90   The ratio is : Q/S= 80/90 = 8/9= 8/9
Answer: A
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 160 m long?
Pick:
A) 41.6 sec
B) 11 sec
C) 88 sec
D) 19 sec
E) 10 sec

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 160= 
360 + 160 = 520
520 m   Required time= 520 * 2/25= 
520 * 2/25 = 208/5 = around 41.6
41.6 sec   41.6 secnswer: 41.6 sec
Answer: A
How many kgs of flour worth 25 per kg must be blended with 30 kgs of flour worth ` 30 per kg so that by selling the blended variety at X 30 per kg there should be a gain of 10%?	Pick
A) 32 kg	B) 40 kg	C) 36 kg	D) 42 kg	E) None of these

Solution: (x * 25) + (30 * 30) / (x + 30)   = 11/10 * 30(x + 30)   On solving the equation, x = 36.   Answer:36 kg
Answer: C
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?  Select.
A) 288
B) 280
C) 268
D) 256
E) 876

Solution: x*(85/100)   = (480 - x)119/100   x = 280   Answer:280
Answer: B
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. How many workers are there in the workshop?  Choose the correct choice from the following options:  A) 21  B) 22  C) 23  D) 24  E) 25

Solution: Explanation:   Let the number of workers = x   Given that average salary of all the workers = Rs.8000   Then, total salary of all workers = 8000x   Given that average salary of 7 technicians is Rs.12000   => Total salary of 7 technicians = 7 × 12000 = 84000   Count of the rest of the employees = (x - 7)   21verage salary of the rest of the employees = Rs.6000   Total salary of the rest of the employees = (x - 7)(6000)   8000x = 84000 + (x - 7)(6000)   => 8x = 84 + (x - 7)(6)   => 8x = 84 + 6x - 42   => 2x = 42   => x = 42/2= 
42/2 = 21
21   21nswer: Option 21
Answer: A
I had about Rs.14.40 in one rupee coins and 20 paise coins when I went out for shopping.
When I returned, I found that number of 20 paise coins and 1 rupee coins are exactly as 1
rupee and 20 paise coins respectively, that I had originally. I came back with one third of
what I had started out with. How many one rupee coins did I have initially? Choose the correct choice from the following choices:  A) 10  B) 12  C) 14  D) 16  E) 18

Solution: Let x be number of 1 rupee coins and y be number of 20 paise coins initially.   Initially : 1x + .2y =14.40   Finally : 1y + .2x = 4.80 (as number of coins interchange)   Solving we get, x=14 and y=2   Therefore there was 14 one rupee coins and 2 20 paise coins initially.   ANSWER:14
Answer: C
If f and p are two positive integers and f/p = 1.35, then f can equal which one of the following?
Choose one:
A) 21	B) 28	C) 20	D) 27	E) 23

Solution: f/p = 1.35 = 135/100 = 27/20   So, p COUL27 equal 27   Answer: 27
Answer: D
During the first two weeks of March, the total rainfall in Springdale was 25 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of March?
Choose one:
A) 10
B) 12
C) 15
D) 16
E) 18

Solution: Let x be the rainfall in the first week. Then 1.5x was the rainfall in the second week.   2.5x = 25   x = 10   The rainfall during the second week was  1.5 * 10= 
 1.5 * 10 = 15
15 inches   The answer is 15.
Answer: C
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 30 pages. Select
A) 8 B) 10 C) 12 D) 14 E) 16

Solution: subhas 's 1 hr copy page=50/10= 
50/10 = 5
5 page   (subhas+prakash)'s 1 hr copy page=300/40= 
300/40 = 15/2 = around 7.5
7.5 page   from above prakash's 1 hr copy page= 2.5 page   so time taken in 30 page's copy =(30/2.5)= 
(30/2.5) = 12
12 hrs   ANSWER:12
Answer: C
One fourth of a solution that was 12% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?  Pick one
A) 28%
B) 34%
C) 22%
D) 18%
E) 8.5%

Solution: consider total solution to be 100 liters and in this case you'll have: 75*0.12+25*x=100*0.16 --> x=0.28.   28%nswer: 28%.
Answer: A
Daniel went to a shop and bought things worth Rs. 25, out of which 60 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice:
A) A)14.4
B) B)20
C) C)21.3
D) D)21.5
E) E)22

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 60 Paise = Rs.60/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−60/100−x)6/100 = 60/100   ⇒ 6(25 −0.6 −x) = 60   ⇒ (25 − 0.6 − x) = 10   ⇒ x = 25 − 0.6 − 10 = 14.4   14.4
Answer: A
how many such letters pairs are in word MONKEY having same no. of letters left between them in the word as they have in the series
Options:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: one pair is observed that is (ON) as there is no alphabet in between them and in series also threre is no letter in between them.   1NSWER:1
Answer: A
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?  Options.
A) 42 seconds	B) 47 seconds	C) 40 seconds	D) 49 seconds	E) 45 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer:40 seconds
Answer: C
How many multiples of 8 are less than 4500, and also multiples of 12?  Pick:
A) 104.6
B) 187.5
C) 625.6
D) 450.5
E) 467.4

Solution: LCM of 8 & 12 = 24   Tried dividing 4500 by 24   Got quotient 187.5 'So 187.5 is answer
Answer: B
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 20% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 10%. If Ron imported a $20,000 imported car and ended up paying $2500 in taxes, what is the first tier's price level?  Choose the correct option
A) $6000
B) $5500
C) $5000
D) $5700
E) $5800

Solution: Let T be the tier price, P be total price = 20000   Per the given conditions:   0.20T + 0.10(P-T) = 2500   0.20T+0.10*20000-0.10T =2500   0.10T +2000 =2500   0.10T = 2500-2000= 
2500-2000 = 500
500   T= 500/0.10= 
500/0.10 = 5_000
5000   Answer $5000
Answer: C