MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm.	Choose the correct choice from the following answers: A) 700cm2 B) 600cm2 C) 500cm2 D) 400cm2 E) 100cm2

Solution: Explanation: Let other diagonal = 2x cm.   Since diagonals of a rhombus bisect each other at right angles, we have:   (20)2 = (12)2 + (x)2 =>x =√(20)2 – (12)2= √256= 16 cm. _I   So, other diagonal = 32 cm.   Area of rhombus = (1/2) x (Product of diagonals) =(1/2× 25 x 32) cm2 = 400 cm2   Answer: Option 400cm2
Answer: D
Find the number of square tiles to cover the floor of a room measuring 6 m * 10 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
Choose the correct choice from the following options.
A) 100  B) 180  C) 277  D) 18  E) 150

Solution: 5*9= 1/2 * 1/2 * x => x =180   Answer: 180
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 195 barrels of oil?  Select the correct option:
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 165 barrels they will take a bit less than 195 mins which will be more than 3 hrs but less than 4 hrs.   Answer (4)
Answer: C
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?  Choose the correct choice from the following answers:  A) 5  B) 7  C) 9  D) 10  E) 14

Solution: Solution: The number should be multiple of 5. So, the last digit is 5 or 0. But 0 cant be a factor. So, Last digit is 5. The sum of all digits should be a multiple of 9. Now the sum is 22. So, 4th digit should be 5. Therefore, required sum = 10   Option 10
Answer: D
A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent Q of the list price is the lowest possible sale price?  Choose the correct answer.
A) 20  B) 25  C) 30  D) 40  E) 50

Solution: Let the list price be 2x   for min sale price, the first discount given should be 50%, 2x becomes x here   now, during summer sale additional 20% off is given ie sale price becomes 0.8x   it is given lise price is $80   => 2x = 80   => x = 40   and 0.8x = 32   so lowest sale price is 32, which is Q =40% of 80   hence, 40 is the answer
Answer: D
All votes cast in a recent presidential election were for either the incumbent or the challenger. The challenger received 5.4 million votes and the incumbent received 5 million. If after a recount of the votes and the addition of previously uncounted absentee ballots, the incumbent had 5.2 million votes while the challenger had 5.4million, then the percentage of the total number of votes that were for the challenger
Choose the correct option:
A) decreased by approximately 10 % B) decreased approximately 1% C) neither increased nor decreased D) increased approximately 1% E) increased approximately 2%

Solution: I estimated the Challenger's share by 5.4/10.4*100. Here by approximation it would come to around 51%.   After the recalculation, Challenger's share 5.4/10.6*100. Here by approximation it would come to around 52%.   The numerator is the same but the denominator has changed so it will be decrease for sure. so C,D,E are ruled out.   out of A and B, in B 10% is too large.   decreased by approximately 10 % is most suitable as 1% is nearest to the actual answer.
Answer: A
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 7967 for a computer table, then what was the cost price of the computer table?
Choose the correct option: A) 7297 B) 6425 C) 2871 D) 6725 E) 2981

Solution: Explanation:   CP = SP * (100/(100 + profit%))   = 7967(100/124) = Rs. 6425.   Answer: 6425
Answer: B
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $8 and the other one, that is cheaper, costs $3. The factory holds a $100 worth stock of 25 modules. How many of the modules in the stock are of the cheaper kind?	Select the correct option.
A) 21
B) 20
C) 22
D) 23
E) 24

Solution: So the number of $3 modules must be 20 so that the leftover 5 modules are of $8 which will give a total value $100. 20*3+5*8 = 60+40= 
60+40 = 100
100.   Answer : 20
Answer: B
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was? Choose the correct choice from the following choices:	A) 23777	B) 37500	C) 29977	D) 26777	E) 19871

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,   (x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 39/4 * 1/100)   (9x + 1100000 - 11x)/100 = 39000/4= 
39000/4 = 9_750
9750   x= 62500   Sum invested at 9% = Rs. 62500   Sum invested at 11% = Rs. (100000 - 62500) = Rs. 37500.   Answer: 37500
Answer: B
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
9 * 11 * 13 =?	Answers.
A) 89 B) 152 C) 68 D) 38 E) 55

Solution: 152   152   (13 * 11) + 9= 
(13 * 11) + 9 = 152
152
Answer: B
What percent is 150 of 90?	Select:
A) 133 1/3%
B) 163 2/3%
C) 166 2/3%
D) 166 3/3%
E) None of these

Solution: Explanation:   150/90 = 5/3   5/3 * 100 = 500/3 = 166 2/3%   Answer: Option 166 2/3%
Answer: C
Sarah is driving to the airport. After driving at 15 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 60 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all? Choose the correct choice from the following choices:
A) 45  B) 175  C) 210  D) 245  E) 280

Solution: After driving at 15 miles per hourfor one hour, this distance left to cover is d-15. Say this distance is x miles.   Now, we know that the difference in time between covering this distance at 15 miles per hour and 60 miles per hour is 1+ 1/2 = 3/2 hours.   So, we have that x/15 - x/60 = 3/2 --> 4x/60 - x/60 = 3/2 --> 3x/60 = 3/2 --> x = 30.   Total distance = x + 15 = 45 miles.   45nswer: 45
Answer: A
Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 30 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?  Choose the correct choice from the following:
A) 3  B) 5  C) 6  D) 16  E) 24

Solution: The total work is 5*30= 
5*30 = 150
150 machine hours   The time required for six machines is  150/6= 
 150/6 = 25
25 hours, thus 5 fewer hours.   The answer is 5.
Answer: B
If x ≠ 0 and (y^2 + xy)/x=y+x, which of the following expressions is equal to its opposite?
Select the correct option
A) x^2
B) x^2 + y^2
C) x^2 - y^2
D) (y + x)^2
E) (x – y)^2

Solution: (y^2 + xy)/x=y+x   => y^2 + xy = xy +x^2   => x^2 - y^2 +  2= 
+  2 = 2
> x^2 - y^2= 0   Answer x^2 - y^2
Answer: C
Convert 800 miles into meters?
Choose the most appropriate option:  A) 1287472  B) 845796  C) 804670  D) 784596  E) 864520

Solution: 1 mile = 1609.34 meters   800mile = 800*1609.34= 
800*1609.34 = 1_287_472
1287472 meters   1287472nswer is 1287472
Answer: A
Out of three consecutive odd numbers eight times the first number is equal to addition of thrice the third number and adding 5 to twice the second . What is the first number?  Options:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Description :   => 8x=2(x+2)+5+3(x+4)   => 3x=21,x=7   => x+4=11   X=11-4= 
11-4 = 7
7   Answer 7
Answer: C
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 70, how many coins of each type are there? Choose the correct choice from the following:
A) 20 coins  B) 30 coins  C) 40 coins  D) 25 coins  E) None of these

Solution: Let number of each type of coin = x. Then,   1 × x + .50 × x + .25x = 70   ⇒ 1.75x = 70 ⇒ x = 40 coins   Answer 40 coins
Answer: C
Y = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set Y and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?  Answers
A) 0.15
B) 0.20
C) 0.25
D) 0.30
E) 0.33

Solution: The total number of pairs Y,B possible is   4*5= 
  4*5 = 20
20. Out of these 20 pairs only 4 sum up to 9: (2, 7); (3, 6), (4, 5) and (5, 4). The probability thus is 4/20=0.2.   Answer: 0.20.
Answer: B
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/4 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?	Select:	A) 3/19	B) 3/12	C) 3/11	D) 3/10	E) 4/13

Solution: Let Veena paid x,   so Akshitha paid x/4 , and Lasya paid 2x,   So total bill paid is given by   x+(x/4) +2x = 1, we get   i.e. x = 4/13   Answer: 4/13
Answer: E
Of the 200 stamps in a collection, 90 are foreign and 70 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old? Choose the correct choice from the following choices:
A) 60
B) 80
C) 100
D) 130
E) 150

Solution: 20 stamps are both foreign and more than 10 years old.   70 stamps are foreign only.   50 stamps are 10 years old only.   The number of remaining stamps is  200 - (20+70+50)= 
 200 - (20+70+50) = 60
60   The answer is 60.
Answer: A
The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?	Choose the most appropriate option:	A) 8	B) 9	C) 10	D) 11	E) 12

Solution: Let the present age of the man and his wife be 4x and 3x respectively.   After 4 years this ratio will become 9:7   ⇒(4x+4):(3x+4)=9:7⇒7(4x+4)=9(3x+4)⇒28x+28=27x+36⇒x=8   Present age of the man =4x=4×8=32   Present age of his wife =3x=3×8=24   Assume that they got married before t years. Then,   (32−t):(24−t)=5:3⇒3(32−t)=5(24−t)⇒96−3t=120−5t⇒2t=24⇒t=242=12   Answer is 12.
Answer: E
If a = -0.2, which of the following is true?
Choose the correct option
A) a < a^2 < a^3  B) a^2 < a^3 < a  C) a < a^3 < a^2  D) a^2 < a < a^3  E) a^3 < a < a^2

Solution: a=-0.2;   a^2=0.04;   a^3=-0.008;   Answer : a < a^3 < a^2
Answer: C
total race distance 2100
A flight beat B flight by 420 when wind is in the race direction,it beats B by 300 when opposite.find the still fight speeds	Choose the correct answer:
A) 300	B) 360	C) 400	D) 450	E) 480

Solution: (420+300)/2= 
(420+300)/2 = 360
360   ANSWER:360
Answer: B
Jodi is given the perimeter of a rectangle. She also knows
that the length is twice as many meters as the width. Using the formula for finding the perimeter
of a rectangle, find the dimensions of the rectangle  Choose the correct choice from the following options.
A) 31 meters wide and 62 meters long.	B) 21 meters wide and 42 meters long.	C) 41 meters wide and 82 meters long.	D) 11 meters wide and 22 meters long.	E) 51 meters wide and 102 meters long.

Solution: The formula for finding the perimeter of a rectangle is P 2l 2w, where l length and   w width   In this case, let x represent the width and 2x the length.   Now substitute the information you have into the formula and solve.   P 2l 2w   126 2(2x) 2(x)   126 4x 2x   126 6x   21 x   Answer: The rectangular garden is 21 meters wide and 42 meters long.   Check: Make sure the dimensions meet the condition of the problem. Substitute the dimensions   into the perimeter formula: P 2(21) 2(42) 42 84 126 meters. The answer is correct.   correct answer 21 meters wide and 42 meters long.
Answer: B
Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in six hours, what fraction of the room can Joseph paint in 20 minutes?
Select the correct option:
A) 1/6x	B) x/(x-3)	C) (x-6)/18x	D) x/(x-6)	E) (x-6)/x

Solution: Let J be Joseph's rate per hour.   1/x + J = 1/6 of a room per hour   J = 1/6 - 1/x, of a room per hour   In 20 minutes, Joseph can paint 1/3*(1/6-1/x) = 1/18-1/3x = (x-6)/18x   The answer is (x-6)/18x.
Answer: C
The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 330 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school? Choose the correct choice from the following:
A) 48 B) 66 C) 72 D) 80 E) 84

Solution: Let x be the number of new boarders.   The ratio changed from 5:12 up to 1:2 = 6:12.   330 / (330+x) = 5/6   x = 66   The answer is 66.
Answer: B
A pool can be filled in 4 hours and drained in 5 hours. The valve that fills the pool was opened at 9:00 am and some time later the drain that empties the pool was also opened. If the pool was filled by 6:00 pm and not earlier, when was the drain opened?
Options:	A) 10:45 am	B) 11:45 am	C) 12:45 pm	D) 1:45 pm	E) 2:45 pm

Solution: The filling rate is 1/4 and the draining rate is 1/5.   The combined rate of filling and draining is 1/4 - 1/5 = 1/20.   Let x be the number of hours before the drain was opened.   x/4 + (9-x)/20 = 1   5x + 9 - x = 20   4x = 11   x = 2.75   The answer is 11:45 am.   The answer is 11:45 am.
Answer: B
If the wheel is 28 cm then the number of revolutions to cover a distance of 1056 cm is?  Pick one:
A) 3  B) 5  C) 26  D) 12  E) 6

Solution: 2 * 22/7 * 28 * x = 1056   => x = 6   Answer: 6
Answer: E
AB + CD = SSS, where AB and CD are two-digit numbers and SSS is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?  Choose the correct choice.
A) 1
B) 3
C) 7
D) 9
E) Cannot be determined

Solution: AB and CD are two digit integers, their sum can give us only one three digit integer of a kind of SSS it's 111.   So, A=1. 1B+C9=111   Now, C can not be less than 9, because no to digit integer with first digit 1 (mean that it's<20) can be added to two digit integer less than 90 to have the sum 111 (if C9<90 meaning C<9 C9+1B<111) --> C=9   Answer: 9.
Answer: D
Raja spends 60% of his monthly income on household items, 10% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 5000. Find his monthly income.  Choose the correct choice from the following answers
A) Rs. 40000 B) Rs. 36000 C) Rs. 50000 D) Rs. 25000 E) None of these

Solution: Savings 20% - 5000   Expenditure 80% - 20000   Total - 25000   Answer : Rs. 25000
Answer: D
51 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?  Pick one.
A) 10  B) 13  C) 14  D) 15  E) 17

Solution: According to the chain rule,   M1 x T1 = M2 x T2   Therefore, 51 x 12 x 5 = 30 x 6 x X   X = 17   Hence, the number of days = 17.   ANSW17R:17
Answer: E
A right triangle has sides of a, b, and 13, respectively, where a and b are both integers. What is the value of (a + b)? Choose the correct option
A) 160
B) 169
C) 162
D) 164
E) 166

Solution: LET a= hypotenuse , b =base ,13 = perpendicular . therefore a^2 -b^2 =1^2 or (a+b)(a-b) = 169   a+b =169/a-b ' a-b cannot be zero ..therefore a+ b =144 where a-b is equal to 1   169
Answer: B
If 5/(a - 5) = -7/(a + 7), then a = ?  Pick one.
A) -31/6
B) -35/6
C) -33/6
D) -29/6
E) -37/6

Solution: Multiply all terms of the given equation by (a - 5)(a + 7), simplify and solve   (a - 5)(a + 7)[ 5/(a - 5) ] = (a - 5)(a + 7) [ -7/(a + 7) ]   5 (a + 7) = -7 (a - 5)   a = -35/6   correct answer -35/6
Answer: B
You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 3 baseball cards. How many baseball cards do you have at the end?	Answers:	A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Solution   Start with 16 baseball cards.   John takes 3 baseball cards from you:   16 - 3= 
  16 - 3 = 13
13 baseball cards.   So you have 13 at the end.   13orrect answer : 13
Answer: C
Convert 60miles into yards?  Answers
A) 105600 yards	B) 35200 yards	C) 39520 yards	D) 42560 yards	E) 41520 yards

Solution: 1 mile = 1760 yards   60 miles = 60*1760= 
60*1760 = 105_600
105600 yards   105600 yardsnswer is 105600 yards
Answer: A
If 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it?
Pick
A) 2/25	B) 11/30	C) 3/60	D) 5/42	E) 7/12

Solution: Explanation:   2 men reap 1/10 field in 1 day   1 man reap 1/(2 x 10)   3 women reap 1/10 field in 1 day   1 woman reap 1/(10 x 3)   4 men and 5 women reap 4/(2 x 10)+ 5/(3 x 10)) =11/30 in 1 day   4 men and 5 women will reap the field in 11/30 days   Answer: Option 11/30
Answer: B
Find the length of the wire required to go 14 times round a square field containing 5625 m2.	Choose the correct answer
A) 15840 B) 3388 C) 4200 D) 8766 E) 66711

Solution: a2 = 5625 => a = 75   4a = 300   300 * 14= 
300 * 14 = 4_200
4200   Answer: 4200
Answer: C
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is :	Choose the correct choice
A) 3/4∏ B) 4/3∏ C) 5∏ D) 5/9∏ E) None

Solution: Sol.   Required volume = Volume of a sphere of radius 1 cm   =[4/3 ∏ * 1 * 1 * 1]cm³ = 4/3 ∏cm³   Answer 4/3∏
Answer: B
Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choose the correct choice from the following answers
A) 38	B) 27	C) 99	D) 17	E) 80

Solution: Explanation:   Number of subjects = 6   Average of marks in 6 subjects = 75   Therefore total marks in 6 subjects = 75 * 6= 
75 * 6 = 450
450   Now, No. of subjects= 5   Total marks in 5 subjects = 74 * 5= 
74 * 5 = 370
370   Therefore marks in 6th subject= 450 – 370 = 80   ANSW80R: 80
Answer: E
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 39 kmph, find the speed of the stream?  Choose the correct answer:
A) 12 kmph B) 13 kmph C) 14 kmph D) 15 kmph E) 16 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 39/3= 
39/3 = 13
13 kmph   ANSWER:13 kmph
Answer: B
What is the probability of getting a sum 9 from two throws of dice.	Pick one
A) 1/3
B) 1/9
C) 1/12
D) 2/9
E) None of these

Solution: Explanation:   Total number of cases = 6*6= 
6*6 = 36
36   Favoured cases= [(3,6), (4,5), (6,3), (5,4)] = 4   So probability = 4/36 = 1/9   Option 1/9
Answer: B
The smallest 3 digit prime number is
Pick one.
A) A)113	B) B)103	C) C)109	D) D)101	E) E)None

Solution: The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.   101)
Answer: D
P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
Choose the most appropriate option:
A) 3 B) 8 C) 12 D) 4 E) 6

Solution: Explanation :   Let work done by P in 1 day = p   work done by Q in 1 day =q   Work done by R in 1 day = r   p + q = 1/8 ---(1)   q + r= 1/12	---(2)   p+ q+ r = 1/6	---(3)   (3) – (2) => p = 1/6 - 1/12 = 1/12   (3) – (1) => r = 1/6 – 1/8 = 1/24   p + r = 1/12 + 1/24 = 3/24 = 1/8   => P and R will finish the work in 8 days   Answer : Option 8
Answer: B
How many integers from 101 to 200, inclusive, are divisible by 3 but not divisible by 7?  Choose the most appropriate option:  A) 20  B) 25  C) 28  D) 30  E) 40

Solution: We should find # of integers divisible by 3 but not by 3*7= 
3*7 = 21
21.   # of multiples of 21 in the range from 101 to 200, inclusive is   (189-105)/21+1= 
  (189-105)/21+1 = 5
5;    33-5= 
 33-5 = 28
28.   Answer: 28.
Answer: C
Country X imposes a two-tiered tax on imported cars: the first tier imposes a tax of 25% 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 15%. If Ron imported a $30,000 imported car and ended up paying $5500 in taxes, what is the first tier's price level?  Options.
A) $10000
B) $11000
C) $12000
D) $10500
E) $11500

Solution: Let T be the tier price, P be total price = 30000   Per the given conditions:   0.25T + 0.15(P-T) = 5500   0.25T+0.15*30000-0.15T =5500   0.10T +4500 =5500   0.10T = 5500-4500= 
5500-4500 = 1_000
1000   T= 1000/0.10= 
1000/0.10 = 10_000
10000   $10000nswer $10000
Answer: A
In how many years will a sum of money doubles itself at 5% per annum on simple interest?	Choose the correct choice from the following.
A) 22 years
B) 20 years
C) 22 years
D) 31years
E) 13years

Solution: Explanation:   P = (P*5*R)/100   R = 20%   Answer: Option 20 years
Answer: B
One fourth of one third of two fifth of a number is 15. What will be40% of that number
Choices.
A) 140  B) 150  C) 180  D) 200  E) 250

Solution: Explanation:   (1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30= 
15 * 30 = 450
450   40% of 450= 180   Answer: Option 180
Answer: C
If a merchant makes a profit of 20% based on the selling price of an article, what percent does the merchant makes on the cost? Choices.
A) 20 B) 40 C) 25 D) 50 E) None of These

Solution: Let say Selling price will be Rs100,   20% profit means 25ost price will be Rs80 and Rs20 is profit   now we have to find what percent of 80 will be 20 : X% * 80 = 20   X will be 25%   ANSWER:25
Answer: C
Today my car meter reads as 72827 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.	Choose the correct choice from the following options:
A) 100 kms
B) 115 kms
C) 110 kms
D) 160 kms
E) 120 kms

Solution: 160 kms   160 kms   72827+160 = 72827 , a palindrome
Answer: D
Train A is 13 miles ahead of Train B, which is traveling the same direction along the same route as Train A. If Train A is traveling at an average speed of 37 miles per hour and Train B is traveling at an average speed of 43 miles per hour, how long will it take Train B to overtake and drive 17 miles ahead of Train A?  Select:
A) 4 hours
B) 2 hours
C) 2 hours 30 minutes
D) 5 hours
E) 3 hours 20 minutes

Solution: Relative speed = 43-37= 
43-37 = 6
6 miles per hour   Dist required= 13+17= 
13+17 = 30
30 miles   Time taken to overtake= 30/6= 
30/6 = 5
5 hours. 5 hours is the answer.
Answer: D
A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 5 Gallons of water and 10 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x? Choose the most appropriate option:
A) 37.5
B) 75
C) 100
D) 150
E) 175

Solution: Nope, 150. I can only get it by following PR's backsolving explanation. I hate that.   Original mixture has 20% salt and 80% water.   Total = x   Out of which Salt = 0.2x and water = 0.8x   Now, 1/4 water evaporates and all salt remains.   So what remains is 0.2x salt and 0.6x water.   Now 10 gallons salt is added and 5 gallons of water is added.   So salt now becomes -> (0.2x + 10) and water --> (0.6x+5)   Amount of salt is 33.33% of total. So amount of water is 66.66%. So salt is half of the volume of water.   So (0.2x+10) = (0.6x+5)/2 = 0.4X+20 = 0.6X+5 =>0.2X=15   Solving, x = 75   Answer : 75
Answer: B