MU-NLPC/Calc-aqua_rat huggingface dataset:
A dealership needs to fill the empty lot with cars. If separated into to 5 rows, 6 rows, or 7 rows, no cars will be left over. What is the least number of cars needed?  Pick
A) 103 B) 98 C) 265 D) 33 E) 210

Solution: To solve you need to find the LCM. LCM (5,6,7)=210. Each row would need 210 cars wether there were 5, 6, or 7 rows. Answer 210.
Answer: E
X and Y invested in a business. They earned some profit which they divided in the ratio of 1 : 2. If X invested Rs.20,000. the amount invested by Y is
Choose the correct option: A) Rs.45,000 B) Rs.40,000 C) Rs.60,000 D) Rs.80,000 E) None

Solution: Solution   Suppose Y invested Rs.y   Then,	20000 /y = 1 / 2   â€¹=â€º y=(20000Ã—2 / 1).   â€¹=â€º y=40000.   Answer Rs.40,000
Answer: B
A reduction of 20% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?	Pick one:	A) s.42	B) s.46	C) s.40	D) s.41	E) s.32

Solution: 800*(20/100)= 
800*(20/100) = 160
160 ---- 5   ? ---- 1=> Rs.32   Answer: s.32
Answer: E
If c + xy = c and x is not equal to 0, which of the following must be true?  Choices:	A) x=0	B) x+y=0	C) y=0	D) x<0	E) x=c

Solution: c + xy = c --> xy=0. Since x is not equal to 0, thus y = 0.   Answer: y=0.
Answer: C
There are 8 people and 3 tables. In how many ways people can occupy the tables?	Pick
A) 336
B) 840
C) 560
D) 740
E) 800

Solution: total people = 8   total tables = 3   1st can be occupy in 8ways   2nd can be occupy in 7ways   3rd can be occupy in 6ways   total number of ways = 8*7*6= 
8*7*6 = 336
336 ways   correct option is 336
Answer: A
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?  Choose the correct choice from the following options:  A) 9:32  B) 9:30  C) 32:9  D) 19:32  E) 18:30

Solution: Water:soap = 3:4   Soap:Salt=15:20   => For 15 soap, salt = 20   => For 4 Soap, salt = (20/15)*4 = 80/15=16/3   So, water:soap:salt = 3:4:16/3= 9:12:16   9:32fter open container, water:soap:salt =4.5:12:16   So, water:salt = 4.5:16 = 9:32   9:32NSWER:9:32
Answer: A
Convert the 13/54 m/s into kilometers per hour?
Choices:
A) 1.7 B) 1.5 C) 0.86 D) 1.1 E) 1.2

Solution: 13/54 m/s = 13/54 * 18/5 = 13/15   = 0.86 kmph.   Answer: 0.86
Answer: C
What is the next number of the following sequence
8, 24, 12, 36, 18, 54, (....)
Choices:
A) 27
B) 108
C) 68
D) 72
E) 62

Solution: The series is   8*3= 
8*3 = 24
24   24/2= 
24/2 = 12
12   12*3= 
12*3 = 36
36   36/2= 
36/2 = 18
18   18*3= 
18*3 = 54
54   54/2= 
54/2 = 27
27   27NSWER:27
Answer: A
The H.C.F. and L.C.M. of two numbers are 13 and 5040 respectively If one of the numbers is 144, find the other number
Choose the most appropriate option: A) 400 B) 256 C) 120 D) 455 E) None of these

Solution: Explanation:   Solve this question by using below formula.   Product of 2 numbers = product of their HCF and LCM   144 * x = 13 * 5040   x = (13*5040)/144= 
(13*5040)/144 = 455
455   Option 455
Answer: D
On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets? Select the correct option:
A) 33 1/3%
B) 75%
C) 50%
D) 60%
E) 66 2/3%

Solution: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?   Solution: Let total number of passengers be 100   According to Q stem 40% of passengers who had round-trip tics have taken cars - let number of passengers with round trip be X then   40% of X = 30 => X= 75.   Answer 75%
Answer: B
In how many different number of ways 3 boys and 4 girls can sit on a bench such that girls always sit together.  Select
A) A)720	B) B)576	C) C)740	D) D)780	E) E)790

Solution: 576   Option '576'
Answer: B
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 22.? Choose the correct choice from the following choices
A) 88	B) 56	C) 64	D) 72	E) 80

Solution: the number of people are a multiple of both 8 and 22, so it must be divisible by 8 and 22.   using the elimination method look for a number that is both divisible by 8 and 22,   of all the options only 88 is divisible by 8 and 22.   [   88/8= 
  88/8 = 11
11 and 88/22=3]   answer :88
Answer: A
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 5,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choose the correct answer:	A) 1.25%	B) 3.75%	C) 6.25%	D) 6.67%	E) 11.11%

Solution: The remaining solution will be approximately what percent sodium chloride?means:what percent of the remaining solution is sodium chloride. Now, since the remaining solution is 10,000-5,500=4,500 gallons and sodium chloride is 500 gallons (5% of initial solution of 10,000 gallons) then sodium chloride is 500/4,500*100=~11.11% of the remaining solution of 4,500 gallons.   Answer: 11.11%.
Answer: E
When average age of 22 members are 0, how many members greater than 0?	Choose one.
A) 17  B) 21  C) 22  D) 24  E) 25

Solution: Average of 22 numbers = 0.   Sum of 22 numbers (0 x 22) = 0.   It is quite possible that 21 of these numbers may be positive and if their sum is a then 22nd number is (-a)   Answer is 21 (21)
Answer: B
A team has to design a flag. The team has five yellow strips of cloth and six green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Answers
A) 120
B) 144
C) 256
D) 462
E) 600

Solution: The # of permutations of total 5+6= 
5+6 = 11
11 strips where 5 are identical yellow and 6 are identical green is 11!/(5!*6!)=462 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).   Answer: 462.
Answer: D
If the number 52,1n8, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?	Choose the correct answer:
A) 6  B) 5  C) 3  D) 1  E) 0

Solution: The sum of the digits 5 + 2 + 1 + n + 8 must be a multiple of 3   16 + n must be a multiple of 3   substituting the numbers n must = 5   Answer 5
Answer: B
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 65, what is the common ratio of the G.P?  Choose the most appropriate option
A) 4
B) 1/4
C) 2
D) 9
E) 1/9

Solution: 65=(a1+a2+a3+a4+a5+a6)/(a1+a2+a3)   Factorize the same terms   65=1+(a4+a5+a6)/(a1+a2+a3)   Write every term with respect to r   a1=a1   a2=a1*r^1   a3=a1*r^2   .........   65=1+(a1(r^3+r^4+r^5))/(a1(1+r^1+r^2))   64=(r^3 (1+r^1+r^2))/((1+r^1+r^2))   64=r^3   r=4   4
Answer: A
Three people have $36, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?  Choose the correct choice from the following options:
A) $103  B) $85  C) $98  D) $101  E) $202

Solution: Solution -   Total money distributed is $206. In order to maximize median, one person has to accept $0 and remaining two people share $103 each. Hence median is $103.   $103NS $103
Answer: A
All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have only one face coloured ? Choose the correct answer
A) 4
B) 8
C) 16
D) 24
E) 2

Solution: There are 64 small cubes,Hence one side side of the big cube is 3√64=4 cm   Number of small cubes having only one face coloured = (x - 2)2 x No. of faces   = (4 - 2)^2 x 6   = 24   Answer:24
Answer: D
If Juan takes 16 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?	Choose the correct choice from the following
A) 16x/y  B) 16y/x  C) x/(16y)  D) 16/(xy)  E) xy/16

Solution: This problem is testing us on the Rate x Time = Distance relationship. This relationship also tells us that Rate = Distance/Time and Time = Distance/Rate.   Ultimately, we are looking for how many seconds it will take Juan to run x yards. Thus, the equation we’ll use is: Time = Distance/Rate. We know the distance is x yards, and we need to find Juan’s rate.   We can find Juan’s rate as follows: Rate = Distance/Time = y yards/16 seconds   Using that rate, we need to determine how long it takes him to run x yards at the same rate. So we have:   Time = Distance/Rate   Time = x yards/(y yards/16 seconds)   Time = (x yards) x (16seconds/y yards)   Time = 16x/y seconds   16x/ynswer 16x/y.
Answer: A
Find the odd man out 2, 3, 6, 15, 52.5, 157.5, 630  Pick:
A) 6
B) 157.5
C) 15
D) 3
E) 52.5

Solution: 2 x 1.5 = 3   3 x 2 = 6   6 x 2.5 = 15   15 x 3 = 45   ANSW52.5R:52.5
Answer: E
A man walks at a speed of 5 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Select:
A) 1 4/5 hours	B) 2 hours	C) 2 1/6 hours	D) 2 1/3 hours	E) 2 1/2 hours

Solution: Required time   = (5 1/4)/5 + (5 1/4)/7   = 1 4/5 hours.   1 4/5 hoursnswer:1 4/5 hours
Answer: A
A straight line in the xy- plane has y-intercept of 49 . On this line the x-coordinate of the point is 71 and y-coordinate is 12 then what is the slope of the line? Choose the correct choice: A) 0.5 B) 0.51 C) -0.52 D) 0.31 E) -0.49

Solution: Eq of line = Y = MX +-0.52   -0.52= 49   X=71   Y=12   Substitute given:   M = (Y--0.52) / X = (12 - 49) / 71 = -37/71 = -0.52   correct option is -0.52
Answer: C
Bob and Sue are building a brick wall. They can each lay fifty bricks per hour. If Bob takes a one hour break after every two hours of working, and Sue takes a one-hour break after every three hours of working, how long will it take them to finish the wall if they need to lay 600 bricks to finish the wall?  Choose the correct choice from the following answers:
A) 6 hours B) 7 hours C) 8 hours D) 9 hours E) 10 hours

Solution: Bob works 2 hours out of every 3. Sue works 3 hours out of every 4. They can each lay 50 bricks per hour of work. Laying 600 bricks will take a total work of  600/50= 
 600/50 = 12
12 hours. After 6 hours, Bob has done 4 hours of work and Sue has done 5 hours of work, for a total of 9 hours. After 7 hours, Bob has done 5 hours of work and Sue has done 6 hours of work, for a total of 11 hours. After 8 hours, Bob has done 6 hours of work and Sue has done 6 hours of work, for a total of 12 hours. Therefore, the answer is 8 hours.
Answer: C
If the side length of Square B is sqrt(5) times that of Square A, the area of Square B is how many times the area of Square A?	Choose the correct answer.
A) 1.5  B) 2  C) 3  D) 4  E) 5

Solution: Let x be the side length of Square A.   Then the area of Square A is x^2.   The area of Square B is (sqrt(5)x)^2=5x^2.   The answer is 5.
Answer: E
If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds? Choose the correct choice from the following choices
A) 33⁄2	B) 15	C) 12	D) 22	E) None of these

Solution: In order to strike 12, there are 11 intervals of equal time   = 33⁄11 = 3 seconds each   Therefore, to strike 6 it has 5 equal intervals, it requires 5 × 3 = 15 sec.   Answer 15
Answer: B
What is the average (arithmetic mean) of the numbers 5, 6, 7, 7, 8, and 9? Choose the most appropriate option.
A) 4.2 B) 6.5 C) 6 D) 7 E) 8

Solution: {5, 6, 7, 7, 8, 9}={7-2,7-1, 7, 7,7+1,7+2} --> the average = 7.   Answer: 7.
Answer: D
(1/2) of a number is 3 more than the (1/6) of the same number?	Choose the correct choice:
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: Take a number as x.   (1/2) of a number is 3 more than the (1/6) of the same number.   i.e., x/2 = 3+(x/6)   => x/3 = 3   => x = 9   ANSWER:9
Answer: D
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?  Choose the correct option:
A) 480
B) 287
C) 289
D) 270
E) 927

Solution: 1/x - 1/20 = -1/24   x = 120   120 * 4= 
120 * 4 = 480
480   480nswer: 480
Answer: A
A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?	Choose the most appropriate option:
A) 4:2
B) 4:8
C) 5:3
D) 4:0
E) 4:9

Solution: 15:9   = 5:3   Answer: 5:3
Answer: C
A can run 4 times as fast as B and gives B a start of 60 m. How long should the race course be so that A and B might reach in the same time?
Choose the correct choice from the following choices:	A) 70 m	B) 60 m	C) 80 m	D) 65 m	E) 75 m

Solution: Speed of A:Speed of B=4:1   means in a race of 4m A gains 3m.   then in a race of 60m he gains 60*(4/3)   I.e 80m   ANSWER:80 m
Answer: C
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?	Choose the correct option
A) 352 m
B) 704 m
C) 454 m
D) 186 m
E) 176 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 250 resolutions.   = 250 * 2 * 22/7 * 22.4= 
250 * 2 * 22/7 * 22.4 = 35_200
35200 cm= 352 m   352 mnswer: 352 m
Answer: A
If x is the median of the set {9/2, 10/3, 27/9, 21/5, x}, x could be Options:
A) 16/5  B) 17/5  C) 28/7  D) 30/7  E) 31/7

Solution: The median is the middle number once all the numbers are arranged in increasing/decreasing order.   We see that   10/3 = 3.something,   27/9= 
27/9 = 3
3.something   21/5= 4.something   9/2 = 4.something   So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)   Answer (28/7)
Answer: C
12, 38, 116, 350, 1052, ? Choose the correct option:
A) 5815  B) 3815  C) 3518  D) 3158  E) 1538

Solution: 12   12 × 3 + 2 = 38   38 × 3 + 2 = 116   116 × 3 + 2 = 350   350 × 3 + 2 = 1052   1052 × 3 + 2 = 3158   Answer is 3158.
Answer: D
A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000 while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of 3 years?	Choose the correct choice from the following answers.
A) 2 : 3 : 5  B) 3 : 4 : 7  C) 4 : 5 : 9  D) None of these  E) Cannot be determined

Solution: Solution   A : B: C	=(40000×36) : (80000×12+40000×24) : (120000×24+40000×12)   =144 :192 :336   = 3 : 4 : 7.   Answer 3 : 4 : 7
Answer: B
Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and B is closed after 3 minutes, how much further time would it take for A to fill the bucket? Choose the most appropriate option.
A) 5min. 50sec.
B) 5min. 30 sec.
C) 6 min 36 sec.
D) 6mins. 32 sec.
E) 6 min. 15 sec.

Solution: Explanation:   Part filled in 3 minutes =   3∗(1/12+1/15)=3∗9/60=9/20   Remaining part =1−9/20=11/20   =>1/12:11/20=1:X   =>X=6.6 mins.   =>X=6.6 mins.   So it will take further 6 mins 36 seconds to fill the bucket.   Option 6 min 36 sec.
Answer: C
James took a 3-hour bike ride. In the second hour he traveled 6 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?  Choose the correct choice from the following options:
A) 54.0
B) 54.9
C) 18.5
D) 57.0
E) 63.0

Solution: Let the distance travelled in the first hour be x. Thus, 1.2x = 6, x = 5. Now, the distance travelled in the 3rd hour = 6+1/4âˆ—6=7.5 The only option ending with a 0.5 in the decimal place is C.   ANSWER:18.5
Answer: C
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 2y-y pounds. Which of the following represents Allen’s weight?
Options.
A) y - x/2 B) 2x - y/2 C) (y - x)/2 D) y - 2x E) 2x - y

Solution: These type of multi-variable story problems are usually perfect for TESTing VALUES.   Here, we're told that Dimitri weighs X pounds more than Allen weighs and that they weight a combined TOTAL of 2Y-Y or Y pounds.   IF....   Dimitri = 30   Allen = 20   X = 10   Y = 50   We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.   Answer A:  50 - (10/2)= 
 50 - (10/2) = 45
45 NOT a match   Answer B: 20 - (50/2)= -5 NOT a match   Answer (y - x)/2: (50-10)/2 = 20 This IS a match   Answer D:   50 - 20= 
  50 - 20 = 30
30 NOT a match   Answer E: 20 - 50= -30 NOT a match   Final Answer:   (y - x)/2
Answer: C
24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choices
A) 5 B) 10 C) 15 D) 20 E) 25

Solution: Let us now solve for x:   (4/5)X + (1/6)(49-X) = 24   24x + 5(49-x) = (24)(30)   24x + 245-5x = (24)(30)   19x = 720 -245   19x = 475   x=25   ANSW25R:25
Answer: E
Which is smallest prime number?  Select
A) 97
B) 109
C) 103
D) 95
E) 163

Solution: 97nswer:97
Answer: A
The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 6:4. As a result of the gift, Kaye had how many more stamps than Alberto?
Pick
A) 80 B) 85 C) 65 D) 55 E) 50

Solution: C   K1 = 5x   801 = 3x   K2 = 5x - 10   802 = 3x + 10   K2/802 = 6/4   (5x-10)/(3x+10) = 6/4   4*(5x-10) =6*(3x+10)   20x - 40 = 18x + 60   2x = 100   x = 50   K2 = 5*50 - 10= 
5*50 - 10 = 240
240   802= 3*50 + 10= 
3*50 + 10 = 160
160   K2 - 802= 80   80nswer : 80
Answer: A
What distance will be covered by a bus moving at 54 kmph in 30 seconds? Select:
A) 605  B) 450  C) 601  D) 609  E) 604

Solution: 54 kmph = 54 * 5/18= 
54 * 5/18 = 15
15 mps   D= Speed * time = 15 * 30= 
15 * 30 = 450
450 m.   Answer: 450
Answer: B
Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?	Choose the correct option.
A) Rs. 8600	B) Rs. 8620	C) Rs. 8820	D) Rs. 9820	E) None of these

Solution: Explanation:   Amount   = Rs.[8000 x	(1 + 5/100)2]	= Rs. 8820.   ANSWER IS Rs. 8820
Answer: C
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different E ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?	Choose the correct choice:
A) 5
B) 6
C) 9
D) 12
E) 18

Solution: Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:   XYZ   YZX   ZXY   And:   XYZ   ZXY   YZX   Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes possible E is   2*6= 
  2*6 = 12
12.   Answer: 12.
Answer: D
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?  Options.
A) 2%
B) 17%
C) 20%
D) 65%
E) 83%

Solution: New Value – Old Value)/Old Value x 100   We are given:   February sales this year = 385 million   February sales last year = 320 million   We need to determine the percent increase between sales from last year to sales this year.   Thus, the new value = 385 million and the old value = 320 million. Let’s plug them into our percent change formula.   (New Value – Old Value)/Old Value x 100   [(385 – 320)/320] x 100   65/320 x 100   13/64 x 100 ≈ 13/65 x 100 ≈ 1/5 x 100 ≈ 20%.   The answer is 20%.
Answer: C
Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z.  Choices:
A) I only  B) II only  C) III only  D) I and II  E) II and III

Solution: Length of Z = z   Length of Y = z-2   Length of X = 2z-4   Minimum possible length of fence Z is 2 feet, because if we take the value for length of z below 2, lengths of Z and Y would be negative which is not possible.   If Z = 2   then Y = 0 and X = 0   When we add 3 feet in each fence, we will get   Z= 5   Y=3   X=3   Only Statement II holds true with above values.   ANSWER:II only
Answer: B
When Tom works alone he chops 4lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 4 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?. Choose the most appropriate option:
A) 125 % B) 100% C) 25% D) 225% E) 400%

Solution: Tom chops 8 lbs in 12 minutes   Tammy chopsWhen Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?. 9 lbs in 6 minutes   So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer.   Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.   125 %ns :125 %
Answer: A
$100 is divided amongst A,B and C so that A may get 1/4 as much as B and C together, B may get 3/5 as much as A and C together, then the share of A is
Choices
A) $15	B) $20	C) $25	D) $18	E) $30

Solution: A:($20+C) = 1:4   A's share = 100*1/5= 
100*1/5 = 20
$20   Answer is $20
Answer: B
A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is? Pick one:
A) 32
B) 33
C) 88
D) 66
E) 09

Solution: S = (150 + 240)/42 = 390/42 * 18/5 = 33   Answer: 33
Answer: B
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.	Pick:
A) 16.80 × 4.50 + 4.4 B) 1600 ÷ 40 + 16 × 2.5 C) 5.5 × 8.4 + 34.6 D) 1620 ÷ 20 – 1 E) 1856.95 – 1680.65 – 96.3

Solution: Others equal 80 whereas (c) equals 80.8.   Answer 5.5 × 8.4 + 34.6
Answer: C
If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 3 times, what is the probability that it will land tails up on the first flip and not on the last 2 flips?
Choose the correct answer:
A) 1/8
B) 1/4
C) 1/3
D) 1/2
E) 3/4

Solution: (1/2) * (1/2) * (1/2) = 1/8 1/8nswer: 1/8
Answer: A
A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent? Select
A) 34 %
B) 33 %
C) 20 %
D) 35 %
E) 30 %

Solution: The total number of mangoes bought by the shopkeeper be 30.   If he buys 6 a rupee, his 20 %P = 5   He selling at 5 a rupee, his SP = 6   Profit = SP - 20 %P = 6 - 5= 
6 - 5 = 1
1   Profit Percent= 1/5 * 100= 
1/5 * 100 = 20
20 %   Answer:20 %
Answer: C
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? Choices: A) 230 m B) 240 m C) 260 m D) 270 m E) 290 m

Solution: 72 Kmph=72*5/18= 
72*5/18 = 20
20m/s   The train has to cover its length and the length of the platform   so the total distance=250+l   250+l=20*26   250+l=520   l=520-250= 
520-250 = 270
270m   length of the train=270m   ANSWER:270 m
Answer: D