MU-NLPC/Calc-aqua_rat huggingface dataset:
The manufacturer’s suggested retail price (MSRP) of a certain item is $60. Store A sells the item for 20 percent more than the MSRP. The regular price of the item at Store B is 30 percent more than the MSRP, but the item is currently on sale for 10 percent less than the regular price. If sales tax is 5 percent of the purchase price at both stores, what is the result when the total cost of the item at Store B is subtracted from the total cost of the item at Store A?	Answers
A) $0  B) $0.63  C) $1.80  D) $1.89  E) $2.10

Solution: MSRP = 60   Price at Store A =60∗120100=72=60∗120100=72   Price at Store B =60∗130100∗90100=70.2=60∗130100∗90100=70.2   $1.89ifference = 72.0 - 70.2= 
72.0 - 70.2 = 1.8
1.8   Sales tax applicable= 5% on both   = 1.8 + 0.09= 
1.8 + 0.09 = 1.89
1.89   Answer= $1.89
Answer: D
A man on tour travels first 150 km at 50 km/hr and the next 160 km at 80 km/hr. Find the average speed for first 310 km of tour. Pick one.
A) 60.11 km/hr	B) 61.01 km/hr	C) 62.00 km/hr	D) 63.11 km/hr	E) None of these

Solution: Explanation:   We know Time = Distance/speed   So total time taken =   (150/50+160/80)= 
(150/50+160/80) = 5
5hours   Time taken for 310 Km= 310/5= 
310/5 = 62
62.00km/hr   Option 62.00 km/hr
Answer: C
P beats Q by 250 meter in a kilometer race. Find Q's speed if P's speed is 16 meter/sec.  Choose the correct choice from the following answers.
A) 21 meter/sec B) 7 meter/sec C) 12 meter/sec D) 18 meter/sec E) 28 meter/sec

Solution: P's speed = 16m/s   P's distance = 1000m (as it is a km race)   t = 1000/16= 
1000/16 = 125/2 = around 62.5
62.5 sec   Q's distance= 1000-250= 
1000-250 = 750
750m   Q's time to complete this distance is also 62.5 sec.   Q's speed= dist/time = 750/62.5= 
750/62.5 = 12
12 m/s   Hence 12 meter/sec is the answer.
Answer: C
What is the difference between the place values of two sevens in the numeral 54709719 ?	Select the correct option:
A) 699300 B) 99990 C) 99980 D) 699930 E) None of these

Solution: Explanation:   Required Difference   = 700000 - 700= 
700000 - 700 = 699_300
699300   699300nswer is 699300
Answer: A
The diameter of a garden roller is 1.4 m and it is 4 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)
Choose the correct choice from the following answers:
A) 80 m2	B) 84 m2	C) 88 m2	D) 86 m2	E) None of these

Solution: Required area covered in 5 revolutions   = 5 Ã— 2Ï€rh = 5 Ã— 2 Ã— 22â„7 Ã— 0.7 Ã— 4 = 88 m2   Answer 88 m2
Answer: C
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be: Choose the correct choice:
A) 12	B) 14	C) 18	D) 20	E) 21

Solution: Let the present ages of son and father be x and (60 -x) years respectively.   Then, (60 - x) - 6 = 5(x - 6)   54 - x = 5x - 30   6x = 84   x = 14.   Son's age after 6 years = (x+ 6) = 20 years..   Ans- 20
Answer: D
A train passes a station platform in 34 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?  Choose the correct option.
A) 110 m	B) 210 m	C) 310 m	D) 360 m	E) 280 m

Solution: Speed = 54 x	5/18	m/sec = 15 m/sec.   Length of the train = (15 x 20)m = 300 m.   Let the length of the platform be x metres.   Then,	(x + 300)/34	= 15   x + 300 = 510   x = 210 m.Answer: Option 210 m
Answer: B
For how many integers n is 3^n = n^3?
Choose the correct answer
A) None	B) One	C) Two	D) Three	E) More than Three

Solution: draw a graph with n^3and 2^n, you'll seemore than 3 intercepts between the 2 curves, and the answer is More than Three
Answer: E
A bus takes 8 hours to cover a distance of 600 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time?  Select the correct option:  A) 50 Kmph  B) 56 Kmph  C) 63 Kmph  D) 55 Kmph  E) 70 Kmph

Solution: Time = 8   Distance = 600   4/3 of 8 hours = 8 * 4/3 = 10.7 Hours   Required speed = 600/10.7 = 56 Kmph   56 Kmph
Answer: B
90% of the population of a village is 8100. The total population of the village is?
Choose the correct choice from the following answers.
A) 9000  B) 24000  C) 26682  D) 29973  E) 12312

Solution: X * (90/100) = 8100   X = 90 * 100= 
90 * 100 = 9_000
9000   9000nswer: 9000
Answer: A
The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $15,000 each. What is the average salary of the remaining employees?
Choose the correct choice from the following:
A) $19,250  B) $18,500  C) $18,000  D) $19,100  E) $12,300

Solution: total salary... 15*20k=300k   5 emp @ 25k =125k   4 emp @ 15k =60k   remaing 6 emp sal = 300k-125k-60k =115k   average300 -125 -60= 
300 -125 -60 = 115
115k   average=115k/6 = 19100   Ans:$19,100
Answer: D
If A and B are two events such that P (A) = 1/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B).	Choose the correct choice from the following choices.
A) A)6/8  B) B)5/8  C) C)4/8  D) D)3/8  E) E)2/8

Solution: P(not A and not B) = 1 - (P(A) + P(B) - P(AB))   which you might find somewhere in your text.   Substituting in our probabilities we get:   P(not A and not B) = 1 - (1/4 + 1/2 - 3/8)   P(not A and not B) = 1 - (3/8)   P(not A and not B) = 5/8.   5/8
Answer: B
A reduction of 20% in the price of salt enables a lady to obtain 20 kgs more for Rs.100, find the original price per kg?	Pick one
A) 12.6
B) 1.21
C) 1.25
D) 12.4
E) 12.7

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 20   ? --- 1=> Rs.1   100 --- 80   ? --- 1=> Rs.1.25   Answer: 1.25
Answer: C
Find the average of all numbers between 2 and 63 which are divisible by 5	Choose the correct choice from the following choices:	A) 15	B) 20	C) 25	D) 32.5	E) 35

Solution: Explanation:   Average=(5+10+15+20+25+30+35+40+45+50+55+60)/12=390/12= 
390/12 = 65/2 = around 32.5
32.5   Answer: Option 32.5
Answer: D
In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 2). What is the area of the circle? Pick
A) 9π  B) 18π  C) 25π  D) 37π  E) 52π

Solution: r^2=(-3-1)^2+(-4-2)^2=16+36= 
16+36 = 52
52   Area of circle=πr^2=52π   Answer : 52π
Answer: E
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 4 buckles is how many times that of 5 buckles and 6 buttons? Choose the most appropriate option.
A) 7/15  B) 2/5  C) 8/15  D) 3/5  E) 11/15

Solution: Let x be the weight of a button and let y be the weight of a buckle.   2x + 2y = (1/3)(3x+11y)   3x = 5y   x = 5y/3   3x + 4y = a(6x+5y)   9y = a(15y)   a = 9/15 =3/5   The answer is 3/5.
Answer: D
There are eight different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models? Choose the correct choice: A) 72 B) 48 C) 284 D) 24 E) 8

Solution: Since we have 3 continental pairs (EU, SA, NA), these 4 pairs have 4*3*2*1= 
4*3*2*1 = 24
24 Combinations. Within each pair, you have however 2 different ways to put them together for each of the pair (2*2*2*2= 16). So we have 24*16 = 284.   Please correct me if im wrong.   Answer 284.
Answer: C
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +2?	Answers:
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: p is a positiveeveninteger with apositive units digit--> the units digit of p can be 2, 4, 6, or 8 -->   In order the units digit of p^3 - p^2 to be 0, the units digit of p^3 and p^2 must be the same. Thus the units digit of p can be 0, 1, 5 or 6.   Intersection of values is 6, thus the units digit of p + 2 is  6 + 2= 
 6 + 2 = 8
8.   Answer: 8.
Answer: B
Average of 5 numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?	Choose one: A) -33 B) -35 C) -39 D) -42 E) 32

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.   Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.   So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.   Solving this equation for d+ed+e gives d+e=−66d+e=−66.   Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.   Hence, the answer is -33: -33
Answer: A
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons? Choose the correct choice from the following choices
A) 180	B) 183	C) 190	D) 210	E) 212

Solution: Option '210'   7p3 = 7 × 6 × 5 = 210
Answer: D
If you have 5 New Year greeting cards and you want to send them to 2 of your friends, in how many ways can this be done?  Choose the correct option: A) 60 B) 20 C) 92 D) 67 E) None

Solution: Solution   We have to find number of permutations of 2 objects out of 5 objects. This number is 5P2=5(5-1)=5*4= 
5*4 = 20
20   Answer 20
Answer: B
Each of the 35 points is placed either inside or on the surface of a perfect sphere. If 88% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Pick.
A) 7
B) 11
C) 13
D) 14
E) 15

Solution: Maximum number of points on the surface is 88%*35 = 30.8 ... or 30 since it has to be an integer   Now note that if two points form a diameter, they cannot be part of any other diameter.   So in the best case we can pair up the points   We have 30 points, so at best we can form 15 pairs (30).   So, answer is (15)
Answer: E
Find the average of all the numbers between 11 and 34 which are divisible by 10?
Choose one:	A) 10	B) 20	C) 25	D) 30	E) 15

Solution: Average = (20+30) 2= 50/2= 
50/2 = 25
25   Answer is 25
Answer: C
7,12,40,222,1742,17390,208680 which number is wrong in series Choose the correct answer:
A) 7	B) 12	C) 40	D) 222	E) 1742

Solution: 7...........   all are even numbers expect 7   7NSWER:7
Answer: A
S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is  Options.
A) 198
B) 154
C) 199
D) 102
E) 105

Solution: last term =first term +(total no. of terms-1)consecutive difference   S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is   first term = 56 ; total terms =50 ; difference = 2   56+(49)2 = 154   Ans 154
Answer: B
A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on convenience he has Rs.1400 left with him,find his expenditure on food and conveyance. Answers:  A) 1000  B) 3000  C) 4000  D) 2000  E) 5000

Solution: Part of salary left=1-(2/5+3/10+1/8)   Let the monthly salary be Rs.x   Then, 7/40 of x=1400   X=(1400*40/7)   =8600   Expenditure on food=Rs.(3/10*800)=Rs.2400   Expenditure on conveyance=Rs.(1/8*8000)=Rs.1000   1000nswer is 1000.
Answer: A
The total of the ages of Amar, Akbar and Anthony is 60 years. What was the total of their ages three years ago ?
Choose the most appropriate option.
A) 50 years	B) 51 years	C) 52 years	D) 53 years	E) 55 years

Solution: Explanation:   Required sum = (60 - 3 x 3) years = (80 - 9) years = 51 years.   Answer: Option 51 years
Answer: B
If x and y are integers such that (x+1)^2 is less than or equal to 81 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?	Select
A) -16 B) -20 C) 0 D) 14 E) 16

Solution: (x+1)^2 <= 81   x <= 8   x >= -10   (y-1)^2 < 64   y < 9   y > -7   Max possible value of xy is -10 × -6 = 60   minimum possible value of xy is -10 × 8 = -80   -80 + 60 = -20   Answer : -20
Answer: B
John can read m pages in 4 minutes. At this rate, how long will it take him to read n pages?	Choose the correct choice from the following choices: A) 4m*n B) (5/m)*n C) (6/m)*n D) (4/m)*n E) (8/m)*n

Solution: m page in 4 mins   i.e. 1 page in 4/m mins   i.e. n pages in (4/m)*n   Answer: option (4/m)*n
Answer: D
If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 4	Choose the correct choice from the following:
A) a) I only  B) b) II only  C) c) I and II only  D) d) I and III only  E) e) I,II and III

Solution: The answer should be D i.e. X will be an integer and multiple of 3 and 6.   Let us take example n, n+1, n+2 as 3 three consecutive positive integers.   In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12   Hence in a product of 3 consecutive integers, the product is always divisible by 3.   Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.   Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even   Answerc) I and II only
Answer: C
IN Common Wealth Games an athlete runs 200 meters in 32 seconds. Hisspeed is ?	Choose the correct choice from the following answers.
A) 25 km/hr  B) 27 km/hr  C) 30 km/hr  D) 32 km/hr  E) None of these

Solution: None of thesexplanation :   (200/1000)/(32/3600)=22.72 km/hr   Answer : None of these
Answer: E
A and B together can do a piece of work in 8 days. If A alone can do the same work in 20 days, then B alone can do the same work in?  Choose the correct choice from the following answers:
A) 0.075 days B) 0.45 days C) 0.55 days D) 0.25 days E) 0.15 days

Solution: B = 1/8 – 1/22 =0.075 days   0.075 daysNSWER:0.075 days
Answer: A
At a certain college, 50 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?	Choose the correct choice.
A) 14% B) 4% C) 15% D) 5% E) 25%

Solution: Let's say there is a TOTAL of100students at this college.   50 percent of the total number of students are freshmen.   # of freshmen = 50% of 100 =50   40 percent of the fresh-men are enrolled in the school of liberal arts...   Number of liberal arts freshmen = 40% of 50=20   ...and, of these, 20 percent are psychology majors...   Number of liberal arts freshmen who are psychology majors = 20% of 20=4   What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?   4/100= 4%   Answer: 4%
Answer: B
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?	Choose the correct choice from the following choices.
A) 65 B) 69.5 C) 67.5 D) 62.5 E) 22.5

Solution: CP = 47.50   SP = 47.50*(130/100)= 
47.50*(130/100) = 61.75
61.75   MP*(95/100)= 61.75   MP = 65   65nswer:65
Answer: A
Among the answers given below, which is nearly equal to √7?  Pick
A) 2.3  B) 1.9  C) 2.6  D) 2.5  E) 3.0

Solution: 2.6 is nearly equal to the square root of 7   2.6*2.6= 
2.6*2.6 = 6.76
6.76   2.5*2.5= 
2.5*2.5 = 6.25
6.25   difference    7 - 6.76= 
 7 - 6.76 = 0.24
0.24   7 - 6.25= 
7 - 6.25 = 0.75
0.75   Since 0.24 is lesser of both, 2.6 is closer.   Answer is 2.6
Answer: C
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 7 days ?
Choose the correct choice:
A) X-1/8
B) X-1/32
C) X-1/64
D) X-1/128
E) X-1/164

Solution: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.   FINALLY ON LEAVE WILL BE LEFT ..SO ON 3RX-1/128 X-1/128AY LEAVE LOST IS X-1/128 ANSWER X-1/128
Answer: D
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.32 per ounce, what is the share of Arabica in this blend?
Choose one
A) 20%  B) 24%  C) 30%  D) 33%  E) 40%

Solution: a= amount of arabica coffee   1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta   therefore:   .4a + .3(1-a) = .32   .4a + .3 - .3a = .32   a= .2   therefore: .2/1 ounce = 20%. Therefore, the answer should be 20%
Answer: A
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/9 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used? Choose the correct choice:
A) 18
B) 144
C) 104
D) 216
E) 250

Solution: Total paint initially = 360 gallons   Paint used in the first week = (1/9)*360= 
(1/9)*360 = 40
40 gallons.   Remaning paint= 320 gallons   Paint used in the second week = (1/5)*320= 
(1/5)*320 = 64
64 gallons   Total paint used= 104 gallons.   Option 104
Answer: C
Jim and Reneesh will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Reneesh have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?	Choose the correct answer:
A) 5/6  B) 2/3  C) 1/2  D) 5/12  E) 1/3

Solution: 1/3   probability of jim winning is basically the sum of three probabilities:   probability of jim picking rock and reneesh picking scissors = 1/3*1/3 = 1/9   probability of jim picking scissors and reneesh picking paper = 1/3*1/3=1/9   probability of jim picking paper and reneesh picking rock = 1/3*1/3=1/9   1/9 + 1/9 + 1/9 = 3/9 = 1/3=1/3
Answer: E
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length?
Pick one:
A) 18.9 sec	B) 88.9 sec	C) 22.9 sec	D) 24.00 sec	E) 72.0 sec

Solution: 24.00 sec = 110 + 290= 
110 + 290 = 400
400 m   S= 60 * 5/18 = 50/3   T = 400 * 3/50= 
400 * 3/50 = 24
24.00 sec   Answer: 24.00 sec
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 21 seconds. Find the length of the train.  Choose the correct answer
A) 350 m
B) 145 m
C) 240 m
D) 135 m
E) 255 m

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time   (50/3) * 15 = 350 meter   350 mNSWER: 350 m
Answer: A
A number is doubled and 4 is added. If the resultant is divided by 5, it becomes 25. What is that number?  Choices
A) 73.5	B) 68	C) 60.5	D) None of these	E) Cannot be determined

Solution: Solution   Let the number be x.   Then, (2x + 4)/5 ‹=› 25   ‹=› 2x+4 = 125   ‹=› 2x= 121   x= 60.5   Answer 60.5
Answer: C
A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water?  Options
A) 7h B) 3h C) 4h D) 2h E) 9h

Solution: Explanation:   Upstream speed = 3h-S   Downstream speed = 3h+s   3h-S = 15/5= 
15/5 = 3
3 km/h   Again 3h= 4S   Therefore 3h-S = 3= 3S   => S = 1 and 3h= 4 km/h   Therefore 3h+S = 5km/h   Therefore, Time during downstream = 15/5= 
15/5 = 3
3h   Answer: 3h
Answer: B
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of Q applicants majored in political science and had a GPA higher than 3.0? Choose the correct choice from the following answers
A) 5  B) 10  C) 15  D) 25  E) 35

Solution: Total applicants = 40   Political science = 15 and Non political science = 40 - 15= 
40 - 15 = 25
25   GP5 > 3.0= 20 and GP5 <= 3.0 = 20   10 Non political science students had GP5 <= 3.0 --> 15 Non political science students had GP5 > 3.0   GP5 > 3.0 in political science = Total - (GP5 > 3.0 in non political science) Q= 20 - 15= 
20 - 15 = 5
5   5nswer: 5
Answer: A
A person buys an article at Rs.340. At what price should he sell the article so as to make a profit of 10%? Select the correct option.
A) 600 B) 882 C) 374 D) 356 E) 521

Solution: 374ost price = Rs.340   profit = 10% of 340 = Rs.34   Selling price = 374ost price + Profit   = 340 + 34= 
340 + 34 = 374
374   Answer: 374
Answer: C
At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?	Choose the correct answer:
A) 4% B) 7% C) 9% D) 3% E) 1%

Solution: Let sum = x. Then, S.I. = 2x/5, Time   = 10 years.   Rate = (100 * 2x) / (x * 5 * 10)   = 4%   4%nswer: 4%
Answer: A
A and B are two circles. The radius of A is twice as large as the diameter of B. What is the ratio between the areas of the circles?  Choose the correct choice from the following
A) 1:8.
B) 1:2.
C) 1:4.
D) 1:16
E) 1:6.

Solution: Given :   The radius of A is twice as large as the diameter of B. => R(a) = 2*D(b) = 2*2*R(b) = 4R(b).   The radius are in ratio of 1:4 thus the area will be in the ratio of square of radius. 1:16.   Hence 1:16.
Answer: D
Nathan is 3.4 miles from home and is traveling at 60 mph. How long until he is home? Answers
A) About 9 minutes	B) About 5 and a half minutes	C) About 12 minutes and a half	D) About 16 minutes	E) About 2 minutes

Solution: 60/3.4=5.5 m correct answer About 5 and a half minutes
Answer: B
Two persons starting from the same place walk at a rate of 9kmph and 12.5kmph respectively. What time will they take to be 24.5km apart, if they walk in the same direction?	Choose the correct choice from the following answers
A) 7 hrs B) 22 hrs C) 5 hrs D) 12 hrs E) 16 hrs

Solution: The relative speed of the boys = 12.5kmph – 9kmph   = 3.5 kmph   Distance between them is 24.5 km   Time= 24.5km / 3.5 kmph = 7 hrs   7 hrsnswer : 7 hrs
Answer: A
An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,925, what was the total number of pairs of contact lenses that she sold?
Select:
A) 11	B) 13	C) 15	D) 17	E) 19

Solution: (x+5)*150 +x*85=1925   =>x=5   total lens=5+(5+5)= 
5+(5+5) = 15
15   Answer 15
Answer: C
X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work? Answers.
A) 2	B) 3	C) 9	D) 5	E) 8

Solution: Work done by X in 1 day = 1/20   Work done by Y in 1 day = 1/16   Work done by Y in 12 days = 12/16 = 3/4   Remaining work = 1 – 3/4 = 1/4   Number of days in which X can finish the remaining work = (1/4) / (1/20)= 
(1/4) / (1/20) = 5
5   5
Answer: D
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. Options.
A) 3  B) 4  C) 5  D) 6  E) None of the above

Solution: (x+2)×60+x×120+(x−2)×180/(x+2)+x+(x−2)=100   ⇒ 360x−240/3x = 100   ⇒ 60x = 240 ⇒ x = 4   Answer None of the above
Answer: E
In how many different ways can the letters of the word ATRIUMS be arranged in such a way that the vowels occupy only the even positions?
Choose the correct choice from the following options.
A) 72 B) 96 C) 120 D) 144 E) 180

Solution: The 3 vowels can be arranged in 3 even places in 3! ways.   The 4 consonants can be arranged in 4 odd places in 4! ways.   The number of arrangements with vowels in even positions = 3! Ã— 4! = 6 Ã— 24 = 144   The answer is 144.
Answer: D
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected? Choose one:
A) 187 ways  B) 500 ways  C) 168 ways  D) 659 ways  E) 175 ways

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 25 girls in 25 ways   We select a boy and girl in 20 * 25 ways i.e.,   = 500 ways.   Answer:500 ways
Answer: B