MU-NLPC/Calc-aqua_rat huggingface dataset:
Cars M and N are approaching each other on the same highway. Car M is moving at 55 mph northbound and Car N is moving at 65 mph southbound. At 2:00 pm, they are approaching each other and 195 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 45 miles apart?
Choose the correct choice:
A) 4:00 pm
B) 4:07 pm
C) 4:54 pm
D) 5:21 pm
E) 6:00 pm

Solution: Total distance, which should be covered by both cars is   195+45= 
  195+45 = 240
240 miles.   Let t be the time so the equation will be 55t+65t=240 thus,   t=2 hours   4:00 pmnswer: 4:00 pm
Answer: A
in a party 65% of women wearing black tshirts 50% of the total people in party wearing black t shirts ,then what is the ratio of male is to female.35% of the man wearing black t shirs. There are 120 people in the party. Choices
A) 1:1
B) 1:2
C) 1:3
D) 1:4
E) 1:5

Solution: suppose male =m,female=f,   so, 65% of f+35% of m=50% (f+m)   solving,   65% of f +35% of m=50% of f +50%of m   15% of f=15% of m   f/m=15%/15% =1:1   1:1NSWER:1:115 /15= 
15 /15 = 1
1:1   1:1NSWER:1:1
Answer: A
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Choose the correct choice from the following answers:
A) 4
B) 2
C) 5
D) 7
E) 3

Solution: x + y = 25   xy = 144   (x- y)2 = (x + y)2 â€“ 4xy   (x- y)2 = 625 â€“ 576 => (x â€“ y) = 7   Answer 7
Answer: D
This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 5 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 5 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Choose the correct choice from the following answers
A) 9P6  B) 8P3  C) 9C9  D) 8C6  E) 8C5

Solution: since we have to select random 5 numbers from 8 and they all are distinct. i think it should be 8C5or 8C5
Answer: E
A garment company declared 15% discount for whole sale buyers. Mr Sachdev bought garments from the company for 25,000 after getting discount. He fixed up the selling price of garments in such a way that he earned a profit of 8% on original company price. What is the approximate total selling price? Select the correct option.
A) 28,000	B) 29,000	C) 32,000	D) 28,500	E) 29,500

Solution: Original S.P. of company = 25,000×100/85= 29411.8   ∴ Approximate total S.P = 29411.8×108/100 = 32,000   Answer 32,000
Answer: C
One-third of 1206 is what percent of 134 ?
Options
A) 3 B) 30 C) 300 D) None of these E) cannot be determined

Solution: Answer   Let one-third of 1206 is N% of 134.   ∵ 1206/3 = (N x 134)/100   ∴ N = (402 x 100) / 134 = 300   300orrect Option: 300
Answer: C
Winson traveled the entire 60 miles trip. If he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Choose the correct answer
A) 20mph  B) 24mph  C) 30mph  D) 32mph  E) 40mph

Solution: Average speed=sum of distance/sum of time. If he travelled the first 10 miles at 20 miles/hr, it would take 0.5 hr. For the remaining trip, if he went at 48 miles/1hr, it would take 1 hour. Then, the average speed is 60miles/(0.5+1)hrs=40miles/1hr.   Therefore, the answer is 40mph.
Answer: E
If $1000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choose the correct choice from the following choices.
A) 1000n(x/100) B) 10,000(x/100)^n C) 10,000n(x/100) D) 10,000(1+x/100)^n E) 10,000n(1+x/100)

Solution: I think answer D is for compound interest (which i assumed)   and answer 1000n(x/100) is for simple interest because it is not compounding.
Answer: A
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years? Choose the correct choice from the following.
A) 4	B) 3	C) 2	D) 5	E) 6

Solution: Let the rate of interest be R% p.a.   17400[1 + R/100]2 = 17400 + 1783.50   [1 + R/100]2 = (17400 + 1783.50)/17400   = 1 + 1025/10000 = 1 + 41/400   = 441/400 = [21/20]2   [1 + R/100] = 21/20   R/100 = 1/20   Therefore R = 5   Answer: 5
Answer: D
A lacrosse team plays games only against the other five teams in its league and always in the following order: Smiley, Ranch, Broad, Thomas and Jake. If the team’s final game of the season is against Thomas, which of the following could be the number of games in the team’s schedule? Choose the correct choice from the following
A) 34 B) 72 C) 56 D) 24 E) 81

Solution: IMO 'D' is the answer.   Matches will be in multiples of 5x+4. The answer that satisfies this condition is 24
Answer: D
The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?  Choose the correct answer.
A) 715	B) 469	C) 400	D) 750	E) 560

Solution: Let C.P be Rs. x900 - x = 2(x - 450)=> x = Rs.600 C.P = 600 gain required is 25% S.P = [(100+25)*600]/100 = Rs.750 Answer : 750
Answer: D
R campers fished for 7 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?	Choose the correct choice from the following.
A) 2m + n(R-m)  B) (2m + n(R-m))/3  C) (2m + n(m-R))/3  D) (2m + n)/7  E) (2m + n)/R

Solution: m of the campers caught 2 fish apiece in 7 hours --> total fish caught by m campers = 2m;   The rest caught a combined total of n fish.   Total fish caught in 7 hours = 2m+n --> per hour (2m+n)/7.   Answer: (2m + n)/7.
Answer: D
The number of multiples of 10 which are less than 1000, which can be written as a sum of four consecutive integers is
Choose the correct option:
A) 22	B) 50	C) 88	D) 76	E) 18

Solution: Answer: Option A   Sol:   We can write 10 = 1 + 2 + 3 + 4. So we have to find how many multiples of 10 can be written in this manner.   Let the first of the four numbers be n. So   n + (n+1) + (n+2) + (n+3) = 10k   4n + 6 = 10k   2n + 3  4  + 6= 
 4  + 6 = 10
10k   2n + 3 = 5k   n  2  + 3= 
 2  + 3 = 5
5k   n= 5k−325k−32 = 2k – 1 + k–12k–12   So n is intezer for k = an odd number. So for k = 1, 3, 5, .... 99 we can write a number as a sum of four consecutive intezers.   So there are 50 numbers.   Answer:50
Answer: B
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 14 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Choose the correct choice from the following answers.
A) 13
B) 13.5
C) 14
D) 14.5
E) 15

Solution: Ans is 15   Given d_ab = 2*d_bc   let d_ab = d and d_bc = x so d=2x   for average miles per gallon = (d+x)/((d/12)+(x/14)) = 15 (formula avg speed = total distance/ total time)
Answer: E
In how many ways a committee, Consisting of 2 men and 3 women can be formed from 8 men and 10 women?  Pick
A) 2660	B) 3360	C) 11760	D) 5040	E) 720

Solution: To choose Required number of ways to form a committee:   Select 2 men out of 8 men and 3 women out of 10 women.   That is 8C2 * 10C3.   8C2=8!/2!*6!=28   10C3=10!/3!*7!=120   The Required number of ways=28*120= 
28*120 = 3_360
3360   3360
Answer: B
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?	Choose the correct answer:
A) 111.12
B) 111.18
C) 111.15
D) 111.13
E) 191.18

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12nswer: 111.12
Answer: A
Vijay says that his weight is between 75kg and 85 kg. But his younger sister disagrees with Vijay and says that his weight is greater than 70kg but less than 80 kg. Vijay’s mother says that his weight cannot be greater than 78 kg. If all the three predictions are correct, what is the average of different probable weights of Vijay?	Choose the most appropriate option.
A) 76.5	B) 92.9	C) 82.3	D) 28.3	E) 28.1

Solution: Explanation:   Vijay’s opinion: - 75 < Vijay’s age < 85   Sister’s opinion: - 72 < Vijay’s age < 82   Mother’s opinion: - Vijay’s age < 78   As all the above three conditions are true, the values satisfying them are 76 & 77.   76.5verage value = (76 + 77)/ 2= 
(76 + 77)/ 2 = 153/2 = around 76.5
76.5   76.5NSWER: 76.5
Answer: A
In a bank 60 percent employees are men.80%men and 20%women belong to retirement plan.what percent of people belong to retirement plan?
Pick:	A) 55%	B) 57%	C) 56%	D) 58%	E) 59%

Solution: 60% employees are men thus 40% are women.   80% of 60 % men is 48% and 20% of 40% women is 8%. so total is  48+8= 
 48+8 = 56
56%.   Thus answer is 56%   ANSWER:56%.
Answer: C
A contractor isengaged for 30days on the condition that he receives Rs.25 for eachday he works & fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
Options:  A) 8  B) 10  C) 15  D) 17  E) 21

Solution: 30 * 25= 
30 * 25 = 750
750   425   -----------   325   25 + 7.50= 
25 + 7.50 = 32.5
32.5   325/32.5= 
325/32.5 = 10
10
Answer: B
On a dinner date, a couple is sitting around a circular table. Their seating arrangement is considered different only when the position of the couple is different relative to each other. what is the total number of possible seating arrangement for the couple?  Choose the correct choice from the following choices:
A) a.5	B) b.10	C) c.24	D) d.1	E) e.120

Solution: for 2 people seating arrangement around a circular table = (2-1)= 
(2-1) = 1
1!= 1   OA is d.1
Answer: D
What is the least number that should be added to 1076, so the sum of the number is divisible by 23?	Choose the correct choice from the following choices:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: (1076 / 23) gives a remainder 18 so we need to add 5.   The answer is 5.
Answer: E
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Choose the correct option:
A) 288 B) 277 C) 208 D) 860 E) 281

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer:860
Answer: D
Dick and Jane each saved $2,500 in 1989. In 1990 Dick saved 9 percent more than in 1989, and together he and Jane saved a total of $5200. Approximately what percent less did Jane save in 1990 than in 1989?	Pick:
A) 1%
B) 4%
C) 6%
D) 8%
E) 9%

Solution: 1990   Dick saved = $ 2725   Jane saved = $ 2475 (jane saved $25 less than she did the prior year)   Jane saved approximately $25/$2500 (1%) less in 1990   1%nswer: 1%
Answer: A
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?	Choose the correct choice from the following choices:
A) 8 : 9
B) 17 : 18
C) 21 : 22
D) 25 : 22
E) Cannot be determined

Solution: Explanation:   Originally, let the number of boys and girls in the college be 7x and 8x respectively.   Their increased number is (120% of 7x) and (110% of 8x).   =>(120/100 X 7X) and (110/100 x 8x)   The required ratio =(42x/5 :44x /5)=21:22.   ANSWER IS 21 : 22
Answer: C
A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?  Pick one
A) 1/3 B) 2/3 C) 3/7 D) 3/11 E) None

Solution: |X||X| can take 7 values.   To get |X|<2|X|<2 ( i.e., −2<x<+2−2<x   ⇒ P(|X|<2)= Favourable 3/7asesTotal 3/7asesP(|X|<2)= Favourable 3/7asesTotal 3/7ases   = 3/7   3/7
Answer: C
A certain sum amounts to Rs.2250 in 5 years and Rs.2550 in 7 years. Find the rate % per annum?	Answers.
A) 10%  B) 11%  C) 9%  D) 8%  E) 7%

Solution: 5 --- 2250   7 --- 2550   --------------   2 --- 300   N = 1 I = 150 R = ?   P = 2250 - 750= 
2250 - 750 = 1_500
1500   150= (1500*1*R)/100   R = 10%   10%nswer: 10%
Answer: A
Among 200 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?  Select.
A) 60
B) 90
C) 120
D) 172
E) 188

Solution: I would just like to add a bit of explanation after the step where you calculate that the number of students studying both M and S = 60   Using your analysis:   We see that the total number of students who study either Maths or Sociology = 88 + 112 - 60= 
88 + 112 - 60 = 140
140   So, in the image we know that the number of students in the zone with the black boundary= 140   Let's assume the number of students who studyonlybiology to beb(this is the number that we have to maximize)   60nd, let's assume the number of students who study none of the three subjects, that is the number of students in the white space =w   Since the total number of students = 200, we can write:   140 +b+w= 200   Or,b+w= 200 - 140= 
200 - 140 = 60
60   That is,b= 60 -w   So, the maximum value ofbwill happen forw= 0   This is how we get, the maximum value ofb= 60   60
Answer: A
In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 282, what is the smallest term in the sequence?  Choose the correct option.
A) 2  B) -2  C) 0  D) 8  E) 9

Solution: Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.   An = 282 + (40 - 1)*(-7)   An = 282 - 273= 
282 - 273 = 9
9   9
Answer: E
power windows: 60%
anti-lock brakes: 25%
CD player: 55%
The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?  Choose one:
A) 25
B) 18
C) 11
D) 3
E) 0

Solution: Answer:B   Were looking for the number of cars with a CD player but no other features. We know that 40% of the cars have a CD player, 15% have a CD player and anti-lock brakes, while 22% have a CD player and power windows. Since no car has all three features, those account for all of the possibilities except for what were looking for.   If a car has a CD player, it must either have anti-lock brakes, power windows, or no other features. Since the total of cars with a CD player is 55%, we can set up the following equation:   55=15+22+x   x=18, choice18.
Answer: B
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?	Choose the correct answer.
A) 34% B) 44% C) 54% D) 64% E) None of these

Solution: Explanation :   Let, the number be x.   According to the question, the error is :-   =>(5x/3)−(3x/5).   =>16x/5.   Hence, the percentage error is :-   =>16x/15 /5x/3∗100.   =>64%.   Answer : 64%
Answer: D
If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips?  Choose the correct choice from the following answers:
A) 1/8	B) 1/16	C) 1/32	D) 1/64	E) 1/128

Solution: P(HHHHTT) = 1/2*1/2*1/2*1/2*1/2*1/2 = 1/64   The answer is 1/64.
Answer: D
What is the least number of digits (including repetitions) needed to express 10^200 in decimal notation?	Choose the correct choice from the following:  A) a) 201  B) b) 100  C) c) 101  D) d) 1000  E) e) 1001

Solution: 10^n is a decimal number with a 1 followed by n zeros.   So 10^200 will include 200 0's + 1 digit for 1 = 201   So the answer is a) 201
Answer: A
00
a3
+4b
___
96
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?	Choices:	A) 43	B) 35	C) 45	D) 43	E) 46

Solution: 0+3+b=6   b=3   0+a+4=8   a=4   ab=43   ans=43
Answer: A
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?	Choose the correct choice:	A) 2 times	B) 2 1/2 times	C) 2 3/4 times	D) 3 times	E) 4 times

Solution: Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.   (4x + 8) = 5/2(x + 8)   8x + 16 = 5x + 40   3x = 24   x = 8.   Hence, required ratio = (4x + 16)/(x + 16)	= 48/24= 
48/24 = 2
2.   2 timesNSWER:2 times
Answer: A
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choose one.
A) 22 B) 77 C) 21 D) 77 E) 88

Solution: W21 = 2:1   2x + x = 1/7   x = 1/21 => 21 days   Answer: 21
Answer: C
A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred. Choose the correct option:	A) 1/6	B) 1/7	C) 1/8	D) 2/7	E) 2/11

Solution: The sample space has 216 outcomes.   Now X =   (1,1,4) (1,2,4) ... (1,6,4) (2,1,4) (2,2,4) ... (2,6,4)   (3,1,4) (3,2,4) ... (3,6,4) (4,1,4) (4,2,4) ...(4,6,4)   (5,1,4) (5,2,4) ... (5,6,4) (6,1,4) (6,2,4) ...(6,5,4) (6,6,4)   Y = {(6,5,1), (6,5,2), (6,5,3), (6,5,4), (6,5,5), (6,5,6)}   and X n Y = {(6,5,4)}.   Now P(Y) = 6/216   and P (X n Y) = 1/216   Then P(X|Y) = (1/216)/(6/216) = 1/6.   1/6
Answer: A
Yesterday it took Robert 6 hours to drive from City A to City B. Today it took Robert 4.5 hours to drive back from City В to City A along the same route. If he had saved 30 minutes in both trips, the speed for the round trip would be 90 miles per hour. What is the distance between city A and city B?
Choose the correct choice from the following answers:  A) 90  B) 120  C) 150  D) 440  E) 430

Solution: 2d/90 = 9.5 ( because time = 6 + 4.5 - 1 hrs)   => d = 430   Answer - 430
Answer: E
What annual installment will discharge a debt of Rs. 1092 due in 3 years at 12% simple interest?
Select the correct option
A) 315	B) 345	C) 325	D) 335	E) None of them

Solution: Let each Installment be Rs. x   Then, ( x+ ((x*12*1)/100)) + (x+ ((x*12*2)/100) ) + x = 1092   =((28x/25) + (31x/25) + x) = 1092  (28x+31x+25x)=(1092*25)   x= (1092*25)/84 = Rs.325.   Therefore,	Each installment = Rs. 325.   Answer is 325.
Answer: C
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $580. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $800. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?	Pick.
A) $10.50	B) $12.50	C) $11.50	D) $16.50	E) $9.50

Solution: Let X be pair of shoes and Y be pair of boots.   22x+16y = 580 ... eq1   8x +32y = 800....eq 2.   Now multiply eq 1 by 2 and sub eq 2.   44x = 1160   8x = 800.   36x = 360 => x = 10.   Sub x in eq 2.... we get 80 + 32y = 800... then we get 32y = 720 then y = 22.50   Differenece between X and Y is 12.50   Answer : $12.50
Answer: B
20% of a number is added to 120, the result is the same number. Find the number?
Choose the correct choice from the following answers:
A) 300	B) 288	C) 270	D) 129	E) 150

Solution: (20/100) * X + 120 = X   x+600 = 5x   4x= 600   x= 150   Answer : 150
Answer: E
P has $32 more than what Q and R together would have had if both B and C had 1/6 of what P has. How much does P have?  Pick one.
A) $44
B) $48
C) $52
D) $56
E) $60

Solution: P = (2/6)*P+32   (4/6)*P=32   P=48   The answer is $48.
Answer: B
What is the difference between the place value and face value of 3 in the numeral 1375?
Choose the correct answer.
A) 280  B) 290  C) 297  D) 333  E) 340

Solution: place value of 3 = 3 * 100= 
3 * 100 = 300
300   face value of 3= 3   300 - 3= 
300 - 3 = 297
297   297)
Answer: C
The sum of two numbers is 12 and the product of the numbers is 35. Find sum of the squares of that numbers.
Choose the most appropriate option:  A) 84  B) 87  C) 96  D) 79  E) 74

Solution: Let a and b be the two numbers(a+b)^2=a^2+2ab+b^2Given (a+b)=12ab=35So, 12^2=a^2+b^2+2*35144=a^2+b^2+70a^2+b^2=74Ans 74
Answer: E
What least number must be subtracted from 3832 so that the remaining number is divisible by 5?	Choose the correct choice from the following
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: On dividing 3832 by 5, we get remainder = 2.   Required number be subtracted = 2   ANSWER:2
Answer: B
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?  Pick one
A) 635.5	B) 635.57	C) 635.512	D) 635.51	E) 635.53

Solution: 4000   200 ---- I   200   10 ---- II   ---------------   4410   2210   --------   2000   110 ---- III   110   5.50 ---- IV   -----------   2425.50   2210   -----------   4635.50   4000   ----------   635.50   635.5nswer: 635.5
Answer: A
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choose the correct choice from the following answers
A) No profit, no loss	B) 5%	C) 8%	D) 10%	E) 14%

Solution: C.P. of 56 kg rice=Rs.(26x20 + 30x36)= Rs.(520 + 1080)=Rs. 1600.   S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.   Gain =(80/1600)	x 100	% = 5%.   answer :5%
Answer: B
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?	Options
A) 76 minutes  B) 29 minutes  C) 70 minutes  D) 17 minutes  E) 98 minutes

Solution: 1/20 - 1/28 = 1/70   70 minutes   Answer: 70 minutes
Answer: C
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 2/5, what is the probability that Taylor makes exactly one basket in three tries?
Choose one.
A) 36/125  B) 36/120  C) 30/125  D) 30/140  E) 36/140

Solution: Probability of basket = 3/5   Probability of no basket = 2/5   Required probability=3* 3/5*2/5*2/5   =36/125   36/125 is the answer .
Answer: A
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 9 € (4 € 5) = Choose the correct answer:
A) 80 B) 720 C) 760 D) 840 E) 860

Solution: working inside out,   (4 € 5) = 2*4*5= 
2*4*5 = 40
40   9 € 40= 2*9*40= 
2*9*40 = 720
720   Hence, answer is 720
Answer: B
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
Choose the correct option:
A) 100/17%	B) 100/23%	C) 100/19%	D) 100/4%	E) None of these

Solution: Explanation:   (100 + g) / (100 + x) = True measure / Faulty measure   x = 0   true measure = 1000   faulty measure = 800   100 + g / 100 + 0 = 1000 / 800   100+g = 5/4*100   g = 100/4 %   ANSWER: 100/4%
Answer: D
An advertising agency finds that, of its 150 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?  Choose the most appropriate option
A) 56 B) 70 C) 50 D) 98 E) 95

Solution: Total=150   Television=115   Radio=110   Magazine=130   All the three =150-115-110-130+85+75+95= 
150-115-110-130+85+75+95 = 50
50   ANSWER 50
Answer: C
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?  Choose the correct choice from the following answers:
A) 196
B) 400
C) 441
D) 484
E) 900

Solution: 441 = 3^2*7^2 so it can not be the square of an even number multiplied by an odd number.   The answer is 441.
Answer: C