MU-NLPC/Calc-aqua_rat huggingface dataset:
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Pick one:
A) 45
B) 60
C) 75
D) 90
E) 100

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   Answer: Option 90
Answer: D
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?  Choose the correct choice from the following choices.
A) 3
B) 5
C) 6
D) 8
E) 9

Solution: Work done by X in 1 day = 1/18   Work done by Y in 1 day = 1/15   Work done by Y in 10 days = 10/15 = 2/3   Remaining work = 1 – 2/3 = 1/3   Number of days in which X can finish the remaining work = (1/3) / (1/18)= 
(1/3) / (1/18) = 6
6   6
Answer: C
In traveling from a dormitory to a certain city, a student went 1/3 of the way by foot, 3/5 of the way by bus, and the remaining 2 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?	Options
A) 30
B) 45
C) 60
D) 90
E) 120

Solution: Whole trip = distance by foot + distance by bus + distance by car   x = 1/3x + 3/5x + 2   x - 1/3x - 3/5x = 2   x = 30km   Option: 30
Answer: A
In measuring the sides of a rectangle, one side is taken 6% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.  Pick one.
A) 3.5%	B) 2.4%	C) 3%	D) 5%	E) 0.7%

Solution: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.   Now, the area obtained with wrong measurements would be 106*95=10,070, which is 0.7% greater than the actual area.   Answer: 0.7%.
Answer: E
The number of new words that can be formed by rearranging the letters of the word 'goat' is? Choose one:  A) 24  B) 25  C) 4  D) 23  E) 1

Solution: Number of words which can be formed   = 4! - 1 = 24 - 1= 
24 - 1 = 23
23.   Answer:23
Answer: D
The product of two numbers is 168 and the sum of their squares is 289. The sum of the number is?	Pick one
A) A)23
B) B)25
C) C)27
D) D)31
E) E)35

Solution: Let the numbers be x and y.   Then, xy = 168 and x2 + y2 = 289.   (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 168) = 625   x + y = 25.   Option 25
Answer: B
Avg cost of 2 cakes and 3 cookies is Rs.30.The avg cost of 5 cakes and 7 cookies is Rs.72. Find the total cost of 30 cakes and 30 cookies?  Choose the correct answer
A) 190 B) 160 C) 130 D) 200 E) 180

Solution: Avg cost of 2 cakes and 3 cookies is Rs. 30   (2 cake + 3 cookies) 5=30   therefore 1 cake cost is   30/5= 
  30/5 = 6
6, so 2 cake cost is 2x6=12 and 3 cookies cost is 3x6=18   Again, avg cost of 5 cakes and 7 cookies is Rs.72   (5 cake + 7 cookies) 12=72   therefore 1 cake cost is   72/12= 
  72/12 = 6
6, so 5 cake cost is 5x6=30 and 7 cookies cost is 7x6=42   So 30 cake cost is (30/a)=180 and 30 cookies cost is (30x6)=180   ANSW180R:180
Answer: E
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?	Choose the correct option:  A) 384  B) 656  C) 443  D) 324  E) 534

Solution: 384verage mark scored by all the three boys =   [64/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 384   384nswer:384
Answer: A
A+1/(B+1/(C+1/(D+1/E)))=1331/1000
what is the value of A*B*C*D*E ?
Choices: A) 841 B) 842 C) 843 D) 844 E) 846

Solution: A+1/(B+1/(C+1/(D+1/846)))=1331/1000 = 1 + 331/1000 => A = 1   1/(B+1/(C+1/(D+1/846))) = 331/1000   or, B+1/(C+1/(D+1/846)) = 1000/331 = 3 + 7/331 => B = 3   1/(C+1/(D+1/846)) = 7/331   => C+1/(D+1/846) = 331/7 = 47 + 2/7 => C = 47   1/(D+1/846) = 2/7   => D + 1/846 = 7/2 = 3 + 1/2 =>> D = 3, 846 = 2   finally,   A=1   B=3   C=47   D=3   846=2   A*B*C*D*846 = 1*3*47*3*2= 
1*3*47*3*2 = 846
846   ANSW846R:846
Answer: E
In Solution P, the proportion of water to alcohol is 5:2. In Solution Q, the proportion of water to alcohol is 3:2. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?	Select the correct option:
A) 25%  B) 28%  C) 31%  D) 34%  E) 37%

Solution: Let V be the total volume of the new solution.   The amount of alcohol added from Solution P is (2/7)*V/2=(1/7)*V   The amount of alcohol added from Solution Q is (2/5)*V/2=(1/5)*V   The total amount of alcohol in the new solution is (1/7+1/5)*V=(12/35)*V   The alcohol concentration is 12/35=34% (approximately)   The answer is 34%.
Answer: D
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 38 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 42 km/h. If the distance between City P and City Q is 378 km, at what time will the truck and the car meet each other?  Choose one
A) 5:30	B) 5:45	C) 6:00	D) 6:15	E) 6:30

Solution: At 2:00 pm, the truck and the car are 340 km apart.   The truck and the car complete a distance of 80 km each hour.   The time it takes to meet is   340/80= 
  340/80 = 17/4 = around 4.25
4.25 hours.   They will meet at 6:15 pm.   The answer is 6:15.
Answer: D
If 5a= 3125, then the value of 5(a-3) is
Choose the correct choice from the following options
A) 25 B) 50 C) 250 D) 300 E) None

Solution: Sol.   5a = 3125 = 5a = 55   a = 5.   5(1-3) = 5(5-3) = 5(2) = 25.   25nswer 25
Answer: A
Find the ratio in which rice at Rs. 7.00 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg  Select:	A) 6:7	B) 2:3	C) 2:1	D) 2:2	E) 2:8

Solution: By the rule of alligation:   Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind   Required ratio = 60 : 70 = 6 : 7   6:7nswer: 6:7
Answer: A
How many numbers greater than a thousand can be made using the following digits without repetition: 1, 0, 3, 4, and 5:	Choose one:
A) 96^2
B) 96*2 IS ANSWER
C) 576
D) 24^2
E) 24*96

Solution: We have 5 digits: {0, 1, 3, 4, 5}   We can have 4-digit OR 5-digit numbers greater than 1,000.   # of 4-digit numbers greater than 1,000 = 4*4*3*2= 
4*4*3*2 = 96
96. The first digit can take 4 values: 1, 3, 4, or 5. So, any value but 0, since in this case a number will no longer be a 4-digit and becomes 3-digit. The second digit can take 4 values (5 values minus 1 we already used for the first digit), ...   # of 5-digit numbers greater than 1,000= 4*4*3*2*1= 
4*4*3*2*1 = 96
96.   Total: 96+96=2*96.   Answer: 96*2 IS ANSWER.
Answer: B
Which of the following equations represents a line that is perpendicular to y=1/3*x+2? Choose the correct choice from the following choices
A) y−2x=8  B) 2x+4y=10  C) 3y+6x=12  D) 4y−8x=16  E) 5x−10y=20

Solution: For two lines to be perpendicular, the product of slopes should be equal to -1.   Slope of line 1 = 1/2   Slope of the line perpendicular to line 1 must be -2. Option C can be rewritten as y = -2x + 4 --> Slope = -2   Answer: 4y−8x=16
Answer: D
What is the remainder when 2676 * 1487 * 4459 is divided by 12	Choose the most appropriate option:
A) 3
B) 8
C) 12
D) 9
E) 27

Solution: 2679/12==> Remainder=3   1487/12==> Remainder=11   4459/12==> Remainder=7   =3*11*7= 
3*11*7 = 231
231/12==> Remainder=3   3nswer: 3
Answer: A
Walking at 4/5 of his usual speed a man is 10 mins too late. find his usual time.  Choose the correct answer
A) 81 mins	B) 64 mins	C) 52 mins	D) 40 mins	E) None

Solution: speed=s,time=t,   4/5s*(t+10)=st   t=40   ANSWER:40 mins
Answer: D
If P represents the product of the first 12 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 26
III. P is a multiple of 17 Select the correct option:	A) I only	B) II only	C) III only	D) None of the above	E) All of the above

Solution: Answer = II only) II only
Answer: B
There are 7 stores in town that had a total of 21 visitors on a particular day. However, only 11 people went shopping that day; some people visited more than one store. If 7 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited? Choose the correct choice from the following answers:	A) 6	B) 8	C) 4	D) 9	E) 2

Solution: 7 people visited 2 stores each for 14 visits.   To maximize the number of stores that one person visited, let's assume that 3 people visited 1 store each. The number of remaining visits is   21 - 14 - 3= 
  21 - 14 - 3 = 4
4, which is the maximum that one person could have visited.   The answer is 4.
Answer: C
A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest? Choose the correct answer.
A) 28% B) 12% C) 72% D) 82% E) 13%

Solution: Let the interest for one year be x.   As amount = Principal + Interest, we have   P + 4x = 20720 --- (1) ; P + 6x = 24080 --- (2)   Solving the equations (1) and (2), we can get   P = Rs. 14000 and x = Rs. 1680   Interest for one year on Rs. 14000 is Rs. 1680   So, R = (100 * 1680)/(14000 * 1)= 
(100 * 1680)/(14000 * 1) = 12
12% p.a.   Answer:12%
Answer: B
A certain car uses one gallon of gasoline every 40 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?	Choose the correct choice
A) 15% B) 20% C) 22.5% D) 25% E) 50%

Solution: 4 miles on the highway = 4/40 gallons;   4 miles in the city = 4/20 gallons;   Total = 4/40 + 4/20 = 3/10 gallons.   8 miles on the highway = 8/40 gallons .   The % change = (3/10 - 8/40)/(8/40) = 1/2 = 0.50.   Answer: 50%.
Answer: E
The ratio of two quantities is 5 to 6. If each of the quantities is increased by 2, what is the ratio of these two new quantities? Choose the correct choice from the following options:
A) It cannot be determined from the information given.	B) 5/14	C) 6/15	D) 7/16	E) 8/17

Solution: let the actual ratio be 5k/6k, increase numerator and denominator by 2=> 5k+2/6k+2   Until the value of k is unknown we can not determine the actual ratio.   OR   let the actual be 3/4. After increasing 2 => 5/6   let the actual be 6/8. After increasing 2 => 8/10   Therefore without actual quantities we cannot determine the actual ratio.   It cannot be determined from the information given.nswer : It cannot be determined from the information given.
Answer: A
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? Choose one: A) 22 B) 28 C) 40 D) 27 E) 12

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds.   Answer: 40:
Answer: C
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles? Choose the correct choice from the following choices
A) 2312 sq m	B) 2871 sq m	C) 4312 sq m	D) 1566 sq m	E) 7177 sq m

Solution: Let the radii of the smaller and the larger circles be s m and l m respectively.   2∏s = 264 and 2∏l = 352   s = 264/2∏ and l = 352/2∏   Difference between the areas = ∏l2 - ∏s2   = ∏{1762/∏2 - 1322/∏2}   = 1762/∏ - 1322/∏   = (176 - 132)(176 + 132)/∏   = (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m   Answer:4312 sq m
Answer: C
A company D has 30 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?  Pick:
A) 200
B) 162
C) 180
D) 152
E) 250

Solution: Let the total number of employees in the company be x   % of secretaries = 30%   % of salespeople = 45%   % of of employees other than secretaries and salespeople = 100 - 75= 
100 - 75 = 25
25%   But this number is given as 50   so 25% of x= 50   x = 200   Therefore there a total of 200 employees in the company D   Correct answer - 200
Answer: A
Which of the following numbers has only one prime factor?  Pick: A) 16 B) 19 C) 22 D) 30 E) 32

Solution: 16=2^4   19=19   22=2*11   30=2*3*5   32=2^5   19 has 1 distinct prime factor   Answer 19
Answer: B
The average (arithmetic mean) of seven numbers is 12.2
If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
Choose the correct choice:
A) (a) 12.4
B) (b) 14.2
C) (c) 16.8
D) (d) 18.6
E) (e) 19.2

Solution: We're told that the average of 7 numbers is 12.2   (Sum of numbers)/7 = 12.2   Sum of numbers = (12.2)(7) = 85.4   Next, we're told that the sum of 4 (of the 7) numbers is 42.8   From this information, we can calculate the sum of the OTHER 3 numbers:   85.4 - 42.8= 
85.4 - 42.8 = 42.6
42.6   The question asks for the AVERAGE of the OTHER 3 numbers....   42.6/3= 
42.6/3 = 14.2
14.2   (b) 14.2
Answer: B
The average of ten numbers is 7. If each number is multiplied by 12 ,then the average of new set of numbers is :	Choose one:
A) 22	B) 29	C) 27	D) 84	E) 19

Solution: The avg will be = 12×7= 84   Answer:	84
Answer: D
The prices of tea and coffee per kg were the same in May. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?	Choices:
A) 50  B) 45  C) 40  D) 32  E) 28

Solution: Let the price of tea and coffee be x per kg in June.   Price of tea in July = 1.2x   Price of coffee in July = 0.8x .   In July the price of 1/2 kg (500gm) of tea and 1/2 kg (500gm) of coffee (equal quantities) = 50   1.2x(1/2) + 0.8x(1/2) = 50   => x =50   50
Answer: A
How many prime factors in 25^10 * 36^10 * 20^10 ? Select the correct option: A) 90 B) 80 C) 70 D) 60 E) 50

Solution: 25^10 * 36^10 * 20^10   =(5*5)^10 * (2*2*3*3)^10 * (2*2*5)^10   =(5^10 * 5^10) * (2^10 * 2^10 * 3^10 * 3^10) * (2^10 * 2^10 * 5^10)   =5^30 * 2^40 * 3^20   number of distinct prime factors = 3   number of prime factors = 30+40+20= 
30+40+20 = 90
90 90NSWER:90
Answer: A
Two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph. In what time will they cross each other completely?	Choose the most appropriate option:
A) 7.8 sec
B) 8.1 sec
C) 8.3 sec
D) 8.2 sec
E) 8.4 sec

Solution: D = 180m + 180m = 360m * 1/1000 180  + 180= 
180  + 180 = 360
360m * 1/1000 = 0.36 kms   RS 360  * 1/1000= 
360  * 1/1000 = 9/25 = around 0.36
0.36 kms   RS= 80 + 80= 
80 + 80 = 160
160 kmph   T= (0.36/160) * 3600= 
(0.36/160) * 3600 = 8.1
8.1 sec   ANSWER:8.1 sec
Answer: B
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 20 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera? Pick one: A) $222 B) $209 C) $211 D) $220 E) $215

Solution: Final price = (1+20/100) * Original Price   = 1.20 * Original Price   From options given only 222 is divisible by 1.20 as it is stated OP is whole dollar amount.   Hence $222
Answer: A
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Choose the correct option.
A) 66 3/3%
B) 16 2/3%
C) 16 4/3%
D) 76 2/3%
E) 66 2/3%

Solution: Explanation:   10 16 4/3%P = 12 SP   12 --- 2 16 4/3%P loss   100 --- ? => 16 2/3%   Answer: 16 4/3%
Answer: C
Dean Winchester has got a long wooden stock of size 60 feet, he need to cut small stock of size 1 feet long using his axe.
He takes 5 minutes to cut one small stock (1 feet), how long will he take to make 60 such small stocks? Choose the correct option:
A) 296 minutes. B) 297 minutes. C) 295 minutes. D) 294 minutes. E) None

Solution: Solution:   295 minutes.   When he cut 59 stocks, the 60th stock will remain.   59 * 5= 
59 * 5 = 295
295 minutes.   Answer 295 minutes.
Answer: C
If each edge of cube increased by 20%, the percentage increase in  Choices:
A) 42
B) 44
C) 48
D) 45
E) 47

Solution: 100 × (120)/100 × (120)/100 = 144 => 44%   Answer is 44.
Answer: B
A total of 550 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
Choose the correct choice from the following:  A) 511  B) 512  C) 549  D) 255  E) 1023

Solution: There are 550 players, only 1 person wins, 549 players lose. in order to lose, you must have lost a game.   549 games.   Ans- 549
Answer: C
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(11.6) + E(–10.4) + o(–9.2) + e(9.5) is:  Choose the correct choice from the following options: A) -3 B) -1 C) 0 D) 1 E) 3

Solution: O(11.6) + E(–10.4) + o(–9.2) + e(9.5) = 13 + (-10) + (-11) + 8= 
13 + (-10) + (-11) + 8 = 0
0   The answer is 0.
Answer: C
After M students took a test, the average score was 66%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 68%?	Choose the correct answer:
A) 2M-34
B) M+34
C) 0.66M+0.68
D) 0.33M+34
E) 3M-33

Solution: The total number of correct answers for M students is (0.66)*50*M=33*M   For an average of 68%: (total correct answers) / (M+1) = 0.68*50= 
0.68*50 = 34
34   Let x be the number of correct answers for the next student.   (x + 33M) / M+1= 34   x + 33M= 34M+34   x = M + 34   The answer is M+34.
Answer: B
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 25% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 135 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?	Pick.
A) 10 B) 20 C) 30 D) 40 E) 80

Solution: No of people from 10 - 11 is x   No of people from 11 - 12 is 3x/4   No of people from 12 to 1 is (5/4)(3x/4)   Given that 3x/4 + (5/4)(3x/4) = 27x/16 = 135   Then x = 80   80
Answer: E
Express a speed of 54 kmph in meters per second? Choose the correct option
A) 10 mps
B) 18 mps
C) 15 mps
D) 17 mps
E) 12 mps

Solution: 54 * 5/18= 
54 * 5/18 = 15
15 mps   Answer:15 mps
Answer: C
A completes a work in 10 days and B complete the same work in 15 days. If both of them work together, then the number of days required to complete the work will be	Answers
A) 6 days B) 9 days C) 10 days D) 12 days E) 13 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 10 × 15/ 25= 6 days.   6 daysnswer : 6 days
Answer: A
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Select the correct option
A) 28 B) 49 C) 88 D) 22 E) 12

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 ==> x   = 49 km/hr.Answer:49
Answer: B
Four people each roll a four die once. Find the probability that at least two people will roll the same number ?	Choose the most appropriate option.
A) 13/18 B) 13/17 C) 13/11 D) 13/19 E) 13/12

Solution: The number of ways of rolling a dice where no two numbers probability that no one rolls the same number = 6 x 5 x 4 x 3   Now total possibilities of rolling a dice = 6464   The probability that a no one gets the same number = 6×5×4×364=5186×5×4×364=518   So the probability that at least two people gets same number = 1−5/18=13/18   13/18nswer:13/18
Answer: A
In a consumer survey, 80% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Select:  A) 5  B) 10  C) 15  D) 20  E) 25

Solution: pick 100 and x= all set with exactly two items   80=30+50+20 -(X)-10   X=10   so the answer is 10+5/100= 15%   answer 15
Answer: C
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?	Pick.
A) 27	B) 33	C) 55	D) 77	E) 88

Solution: Let f = pure fuji , g = pure gala and c - cross pollinated.   c = 10% of x where x is total trees.   c = .1x   also 3x/4 = f and c+f = 153 => .1x + 3/4x = 153 => x = 180   180 - 153 = pure gala = 27.   27nswer 27
Answer: A
If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 1 = ?	Choose the correct choice.
A) 2	B) 4	C) 8	D) 16	E) 32

Solution: 3 Ø 1 = 2^3/2^1 = 4   4 Ø 1 = 2^4/2 = 8   The answer is 8.
Answer: C
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.	Choose the correct choice from the following:
A) 87.8% B) 87.9% C) 37.8% D) 87.7% E) 22.8%

Solution: otal number of fruits shopkeeper bought = 600 + 400= 
600 + 400 = 1_000
1000   Number of rotten oranges= 15% of 600   = 15/100 × 600   = 9000/100= 
9000/100 = 90
90   Number of rotten bananas= 8% of 400   = 8/100 × 400   = 3200/100= 
3200/100 = 32
32   Therefore, total number of rotten fruits= 90 + 32= 
90 + 32 = 122
122   Therefore Number of fruits in good condition= 1000 - 122= 
1000 - 122 = 878
878   Therefore Percentage of fruits in good condition= (878/1000 × 100)%   = (87800/1000)= 
(87800/1000) = 439/5 = around 87.8
87.8%   87.8%nswer:87.8%
Answer: A
A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ? Choose the correct choice
A) 50 m  B) 18 m  C) 96 m  D) 23 m  E) 13 m

Solution: Soln:Clearly, A beats B by 10 sec.   Distance covered by B in 10 sec. = (1000 x 10 )/200m = 50 m.   Therefore A beats B by 50 metres.   Option 50 m
Answer: A
Michael earns $7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $320 last week, how many hours did he work? Answers.
A) 43 B) 44 C) 45 D) 46 E) 47

Solution: $7*40 + $12*x = $320 --> x = 3 hours.   Total working hours = 40 + 3= 
40 + 3 = 43
43.   43nswer: 43.
Answer: A
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Johanna, Jamal, Brianna, and Dyson get lockers with the numbers 300, 400, 150, and 420, respectively, who is the most popular student?
Choose the correct choice.
A) Johanna	B) Jamal	C) Brianna	D) Dyson	E) They have equal popularity

Solution: Distinct prime factors of 300 (Johanna) : 3, 2 5   Distinct prime factors of 400 (Jamal): 2 and 5.   Distinct prime factors of 150 (Brianna): 2,3, and 5   Distinct prime factors of 420 (Dyson): 2,3,5 and 7.   So most popular student - Dysonyson   Answer Dyson
Answer: D
The distance light travels in one year is approximately 5,870,000,000,000 miles. Find the distance light travels in 100 years?  Pick.
A) 587 × 108 miles	B) 587 × 10-12 miles	C) 587 × 1010 miles	D) 587 × 10-10 miles	E) 587 × 1012 miles

Solution: The distance of the light travels in 100 years is:   5,870,000,000,000 × 100 miles.   = 587,000,000,000,000 miles.   = 587 × 1012 miles.   Answer is 587 × 10-12 miles.
Answer: B
If an object travels at ten feet per second, how many feet does it travel in one hour?	Pick:
A) 30	B) 300	C) 720	D) 1800	E) 36000

Solution: Speed = 10 feet per second.   1 Hour= 60X60 Seconds = 3600 Seconds.   Total no of feet traveled in 1 hour = 3600X10 = 36000   Answer 36000
Answer: E