MU-NLPC/Calc-aqua_rat huggingface dataset:
A sum of 1200 lent at S.I at 10% will become twice in how many years?	Choose the correct choice from the following answers
A) 12 years  B) 14 years  C) 10 years  D) 8 years  E) 7 years

Solution: Explanation:   To become twice means S.I should be as much as initial sum i.e, 1200   (1200 x 10 x T)/100 = 1200   T = 10 years   Answer: Option 10 years
Answer: C
The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount.The rate percent is
Options:
A) 11% B) 10% C) 5% D) 5.5% E) 6%

Solution: Solution   Let T.D be Rs 1.Then, B.D	=Rs.11 / 10   = Rs.1.10.   Sum	=Rs.(1.10 x 1/ 1.10-1)   = Rs.(110 / 10)   = Rs. 11.   S.I on Rs.11 for 2 years is Rs.1.10.   Rate	=(100 x 1.10 / 11 x 2)%   = 5%   Answer 5%
Answer: C
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?	Pick one:
A) 1797
B) 2970
C) 2782
D) 4200
E) 2081

Solution: 15:25 => 3:5   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*3/8= 
8640*3/8 = 3_240
3240 + 960= 
3240 + 960 = 4_200
4200   Answer:4200
Answer: D
A certain bacteria colony doubles in size every day for 20 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choose the correct choice:
A) 6.33
B) 7.5
C) 10
D) 15
E) 19

Solution: simultaneous grow = same amount of time   In 20 days we should expect to have P(2)^20   So if we have two things doing the job of getting us there then;   2^x + 2^x = 20   2(2)^x=2   2^(x+1)=2^20   x+1 = 20   x = 19;   ANSW19R:19
Answer: E
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction E of the selected films are in color? Choose the correct choice from the following choices
A) 1/130	B) 1/5	C) 3/13	D) 10/13	E) 30/31

Solution: It's y/xpercentnot y/x.   If x=20 and y=10. Then:   20x=400 black-and-white films;   6y=60 color films.   y/x%=10/20= 
10/20 = 1/2 = around 0.5
0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.   Color films thus compose E=60/62=30/31 of the selected films.   Answer: 30/31.
Answer: E
A teacher will pick a group of 3 students from a group of 7 students that includes Bart and Lisa. If one of all the possible 3-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa?  Choose the correct choice from the following:
A) 1/7 B) 3/14 C) 1/4 D) 1/3 E) 3/7

Solution: Probability = Favorable Outcomes / Total Outcomes   Total Outcomes= Total No. of ways of Picking Group of 3 out of 7 = 7C3 = 7! / (4! * 3!) = 35   Favorable Outcomes= Total No. of ways of Picking Group of 3 out of 7 such that B and L are always in the group (i.e. we only have to pick remaining two out of remaining 5 as B and L must be there is group) = 5C1 = 5   Hence,Probability=5/35=1/7   1/7nswer: Option 1/7
Answer: A
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is :
Choices: A) 45 runs B) 46 runs C) 48 runs D) 49 runs E) 47 runs

Solution: 10(x-8) + 108 = 11x , x = 48 . This is the shortest way   or   10*6= 
10*6 = 60
60 runs for 10 innings and 108 in 11th innings then  108-60= 
 108-60 = 48
48 runs   ANSWER:48 runs
Answer: C
A thief is spotted by a policeman from a distance of 175 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choose the correct answer
A) 350m  B) 200m  C) 400m  D) 700m  E) None of them

Solution: Relative speed of the policeman = (10-8) km/hr =2 km/hr.   Time taken by police man to cover   (175m/1000) x 1/2 hr = 7/80hr.   In 7/80 hrs, the thief covers a distance of 8 x 7/80 km = 7/10 km = 700 m   Answer is 700m.
Answer: D
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choose the correct option
A) 1100 B) 1200 C) 1349 D) 1430 E) 1340

Solution: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.   First + second = third => we can eliminate 3 & 9 since  3 + 9= 
 3 + 9 = 12
12.   Last is 3 times the second=> we can eliminate option 2 & 6 since  3 * 6= 
 3 * 6 = 18
18.   Hence the number is 1349   1349
Answer: C
Consider the set (0.34,0.304,0.034,0.43) The sum of the smallest and largest numbers
in the set is  Choose the correct choice:
A) 0.77 B) 0.734 C) 0.077 D) 0.464 E) 0.338

Solution: Since each of the numbers in the set is between 0 and 1, then the tenths digit of each number   contributes more to its value than any of its other digits.   The largest tenths digit of the given numbers is 4, and so 0.43 is the largest number in the set.   The smallest tenths digit of the given numbers is 0, so 0.034 is the smallest number in the set.   Therefore, the sum of the smallest number in the set and the largest number in the set is    0.034 + 0.43= 
 0.034 + 0.43 = 0.464
0.464   correct answer 0.464
Answer: D
If the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
Pick.
A) 286 m	B) 899 m	C) 300 m	D) 166 m	E) 187 m

Solution: 2(l + 100) = 800 => l   = 300 m   Answer: 300 m
Answer: C
Bill has 75 cents in his pocket. He walks up to a food stand and asks how much for a hot dog. The vendor just raised the price of his hot dogs by 10% but believes Bill is down on his luck and so he sells the hot dog to Bill for 75 cents which is exactly 75% of his new price for hot dogs. What is the difference in the new price of hot dogs and the price the vendor sold a hot dog to Bill for?  Options.
A) 8.5%
B) 17.5%
C) 12.5%
D) 14.5%
E) 15.0%

Solution: Quantity X Rate = Price   1 X 1 = 1   0.75 X 1.10 = 0.825   Decrease in price = (0.175/1) Ã— 100 = 17.5%   Answer = Option 17.5%
Answer: B
Lake A has a duck population of 30 females and 30 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?	Choose the correct choice:
A) 144	B) 105	C) 78	D) 72	E) 36

Solution: Lake A has a duck population of 30 females and 36 males --> the ratio is F:M = 30:30 = 1:1.   Lake B’s duck population consists of the same ratio of females to males --> F:M = 1:1.   72
Answer: D
If n is a prime number greater than 4, what is the remainder when n^2 is divided by 12?  Choose the correct answer:
A) 0	B) 2	C) 1	D) 3	E) 5

Solution: There are several algebraic ways to solve this question including the one under the spoiler. But the easiest way is as follows:since we can not have two correct answersjust pick a prime greater than 4, square it and see what would be the remainder upon division of it by 12.   n=7 --> n^2=49 --> remainder upon division 49 by 12 is 1.   Answer: 1.
Answer: C
A,B and C started a business by investing Rs.800/- , Rs.1,000/- and Rs.1,200/- respectively for two years.
Total profit is Rs.1000/-. Find the C's share? Choose the most appropriate option
A) Rs. 600
B) Rs. 500
C) Rs. 400
D) Rs. 800
E) Rs. 900

Solution: Solution: A : B : C = (800 * 2) : (1,000 * 2) : (12,000 * 2) = 4 : 5 : 6.   So C's share = Rs. (1000 * 6/15) = Rs. 400.   Answer: Option Rs. 400
Answer: C
The length of a train and that of a platform are equal. If with a speed of 72 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Answers:
A) 600 B) 758 C) 718 D) 750 E) 738

Solution: Speed = [72 * 5/18] m/sec = 20 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 20 è x = 20 * 60 / 2= 
20 * 60 / 2 = 600
600   600nswer:600
Answer: A
Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in x weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?
Answers:	A) 3 and 1/3 weeks	B) 3 weeks	C) 2 and 1/2 weeks	D) 2 and 1/3 weeks	E) 2 weeks

Solution: VERITAS PREPOFFICIAL SOLUTION:   Now, while your instinct may be to Go! and speed through your initial read of this rate problem, remember: slow motion (is) better than no motion. As you read each sentence, you should start jotting down variables and relationships so that by the time you get to the question mark you have actionable math on your noteboard and you don’t have to read the question all over again to get started. You should be thinking:   Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks.   Rate (K) = 1 album / 5 weeks   Working at his own constant rate, Common can drop a full-length platinum LP in x weeks.   Rate (C) = 1 album / x weeks   If the two emcees work together…   I’m adding these rates, so their combined rate is 1/5 + 1/x   …they can drop a full-length platinum compilation LP in 2 weeks.   And they’re giving me the combined rate of 1 album / 2 weeks, so 1/5 + 1/x = 1/2   Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?   I’m using that equation to solve for Common’s time, so I’m solving for x.   Now by this point, that slow motion has paid off – your equation is set, your variable is assigned, and you know what you’ve solving for. Your job is to solve for x, so:   1/5 + 1/x = 1/2, so let’s get the x term on its own:   1/x = 1/2 – 1/5. and we can combine the two numeric terms by finding a common denominator of 10:   1/x = 5/10 – 2/10   1/x = 3/10, and from here you have options but let’s cross multiply:   10 = 3x, so divide both sides by 3 to get x alone:   10/3 = x, and that doesn’t look like the answer choices so let’s convert to a mixed number: 3 and 1/3 (there’s that number again), for answer choice 3 and 1/3 weeks.
Answer: A
A contractor undertook to do a piece of work in 10 days. He employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 13 days. Find the number of men originally employed ?
Choose the correct choice from the following choices:
A) 21.6  B) 23.6  C) 22.6  D) 21.8  E) 21.3

Solution: Let the number of men originally employed be x.   10x = 13(x â€“ 5)   or x = 21.6   21.6nswer 21.6
Answer: A
The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?  Choose the correct choice from the following answers
A) 3:9
B) 3:7
C) 3:1
D) 3:2
E) 3:3

Solution: Let the present ages of A and B be 5x and 3x years respectively.   Then, (5x - 4)/(3x + 4) = 1/1   2x = 8 => x = 4   Required ratio = (5x + 4):(3x - 4) = 24:8 = 3:1   Answer: 3:1
Answer: C
If selling price is doubled, the profit triples. Find the profit percent.	Pick one:
A) 66%  B) 120%  C) 105%  D) 100%  E) 80%

Solution: Let C.P. be Rs. x and S.P. be Rs. y.   Then, 3(y - x) = (2y - x)   y = 2x.   Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.   Profit % =	x/x x 100% =100%   Answer is 100%.
Answer: D
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?	Choose the correct choice from the following answers.
A) 886 m	B) 787 m	C) 876 m	D) 150 m	E) 586 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 15 => y = x/15   x + 100 / 25 = x / 15   x = 150 m.   Answer:150 m
Answer: D
Veena ranks 79rd from the top in a class of 182. What is her rank from the bottom if 22 students have failed the examination?  Pick one
A) 88 B) 108 C) 82 D) 90 E) 93

Solution: total student=182   failed=22   paasd student=182-22= 
182-22 = 160
160   from bottom her rank is=160-79+1= 
160-79+1 = 82
82   ANSWER:82
Answer: C
A man buys a cycle for Rs. 1600 and sells it at a loss of 20%. What is the selling price of the cycle?	Choose the correct choice from the following options.
A) 1410	B) 1420	C) 1430	D) 1440	E) 1280

Solution: S.P. = 80% of Rs. 1600 = 80/100 x1600= Rs. 1280   answer : 1280
Answer: E
From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Options:	A) 145	B) 198	C) 185	D) 210	E) 234

Solution: The committee of 4 persons is to be so formed that it has at least 2 men. The different ways that we can choose to form such a committee are:   (i) 2m. 2w in 6C2 x 4 C1=6X5 - 2X1 X 3X3 2X1 =n an (ii) 3m. 1w in 6C3 x 4C1 =6X5X4 3X2X1 X4 _n - a ''''   (iii) 4m in 6C4 -2x1 = 15 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least 2 men. = 90 + 18 + 15 = 185   185
Answer: C
How many positive 5-digit integers have the odd sum of their digits?	Choose the correct choice from the following answers
A) 9*10^2 B) 9*10^3 C) 10^4 D) 45*10^3 E) 9*10^4

Solution: We are looking at numbers between 10000 and 99999 both inclusive.   There are 90000 numbers.   Now for   10000 : sum of digits is odd;   10001 :sum of digits is even;   10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.   (Exception for the above statement :   When it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd   and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)   This means exactly half of the numbers will have odd sum of their digits. i.e 45000   Answer : 45*10^3
Answer: D
The function f is defined for all positive integers V by the following rule. f(V) is the number of positive integers each of which is less than V and has no positive factor in common with V other than 1. If Y is any prime, number then f(Y)= Choose the correct answer:
A) Y-1
B) Y-2
C) (Y+1)/2
D) (Y-1)/2
E) 2

Solution: If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it.   This question for instance basically asks: how many positive integers are less than given prime number Y which have no common factor with Y except 1.   Well as Y is a prime, all positive numbers less than Y have no common factors with Y (except common factor 1). So there would be Y-1 such numbers (as we are looking number of integers less than Y).   For example: if Y=3 how many numbers are less than 3 having no common factors with 3: 1, 2, 3, --> 3-1=2.   Y-1nswer: Y-1.
Answer: A
Ajay can ride 50km in 1 hour. In how many hours he can ride 1250km?
Choose the correct choice from the following answers
A) 10hrs B) 15hrs C) 20hrs D) 25hrs E) 18hrs

Solution: 1 hour he ride 50km   he ride 1250km in = 1250/50 * 1= 
1250/50 * 1 = 25
25hours   Answer is 25hrs
Answer: D
To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 795 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?  Choose the correct choice from the following answers.
A) 191	B) 199	C) 193	D) 212	E) 213

Solution: Total movies submitted are 795.   As per question we need to take 1/4 of 795 to be considered for top 10 movies = 198.75   approximate the value we 199.   IMO option 199 is the correct answer...
Answer: B
Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Select the correct option:
A) 10 hr	B) 12 hr	C) 15 hr	D) 18 hr	E) 17 hr

Solution: speed = 5.5-5= 
5.5-5 = 0.5
0.5 kmph   dist= 8.5 km   time = dist/speed = 8.5/0.5= 
8.5/0.5 = 17
17 hr   ANSW17 hrR 17 hr
Answer: E
If an average hard drive had a capacity of 0.7 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choose the correct choice from the following choices:
A) 256
B) 512
C) 768
D) 1024
E) 7168

Solution: 0.7*2^10=0.7*1024= 
0.7*1024 = 716.8
716.8   The answer is 7168.
Answer: E
In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choose the correct choice from the following answers.
A) 4/51 B) 10/21 C) 7/12 D) 11/31 E) 13/17

Solution: Total number of balls = 10+6+5= 
10+6+5 = 21
21   E= event that the ball drawn is neither red nor green   = event that the ball drawn is red   n(E) = 10   P(E) = 10/21   Answer is 10/21
Answer: B
In a class of 50 students, 40 % are girls. Find the number of girls and number of boys in the class? Choose the correct option:
A) 33
B) 237
C) 36
D) 88
E) 30

Solution: Number of girls in the class = 40 % of 50   = 40/100 × 50   = 2000/100= 
2000/100 = 20
20   Number of boys in the class= Total number of students in the class - Number of girls   = 50 – 20   = 30   Answer:30
Answer: E
A number is doubled and 9 is added. If the resultant is trebled, it becomes 81. What is that number?	Choose the correct choice:
A) 3.5	B) 6	C) 8	D) 7	E) 9

Solution: Let the number be x. Then,   3(2x + 9) = 81   2x = 18 => x = 9   ANSW9R:9
Answer: E
John purchased some shirts and trousers for $1550. He paid $250 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy? Choose the correct option.
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: Given that the total purchase of two items cost 1550.   So the average purchase of one item will cost  1550/2= 
 1550/2 = 775
775.   Its given as total shirt cost 250$ less. Hence Total Shirt cost= 775 - 125 and Total trouser cost = 775 + 125   5 shirts =650$ ==> One shirt =130$   One trouser = 130 + 20= 
130 + 20 = 150
150$   Total trousers= 900 / 150= 
900 / 150 = 6
6.   6
Answer: C
If (2^x)(3^y) = 324, where x and y are positive integers, then (2^x-1)(3^y-2) equals:  Choose the correct answer:
A) 16
B) 18
C) 48
D) 96
E) 144

Solution: So I would start attacking this problem by quickly performing the prime factorization of 288. With that it is easy to count the 5 twos and the 2 threes that are the prime factors. So x=2, y=4. now quickly 2^1(3^2)=18. Than answer should be number 2.   18
Answer: B
When positive integer a is divided by 6, the remainder is 1. Which of the following must be true?
I. a is a prime number
II. a is odd
III. a is divisible by 7 Pick one.
A) I only
B) II only
C) III only
D) I and II only
E) II and III only

Solution: a=6q+1   Examine II) put q=0,1,2,3....... we have a=1,7,13,...25 so a must be odd   Examine III) 14/6 has reminder 249/7 has reminder 1 so not always true   Examine I) a= 7 true but while 2 is prime, it does not give reminder 1   Answer: II only
Answer: B
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm.
Choose the correct choice from the following choices:
A) 100cm2
B) 150cm2
C) 300cm2
D) 368cm2
E) 400cm2

Solution: Explanation: Let other diagonal = 2x cm.   Since diagonals of a rhombus bisect each other at right angles, we have:   (20)2 = (12)2 + (x)2 =>x =√(20)2 – (12)2= √256= 16 cm. _I   So, other diagonal = 32 cm.   Area of rhombus = (1/2) x (Product of diagonals) =(1/2× 23 x 32) cm2 = 368 cm2   Answer: Option 368cm2
Answer: D
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Choose the correct choice from the following options.
A) $ 130  B) $ 145  C) $ 115  D) $ 120  E) $ 150

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 145.   So after completing the 1st week she will get $ (x+145).   Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.   = $ (x + 145 + 145)   = $ (x + 290)   So in this way end of every week her salary will increase by $ 145.   correct answer $ 145
Answer: B
The price of an article is cut by 10%. To restore it to the former value. The new price must be increased by ?	Choose the correct choice from the following answers
A) 10% B) 9 1/11 C) 11 1/9 D) 11% E) None of these

Solution: Answer   Let original price = Rs. 100.   Then, new price = Rs. 90.   ∴ Increased on Rs. 90 = Rs. 10   Required increase % = (10 x 100) / 90 % = 111/9%   11 1/9orrect Option: 11 1/9
Answer: C
A committee has 4 men and 7 women. What are the number of ways of selecting 3 men and 4 women from the given committee? Choose one.
A) 110
B) 120
C) 130
D) 140
E) 150

Solution: The number of ways to select three men and four women = 4C3 * 7C4 = 4 * 35= 
4 * 35 = 140
140   The answer is 140.
Answer: D
Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?  Select the correct option:
A) 8 B) 13 C) 16 D) 24 E) 27

Solution: A intersect B intersect C = 4   A intersect B but not C = 1   B intersect C but not A = 1   C intersec A but not B = 1   A only is 2; B only is 2; C only is 2   Therefore, total 13 members serve on one or more boards of directors.   ANSWER:13
Answer: B
Dropbox charges $3.10 for first 1/5 of a month for 500 GB storage, plus $0.40 for each additional 1/5 of a month. What would Dropbox charge for a data storage of 500 GB for 8 months ?
Choose the correct option:
A) $15.60
B) $16.00
C) $17.80
D) $18.70
E) $19.10

Solution: first 1/5 month charge = $3.10   rest of the months = 8 - (1/5) = 39/5   charge for the rest of the months = 39 *0.4= 
39 *0.4 = 15.6
15.6   total charge= 3.10+15.6= 
3.10+15.6 = 18.7
18.7   Answer is $18.70.
Answer: D
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:	Pick:
A) 9
B) 1
C) 2
D) 4
E) 6

Solution: Answer: 1) 1 dm
Answer: B
Mica covers a distance in 20 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 40%.  Choose the most appropriate option
A) 50 km/h  B) 90 km/h  C) 75 km/h  D) 80 km/h  E) 100 km/h

Solution: Given Speed = 60 Kmph.   It means Mica covered 60 km in 60 min (1 hour). So, in 20 min he will cover 20 km.   40% time reduced = 20 - 40% of 20= 12 min.   Thus, Mica needs to cover 20 km in 12 min (0.2 hour).   Speed * Time = Distance.   Speed * 0.2 = 20   Speed = 100 kmph.   ANSW100 km/hR : OPTION 100 km/h
Answer: E
A box contains ELEVEN bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good? Choose the correct choice from the following answers
A) 325/330	B) 325/420	C) 369/430	D) 546/558	E) 124/131

Solution: Required probability= 1-5C4/11C4= 1 - 5/330= 325/330325/330nswer:325/330
Answer: A