MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the simple interest on Rs 18 000 at 18% per annum for the period from 12th November 2016 to 16th December 2016.	Pick:
A) Rs. 201.8 B) Rs. 1301.8 C) Rs. 341.8 D) Rs. 531.8 E) Rs. 401.8

Solution: Explanation:   One thing which is tricky in this question is to calculate the number of days.   Always remember that the day on which money is deposited is not counted while the day on which   money is withdrawn is counted.   So lets calculate the number of days now,   Time = (18+16)= 
(18+16) = 34
34/365 years   P= 18 000   R = 18%   S.I. = =18 000Ã—18Ã—34/(365*100)=301.8   Answer: Rs. 341.8
Answer: C
Each week, Harry is paid x dollars per hour for the first 18 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Select the correct option.
A) 34 B) 36 C) 37 D) 38 E) 39

Solution: 42x=18x+1.5x(H-18)   ==> 42=18+1.5(H-18)   ==> H-18 = 24/1.5= 
24/1.5 = 16
16==> H = 34   34nswer is 34
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice from the following answers:
A) 488
B) 200
C) 289
D) 150
E) 822

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.Answer:150
Answer: D
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Choose the most appropriate option:
A) 4991	B) 5000	C) 4800	D) 5500	E) 6000

Solution: Let the sale in the sixth month = x   =>6435+6927+6855+7230+6562+x/6 = 6500   6435+6927+6855+7230+6562+x=6*6500= 
6*6500 = 39_000
39000   x=39000-34009= 
39000-34009 = 4_991
4991   4991NSWER 4991
Answer: A
In an election between two candidates first candidate got 80% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?  Choose the correct choice from the following answers:
A) 12000 votes B) 13000 votes C) 14000 votes D) 10980 votes E) 19900 votes

Solution: Total = 100 %,   First person got 80%   second person got remaining 20 % of votes.   than 20 % = 2800   20% = 20Ã—140 = 2800   100% =100Ã—140 =1400 votes   14000 votes
Answer: C
Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is
Select the correct option:
A) 50 sec	B) 58 sec	C) 24 sec	D) 22 sec	E) 21 sec

Solution: Explanation:   Relative speed = 45+30= 
45+30 = 75
75 km/hr= 750/36 m/s = 125/6 m/s   We are calculating the time taken by the slower train to pass the driver of the faster one   .Hence the distance = length of the smaller train = 500 m   Time = distance/speed = 500/(125/6)= 
500/(125/6) = 24
24 sec   Answer: Option 24 sec
Answer: C
The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 75 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average? Choose the correct choice:
A) 48  B) 51  C) 60  D) 71  E) 96

Solution: The total sum of the numbers should be increased by 50.   Then the average will increase by  50/10= 
 50/10 = 5
5.   The correct average is 51.   The answer is 51.
Answer: B
A man is 32 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?  Choose the correct choice from the following answers: A) 16 B) 19 C) 15 D) 22 E) 30

Solution: Let the son's present age be x years.   Then, man's present age = (x + 24) years.   (x + 32) + 2 = 2(x + 2)   x + 34 = 2x + 4   => x =30 .   Answer: 30
Answer: E
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 56 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Choices: A) 70 B) 245 C) 400 D) 35 E) 350

Solution: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7= 
0.2*0.7 = 0.14
0.14, or 14% of the boys in the camp are from school A and do not study science.   We are told that this number equals to 56, so 0.14*{total}= 56 --> {total} = 400.   Answer: 400.
Answer: C
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?	Choose the correct choice from the following answers.
A) 8m.	B) 6m.	C) 4m.	D) 2m.	E) 5m.

Solution: Explanation:   Let the sides of the rectangle be l and b respectively.   From the given data,   (√l2 + b2) = (1 + 108 1/3 %)lb   => l2 + b2 = (1 + 325/3 * 1/100)lb   = (1 + 13/12)lb   = 25/12 lb   => (l2 + b2)/lb = 25/12   12(l2 + b2) = 25lb   Adding 24lb on both sides   12l2 + 12b2 + 24lb = 49lb   12(l2 + b2 + 2lb) = 49lb   but 2(l + b) = 28 => l + b = 14   12(l + b)2 = 49lb   => 12(14)2 = 49lb   => lb = 48   Since l + b = 14, l = 8 and b = 6   l - b = 8 - 6= 
8 - 6 = 2
2m.   Answer: Option 2m.
Answer: D
If x^2=x+4, then x^3=?	Choices
A) 3x+2 B) 3x-2 C) 2x+1 D) 2x-3 E) 5x+4

Solution: Given X^2 = X+4   X^3 = X*X^2 = x*(X+4)-- Substituted from above.   = X^2 + 4X = X+4+4X = 5X+4.   Hence 5x+4.
Answer: E
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Choose the correct choice from the following options:
A) 81:122
B) 81:121
C) 81:122
D) 81:197
E) 81:112

Solution: Ratio of the sides = ³√729 : ³√1331   = 9 : 11   Ratio of surface areas = 92:112   = 81:121   Answer: 81:121
Answer: B
If 235477 × 455233 × K^2 is divisible by 3, which of the following could be the value of K?	Choose the correct choice from the following options: A) 6000209 B) 6111209 C) 3456576 D) 6111309 E) 6111109

Solution: The first two terms are not divisible by 3, so we need the third term to be divisible by 3. The only way that (k^2) is going to be a multiple of 3 is if k is a multiple of 3. Therefore, we need the single answer that is a multiple of 3.   Answer =(6111109)
Answer: E
Twin primes are defined as prime numbers that can be expressed as p and (p + 2), and any number p that is a member of such a pair is considered to have a twin. For example, 3 and 5 are twin primes, and 3 has a twin. Each of the following prime numbers has a twin EXCEPT Choose one
A) 7  B) 13  C) 17  D) 23  E) 29

Solution: A. 7 --> 5 is a twin prime of 7;   B. 13 --> 11 is a twin prime of 13;   C. 17 --> 19 is a twin prime of 17;   D. 23 --> neither  23-2= 
 23-2 = 21
21 nor   23+2= 
  23+2 = 25
25 is a prime, hence 23 has no twin prime;   E. 29 --> 31 is a twin prime of 29.   Answer: 23.
Answer: D
Tough and Tricky questions: Number Properties.
If (z + 3)/6 is an integer, what is remainder when z is divided by 6?
Choose the correct choice from the following choices:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 6/6= 
6/6 = 1
1   Ans 3
Answer: B
If the number 892,132,27x is divisible by 11, what must be the value of x?	Choose the correct choice from the following answers: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11   Given number: 892,132,27x   Sum of digits at odd places = 8 + 2 + 3 + 2 + x = 15 + x (i)   Sum of digits at even places = 9 + 1 + 2 + 7= 
9 + 1 + 2 + 7 = 19
19 (ii)   (i) - (ii)= 15 + x - 19 = x - 4   Hence x should be = 4 to make this a multiple of 11 (0) Option 4
Answer: D
Express 35 mps in kmph?	Answers.
A) 122  B) 188  C) 126  D) 140  E) 124

Solution: 35 * 18/5= 
35 * 18/5 = 126
126 kmph   Answer: 126
Answer: C
Abhijit started a business investing 4000. Anuja joined him after six months with an amount of 8000 and Sunil joined them with 12,000 after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, two years after Abhijit started the business?	Choose the correct choice from the following options.
A) 2 : 4 : 3
B) 2 : 4 : 4
C) 2 : 5 : 5
D) 2 : 3 : 3
E) 2 : 5: 3

Solution: Ratio of their investments   = 4× 24 : 8 × 18 : 12 × 12 = 2 : 3 : 3   Answer 2 : 3 : 3
Answer: D
What are the chances you would pull an Ace or Heart from a well-shuffled deck of cards?	Choose the correct choice from the following options
A) 1 of 4
B) 4 of 12
C) 1 of 13
D) 4 of 13
E) 1 of 52

Solution: You must add the number of cards in each suit in the deck (13/52) to the number of aces of in the deck (4/52) and subtract the number of aces of hearts in the deck (1/52). This will give you the number of 16/52 which when the fraction is reduced will give you the answer of 4/13. Answer is 4 of 13.
Answer: D
A moving truck uses 28 gallons of diesel fuel in traveling 504 miles. In order for the truck to travel the same distance using 21 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?	Pick
A) 6 B) 10 C) 8 D) 12 E) 21

Solution: There are two sets 28G1 gallons and 21G2 gallons details given.   28 gallons covering 504 miles   Then 1 G1 is used to cover 18 miles.   Now for 21 G2 covering 504 miles.   then 1 G2 is used to cover 24 miles.   There must   24 - 18= 
  24 - 18 = 6
6 miles per gallon increment is needed for 21 gallons to improve the mileage to cover 504 miles.   IMO 6 is correct answer.
Answer: A
25 bikes are running between two places A & B. In how many ways can a person go from A to B and return by a different bikes?	Choose the correct choice from the following answers
A) 200  B) 250  C) 400  D) 600  E) 650

Solution: He can go in any car out of the 25 cars.   Hence He can go in 25 ways.   Since he can not come back in the same car that he used for travelling,   He can return in 24 ways.   Total number of ways = 25 x 24 = 600   600
Answer: D
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $35 more. What was his original selling price?	Pick:
A) $180 B) $280 C) $420 D) $550 E) $700

Solution: Let P be the original purchase price of the product.   Bill originally sold the product for 1.1*P.   In the second scenario, the purchase price is 0.9*P.   A 30% profit means the selling price would be 1.3*0.9*P = 1.17*P   Thus, according to the information in the question, 1.17P - 1.1P = 35   0.07 = 35   P = 500   The original selling price was  500*1.1= 
 500*1.1 = 550
550.   The correct answer is $550.
Answer: D
A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with? Choose the correct choice:	A) 8 hrs 45 mins.	B) 9 hrs.	C) 9 hrs 30 mins.	D) 11 hrs 40 mins.	E) 15 hrs 30 mins

Solution: The pool was 2/3 full initially.   In 5/3 hrs, it was filled to 6/7 of its capacity.   Therefore, in 5/3 hrs, 6/7 - 2/3 was the amount of volume filled.   So, 5/3 hrs = 6/7 - 2/3 = 4/21   Therefore, for filling the vessel from empty to full, you would require 5/3 * 21/4 = 35/4 = 8 Hrs 45 Mins.   Hence 8 hrs 45 mins.
Answer: A
Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest W?  Pick.
A) 60	B) 61	C) 62	D) 63	E) 64

Solution: 60 = 2*2*3*5 factor count =3   61= prime number   62 = 2*31 factor count=2   63=3*3*7 factor count=2   64=2*2*2*2*2*2 factor count=1=W   answer is 60.
Answer: A
A is twice as good a workman as B and together they finish a piece
in 18 days. In how many days will A alone finish the work?	Choose the most appropriate option:	A) 27 days	B) 32 days	C) 54 days	D) 16 days	E) 29 days

Solution: Sol. (A’s 1 day’s work):)(B’s 1 days work) = 2 : 1.   (A + B)'s 1 day's work = 1/18   Divide 1/18 in the ratio 2 : 1.   :. A’s 1 day's work =(1/18*2/3)=1/27   Hence, A alone can finish the work in 27 days.   Option: 27 days
Answer: A
Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 30% ?
Select
A) 0 B) 1 C) 2.50 D) 1.73 E) 4

Solution: Let x be the number of males.   Total contestants = 10   Probability that the first contestant selected is a male = x/10   Probability that the second contestant selected is also a male = x-1/9   Total probability = x(x-1)/ 90 < 1/30 (this probability is less than 30%)   Solving for x we get, x(x-1)< 3. This implies that the maximum value of x can be 1.73.   Answer 1.73!
Answer: D
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 14 km/hr respectively. They will meet for the first time in?	Pick:  A) 50min  B) 40min  C) 34min  D) 25min  E) 20min

Solution: Clearly, the two will meet when they are 1000 m apart   To be   20+14= 
  20+14 = 34
34 km apart, they take 1 hour   To be 1000 m apart, they take   34 * 1000/1000= 
  34 * 1000/1000 = 34
34 min.   Answer is 34min
Answer: C
An article is bought for Rs.1000 and sold for Rs.700, find the loss percent?
Choose the correct choice
A) 18 2/3%	B) 16 7/3%	C) 16 2/8%	D) 16 2/3%	E) 30%

Solution: 1000 ---- 300   100 ---- ? => 30%   Answer:30%
Answer: E
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Pick one.
A) 30% B) 70% C) 100% D) 250% E) 200%

Solution: Explanation:   Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 420.   Profit = Rs. (420 - 125) = Rs. 295.   Required percentage =(295/420 x 100)%=(1475/21)%=70%(approximately).   ANSWER IS 70%
Answer: B
Write 890,000,000,000 in scientific notation.
Answers.
A) 8.9 * 10 11
B) 800.900 * 10 11
C) 8.900 * 10 11
D) 80.9000* 10 11
E) 08.900 * 10 11

Solution: a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer.   890,000,000,000 = 8.9* 100,000,000,000 = 8.9 * 10 11**   correct answer 8.9 * 10 11
Answer: A
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 18 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate? Choices
A) 3  B) 6  C) 7.2  D) 7.8  E) 9

Solution: Answer is E.   x/x+36=1/5   x=9   18-9= 
18-9 = 9
9
Answer: E
In how many ways to select 3 girls and 2 boys from a class? A class contains 5 boys and 5 girls. Choose the most appropriate option
A) 10
B) 30
C) 22
D) 20
E) 25

Solution: The way is 5C3+5C2   5C3=5!/2!*3!=5*4*3!/3!*2*1=10   5C2=5!/2!*3!=5*4*3!/3!*2*1=10   =10+10= 
10+10 = 20
20 ways to select 3 girls and 2 boys from a class   Answer is option 20
Answer: D
If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Answers
A) 3⁄7 B) 4⁄7 C) 3⁄4 D) 4⁄3 E) 7⁄4

Solution: Should be a sub-600 level Q..   volume= {3/7}/{4/7}=3/4   ANSWER:3⁄4
Answer: C
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are : Choose the correct answer:
A) 500
B) 387
C) 298
D) 267
E) 191

Solution: Explanation:   Given that the student got 125 marks and still he failed by 40 marks   => The minimum pass mark = 125 + 40= 
125 + 40 = 165
165   Given that minimum pass mark= 33% of the total mark   500nswer: 500) 500
Answer: A
If 40! × 40!/40^n is an integer, what is the largest possible value of n?	Answers:
A) 24	B) 10	C) 7	D) 3	E) 1

Solution: 40! × 40!/40^n is an integer.   Or 40! × 40!/(4^2n*5^n)   This means we need to find the power of 5 in the numerator. We can safely say that the number of powers of 5 will be lower than the number of powers of 4 in the numerator.   Largest power of 5 in 40! = [40/5] + [40/25] = 5   Since there are 2 20!'s, power of 5 in the numerator = 2*5= 
2*5 = 10
10   Hence the largest value of b for which 40! × 40!/40^n is integer= 10   Correct Option : 10
Answer: B
If the GCD of two distinct numbers (not equal, both integers, greater than 1) is 3, then which of the following can be true? A. They are prime.
B. They are odd.
C. They do not have a common prime factor.
D. They do not have a common factor other than 3.  Choose the correct choice from the following answers.
A) Only A	B) Only B	C) Only C	D) Only D	E) Only A and D

Solution: The GCD of two distinct numbers (not equal, both integers, greater than 1) is 3 means that they don't share factors greater than 3. Allowed factors are 1, 2, and 3. Defined factors are 1 and 3.   A. They are not prime. 3 is the only prime number that is divisible by 3, so one number can be prime but the other number cannot be.   B. They can be odd. For example: 9 has factors of 1 and 3 (1 x 3 x 3), and 15 has factors of 1, 3, and 5 (1 x 3 x 5). 9 and 15 are both odd and have a GCD of 3.   C. They do have a common prime factor. That prime factor is 3.   D. They have a common factor other than 3. Both numbers have common factors of 3 and 1.   Therefore only (Only B) is correct.
Answer: B
Find the odd man out. 125, 127, 130, 135, 142, 153, 165	Choices.
A) 165  B) 142  C) 153  D) 130  E) 125

Solution: Explanation :   Prime numbers 2, 3, 5, 7, 11, 13 are added successively. Hence, 165 is wrong   165nswer : Option 165
Answer: A
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then	Choose the most appropriate option.
A) XB > CD	B) XB < YD	C) AX > XB	D) CY < XB	E) AX > AB

Solution: A--X------B   C-----Y---D   CY < XB.   Answer: CY < XB.
Answer: D
If p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3^k is a factor of p?	Choose the correct choice from the following answers.
A) 10	B) 12	C) 14	D) 16	E) 18

Solution: 32! has 3, 6, 9,....30 as factors, which are 10 multiples of 3.   We need to add 4 more to 10 because of 9, 18, and 27.   The answer is 14.
Answer: C
A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage? Choose the correct choice from the following answers
A) 25%	B) 18%	C) 20%	D) 40%	E) 45%

Solution: 100(1000-800)/800 = 25%   Profit percentage = 25%   25%NSWER 25%
Answer: A
Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)P can be formed using all the letters of the word “SELFIE” so that the two E’s are not together? Choices.
A) 660
B) 600
C) 500
D) 300
E) 240

Solution: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,P if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is 240 that is 240
Answer: E
If a certain sample of data has a mean of 31.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choose one:  A) (27.0; 36.5)  B) (24.5; 38.0)  C) (28.0; 32.5)  D) (26.5; 35.0)  E) (29.0; 32.5)

Solution: The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.   The values between 26 and 36 are within 2.5 standard deviations from the mean.   The answer is (24.5; 38.0).
Answer: B
24 oz of juice P and 25 oz of juice V are mixed to make smothies L and Y . The ratio of p to V in smothie L is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie L?  Choices:	A) 5	B) 10	C) 15	D) 20	E) 25

Solution: The ratio of p to V in smothie L is 4 is to 1 and that in Y is 1is to 5.p1 + p2 = 24   v1 + v2 = 25   p1 = 4v1   p2 = v2/5   4v1 + v2/5 = 24   v1 + v2 = 25   4v2 - v2/5 = 76   19v2/5 = 76 => v2 = 20   => v1 = 5   => p1 = 20   Answer - 20
Answer: D
A taxi company charges $1.85 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?  Choose the correct choice from the following choices:
A) 4 miles
B) 4 1/4 miles
C) 4 3/4 miles
D) 5 1/3 miles
E) 6 1/4 miles

Solution: If we start out with $4.90 and have to spend $1.85 for the first quarter-mile, we will have $3.05 left to spend on quarter-mile intervals.   Since $3.05/$0.15 = 20.33, we can buy 20.33 more quarter-miles, and will travel 21.33 quarter miles in all:   21.33 × 1/4 = 5 1/3 miles.   The correct answer is choice (5 1/3 miles).
Answer: D
An Olympic diver received the following scores: 7.0, 8.5, 8.0, 6.5, and 5.0. The standard deviation of her scores is in which of the following ranges?
Select.
A) 1.01 to 1.99 B) 2.01 to 2.99 C) 3.01 to 3.99 D) 4.01 to 4.99 E) 5.01 to 5.99

Solution: 7+8.5+8+6.5+5/5=35/5= 
35/5 = 7
7   ∣7−7∣^2=0^2 = 0   ∣8.5−7∣^2 =1.5^2 = 2.25   ∣8−7∣^2 =1^2 = 1   ∣6.5−7∣^2 =0.5^2 = 0.25   ∣5−7∣^2 =2^2 = 4   sqrt 2.25+1+.25+4/5 =1.22   1.01 to 1.99nswer : 1.01 to 1.99
Answer: A
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choose the correct choice
A) 80  B) 95  C) 105  D) 137  E) 210

Solution: Set up equation:   x = total number of workers   120 = 0,3 * 2/3 * x + 0,8 * 1/3 * x   120 = 14/30 x   x = 257   257 - 120= 
257 - 120 = 137
137   Answer 137
Answer: D
A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $30000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?  Pick:
A) 5 B) 4 C) 9 D) 10 E) 15

Solution: Since the starting point is given as the $4000 scholarship,   Assume $4000 scholarships to be x   4y the given information, $2500 scholarships = 2x   and $1250 scholarships = 6x   Gievn: Total $1250 scholarships = $30000   6x*1250 = 30000   Solve for x = 4   Option 4
Answer: B
A rectangular garden has a 5-metre-wide road outside around all the four sides. The area of the road is 600 square metres. What is the ratio between the length and the breadth of that plot?	Choose the correct choice
A) 3 : 2 B) 4 : 3 C) 5 : 4 D) Data inadequate E) None of these

Solution: Area of shaded portion = 600 m.   ∴ (l + 10)(b + 10) – lb = 600   or, lb + 10b + 10l + 100 – lb = 600   or, 10 (b + (l) = 500   ∴ b + l = 50   From this equation we can’t get the required ratio   Answer Data inadequate
Answer: D
How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?	Choose the correct answer.
A) 288  B) 173144  C) 144  D) 297  E) 2181

Solution: Explanation:   If a number has to be divisible by 4, the last two digit of that number should be divisible by 4.   So _ _ _ x y. Here xy should be a multiple of 4.   There are two cases:   Case 1: xy can be 04, 20 or 40   In this case the remaining 3 places can be filled in 4×3×2 = 24. So total 24×3 = 72 ways.   Case 2: xy can be 12, 24, 32, 52.   In this case, left most place cannot be 0. So left most place can be filled in 3 ways. Number of ways are 3×3×2 = 18. Total ways = 18×4 = 72.   Total ways = 144   Answer:144
Answer: C