MU-NLPC/Calc-aqua_rat huggingface dataset:
In a lottery draw there are 4 jars containing 5 choices with only one choice as the lucky draw. A candidate wins the lottery draw if he/she picks up all the lucky draws from all the jars. What is the total number of ways in which a candidate will not win the lucky draw?	Choose the correct answer:	A) 19	B) 85	C) 120	D) 624	E) 1024

Solution: A candidate can pick up draws in 5*5*5*5=5^4 number of ways (each jar has 5 draws and we have total of 4 jars). Now, out of these cases there will be only one case when the candidate picked all the four lucky draws. Therefore the total number of ways in which a candidate will NOT win the lottery is 5^4-1=624.   Answer: 624.
Answer: D
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally? Choices.
A) 11
B) 16
C) 12
D) 18
E) 19

Solution: x, 2x   (x-2):(2x-2) = 1:3   3x-6 = 2x-2   x = 4   x+2x = 3x   => 3*4= 
3*4 = 12
12   Answer: 12
Answer: C
A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 20% profit on the cost of the item?	Pick:
A) 18  B) 21.6  C) 22  D) 22.5  E) 27

Solution: Producer price = $15;   The distributor wants to maintain a 20% profit on the cost of the item, thus he must get $ 15*1.2= 
 15*1.2 = 18
$18 after the store takes a commission of 20% of the final price --> (final price)*0.8= $18 --> (final price) = $22.5.   Answer: 22.5.
Answer: D
P sells an article to Q at 10 % profit. Q sells it to R at 25 % profit. If R pays Rs. 250 for it, What did P pay for it ?
Choose the correct choice from the following answers.
A) Rs. 225 B) Rs. 198.50 C) Rs. 181.81 D) Rs. 162.30 E) None of these

Solution: Explanation:   Selling price of P = Cost price of Q   Selling Price of Q = Cost price of R = Rs. 250 ….. Given   Q sold it to R with 25 % profit.   Cost price of Q = 100/125 * 250/1 = Rs. 200 = Selling price of P.   P sold it to Q with 10 % profit.   Cost price of P = 100 / 110 * 200 / 1 = Rs. 181.81   ANSWER Rs. 181.81
Answer: C
If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. b-a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
Pick:
A) I only
B) II only
C) I and II only
D) II and III only
E) I, II, and III

Solution: Since a, b, and c are consecutive positive integers and a < b < c, thenb= a + 1, from which it follows that b - a = 1. So, I is false.   Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.   Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is true as well.   Answer: II and III only.
Answer: D
There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 58%	Choose the correct option:  A) 18.75  B) 19.75  C) 26.89  D) 21.75  E) 22.75

Solution: 60*84/100= 
60*84/100 = 252/5 = around 50.4
50.40 lit milk that is 9.60 lit water   let x lit water will be added then   (60+x)*58/100=50.40   so x=26.89   ANSWER:26.89
Answer: C
On the number line, if x is halfway between -6 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
Answers:	A) -2.5	B) -1.5	C) -0.5	D) 0.5	E) 1.5

Solution: x= -1 and y = 2.   The answer is 0.5.
Answer: D
Today is wednesday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?  Answers
A) SUNDAY
B) MONDAY
C) TUESDAY
D) WEDNESDAY
E) FRIDAY

Solution: Today is wednesday   after three days--->saturday   now, (saturday)after before day--->friday   then, (friday)day after tomorrow--->sunday   SUNDAYNSWER:SUNDAY
Answer: A
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?  Choose the correct choice:  A) 45%  B) 67%  C) 57%  D) 69%  E) 70%

Solution: Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   57%
Answer: C
If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12?	Pick:	A) 0	B) 1	C) 2	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 5, square it and see what would be the remainder upon division of it by 12.   7=5 --> n^2=49 --> remainder upon division 49 by 12 is 1.   Answer: 1.
Answer: B
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Pick one:
A) 23 years  B) 24 years  C) 25 years  D) None of these  E) Cannot be determined

Solution: Explanation: Let the average age of the whole team by x years.   11x - (26 + 29) = 9(x -1)   11x - 9x = 46   2x = 46   x = 23.   So, average age of the team is 23 years.   23 yearsnswer: Option 23 years
Answer: A
Choose a number between 1 and 10. Add 4 and double the result. Subtract 3, then, multiply by 3. Subtract 5 times one more than the original number. Tell me the answer and I will tell you your original number.  Answers
A) 10x	B) x+10	C) x-10	D) x/10	E) 10-x

Solution: The calculation described in this problem is 3(2 (4+ x) -3) - 5(x + 1), we can use the Rules to rewrite the expression as follows:   = 3 (2 (4 + x) - 3) - 5(x + 1)   = 3 (8 + 2 x - 3) -5 x - 5   = 3 (2 x + 5) - 5x -5   = 6x + 15 - 5x - 5   = (6 - 5)x + 15 -5   = x + 10   Answer: x+10
Answer: B
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 5 years old. At what age did the father get married ? Choose the correct choice from the following options.
A) 23years
B) 24years
C) 25years
D) 26years
E) 27years

Solution: Explanation:   Ayush's present age = 5 years.   His mother's present age = (5 + 20)= 
(5 + 20) = 25
25 years.   Ayush's father's present age= (25 + 5)= 
(25 + 5) = 30
30 years.   Ayush's father's age at the time of Ayush's birth= (30 - 5)= 
(30 - 5) = 25
25 years.   Therefore Ayush's father's age at the time of marriage= (25 - 2)= 
(25 - 2) = 23
23 years.   23yearsnswer: 23years) 23 year
Answer: A
Addison High School’s senior class has 160 boys and 200 girls. If 75% of the boys attended the college and 40% of the girls did not attend the college, what percentage of the total class attended college? Select:
A) 35	B) 64	C) 66.67	D) 60	E) 84

Solution: Number of boys attending the college : 0.75*160= 
0.75*160 = 120
120   number of girls not attending the college:  0.40*200= 
 0.40*200 = 80
80   number of girls attending the college :  200-80= 
 200-80 = 120
120   Total attending= 120+120= 
120+120 = 240
240   Total people= 160+200= 
160+200 = 360
360   % of people attending= 240/360 = 66.67%. 66.67 is the correct answer
Answer: C
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.30000?
Pick:
A) 9930  B) 1879  C) 2779  D) 2672  E) 2782

Solution: 9930 = 30000(11/10)^3   = 39930   = 30000   ----------   9930   9930nswer: 9930
Answer: A
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?	Choose the correct choice from the following answers.
A) 2778	B) 2997	C) 2677	D) 2197	E) 9680

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}2 = Rs.9680   Answer: 9680
Answer: E
If 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers?	Choose one
A) 1 minutes  B) 12 minute  C) 120 minutes  D) 10000 minutes  E) 1000 minutes

Solution: we can try the logic of time and work,our work is to kill the deers so 12(lions)*12(min)/12(deers)=100(lions)*x(min)/100(deers)hence answer is x=12   ANSWER:12 minute
Answer: B
Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 12, 13, 15, 12, 14, 24
II. 42, 52, 62, 72, 82, 92
III. 37, 38, 39, 40, 41, 42	Select the correct option: A) I, II, III B) I, III, II C) II, I, III D) III, I,II E) III, II, I

Solution: (D) To answer a question such as this, you DO NOT need to know how to calculate standard deviation. You simply need to understand how to compare standard deviations of different sets. The more spread out the numbers are, the greater the standard deviation will be. Even one or two numbers that are much larger or smaller than the others will cause the standard deviation to rise drastically.   sequence III,I,II   III, I,II
Answer: D
18 men can complete a piece of work in 30 days. In how many days can 15 men complete that piece of work? Answers:
A) 23 days  B) 36 days  C) 22 days  D) 29 days  E) 20 days

Solution: 36 days   36 days   18 * 30 = 15 * x => x = 36 days
Answer: B
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?	Choose one:  A) 2.8  B) 2.3  C) 2.5  D) 2.1  E) 2.9

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 10   ? --- 1=> Rs.2   100 --- 80   ? --- 2 => Rs.2.5   Answer: 2.5
Answer: C
Find the probability that a year chosen at random has 53 Mondays.	Pick one:  A) 5/28  B) 3/28  C) 1/28  D) 3/28  E) 3/27

Solution: Explanation :   There are 2 kinds of year   Leap year - probability = 1/4(out of 4 years one is a leap year)   Non leap year - probability = 3/4   So it's either this OR that   Now in non leap year, there are 365 days meaning 52 Weeks with one day extra   That one day can be Monday out of 7 possible days.Hence the probability = 1/7   Similarly in leap year, there are 366 days and so 366/7= 52 Weeks with 2 days Extra   Now probability of occurrence of Monday out of possible 7 days =2/7   So what we essentially want is   (5/28 non leap year 5/28ND Monday) OR ( 5/28 leap year 5/28ND Monday)   So it'll be [3/4*1/7] + [1/4*2/7] = 5/28   5/28nswer : 5/28
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choose the correct option:
A) 120
B) 130
C) 140
D) 149
E) 133

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120rea of the triangle = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120nswer: Option 120
Answer: A
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?  Choose the correct option:
A) 120 B) 720 C) 1,060 D) 1,520 E) 1,980 committees

Solution: these are two independent events. meaning picking men from a group of men has no effect on picking women from group of women. so you have to multiply here.   11c2*9c2 =1980   Answer is 1,980 committees.
Answer: E
In b is a positive integer smaller than 200 and (14b)/60 is an integer, then b has how many different positive prime factors?
Pick
A) 2
B) 3
C) 5
D) 6
E) 8

Solution: 7b/30 tells us that b is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.   Answer: 3
Answer: B
A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3cm. if the length of AC is increased by 6%, the length of CB is decreased by	Select
A) 6%	B) 7%	C) 8%	D) 9%	E) None

Solution: Solution: As A and B are fixed, C is any point on AB, so if AC is increases then CB decreases.   A________3 cm_________ C _____2 cm____B   Then, solution can be visualized as,   Increase in AC 6% = (106*3)/100= 
(106*3)/100 = 159/50 = around 3.18
3.18 cm.   Decrease in CB= 0.18 cm   % decrease = (0.18/2)*100= 
(0.18/2)*100 = 9
9%.   Alternatively,   AC= 3 Cm.   BC = 2 Cm.   Increase in AC by 6%, then   New, AC = 3 + 6% of 3 = 3 + 0.18= 
3 + 0.18 = 3.18
3.18 cm.   0.18 cm increase in AC means 0.18 cm decrease in BC as already mentioned AB as the fixed point.   So, % decrease in BC,= (Actual Decrease in BC /Original BC)*100   = (0.18/2) *100= 
(0.18/2) *100 = 9
9%.   Answer: Option 9%
Answer: D
If y = 2 + 2K and y≠0y≠0, then 2/y + 2/y + 1/y + 1/y = ?  Choose the correct option:
A) 1/(8+8k)
B) 3/(1+k)
C) 1/(8+k)
D) 4/(8+k)
E) 4/(1+k)

Solution: 2/Y + 2/Y + 1/Y + 1/Y   = 6/Y   = 6/(2 + 2K)   = 3/(1 + K)   ANSWER:3/(1+k)
Answer: B
A bowl has only 3 apples and 3 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?	Choose the correct option
A) 1/10  B) 1/5  C) 2/9  D) 2/5  E) 1/2

Solution: 3/6 * 2/5   =1/5   B. 1/5
Answer: B
The cross section of a canal is trapezium in shape. The canal is 12m wide at the top and 8m wide at the bottom. If the area of the cross section is 840 sq.m, the depth of the canal is:	Options.
A) 42m
B) 84m
C) 63m
D) 8.75m
E) 9.75m

Solution: ½ (12+8)d=840 or d=84m   ANSWER:84m
Answer: B
A gardener increased the length of a rectangle-shaped garden by 30 percent and decreased its width by 20 percent. The area of the new garden	Choose the correct choice from the following choices:	A) has increased by 4 percent	B) has increased by 8 percent	C) has increased by 12 percent	D) is exactly the same as the old area	E) cannot be expressed in percentage terms without actual numbers

Solution: Let L be the original length and let W be the original width.   The original area was L*W.   The new area is 0.8W*1.3L = (0.8)(1.3)L*W = 1.04L*W   The answer is has increased by 4 percent.
Answer: A
Arjun buys a toy at Rs 100 and sells it at Rs 120. Amin buys the same toy at Rs 120 but sells it at Rs 100. What are the respective profit/loss per cent for the two persons?
Choose the correct choice.
A) 20%, 20%	B) 20%, 16.7%	C) 16.7%, 16.7%	D) 16.7%, 10%	E) None of these

Solution: Percentage profit = [(120 - 100) / 100] x 100 = 20%   Percentage loss = [(120 - 100) / 120] x 100 = 16.7 %   ANSWER:20%, 16.7%
Answer: B
The compound interest on a sum for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound and simple interest for 3 years will be Choose the correct choice from the following options:
A) Rs. 48  B) Rs. 98.56  C) Rs. 66.56  D) Rs. 66.58  E) None of these

Solution: Explanation:   Given that simple interest for 2 years is Rs.800   i.e., Simple interest for 1st year is Rs.400   and simple interest for 2nd year is also Rs.400   Compound interest for 1st year will be 400   and Compound interest for 2nd year will be  832 - 400= 
 832 - 400 = 432
432   you can see that compound interest for 2nd year is more than simple interest for 2nd year by 432 - 400= Rs.32   i.e, Rs. 32 is the interest obtained for Rs.400 for 1 year   Rate, R = 100 × SI/PT = (100×32)/(400 × 1) = 8%   Difference between compound and simple interest for the 3rd year   = Simple Interest obtained for Rs.832   = PRT/100 = (832 × 8 × 1)/100 = Rs. 66.56   Total difference between the compound and simple interest for 3 years   = 32 + 66.56 = Rs.98.56   Answer: Option Rs. 98.56
Answer: B
$500 will become $1000 in 7 years find the rate of interest?  Choose the correct choice from the following options
A) A)10%
B) B)20%
C) C)14.29%
D) D)30%
E) E)50%

Solution: SI = simple interest = A-P = 1000-500= 
1000-500 = 500
$500   R= 100SI/PT = 100*500/500*7 =14.29%   Answer is 14.29%
Answer: C
Andrew travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
Choose the correct choice from the following answers.
A) $1 B) $1.84 C) $1.92 D) $2.13 E) $2.15

Solution: Ordering the data from least to greatest, we get:   $1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11   The median gasoline price is $1.84. (There were 3 states with higher gasoline prices and 3 with lower prices.)   $1.84
Answer: B
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 15% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 10%. If Ron imported a $15,000 imported car and ended up paying $1800 in taxes, what is the first tier's price level?	Select
A) $7000 B) $6500 C) $6050 D) $6000 E) $6100

Solution: Let T be the tier price, P be total price = 15000   Per the given conditions:   0.15T + 0.10(P-T) = 1800   0.15T+0.10*15000-0.10T =1800   0.05T +1500 = 1800   0.05T = 1800-1500= 
1800-1500 = 300
300   T= 300/0.05= 
300/0.05 = 6_000
6000   Answer $6000
Answer: D
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? Choose the correct choice from the following
A) 16cm B) 18cm C) 24cm D) Data inadequate E) None of these

Solution: Explanation:   2(l+b)/b=5/1   2l + 2b = 5b   3b = 2l   b = 2/3 l   Then, Area = 216 cm2   l x b = 216   l x (2/3)l = 216   l2 = 324.   l = 18 cm.   Answer: 18cm
Answer: B
In Town X, 120 percent of the population are employed, and 80 percent of the population are employed males. What percent of the employed people in Town X are females?  Select the correct option:
A) 16%
B) 25%
C) 33%
D) 40%
E) 52%

Solution: Total employed people 12%, out of which 80 are employed males, hence 40% are employed females.   (employed females)/(total employed people)=40/120=1/3=33%   Answer: 33%.
Answer: C
Which of the following is not the square of an integer?
Choose the correct choice:
A) 276676	B) 400689	C) 228484	D) 261121	E) 432458

Solution: The square of an integer (n^2) can have only the following units digit:   0, if the units digit of n is 0;   1, if the units digit of n is 1 or 9;   4, if the units digit of n is 2 or 8.   5, if the units digit of n is 5;   6, if the units digit of n is 6 or 4;   9, if the units digit of n is 3 or 7.   The square of an integer cannot have the units digit of 2, 3, 7, or 8.   The answer is 432458.
Answer: E
Two trains of length 100 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Choose the most appropriate option
A) 18 sec
B) 70 sec
C) 21 sec
D) 20 sec
E) 19 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 100 + 280= 
100 + 280 = 380
380 m.   The time required= d/s   = 380/20= 
380/20 = 19
19 sec.   Answer: 19 sec
Answer: E
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 9 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used? Pick
A) 3 B) 4 C) 18/5 D) 9 E) 12

Solution: yes there is a typo in the question, I got the same ques on my GMAT PREP last week, and the questions goes as:   A company has two types of machines,type R and type S.Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 9 hours .If the company used the same number of each type of machine to do job in2 hours,how many machine R were used?   So for a job to be done in 2 hours R = 1/2   R_a(Rate of Machine R) = 1/36   R_s(Rate of Machine S) = 1/9   Lets say x machines are used to attain the desired rate, thus   x/36+x/9 = 1/2 (Desired R =1/2 i.e. to complete the job in 2 hours)   (x+4x)/36 = 1/2   5x/36 = 1/2   x = 18/5.   QA = 18/5 (ANSWER 18/5)
Answer: C
Each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?  Choose the correct answer:
A) 1/16
B) 5/42
C) 1/8
D) 3/16
E) 1/4

Solution: 210=2*3*5*7, so the # of factors 210 has is (1+1)(1+1)(1+1)(1+1)=16 (see below);   42=2*3*7, so out of 16 factors only two are multiples of 42: 42 and 210, itself;   So, the probability is 2/16=1/8.   Answer: 1/8.
Answer: C
At a company, the average wage of male employees is $5 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7 per hour, what is the ratio of the number of male employees to the number of female employees? Pick
A) 1 to 2  B) 2 to 3  C) 3 to 2  D) 5 to 3  E) 2 to 1

Solution: 1 to 2verage hourly wage of male employees = 5 $   1 to 2verage hourly wage of female employees = 8 $   1 to 2verage hourly wage of all employees = 7 $   Let number of male employees = m   number of female employees = f   7= (5m + 8f ) / m+f   =>7m + 7f = 5m + 8f   => 2m = 1f   => m/f = 1/2   1 to 2nswer 1 to 2
Answer: A
In order to complete a reading assignment on time, Terry planned to read 120 pages per day. However, she read only 60 pages per day at first, leaving 840 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time? Answers:
A) 4	B) 6	C) 8	D) 10	E) 12

Solution: D=120*X - according to the plan, assignment to be completed on time reading 120 pages per day for next X days. But, Terry's plans changed so she read as follow:   60 pages for first Y days and 780 pages for last 6 days, we get these equations:   60*Y+840=120*X   X-Y=6 --------->>X planned number of days, Y - actually used reading 60 pages per day and 6 leftover days used to complete a lump 780 pages   From above we find that X=Y+6 and 60Y+840=120Y+720 or 60Y=120 --->>>>> Y=2, hence X=8   Answer : 8
Answer: C
Together, Andrea and Brian weigh p pounds; Brian weighs 12 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?	Choose the correct choice from the following.
A) p/2 - 10  B) 3p/4 - 6  C) 3p/2 - 5  D) 5p/4 - 10  E) 5p - 5

Solution: Together, Andrea and Brian weigh p pounds --> A + B = p.   Brian weighs 10 pounds more than Andrea --> B = A + 12 --> A + (A + 12) = p --> A = (p - 12)/2 = p/2 - 6.   Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 6) + p/4 = 3p/4 -6.   Answer: 3p/4 - 6.
Answer: B
Set S consists of integers {1,2,3,4,5,6}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 9?
Select the correct option:
A) 2/15
B) 1/7
C) 3/11
D) 4/19
E) 2/21

Solution: Number of ways you can choose 2 from 6 = 6C2 = 15   E = event of getting the 2 numbers is more than 6 = (4,6),(5,6) = 2   probability = 2/15   2/15nswer is 2/15
Answer: A
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.35, the number of 25 paisa coins is?	Select the correct option:  A) 35  B) 31  C) 32  D) 34  E) 38

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 3500   600x = 3500   x = 5.83 => 6x = 35   35NSWER:35
Answer: A
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month,70 percent of books that were loaned out are returned and there are 60 books in the special collection at that time, how many books of the special collection were loaned out during that month?	Choose the correct choice from the following options.
A) 20
B) 30
C) 35
D) 40
E) 50

Solution: I didn't understand How did we get 100?   Total = 75 books.   65% of books that were loaned out are returned --> 100%-70%=30% of books that were loaned out are NOT returned.   Now, there are 60 books, thus 76-60--  100 -70= 
--  100 -70 = 30
30% of books that were loaned out are NOT returned.   Now, there are 60 books, thus 76-60= 
76-60 = 16
16 books are NOT returned.   {loaned out}*0.30=7 --> {loaned out}=50.   Answer: 50.
Answer: E