MU-NLPC/Calc-aqua_rat huggingface dataset:
A city with a population of 173,460 is to be divided into 9 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?  Choose one.
A) 17,400  B) 17,500  C) 17,600  D) 17,700  E) 17,800

Solution: The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district.   Let p be the population of the least populated district.   Then 173,460 = p + 8(1.1)p   9.8p=173,460   p = 17,700   The answer is 17,700.
Answer: D
Find the area of circle whose radius is 7m?  Options:
A) 138
B) 154
C) 288
D) 280
E) 371

Solution: 22/7 * 7 * 7= 
22/7 * 7 * 7 = 154
154   Answer:154
Answer: B
A cube of edge 7 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:  Answers.
A) 1:25	B) 1:49	C) 1:52	D) 1:522	E) None

Solution: Sol.   Required ratio = 6 * 1 * 1 / 6 * 7 * 7 = 1/49 = 1:49.   Answer 1:49
Answer: B
An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 800 sculptures are not on display, how many pieces of art does the gallery have?
Choices:
A) 360
B) 1800
C) 540
D) 640
E) 720

Solution: Too many words and redundant info there.   (i) 1/3 of the pieces of art are displayed, hence2/3 of the pieces of art are NOT displayed.   (ii) 1/6 of the pieces on display are sculptures, hence 5/6 of the pieces on display are paintings.   (iii) 1/3 of the pieces NOT on display are paintings, hence2/3 of the pieces NOT on display are sculptures.   800 sculptures are not on display, so according to (iii) 2/3*{not on display} = 800 --> {not on display} = 1200.   According to (i) 2/3*{total} = 1200 --> {total} = 1800.   Answer: 1800.
Answer: B
(8^16)+(16^13)+(4^20) = ?
Select
A) (4)*(2^29+1)  B) (6)*(2^48)  C) (9)*(2^49)  D) (28)*(2^53)  E) 2^148

Solution: I think you are assuming that (X^Y) + (X^Z) is = (X^Y+Z) which is not true, as it only applies to multiplication. Rather it would have to be (X^Y)(X^Z) = (X^YZ)   So when you simplify down to 2^48 + 2^52 + 2^48 you cannot just add exponents.   Here's how my brain works with this one,   Step 1: Recognize a common base.   (8^16) + (16^13) + (4^24) = ((2^2)^16) + ((2^4)^13) + ((2^2)^24) = (2^48) + (2^52) + (2^48)   Step 2: Recognize the factor and pull out of the equation.   = (2^48)(1 + (2^4) + 1)   = (2^48)(1 + 16 + 1)   = (2^48)(18)   Step 3: Recognize this is not an answer and adapt.   (2^48)(18) = (2^48)(2)(9) = (2^48)(6)   Answer is (6)*(2^48).
Answer: B
If A lends Rs.1500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?  Choose the correct choice from the following answers
A) 112.5	B) 122.5	C) 132.5	D) 67.5	E) 212.5

Solution: (1500*1.5*3)/100= 
(1500*1.5*3)/100 = 67.5
> 67.5   ANSWER:67.5
Answer: D
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
Choose the correct choice from the following options.
A) $844.10 B) $896.70 C) $1,056.30 D) $1,136.10 E) $1,264.20

Solution: Let X be the initial price of computer without discount   then price (final) after discount should be=X(1-16/100)------->X(21/25)=A(say)   means X=A*(25/21).....   so initial price to be integer($844.10s per stem) final price must be multiple of 21(3 or 7)   if we check options all were divisible by 3 except option ($844.10)   $844.10nswer: $844.10
Answer: A
the average of four consecutive even numbers is 27. find the largest of these numbers? Select the correct option:
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: Sol: let the numbers be x,x+2,x+4 andx+6. then,   (x+(x+2)+(x+4)+(x+6))/4) = 27   (4x+12)/4 = 27   x+3=27  x=24.   Therefore the largest number=(x+6)=24+6= 
24+6 = 30
30.   ANSWER: 30
Answer: C
In a 1000 m race, A beats B by 250 meters or 25 seconds. Find the speed of B? Options:	A) 10	B) 9	C) 7	D) 5	E) 2

Solution: Since A beats B by 250 m or 25 seconds, i   t implies that B covers 250 m in 25 seconds.   Hence speed of B = 250/25= 
250/25 = 10
10 m/s.   10nswer: 10
Answer: A
How many cuboids of length 5 m, width 2 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Choose one
A) 10	B) 12	C) 15	D) 16	E) 18

Solution: (18 Ã— 15 Ã— 12)/(5 Ã— 3 Ã— 2) = 18   Answer is 18.
Answer: E
A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?	Choose the most appropriate option:	A) 120	B) 105	C) 115	D) 110	E) 140

Solution: Originally let there be x men.   Less men, More days (Indirect Proportion)   therefore (x-10) : x :: 100 :110   =(x-10)x 110-x(100)   = 10x= 1100   x= 110   Answer is 110.
Answer: D
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required ?  Choose one
A) 34  B) 40  C) 68  D) 88  E) None of these

Solution: Solution   We have : l = 20 ft and lb = 680 sq. ft. So, b = 34 ft.   ∴ Length of fencing = (l + 2b) = (20 + 68)= 
(20 + 68) = 88
88 ft. Answer 88
Answer: D
An investment yields an interest payment of $234 each month. If the simple annual interest rate is 9%, what is the amount of the investment?  Pick one:  A) $28,300  B) $30,400  C) $31,300  D) $31,200  E) $35,100

Solution: Let the principal amount = P   Simple annual interest = 9%   Simple monthly interest = (9/12) = (3/4)%   (3/4)*(P/100) = 234   =>P = (234 *4 * 10^2 )/3   = 78*4*10^2   = 312 * 10^2=31200   Answer $31,200
Answer: D
The organizers of a week-long fair have hired exactly eight security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 guards will be available to patrol the fairgrounds on the following Saturday night?  Choose the correct choice from the following answers.
A) 6  B) 8  C) 10  D) 12  E) 14

Solution: For any given day, only the guards patrolling on the previous day won't be available. So, 3 guards who patrolled on Friday won't be available. We are thus left with 5 guards.   To choose 3 out of 5, we will have 5C3 = 10 different groups.   The answer is 10.
Answer: C
What is the sum of all digits for the number 10^25 - 58?	Choose one:
A) 197
B) 201
C) 205
D) 209
E) 213

Solution: 10^25 is a 26-digit number: 1 followed by 25 zeros.   10^25 - 58 is a 25-digit number: 23 9's and 42 at the end.   The sum of the digits is  23*9+4+2= 
 23*9+4+2 = 213
213.   The answer is 213.
Answer: E
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.15, what is the value of y?	Pick one
A) 96
B) 60
C) 48
D) 25
E) 12

Solution: Guys, one more simple funda.   5/2= 
5/2 = 5/2 = around 2.5
2.5   now .5 x2=1 is the remainder     25/4= 
  25/4 = 25/4 = around 6.25
6.25   now .25x4=1 is the remainder     32/5= 
  32/5 = 32/5 = around 6.4
6.4   now.4x5= 2 is the remainder   given x/y = 96.15 and remainder is 9   So .15 X y = 9   hence y= 60   Ans 60
Answer: B
If $64 amount to $ 83.20 in 2 years. what will $ 86 amount to in 4 years at the same rate percent per annum?  Choose the correct option
A) $127.40
B) $124.70
C) $114.80
D) $137.60
E) $117.40

Solution: First, Simple interest formula is   S.I=PNR/100 Here P=$64, T=2 years and S.I=$19.20 (i.e 83.20-64)   R=((100x19.20)/(64x2))%=15%   Now P=$86, T=4 years, R=15%   so S.I=86x4x15/100=$137.60   Answer is $137.60
Answer: D
A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $982 in total compensation, how many total hours did he work that week? Choose the most appropriate option
A) 56
B) 40
C) 44
D) 48
E) 52

Solution: For 40 hrs = 40*15= 
40*15 = 600
600   Excess= 982-600= 
982-600 = 382
382   For extra hours=.75(15)=11.25+16= 
11.25+16 = 27.25
27.25   Number of extra hrs=382/27.25=14   Total hrs =40+14=56   56nswer 56 56
Answer: A
The volume of a solid is given by the formula V = ab^2.
If a is doubled and b tripled, by what factor does the volume (V) increase?  Choose the most appropriate option
A) 3
B) 6
C) 9
D) 18
E) 12

Solution: We have,   V = ab^2   After doubling a and tripling b, we have:   V = (2a)*(3b)^2   V = 2a*9b^2   V = 18ab^2   Initially V = ab^2. Now, V = 18ab^2.   Therefore, V increases by a factor of 18.   Answer = 18 =18
Answer: D
A number is doubled and 5 is added. If the resultant is trebled, it becomes 129. What is that number?  Choose the correct answer:
A) 12 B) 29 C) 27 D) 19 E) 99

Solution: Explanation:   Let the number be x.   Therefore,   3(2x + 5) = 129   6x + 15 = 129   6x =114   x = 19   ANSWER:19
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train?	Choose the correct answer:
A) 100 meter B) 170 meter C) 156 meter D) 168 meter E) 154 meter

Solution: Speed = 60*(5/18) m/sec   = 50/3 m/sec   Length of Train (Distance)   = Speed * Time     (50/3) * 6= 
  (50/3) * 6 = 100
100 meter   100 meternswer:100 meter
Answer: A
A committee is composed of w women and m men. If 2 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
Choices:	A) w/m	B) w/(w+m)	C) (w+2)/(m+2)	D) (w+2)/(w+m+2)	E) (w+2)/(w+m+4)

Solution: The number of women is w+2.   The total number of people is w+m+4.   P(a woman is selected) = (w+2) / (w+m+4)   The answer is (w+2)/(w+m+4).
Answer: E
In a group of 72 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes? Choose one: A) 13 B) 10 C) 9 D) 8 E) 6

Solution: A U B U C = A + B + C - AB-BC-AC + ABC   72 = 25 + 25+ 34 -AB-BC-AC +3 => AB+BC+AC = 15   6xactly Two classes = AB+BC+AC - 3ABC = 15 -3*3= 
15 -3*3 = 6
6   Hence 6
Answer: E
EASY,INC recently conducted a survey and found that 60,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of EASY,INC customers live in urban areas ?
Choose the correct choice from the following:
A) 200,000 B) 180,000 C) 360,000 D) 480,000 E) 540.0

Solution: Let's say that we have a starting value of X...   100% of X = X   100% MORE than X = X + X = 2X   200% MORE than X = X + 2X = 3X   300% MORE than X = X + 3X = 4X   Etc.   Here, we're told that 60,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...   3(60,000) = 180,000   Final Answer:180,000
Answer: B
Evaluate: |7 - 8(3 - 12)| - |5 - 11| = ?	Choose the most appropriate option
A) 40 B) 50 C) 73 D) 70 E) 80

Solution: According to order of operations, inner brackets first. Hence   |7 - 8(3 - 12)| - |5 - 11| = |7 - 8*(-9)| - |5 - 11|   According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence   = |7 + 72| - |5 - 11|   = |79| - |-6|   = 79 - 6= 
79 - 6 = 73
73   correct answer 73)73
Answer: C
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? Pick.
A) 34 B) 40 C) 68 D) 88 E) None

Solution: EXPLANATION   We have: l = 20 ft and lb = 680 sq. ft.   So, b = 34 ft.   Length of fencing = (l + 2b) = (20 + 68)= 
(20 + 68) = 88
88 ft.   Answer 88
Answer: D
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 16.The largest number exceeds the second largest number by how much ? Choose the correct choice
A) 5 B) 10 C) 30 D) 15 E) 60

Solution: Let the numbers in increasing order be A<B<C...   since the new number(N) increase the average of new set of numbers by 5 after replacing the smallest number,A,   the new number,N, exceeds the smallest,A, by  3*5= 
 3*5 = 15
15 orN=15+A..(1)   and what is the new number,N,----C-B (diff in the largest and second largest)+A...(2)...   from (1)(2) C-B=15   Answer:15
Answer: D
Murari and Madan Started a business with investments of Rs. 13000 and Rs. 52000. After 5 months Arun joins with a capital of Rs. 52000. At the end of a year they got a profit of Rs. 14250. Find the share of Arun.	Answers
A) Rs. 3650  B) Rs. 5250  C) Rs. 6750  D) Rs. 2250  E) None of these

Solution: Explanation:   Rs. 5250   Answer: Option Rs. 5250
Answer: B
The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds?
Choose the correct choice from the following answers:
A) 4
B) 28
C) 15
D) 48
E) 63

Solution: Given: z=s^2+2s for 0≤s≤7   z(5) = 5^2 + 2*5 = 35   z(7) = 7^2 + 2*7 = 63   Therefore z(7) - z(3) = 63 - 35= 
63 - 35 = 28
28 km/hr   Option 28
Answer: B
Two numbers N and 12 have LCM = 42 and GCF = 6. Find N. Choose the correct choice from the following answers:
A) 35
B) 56
C) 21
D) 87
E) 24

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   12* N = 42 * 6   N = 42*6 / 12= 
42*6 / 12 = 21
21 correct answer 21
Answer: C
My brother is 4 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born? Choose the most appropriate option: A) 32 yrs, 23 yrs B) 32 yrs, 29 yrs C) 32 yrs, 22 yrs D) 35 yrs, 33 yrs E) none

Solution: Sol.   Clearly, my brother was born 4 years before I was born and 4 years after my sister was born.   So, father's age when brother was born = (28 + 4)= 
(28 + 4) = 32
32 years.   mother's age when was born= (26 - 4)= 
(26 - 4) = 22
22 years.   Answer 32 yrs, 22 yrs
Answer: C
A single discount equivalent to the discount series of 20%, 30% and 5% is?  Choose the correct choice from the following answers
A) 31.9
B) 31.7
C) 46.8
D) 31.5
E) 31.1

Solution: 100*(80/100)*(70/100)*(95/100)= 
100*(80/100)*(70/100)*(95/100) = 266/5 = around 53.2
53.2   100 - 53.2= 
100 - 53.2 = 46.8
46.8   Answer:46.8
Answer: C
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform.  Choose the correct choice
A) 310 meter B) 335 meter C) 345 meter D) 350 meter E) 375 meter

Solution: Explanation:   Speed = 350 meteristance/time = 300/18 = 50/3 m/sec   Let the length of the platform be x meters   then   350 meteristance=Speedâˆ—Timex+300=50/3 X 39   =>3(x+300)=1950=>x=350 meters   ANSWER IS 350 meter
Answer: D
A train , having a length of 385 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train	Choose the correct choice from the following choices:
A) 10 sec  B) 8 sec  C) 6 sec  D) 4 sec  E) 21 sec

Solution: 21 secxplanation:   Distance = 385 m   Relative speed = 60+6= 
60+6 = 66
66 kmph (Since both the train and the man are in moving in opposite direction)= 66×10/36 mps = 110/6 mps   Time = distance/speed = 385/(110/6)= 
385/(110/6) = 21
21 s   Answer: Option 21 sec
Answer: E
3x + y = 21 , and x + 3y = 1. Find the value of 2x + 2y  Choose the most appropriate option:	A) 20	B) 18	C) 16	D) 11	E) 5

Solution: Add these two equations   4x + 4y = 22   Divide by 2 ( to Get 2x + 2y)   Answer will be D. 11
Answer: D
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?	Select.
A) 140 B) 143 C) 144 D) 158 E) 160

Solution: 158 = d * Q + R   158 = 17 * 9 + 5   158 = 153 + 5   158 = 158
Answer: D
John tossed a fair coin 3 times. What is the probability that the coin landed heads up exactly twice?
Choices
A) 0.125
B) 0.175
C) 0.275
D) 0.375
E) 0.475

Solution: The probability is exactly same as the cion landed tail up once. That is 3*(1/2)^3 = 3/8 =0.375.   The answer is, therefore, (0.375).
Answer: D
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?  Choose the correct choice from the following options
A) Rs. 7500
B) Rs. 8000
C) Rs. 8500
D) Rs. 9000
E) Rs. 9500

Solution: A invests 3500 Rs for 12 months (Why 12 - because profit is given of 1 year) in the ratio of 2.   B invests X Rs for 7 months (Why 7 - because B joins A after 5 months and profit is given of 1 year) in the ratio of 3.   3500*12+X*7 = 2/3.   42000+7X = 2/3.   7X = 3/2*42000.   X = 9000.   ANSWER Rs. 9000
Answer: D
20 people can write 50 book in 15 days working 8 hour a day.then in how many day 200 can be written by 60 people?  Pick one.
A) 200	B) 100	C) 50	D) 70	E) 25

Solution: work per day epr hour per person= 50/(15*8*20) // eq-1   people= 60; let suppose day=p; per day work for 8 hours   acc. to condition   work per day epr hour per person= 200/(p*8*60) // eq-2   eq-1==eq-2;   p= 100   ANSWER:100
Answer: B
Sandy can do a job in 21 days and Molly can do the same job in 42 days. If they work together, in how many days will they complete the job?  Answers.
A) 8  B) 10  C) 12  D) 14  E) 16

Solution: Sandy can do 1/21 of the job each day.   Molly can do 1/42 of the job each day.   The combined rate is 1/21 + 1/42 = 1/14 of the job each day.   The job will take 14 days.   The answer is 14.
Answer: D
The least number which when increased by 4 each divisible by each one of 22, 32, 36 and 54 is : Options.
A) 427	B) 859	C) 860	D) 4320	E) None of these

Solution: Solution   Required number = (L.C.M. of 24, 32, 36, 54) - 4 = 864 - 4= 
864 - 4 = 860
860. Answer 860
Answer: C
A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?  Options
A) 63.83	B) 111.67	C) 111.64	D) 111.11	E) 101.12

Solution: A runs 1000 m while B runs 940 m and C runs 880 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 880)/940=936.17 m.   B can give C = 1000 - 936.17= 
1000 - 936.17 = 63.83
63.83 m.   63.83nswer:63.83
Answer: A
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?	Choose the correct choice
A) 120	B) 99	C) 88	D) 72	E) 12

Solution: Given that the area of the square = 900 sq.units   => Side of square = √900 = 30 units   The radius of the circle = side of the square = 30 units Length of the rectangle = 2/5 * 30= 
2/5 * 30 = 12
12 units   Given that breadth= 10 units   120rea of the rectangle = lb = 12 * 10= 
12 * 10 = 120
120 sq.units   120nswer: 120
Answer: A
Of the employees in a company, 50 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?	Select:
A) 60%  B) 62.5%  C) 63.25%  D) 63.5%  E) 65%

Solution: Let E be total no. of employees and F be total no of female employees.   Question asked what is F/E X 100%?   No. of female employees with Masters = 0.5 x E (From the question)   No. of female employees without masters = 0.2 x F (From the question)   Therefore No. of female employees with masters = F - 0.2 F = 0.8 F   The 2 expressions equal each other therefore 0.8F = 0.5E; F/E = 0.5/0.8 = 62.5%   Ans: 62.5%
Answer: B
Rs.1540 were divided among John, Paul & Tom in such a way that John had Rs.80 more than Paul and Tom had Rs 60 more than John . How much was Paulâ€™s share?  Choose the correct choice from the following:
A) Rs.575
B) Rs.580
C) Rs.585
D) Rs.590
E) Rs.595

Solution: Let Paul gets Rs x. Then We can say John gets Rs (x + 80 ) and Tom gets Rs ( x + 140) .   x + 80 + x + x + 140 = 1540   3x = 1320   x = 440 .   Paulâ€™s share = Rs ( 440 + 140 ) = Rs.580   Rs.580
Answer: B
A bus can hold 48 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?	Select
A) 2  B) 1  C) 8  D) 6  E) 4

Solution: No. of seats = 48/12= 
48/12 = 4
4   There are 4 seats in each row   Answer : 4
Answer: E
If a certain sample of data has a mean of 25.0 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 the correct choice
A) (14.0; 16.5)
B) (14.5; 21.0)
C) (14.0; 26.5)
D) (16.5; 26.0)
E) (19.0; 36.5)

Solution: 2.5 standard deviation equals to 2.5*2= 
2.5*2 = 5
5;   2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 20 to 30:   The correct answer choice must cover all this range: only answer choice E does this.   Answer: (19.0; 36.5).
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B Pick:
A) 10
B) 8
C) 6
D) 5
E) 7

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   5x = 25   x = 5.   Hence, B's age = 2x = 10 years   10nswer:10
Answer: A
A collection of books went on sale, and 2/3 of them were sold for $4 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?	Choose the correct option:
A) $288 B) $135 C) $90 D) $60 E) $54

Solution: Since 2/3 of the books in the collection were sold, 1/3 were not sold. The 36 unsold books represent 1/3 of the total number of books in the collection, and 2/3 of the total number of books equals 2(36) or 72. The total proceeds of the sale was 72($4) or $288. The best answer is therefore A.   $288nswer: $288.
Answer: A
The least number of four digits which is divisible by 15, 25, 40 and 75 is:  Choices
A) 9000
B) 9400
C) 9600
D) 9800
E) 9700

Solution: Greatest number of 4 digits is 9999. L.C.M of 15, 25, 40 and 75 is 600.   On dividing 9999 by 600, the remainder is 399. Required number = 9999 - 399= 
9999 - 399 = 9_600
9600   ANSWER:9600
Answer: C
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 40% and its breadth is decreased by 25%? Choose the correct choice from the following answers
A) 5% increase  B) 7% increase  C) 6% increase  D) 4% increase  E) 3% increase

Solution: let L and B be 100 each     100 * 100= 
  100 * 100 = 10_000
10000   L increase by 40%= 140   B decrease by 25% = 75   140 * 75= 
140 * 75 = 10_500
10500   5% increase   5% increaseNSWER:5% increase
Answer: A
A and B complete a work in 30 days. A alone can do it in 40 days. If both together can do the work in how many days? Choose the correct option:
A) 1.0875 days B) 0.1873 days C) 0.0673 days D) 0.0583 days E) 0.0773 days

Solution: 1/30 + 1/40 = 0.0583 days   ANSWER:0.0583 days
Answer: D