MU-NLPC/Calc-aqua_rat huggingface dataset:
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent Q of the interns report no feelings of tiredness during their shifts? Select
A) 6  B) 14  C) 19  D) 20  E) 81

Solution: < 6 hours sleep>= 6 hours sleepTOTAL   Tired75--   Not Tired-0.7*X?   TOTAL80X100   Interns who receive< than 6 hours sleepandNot Tired= 80 - 75= 
80 - 75 = 5
5;   TOTAL interns who receive >= 6 hours sleep= 100 - 80= 
100 - 80 = 20
20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20= 
0.7 * 20 = 14
14;   Interns who areNot Tired Q= 5 + 14= 
5 + 14 = 19
19.   Answer: 19.
Answer: C
ABCD is a square where AB =âˆš4008. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.	Choose the correct choice from the following answers.
A) 3008	B) 2004	C) 1008	D) 2016	E) 3000

Solution: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is   always   4008/2= 
4008/2 = 2_004
2004 .   correct answer 2004
Answer: B
If x, y, and z are positive integers such that x^2 + y^2 + z^2 = , which of the following could be the values of x, y, and z?
I)x=10 y=20 z=30
II)x=5 y=30 z=13
III)x=20 y=-30 z=10	Choose the correct option:
A) I only	B) II only	C) III only	D) I​ and II	E) I and III

Solution: The x,y and z are easiest number,so it is easy to find the squares of the values.   Here III) option gives y=-30..(30^2) and(-30^2) are equal.   Answer is option I and III
Answer: E
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choose the correct choice from the following.
A) 30
B) 40
C) 70
D) 80
E) 60

Solution: round trip means 2 trips i.e.to and fro. He has completed one i.e 50% completed. then he traveled another 40% of 50% i.e 20%. so he completed   50 +20= 
  50 +20 = 70
70 % of total trip   70
Answer: C
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?	Select:
A) 12.7
B) 16.5
C) 12.3
D) 12.5
E) 12.1

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   Answer: 12.5
Answer: D
70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 26.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choose one.
A) one	B) two	C) three	D) four	E) five

Solution: The most time consuming part in this question is to define the mean. Under exam pressure and time pressure it is very easy to make mistake.   it is easier to group numbers:  130*3= 
 130*3 = 390
390; 105*2=210; 75+85=160; 70+80=150; 90;   Next stage combine results, again using more convenient ways to calculate: 390+210= 
390+210 = 600
600; 160+150=310; 90. 600+310+90=1000. Since there are 10 numbers the mean is 100. Questions asks to find the quantity of numbers one SD BELOW the mean, which is 100-26,4=73,6. There are only two numbers below 73,6. The answer is two
Answer: B
What is the remainder when (55)(57) is divided by 8?	Select the correct option:
A) 1  B) 2  C) 4  D) 5  E) 7

Solution: (55)(57) = (56-1)(56+1) = 56^2 - 1 which is 1 less than a multiple of 8.   Then the remainder will be 7.   The answer is 7.
Answer: E
If 40 sheep eat 40 bags of grass in 40 days. In how many days one sheep will eat one bag of grass? Choose the correct choice from the following answers:
A) 1
B) 20
C) 40
D) 80
E) 70

Solution: Explanation :   Let the required number of days be x.   Less sheep, More days (Indirect Proportion)   Less bags, Less days (Direct Proportion)   Sheep 1 : 40 :: 40 : x   Bags 40 : 1   1 x 40 x x = 40 x 1 x 40   x = 40.   Answer : 40
Answer: C
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time? Choices.
A) 10 Kmph  B) 15 Kmph  C) 25 Kmph  D) 27 Kmph  E) 30 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distence of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   15 Kmph
Answer: B
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?  Choose the correct option:  A) 850  B) 860  C) 890  D) 900  E) 950

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Option 860
Answer: B
If (1/5)^m * (1/4)^4 = 1/(16*(10)^4), then m =  Choose the correct choice.
A) 3	B) 2	C) 1	D) 4	E) 8

Solution: (1/5)^m (1/4)^4 = 1/{16(10)^4}   16(10)^4/4^4 = 5^m   [16(2^4)(5^4)]/[2^8] = 5^m   5^4 = 5^m   m=4   4
Answer: D
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
Pick one.
A) 25kmph B) 30kmph C) 32kmph D) 40kmph E) 42kmph

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   Average speed = 4x/(x/8)   = 32 kmph   Answer:32kmph
Answer: C
Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?
Choose the correct choice from the following choices.
A) X/8
B) X/7
C) X/6
D) X/5
E) X/4

Solution: Since the total number of skeins is X, then X = X/7lue + Yellow + Red   X/7ecause there are twice as many X/7lue as Yellow, then X/7lue = 2*Yellow   Thus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red   X/7ecause there are twice as many Yellow as Red, then Yellow = 2*Red   Thus X = 3*(2*Red) + Red, which simplifies to X = 7*Red   Therefore Red = X/7   Answer: X/7
Answer: B
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?	Choose the correct choice from the following answers:
A) 15 kmph	B) 11 kmph	C) 16 kmph	D) 18 kmph	E) 19 kmph

Solution: Speed of the boat in still water = (50+80)/2= 
(50+80)/2 = 65
65 kmph. Speed of the stream= (80-50)/2= 
(80-50)/2 = 15
15 kmph.15 kmphnswer: 15 kmph
Answer: A
The ratio, by volume, of bleach(B) to detergent(D) to water in a certain solution is 2 : 40 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
Choose the correct choice:	A) 60	B) 50	C) 40	D) 80	E) 70

Solution: B:D:W = 2:40:100   Bnew / Dnew = (1/3)*(2/40) = (1/60)   Dnew / Wnew = (1/2)*(40/100) = (1/5)   Wnew = 300   Dnew = Wnew/5 = 300/5= 
300/5 = 60
60   So, answer will be   60
Answer: A
If m<0, which of the following represents a positive number?
Choose the correct choice from the following answers.
A) -d|d|	B) d/ |d|	C) |d|d	D) |d|/d	E) d|d|

Solution: -d|d|nswer : -d|d|
Answer: A
Find the simple interest on $10000 at 7% per annum for 12 months?	Choose the correct choice from the following options.
A) $410	B) $500	C) $650	D) $700	E) $1000

Solution: P = $10000   R = 7%   T = 12/12= 
12/12 = 1
1 YEAR   S.I.= P*R*T/100 = 10000*7*1/100= 
10000*7*1/100 = 700
$700   Answer is $700
Answer: D
In how many ways can the letters D, G, G, I, T be arranged so that the two I's are not next to each other?  Choose the correct choice:
A) 36  B) 48  C) 72  D) 96  E) 128

Solution: 1 D   2 I   1 G   1 T   Number of ways these letters can be arranged = 5!/2! (2! to account 2 same Is) = 60   Consider 2 Is as 1 entity and thus the number of arrangements for (GG)DIT = 4! = 24   Total allowed cases = 60-24= 
60-24 = 36
36   36 is the correct answer.
Answer: A
A positive integer x has 60 divisors and 7x has 80 divisors. What is the greatest integer y such that 7y7y divides n? Choose one:  A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Total number of factors of x = 60 = (p+1)*(q+1)*(r+1)... = 2^2 * 3 * 5   Now note that 7x has only one 7 more than x. The number of all other prime factors stays the same.   Total number of factors of 7x = 80 = (p+2)*(q+1)*(r+1)... = 2^4 * 5   Here, the 3 of previous expression has disappeared so it must have converted to 4. Does it make sense? Let's see:   Total number of factors of x = 60 = 2^2 * 3 * 5 = (3+1)*(2+1)*(4+1)   Total number of factors of 7x = 80 = 2^2 * 4 * 5 = (3+1)*(3+1)*(4+1)   The powers of other factors stay the same. Only the power of 7 increases by 1. So initially, in x, the power of 7 must have been 2. Hence the maximum value of y must be 2.   Answer (2)
Answer: C
A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 10.If he got 230 marks in two subjects together how many marks did he got in English? Choices:
A) 140,90
B) 180,60
C) 160,90
D) 150,80
E) None of them

Solution: Let Arunâ€™s marks in mathematics and English be x and y   Then (1/3)x-(1/2)y=10   2x-3y=60â€¦â€¦>(1)   x+y=230â€¦â€¦.>(2)   solving (1) and (2)   x=150   and y=80   Answer is 150,80.
Answer: D
The C.P of 10 pens is equal to the S.P of 14 pens. Find his gain % or loss%? Choose the correct answer
A) loss 16 2/8%	B) loss 28.57%	C) loss 16 2/3%	D) loss 18 2/3%	E) loss 16 25%

Solution: 10 CP = 14 SP   14 --- 4 CP loss   100 --- ? => 28.57% loss   Answer:loss 28.57%
Answer: B
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/1 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
Choose the correct choice from the following choices
A) 45
B) 65
C) 98
D) 107
E) 198

Solution: Rakesh : Rahul : Ranjan : Rohit = 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5   Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.   Step 2: Then pencil are distributed in ratio among friends,   Rakesh = ( 1 / 1 x 60 ) = 60.   Rahul = ( 1 / 3 x 60 ) = 20.   Ranjan = ( 1 / 4 x 60 ) = 15.   Rohit = ( 1 / 5 x 60 ) = 12.   Step 3: Total number of pencils are ( 60 x + 20 x + 15 x + 12 x) = 107 x.   For minimum number of pencils x = 1 .   The person should have at least 107 pencils.   107)
Answer: D
If x and y are odd integers, which of the following must always be a non-integer
Select:  A) x^2 y  B) -x^2y  C) y/x  D) xy/4  E) x/y

Solution: as X and Y are odd, multiplication of x and y would result in odd integer   (Odd Integer)/4 will always be non integer.   xy/4
Answer: D
What is the compound interest paid on a sum of Rs.3500 for the period of 2 years at 10% per annum. Choose the most appropriate option:
A) 630  B) 735  C) 825  D) 600  E) None of these

Solution: Solution= Interest % for 1st year= 10   Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100= 
10+ 10 *10/100 = 11
11   Total % of interest= 10 + 11= 
10 + 11 = 21
21   Total interest= 21 % 3500 = 3500* (21/100)= 
3500* (21/100) = 735
735   Answer 735
Answer: B
After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 4860. What was the number of original inhabitants?  Select.
A) 7000  B) 7200  C) 7400  D) 7600  E) 7800

Solution: Let the total number of original inhabitants be x.   (75/100) * (90/100) * x = 4860   (27/40) * x = 4860   x = 4860 * 40 / 27= 
4860 * 40 / 27 = 7_200
7200   The answer is 7200.
Answer: B
Which of the following points is symmetric with y=x at (-2,-3)? Choose the correct choice from the following choices:	A) (-3,-2)	B) (-2,1)	C) (2,1)	D) (-1,-2)	E) (-1,2)

Solution: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.   (-2,-3) would become (-3,-2).   (-3,-2)nswer ((-3,-2)).
Answer: A
Find the odd man out. 12, 24, 34, 48, 64, 84  Choose the correct choice from the following options
A) 34
B) 48
C) 24
D) 12
E) 64

Solution: 34ll numbers except 34 are multiples of 4   34nswer is 34
Answer: A
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:  Choose one:  A) 20 m  B) 22 m  C) 32 m  D) 40 m  E) 30 m

Solution: Distance covered by B in 9 sec. =(100/45 x 9) m = 20m   THEREFORE - A beats B by 20 metres.   20 mNSWER:20 m
Answer: A
John purchased some shirts and trousers for $800. He paid $400 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?
Pick one:
A) 4  B) 5  C) 6  D) 7  E) 10

Solution: Given that the total purchase of two items cost 800.   So the average purchase of one item will cost  800/2= 
 800/2 = 400
400.   Its given as total shirt cost 400$ less. Hence Total Shirt cost= 400 - 200 and Total trouser cost = 400 + 200   5 shirts = 200$ ==> One shirt = 40$   One trouser = 40 + 20= 
40 + 20 = 60
60$   Total trousers= 600 / 60= 
600 / 60 = 10
10.   10
Answer: E
A man spends 1/3rd of his salary on food. he spends 1/4th on rent and 1/5th on cloths. If he is left with 1760, then who much salary does he earn.  Choose the correct option.
A) 8120  B) 8123  C) 8222  D) 8322  E) 8422

Solution: let salary be x   total spent=( x/3 + x/4 +x/5 )= (47/60)*x   left = (x-47x/60)=(13/60)*x   given,(13/60)*x = 1760   x=(1760*60)/13=8123.077=8123(approax)   ANSWER:8123
Answer: B
A car gets 24 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?	Pick one: A) 96 B) 100 C) 104 D) 108 E) 112

Solution: Originally, the distance the car could go on a full tank was   12*24= 
  12*24 = 288
288 miles.   After it has been modified, the car can go  24/0.75= 
 24/0.75 = 32
32 miles per gallon.   On a full tank, the car can go  32*12= 
 32*12 = 384
384 miles, thus 96 miles more.   The answer is 96.
Answer: A
240 is increased by 20%. Find the final number. Choices.
A) 200	B) 210	C) 180	D) 288	E) 220

Solution: ExplanationFinal number = Initial number + 20%(original number) = 240 + 20%(240) = 240 + 48= 
240 + 48 = 288
288.Answer 288
Answer: D
In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 250 more than the correct answer. Find the number. Choose the correct choice from the following answers:	A) 125	B) 280	C) 384	D) 480	E) 500

Solution: Explanation:   Let the number be x.   5*x/6 = 5*x/16 + 250   25*x/48 = 250   x = 480   ANSWER 480
Answer: D
The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is? Choose one:
A) Rs. 17111 crore	B) Rs. 11121 crore	C) Rs. 11111 crore	D) Rs. 12111 crore	E) Rs. 11611 crore

Solution: Explanation:   {M+A+S}{3}=11111   {S+M}{2}=11111 (\inline \because M - 11111 = 11111 - S)   Rightarrow A = 11111   Answer: Rs. 11111 crore
Answer: C
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 50hr. If all pipes are opened simultaneously, then the cistern will be filled in
Pick one:
A) 6.12 hr
B) 8 hr
C) 8.5 hr
D) 10 hr
E) None of these

Solution: Solution:   Work done by all the tanks working together in 1 hour.   1/10+1/12−1/50=8/49   Hence, tank will be filled in 49/8=6.12 hour   Option(6.12 hr)
Answer: A
A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?  Choose the correct answer:
A) 125 miles B) 225 miles C) 325 miles D) 425 miles E) 525 miles

Solution: During each hour, the car travels 65 miles. For 5 hours it will travel   65 + 65 + 65 + 65 + 65 = 5 × 65 = 325 miles   correct answer is 325 miles) 325 miles
Answer: C
The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages
Answers.
A) 14 years, 30 years
B) 12 years, 28 years
C) 16 years, 34 years
D) 18 years, 38 years
E) none of these

Solution: Let Rahul’s age = x years   So, Madhan’s age = ( x + 16 )years   14 years, 30 yearslso, 3(x - 6) = x + 16 - 6 or, x = 14   Rahul’s age = 14 years   14 years, 30 yearsnd, Madhan’s age   14 + 16= 
  14 + 16 = 30
30 years   14 years, 30 yearsNSWER:14 years, 30 years
Answer: A
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.	Choose the correct choice from the following answers:
A) 25 years B) 16 years C) 8 years D) 6 years E) 12 years

Solution: Sol. Total age of 39 persons = (39 x 15) years   = 585 years.   Average age of 40 persons= 15 yrs 3 months   = 61/4 years.   Total age of 40 persons = (_(61/4 )x 40) years= 610 years.   :. 25 yearsge of the teacher = (610 - 585)= 
(610 - 585) = 25
25 years   25 yearsns: 25 years
Answer: A
If .005^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?  Select the correct option
A) 0	B) 8	C) 9	D) 10	E) 11

Solution: 0.005^5= (5*10^-3)^5 = 3125*10^-15 = 0.3125*10^-11 which would have 11 zeros to the right of the decimal point. The answer is 11.
Answer: E
Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 14 years older than Larry, how old is Annie?
Choose the correct choice from the following options
A) 7	B) 12	C) 19	D) 26	E) 34

Solution: J = L+14   (1) 2(7+3) = L+3   (2) 3(7+5) = J+5 = L+19   Let's subtract equation (1) from equation (2)   7+9= 
7+9 = 16
16   7= 7   The answer is 7.
Answer: A
The ratio of boys to girls in Class A is 5 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?	Choices
A) 8	B) 9	C) 10	D) 11	E) 12

Solution: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.   so ans can either be 8 0r 12.   With 8 as answer - no of girls = 8   With 12 as answer - no of girls = 12   Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.   So we are looking for number of girls in B to be divisible by 5.   With 8 as answer -> Girls = 8-2= 
8-2 = 6
6. (Not possible)   With 12 as answer -> Girls= 12-2 = 5.   So, answer = 11. ( 11)
Answer: D
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?	Choose the correct choice from the following answers
A) 33 B) 88 C) 20 D) 99 E) 77

Solution: 1/3 ---- 6   1 -------? A = 18   R = 1/18 * 60/100 = 1/30   1 ----- 1/30   2/3 ----? => 20 days   Answer:20
Answer: C
A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?	Choose the correct choice from the following options
A) 7 days B) 9 days C) 6 days D) 3 days E) 5 days

Solution: Explanation:   More no of people: Less days (Inverse Relationship)   More work: More days (Direct Relationship)   Ratio is given:   Persons: 1 :: 2   Work 1 :: 1/2   Time 12 :: x   Solution of this can be explained by solving this ratio by the sort of relationships they possess with time.   1*1/2*12 = 2*1*x   => x = 3 days   ANSWER: 3 days
Answer: D
A rectangular-shaped carpet that measures x feet by y feet is priced at $11. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)	Select the correct option.
A) 90/(xy)
B) 90xy
C) xy/90
D) xy/10
E) 99/(xy)

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 11 / (xy/9) = 99/(xy).   The answer is 99/(xy).
Answer: E
What is the value of 1 *1! +2 *2!+3 *3! + .............. n *n!
where n! means n factorial or n(n-1)(n-2) ............1.	Choose the correct choice:
A) n *(n−1) *(n−1)!
B) [(n+1)!/{n*(n−1)}]
C) (n+1)! −n!
D) (n+1)! −1!
E) None

Solution: Solution:   1*1! =(2-1)81! =2 *1! -1*1!= 2!-1!   2*2!=(3-1)*2!=3*2!-2!=3!-2!   3*3!=(4-1)*3! =4*3!-3! = 4!-3!   ..   ..   ..   n*n!=(n+1-1)*n! =(n+1)(n!)-n!=(n+1)!-n!   Summing up all these terms, we get (n+1)! - 1!   Answer (n+1)! −1!
Answer: D
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?  Choose the correct choice from the following options.
A) 387 B) 200 C) 289 D) 128 E) 192

Solution: Explanation:   The number of ways to select two men and three women = 5C2 * 6C3   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   Answer: 200
Answer: B
How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 2 m x 3 m x 2 cm? Choose the correct choice from the following choices:
A) 5600	B) 6000	C) 73	D) 7200	E) 8600

Solution: Number of bricks =Volume of the wall/Volume of 1 brick =	(200 x 300 x 2)/(25 x 11 x 6) = 72.7=73.   Answer: Option 73
Answer: C
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross? Choose the correct choice from the following answers:
A) 19
B) 28
C) 30
D) 35
E) 44

Solution: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?   50 floors/150 floors per minute=1/3 minutes     11+72/3= 
  11+72/3 = 35
35   61-78/3= 
61-78/3 = 35
35   Answer : 35
Answer: D
A dealer originally bought 300 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold? Choose the correct choice from the following
A) q/200 B) 3q/2 C) 450q D) q/300 E) 450/q

Solution: The cost of each battery was q/300.   Each battery was sold for 1.5q/300 = 3q/600 = q/200.   The answer is q/200.
Answer: A
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number? Choose one
A) 27  B) 29  C) 30  D) 34  E) 35

Solution: The total of seven numbers = 7X18 = 126   The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99   So, the middle number is  (126 - 99 )= 
 (126 - 99 ) = 27
27   27
Answer: A