MU-NLPC/Calc-aqua_rat huggingface dataset:
Monika purchased a pressure cooker at 9/10th of its selling price and sold it at 8% more than its Selling Price. Find her gain percent.  Pick one:
A) 10	B) 20	C) 25	D) 15	E) 18

Solution: Let the Selling Price be $X. then Cost Price = $9x/10, Receipt=108% of $x= $27x/25 Gain=$(27x/25*9x/10)=$(108x-90x/100)=$18x/100   Gain%=(18x/100*10/9x*100)%=20%   Answer 20) 20.(18 /100*10/9 *100)= 
(18 /100*10/9 *100) = 20
20%   Answer 20) 20.
Answer: B
In how many ways letters of the word CORPORATION be arranged?
Choose the correct choice.
A) 125879
B) 3326400
C) 369
D) 1698
E) 8723

Solution: CORPORATION has 11 letters, out of which O repeated 3 times, R repeated 2 times. Hence total ways = 11! / (3!*2!) = 3326400 ways   3326400
Answer: B
279936, 46656, 7776, 1296, 216, ? Choose one:  A) 60  B) 46  C) 36  D) 66  E) 76

Solution: Explanation :   Go on dividing by 6 to the next number   Answer : Option 36
Answer: C
12.1212+17.0005 - 9.1102 = ?  Select.
A) 20.0015
B) 20.0105
C) 20.0115
D) 20.1015
E) None

Solution: Solution   Given expression   =(12.1212+17.0005)-9.1102   = (29.1217 - 9.1102)   =20.0115.   Answer 20.0115
Answer: C
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6	Select.
A) 4/7	B) 5/3	C) 4/5	D) 5/8	E) 7/18

Solution: Clearly n(S)=6*6= 
6*6 = 36
36   Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.Then   E={(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),   (6,6)}   n(E)=14.   Hence p(e)=n(e)/n(s)=14/36=7/18   ANS: 7/18
Answer: E
How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276	Choose the correct answer.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Marking (/) those which are are divisible by 3 by not by 9 and the others by (X), by taking the sum of digits, we get:s   2133 9 (X)   2343 12 (/)   3474 18 (X)   4131 9 (X)   5286 21 (/)   5340 12 (/)   6336 18 (X)   7347 21 (/)   8115 15 (/)   9276 24 (/)   Required number of numbers = 6.   Answer: 6
Answer: B
If x≠0 and x=√4xy−4y^2, then, in terms of y, x =	Pick
A) 2y  B) y  C) y/2  D) -(4y^2)/(1-2y)  E) -2y

Solution: Well it means :   Squaring we get:   x^2 =4y(x-y)   Assume X^2=m >>>>>>>>>>>1   Than ,m=4y(m^1/2-y)   on solving:m-4y(m)^1/2+4y^2=0 >> quadratic in y s solve for y.   Y comes out to be =(m^1/2)/2   Hence,put m =x^2 from 1.   So x=2y   2yNSWER:2y
Answer: A
How many times are the hands of a clock at right angle in a day?	Select:
A) 22	B) 24	C) 44	D) 48	E) 50

Solution: In 12 hours, they are at right angles 22 times.   In 24 hours, they are at right angles 44 times.   Answer: Option 44
Answer: C
Find the 2nd greatest number of five digits which is exactly divisible by 12, 15 and 18?	Choose the correct choice from the following choices:	A) A)13050	B) B)12960	C) C)14090	D) D)16200	E) E)12080

Solution: The largest five digit numbers are   16200,14090,13050,12960,12080,   16200 is divisible by 12, 15 and 18 ------(1st largest no)   14090 is not divisible by 12   13050 is not divisible by 12   12960 is divisible by 18, 12 and 15 -------(2nd largest)   12080 is not divisible by 12   ANSWER:12960
Answer: B
If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	L exactly passes through 2 quadrants
II.	The slope of L is negative
III.	The slope of L is positive  Choose one:
A) I only B) II only C) III only D) I and II only E) II and III only

Solution: Let (m,n) = (2,3)   (-m,-n) = (-2,-3)   Slope = (3+3)/(2+2) = 6/4 = 3/2   So II may not be true   Let (m,n) = (2,-3) then (-m,-n) = (-2,3)   So slope = (3 +3)/(-2-2) = -3/2   so III may not be true   So such a line would be -> (y - 3) = 3/2(x - 2)    -  (  - 3)= 
 -  (  - 3) = 3
3/2(x - 2)=> 2y - 6 = 3x - 6   => 2y - 3x = 0, hence no x or y intercept, so it passes through origin.   I is true.   I onlynswer - I only
Answer: A
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many P cubes are painted on only 2 faces?
Choose the correct answer:
A) 12
B) 8
C) 6
D) 10
E) 16

Solution: 1) Draw a simple cube   2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.   3) Remember that the OUTSIDE of the cube is the part that's painted....   The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. P=4 + 4 + 4= 
4 + 4 + 4 = 12
12. 12nswer 12
Answer: A
The average runs of a cricket player of 10 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 4?  Select the correct option:	A) 12	B) 42	C) 64	D) 76	E) 84

Solution: Explanation:   Average after 11 innings = 24   Required number of runs = (24 * 11) – (20 * 10)   = 264 – 200 = 64   ANSWER 64
Answer: C
Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent E of the lights that are on are supposed to be off?	Select.
A) 22(2/9)%  B) 16(2/3)%  C) 11(1/9)%  D) 10%  E) 5%

Solution: Is the Answer D.   let me try..   Let the light which are supposed to be OFF = SO   Let the light which are supposed to be ON = SN   Let the light which are ACTUALLY OFF = AO   Let the light which are ACTUALLY ON = AN   Let the total no. of lights be 100,   So ACTUALLY ON lights = 80   And ACTUALLY OFF lights = 20   Also given >> forty percent of the lights that are supposed to off are actually on >>> (40/100)*SO are ACTUALLY ON   it means >>> (60/100)*SO are ACTUALLY OFF   Also given >> ten percent of the lights that are supposed to be on are actually off >>> (10/100)*SN are ACTUALLY OFF   it means >>> (90/100)*SN are ACTUALLY ON   So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80   and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80   From here we get SO = 20   we need to find: What percent of the lights that are on are supposed to be off >>> So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8.   So (8/80)*100= 
(8/80)*100 = 10
10%.10%
Answer: D
If 315,214 football shoes need to be placed in boxes and each box can contain at most 2 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:	Choose the correct choice from the following answers:
A) 1football shoes B) 0 football shoes C) 4 football shoes D) 7 football shoes E) 9 football shoes

Solution: The number of football shoes that can be placed in boxes of 2 football shoes is the last number that is divisible by 2 that occurs before 315,214.   In order to divide the sum in 2 parts, the last number must be divisible by 2   Divisibility rule of 2: The last digit must be divisible by 2   last digit of 315,214 is 4 and 4 is divisible by 2.   Hence, there is no unfilled box.   Correct Option: 0 football shoes
Answer: B
John can row at 5 kmph and still water. He takes 5 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?  Answers.
A) 28 km	B) 12 km	C) 16 km	D) 30 km	E) 20 km

Solution: Let the distance between A and B be x km.   Total time = x/(5 + 1) + x/(5 - 1) = 5   => x/6 + x/4 = 4 => (2x + 3x)/12 = 5 => x = 12 km.   ANSWER:12 km
Answer: B
Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
6 ~ 2 ~ 7 ~ 4 = ____
Choose one:
A) 2414  B) 2910  C) 2940  D) 3749  E) 4470

Solution: 2414   2414   2414   The rule that is being followed here is   P ~ Q ~ R ~ S = [first digit of (P * S)] [last digit of (Q * R)] [first digit of (Q * R)] [last digit of (P * S)]   Using the same rule in the incomplete equation,   6 ~ 2 ~ 7 ~ 4 = [first digit of (6 * 4)] [last digit of (2 * 7)] [first digit of (2 * 7)] [last digit of (6 * 4)]   = 2414   Thus 2414 is the missing number.
Answer: A
The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?
Choose the correct choice from the following answers
A) 5% B) 6% C) 7% D) 2% E) 8%

Solution: increase = 262500 - 175000= 
262500 - 175000 = 87_500
87500   % increase in 10 yrs= 87500/175000*100= 
87500/175000*100 = 50
50%   avg= 50/10= 
50/10 = 5
5%   5%NSWER 5%
Answer: A
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase R in sales?
Choose the correct answer:
A) 2%
B) 17%
C) 20%
D) 65%
E) 83%

Solution: Last year's sales = $320 million;   This year's sales = $385 million;   Increase R = $65 million.   Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.   Answer: 20%.
Answer: C
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent? Choose the most appropriate option:	A) 8 1/9 %	B) 8 9/3 %	C) 8 1/3 %	D) 32 1/3 %	E) 8 7/3 %

Solution: C.P. of 1 kg = 420/7 = Rs. 6   S.P. of 1 kg = Rs. 6.50   Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %   Answer: 8 1/3 %
Answer: C
A and B together can do a work in 4 days. If A alone can do it in 20 days. In how many days can B alone do it?  Choose the correct option
A) 11 B) 5 C) 6 D) 8 E) 25

Solution: 5   5   1/4 â€“ 1/20 = 1/5 => 5
Answer: B
If a and b are positive integers and a/b=0 then which of the following give positive Numbers and CANNOT be zero?	Choose the correct choice from the following choices:
A) ab/ba B) a/b-b/a C) b/a-a/b D) (a^2 -b^2)/ab E) a/b

Solution: (D) (a^2 -b^2)/ab = a/b-b/a gives negative value.   The option C is Answer.   (b/a-a/b)a/b-b/a   If a/b=0, b/a gives positive numbers.(a and b are positive integers)
Answer: C
For which of the following values of s is (30+s)/s an integer?
Choose the correct option:	A) 3	B) 4	C) 9	D) 11	E) 30

Solution: This problem has to be solved by checking the options   (30 + s)/s   For this entity to be an integer, 50 + s should be divisible by s   Option A:33/3 - Not an Integer   Option B: 34/4 - Not an Integer   Option C: 39/9 - Not an integer   Option D: 41/11 - Not an integer   Option 30 - 60/30 - Integer   Correct Option: 30
Answer: E
In the decimal notation of number (223)3(223)3, what is the third digit to the right of the decimal point?  Pick
A) 0	B) 1	C) 2	D) 4	E) 8

Solution: Because (2/23)3<(2/20)3=(1/10)3=0.001, the third digit to the right of the decimal point in the decimal notation of (2/23)3 is 0.   0nswer: 0
Answer: A
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 2500. The difference between the profit shares of A and C is?  Choices.
A) 621
B) 276
C) 236
D) 1000
E) 211

Solution: Explanation:   Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6   And also given that, profit share of B is Rs. 2500   => 5 parts out of 15 parts is Rs. 2500   Now, required difference is 6 - 4= 
6 - 4 = 2
2 parts   Required difference= 2/5 (2500) = Rs. 1000   Answer: 1000
Answer: D
If 15% of A is the same as 40% of B, then A : B is :  Options:
A) 5:4 B) 8:3 C) 7:16 D) 2:17 E) 3:5

Solution: Expl : 15% of A I= 40 % of 8:3 =15A/100 = 408:3/100 = 8/3 = 8:3   Answer:8:3
Answer: B
If y exceeds x by 20%, then x is less than y by?
Answers:
A) 16 8/3%	B) 16 9/3%	C) 16 2/3%	D) 16 2/9%	E) 13 2/3%

Solution: X=100	y=120   120------20   100-------? => 16 2/3%   Answer:16 2/3%
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choose the correct choice from the following
A) 150 B) 88 C) 270 D) 62 E) 52

Solution: Length of the train be â€˜Xâ€™   X + 120/15 = X + 250/20   4X + 480 = 3X + 750   X = 270m   Answer: 270
Answer: C
A shopkeeper offers 2.5% discount on cash purchases. What cash amount would Rohan pay for a cycle the marked price of which is $650?
Pick one.
A) $523.89 B) $600.25 C) $710.45 D) $690.63 E) $633.75

Solution: S.P. = 97 1/2% of $650 = 195/2 * 1/100 * 650= 
195/2 * 1/100 * 650 = 2_535/4 = around 633.75
$633.75   Answer is $633.75
Answer: E
z is a positive integer and multiple of 2; v = 4^z, what is the remainder when v is divided by 10? Options:
A) 10
B) 6
C) 4
D) 0
E) It Cannot Be Determined

Solution: It is essential to recognize that the remainder when an integer is divided by 10 is simply the units digit of that integer. To help see this, consider the following examples:   4/10 is 0 with a remainder of 4   14/10 is 1 with a remainder of 4   5/10 is 0 with a remainder of 5   105/10 is 10 with a remainder of 5   It is also essential to remember that the z is a positive integer and multiple of 2. Any integer that is a multiple of 2 is an even number. So, z must be a positive even integer.   With these two observations, the question can be simplified to:what is the units digit of 4 raised to an even positive integer?   The units digit of 4 raised to an integer follows a specific repeating pattern:   4^1 = 4   4^2 = 16   4^3 = 64   4^4 = 256   4^(odd number) --> units digit of 4   4^(even number) --> units digit of 6   There is a clear pattern regarding the units digit. 4 raised to any odd integer has a units digit of 4 while 4 raised to any even integer has a units digit of 6.   Since z must be an even integer, the units digit of v=4^z will always be 6. Consequently, the remainder when v=4^z is divided by 10 will always be 6.   In case this is too theoretical, consider the following examples:   z=2 --> v=4^z=16 --> v/10 = 1 with a remainder of 6   z=4 --> v=4^z=256 --> v/10 = 25 with a remainder of 6   z=6 --> v=4^z=4096 --> v/10 = 409 with a remainder of 6   z=8 --> v=4^z=65536 --> v/10 = 6553 with a remainder of 6   Answer: 6.
Answer: B
The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?	Options.
A) 1 year	B) 2 years	C) 3 years	D) 4 years	E) 5 years

Solution: Amount = Rs. (30000 + 4347) = Rs. 34347.   Let the time be n years.   Then, 30000 1 +	7 n	= 34347   100   107 n	=	34347	=	11449	= 107 2   100	30000	10000	100   n = 2 years   2 years
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choose one.
A) 37 km/hr	B) 50 km/hr	C) 36 km/hr	D) 26 km/hr	E) 87 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer:50 km/hr
Answer: B
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction R of the selected films are in color? Select
A) 1/130 B) 1/5 C) 3/13 D) 10/13 E) 30/31

Solution: It's y/xpercentnot y/x.   If x=20 and y=10. Then:   20x=400 black-and-white films;   6y=60 color films.   y/x%=10/20= 
10/20 = 1/2 = around 0.5
0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.   Color films thus compose R=60/62=30/31 of the selected films.   Answer: 30/31.
Answer: E
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? Choose the correct choice from the following options:
A) 2
B) 7
C) 5
D) 4
E) 8

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4)   = 2   x = 8   Answer: 8
Answer: E
Find Next Number in the Series
2 9 3 1 8 4 3 6 5 7 ?  Choose the correct option: A) 6 B) 8 C) 10 D) 11 E) 2

Solution: E   2   This single sequence in fact consists of two Series:   The first Series is 2-3-4-5-...   and   The second Series is 9-18-36-72-... .
Answer: E
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?	Select the correct option
A) 11
B) 12
C) 77
D) 88
E) 91

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.Answer: 12
Answer: B
A contractor undertook to do a piece of work in 9 days. He employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. Find the number of men originally employed .
Choose the most appropriate option.
A) 15 B) 6 C) 13 D) 9 E) None of these

Solution: Let the number of men originally employed be x.   9x = 15(x – 6)   or x = 15   15nswer 15
Answer: A
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Answers:
A) 1/5  B) 1/2  C) 1/9  D) 1/8  E) 1/2

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2   P(E) = 1 - 1/2 = 1/2.   Answer: 1/2
Answer: B
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?	Select the correct option:
A) 2 B) 20 C) 50 D) 100 E) 1024

Solution: 1)there are 10 speeches in ONE topic and 10 in OTHER..   2)there is a specific order for topics, so   a) both the topics are to be spoken on- so ONE from each   b) the order does not matter since there is ONLY one specific order..   so 10C1∗10C1=10∗10=100   ANSWER:100
Answer: D
In how many ways can 4 indistinguishable red balls and 2 different blue balls be arranged in a line?
Choose the correct choice from the following
A) 6! B) 30 C) 40 D) 6!/2! E) 4!/2!

Solution: The total number of ways in which a total N items, out of which p are identical of one type, q are identical of another type and rest are different, can be arranged in a line is N!/{p!q!}   In the given problem, we have 6 balls out of which 4 are identical.   Hence the number of arrangements possible are 6!/4! = 30   Ans 30
Answer: B
To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 64. If x, where x <64, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y? Select: A) x+2y=64 B) xy=64 C) 2x+y=64 D) x+y=64 E) 2x+2y=64

Solution: We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.   Now,after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus{age after y years}+{employment years}=(x+y)+y=x+2y=64.   x+2y=64nswer: x+2y=64
Answer: A
Barbara has 8 shirts and 12 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choose the correct choice from the following choices
A) 126 B) 120 C) 101 D) 112 E) 115

Solution: 8 shirts   9 pants   we can combine 2 shirts with (12-3) pants   2*9= 
2*9 = 18
18   we can combine the other shirts (6) with any pants (9)   9*12=54   Thus total :108+18= 
108+18 = 126
126	126NS:126
Answer: A
In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 30 Overs to reach the target of 324 runs?  Choose the correct choice from the following.
A) 7.25 B) 8.5 C) 8 D) 9.15 E) 10

Solution: Explanation :   Required run rate = (324 - 4.2 20 ) = 240/ 30= 
240/ 30 = 8
8.   Answer : 8
Answer: C
The average weight of 8 person's increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? Answers.
A) 75 Kg B) 50 Kg C) 85 Kg D) 80 Kg E) 98.6 KG

Solution: 98.6 KGxplanation:   Total increase in weight = 8 Ã— 4.2 = 33.6   If x is the weight of the new person, total increase in weight = xâˆ’65   => 33.6 = x - 65   => x = 33.6 + 65= 
33.6 + 65 = 98.6
98.6   Answer: Option 98.6 KG
Answer: E
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?  Pick
A) 25 B) 40 C) 35 D) 60 E) 55

Solution: The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.   Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.   Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.   Therefore, the total number of ways the 5 letters can be posted in 3 boxes is   3 * 3 * 3 * 3 * 3 = 35   Ans: 35
Answer: C
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively.The length of the train is:
Answers.
A) 35M
B) 45M
C) 55M
D) 50M
E) 40M

Solution: 2 kmph = ( 2 x 5/18) m/sec = 5/9 m/sec.   4 kmph = ( 4 x 5/18)m/sec = 10/9 m/sec.   Let the length of the train be x metres and its speed by y m/sec.   Then, ( x / y-5) = 9 and x / (y-10/ 9) = 10.   Therefore 9y - 5 = x and 10(9y - 10) = 9x   =9y - x = 5 and 90y - 9x = 100.   On solving, we get: x = 50 ANSWER : 50M
Answer: D
A movie buff owns movies on DVD and on Blu-ray in a ratio of 9:2. If she buys 2 more Blu-ray movies, that ratio would change to 17:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?	Choose the correct choice:
A) 22  B) 28  C) 77  D) 99  E) 187

Solution: if u can just keep an eye on the options   99 is the only multiple of 9 in options given .. SO you can mark it wid in seconds.   Now coming to the process m(D) = 9x and b(D) = 2x   now from the next line the new eqn becomes 9x/ (2x + 2) = 17/4   Solving it 36x = 34x + 34x =17   which means m (d) = 153 and b(d) = 34   SO total initially is m(d) + b(d) = 187   187
Answer: E
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 385 but three tickets from city A to B and two tickets from city A to C cost Rs. 365. What are the fares for cities B and C from A ?
Choose the correct choice from the following: A) s. 4, Rs. 23 B) s. 13, Rs. 17 C) s. 15, Rs. 14 D) s. 17, Rs. 13 E) s. 65, Rs. 85

Solution: If fares for cities B and C from A are x and y respectively, then   2x+3y=385 or 6x+9y= 1155   3x+2y =365 or 6x+4y= 730   subtracting   5y = 425   y= Rs 85   Hence E. Rs. 65, Rs. 85   ANSWs. 65, Rs. 85R:s. 65, Rs. 85
Answer: E
36, 34, 30, 28, 24, 22, 18, 16, ?	Pick.
A) 12 B) 10 C) 8 D) 6 E) 4

Solution: This is an alternating number subtraction series. The pattern is -2, -4, -2, ....   The answer is 12.
Answer: A
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?	Choose the correct answer
A) 7500 B) 8500 C) 9000 D) 8000 E) None of these

Solution: Explanation :   A : B : C = 20000*24 : 15000*24 : 20000*18 = 20*4 : 15*4 : 20*3   = 4*4 : 3*4 : 4*3   = 4:3:3   B's Share = 25000 * 3/10= 
25000 * 3/10 = 7_500
7500. 7500nswer : Option 7500
Answer: A