MU-NLPC/Calc-aqua_rat huggingface dataset:
A four years NSC certificate was purchased for Rs. 500 with Rs. 1000 being the maturity value. Find the rate of S.I.  Pick one
A) 24%
B) 22%
C) 16%
D) 25%
E) 32%

Solution: Explanation:   P = Rs. 500   SI = Rs.500   T = 4   R = ?   R = (100×SI)/PT = (100×500)/(500×4) =100/4= 
100/4 = 25
25%   Answer: Option 25%
Answer: D
The length of a bridge in meters, which a train 90-meters long and traveling at 45 km/hr can cross in 30 seconds is?  Select.
A) 145	B) 215	C) 265	D) 285	E) 375

Solution: 45 km/h = 45000 m/3600 s = 12.5 m/s   In 30 seconds, the train can go 30(12.5) 45000  /3600= 
45000  /3600 = 25/2 = around 12.5
12.5 m/s   In 30 seconds, the train can go 30(12.5)= 375 meters   Let x be the length of the bridge.   x+90 = 375 meters   x = 285 meters   The answer is 285.
Answer: D
If 20 typists can type 60 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Choose one:	A) 240	B) 200	C) 270	D) 300	E) 310

Solution: No. of letters typing by 20 typists in 20 minutes = 60   No. of letters typing by 20 typists in 60 minutes = 60*3= 
60*3 = 180
180   No. of letters typing by 30 typists in 60 minutes= 180/20*30= 
180/20*30 = 270
270   Answer : 270
Answer: C
I lost Rs 68 in two races. My loss in the second race is Rs 6 more than my lose in the first race. My friend lost Rs 4 more than me in the second race. Then what is the amount lost by my friend in the second race? Options:
A) Rs 41
B) Rs 40
C) Rs 31
D) Rs 51
E) Rs 81

Solution: I lost Rs 68 in two races. My loss in the second race is Rs 6 more than my lose in the first race.   so I lost Rs 31 in first race and Rs 37 in 2nd race.   My friend lost Rs 4 more than me in the second race.   My friend lost 37+4= 
37+4 = 41
Rs 41 in the second race.   Rs 41NSWER:Rs 41
Answer: A
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 600. Find the average mark scored by all the three boys?
Select:
A) 384	B) 826	C) 207	D) 269	E) 288

Solution: Average mark scored by all the three boys =   [64/100 (600) + 36/100 (600) + 44/100 (600)] / 3   = 288   Answer: 288
Answer: E
1/0.08 is equal to	Select:  A) 25.5  B) 2.5  C) 12.5  D) .25  E) None of these

Solution: Explanation:   1/0.08 = (1 * 100)/8 = 100/8= 
100/8 = 25/2 = around 12.5
12.5   Option 12.5
Answer: C
T = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set T and one integer from set B. What is the probability that the sum of the two integers will equal 9 ? Choose the correct choice:
A) 0.15
B) 0.20
C) 0.25
D) 0.30
E) 0.33

Solution: The total number of pairs T,B possible is   4*5= 
  4*5 = 20
20. Out of these 20 pairs only 4 sum up to 9: (2, 7); (3, 6), (4, 5) and (5, 4). The probability thus is 4/20=0.2.   Answer: 0.20.
Answer: B
A batsman in his 12th innings makes a score of 70 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’? Choose one: A) 42 B) 37 C) 44 D) 45 E) 46

Solution: Let ‘x’ be the average score after 12 th innings   ⇒ 12x = 11 × (x – 3) + 70   ∴ x = 37   Answer 37
Answer: B
A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in still water and rate of the stream.  Options.
A) 0,5
B) 5,5
C) 15,5
D) 10,5
E) None of these

Solution: Explanation:   Please remember,   If a is rate downstream and b is rate upstream   Rate in still water = 1/2(a+b)   Rate of current = 1/2(a-b)   => Rate in still water = 1/2(20+10) = 15 kmph   => Rate of current = 1/2(20-10) = 5 kmph   Option 15,5
Answer: C
On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of? Select
A) 16 2/6%
B) 16 8/3%
C) 16 2/3%
D) 16 2/8%
E) 16 1/3%

Solution: Clearly, the retailer gets 1 dozen out of 6 dozens free.   Equivalent discount = 1/6 * 100 = 16 2/3%.   Answer: 16 2/3%
Answer: C
Let ABCD be a convex quadrilateral with BA = BC and DA = DC. Let E and F be the
midpoints of BC and CD respectively, and let BF and DE intersect at G. If the area of CEGF
is 50, what is the area of ABGD?	Pick one.
A) 100	B) 200	C) 300	D) 400	E) 500

Solution: Let [XY Z] denote the area of a polygon XY Z.   Observe that BF and DE are two medians of 4BCD, so G is the centroid of 4BCD. Since   the medians of a triangle divide the triangle into six parts of equal area, we have   [CGF] = [CGE] =   1/2   [CEGF] = 25:   It follows that [CBD] = 6 25 = 150 and [BGD] = 2 25 = 50.   Furthermore, since BA = BC, DA = DC, and BD = BD, we have that 4ABD = 4CBD, so   [ABD] = [CBD] = 150. Finally,   [A200GD] = [A200D] + [200GD] = 150 + 50= 
150 + 50 = 200
200   correct answer 200
Answer: B
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 15 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel? Choose the most appropriate option:
A) 54 B) 66 C) 80 D) 45 E) 96

Solution: 45   45   It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH = 45 miles
Answer: D
What is the sum of all the multiples of 8 between 30 and 100?  Choose the correct choice
A) 485  B) 72  C) 547  D) 104  E) 624

Solution: You first have to know all the multiples of 8 between 30 and 100. They are 8, 16, 24,32,40,48,56,64,72,80,88 and96. If you add all these numbers together, you get 624.   Final Answer:624
Answer: E
Look at this series: 201, 202, 204, 207, ... What number should come next? Choose the most appropriate option.
A) 211 B) 205 C) 209 D) 210 E) 212

Solution: 211
Answer: A
The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:  Select:
A) 30 < x < 36  B) 30 < x < 37  C) 31 < x < 37  D) 31 < x < 38  E) 32 < x < 38

Solution: f(n) = number of perfect squares less than n   1,4,9,16,25,36   f(25) = 4   f(26)=f(27)=...=f(35)=f(36) = 5   f(37) = 6   g(n) = number of prime numbers less than n   2,3,5,7,11,13,17,19,23,29,31,37   g(31)=10   g(32)=g(33)=...=g(36)=g(37) = 11   g(38)=12   f(x)+g(x)=16 implies that f(x)=5 and g(x)=11.   So, x = 32,33,34,35,or36.   Answer 31 < x < 37, 31 < x < 37.
Answer: C
In how many ways can 8 different gifts be divided among four children such that each child receives exactly two gifts?  Choose the correct choice from the following choices
A) 16^4
B) (4!)^4
C) 8!/(2!)^4
D) 8!/4!
E) 4^16

Solution: Total 8 different Gifts, and 4 children.   Thus any one child gets 8C2 gifts,   then the other child gets 6C2 gifts(8 total - 2 already given),   then the third one gets 4C2 gifts,   and the last child gets 2C2 gifts.   Since order in which each child gets the gift is not imp, thus, ans :   88!/(2!)^42 * 68!/(2!)^42 * 48!/(2!)^42 * 28!/(2!)^42= 8! / (2!)^4   Ans : 8!/(2!)^4.
Answer: C
Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
Options
A) 3	B) 9	C) 5	D) 4	E) 8

Solution: Had advanced degrees and 5 years work experience: 2   Only had 5 years work experience: 3-2= 
3-2 = 1
1   Only had advanced degrees: 4-2= 
4-2 = 2
2   10-2-1-2= 
10-2-1-2 = 5
5   Answer: 5
Answer: C
The market value of a certain machine decreased by 25 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?	Pick one:  A) $8,000  B) $5,600  C) $3,200  D) $4,000  E) $800

Solution: D.   Market value in 1982= $ 8000   Market value in 1983 = $ 8000- ($ 8000 x 25/100) = 8000-2000= 
8000-2000 = 6_000
$ 6000   Market value in 1984= Market value in 1983 - (25 % of $8000)= 6000-2000= 
6000-2000 = 4_000
$4000
Answer: D
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?	Pick.
A) 16 m  B) 17 m  C) 87 m  D) 27 m  E) 34 m

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b =17 m.   Answer: 17 m
Answer: B
If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?  Choose the correct choice.
A) 3072 B) 512 C) 768 D) 1024 E) 1536

Solution: 0.3*2^10=0.3*1024= 
0.3*1024 = 307.2
307.2   The answer is 3072.
Answer: A
If 42.24 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?  Choose the correct choice from the following answers.
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: 42.24 = 14K + Km/50...we can rewrite the number as follows:   42+ 0.24= 14K + Km/50........Since K is integer, then 42=14K..........K=3   0.24=Km/50......24/100=3m/50......m=4   k+m=3+4= 
3+4 = 7
7   Answer: 7
Answer: B
A batsman scored 120 runs which included 5 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
Options:
A) 43.33%	B) 50%	C) 65%	D) 70%	E) 75%

Solution: Number of runs made by running = 120 - (5 x 4 + 8 x 6)   = 120 - (68)= 
120 - (68) = 52
52   Now, we need to calculate 60 is what percent of 120.=> 52/120 * 100 = 43.33 %   43.33%
Answer: A
If 11 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Options
A) 78 days. B) 121 days. C) 49 days. D) 48 days. E) 67 days.

Solution: B   121 days.   From the above formula i.e (m1*t1/w1) = (m2*t2/w2)   so (11*6*88/1) = (6*8*d/1)   on solving, d = 121 days.
Answer: B
Last year Sandy saved 10% of her annual salary. This year, she made 10% more money than last year, and she saved 6% of her salary. The amount saved this year was what percent of the amount she saved last year? Select the correct option.
A) 66%  B) 80%  C) 112%  D) 136%  E) 148%

Solution: Let last year's salary be x.   Last year, Sandy save 0.1x   This year, Sandy saved  0.06*1.1= 
 0.06*1.1 = 0.066
0.066x   0.066x / 0.1x = 0.66  0.066  / 0.1= 
 0.066  / 0.1 = 0.66
0.66= 66%   The answer is 66%.
Answer: A
Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4,3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (4,3). What would be the exact root of the original quadratic equation ?	Choose the correct choice from the following answers:
A) (6, 1) B) (-3,-4) C) ( 4, 3) D) (-4, -3) E) None of these

Solution: Explanation :   Equation of quadratic equation is   ax2 + bx + c = 0 .   x2 + bx + c = 0 . First roots = (4, 3)   Sum of the roots -b / a = -7 .   => b = 7.   Product of the roots = c / a = 12.   => c =12.   ∴ Equation formed x2 – 7b + 12 = 0 ............ (i)   Another boy gets the wrong roots (2, 3).   ∴ Sum of the roots = -b / a = -5.   => b = 5.   Products of the roots = c / a = 6.   => c = 6.   Equation formed x2 – 5b + 6 = 0 ............ (ii)   x2 + b′x + c1 = 0.   b′ = 2 + 3 .   ∴ c = 6   Hence, x2 – 7x + 6 = 0.   => x2 – 6x – x + 6 = 0.   => x(x – 6) – 1(x – 6) = 0.   => (x – 6)(x – 1) = 0.   ∴ x = 6, 1.   Hence, the actual roots = (6, 1).   (6, 1)nswer : (6, 1)
Answer: A
The G.C.D. of 1.08, 0.36 and 0.4 is:
Choices:
A) 0.04
B) 0.9
C) 0.18
D) 0.108
E) 0.118

Solution: Given numbers are 1.08, 0.36 and 0.40. H.C.F. of 108, 36 and 40 is 18,   H.C.F. of given numbers = 0.04.   0.04nswer: Option 0.04
Answer: A
A parking space have 9 different slots. 9 cars has to arrange in 8 slots. But there are exactly 4 cars between 5 specified cars. In how many ways cars can be arranged?
Choose the correct choice from the following options.
A) 1210 B) 650 C) 1500 D) 1640 E) 2880

Solution: we arranged 4 specified cars in 4 slots = 4!   remaining 5 cars in 5 slots = 5!   number of ways = 4!*5! = 1440   correct option is 2880
Answer: E
Since 2001, the standard serial numbers on a New York state license plate are 3 letters followed by 4 digits. How many different license plates are possible if letters and digits can be repeated?
Choices:
A) 26 × 3 × 10 × 4
B) 26 × 25 × 24 × 10 × 9 × 8 × 7
C) 26³ × 9 × 9 × 9 × 9
D) 26 × 25 × 24 × 10 000
E) 26³ × 10 000

Solution: Solution:   3 repeated letters can be chosen as 26 * 26 * 26   4 repeated digits can be chosen as 10 * 10 * 10 * 10   Answer 26³ × 10 000
Answer: E
There are some fruits in box, 1/3rd eaten by children . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 4 were remaining . How many fruits were in total ?  Choose the correct choice from the following:
A) 45
B) 30
C) 28
D) 26
E) 91

Solution: Sol:   If x fruits were there in total , then   x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 4   x×2/3 × 3/5 × 1/3 = 30   x = 30   Answer:30
Answer: B
The average age of 15 students of a class is 15 years. Out of these, the average age of 3 students is 14 years and that of the other 11 students is 16 years. The age of the 15th student is Choose the correct choice from the following options:
A) 9 years B) 11 years C) 14 years D) 7 years E) 25 years

Solution: Solution   Age of the 15th student	=[15x15-(14x3+16x11)]   = (225 - 218)= 
(225 - 218) = 7
7 years.   Answer 7 years
Answer: D
A company, Chauncy Co., has an annual travel budget of $51,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choose the correct choice from the following answers:
A) Expenses will not go over the budget.	B) $500	C) $4,225	D) $9,725	E) $60,725

Solution: annual travel budget of $51,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 51000-60725 = 9725   Answer: Option $9,725
Answer: D
On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 140 points, how many points did Bill receive? Options:
A) 30
B) 40
C) 50
D) 80
E) 100

Solution: consider john's points as x   so bill's points are x +20   So sue's points are 2x +40   total of all three students is 4x +60, but this total is given as 140   x = 20   so bill's points = 20 +20= 
20 +20 = 40
40   correct answer option 40
Answer: B
A sporting goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra white balls, making the ratio of white balls to yellow balls 6:5. How many tennis balls did the store originally order? Select: A) 120 B) 150 C) 180 D) 300 E) 330

Solution: (X+30)/(X)= 6/5   Cross multiply: 5X + 150 = 6X   X = 150   And since we originally ordered 2X balls the answer is 300.300
Answer: D
Can you find a seven digit number which describes itself.
The first digit is the number of zeros in the number.
The second digit is the number of ones in the number, etc.
For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours. Choose the correct choice.
A) 4211000
B) 1211000
C) 5211000
D) 2211000
E) 3211000

Solution: 3211000   3211000
Answer: E
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
Choose the correct answer.
A) 400 m  B) 450 m  C) 560 m  D) 600 m  E) 700 m

Solution: Explanation:   Let the length of the first train be x metres.   Then, the length of the second train is(x/2)metres.   Relative speed = (48 + 42) kmph =(90x5/18)m/sec = 25 m/sec.   [x + (x/2)]/25	= 12 or	3x/2	= 300 or x = 200.   Length of first train = 200 m.   Let the length of platform be y metres.   Speed of the first train =(48 x5/18)m/sec =	40	/3m/sec.   (200 + y) x	3/40=45   600 + 3y = 1800   y = 400 m.   400 mNSWER IS 400 m
Answer: A
The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, The average of
remaining numbers is? Pick: A) 35.5 B) 37.5 C) 39.5 D) 34.5 E) 38.5

Solution: Total of 50 numbers = 50 * 38= 
50 * 38 = 1_900
1900   Average of 48 numbers= 1900-(45+55) / 48   = 1800 / 48= 
1800 / 48 = 75/2 = around 37.5
37.5   Answer is 37.5.
Answer: B
If n is a positive integer, which of the following expressions must be even?
Choose the most appropriate option.
A) (n − 5)( n + 3)
B) (n − 6)( n + 3)
C) (n − 6)( n + 8)
D) (n − 7)( n + 5)
E) (n − 9)( n + 11)

Solution: Whether n is even or odd, (n-6)(n+3) will have one odd factor and one even factor.   The product will be even.   The answer is (n − 6)( n + 3).
Answer: B
Set A of 8 positive integers may have the same element and have 35. And set B of 8 positive integers must have different elements and have 35. When m and n are the greatest possible differences between 35 and other elements’ sums in set A and set B, respectively, m-n=? Choose the correct option
A) 20 B) 26 C) 23 D) 25 E) 21

Solution: This is maximum-minimum. Hence, 35-(1+1+1+1+1+1+1)=28 and   35-(1+2+3+4+5+6+7)= 
  35-(1+2+3+4+5+6+7) = 7
7. So, 28-7=21. The correct answer is 21.
Answer: E
average weight of 20 boys and 15 girls in a class is 29 kg and 22 kg respectively.find the average weight of all the students in the class.	Choose the correct option.
A) 20 kg
B) 26 kg
C) 22 kg
D) 24 kg
E) 28 kg

Solution: totl wght of boy's=20*29= 
20*29 = 580
580   simrlly girls=15*22   totl ave=(totlboywght+tolgirlwght)/tole no of boys and gils   26 kg   ANSWER:26 kg
Answer: B
A car travels a distance of 160 miles in 2 hours and 40 minutes, what is the speed of the car in miles per hour? Choose the most appropriate option: A) 54 B) 60 C) 84 D) 116 E) 120

Solution: Given time = 2 hours 40 mins   40 mins can be written as 40/60 hours = 2/3 hrs   total time = 2 + (2/3) = 8/3 hrs   therefore, speed = 160 /(8/30) = 60   option 60
Answer: B
In a certain alphabet, 9 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line? Pick one.
A) 7	B) 8	C) 14	D) 20	E) 28

Solution: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).   First we find the total # of letters with lines:  9 +24= 
 9 +24 = 33
33;   Next, we find the total # of letters without line:  40 - 33= 
 40 - 33 = 7
7;   Finally, we find the # of letters that contain a dot but do not contain a straight line: 7- 0= 
7- 0 = 7
7.   7
Answer: A
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. Find the average age of the women?	Choices:
A) 87	B) 98	C) 30	D) 29	E) 37

Solution: 20 + 22 + 8 * 2= 
20 + 22 + 8 * 2 = 58
58/2= 
58/2 = 29
29   Answer:29
Answer: D
A Katiland's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Katiland's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Katiland's to travel 850 kilometers?
Pick one:  A) 1 hour and 24 minutes.  B) 1 hour and 36 minutes.  C) 2 hours and 24 minutes.  D) 2 hours and 36 minutes.  E) 5 hours.

Solution: Difference in time = time taken by passenger train- time taken by Katiland's train   850/(250*68) *100 - 850/250   850 (100/ 250*68 - 1/250)   850*32/ (250*68)   1.6 hrs or 1 hr and 36 mins   1 hour and 36 minutes. is the answer
Answer: B
How many three digit no's are between 100-500,where sum of two digit is 3rd?
Choose one:  A) 24  B) 54  C) 60  D) 84  E) 94

Solution: TOTAL PERMUTATIONS POSSIBLE = 18+16+14+12= 
18+16+14+12 = 60
60   ANSWER:60
Answer: C
The list price of an article is Rs.67. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Pick one
A) 3.86%  B) 4.86%  C) 5.86%  D) 6.86%  E) 7.86%

Solution: 67*(90/100)*((100-x)/100) = 56.16   x = 6.86%   ANSWER:6.86%
Answer: D
Which of the following numbers has a zero in its units digit?
I. (4!)×(4!)×(3!)×(11)×(17)×(31)
II. (2!)×(3!)×(3!)×(5)×(17)×(31)
III. (2!)^5×(3!)^5×(4!)^5  Select the correct option:	A) I only	B) II only	C) III only	D) I, II and III	E) II and III

Solution: At a glance solution   0 in the units place will come only when you have at least a multiple of 2 and 5   Check clearly none of the given option is both a multiple of 2 and 5 except option (II)   Hence (II only) is the correct answer.
Answer: B
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 900 gm and 700 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
Options:	A) 3.84	B) 1.75	C) 3.28	D) 2.72	E) None of these

Solution: Here's how I did it. My notes from reading the problem were:   1L A = 900 gm   1L B = 700 gm   We are mixing five parts (3 parts A plus 2 parts B, 5 parts total) to get 4L, so 5x = 4 ---> x = 4/5. Each part is 4/5 of a liter.   So if we have 3 parts A, we have 900*3*(4/5)= 
900*3*(4/5) = 2_160
2160   If we have 2 parts B, we have 700*2*(4/5)= 
700*2*(4/5) = 1_120
1120   2160 + 1120= 
2160 + 1120 = 3_280
3280   Solving for units gives us 3.28   So the answer is 3.28
Answer: C
How many factors of 990 are odd numbers greater than 1? Answers
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: prime factors of 330 are 2^1,3^2,5^1 and 11^1   total divisors = (power if a prime factor+1)   total no. of odd factors(3,5,11) = (2+1)(1+1)(1+1) =12   since we need odd divisors other than 1 =>12-1= 
12-1 = 11
11 odd divisors   3 is the answer
Answer: A
The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the width of the rectangle?  Choose the correct choice from the following:
A) 10 cm
B) 12 cm
C) 14 cm
D) 16 cm
E) 18 cm

Solution: 2L+2W = 5W   L = 3W/2   W*L = 294   3W^2/2 = 294   W^2 = 196   W = 14   The answer is 14 cm.
Answer: C
If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day?	Select the correct option
A) 13
B) 14
C) 15
D) 16
E) 17

Solution: Since the number of days is to be found out , we compare each item with the number of days.   More men , less days (Indirect)   Less working hours More days (Indirect)   Men 18 : 15} ..   Working Hours 8 : 9 } .. 16 : x   18 x 8 x X = 15 x 9 x 16 or x=15   Required Number of days = 15   ANSWER:15
Answer: C
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 800 widgets?  Choose the most appropriate option.
A) 1 hour and 20 minutes	B) 1 hour and 24 minutes	C) 1 hour and 30 minutes	D) 1 hour and 36 minutes	E) 1 hour and 40 minutes

Solution: (350+250)t=800   600t=800   t=4/3   t=1 hour and 20 minutes   1 hour and 20 minutesnswer: 1 hour and 20 minutes
Answer: A