MU-NLPC/Calc-aqua_rat huggingface dataset:
A man sells an article at 7% loss. Had he sold it for Rs. 105/- more he could have gained 8%. what is the cost price of the article	Choose the most appropriate option: A) Rs. 522/- B) Rs. 622/- C) Rs. 700/- D) Rs. 600/- E) Rs. 750

Solution: Explanation:   Short cut method:   Loss =====> 7 %   Profit ====> 8 %   ~   ----------------   15 % ---------> 105   100 % --------> Rs.700/-   Answer: Option Rs. 700/-
Answer: C
If each edge of cube increased by 10%, the percentage increase in surface area is:  Choose the correct option
A) 33.1	B) 33.5	C) 33.7	D) 33.2	E) 33.9

Solution: 100 × (110)/100 × (110)/100 × (110)/100 => 1331/100 = 33.1%   33.1nswer is 33.1.
Answer: A
The arithmetic mean of set A is zero. If B = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of A consisting of all those elements in A which are more than two but less than three standard deviations away from the arithmetic mean of A, what could be equal to the standard deviation of A?  Options.
A) 0.54  B) 0.77  C) 0.82  D) 0.97  E) 1.62

Solution: This is a fairly straightforward question that can be solved quickly by just applying the options   We are provided with Mean, m= 0   and 0.77 = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of A   0.77 consists of all those elements in A that are more than 2 but less than 3 ADs away from the arithmetic mean of A   If an element is 1 AD away from the mean, we can write it as either m + AD or m - AD   Similarly, if an element is 2 ADs away from the mean, we can write it as either m + 2*AD or m - 2*AD   So, if these elements lie within 2 and 3 ADs of mean, m=0   we can find which one of these values of AD satisfies each value within 0.77   Only AD = 0.77 does   Answer : 0.77
Answer: B
A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?  Choose the correct choice from the following answers:	A) 20kmph	B) 22kmph	C) 24kmph	D) 26kmph	E) 28kmph

Solution: pony take 7 hours and horse take 4 hours...then Distance chased by them is 35*4.so speed of pony is   (35*4)/7= 
  (35*4)/7 = 20
20kmph.   20kmphNSWER:20kmph
Answer: A
The number of arrangements that can be made with the letters of the word SAMEES so that the vowels occupy the even places?	Choose the correct answer:
A) 14  B) 28  C) 777  D) 992  E) 36

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 3 places in 3! i.e., 6 ways.   Hence the total ways are  6 * 6= 
 6 * 6 = 36
36.   Answer:36
Answer: E
A sum is divided among A, B and C in such a way that for each rupee A gets, B gets 60 paisa and C gets 40 paisa. If the share of Z is RS. 20, what is the total amount?  Choose the correct choice from the following choices.
A) 60 B) 70 C) 80 D) 90 E) 100

Solution: a:b:c = 100:60:40   20:12:8   8 --- 20   40 --- ? => 100   Answer:100
Answer: E
A and B go around a circular track of length 300 m on a cycle at speeds of 34 kmph and 50 kmph. After how much time will they meet for the first time at the starting point? Choose the correct option:
A) 120 sec
B) 60 sec
C) 186 sec
D) 167 sec
E) 168 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 300/ (36 * 5/18) , 300/ (54 * 5 /18) }   = LCM (30, 20)   =60 sec.   Answer:60 sec
Answer: B
If n is a natural numbe, then(n3 - n)is always divisible by
Select the correct option
A) 8
B) 6
C) 12
D) 9
E) 4

Solution: Explanation:   Clearly, 223 is a prime number.   441 is divisible by 9.   357 is divisible by 3.   153 is divisible by 17.   Answer: Option 6
Answer: B
Hardy and Robert start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Robert. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
Options:
A) 50 B) 45 C) 35 D) 30 E) 60

Solution: let x=length of pool   at first meeting, combined distance=x   at second meeting, combined distance=3x   if andy swims 18.5 m of x, then he will swim  3*18.5= 
 3*18.5 = 55.5
55.5 m of 3x   andy's total distance to second meeting=x+10.5 m   x+10.5=55.5 m   x=45 m   45
Answer: B
Donald Trump took a flight in his private jet from New York City to Los Angeles for an election rally and returned back to New York City an hour later with the same weather conditions. If the 2700 mile flight to Los Angeles took 6 hours and the flight back to New York City took 5 hrs, what was the speed of the wind in mph? Choose the correct answer: A) 30 mph B) 35 mph C) 40 mph D) 45 mph E) 50 mph

Solution: Explanation:   Change the times into minutes first.   Speed from NYC to Los Angeles: (2700/360) X 60 = 450 mph   Speed from Los Angeles to NYC: (2700/300) X 60 = 540 mph   Wind speed: 1/2 (540 - 450) = 90/2= 
90/2 = 45
45 mph   Answer: Option 45 mph
Answer: D
In a division, a student took 72 as divisor instead of 36. his answer was 24 . The correct answer is-
Select: A) 42 B) 32 C) 48 D) 28 E) 38

Solution: X/72 = 24.   X = 24 *72.   So correct answer would be,   (24 *72) /36= 
(24 *72) /36 = 48
48.   ANSWER : 48
Answer: C
6,11, 21, 41, 81, (...)	Options.
A) 22
B) 35
C) 27
D) 32
E) 161

Solution: 161xplanation :   6   6× 2 - 1 = 11   11 × 2 - 1 = 21   21 × 2 - 1 = 41   41 × 2 - 1 = 81   81 × 2 - 1 = 161   Answer : Option 161
Answer: E
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity Q of the pool?
Pick.
A) 9000 cubic meters B) 10500 cubic meters C) 11750 cubic meters D) 12000 cubic meters E) 12500 cubic meters

Solution: D. 12000 cubic meters.   If both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in   (48*120)/(120-48)= 
  (48*120)/(120-48) = 80
80 minutes.   Now, if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120x and also 80 (x+50).   or, 120x= 80 (x + 50).   or x = 100.   Hence, the capacity of pool = 120x = 12000 cubic meters.
Answer: D
If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area? Choose the correct choice from the following answers.
A) 30 B) 40 C) 50 D) 60 E) 70

Solution: Length is halved.   i.e., length is decreased by 50%   Breadth is tripled   i.e., breadth is increased by 200%   Formula for 50hange in area is:   =(-x+y-xy/100)%   =(−50+200−50×200/100)%=50%   i.e., area is increased by 50%   Answer is 50.
Answer: C
If x is the smallest positive integer such that 4,536 multiplied by x is the square of an integer, then x must be Pick:
A) 12
B) 21
C) 16
D) 17
E) 14

Solution: 4536= 6*6*3*3* 7*3= 
 7*3 = 21
21   Ans: 21
Answer: B
An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price? Choose the correct option:	A) 72	B) 62	C) 26	D) 20	E) 12

Solution: Let CP = Rs. 100x   SP = Rs. 120x   MP = 120x/80 * 100 = Rs. 150x   D = Rs. 150x - Rs. 120x = Rs. 30x   D - P = 30x - 20x = Rs. 6, 10x = Rs. 6   120x = 120/10 * 6 = Rs. 72   72nswer:72
Answer: A
In city A, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. There is a park that runs from 5th Ave to 7th Ave and from 3rd Rd to 5th Rd, as pictured. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 6th Rd and 8th Ave in the shortest possible time without walking through the park, how many different routes could he take?
Is there any formula to find out directly??	Choose the correct choice from the following options.
A) 6 B) 66 C) 72 D) 126 E) 262

Solution: Center of the park is much important in this problem.   To pass through the park one must have to pass through this point and further to destination.   Ans = Total possible paths to destination(TPPD) - paths passing through the park (PPTP)   All possible paths covering min distance are permutation of pattern RRRRRUUUU R-> One step right / U-> One step up   Thus   TPPD = 9!/(5!x4!) = 126 (direct formula of permutation applied)   I have calculated PPTD in two steps first find all paths from origin to center of park:   1. Possible moves RRRUU total permutations 5!/(3!x2!) = 10   2. From park center to destination, in moves RRUU, total permutations as 4!/(2!x2!)=6.   Thus PPTD= 10 X 6 = 60   Ans = 126 -60= 
126 -60 = 66
66   ANSWER:66
Answer: B
The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?  Select:
A) 25% loss	B) 16 2/8% loss	C) 16 3/3% loss	D) 36 2/3% loss	E) 56 2/3% loss

Solution: 15 CP = 20 SP   20 --- 5 CP loss   100 --- ? => 25% loss   25% lossnswer:25% loss
Answer: A
If 360 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :  Choices
A) 50	B) 60	C) 40	D) 18	E) 22

Solution: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24   :. The smallest part = (360 *4/24)= 
(360 *4/24) = 60
60   ANSWER:60
Answer: B
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if k percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of k? Select:	A) 100p / (125 - p)	B) 150p / (250 - p)	C) 300p / (375 - p)	D) 400k / (500 - k)	E) 500p / (625 - p)

Solution: I have just started with qunats section .. I solved this by making two equations and got the answer ... However it was long way of doing it ...   I got the answer as : 100k /(125 - .25 k)...   Multiply this equation by 4 and you get 400k / (500 - k) as the answer ,...
Answer: D
What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 400.01  Choose the correct choice from the following choices
A) 88.65
B) 313.65
C) 300.12
D) 313.56
E) 315.15

Solution: Explanation:   a - 796.21 + 498.05 = 215.50 - 400.01   a = 313.65   ANSWER: 313.65
Answer: B
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 30min will be.  Choose the correct choice from the following
A) 80 km/h	B) 55 km/h	C) 40 km/h	D) 70 km/h	E) 65 km/h

Solution: Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=30/60hr=1/2hr   New speed = 40* 2/1= 
40* 2/1 = 80
80kmph   80 km/hnswer : 80 km/h
Answer: A
A rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper ?
Pick:
A) 140 cm
B) 240 cm2
C) 560 cm2
D) None of these
E) Cannot be determined

Solution: Solution   When folded along breadth, we have : 2(l/2 +b) = 34 or l + 2b = 34   When folded along length, we have : 2(l/2 +b) = 38 or 2l + b = 38   Solving (i) and (ii), we get : l = 14 and b = 10.   ∴ 140 cmrea of the paper = (1410) cm2 = 140 cm2 140 cmnswer 140 cm
Answer: A
A man being asked how much he gave for his watch, replied; If you multiply the price by 4, and to the product add 70, and from this sum subtract 50, the remainder will be equal to 220 dollars.  Choose the correct option:
A) 40	B) 50	C) 60	D) 70	E) None of these

Solution: Solution   Let the price of the watch be represented by x   This price is to be multiplied by 4, which makes 4x   To the product, 70 is to be added, making 4x + 70   From this, 50 is to be subtracted, making 4x + 70 - 50   Here we have a number of the conditions, expressed in algebraic terms; but have as yet no equation. We must observe then, that by the last condition of the problem, the preceding terms are said to be equal to 220.   We have, therefore, this equation 4x + 70 - 50 = 220   Which reduced gives x = 50.   Here the value of x is found to be 50 dollars, which is the price of the watch.   Answer 50
Answer: B
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/3 the number of cans that Karen collected and 1/4 the number of cans that Luke collected. The number of cans that Karen collected was what fraction of the total number of cans that John, Karen, and Luke collected?	Choose the correct choice from the following answers: A) 1/4 B) 1/3 C) 2/5 D) 1/2 E) 2/3

Solution: John = (1/3)Karen --> Karen = 3(John)   John = 1/4(Luke) --> Luke = 4(John)   Total = 12(John)   Karen/Total = 3/12 = 1/4   1/4nswer: 1/4
Answer: A
How many liters of pure alcohol is in a 5 liter bottle where the alcohol is at 30 percent?
Choose the correct choice from the following answers:
A) 2.5
B) 2
C) 1
D) 3
E) 1.5

Solution: 5/10= 
5/10 = 1/2 = around 0.5
.5   .5 x 3= 1.5   Answer is 1.5
Answer: E
Which of the following expressions CANNOT be equal to 0 when x^2 + 7x = -12 ?
Choose one:
A) x^2 + 2x − 8 B) x^2 − 4x + 3 C) x^2 − 4x − 21 D) x^2 + 2x − 3 E) x^2 +3x − 4

Solution: x^2 +7x = -12   x^2 + 7x 12 = 0   x=-3 or x= -4   All other choices result in a possibility of 0 when you plug in -3 or -4 for x except   x^2 − 4x + 3   Answer is x^2 − 4x + 3
Answer: B
From a Nine-member dance group, four will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the nine members, what is the probability that both will be chosen to volunteer?
Answers
A) a) 1/21
B) b) 1/7
C) c) 4/21
D) d) 2/7
E) e) 1

Solution: Total number of ways to choose 4 out of 9 = 9C4 = 2520.   Number of ways to choose 2 (any but Kori and Jason) out of 7 (excluding Kori and Jason) = 7C2 = 2520.   P = favorable/total = 2520/2520= 
2520/2520 = 1
1.   Answer: e) 1.
Answer: E
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?
Choose the correct answer:
A) 1
B) 2
C) 3
D) 4
E) none of these

Solution: A number ending in 8 can never be a perfect square.   Answer: none of these
Answer: E
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?	Choose the correct choice from the following answers:
A) 228
B) 236
C) 120
D) 988
E) 266

Solution: 4x 5x 6x   100 50 25   400x + 350x + 150x = 16000   x = 20   6x = 120   Answer:120
Answer: C
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 150 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?  Choose the correct choice:
A) 60 miles
B) 80 miles
C) 90 miles
D) 140 miles
E) 400 miles

Solution: Answer = D. 140 miles   Relational speed = 150 - 100= 
150 - 100 = 50
50 miles per hour   In 3 hours, difference= 50 * 3= 
50 * 3 = 150
150 miles   Fast train trailing 10 miles, so effective difference= 150 - 10= 
150 - 10 = 140
140 miles
Answer: D
If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2? Choose the correct choice from the following answers
A) a)28 B) b)26 C) c)12 D) d)10 E) e)42

Solution: a, b and c are even integers which means that, supposing that x, y and z are integers, then a=2x, b=2y and c=2z   Therefore we have: a^2+b^2+c^2=2^2*x^2+2^2*y+2^2*z=4x^2+4y^2+4z^2=4(x^2+y^2+z^2).   Which means that the total a^2+b^2+c^2 must be divisible by 4.   The only choice which is divisible by 4 is: c)12)   12=2^2+2^2+2^2   Answer: c)12.
Answer: C
At what price must an article costing Rs.100 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?	Choose the correct option.
A) 131.58
B) 62.0
C) 62.6
D) 62.1
E) 62.2

Solution: CP = 100   SP = 100*(125/100)= 
100*(125/100) = 125
125   MP*(95/100)= 125   MP = 131.58   131.58nswer: 131.58
Answer: A
Sheela deposits Rs. 2500 in bank savings account. If this is 25% of her monthly income. What is her monthly income in?	Choose the correct choice from the following choices:
A) 10000  B) 20000  C) 25000  D) 22235  E) None of these

Solution: Explanation :   25% of income = Rs. 2500   100% of income = 2500 X 100/25 = Rs. 10000   10000nswer : 10000
Answer: A
The sum of three numbers is 196. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Choose the most appropriate option:	A) 60	B) 30	C) 38	D) 48	E) None of these

Solution: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15   and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24   Therefore, A : B : C = 10 : 15 : 24   ∴ A : B : C = 10 : 15 : 24   Let the number be 10x, 15x and 24x.   Then, 10x + 15x + 24x = 196   or 49x = 196 or x = 4   ⇒ Second number = 15x = 15 × 4 = 60   60nswer 60
Answer: A
A train travels from New York to Chicago, a distance of approximately 270 miles, at an average rate of 30 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Select the correct option:
A) 3:00  B) 4:00  C) 10:00  D) 6:00  E) 7:00

Solution: 6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago 7:00 in the evening, New York time.   The trip took T=D/R=270/30= 
270/30 = 9
9 hours. Therefore, the train depart from New York at 7:00 - 9 hours= 10:00 in the morning, New York time.   Answer: 10:00.
Answer: C
Seats for Maths, Physics and Biology are in the ratio of 7 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
Choices:
A) 14 : 15 : 20
B) 6 : 7 : 8
C) 6 : 8 : 9
D) Cannot be determined
E) None of these

Solution: Reqd ratio 7 Ã— 140â„100 : 7 Ã— 150â„100 : 8 Ã— 175â„100   = 7 Ã— 140 : 7 Ã— 150 : 8 Ã— 175 = 14 : 15 : 20   14 : 15 : 20nswer 14 : 15 : 20
Answer: A
A man rows his boat 120 km downstream and 92 km upstream, taking 4 hours each time. Find the speed of the stream?
Choose the correct choice from the following answers:
A) 6 kmph B) 4 kmph C) 2 kmph D) 8 kmph E) 1 kmph

Solution: Speed downstream = d/t = 120/(4)= 
120/(4) = 30
30 kmph   Speed upstream= d/t = 92/(4)= 
92/(4) = 23
23 kmph   The speed of the stream= (30 - 23)/2 = 4 kmph   Answer:4 kmph
Answer: B
The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?  Choose the correct choice from the following answers:
A) 8.56 kg
B) 7.76 kg
C) 7.756 kg
D) 6.832 kg
E) 6.932 kg

Solution: 52 * 40 * 29= 
52 * 40 * 29 = 60_320
60320   48 * 36 * 27= 46650   ------------   13664   13664 * 1/2= 
13664 * 1/2 = 6_832
6832=> 6.832 kg   ANSWER:6.832 kg
Answer: D
A couple married in 1980 had two children, one in 1982 and the other in 1984. Their combined ages will equal the years of the marriage in?
Choose the correct choice from the following options:	A) 1986	B) 1985	C) 1987	D) 1988	E) 1989

Solution: Sum of year = 1+9+8+0 =(18) 1+8 = 9   1+9+8+2 =(20) 2+0 = 2   1+9+8+4 = (13) 1+3 = 4   Now 9+2+4= (15) 1+5= 6   Nd option 1986 1+9+8+6 = 24(2+4)= 6   1986NSWER:1986
Answer: A
The length of a rectangle is five times of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 16 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 11 units?	Choices.
A) 180 sq.units
B) 11 sq.units
C) 110 sq.units
D) 140 sq.units
E) 220 sq.units

Solution: Given that the area of the square = 16 sq.units   => Side of square = âˆš16 = 4 units   The radius of the circle = side of the square =4 units   Length of the rectangle = 5* 4= 
5* 4 = 20
20 units   Given that breadth= 11 units   Area of the rectangle = lb = 20 * 11= 
20 * 11 = 220
220 sq.units   Answer:220 sq.units
Answer: E
If A:B = 1/4: 1/3 B:C = 1/2:1/3 then A:B:C?  Choose the most appropriate option:
A) 9:6:6 B) 9:12:8 C) 9:6:2 D) 9:6:4 E) 9:6:1

Solution: A:9:12:8 = 1/4:1/3 = 3:4   9:12:8:C = 1/2:1/3 = 3:2   --------------------   A:9:12:8:C = 9:12:8   Answer:9:12:8:
Answer: B
Find the odd man out
1, 2, 5, 14, 41,126 Choose the correct answer.
A) 2 B) 126 C) 124 D) 41 E) 21

Solution: 1*3-1= 
1*3-1 = 2
2   2*3-1= 
2*3-1 = 5
5   5*3-1= 
5*3-1 = 14
14   14*3-1= 
14*3-1 = 41
41   41*3 -1= 
41*3 -1 = 122
122   ANSWER:126
Answer: B
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $7 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Pick
A) 9% B) 10% C) 11% D) 12% E) 15%

Solution: You know that Fox jeans costs $15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So   3(15) = 45 - Fox   2(18) = 36 - Pony   The total discount discount is $3 and you are asked to find the percent discount of pony jeans,   so 45(18 - X)/100 + 36(X)/100 = 7 or 45*18 -45*x + 36*x =7*100 or 9x = -7*100 +45*18= 
-7*100 +45*18 = 110
110/9=12.2%   15%
Answer: E
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.6? Choose one:
A) 12.6.
B) 14.4.
C) 15.8.
D) 16.2.
E) 16.4

Solution: [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.6   = 6*0 + 2*7.2 + 8 - 6.6   = 0 +14.4 +1.4   15.8   Answer 15.8.
Answer: C
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors S does the number 4x have?	Select:
A) 4y
B) 3y
C) 16y
D) 5y
E) Cannot be determined

Solution: I tried for x=2,4 and 6. The integral factors S for x and 4x did not have any specific relation.   My answer is Cannot be determined.
Answer: E
A hall is 24 meters long and 12 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?
Choose one.
A) 1896	B) 1912	C) 2108	D) 2304	E) 2524

Solution: 2HL + 2= 
+ 2 = 2
2LW   H= LW / (L+W)   Volume = LWH = (LW)^2 / (L+W) = 2304   The answer is 2304.
Answer: D
5^x +25* 4^-x = 10 What is the value of x?
Pick one:
A) -1	B) -1/2	C) 0	D) 1	E) 1/2

Solution: let 5^x = t   t+ 25*1/t =10   t^2 -10t +25 =0   (t-5)^2=0   t-5=0   t=5   5^x=5   x=1   Ans: 1
Answer: D
There is a 5% chance that Tigers will not win at all during the whole season. There is a 5% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season?  Choose the most appropriate option:	A) 55%	B) 60%	C) 70%	D) 72%	E) 95%

Solution: There is a 5% chance that Tigers will not win at all during the whole season   We can infer that there is 95% chance Tigers will win .   Similarly There is a 5% chance that Federer will not play at all in the whole season   We can also infer that there is 95% chance that Federer will play.   Answer 95%
Answer: E
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?  Options:
A) 27
B) 29
C) 31
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