MU-NLPC/Calc-aqua_rat huggingface dataset:
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?	Choose the correct choice from the following options.
A) 39  B) 23  C) 28  D) 96  E) 26

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)   (b + c)/2 = 48 => b + c = 96 --- (2)   Answer: 96
Answer: D
The avg weight of A,B & C is 60 kg. If D joins the group, the avg weight of the group becomes 65 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 64 kg. What is the weight of A?  Pick.
A) 56 B) 65 C) 75 D) 89 E) 87

Solution: A + B + C = 3 *60= 
3 *60 = 180
180   A + B + C + D= 4 * 65= 
4 * 65 = 260
260 ---- (i)   So, D= 80& E = 80 + 3= 
80 + 3 = 83
83   B + C + D +E= 64 * 4= 
64 * 4 = 256
256 --- (ii)   From Eq. (i) & (ii)   A-87= 260 – 256 = 4   A = 87 +4 = 83 + 4= 
83 + 4 = 87
87   Answer : 87
Answer: E
If 3y + x > 2 and x + 2y <= 3 , What can be said about the value of y? Options
A) y = 1	B) y >1	C) y > -2	D) y > -1	E) None of these

Solution: Explanation :   3y + x > 2 -----(1)   x + 2y < = 3   => x + 2y + y < = 3 + y   => x + 3= 
+ 3 = 3
3 + y -----(2)   From (1)&(2)   2 < 3y + x < 3 + y=> 2 < 3 + y   => -1 < y   => y > -1   Hence (D) is the correct answer.   Answer : y > -1
Answer: D
If the sum of 7 consecutive negative integers is -70, what is the value of the 2nd number in the sequence? Choose the correct option.
A) 8
B) -9
C) -8
D) 9
E) 6

Solution: if sum is -70, the average = median = -70/7 = -10 = which is the middle in the sequence.   7/2 = 3.5. When rounded up = 4. So -10 is the 4th in the sequence.   4th - 2nd = 2 numbers away.   -10 + 2= -8   Answer: -8
Answer: C
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Seven years from today, the difference between the age of the boy and the combined ages of the girls will be  Answers.
A) 1  B) 2  C) -3  D) –6  E) –1

Solution: Approach I (Plugin's)   Girl I ............... Girl II ................ Boy   1 ....................... 1 ........................ 3 (Assume the current ages)   1 + 1 < 3 .......... (Satisfies the given condition)   1 Year later there ages are   2 ....................... 2 ......................... 4   2 + 2= 
2 + 2 = 4
4 ............ (Satisfies the given condition)   After 7 years there ages are   8 ....................... 8 ............................ 10   –6ifference= 10 - (8+8) = 10 - 16 = -6   Answer = –6
Answer: D
The speed of three cars in the ratio 3 : 4 : 5. The ratio between time taken by them to travel the same distance is Pick one:
A) 20 : 15 :92  B) 20 : 15 :19  C) 20 : 15 :29  D) 20 : 15 :11  E) 20 : 15 :12

Solution: Let the speeds of cars be 3x, 4x and 5x kmph   Distance travelled by each car be y km   \inline \therefore Ratio of times taken = \inline \frac{y}{3x}:\frac{y}{4x}:\frac{y}{5x}   = \inline \frac{1}{3}:\frac{1}{4}:\frac{1}{5}   = 20 : 15 :12   Answer:20 : 15 :12
Answer: E
It costs $3 for the first 30 minutes to make a collect call. After the first 30 minutes it costs $5 per hour. If a certain customer make a collect call lasting for 4 hours and 30 minutes, how much will it cost her?  Choose the correct choice from the following answers:
A) $23 B) $25 C) $80 D) $15 E) $12

Solution: 4 hrs 30 min = 270 min   First 30 min ------> $3   Time left is 240 min...   Now, 60 min costs $ 5   1 min costs $ 5/60   240 min costs $  5/60*240= 
 5/60*240 = 20
$ 20   So, Total cost will be $20 + $3 = $ 23   The answer will be ($23) $2320 +  3= 
20 +  3 = 23
$ 23   The answer will be ($23) $23
Answer: A
A positive integer, when divided by 6 gives the remainder 2, and when divided by 8 gives the remainder 4. What is the remainder when the integer is divided by 48?
. Select:	A) 0	B) Between 1 and 6, inclusive	C) Between 7 and 12, inclusive	D) Between 13 and 19, inclusive	E) Greater than or equal to 20

Solution: Given number = 6n+2 = 8m+4   Start 6n+2 --> 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68....   Of these only 20 and 68 fit the description 8m+4.   In both cases the remainder when divided by 48 is 20.   So answer has to be Greater than or equal to 20.6 +2= 
6 +2 = 8
8m+4   Start 6n+2 --> 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68....   Of these only 20 and 68 fit the description 8m+4.   In both cases the remainder when divided by 48 is 20.   So answer has to be Greater than or equal to 20.
Answer: E
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
Choose the most appropriate option.
A) 145°	B) 150°	C) 155°	D) 160°	E) None

Solution: Solution   Angle traced by hour hand in   12 hrs	=360°   Angle traced by hour hand in   5 hrs 10 min	= 31 / 6 hrs   =[360 / 12 x 31 / 6]   = 155°.   Answer 155°
Answer: C
By selling 50 meters of cloth. I gain the selling price of 14 meters. Find the gain percent?	Options.
A) 42 7/7% B) 42 5/8% C) 38 8/9% D) 42 6/8% E) 42 1/7%

Solution: SP = 38 8/9%P + g   50 SP = 50 38 8/9%P + 14 SP   36 SP = 50 38 8/9%P   36 --- 14 38 8/9%P gain   100 --- ? => 38 8/9%   Answer: 38 8/9%
Answer: C
Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it? Select the correct option:
A) 8
B) 21
C) 24
D) 27
E) 30

Solution: C = A + B   D = 3C = 3(A+B) = 4B   Then B = 3A and C = 4A   The combined rate of the four machines is A + 3A + 4A + 12A = 20A   Machine A can complete the work in 420 minutes, so its rate is 1/420 of the work per minute.   The combined rate is 20/420 = 1/21 so the work will be completed in 21 minutes.   The answer is 21.
Answer: B
The difference between a number and its three fifth is 50. What is the number? Choose the most appropriate option:
A) 75	B) 100	C) 125	D) 175	E) 187

Solution: Sol.   Let the numbers be x.   Then, x-3/5x = 50   ⇔2/5x = 50⇔ x = (50x5/2) = 125.   Answer 125
Answer: C
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choose one:
A) 5729
B) 5760
C) 5729
D) 5720
E) 5192

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4= 
 24 * 60 * 4 = 5_760
5760   Answer:5760
Answer: B
What will be the compound interest on a sum of Rs. 20,000 after 3 years at the rate of 12% p.a.?  Select the correct option:
A) s.10123.22	B) s.10823.20	C) s.10123.20	D) s. 8098.56	E) s.10123.28

Solution: Explanation:   Amount = [20000 * (1 + 12/100)3]   = 20000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20   C.I. = (35123.20 - 20000) = Rs. 8098.56   Answer:s. 8098.56
Answer: D
A company has 600 employees, 40% of whom are employed Full time. If it hires 100 new employees, 15% of whom are employed part time, what will be the new percent of part time employees in total?
Answers.
A) 1 2/3 %	B) 2 2/3 %	C) 4 %	D) 46.43 %	E) 9 %

Solution: Total employee = 600   Full time Empl = 600 * 40/100= 
600 * 40/100 = 240
240   Part time Emp= 600 - 240= 
600 - 240 = 360
360   New part time empl= 100 * (15/100)= 
100 * (15/100) = 15
15   Total new part time Emp= 15+360= 
15+360 = 375
375   Old part time Emp= 360   Total Emp = 600 + 100= 
600 + 100 = 700
700   % of new part-time= (Total employee - new part time)*100 /total emp   = (700-375)*100/700   = 46.43 %   46.43 %
Answer: D
A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 5 km?  Select:
A) 2.0
B) 2.5
C) 3.0
D) 3.5
E) 4.0

Solution: The swimmer can swim against the current at a speed of 4-2= 
4-2 = 2
2 km/h.   The time it will take is  5/2= 
 5/2 = 5/2 = around 2.5
2.5 hours.   The answer is 2.5.
Answer: B
An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?	Select the correct option.
A) 0.084  B) 0.916  C) 0.036  D) 0.964  E) 0.92

Solution: Sum of probabilities of each shot= 0.7+0.3*0.6+0.3*0.4*0.5+0.3*0.4*0.5*0.4= 
0.7+0.3*0.6+0.3*0.4*0.5+0.3*0.4*0.5*0.4 = 0.964
0.964   ANSWER:0.964
Answer: D
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?  Choose the correct choice from the following options.
A) 33 B) 250 C) 138 D) 278 E) 288

Solution: Explanation:   Circumference = No.of revolutions * Distance covered   Distance to be covered in 1 min. = (66 X1000)/60 m = 1100 m.   Circumference of the wheel = 2 x (22/7) x 0.70 m = 4.4 m.   Number of revolutions per min. =(1100/4.4)= 
(1100/4.4) = 250
250.   Answer: 250) 250
Answer: B
Jackson invested $600,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?	Choose the correct choice from the following answers.
A) $115,384	B) $120,000	C) $121,072	D) $124,129	E) $130,000

Solution: x be the amount invested in account P   0.12*x +(600000-x)*0.25=60,000   15000/.13=x   x=1500000/13=11...=$124,129   hence answer is $124,129
Answer: D
To mail a package, the rate is u cents for the first pound and v cents for each additional pound, where u>v. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?  Choose the correct choice from the following options:
A) Combined, with a saving of u-v cents
B) Combined, with a saving of y-x cents
C) Combined, with a saving of x cents
D) Separately, with a saving of x-y cents
E) Separately, with a saving of y cents

Solution: This means it costs x cent for the first pound in weight for example, 20 cents for the first pound.   It costs y cents for the every pound in weight above this, for example 10 cents for pound 2 and 10 cents for pound 3.   x is more than y. for example 20 cents vs. 10 cents   3 pounds: x+2y   5 pounds:x+4y   Total: 2x+6y   8 pounds: x+7y   So we are saving:   (2X+6y) - x+7y   = x-y cents   Combined is cheaper as we maximise y and minimize x.   Combined, with a saving of u-v centsnswer is:   1) Combined, with a saving of x-y cents
Answer: A
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 5 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?  Options
A) 32 km
B) 20 km
C) 65 km
D) 18 km
E) 16 km

Solution: Distance = Relative Speed * Time   = (5 + 3) * 4= 
(5 + 3) * 4 = 32
32 km   [ They are travelling in the opposite direction, relative speed= sum of the speeds].   32 kmnswer: 32 km
Answer: A
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.60 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?  Answers.
A) 0.40x B) 1.20x C) 1.40x D) 1.60x E) 3.20x

Solution: because we have a total of 4X   Also from Mar- Oct the rakes will be deducted by 1/8 X   so   In Apr they pay for the storage 0.6 * 4X * 7/8   In May they pay for the storage 0.6 * 4X * 6/8   In Jun they pay for the storage 0.6 * 4X * 5/8   In Jul they pay for the storage 0.6 * 4X * 4/8   In Aug they pay for the storage 0.6 * 4X * 3/8   In Sep they pay for the storage 0.6 * 4X * 2/8   In Oct they pay for the storage 0.6 * 4X * 1/8   total = 0.1 * 4X * 1/8 * [ 1+2+3+4+5+6+7]   = 0.6 * X/2 * (28)   = 8.4X   (3.20x)
Answer: E
Set A contains all the even numbers between 6 and 50 inclusive. Set B contains all the even numbers between 106 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?	Choose the correct choice:
A) 2300
B) 2550
C) 5050
D) 6275
E) 11325

Solution: Set A contains 6, 8, ... 50   Set B contains 102 , 104 , 106 ... 150   Number of terms in each set = 23   Difference between corresponding terms in set 2300 and B = 100   Difference between Sum of set B and set 2300 = 100*23= 
100*23 = 2_300
2300   2300nswer 2300
Answer: A
A clothing store purchased a pair of pants for $90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a clothing store owner decided to decrease the selling price by 20 percent. What was the clothing store's gross profit on this sale? Choices:	A) $14	B) $5	C) $10	D) $6	E) $8

Solution: Sale Price(SP) = 90 + Markup(MP)   --> Mp = SP-90   and given MP=SP/4 ( 25% is 1/4th)   so SP/4= SP-90   3SP/4= 90   SP=120   Now a discount of 20% is given so NEW SP is .8 *120= 
.8 *120 = 96
96   Profit=96-90= 
96-90 = 6
6.0$   Answer is $6
Answer: D
A = {0, 1, -3, 6, -8}
B = {-1, 2, -4, 7}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Choose the correct choice from the following choices.
A) 1/4
B) 1/3
C) 2/5
D) 4/9
E) 1/2

Solution: For the product of 2 numbers to be positive either both of them must be positive or both of them must be negative:   P(positive, positive) = 2/5*2/4 = 4/20;   P(negative, negative) = 2/5*2/4 = 4/20.   P = 4/20 + 4/20 = 8/20 = 2/5.   Answer: 2/5.
Answer: C
If (1 / 3.718) = 0.2689, Then find the value of (1 / 0.0003718).	Select:
A) 2689
B) 2869
C) 2968
D) 2986
E) None of them

Solution: (1 / 0.0003718 ) = ( 10000 / 3.718 ) = 10000 * (1 / 3.718) = 10000 * 0.2689= 
10000 * 0.2689 = 2_689
2689.   2689nswer is 2689.
Answer: A
A picnic attracts 240 persons. There are 60 more men than women, and 60 more adults than children. How many men are at this picnic?
Pick.
A) 240	B) 75	C) 110	D) 130	E) 85

Solution: Adult + Children = 240   Let, Children = y   then, Adult = y+60   i.e. y+(y+60) = 240   i.e. y = 90   i.e. Adult = 90+20= 
90+20 = 110
110   Adults include only Men and Women   i.e. Men + Women= 110   Let women, W = x   then Men, M = x+60   i.e. x+(x+60) = 2x+60 = 110   i.e. x = 25   i.e. Men, M = 25+60= 
25+60 = 85
85   Answer: Option 85
Answer: E
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 22 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 22 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year? Choose the correct choice from the following choices
A) 447.5  B) 450  C) 465  D) 468  E) 475

Solution: Total number of installments = 52   Payment per installment for the first 22 installments = 410   Payment per installment for the remaining 30 installments = 410+65= 
410+65 = 475
475   447.5verage= (22*410 + 30*475)/52= 
(22*410 + 30*475)/52 = 895/2 = around 447.5
447.50   447.5nswer 447.5
Answer: A
The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
Choose the correct choice from the following answers:
A) 10% B) 21% C) 25% D) 40% E) 45%

Solution: Sol. Required change = (20*100)/(100-20)= 
(20*100)/(100-20) = 25
25%   25%
Answer: C
A bag contains 5 red, 6 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? Choose the correct choice from the following choices
A) 1/13 B) 2/23 C) 5/39 D) 4/27 E) 3/23

Solution: P(Both are red),   55/392135/392=65/392135/392   =10/78=5/39   5/39
Answer: C
The batting average of a particular batsman is 59 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Answers
A) 156 B) 208 C) 210 D) 223 E) 229

Solution: Explanation:   Total runs scored by the batsman = 59*46= 
59*46 = 2_714
2714 runs   Now excluding the two innings the runs scored= 58*44= 
58*44 = 2_552
2552 runs   Hence the runs scored in the two innings= 2714 – 2552 = 162 runs.   Let the highest score be x, hence the lowest score = x – 150   x + (x - 150) = 162   2x = 312   x = 156 runs   156NSWER 156
Answer: A
How many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number? for example if we take 98 then 9*8=72, 72=7*2=14, 14=1*4=4. Consider only 4 prime no.s (2,3,5,7)  Choose the correct choice from the following answers.
A) 16	B) 17	C) 18	D) 19	E) 20

Solution: we know prime no. are 2 ,3 , 5, 7   mulply by 1 is prime no   2 = 21(2*1)=73(7*3)   2 = 21 (2*1)=37(3*7)   2= 12(1*2)=43(4*3)or34(3*4)   or26(2*6)or62(6*2)   .   .   .similarly for all prime no then u will got it....   12,13,15,17,21,26,31,34,35,37,43,51,53,57,62,71,73,75   ans is 18   ANSWER:18
Answer: C
When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 134.08, what is value of J? Choose the correct choice from the following answers:
A) 22 B) 56 C) 78 D) 112 E) 150

Solution: 1) We know that   decimal part of decimal quotient ={remainder/divisor}   So 0.08, the decimal part of the decimal quotient, must equal the remainder, 12, divided by the divisor J.   0.08 = 12/J   0.08*J = 12   J = 12/0.08 = 1200/8 = 300/2= 
300/2 = 150
150   So J= 150, answer = 150.
Answer: E
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 90.Find the number of notes of Rs.50 denomination.	Options.
A) 15  B) 21  C) 17  D) 57  E) 77

Solution: Total Money = Rs. 10350.   Let 50 rupees note was X.   Then 500 rupees note = 90 - X   Now,   50*X + 500 * (90 - X) = 10350   50X + 45000 - 500X = 10350   - 450X = - 34650   X = 77.   No. of 50 rupees note = 77.   Answer: Option 77
Answer: E
What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?	Choices:
A) Rs.2.04	B) Rs.2.08	C) Rs.2.02	D) Rs.2.83	E) Rs.2.42

Solution: C.I. when interest is compounded yearly   = [5000 * (1 + 4/100) * (1 + (1/2 * 4)/100]   = 5000 * 26/25 * 51/50 = Rs. 5304   C.I. when interest is compounded half-yearly   = [5000 * (1 + 2/100)2]   = (5000 * 51/50 * 51/50 * 51/50)   = Rs. 5306.04 Difference   = (5306.04 - 5304)   = Rs.2.04.   Rs.2.04nswer: Rs.2.04
Answer: A
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount? Choose the correct choice from the following:	A) 3xr/2	B) 3x/200r	C) 3r/200x	D) 3xr/200	E) xr/600

Solution: r/100 dollars per person per mile   one person going x miles will be charged rx/100   50% discount = rx/200   3 such people = 3rx/200 ;   ANSWER:3xr/200
Answer: D
How many of the following numbers are divisible by 132?
396, 462, 792, 965, 2178, 5184, 6336
Choose the correct choice from the following answers: A) 3 B) 5 C) 6 D) 7 E) 8

Solution: Explanation:   A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.   Clearly, 965 is not divisible by 3. None of 462 and 2178 is divisible by 4.   Also, 5184 is not divisible by 11.   Each one of remaining 3 is divisible by each one of 11, 3 and 4 and therefore, by 132.   3nswer: 3
Answer: A
In the coordinate plane, one of the vertices of a square is the point (-5, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?	Pick one
A) 100	B) 225	C) 169	D) 256	E) 324

Solution: One point (-5-4), Intersection (3,2) so the distance from the first point -5-3=-8 is the midpoint of the square --> whole side 16, 16*16=256   256
Answer: D
A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Choose the correct option:  A) 35 km/hr  B) 53 km/hr  C) 45 km/hr  D) 65 km/hr  E) 87 km/hr

Solution: Speed of the train relative to man   = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed   = (x - 8) km/hr. x - 8 = 45 ==> x = 53 km/hr.   Answer: 53 km/hr
Answer: B
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choices:
A) 54  B) 432  C) 2,160  D) 2,916  E) 148,824

Solution: We have the rectangle with dimensions 9*3 (9 horizontal dots and 3 vertical). AB is parallel to y-axis and AC is parallel to x-axis.   Choose the (x,y) coordinates for vertex A: 9C1*3C1;   Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);   Choose the y coordinate for vertex B (as x coordinate is fixed by A): 2C1, (3-1=2 as 1 vertical dot is already occupied by A).   9C1*3C1*8C1*2C1=432.   Answer: 432.
Answer: B
What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?
Choose the correct choice:  A) 0%  B) 20% increase  C) 20% decrease  D) 1% decrease  E) Insufficient data

Solution: Explanatory Answer   Whenever you encounter problems like this, use a numerical example and then proceed.   For ease of computation, it is safe in most cases, to assume the length to be 100 units and the width to be 100 units.   (Remember, a square is a rectangle too and the problem works the same way when you assume different values for length and width. Computation becomes a bit tedious with different values for length and width)   Area of a rectangle = length * width = 100 * 100 = 10,000 sq units.   When the length increases by 10%, the new length becomes 110 units.   And as the width decreases by 10%, new width becomes 90 units.   Therefore, New area = 110 * 90= 
110 * 90 = 9_900
9900 sq units.   New area is 100 sq units lesser than the original area.   % change in area= ((change in area)/(original area)) * 100   = (100/10,000)*100 = 1% decrease in area   The correct choice is (1% decrease)
Answer: D
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554?	Pick.
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Solution   Som of decimal places	= 7.   Since the last digit to the extreme right will be zero ( ∴ 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.   Answer 6
Answer: B
The product of the prime integers between 53 and 60, inclusive, is:	Choose the most appropriate option
A) 50! – 40!  B) 178,239  C) 2,303  D) 2,021  E) 2,000

Solution: only prime number bet ween 53 and 60 inclusive are 53, 57, 59   thus 53*57 * 59= 178,239   Ans: 178,239
Answer: B
If (4 - x)/(4 + x) = x, what is the value of x^2 + 5x - 4?  Select the correct option
A) 0
B) 2
C) 4
D) 6
E) 8

Solution: (4-x) = x*(4+x)   (4-x) = 4x+x^2   0 = x^2+5x-4   The answer is 0.
Answer: A