MU-NLPC/Calc-aqua_rat huggingface dataset:
In a survey, 60 percent of the people surveyed admitted to being smokers, while 25 percent of the people surveyed who were smokers declined to include that information in the survey. What percent of the people surveyed were actually smokers?
Choices:  A) 20%  B) 80%  C) 90%  D) 75%  E) 85%

Solution: Statement: 60% of People Surveyed (PS) Admitted to being Smokers (AS). Of the people who took the survey who were Smokers (S), 25% declined to admit to being smokers (notAS). [Note: A Venn Diagram is useful to visualize the problem.]   Solution: Sample space is 100%.   PS = 100%   AS/PS = 60%   notAS/S = 25% => 100% - 25% => AS/S = 75%   S/PS = (60)/(75)% = 80%   Answer: 80%
Answer: B
The tax on a commodity is diminished by 25% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?  Choose the correct choice from the following.
A) 12%
B) 14%
C) 16%
D) 20%
E) 17.5%

Solution: 17.5%xplanation:   100 * 100= 
100 * 100 = 10_000
10000   75 * 110= 
75 * 110 = 8_250
8250   10000------- 1750   100 ------- ?= 17.5%   17.5%)
Answer: E
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank? Select: A) 65 hrs B) 16 hrs C) 88 hrs D) 55 hrs E) 41 hrs

Solution: 1/20 + 1/30 = 1/12   1 + 1/3 = 4/3   1 --- 12   4/3 --- ?     4/3 * 12= 
  4/3 * 12 = 16
16 hrs   Answer:16 hrs
Answer: B
Ben is driving on the highway at y miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour? Choose the most appropriate option
A) 5,280(x/y)
B) 5,280(y/z)
C) 5,280(xy)
D) 5,280/(xy)
E) (xy)/5,280

Solution: In one hour, at the rate of y miles per hour, Ben covers y miles, so 5,280y feet.   The number of revolutions = distance/circumference = 5,280y/z.   Answer: 5,280(y/z).
Answer: B
If there is exactly one root of the equation x^2 + 2ax + b, where a and b are positive constants, what is b in terms of a?  Choose the correct option
A) a/2	B) a	C) 3a/2	D) a^2	E) a^2/4

Solution: one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1   Here b = 2a   c= b   a = 1   substituting these values in 1, we have   2^2*a^2 = 4b => b =a^2   Answer is a^2.
Answer: D
If x is a positive integer with fewer than 3 digits, what is the probability that Z x*(x + 1) is a multiple of either 4 or 5?	Choose the correct choice from the following options:
A) 4/99 B) 2/25 C) 8/99 D) 49/100 E) 86/99

Solution: Interesting question! Also one that we should be able to answer very quickly be keeping an eye on our best friends, the answer choices.   We know that x belongs to the set {1, 2, 3, ... , 99}. We want to know the probability Z that x(x+1) is a multiple of either 4 or 5.   When will this happen? If either x OR (x+1) is a multiple of 4 or 5.   Since 4*5 is 20, let's look at the first 20 numbers to get a rough idea of how often this happens.   Out of the numbers from 1 to 20:   4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 20   So, 14 out of the first 20 numbers match our criteria. Since:   probability = (# of desired outcomes)/(total # of possibilities), we guesstimate the answer to be 14/20. Since (86/99) is the only answer greater than 1/2, we go with (86/99).
Answer: E
A man sells a horse for Rs.620 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?  Choose the correct option: A) 587 B) 679 C) 740 D) 860 E) 898

Solution: 740P = SP + 1740P = SP - g   620 + x = 980 - 2x   3x = 360 => x   = 120   740P = 620 + 120= 
620 + 120 = 740
740   Answer:740
Answer: C
Type the missing number.
-95,-90,-85,x, -75,-70	Select the correct option:
A) -82	B) -86	C) -76	D) -60	E) -80

Solution: Added with +5 Previous Number get next number   -85+5 =-80   answer :-80
Answer: E
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 13 multiples of 14, how many multiples of 7 are there in Q?	Pick:	A) 23	B) 24	C) 25	D) 26	E) 27

Solution: Halfway between the multiples of 14, there will be another multiple of 7.   The total number of multiples of 7 is  13+12= 
 13+12 = 25
25.   The answer is 25.
Answer: C
A and B start a business with Rs.6500 and Rs.8500 respectively. Hoe should they share their profits at the end of one year?  Choose the correct choice from the following options.
A) 3:5 B) 3:4 C) 3:1 D) 3:2 E) 13:17

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by A and B =   6500 : 8500 => 13:17   Answer:13:17
Answer: E
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?  Options.
A) 27 seconds  B) 29 seconds  C) 40 seconds  D) 11 seconds  E) 12 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer:40 seconds
Answer: C
If A^4 + B^4 = 100, then the greatest possible value of B is between	Select:	A) 0 and 1	B) 1 and 2	C) 2 and 3	D) 3 and 4	E) 4 and 5

Solution: for the greatest possible value of B^4, we must minimize the value of B^4 i.e. lets say A^4 = 0   then we need to find a number B such that B^4 < 100. 3^4 = 81 and 4^4 = 256 so we can say that the maximum possible value of B can be a little more than 3 hence answer = between 3 and 4   hence 3 and 4
Answer: D
Set A contains all the even numbers between 4 and 50 inclusive. Set B contains all the even numbers between 104 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 from the following choices.
A) 2400 B) 2550 C) 5050 D) 6275 E) 11325

Solution: Set A contains 4 , 6 ... 50   Set B contains 104 , 106 ... 150   Number of terms in each set = 24   Difference between corresponding terms in set 2400 and B = 100   Difference between Sum of set B and set 2400 = 100*24= 
100*24 = 2_400
2400   2400nswer 2400
Answer: A
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?  Pick:	A) 9	B) 8	C) 7	D) 6	E) 3

Solution: 1 to 9 = 9 * 9= 
9 * 9 = 81
81   1 to 5= 5 * 10= 
5 * 10 = 50
50   5 to 9= 5 * 8= 
5 * 8 = 40
40   5th= 50 + 40= 
50 + 40 = 90
90 – 81= 9   9nswer: 9
Answer: A
A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same s the cost price of 1 kg of sugar. What is his gain percent?  Choose the correct choice from the following choices
A) 5(5/19) B) 5(1/5) C) 5 D) 4(1/19) E) None

Solution: Solution: Sell sugar = 950g instead of 1000g.   Profit in Sugar = 1000 - 950= 
1000 - 950 = 50
50g.   Now, % profit= (50*100)/950 = 5(5/19)%.   Short-Cut   % profit = (Goods left/Goods sold)*100.   = (50/950)*100 = 5(5/19)%.   5(5/19)nswer: Option 5(5/19)
Answer: A
A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 15 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?  Pick one
A) 28%  B) 32%  C) 36%  D) 40%  E) 44%

Solution: Let x be the number of stamps in the original collection.   The percentage of the collection given away is:   0.2x + 0.15(0.8x) = 0.2x + 0.12x = 0.32x 0.2  + 0.12= 
0.2  + 0.12 = 0.32
0.32x= 32%   The answer is 32%.
Answer: B
The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?  Pick
A) 33 B) 18 C) 21 D) 12 E) 19

Solution: Present age of total members = 6 X 40 = 240   7 yrs back their ages were = 6 x 7 = 42   Ages at the birth of youngest member = 240 - 42= 
240 - 42 = 198
198   Therefore, avg age at the birth of youngest member= 198/6= 
198/6 = 33
33.   33NSWER:33
Answer: A
If the sum of two numbers is 16 and the sum of their squares is 200, then the product of the numbers is  Answers:
A) 40  B) 44  C) 80  D) 88  E) 28

Solution: according to the given conditions x+y = 16   and x^2+y^2 = 200   now (x+y)^2 = x^2+y^2+2xy   so 16^2 = 200+ 2xy   so xy = 56/2= 
56/2 = 28
28   ANSW28R:28
Answer: E
If x is an integer, which of the following is a possible value of H=(x^2 +2x – 7)/9?	Choose the most appropriate option.
A) -2.4  B) 0.268  C) 1.166 repeating  D) 4.555 repeating  E) 8.125

Solution: x is an integer, which of the following is a possible value of H=(x^2 +2x – 7)/9?   Used process of elimination   A. -2.4   when this is multiplied by 9, x is not an integer   B. 0.268   when this is multiplied by 9, x is not an integer   C. 1.166 repeating   when this is multiplied by 9, x is not an integer   D. 4.555 repeating   E. 8.125   when this is multiplied by 9, x is not an integer   Answer choice 4.555 repeating seems to fit
Answer: D
A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? Select the correct option
A) 10 B) 20 C) 88 D) 77 E) 14

Solution: 1: 2/5 = 5: 2   2/7 * 35= 
2/7 * 35 = 10
10   10nswer: 10
Answer: A
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 12 AM, what will be the time at the end of 10 days?  Choose the most appropriate option
A) 12:54:40 AM  B) 12:56:24 AM  C) 01:16:40 PM  D) 12:54:24 AM  E) 01:06:36 PM

Solution: Loses 8 minutes each day.   so total loss = 4×8 = 32min   subsequent 6 days = 6×24×60 minutes   1% gain = ( 6×24×60)/100 = 86.4 minutes   so, total gain = 86.4 - 32= 
86.4 - 32 = 54.4
54.4 min= 54 + 0.4 min = 54 minutes + 0.4 × 60 seconds = 54min + 24seconds   10 days later the clock should be 54 min and 24seconds fast.   so time , 12:54:24 am (Answer 12:54:24 AM)
Answer: D
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet? (43,560 square feet = 1 acre)
Pick.
A) $5,330
B) $3,360
C) $450
D) $360
E) $150

Solution: Basically the question an error. 1 acre = 43,560 square feet and if it is then the answer is 450($450)
Answer: C
One week, a certain truck rental lot had a total of 26 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 14 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week? Choose the correct choice from the following:  A) 18  B) 16  C) 12  D) 24  E) 4

Solution: N - Not rented trucks; R - Rented trucks   N + R = 26   N + R/2 = 14   R = 24   24
Answer: D
By selling an article for $225 a person gains $75. What is the gain %?	Choose the most appropriate option.
A) 25%  B) 30%  C) 50%  D) 20%  E) 10%

Solution: S.P. = $225   Gain = $75   C.P. = 225-75= 
225-75 = 150
150   Gain%= 75/150 * 100= 
75/150 * 100 = 50
50%   Answer is 50%
Answer: C
Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 49, what is the measure of side XY?
Choose the correct choice from the following answers:
A) 4	B) 4√2	C) 14	D) 8√2	E) Cannot be determined from the information provided

Solution: ans C ..14..   xy being larger means it is the hyp..   area =(1/2)*(yz)^2=4 or yz=7*\sqrt{2}..   therefore hyp=xy=14
Answer: C
The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 100 cans of this brand of soda purchased in 24-can cases? Choose the correct choice from the following answers.
A) $16.32  B) $18.00  C) $21.60  D) $34  E) $28.80

Solution: The discounted price of one can of soda is (0.85)($0.40), or $0.34. Therefore, the price of 72 cans of soda at the discounted price would be (100)($0.34)= 34   Answer: $34.
Answer: D
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many T applicants majored in political science and had a GPA higher than 3.0?
Choose the correct choice from the following answers
A) 5	B) 10	C) 15	D) 25	E) 35

Solution: Total applicants = 40   Political science = 15 and Non political science = 40 - 15= 
40 - 15 = 25
25   GP5 > 3.0= 20 and GP5 <= 3.0 = 20   10 Non political science students had GP5 <= 3.0 --> 15 Non political science students had GP5 > 3.0   GP5 > 3.0 in political science = Total - (GP5 > 3.0 in non political science) T= 20 - 15= 
20 - 15 = 5
5   5nswer: 5
Answer: A
How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
Choose one:
A) 98.74 inches
B) 78.74 inches
C) 88.74 inches
D) 58.74 inches
E) 48.74 inches

Solution: One inch is the same as 25.4 mm. Let x inches be the same as 1000 mm   x = 1 inch * 2000 mm / 25.4 mm = 78.74 inches   correct answer 78.74 inches
Answer: B
If it takes a machine 3⁄5 minute to produce one item, how many items will it produce in 2 hours?  Choose the correct choice from the following answers:  A) 1⁄3  B) 4⁄3  C) 80  D) 200  E) 180

Solution: 1 item takes 3/5 min so it takes 120 min to produce x   3x/5=120 the x=200   Answer:200
Answer: D
When the positive integer r is divided by 11, the quotient is s and the remainder 3. When r is divided by 19, the remainder is also 3. What is the remainder when s is divided by 19?  Options:
A) 4  B) 3  C) 2  D) 1  E) 0

Solution: Any Number which when divided by divisor d1,d2, etc. leaving same remainderrtakes the form ofK+r   where k = LCM (d1,d2)   In this case the divisors are 1119 and remainder is 3.   so LCM (11,19) = 209   So N= 209+3= 
209+3 = 212
212   Also r=d1q+3 ; which means d1q=209d1=11 therefore q=19   And ( s divided by 19)19/19 leaves remainder 0.   Answer is 0
Answer: E
A word is defined as a sequence of five dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
Options
A) 124	B) 150	C) 212	D) 243	E) 316

Solution: 3^5 = 243   The answer is 243.
Answer: D
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?	Pick.
A) 297m	B) 276m	C) 267m	D) 180m	E) 287m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer: 276m
Answer: B
Based on this year's costs, a company budgets P dollars for hiring N new employees next year. If the average cost of hiring each employee were to decrease 20% from this year's cost, then the greatest number of employees could hire next year using P dollars would be:  Pick one
A) Equal to N	B) 25% greater than N	C) 20% greater than N	D) 25% less than N	E) 20% less than N

Solution: Correct answer is (B).   This year, the price of an employee is price1=P/N.   If this price decreases by 20% it becomes Price2=P/N*0.8   Then with P dollars, you can hire P/Price2 employees i.e. P/(P/N*0.8) i.e. N/1.1 i.e. 1.25*N   Which is 25% greater than N.
Answer: B
There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number? Select.
A) 31
B) 24
C) 29
D) 25
E) 21

Solution: The total of 15 numbers = 15X11 = 165   The total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140   So, the middle number is  (165 - 140 )= 
 (165 - 140 ) = 25
25   25
Answer: D
(X^n - A^n) is completely divisible by (X - A), when
Choose the correct choice from the following:
A) n is any natural number  B) n is an even natural number  C) n is an odd natural number  D) n is prime  E) none of these

Solution: For every natural number n, (X^n - n is any natural number^n) is always divisible by (X - n is any natural number)   n is any natural numbernswer n is any natural number.
Answer: A
The average age of a group of n people is 15 years old. One more person aged 35 joins the group and the new average is 17 years old. What is the value of n? Choose the correct choice from the following
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: 15n + 35 = 17(n+1)   2n = 18   n = 9   The answer is 9.
Answer: B
Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-4# = 2, what is the value of #4#?  Choose the correct choice from the following:
A) -4
B) 0
C) -2
D) -3
E) -4

Solution: #p# = ap^3 + bp - 1   #-4# = 2   putting p = -4 in above equation   -64a -(4b +1) = 2 or   #-4# = (64a+4b+1) = -2   therefore 64a+4b = -3 .....(1   now putting p = 4   #4# = 64 a+4b - 1   using equation 1(64a+4b = -3)   #4# = -3-1 = -4   hence -4
Answer: A
A, B and C invested Rs.6600, Rs.4400 and Rs.11000 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?  Choose the correct choice from the following answers: A) Rs.3300 B) Rs.3100 C) Rs.3500 D) Rs.4200 E) Rs.3400

Solution: 6600:4400:11000   3:2:5   3/10 * 11000   = Rs.3300   Rs.3300nswerRs.3300
Answer: A
In an election between two candidates, 20% of votes are were declares invalid. First candidate got 480 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:  Pick one.
A) 2000 votes
B) 2500 votes
C) 3000 votes
D) 4000 votes
E) 4200 votes

Solution: Answer: Option 'B'   (100%-20%=80%   48%-32%=16%   16%  48 -32= 
 48 -32 = 16
16%   16%= 16×30 = 480   100% =100×30 =3000 votes)   3000 votes
Answer: C
A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choose the correct answer:	A) s.550	B) s.556	C) s.656	D) s.750	E) s.820

Solution: Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.400   (P)(8)(5)/100 = 400   P = 4000   C.I on Rs.2P i.e., Rs.8000 at 5% p.a in two years   =8000{ [1 + 5/100]^2 - 1}   = 8000(41/400)   = Rs. 820   Answer:s.820
Answer: E
A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Choose the correct answer:
A) 20 seconds
B) 30 seconds
C) 40 seconds
D) 48 seconds
E) None of these

Solution: Explanation:   Speed = 45 Km/hr = 45*(5/18) m/sec   = 25/2 m/sec   Total distance = 460+140= 
460+140 = 600
600 meter   Time= 48 secondsistance/speed   =600∗2/25=48seconds   Option 48 seconds
Answer: D
The number 133 is equal to the sum of the cubes of two integers. What is the product of those integers? Pick one:
A) 8 B) 15 C) 21 D) 27 E) 10

Solution: 2^3 + 5^3= 133 the number is 2*5= 
2*5 = 10
10   10
Answer: E
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choose the correct choice from the following answers: A) 3630 B) 2890 C) 2707 D) 2700 E) 2772

Solution: 6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630nswer:3630
Answer: A
How many 1 1/4 foot pieces of cable can be cut out of a piece that is 30 feet long?
Select the correct option
A) a.10
B) b.16
C) c.17
D) d.24
E) e. 20

Solution: Pretty Simple..the answer is choice (D) 24.   All that one has to do is :   1: Convert 1 1/4 into an improper fraction (5/4) or a decimal (1.25)   2: d.24ivide 30 by 5/4 (or 1.25)   Answer =24 (d.24)
Answer: D
In how many ways can 4 black and 5 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct. Choose the correct choice from the following answers:  A) 20  B) 1440  C) 120  D) 2880  E) 720

Solution: 4 black chess pieces can be arranged in 4! ways and 5 white pieces can be arranged in 5 ! ways.   W_W_W_W   Number of ways = 4!*5! = 24 * 120= 
24 * 120 = 2_880
2880   Answer 2880
Answer: D
If an integer x is to be selected at random from 1 to 200, inclusive, what is probability x(x+1) will be divisible by 4?
Pick:  A) 0.5  B) 1  C) 0.25  D) 0.75  E) 1.25

Solution: because x(x+1) is always an even product of even*odd or odd*even factors,   there is a probability of 1 that that it will be divisible by 2,   and, thus, a probability of 1/2 that it will be divisible by 4   1*1/2=1/2= 
1/2 = 1/2 = around 0.5
0.5   0.5nswer : 0.5
Answer: A
To be undaunted is to be impervious, undisturbed and ‘fearless’.
Choose the correct choice from the following choices.
A) 2 B) HH C) 28 D) 28J E) 9J

Solution: Answer:28J
Answer: D
In a company, 50 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?	Pick one
A) 85%	B) 80%	C) 75%	D) 70%	E) 65%

Solution: The percent of employees who are unionized and men is 0.7*0.6 = 42%   The percent of employees who are unionized and women is 60 - 42= 
60 - 42 = 18
18%   50% of all employees are women, so non-union women are 50%-18% = 32%   40% of all employees are non-union.   The percent of non-union employees who are women is 32%/40%  50 -18= 
 50 -18 = 32
32%   40% of all employees are non-union.   The percent of non-union employees who are women is 32%/40%= 80%   The answer is 80%.
Answer: B
The average salary of all the workers in a workshop is Rs. 9000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?  Options:  A) A)23  B) B)21  C) C)52  D) D)56  E) E)14

Solution: Let the total number of workers be x. Then,   9000x = (12000 * 7) + 6000(x - 7)   => 3000x = 42000   = x =14.   Answer:14
Answer: E
a right triangle has three sides (F, G, H). If F=5, G=8.66, and H=10, which angle is 90 degrees  Select:	A) FG	B) HG	C) HF	D) n/a	E) n/a

Solution: A) the angle FG is a right angle. HF, and HG are acute.
Answer: A
A positive number x is multiplied by 5, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ? Pick:
A) 9/4  B) 3/2  C) 4/3  D) 5/3  E) 1/2

Solution: sq rt(5x/3) = x   => 5x/3 = x^2   => x = 5/3   Ans - 5/3
Answer: D
Students in Class I and II of a school are in the ratio of 3 : 5. Had 15 students leave the school from each class, the ratio would have become 1 : 2. How many total students were there in the beginning?  Pick one:
A) 120 B) 64 C) 96 D) 80 E) None

Solution: class 1 have 3x student and class 2 have 5x student.   3x-15/5x-15=1/2,6x-30=5x-15,x=15   45+75= 
45+75 = 120
120 student   answer 120
Answer: A
The maximum number of students among them 848 pens and 630 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Answers:  A) 10  B) 4  C) 2  D) 14  E) 16

Solution: number of pens = 848   number of pencils = 630   Required number of students = H.C.F. of 848 and 630 = 2   Answer is 2
Answer: C
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$390 per month. The salary of the new supervisor is:	Select the correct option
A) 233  B) 600  C) 510  D) 771  E) 191

Solution: Explanation:   Total salary of 8 workers and supervisor together = 9 Ã— 430 = 3870   Now total salary of 8 workers = 3870 âˆ’ 870 = 3000   Total salary of 9 workers including the new supervisor = 9 Ã— 390 = 3510   Salary of the new supervisor = 3510 âˆ’ 3000 = 510   Answer: 510
Answer: C
How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr? Select the correct option:
A) 22  B) 38  C) 37  D) 56  E) 28

Solution: Answer: 56) 56 sec
Answer: D