MU-NLPC/Calc-aqua_rat huggingface dataset:
Product of two natural numbers is 3. Then, the sum of reciprocals of their squares is Choose the correct choice from the following choices:
A) 10/9 B) 1/289 C) 290/90 D) 290/19 E) None of these

Solution: Explanation:   If the numbers are a, b, then ab = 3,   as 3 is a prime number, so a = 1, b = 3.   1/a2+1/b2=1/1(2)+1/3(2)   1/ 2+1/ 2= 
1/ 2+1/ 2 = 1
1/1(2)+1/3(2)=10/9   Option 10/9
Answer: A
Four hundred multiples of seven are chosen at random, and 100 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?  Choose the correct choice from the following:
A) 20% B) 25% C) 40% D) 50% E) 80%

Solution: About half the multiples of seven will be odd while all the multiples of eight are even.   The percentage of odd numbers is about (1/2)(400) / 500 = 40%   The answer is 40%.
Answer: C
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.35 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?  Pick one
A) Rs.950
B) Rs.1500
C) Rs.1000
D) Rs.1400
E) None of these

Solution: Explanation:   SP of 1 metre cloth = 8200/40 = Rs.205.   CP of 1 metre cloth = Rs.205 – 35 = Rs.170   CP on 40 metres = 170 x 40 = Rs.6800   Profit earned on 40 metres cloth = Rs.8200 – Rs.6800 = Rs.1400.   Answer: Option Rs.1400
Answer: D
How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 1? Select.
A) 5  B) 305  C) 365  D) 405  E) 495

Solution: 510, 512, 514, 516, and 518, so total 5. Hence Option 5.
Answer: A
Ramu was facing East. He walked 4 km forward and then after turning to his right walked 6
km. Again he turned to his right and walked 7 km. After this he turned back. Which direction
was he facing at the time? Choices.
A) East  B) North  C) South  D) West  E) none

Solution: First he is in east direction...n then he moved forward 4km, and then he turned to right means he is now in south direction n he moved forwrd 6km towards south n again he turned right ... Here now he is in west direction...in question they mention what his position facing towards when he turned back.... He is now in east   EastNSWER:East
Answer: A
If $6000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?	Choose the most appropriate option:	A) 6000 (1.056)(3)	B) 6000 (3+1.056)	C) 6000 (1+3(0.056))	D) 6000 (1+(0.056)^3)	E) 6000 (1.056)^3

Solution: the formula is CI=P(1+r/100)^t   in this case i think 6000 (1.056)^3 is the ans 6000 (1.056)^3
Answer: E
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? Select.
A) Rs.250 B) Rs.229 C) Rs.220 D) Rs.127 E) Rs.221

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   Rs.250nswer: Rs.250
Answer: A
If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?  Choose the correct choice from the following answers.
A) 3388	B) 1000	C) 2799	D) 2787	E) 9771

Solution: 6 * 5 * 4 = 60/100 * 50/100 * 40/100 * x   1 = 1/10 * 1/10 * 1/10 * x => x = 1000   Answer: 1000
Answer: B
A company has 15 managers and 75 associates. The 15 managers have an average salary of $180,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?	Choose the most appropriate option.
A) $35,000	B) $45,000	C) $55,000	D) $65,000	E) $75,000

Solution: Another method is to get ratios   Say 30000=a and   We know the # of people are in 1:5 ratio   Average=(6a*1+a*5)/6= 11a/6=55000   Answer is C. $55,000
Answer: C
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
15 * 17 * 19 =?
Select.
A) 89 B) 49 C) 68 D) 38 E) 338

Solution: 338   338   (19 * 17) + 15= 
(19 * 17) + 15 = 338
338
Answer: E
Find the highest value of 'a' so that 36500a is divisible by 8. Select the correct option.
A) 9  B) 8  C) 0  D) 2  E) 1

Solution: Explanation:   Given, number is divisible by 8 only if 'a' is divisible by 8 or is 0.   .: Highest value of a is '8'.   Answer: Option 8
Answer: B
A certain number of men can do a work in 60days. If there were 8 men less it could be finished in 10days more. How many men are there?	Choose the correct choice from the following choices:
A) 56
B) 42
C) 60
D) 45
E) 36

Solution: The original number of men = 8(60+10)/10 = 56men   56nswer is 56
Answer: A
If a and b are odd integers, which of the following is an even integer? Choose the correct choice from the following choices: A) 2(a-b)+ab B) 2(a-b)+a C) 2(a-b)+b D) 2(a-b)+ab+a E) 2(a-b)+4a+b

Solution: 2(a-b)+ab+a=even+odd+odd=even   The answer is 2(a-b)+ab+a.
Answer: D
Two taps can separately fill a cistern 8 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choose the correct choice from the following.
A) 7
B) 8
C) 6.5
D) 9
E) 5

Solution: 1/8 + 1/12 - 1/x = 1/18   x = 72/11 = 6.5   Answer: 6.5
Answer: C
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)  Pick:	A) 1/4	B) 1/7	C) 1/9	D) 1/11	E) 1/13

Solution: Here, E and F are events   P(E|F) = P(EnF)/P(F) = 0.4/0.4= 
0.4/0.4 = 1
1   P(F|E)= P(EnF)/P(E) = 0.4/0.16 = 1/4.   1/4)
Answer: A
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? Options.
A) 6727  B) 6887  C) 6728  D) 6725  E) 2871

Solution: :   CP = SP * (100/(100 + profit%))   = 8339(100/124) = Rs. 6725.   Answer: 6725
Answer: D
An investment W gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Options:
A) $9,360	B) $9,100	C) $8,250	D) $7,300	E) $7,150

Solution: Answer is D : 7,300   An investment W gained an interest payment of $250 each month when the annual interest rate was 8%,Interest per annum with 8% interest rate is = 250* 12 = Principal * Interest Rate(8/100)   This gives Principal as 37,500$   For an revised interest of 12% more and new interest rate of 7.5% , ie. 250* 12 * 1.12 = Principal * Interest Rate (7.5/100)   This gives the new Principal as 44,800.   The question is how much more should we invest, so 44,800 - 37,500 = 7,300.$7,300
Answer: D
A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ? Choose the correct choice from the following answers
A) 8.98	B) 7.98	C) 6.98	D) 4.98	E) 2.98

Solution: Explanation:   Total quantity of petrol consumed in 3 years = liters   = liters   = liters   Total amount spent = Rs. (3 x 4000) = Rs. 12000.   Average cost = Rs. = Rs. 7.98.   Answer: 7.98
Answer: B
Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal.	Choose the correct choice from the following answers:  A) 120  B) 360  C) 480  D) 560  E) 750

Solution: P=100×SI/RT=100×360/12×4   =100×30/4   =25×30   =750   Option 750
Answer: E
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was	Choose the correct choice from the following answers.
A) 5 days	B) 6 days	C) 7 days	D) 9 days	E) 8 days

Solution: does the job in 40 days = 1/40   A & B together completes the job = ?   After A leaves, B completes the remaining job in 23 days.   i.e B's part of job in 23days = 23/40   Remaining part 17/40 is done by A & B together in x no.of days.   i.e (x/45) + (x/40) = 17/40   => x = 9 days   ANSWER:9 days
Answer: D
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Options
A) 1: 5 B) 1: 0 C) 1: 9 D) 1: 4 E) 1: 2

Solution: r1: r2 = 1: 3   Πr12: Πr22   r12: r22 = 1: 9   Answer: 1: 9
Answer: C
A group of four girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three girls will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?	Choose the correct choice from the following:	A) 7! – 2!3!2!	B) 7! – 4!3!	C) 7 × 2!3!2!	D) 2!3!2!	E) 7! – 5!3!

Solution: There are 3 boys and 4 girls , we want to calculate the seating arrangements if three boys do not sit together, like MMM.   Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the question.   1. Total # of arrangements of 7 is 7!.   2. # of arrangements when 3 girls are seated together, like GGG;   Among themselves these 3 boys can sit in 3! # of ways,   Now consider these 3 boys as one unit like this {GGG}. We'll have total of 5 units: {GGG}{G}{B}{B}{B}. The # of arrangements of these 5 units is 5!.   Hence total # of arrangements when 3 men sit together is: 3!5!.   # of arrangements when 3 boys do not sit together would be: 7!-3!5!.   Answer: 7! – 5!3!.
Answer: E
Jose is uploading a file to the internet for a college project. The file weighs 160 megabytes. If Jose's internet speed for uploading tops 8 megabytes per minute, how long will it take until the upload is completed? Choose the most appropriate option
A) 1 hour	B) 45 minutes	C) 20 minutes	D) 5 minutes	E) 1 hour and 10 minutes

Solution: Answer is (C). Jose calculates that if the files weighs 160 megabytes, and his internet uploads at 8 megabytes per minute, it would take 20 minutes to upload as 160 divided by 8 megabytes per minute equals 20.
Answer: C
If c is 14% of a and 40% of b, what percent of a is b? Options
A) 2.5%  B) 15%  C) 25%  D) 35%  E) 250%

Solution: Answer = 35%   14a/100 = 40b/100   b = 14a/40 = 35a/100 = 35%
Answer: D
Using all the letters of the word "TEN", how many words can be formed, which begin with N and end with A?
Choose the correct choice from the following answers.
A) 1 B) 6 C) 8 D) 9 E) 2

Solution: There are five letters in the given word.   Consider 3 blanks ....   The first blank and last blank must be filled with T and N all the remaining three blanks can be filled with the remaining 1 letters in 1! ways.   The number of words = 1! = 1.   1nswer: 1
Answer: A
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 3 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?  Pick:  A) 5 : 1  B) 10 : 5  C) 15 : 2  D) 20 : 2  E) 25 : 2

Solution: U/I = 5/3   I/B = 5/1   Since I is multiple of both 2 (as per first ratio) and 5 (as per second ratio) so let's assume that I = 10   i.e. Multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator   then, U : I : B = 25 : 15 : 2   i.e. U : B = 25 : 2   Answer: Option 25 : 2
Answer: E
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?	Choose the correct choice from the following choices.
A) 40 B) 42 C) 45 D) 46 E) 49

Solution: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).   In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.   i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0   or −27+36+21+12=k−27+36+21+12=k   or k=k= 42   42
Answer: B
A city had 800 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 2 years. If there were 800 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2006 to 2008?
Choose the most appropriate option:
A) 2800  B) 4400  C) 5400  D) 6400  E) 8800

Solution: The population will increase in the following order:   2000: 800   2002: 1600   2004: 3200   2006: 6400   2008: 12800   6400ifference between 2006 and 2008 = 6400   Option 6400
Answer: D
On a map, 3 centimeters represents 33 kilometers. Two cities 209 kilometers apart would be separated on the map by how many centimeters? Select
A) 19 B) 7 C) 13 D) 110 E) 180

Solution: 1 centimeter represents 11 kilometers ( 33/3 )   X=209/11= 
209/11 = 19
19   19nswer: 19
Answer: A
The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result.
Choose the correct option:
A) 57	B) 48	C) 36	D) 78	E) 52

Solution: Clearly 13th result=(sum of 25 results)-(sum of 24 results)   =(18*25)-(14*12)+(17*12)   =450-(168+204)   =450-372= 
450-372 = 78
78.   Ans: 78
Answer: D
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10 years is:  Choose the correct choice from the following answers: A) 111 × 1827 miles B) 999× 1238 miles C) 346 × 1012 miles D) 247 × 1012 miles E) 587 × 10^11 miles

Solution: The distance of the light travels in 10 years is:   5,870,000,000,000 × 10 miles.   = 58,700,000,000,000 miles.   = 587 × 10^11 miles.   Answer :587 × 10^11 miles
Answer: E
A 20% stock yielding 10% is quoted at : Select the correct option:	A) 83.33	B) 110	C) 200	D) 120	E) 160

Solution: Solution   To earn Rs. 10, money invested = Rs. 100.   To earn Rs. 20, money invested = Rs.(100/10X20) = Rs. 200.   âˆ´ Market value of Rs. 100 stock =Rs. 200   Answer 200
Answer: C
The rate of inflation was 1000%. Then what will be the cost of an article, which costs 6 units of currency now, 2 years from now? Choose one.
A) 666
B) 626
C) 547
D) 726
E) None of these

Solution: Explanation :   Let x be initial cost .   1000 % increase => x + (1000/100)x = 11x.   1st yr = 6 * 11= 
6 * 11 = 66
66   2nd year= 66 * 11= 
66 * 11 = 726
726.   Answer : 726
Answer: D
What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 130° each? Choose one:
A) 108 cm
B) 118 cm
C) 120 cm
D) 132 cm
E) 144 cm

Solution: Sum of all interior angles is given by:   180(n-2) = n is number of sides   180(n-2) = 130*n   from here   n = 7.2   So perimeter becomes 15*7.2= 
15*7.2 = 108
108   108 cmnswer: 108 cm
Answer: A
23, 29, 31, 37, 41, 43, 47, 53, 59, 61, (...)	Choose one.
A) 53
B) 67
C) 48
D) 59
E) 45

Solution: Explanation :   All are prime numbers in their order, starting from 23   Hence, next number is 67   Answer : 67
Answer: B
Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 20% more than Charlie. Charlie weighs 160% of Mary's weight. Which of these 5 people weighs the highest?
Choose the correct choice from the following.
A) Mary  B) Mike  C) Michelle  D) Alan  E) Charlie

Solution: Mary < Michelle < Mike   Charlie < Alan   Let x be Mary's weight.   Mike's weight is 2x and Alan's weight is   1.2*1.6= 
  1.2*1.6 = 1.92
1.92x.   The answer is Mike.
Answer: B
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 11 kmph?	Choose one.
A) 21.23  B) 52.85  C) 23.26  D) 41.67  E) 25.15

Solution: distance covered in 1 min=(66*1000)/60=183.33cm   circumference of the wheel=(2*(22/7)*.70)= 
(2*(22/7)*.70) = 4.4
4.4m   no of revolution per min=183.33/4.4=41.67   ANSWER:41.67
Answer: D
Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of nine years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a. Choose the correct option.
A) 6%
B) 9%
C) 12.5%
D) Cannot be determined
E) None of these

Solution: Let the sum be Rs.P. Let the rate of interest be R% p.a.   (P)(9)(R)/100 = [1 + 6/100][ (P)(5)(R) /100] = 1.6{5PR/100]   9PR/100 = 9PR/100 which is anyway true.   R cannot be found.   ANSWER:Cannot be determined
Answer: D
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?  Choose the correct option:
A) 50
B) 88
C) 77
D) 66
E) 45

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 46 - 36= 
46 - 36 = 10
10 km/hr.= 10 * 5/18 = 25/9 m/sec.   2x/36 = 25/9 => x = 50.   50nswer: 50
Answer: A
Which of the following is closer to √0.8+√0.1? Choose the correct choice from the following options:
A) 0.5	B) 0.7	C) 0.9	D) 1.1	E) 1.2

Solution: √0.8+√0.1=approximately √0.81+√0.09=0.9+0.30.81+ 0.09= 
0.81+ 0.09 = 0.9
0.9+0.3=1.2. Hence, the correct answer is 1.2.
Answer: E
In an office, 60 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service? Options:  A) 96  B) 64  C) 50  D) 144  E) 160

Solution: (10/100)Workers = 16 = > number of workers = 160   (60/100)*Workers = x+16 = > x = 96   96nswer 96
Answer: A
The list price of a watch is 160. A retailer bought the same watch 122.40. He got two successive discounts one at 10% and the other at a rate which was not legible. What is the second discount rate?  Choose one:
A) 12%  B) 14%  C) 15%  D) 18%  E) None of these

Solution: Retailer price = list price (1−d1/100)(1−d2/100)   ⇒ 122.40 = 160(1−10/100)(1−d2/100)   ⇒ 1−d2/100=122.40×100/160×90=0.85   ⇒ d2 = (1 - 0.85) × 100 = 15%   Answer 15%
Answer: C
Angela, Bernie, and Colleen can complete a job, all working together, in 4 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?
Choose one:
A) 8 hours B) 10 hours C) 12 hours D) 16 hours E) 24 hours

Solution: A+B+C complete the job in 4 hours.   A+B complete the job in 6 hours.   A+B and C complete the job in 4 hours -->1/(A+B) + 1/C = 1/4-->1/6+1/C=1/4 ----> C=24 hours. ANS 24 hours
Answer: E
If the price of an item is decreased by 20% and then increased by 20%, the net effect on the price of the item is Choose the correct choice from the following answers.
A) A decrease of 4% B) No change C) A decrease of 1% D) A increase of 1% E) none

Solution: initially assume 100 rupees   20% discount in 100 gives price of 80 rupees   then 20% raise in 80 is only 16 rupees.   therefore total price =96 rupees.   hence 4% is the loss   A decrease of 4%NSWER:A decrease of 4%
Answer: A
If log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is:  Choose the correct choice from the following options:  A) 0.6532  B) 0.7727  C) 0.3266  D) 0.3796  E) none of these

Solution: log 3 + log 3 = log (3*3) ->log 9 = 0.4771 + 0.4771= 
0.4771 + 0.4771 = 0.9542
0.9542   now   log 9 - log 2= log (9/2)= 
(9/2) = 9/2 = around 4.5
log 4.5   -> log 4.5= 0.9542 - 0.3010= 
0.9542 - 0.3010 = 0.6532
0.6532   0.6532NSWER:0.6532
Answer: A
The number 155 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choose one:  A) 17  B) 16  C) 15  D) 14  E) 21

Solution: 7^2+5^2+9^2=49+25+81= 
49+25+81 = 155
155   7+5+9= 
7+5+9 = 21
21   Hence answer is 21
Answer: E
A thief steels a car at 6a.m. and drives it at 60kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 90 kmph. When will he overtake the thief? Options
A) 9a.m.
B) 9.30a.m.
C) 10a.m.
D) 11.45a.m.
E) 10.15a.m.

Solution: Suppose the thief overtakes x hours after 6a.m.   Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)   60x = 90(x-1)   30x = 90   x = 3 hrs   Thief is overtaken at 9a.m.   9a.m.nswer is 9a.m.
Answer: A
Find the C.I. on a sum of Rs.1800 for 6 months at 20% per annum, interest being compounded quarterly?  Options.
A) 792  B) 892  C) 8920  D) 802  E) 9920

Solution: 8920.I.= 1800(21/20)^2-1800   = 792   Answer: 8920
Answer: C
For what value of x, is |x – 2| + |x + 5| + |x| = 17?
Choices.
A) 0  B) 3  C) -3  D) 5  E) -5

Solution: For what value of x, is |x – 2| + |x + 5| + |x| = 17?   It's easiest just to plug in answer choices:   (5): 5   |x – 2| + |x + 5| + |x| = 17?   |5 - 3| + |5 + 5| + |5| = 17?   |2| + |10| + |5|   5 - 3  +  5 + 5  +  5= 
  5 - 3  +  5 + 5  +  5 = 17
17?   |2| + |10| + |5| = 17   (5)  2  +  10  +  5= 
  2  +  10  +  5 = 17
17   (5)
Answer: D
There are three guys who have equal number of bullets. All of them shoot 4 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choose the correct choice from the following choices: A) 18 B) 19 C) 20 D) 21 E) 22

Solution: let initially each was having x bullets   they shot 4 bullets   so 3x-12=x   x=6   so each was having 6 bullets.   total was 18.   18NSWER:18
Answer: A
A car was driving at 50 Km/h for 30 minutes, and then at 40 Km/h for another 30 minutes. What was its average speed?
Choose one:
A) 80.
B) 75.
C) 70.
D) 65.
E) 54.

Solution: driving at 50 Km/h for 30 minutes ,distance covered = 50*1/2= 
50*1/2 = 25
25 km   driving at 40 km/h for 30 minutes ,distance covered= 40*1/2= 
40*1/2 = 20
20 km   average speed= total distance/total time = 45/1= 
45/1 = 45
45 km/h   80.nswer : 80.
Answer: A
If after 300 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?  Pick one: A) 180 grams B) 220 grams C) 250 grams D) 350 grams E) 600 grams

Solution: I too think 600 grams should be the answer.   My reasoning is   The h20 content in 300 gms of water is 1   h20 content in 24% solution is 0.76   Resulting new solution's concentration decreases by one third means. Now it becomes 16% solution which means h20 content is 0.84   Let amount of solution be X   Then the equation can be set up   300*1 + 0.76X = 0.84 (X+300)   0.08X = 48   8X = 4800   X = 600 (ans 600 grams)
Answer: E
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:  Choose the correct choice:
A) 98 B) 55 C) 21 D) 23 E) 28

Solution: Explanation:   Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9   = [(11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55]/9   = [(4 * 110) + 55]/9 = 495/9= 
495/9 = 55
55.   Option 55
Answer: B
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1500. What is the gain or loss in percentage?
Choose the correct option:
A) 10% B) 21% C) 26% D) 20% E) None of these

Solution: Explanation:   As selling price is Rs.1500 for 10 bags, each bag is sold at Rs.150.   Hence, the profit is Rs.100 after selling 10 bags plus the selling price of 1 bag = 100 + 150 = Rs.260.   %profit = 260/1000 *100= 
260/1000 *100 = 26
26%   ANSWER 26%
Answer: C
a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9 Choose one:
A) 7
B) 8
C) 9
D) 0
E) 1

Solution: add 34+37=72   now 72divided by 9 so we get 0 as reaminder   ANSWER:0
Answer: D
9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers a re within 1 standard deviation of the mean?  Choices: A) 90% B) 85% C) 80% D) 75% E) 70%

Solution: D. 75% answer is 75%
Answer: D
The average age of 15 men of a group is 18 years. Out of these, the average age of 5 men is 14 years and that of the other 9 men is 16 years. The age of the 15th man is? Choose the correct answer:
A) 11 years B) 17 years C) 56 years D) 14 years E) 12 years

Solution: Age of the 15th student   =[15 * 18 - (14 * 5 + 16 * 9)]   = (270- 214)= 
(270- 214) = 56
56 years.   Answer:56 years
Answer: C