MU-NLPC/Calc-aqua_rat huggingface dataset:
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 4 other contributions made before john's, what is the size of his donation?  Options
A) $100
B) $175
C) $200
D) $250
E) $450

Solution: Cavg = average contribution before John   Cavg*1.5 = 75, therefore the average cont is $50 before John.   If he needs to increase the average contribution by $25, he must put in $25 for each of the 4 people.   so $100.   But, he also has to put in the average for himself (the fiveth person), so add $75.   So $175 is your answer.   Answer $175
Answer: B
If the length of the longest chord of a certain circle is 14, what is the radius of that certain circle?
Choose one.
A) 2.5	B) 5	C) 10	D) 7	E) 9

Solution: Longest chord of a circle is the diameter of the circle   diameter = 2 * radius   If diameter of the circle is given as 14 = 2 * 7   so radius of the circle = 7   correct answer - 7
Answer: D
1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is : Options
A) 62 *2/0 B) 62 *2/3 C) 62 *2/6 D) 62 *2/2 E) 62 *2/1

Solution: Explanation:   Total number of students = 1100 + 700= 
1100 + 700 = 1_800
1800.   Number of students passed= (42% of 1100 + 30% of 700) - (462 + 210) = 672.   Number of failues = 1800-672= 
1800-672 = 1_128
1128.   Percentage failure= (1128/1800 * 100 )% = 62 * 2/3 %.   Answer: 62 *2/3) 62 *2/3
Answer: B
A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, what will be the true time when the clock indicates 10 pm on 4th day?	Choose the correct choice from the following answers:
A) 7 pm B) 8 pm C) 12 pm D) 11 pm E) 10 pm

Solution: Time from 5 am to 10 pm on the 4th day   = 3 days 17 hours   = 3 Ã— 24 + 17   = 89 hours.   Given that clock loses 16 minutes in 24 hours.   => 23 hour 44 minutes of the given clock = 24 hours in a correct clock   23 44/60 hours of the given clock = 24 hours in a correct clock   => 23 11/15 hours of the given clock = 24 hours in a correct clock   => 356/15 hours of the given clock = 24 hours in a correct clock   89 hours of the given clock =24Ã—15/356Ã—89 hours in a correct clock   24Ã—15/4= 6Ã—15= 90 hours in a correct clock.   So the correct time is 90 hours after 5 am   = 3 days 18 hours after 5 am   = 11 pm on the 4th day.   Answer: 11 pm
Answer: D
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?  Choose the correct choice from the following choices:	A) Rs.1529	B) Rs.1510	C) Rs.1500	D) Rs.1329	E) Rs.1181

Solution: Let the cost price of an article be Rs. x.   (19% of x) - (12% of x) = 105   19x/100 - 12x/100 = 105 => 7x = 105 * 100   => x = 1500   Rs.1500ost price = Rs.1500   Answer:Rs.1500
Answer: C
The speed of a train is 90 kmph. What is the distance covered by it in 5 minutes?
Choose the correct choice from the following answers:
A) 7.5
B) 66
C) 77
D) 52
E) 42

Solution: 90 * 5/60= 
90 * 5/60 = 15/2 = around 7.5
7.5 kmph   7.5nswer:7.5
Answer: A
Mangala completes a piece of work in 60 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct choice from the following.
A) 8 days  B) 12 days  C) 14 days  D) 16 days  E) 24 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 60 × 40/100 = 24 days   24 days
Answer: E
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 choice from the following options.
A) 50
B) 88
C) 77
D) 55
E) 23

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
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is? Choose the correct choice from the following answers:
A) 2:3	B) 4:3	C) 6:7	D) 9:16	E) 5:2

Solution: Answer: Option B   Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = âˆšb : âˆša = âˆš16 : âˆš9 = 4:3
Answer: B
How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}  Pick
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: s = 3t.   So, s/3 = t   That means s is divisible by 3.   Only 0, 3, 6, 9 are divisible by 3.   Hence option (4).
Answer: D
The division of a whole number N by 13 gives a quotient of 34 and a remainder of 2. Find N.
Choose the most appropriate option:
A) 797
B) 197
C) 597
D) 412
E) 444

Solution: According to the division process of whole numbers, N can be written, using multiplication, as follows   N = quotient *divisor + remainder = 34* 13 + 2= 
34* 13 + 2 = 444
444 correc answer 444
Answer: E
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/100 that a person who randomly guesses the answer to each question will be a winner? Choices:
A) 5  B) 10  C) 50  D) 100  E) 1000

Solution: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?   A.5   B.10   C.50   D.100   E.1000   Soln: ans is B   Probability that one question is answered right is 1/2.   Now for minimum number of questions needed to take probability less than 1/1000 is   => (1/2)^n < 1/100   n = 50 satisfies this.   50
Answer: C
5000 - 4500 ÷ 10.00 = ?
Answers:
A) 4550	B) 5000	C) 0.5	D) 4000	E) None

Solution: 4550nswer   Given expression =5000 - 4500 ÷ 10.00   = 5000 - 450= 
5000 - 450 = 4_550
4550   Correct Option: 4550
Answer: A
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?  Choose the correct choice from the following:
A) 5/6 B) 5/9 C) 5/3 D) 5/0 E) 5/1

Solution: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.   Thus   6 * 5 * 4= 
  6 * 5 * 4 = 120
120 favourable cases.   The total cases are   6 * 6 * 6= 
  6 * 6 * 6 = 216
216.   The probability= 120/216 = 5/9.   Answer: 5/9
Answer: B
Find the no.of ways of arranging the boy and 6 guests at a circular table so that the boy always sits in a particular seat? Choose the most appropriate option.
A) 3!	B) 6!	C) 7!	D) 9!	E) 11!

Solution: Ans.(B)   Sol. Total number of persons = 7 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 6 places in 6P6 = 6! Ways ... The number of required arrangements = 6! x 1= 6! = 6! ways
Answer: B
one machine 10 hours to complete a production order and another machine 20 hours to complete the same order. How many hours would it take both machines working simultaneously at their respective rates to complete the order?	Choose the correct choice.
A) 12/7hrs
B) 20/3hrs
C) 15/6hrs
D) 8/9hrs
E) 15/2hrs

Solution: Machine A = 10 hours to complete an order   Machine B = 20hours to complete the same order   We're asked how long it would take the two machines, WORKING TOGETHER, to complete the order.   Using the Work Formula: (A)(B)/(A+B).....   (10)(20)/(10+20) = 20/3 hours to complete the job; Answer is 20/3hrs
Answer: B
What is the greatest integer m for which the number 50!/10^m is an integer? Choose the correct choice from the following
A) 5 B) 8 C) 10 D) 11 E) 12

Solution: As for 50!/10^m, the greatest value of m will be obtained by finding the maximum number of 5s in 50!   The quick process for that (discussed in the link above) is   50/5= 
50/5 = 10
10   10/5= 
10/5 = 2
2   Total number of 5s is 12. So maximum value of m will also be 12.   Answer (12)
Answer: E
John makes $30 a week from his job. He earns a raise and now makes $40 a week. What is the % increase? Choose the correct choice from the following
A) 16% B) 16.66% C) 18% D) 21% E) 33.33%

Solution: Increase = (10/30)*100 = 33.33%.   33.33%
Answer: E
If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?  Choose one
A) 3125 B) 625 C) 5 D) 25 E) 125

Solution: 5^ab =5^2 therefore ab=2 either a=1 or 2 or b=2 or 1   therefore 5^a* 5^b = 5^(a+b)= 5^3 =125   125
Answer: E
A motor car starts with a speed of 70km/hr with its speed increasing every 2hours by 10kmph. In how many hours will it cover 345kms?
Pick:
A) 3hours
B) 2hours 30mnts
C) 4hours
D) 4hours 30mnts
E) 5hours

Solution: Distance covered in first 2hours = 70*2= 
70*2 = 140
140km   Distance covered in next 2hours= 80*2= 
80*2 = 160
160km   remaining distance= 345- (140+160)= 
345- (140+160) = 45
45km   speed in the fifth hour= 90km/hr   total time to cover 45km = 45/90 = 1/2 hr   total time taken = 4+(1/2) = 4hours 30minutes.   correct option is 4hours 30mnts
Answer: D
How many positive integers less than 256 are multiple of 4 but NOT multiples of 6?
Choices:
A) 20 B) 31 C) 42 D) 43 E) 64

Solution: From here, it might be easier to go up in bounds of 60, so we know that 61-120 gives 10 more numbers. 121-180 and 181-240 as well. This brings us up to 240 with 40 numbers. A cursory glance at the answer choices should confirm that it must be 42, as all the other choices are very far away. The numbers 244 and 248 will come and complete the list that’s (naughty or nice) under 250. Answer choice 43 is correct here.
Answer: D
A runs 1 ¾ times as fast as B. if A gives B a start of 84 m, bow far must
winning post be so that A and B might reach it at the same time? Pick one.
A) 196 m  B) 194 m  C) 186 m  D) 296 m  E) 106 m

Solution: Ratio of the rates of A and B = 7/4 : 1 = 7 : 4.   So, in a race of 7 m, A gains 3m over B.   :. 3 m are gained by A in a race of 7 m.   :. 84 m are gained by A in a race of (7/3 x 84) m = 196 m.   :. Winning post must be 196 m away from the starting point.   196 mnswer is 196 m.
Answer: A
|x+3| – |4-x| = |7+x| How many solutions will this equation have?
Select the correct option:	A) 0	B) 1	C) 2	D) 3	E) 4

Solution: You have |x+3| - |4-x| = |8+x|   First, look at the three values independently of their absolute value sign, in other words:   |x+3| - |4-x| = |8+x|   (x+3) - (4-x) = (8+x)   Now, you're looking at x < - 8, số x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.   when x=-10   I.) (x+3)   (-10+3)   (-7)   II.) (4-x)   (4-[-10]) (double negative, số ít becomes positive)   (4+10)   (14)   III.) (8+x)   (8+-10)   (-2)   In other words, when x < -8, (x+3) and (8+x) are NEGATIVE. To solve problems like this, we need to check for the sign change.   Here is how I do it step by step.   I.) |x+3| - |4-x| = |8+x|   II.) IGNORE absolute value signs (for now) and find the values of x which make (x+3), (4-x) and (8+x) = to zero as follows:   (x+3)   x=-3   (-3+3)= 
(-3+3) = 0
0   (4-x)   x=4   (4-4)= 
(4-4) = 0
0   (8+x)   x=-8   (8+-8) =1   2
Answer: C
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability W this college graduate has a graduate degree? Select the correct option
A) 1/11  B) 1/12  C) 1/13  D) 3/19  E) 3/43

Solution: In believe the answer is D. Please see below for explanation.   0) we are told the following ratios   CG3/19 - College Graduate with 3/19egree   NCG - Non College Graduate   CGN - College Graduate no 3/19egree   CG3/19 NCG CGN   1 8   3 2   In order to make CG3/19 and CGN comparable we need to find the least common multiple of 8 and 3 and that is 24 multiplying the first ratio by 3 and the second ratio by 8 we get   CG3/19 NCG CGN   3 24 16   If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?   Nr of CG3/19 = 3   Nr of CG = 3+ 16= 
3+ 16 = 19
19   Probability W of CG3/19 / (CG) -> 3/19   Answer 3/19
Answer: D
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 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:
A) 2500 B) 2550 C) 5050 D) 6275 E) 11325

Solution: Set A contains 2,4 , 6 ... 50   Set B contains 102 , 104 , 106 ... 150   Number of terms in each set = 25   Difference between corresponding terms in set 2500 and B = 100   Difference between Sum of set B and set 2500 = 100*25= 
100*25 = 2_500
2500   2500nswer 2500
Answer: A
Aarti can do a piece of work in 8 days. In how many days will she complete three time of work of same type?  Choose the correct choice from the following choices
A) 6 days	B) 19 days	C) 24 days	D) 3 days	E) 13 days

Solution: We have the important relation, More work, More time (days)   A piece of work can be done in 8 days.   Three times of work of same type can be done in 8 x 3   = 24 days   Answer 24 days
Answer: C
There were 9 lottery ticket winners for payout of 4 million dollars. If the all winners get the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Choose one.
A) 4,000,000
B) 4,000,001
C) 4,000,005
D) 4,000,008
E) 4,000,010

Solution: Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 4,000,000 = 4 and 9 is divisible by 9.   Hence, we need to add 5 to this number for it to be divisible by 9   4,000,005orrect Option : 4,000,005
Answer: C
A salesperson receives a base salary of $700 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?	Choose one:
A) $1,500	B) $1,800	C) $2,100	D) $2,500	E) $2,800

Solution: Ans : 700+ 7.5 % * 150 * (210-50) = $ 2500   Answer $2,500
Answer: D
Of the 120 passengers on Flight 750, 30% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Choose the most appropriate option.
A) 44	B) 28	C) 50	D) 52	E) 56

Solution: Number of passengers on flight = 120   Number of female passengers= .3*120= 
.3*120 = 36
36   Number of passengers in first class= (10/100)* 120= 
(10/100)* 120 = 12
12   Number of passengers in coach class= (90/100)* 120= 
(90/100)* 120 = 108
108   Number of male passengers in first class= 1/3 * 12= 
1/3 * 12 = 4
4   Number of female passengers in first class= 12-4= 
12-4 = 8
8   Number of female passengers in coach class= 36 - 8= 
36 - 8 = 28
28   Answer 28
Answer: B
A merchant has selected two items to be placed on sale, one of which currently sells for 35 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Pick:
A) 30%
B) 40%
C) 50%
D) 60%
E) 70%

Solution: Expensive item = $100;   Cheap item = $ 65;   We must increase $65 to $100, so by $35, which is approximately 50% increase: (100-65)/65 = ~0.53.   Answer: 50%.
Answer: C
A pump can fill a tank with water in 5 hours. Because of a leak, it took 10 hours to fill the tank. The leak can drain all the water in ?  Options:
A) 12hr
B) 11hr
C) 13hr
D) 10hr
E) 16hr

Solution: Work done by the leak in 1 hour = 1/5 - 1/10 = 1/10   Leak will empty the tank in 10 hours   Answer is 10hr
Answer: D
College T has 1000 students. Of the 260 students majoring in one or more of the sciences,160 are majoring in Chemistry and 120 are majoring in Biology. If at least 50 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
Choose one:	A) 60 to 110	B) 70 to 130	C) 80 to 130	D) 70 to 120	E) 80 to 120

Solution: Total = Chemistry + Biology - Both + Neither   260 = 160 + 120 - Both + N   We know that N (Neither) must be at least 30, so set N=30 and solve:   260 = 160 + 120 - Both + 50   260 = 330 - Both   Both = 70   Even if you're not sure whether 70 is the highest or lowest Both could possibly be, it doesn't matter, because you know it's a boundary point of the range,   Both can not be greater than 120, because even if every biology major was also a chemistry major, there are only 120 biology majors total. 70 to 120 the solution.
Answer: D
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.3.00 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?	Choose the most appropriate option.
A) s.1014	B) s.1140	C) s.1998	D) s.1085	E) s.1020

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 3.0= 
666 * 3.0 = 1_998
1998   ANSWER:s.1998
Answer: C
Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.	Choose the correct answer:
A) 2.2%
B) 5.9%
C) 4.9%
D) 5.6%
E) 44%

Solution: cost price of 12 toys =375   selling price of12 toys =33×12=396   profit =396−375=21   profit percentage =7*100/125= 
7*100/125 = 28/5 = around 5.6
5.6%   Answer : 5.6%
Answer: D
Of the female students at Barkely University, 3/5 are on the honor roll. Of the male students, 2/5 are on the honor roll. If 5/9 of the students are female, what fraction of all the students are on the honor roll?	Choose the correct choice from the following choices
A) 5/9 B) 3/15 C) 23/45 D) 43/60 E) 53/90

Solution: let the total students be 45   given 5/9 of the students are females = 25   then males = 4/9 = 20   3/5 of the females are on honor roll = 15   males on the honor roll = 2/5= 8   total students on honor roll = 15+8= 
15+8 = 23
23   fraction= 23/45   23/45
Answer: C
Suppose x is the product of all the primes less than or equal to 59. How many primes appear in the set {x + 2, x + 3, x + 4, …, x + 59}?
Select:
A) 0  B) 17  C) 18  D) 23  E) 24

Solution: Since 2 * 3* 5 *... *59 is even, x is even.   As x is even, so will be x+2, x+4, x+6...... x+58, so these numbers cannot be prime.   Now x+3 is nothing but (2*3*... 59) + 3. Rewriting this as {3 * (2 * 5*.... 59)} +3.   One can observe here that the term in the curly brace is a multiple of 3 and that term plus 3 will definitely be a multiple of 3 .   (Multiple of 3 + 3 is a multiple of 3, Multiple of 59 + 59 is a multiple of 59)   As x+3 is a multiple of 3 it cannot be a prime.   Similarly x+5 can be written as {5 * (2 * 3* 7*.... 59)} +5 which is a multiple of 5.   0NSWER:0
Answer: A
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many W eggs does the plant process per day?	Choices.
A) 100  B) 300  C) 400  D) 3,000  E) 4,000

Solution: Straight pluggin in for me. As usual, I started with C and got the answer.   Lets' back calculate and see what we get   Let us consider eggs processed each day to be 400   So Initial ratio of eggs processed and rejected is 96:4 or 24:1   So out of 400 eggs, there will be 384 eggs processed and 16 rejected.   Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there W= 384+12= 
384+12 = 396
396 eggs accepted and 4 rejected...and the ratio will be 99:1   Bingo...this is what the questions says....   Its always a good idea to start with 400.
Answer: C
A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?	Choose the correct choice from the following choices
A) Rs.7500
B) Rs.8000
C) Rs.8500
D) Rs.9000
E) None

Solution: Solution   Let B's capital be Rs.x. Then,	3500×12 ⁄ 7x   =2⁄3   ‹=›14x = 126000   x = 9000.   Answer Rs.9000
Answer: D
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is	Choose the correct choice from the following
A) 3 cm  B) 4 cm  C) 6 cm  D) 8 cm  E) None

Solution: Solution   4ΠR2	= 2Π6x12   ⇒ R2 = (6x12/2)   ⇒ 36   ⇒ R = 6 cm.   Answer 6 cm
Answer: C
If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes? Choose the most appropriate option.
A) 20% loss  B) 25% profit  C) 33.33 % loss  D) 30.33% loss  E) None of these

Solution: Explanation :   Let Cost price of 1 article be Re.1.   Therefore, Cost price of 20 articles = Rs. 20.   Selling price of 16 articles = Rs. 20   Therefore, Selling price of 20 articles is :-   =>20/16×20   =>25.   Therefore, Profit = Selling price - Cost price.   =>25−20=5.   Hence, the percentage of profit = profit x 100/C.P.   =>5/20×100.   =>25% Profit.   Answer : 25% profit
Answer: B
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Choose one
A) 150  B) 200  C) 250  D) 275  E) 285

Solution: 30% ------------ 50   45% ------------ 25   ----------------------   15% ------------- 75   30% -------------- ?     150 + 50= 
  150 + 50 = 200
200 Marks   ANSWER:200
Answer: B
80% of the population of Albany Town lived in the East at the Beginning of the Year 1998 and the rest of the Town lived in the North. During the year 1998, the population of Town Albany grew by 9%. If the population in the East grew by 5.5%, by how much did the population in the North grow?	Pick one.
A) 23%  B) 23.5%  C) 25%  D) 11.25%  E) 19%

Solution: I prefer the weighted average method over dealing with creating and solving the algebraic expression:   Ratio of population in 23%lbany Town = East:North :: 80%:20% = 4:1   Mean growth = 9.0%   East Growth: 5.5%   North Growth = ??   East-------------23%verage--------------North   5.5% __(1n)_____9.0%_____(4n)_____??   Since:   5.5 + 1n = 9   n = 3.5   Therefore:   North = 9 + 4n   North = 9 + 4(3.5) = 23%   The Population increased in the North of the 23%lbany Town is 23% during 1998
Answer: A
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 34 years now, the son's age five years back was  Pick:
A) 20years  B) 18years  C) 16years  D) 14years  E) 12years

Solution: Let the son's present age be x years. Then, (34 - x) = x   2x = 34.   x = 17.   Son's age 5 years back (17 - 5)= 
(17 - 5) = 12
12 years.   12years)
Answer: E
The cost of 6 bags and 8 purses is Rs.1300, what is the cost of 10 bags and 30 purses?  Choose the correct choice from the following:
A) Rs.3600	B) Rs.3500	C) Rs.3800	D) Rs.3250	E) None of these

Solution: Explanation:   Cost of 6 bags + 8 purses = Rs.1300   Multiply each term by 5/2, we get,   Cost of 10 bags + 30 purses = Rs.3250.   Answer: Option Rs.3250
Answer: D