MU-NLPC/Calc-aqua_rat huggingface dataset:
Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings? Choose the most appropriate option
A) Rs.3600 B) Rs.3689 C) Rs.3615 D) Rs.3628 E) Rs.3618

Solution: Let the income and the expenditure of the person be Rs.5x and Rs.4x respectively.   Income, 5x = 18000 => x = 3600   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs.3600.   Rs.3600nswer: Rs.3600
Answer: A
Suppose x is a positive even number, all of whose digits are either 3 or 4. If x is also divisible by both 3 and 4, how many digits are in the smallest possible value of x? Choose the correct choice from the following.
A) Three  B) Four  C) Five  D) Six  E) Seven

Solution: Since the number is positive and even and contains only 3 and 4 as digits, then its numbers digit is 4 and is fixed.   As there are not many possibilities for x, I found the most simple method to just start plug in numbers starting from the first and least value of x, which is answer key A. three   If x would have 3 digits, then we have 4 possibilities (since 4 is always the number digit for an even number):   334: is divisible by 4 but not by 3   344: is divisible by 4 but not by 3   434: is not divisible by 4 nor by 3   444: is divisible by 4 ThreeND by 3 - then CORRECT ThreeNSWER Three
Answer: A
If a Ã— b = 2a - 3b + ab, then 2 Ã— 5 + 5 Ã— 2 is equal to : Choose the correct answer
A) 18  B) 23  C) 24  D) 25  E) 26

Solution: Explanation:   2 Ã— 5 + 5 Ã— 2 = (2 Ã— 2 - 3 Ã— 5 + 2 Ã— 5) + ( 2 Ã— 5 - 3 Ã— 2 + 5 Ã— 3)   = (4 -15 + 10 + 10 - 6 + 15)= 
(4 -15 + 10 + 10 - 6 + 15) = 18
18.   18nswer: 18
Answer: A
what is the least number by which 5,400 must be divided to get a number perfect square Choose the correct choice:
A) 21 B) 42 C) 24 D) 40 E) 45

Solution: 5,400/24=225   225=(15)^2   Ans-24   ANSWER:24
Answer: C
N and M are each 3-digit integers. Each of the numbers 2, 3,4, 6, 7, and 8 is a digit of either N or M. What is the smallest possible positive difference between N and M? Answers
A) 39	B) 49	C) 58	D) 113	E) 131

Solution: You have 6 digits: 2, 3, 4, 6, 7, 8   Each digit needs to be used to make two 3 digit numbers. This means that we will use each of the digits only once and in only one of the numbers. The numbers need to be as close to each other as possible. The numbers cannot be equal so the greater number needs to be as small as possible and the smaller number needs to be as large as possible to be close to each other.   The first digit (hundreds digit) of both numbers should be consecutive integers   Now let's think about the next digit (the tens digit). To minimize the difference between the numbers, the tens digit of the greater number should be as small as possible and the tens digit of the smaller number should be as large as possible . So let's not use 2 and 8 in the hundreds places and reserve them for the tens places . Now what are the options?   Try and make a pair with (3** and 4**). Make the 3** number as large as possible and make the 4** number as small as possible.   387 and 426 (difference is 39) or   Try and make a pair with (6** and 7**). Make the 6** number as large as possible and make the 7** number as small as possible. We get 684 and 723 (difference is 39)   39
Answer: A
Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal. Select the correct option.
A) Rate = 7% and Time = 7 years.
B) Rate = 8% and Time = 8 years.
C) Rate = 6% and Time = 6 years.
D) Rate = 5% and Time = 5 years.
E) None of these

Solution: Explanation:   Sol: Let sum = X. Then S.I = 16x/25   Let rate = R% and Time = R years.   Therefore, (x * R * R)/100 = 16x/25 or R^2 = 1600/25, R = 40/5= 
40/5 = 8
8   Therefore, Rate= 8% and Time = 8 years.   Answer: Rate = 8% and Time = 8 years.
Answer: B
A man travels 100km by train at 50km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance? Pick one: A) 35.3km/hr B) 45km/hr C) 48.9km/hr D) 52.6km/hr E) 27.6km/hr

Solution: Total distance traveled = 100+200+300+100 = 600km   Total time taken = 100/50 + 200/20 + 300/100 + 100/50= 
100/50 + 200/20 + 300/100 + 100/50 = 17
17 hrs   35.3km/hrverage speed= 600/17 = 35.3km/hr approximately ;   35.3km/hrnswer is 35.3km/hr
Answer: A
An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy? (1 Gallon = 8 Pints )	Choose one:	A) 16	B) 18	C) 20	D) 22	E) 24

Solution: 1 gallon = 8 pints   7.5 gallons = 60 pints   18uttermilk = 2 orange   orange = 3 brandy   buttermilk+orange+brandy = 60   2orange+orange+1/3 orange = 60   10 orange = 180   orange = 18 pints   ANSWER:18
Answer: B
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
Choose the correct option:  A) 12  B) 27  C) 21  D) 18  E) 11

Solution: (A+B) - (B+C) = 12   A - C = 12.   C is younger than A by 12 years.   12nswer: 12
Answer: A
For which of the following functions f is f(y) = f(1-y) for all of y? Choose the correct choice from the following:
A) f(y) = 3y + 2	B) f(y) = 1-y^2	C) f(y) = 4y^2 * (2-2y)^2	D) f(y) = y/(y-1)	E) f(y) = y/(y+1)

Solution: y = 2   a) f(2) = 6*2 + 2= 
6*2 + 2 = 14
14; f(-1)= -3 + 2 = -1 NO   b) f(2) =1 - 2^2 = 1 - 4 = -3 ; f(-1) = 1 - (-1)^2 = 1 - 1= 
1 - 1 = 0
0 NO   c) f(2)= 4*2^2 * (2-2*2)^2 = 4*4 * (2-4)^2 = 16 * 4; f(-1) = 4*1 * (2-2(-1))^2 = 4 * (2+2)*2 = 4 * 16 YES   Here we could stop and safely pick the number without doing d & e, but just in case:   d) f(2) = 2/1= 
2/1 = 2
2 ; f(-1)= -1 / -2 = 1/2 NO   e) f(2) = 2/3; f(-1) = -1/0 = 0 (div by 0) NO   So I proved that in all but f(y) = 4y^2 * (2-2y)^2 case if y=2 the values of f(y) ≠ f(1-y)   Answer: f(y) = 4y^2 * (2-2y)^2
Answer: C
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?  Options: A) Rs.14400 B) Rs.26400 C) Rs.12000 D) Rs.12500 E) Rs.13500

Solution: Ratio of the investment=21000:17500=210:175   =42:35=6:5   Share of X in the profit=(26400×6)/11=2400×6   =14400   Rs.14400NSWER:Rs.14400
Answer: A
An amount of money is to be divided among P, Q and R and in the ratio of 5:11:23 respectively. If the difference between the total share of P and Q together and R’s share is Rs. 2,800 what is the difference between Q and R’s share? [Bank 2000]	Choose the correct choice from the following answers.
A) Rs. 6,400	B) Rs. 3,600	C) Rs. 4,800	D) Rs. 3,200	E) Rs. 3,700

Solution: Explanation:   Let he shares of P, Q and R be 5x,11x and 23x respectively, by given condition.   R-(P+Q) = 2800   23x -16x = 2800   7x =2800   x=400   Difference between Q’s an R’s share = 23x-11x = 12x23 -11= 
23 -11 = 12
12x= Rs. 4800   Answer: Rs. 4,800
Answer: C
The cross-section of a well is a trapezium in shape. If the well is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 700 sq m, the depth of well is? Choose the correct choice from the following choices.
A) 20 m  B) 60 m  C) 40 m  D) 80 m  E) 70 m

Solution: 1/2 * d (15 + 5) = 700   d = 70   ANSW70 mR:70 m
Answer: E
20 men can complete a work in 10days. Six days after they started working, 10 more men joined them. How many days will they now take to complete the remaining work?  Choose the correct choice from the following answers.
A) 1/2	B) 8/3	C) 4/5	D) 6	E) 4

Solution: 20*10 men can complete the work in 1 day   1 man's 1 day work = 1/200   20 men 6days work = 6*1/10 = 3/5   remaining work = 1-3/5 = 2/5   30 men's 1 day's work = 30/200 = 3/20   2/5 work is done by them in 20/3 * 2/5 = 8/3days   Answer is 8/3
Answer: B
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?  Answers: A) 47 B) 65 C) 83 D) 92 E) 95

Solution: If number is xy , then x +y =11   and   10x+y +27 = 10y+x   solving these eqns, we get   x=4 and y =7   so number is 47.   47NSWER:47
Answer: A
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Select the correct option
A) 36	B) 28	C) 23	D) 27	E) 32

Solution: Explanation:   We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.   Hence, the required number of straight lines   = + 1 + 1   = 55 - 15 - 10 + 2= 
55 - 15 - 10 + 2 = 32
32   Answer: 32
Answer: E
A sum of money becomes 7/6 of itself in 6 years at a certain rate of simple interest. The rate per annum is? Choose the correct answer:
A) 50/9	B) 50/13	C) 50/17	D) 25/9	E) 5 5/1

Solution: Let sum = x. Then, amount = 7x/6   S.I. = 7x/6 - x = x/6; Time = 6 years.   Rate = (100 * x) / (x * 6 * 6) = 25/9 %.   Answer:25/9
Answer: D
Tarun bought a T.V. with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V.?	Pick
A) Rs. 5000
B) Rs. 10000
C) Rs. 12000
D) Rs. 16000
E) None of these

Solution: Let the labeled price be Rs. 100.   S.P. in 1st case=Rs. 80, S.P. in 2nd case=Rs. 75.   5 : 100 : : 500 : x.   So, x=[(100X500)/5]=10000.   i.e Required CP = 80 % of 10000 = 8000   ANSWNone of theseR:None of these
Answer: E
The smallest 3 digit prime number is? Choose the correct option.
A) 99  B) 101  C) 105  D) 107  E) 109

Solution: The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.   101)
Answer: B
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choose the correct choice from the following choices:
A) 276
B) 299
C) 322
D) 345
E) 395

Solution: Clearly, the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14) = 322.   Answer: Option 322
Answer: C
A committee that includes 10 members is about to be divided into 2 subcommittees with 5 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member? Answers:
A) 48%  B) 44%  C) 40%  D) 36%  E) 32%

Solution: Michael is a member of one of the subcommittees.   P(Annie is on the same subcommittee) = 4/9 which is about 44%.   The answer is 44%.
Answer: B
Find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 55 students is 60 and that of another class of 48 students is 58  Select the correct option
A) 55.1
B) 51.1
C) 53.1
D) 52.1
E) 59.1

Solution: Sum of the marks for the class of 55 students = 55 * 60= 
55 * 60 = 3_300
3300   Sum of the marks for the class of 48 students= 48 * 58= 
48 * 58 = 2_784
2784   Sum of the marks for the class of 103 students=   3300 + 2784= 
3300 + 2784 = 6_084
6084   Average marks of all the students= 6084/103   = 59.1   Answer:59.1
Answer: E
A and B together can complete a work in 12 days. A alone complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Pick one: A) 110 days B) 11 days C) 15 days D) 20 days E) 17 days

Solution: B's one day work= (1/12 - 1/20) = 1/30.   Now, (A+B)'s one day work = (1/20+1/60) = 1/15. [∵ B work for half day only].   So, A and B together will complete the work in 15 days.   15 daysORRE15 daysT ANSWER: "15 days".
Answer: C
Priya purchased n items from a catalog for $9 each. Postage and handling charges consisted of $6 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ? Choose the correct choice from the following options.
A) 10n + 2
B) 10n + 4
C) 19n + 2
D) 19n + 3
E) 8n + 4

Solution: its 10n + 4   n items for $9 each   total price $9n   postage and handling of $5 for 1st item and $1 for the rest   total postage and handling = $ [5+ (n-1)]   = $ n+4   total cost   9n+n+4 = 10n+4
Answer: B
Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done?	Choose the correct option
A) 60	B) 100	C) 120	D) 90	E) 80

Solution: We may have (1 woman and 2 men) or (2 women and 1 man) or (3 women).   So Required number of ways= (5C1x4C2) + (5C2x4C1) + (5C3) =(5*6) + (10*4) +(10)= 
(5*6) + (10*4) +(10) = 80
80   ANSW80R:80
Answer: E
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?  Choose the correct choice from the following answers
A) 127.5  B) 127.1  C) 127.8  D) 127.2  E) 127.0

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 600 m, the number of meters by which A beats C= (600 * 212.5)/1000= 
(600 * 212.5)/1000 = 127.5
127.5 m.   Answer: 127.1
Answer: B
If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
Options.
A) −48 B) −2 C) 46 D) 6 E) 48

Solution: i.e. if a =-3 then b = 9   or if a = 9 then b =-3   But in each case a+b = -3+9= 
-3+9 = 6
6   Answer: option 6
Answer: D
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction W of time taken by the two wide pipes working together to fill the tank?	Choose the correct answer:
A) 1/2	B) 2/3	C) 3/4	D) 3/7	E) 4/7

Solution: I always plug in for these questions.. I find them easier   Let 2 large pipes each work fill 10lts/hr   small ones = 1/2*10= 
1/2*10 = 5
5   total 5= 10+10+5+5+5= 
10+10+5+5+5 = 35
35 lts/hrs   now assume the total capacity= 140 lts ( LCM of 20,35)   Qn :All the pipes working together will take what fraction of time taken by the two wide pipes working together to fill the tank   all working together will take 140/35= 
140/35 = 4
4 hrs   two large pipes working will take   140/20= 
  140/20 = 7
7 hrs   hence ratio W= 4/7 = 4/7
Answer: E
If the average (arithmetic mean) of a and b is 150, and the average of b and c is 90, what is the value of a − c?	Choose the correct answer: A) −220 B) −100 C) 120 D) 135 E) It cannot be determined from the information given

Solution: a+b = 300   b+c = 180   a-c = 120.   IMO option 120.
Answer: C
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices: A) 2400 B) 24087 C) 2409 D) 2405 E) 2401

Solution: 1200 * 12: x * 9 = 2:3   x = 2400   2400nswer:2400
Answer: A
How much interest can a person get on Rs. 45000 at 12.5% p.a. simple interest for a period of four years and six months? Options
A) 45587.58	B) 25587.52	C) 35387.5	D) 25312.5	E) 37587.57

Solution: I = (45000 * 12.5 * 4.5)/100   = (45000 * 25 * 9)/(100 * 2 * 2)   = Rs. 25312.50   Answer: 25312.5
Answer: D
A certain function f satisfies the equation f(x)+2*f(6-x) = x for all real numbers x. The value of f(1) is  Choose the correct choice from the following:
A) 2 B) 1 C) 3 D) 4 E) can't determine

Solution: f(1)+2*f(6-1)=1......... (1)   f(5)+2*f(6-5)=5......... (2)   substituting we have (2) in (1) we have :-   -3f(1)=-9,   hence answer f(1)=3.   ANSWER:3
Answer: C
Ajay can walk 4km in 1 hour. In how many hours he can walk 40km?	Choose the correct choice from the following options
A) 5hrs  B) 10hrs  C) 15hrs  D) 20hrs  E) 30hrs

Solution: 1 hour he walk 4km   he walk 40km in = 40/4 * 1= 
40/4 * 1 = 10
10hours   Answer is 10hrs
Answer: B
How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/8!?  Choose the correct choice from the following choices.
A) 1
B) 3
C) 5
D) 6
E) 9

Solution: 8! = 40320   1/100000 < 1/40320 < 1/10000   0.0001 < 1/40320 < 0.001   So 1/40320 has 5 leading zeros   Answer: 5
Answer: C
108 Ã— 108 + 92 Ã— 92 = ?	Pick:
A) 20120
B) 11500
C) 20128
D) 20660
E) 20228

Solution: Explanation :   (a + b)2 + (a âˆ’ b)2 = 2(a2 + b2)   (Reference : Basic Algebraic Formulas)   1082 + 922 = (100 + 8)2 + (100 âˆ’ 8)2 = 2(1002 + 82) = 2(10000 + 64) = 20128. Answer : Option 20128
Answer: C
All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 105 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
Choose the correct choice from the following
A) 42 B) 45 C) 48 D) 51 E) 54

Solution: 50% of students are in the band only, so 30% of students are in the orchestra only.   Since 20% of students are in both, then 70% of students are in the band which is 105 students.   The number of students in the orchestra is (30%/70%)*105 = 45.   The answer is 45. (30 /70 )*105= 
 (30 /70 )*105 = 45
45.   The answer is 45.
Answer: B
The Shopkeeper increased the price of a product by 15% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choose the most appropriate option: A) A)12.5% B) B)13% C) C)11.5% D) D)14% E) E)15%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.15 = 0.805   Decrease in price = (0.115/1) × 100 = 11.5%   11.5%)
Answer: C
The median annual household income in a certain community of 21 households is $50,000. If the mean income of a household increases by 10% per year over the next 2 years, what will the median M income in the community be in 2 years?  Select.
A) $50,000 B) $60,000 C) $60,500 D) $65,000 E) Cannot be determined

Solution: Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean M is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.
Answer: E
A certain class of students is being divided into teams. The class can either be divided into 16 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choose the correct choice from the following choices:
A) 6 B) 36 C) 48 D) 60 E) 72

Solution: Let total no of students in the class be N   So, we are told that N is divisible by both 16 24   So, Lets find the least common multiple of 16 24 , ie 48   So our answer is (48) 48
Answer: C
In expressing a length 65.687 km as nearly as possible with three significant digits, find the percentage error?	Choose the correct choice from the following answers.
A) 0.019% B) 0.029% C) 0.035% D) 0.045% E) 0.023%

Solution: Error = 65.7-65.687= 
65.7-65.687 = 0.013
0.013   Required percentage= (0.013/65.687)*100 = 0.019%   0.019%nswer is 0.019%
Answer: A
A student can select one of 11 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science. Choose the correct choice from the following: A) 22 B) 72 C) 199 D) 237 E) 264

Solution: 11C1×3C1×4C1 = 11x3x4=264 ways   Answer:264
Answer: E
A charity collected $2,199 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
Choices:  A) 104  B) 100  C) 107  D) 109  E) 101

Solution: Min fund = 20   Total = 2199   The closest multiple of 20 to 2199 is : 108   Which implies 108 people gave 20 and 1 person gave 39   Ans. 109
Answer: D
A batsman scored 125 runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets? Choose the correct choice from the following options:	A) 45%	B) 500/11	C) 600/11	D) 55%	E) 60%

Solution: Explanation :   Number of runs made by running,   =>125−(5×4+5×6).   =>125-50= 
125-50 = 75
>75   Hence, the required percentage is:-=>75/125*100= 
75/125*100 = 60
>60%   Answer : 60%
Answer: E
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Select:
A) 9 a.m.  B) 10 a.m.  C) 10.30 a.m.  D) 11 a.m.  E) 12 a.m.

Solution: Given that distance between two stations is 110km.   First trains speed is 20kmph and starts at 7 am   2nd trains speeed is 25kmph and starts at 8 am.   So at 8 am, the distance covered by first train is 20 kms.   Now remaining distance to cover is (110-20 = 90 km).   The relative speed of both the trains is 20+45 = 45 kms.   So it will take 2 hours to cover 90 km.   Hence the trains will meet after 2 hours from 8am i.e. at 10 am.   ANSWER:10 a.m.
Answer: B
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After four rounds of this activity, what is the maximum amount of money that any one man could receive? Choose one.
A) $4
B) $5
C) $8
D) $15
E) $16

Solution: The Optimized scenario   After 1st Round - $1. Let nobody touches the amount will double in next round.   After 2nd Round - $2. Let nobody touches the amount will double in next round.   After 3th Round - $4. Let Man A touches it and get $4   After 4th Round - $4. Let the same Man A touches it and get another$4.   So, after 4th round, the maximum amount a man receives is $8.   Answer ($8)
Answer: C
Mr. SIMPSON invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 33% and Fund Y paid 18%. The interest earned in Fund Y was exactly $300 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?	Choose the correct choice from the following choices:
A) 50,000
B) 60,000
C) 70,000
D) 100,000
E) 80,000

Solution: X+Y=200,000   0.18Y=0.33A+300   Take away decimals first: 18Y+33X+30,000   Isolate first equation to solve for X (your goal): Y=200,000-Y   Plug in for B:   18(200,000-X)=33X+30,000   3,600,000-18X=33X+30,000   3,570,000=51X   3,570,000/51=X   X=70,000=Answer 70,000hoice 70,000
Answer: C
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 60% profit?	Options.
A) 1024  B) 960  C) 277  D) 266  E) 121

Solution: Let C.P. = Rs. x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 160% of Rs. 640 = 160/100 * 640 = Rs. 1024.   1024nswer: 1024
Answer: A
If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?  Choose the correct choice from the following choices.
A) 30	B) 10	C) 15	D) 20	E) 0

Solution: Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3= 
10 * 3 = 30
30   30nswer: 30
Answer: A