MU-NLPC/Calc-aqua_rat huggingface dataset:
Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?  Choose the correct choice from the following choices:	A) s.6, 19	B) s.6, 10 white sharpener	C) s.6, 16	D) s.6, 11	E) s.6, 12

Solution: Explanation: Just check the options. If she bought 10 white sharpeners at Rs.6 per piece, She has spent Rs.60 already. And with the remaining Rs.40, she bought 8 brown sharpeners at 40/8 = Rs.5 which is Rs.1 less than White sharpener.   Sol: s.6, 10 white sharpener
Answer: B
A cow and horse are bought for Rs.2,00,000. The cow is sold at a profit of 20% and the horse is sold a t a loss of 10%. The overall gain is Rs.4000, the Cost price of cow?	Choose the correct option:
A) 2 percent B) 3 C) 4 D) 5 E) 6

Solution: 2 percentns: Overall profit = 4000200000×100=2%4000200000×100 =2%   By applying alligation rule, we get   2 percentnswer:2 percent
Answer: A
Two stations A and B are 245 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 the correct option
A) 9  B) 10  C) 11  D) 12  E) 1

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 245   45x = 270   x = 6.   So, they meet at 1 p.m.   Answer: Option 1
Answer: E
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3?
Options
A) 20  B) 150  C) 225  D) 300  E) 320

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   4 options for the fourth digit: 0, 3, 6, 9.   Four digit # possible without the restriction (about the digit 2): 4*5*4*4=320   Answer: 320.
Answer: E
A batch of cookies was divided amomg 4 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin  Select:  A) 15/2  B) 9/4  C) 5/9  D) 7/5  E) 5/8

Solution: This will help reduce the number of variables you have to deal with:   G + B = 2/3   R = 1/4   B = 1/4   We can solve for G which is 5/12   What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?   So..   X*(G+R)=G   X*(5/12 + 1/4) = 5/12   X = 5/8   ANSW5/8R: 5/8
Answer: E
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?	Choose one
A) 5.72	B) 5.29	C) 5.76	D) 5.39	E) 5.29

Solution: M = 6   S = 1.2   DS = 7.2   US = 4.8   x/7.2 + x/4.8 = 1   x = 2.88   D = 2.88 * 2= 
2.88 * 2 = 5.76
5.76   Answer:5.76
Answer: C
For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(101) – g(99)?	Answers:
A) 0  B) 98  C) 99  D) 100  E) 90

Solution: g(101) = 1*3*5*7*9*...*99*101   g(99) = 1*3*5*7*9*...*99   g(101) - g(99) = 1*3*5*7*9*...*99*101 - 1*3*5*7*9*...*99 = 1*3*5*7*9*...*99*(101 - 1) = 1*3*5*7*9*...*99*100   hence:100
Answer: D
Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 25% faster than the second car's speed. If the distance between the cars is 720 km, how many hours will it take until the two cars meet?
Pick:
A) 3	B) 3.5	C) 4	D) 4.5	E) 5

Solution: The speed of the first car is 100 km/h.   The speed of the second car is  100 / 1.25= 
 100 / 1.25 = 80
80 km/h.   The two cars complete a total of 180 km each hour.   The time it takes the cars to meet is   720 / 180= 
  720 / 180 = 4
4 hours.   The answer is 4.
Answer: C
The value of a machine depreciates at 25% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?	Choose one:
A) $258375
B) $438375
C) $128375
D) $108375
E) $158375

Solution: The value of the machine after two years = 0.75 * 0.75 * 1,50,000 = $84,375   SP such that a profit of $24,000 is made = 84,375 + 24,000 = $1,08,375   $108375
Answer: D
What is the sum of the greatest common factor and the lowest common multiple of 36 and 56?
Choose the correct choice from the following answers
A) 592 B) 520 C) 508 D) 560 E) 584

Solution: Prime factorization of the given numbers   36= 2^2 * 3^2   56= 2^3 *7   Greatest common factor = 4   Lowest common multiple = 504   Sum = 4+ 504= 
4+ 504 = 508
508   Answer 508
Answer: C
How many words, with or without meaning, can be formed using all letters of the word BEAUTIFUL using each letter exactly once?	Choose the correct choice from the following
A) 388,620	B) 388,260	C) 362,880	D) 352,880	E) 342,880

Solution: The Word BEAUTIFUL has exactly 9 letters which are all different.   Therefore the number of words that can be formed = Number of permutations of 9 letters taken all at a time.   = P (9, 9) = 9!   = 9 x 8 × 7 x 6 × 5 x 4 x 3 x 2 × 1   = 362,880   ANSWER:362,880
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?	Choices:
A) 12/428 B) 12/420 C) 12/455 D) 12/429 E) 12/419

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (212/4551)(412/4552)/1512/4553   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)   = 12/455   Answer:12/455
Answer: C
A firm is comprised of partners and associates in a ratio of 2:63. If 35 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
Choose the correct choice from the following answers
A) 12	B) 14	C) 16	D) 18	E) 20

Solution: The ratio 1:34 = 2:68 so the ratio changed from 2:63 to 2:68.   68-63= 
68-63 = 5
5 which is 1/7 of the increase in 35 associates.   The ratio changed from 14:441 to 14:476.   Thus the number of partners is 14.   The answer is 14.
Answer: B
Find the odd man out. 18, 16, 12, 24, 21, 34, 46	Pick:  A) 16  B) 46  C) 24  D) 21  E) 18

Solution: Explanation :   21 is the only odd number in the given series   Answer : Option 21
Answer: D
A train 120 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Pick.
A) 443 m B) 354 m C) 450 m D) 380 m E) 250 m

Solution: 380 m   350   380 m = 72 * 5/18 = 25 = 500 â€“ 120 = 380
Answer: D
If p ≠ 1 and if qp/(q - p) = 1, what is the value of q in terms of p?	Choose one:
A) (p+1)/p B) (p - 1)/p C) p/(p + 1) D) p/(1-p) E) (1 - p)/p

Solution: This question comes with a particular 'quirk' (one that you probably won't see on Test Day). The GMAT won't test you on the concept of undefined numbers (re: numbers divided by 0), so any time that this concept is a possibility, the question writers have to add a restriction that removes the option that a 0 could occur in the denominator.   Here, we're told that B CANNOT = 1, which is a bit strange because that restriction doesn't seem to impact the original equation much. In fact, it impacts JUST ONE of the answer choices - so you have to ask WHY that restriction is even there. It's actually because that one answer is the correct one.   Final Answer:   p/(1-p)
Answer: D
The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choose the most appropriate option
A) 0.144	B) 0.072	C) 0.432	D) 0.72	E) 0.288

Solution: P(Rain) = 0.4 = 2/5   So, P(no rain) = 0.6 = 3/5   Let R represent Rain, and let N represent no rain   So, P(Rain exactly once) = P(R-N-N OR N-R-N OR N-N-R)   = P(R-N-N) + P(N-R-N) + P(N-N-R)   = (2/5)(3/5)(3/5) + (3/5)(2/5)(3/5) + (3/5)(3/5)(2/5)   = 18/125 + 18/125 + 18/125   = 54/125   NO DE0.432IMAL 0.432ONVERSION NEEDED   Notice that 62.5/125 = 1/2= 
1/2 = 1/2 = around 0.5
0.5, so 54/125= a little less than 0.5   Answer:0.432
Answer: C
Which one of the given numbers is divisible by 11?  Choices:
A) 4823718	B) 8423718	C) 8432718	D) 4872318	E) 4852718

Solution: Explanation:   4872318 = (4+7+3+8) – (8+2+1)= 
(8+2+1) = 11
11   So, the given number is divisible by 11   Answer:4872318
Answer: D
If the cost price of 18 articles is same as the selling price of 25 articles. Find the gain or loss percentage?  Select.
A) 30% Gain  B) 28% Loss  C) 40% Gain  D) 40% Loss  E) 50% Loss

Solution: Explanation:   18 cp = 25 sp   Cost price CP = 25   Selling price SP = 18   Formula = (SP-CP)/CP * 100 = (18 - 25)/25 * 100 = 28 % Loss   Answer: Option 28% Loss
Answer: B
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choose the correct answer:
A) 17327	B) 15008	C) 13272	D) 15000	E) 12822

Solution: Explanation:   The ratio of their profits A:B = 8:12 = 2:3   Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000   Answer: 15000
Answer: D
What least no. must be subtracted from 10154 so that remaining no.is divisible by 30?	Choose one:
A) 10	B) 12	C) 14	D) 8	E) 9

Solution: Explanation:   On dividing 10154 by 30 we get the remainder 14, so 14 should be subtracted   Option 14
Answer: C
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?  Pick:
A) 5 years B) 7 years C) 9 years D) 6 years E) 12 years

Solution: 100 ---- 300 --- 3   900 --- 3   ----   6 years   Answer: 6 years
Answer: D
A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?	Choose the most appropriate option
A) 1390
B) 2987
C) 2889
D) 2689
E) 2891

Solution: 2(25 * 15 + 15 * 8 + 25 * 8)   2(375 + 120 + 200)   => 1390   1390nswer: 1390
Answer: A
Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 72% problems right. How many more questions he would have to answer more to get
passed Choose the correct choice from the following answers:  A) 5  B) 14  C) 7  D) 8  E) 9

Solution: Explanation:   Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)   = 7 + 12 + 21= 
7 + 12 + 21 = 40
40.   Questions to be answered correctly for 72%= 72% of total quations   = 72 % of 75 = 45.   He would have to answer 54 - 40= 
54 - 40 = 14
14   Answer: Option 14
Answer: B
The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr?
Choose the correct choice from the following answers
A) 6 min B) 5 min C) 5.5 min D) 4 min E) 3 min

Solution: 6 minrea of a square field = 7201 sq m   Let the side of square = a   a^2 = 7201   => a = 84.86   Diagonal = (2)^(1/2) * a   = 1.414 * 84.86   =120   Speed of lady = 1.2 km / hour   = 1200 m / hour   = 20 m / min   Time taken by lady to cross the field diagonally = 120/20= 
120/20 = 6
6 min   6 minnswer 6 min
Answer: A
A bowl was filled with 10 ounces of milk, and 0.002 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
Choices:
A) A)0.001%
B) B)0.01%
C) C)1%
D) D)10%
E) E)12%

Solution: Total amount of milk evaporated each day during a 50-day period = .002 * 50   =.002 * 100/2   = .2/2= 
.2/2 = 0.1
.1   percent of the original amount of milk evaporated during this period= (.1/10) * 100= 
(.1/10) * 100 = 1
1 %   Answer 1%
Answer: C
The area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm. What is the perimeter of the square?	Choose the most appropriate option:
A) 289 cm
B) 160 cm
C) 829 cm
D) 288 cm
E) 289 cm

Solution: Area of the square = s * s   = 5(20* 16)   => s = 40   = 40 cm   Perimeter of the square   = 4 * 40= 
4 * 40 = 160
160 cm.   Answer: 160 cm
Answer: B
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?	Choose one
A) - 11
B) - 1
C) 0
D) 1
E) 11

Solution: Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.   Now the question is asking the value of 0^6 - 6^0 = -1   ANSWER:- 1
Answer: B
Find the lowest positive integer that can be divided by each of the following integers: 8,9,10,11,12,13,
Choose the correct choice from the following answers:
A) 51480  B) 6000  C) 34872  D) 2348  E) 2345

Solution: To get the least positive integer that can be divided by each of these numbers 8,9,10,11,12,13, you calculate the lowest common denominator of all the numbers. Express each number as a product of their prime factors and multiply the set of prime numbers from each set with the highest exponent value.   LCM=2^3*3^2*5*11*13   The answer is 51480)
Answer: A
Bill has d animals, 20 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d? Choose the correct choice from the following:
A) 6  B) 12  C) 18  D) 24  E) 30

Solution: Total d animals, suppose each has price of x - total price = dx   now 20 were sold at profit of 10%, making equation - - 20*1.1x   now d-20 were sold at loss of 20%, making eqn --- (d-20)*0.8x   Now he made no profit or loss so,   dx = 20*1.1x + (d-20)*0.8x   solving for d, we get d=30   Ans 30
Answer: E
What is the value of 16^2 + 17^2 + 18^2 + 19^2 + 20^2 + 21^2 + 22^2 + 23^2 + 24^2 ?  Pick one.
A) 3298 B) 3660 C) 3670 D) 3328 E) 3338

Solution: This is what I did, all the nos are close to 20, and squared, so 20^2 plus there are 9 numbers, so (20)^2 x 9 =3600,   now squaring the last digits of each no individually comes up to   (16+9+4+1+0+1+4+9+16)= 
  (16+9+4+1+0+1+4+9+16) = 60
60.   when you add the 2 up it gives you a  (3600+60)= 
 (3600+60) = 3_660
3660,   Answer is 3660
Answer: B
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Pick one:
A) 17 1/9 B) 17 1/3 C) 17 1/7 D) 17 1/9 E) 17 1/1

Solution: 1/20 + 1/30 - 1/40 = 7/120   120/7 = 17 1/7   Answer: 17 1/7
Answer: C
A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 4 metres apart, how many poles will be needed ? Choose the correct choice from the following options
A) 55	B) 70	C) 57	D) 58	E) None of these

Solution: Solution   Perimeter of the plot = 2(90 + 50) = 280 m.   ∴ Number of poles = [280/4= 
280/4 = 70
70m Answer 70
Answer: B
The length of a rectangle is halved, whileits breadth is tripled. Wat is the % change in area?
Answers:
A) 40% B) 45% C) 50% D) 65% E) 70%

Solution: Let original length = x and original breadth = y.   Original area = xy.   New length = x .   2   New breadth = 3y.   New area = x x 3y = 3 xy.   2 2   Increase % = 1 xy x 1 x 100 % = 50%.   2 xy   50%
Answer: C
45 litres of mixture is created by mixing Liquid A and Liquid B in the ratio 3:2. How much more Liquid B must be added to make the ratio 9:11? Choose the correct choice from the following options:
A) 9 Litres
B) 10 Litres
C) 12 Litres
D) 15 Lt
E) 16 Litres

Solution: In current ratio A = (3/5) * 45= 
(3/5) * 45 = 27
27   B is 18   Suppose "b" amount of b is added   new ratio= 27/(b+18) = 9/11   => b+18 = 33   => b = 15   So, answer will be 15 Lt
Answer: D
A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the correct choice from the following answers:  A) 45  B) 60  C) 75  D) 90  E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 400   16x = 400   x = 25.   Hence, total number of notes = 3x = 75.   Answer: Option 75
Answer: C
A number is trebled and 10 is subtracted. If the resultant is divided by 5, it becomes 35. What is that number?  Choose the correct choice from the following answers.
A) 73.5 B) 185/3 C) 155/3 D) None of these E) Cannot be determined

Solution: Solution   Let the number be x.   Then, (3x - 10)/5 ‹=› 35   ‹=› 3x - 10 = 175   ‹=› 3x= 185   x= 185/3.   Answer 185/3
Answer: B
If q persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?  Choose the correct choice from the following answers:  A) z  B) x  C) x/y  D) z/x  E) y/z

Solution: the Q doesn't seem to be having the any correct answer as a choice..   since we are looking for days, lets keep days in end and work out a solution..   q person can do z jobs in y days..   so q person can do 1 job in y/z days..   and 1 person can do 1 job in y^2/z days..   so y person can complete 1 job in y^2/zy=y/z..   so the answer should be y/z=y/z
Answer: E
If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 70 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Choices:
A) 60 %  B) 65 %  C) 70%  D) 75%  E) 80%

Solution: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}   100 = 85 + 70 - {Both correctly} + 5   {Both correctly} = 60.   60 %nswer: 60 %.
Answer: A
In a certain alphabet, 16 letters contain a dot and a straight line. 30 letters contain a straight line but do not contain a dot. If that alphabet has 50 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?	Select
A) 4	B) 8	C) 12	D) 16	E) 20

Solution: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).   First we find the total # of letters with lines:  16 +30= 
 16 +30 = 46
46;   Next, we find the total # of letters without line:  50 - 46= 
 50 - 46 = 4
4;   Finally, we find the # of letters that contain a dot but do not contain a straight line: 4 - 0= 
4 - 0 = 4
4.   4nswer: 4
Answer: A
One computer can upload 100 megabytes worth of data in 2 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 10 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data? Choose the correct choice from the following answers:
A) 6.6
B) 7
C) 9
D) 11
E) 13

Solution: Since the first computer can upload 100 megabytes worth of data in 2 seconds then in   2*10= 
  2*10 = 20
20 seconds it can upload   10*100= 
  10*100 = 1_000
1000 megabytes worth of data, hence the second computer in 20 seconds uploads   1300-1000= 
  1300-1000 = 300
300 megabytes worth of data. The second computer can upload 100 megabytes of data in 6.6 seconds.   6.6nswer: 6.6.
Answer: A
A six-sided die is rolled once. What is the probability that the number rolled is greater than 3?  Choices
A) 2 / 3 B) 1 / 2 C) 3 / 3 D) 4 / 5 E) 2 / 4

Solution: Only 4, 5 & 6 so, 3 / 6 = 1/2   correct answer 1 / 2
Answer: B
When positive integer m is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of q?
I. 8
II. 15
III. 30	Choose one:
A) I only
B) II only
C) I and II only
D) II and III only
E) None of the above

Solution: ans E..   we can tell the ans w/o using examples..   the units digit of product m*q is 3..   this means m and q are odd positive integers..   therefore q cannot have an even factor so 8 and 30 are out..   q cannot have a factor ending in 5 because in that case the units digit has to be 5 or 0... so 15 is also out
Answer: E
Before 2 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?	Choose the correct choice from the following answers
A) 36
B) 42
C) 54
D) 60
E) 64

Solution: 36 - 2 = 4(B - 2) --> 36 - 4B = -6.............1   36 + 4 = 3(B + 4) --> 36 - 3B = 8.............2   (2) - (1) --> B = 14 --> 36 = 3(18) = 50   36 - B = 50 - 14= 
50 - 14 = 36
36   36nswer: 36
Answer: A
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
A) 180degree
B) 160degree
C) 120degree
D) 150degree
E) 170degree

Solution: We know that angle traced by hour hand in 12 hrs = 360°   From 8 to 2, there are 6 hours.   180degreengle traced by the hour hand in 6 hours = 6×360/12=180°   180degreenswers is 180degree.
Answer: A
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 44 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
Choose the correct choice from the following answers
A) 40
B) 42
C) 44
D) 46
E) 48

Solution: Annie earned 40x + 4(2x) = 48x   Let H be the number of hours that Harry worked.   Harry earned 30x + 1.5x(H-30) = 48x   (1.5x)(H) = 63x   H = 42 hours   The answer is 42.
Answer: B
In a certain store, the profit is 100% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choose the correct option.
A) 30% B) 70% C) 37.5% D) 250% E) 120%

Solution: Let C.P. = Rs. 100. Then, profit = Rs. 100, S.P. = Rs. 200   New C.P. = 125% of Rs. 100 = Rs. 125.   New S.P. = Rs. 200   Profit = 200 - 125 = Rs. 75   Required percentage = 75/200 * 100= 
75/200 * 100 = 75/2 = around 37.5
37.5%   ANSWER:37.5%
Answer: C
Mrs. Angel. invested $24,000; part at 5%, and part at 8%. The total interest on the investment was $1,680. How much did she invest at each rate?
Pick one:
A) x=$13,000, y =$26,000
B) x=$8,000, y =$16,000
C) x=$14,000, y =$28,000
D) x=$15,000, y =$30,000
E) x=$18,000, y =$36,000

Solution: I approached this question like a mixture problem.   I don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.   Anyway here's how I did it.   0.05(x) + 0.08(y) = 0.07(x+y)   0.01(y) = 0.02(x)   y = 2x   Note: 0.07(x+y) because $1,680 is 7% of 24,000   In which answer choice is y = 2(x)   Answer x=$8,000, y =$16,000
Answer: B
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.500, what is the reduced price for kg?
Choose the correct choice:
A) 25
B) 60
C) 70
D) 80
E) 20

Solution: 25   500*(25/100)= 
500*(25/100) = 125
125 ---- 5   ? ---- 1=> Rs.25
Answer: A
The Simple interest and the true discount and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is :  Choose the correct choice from the following options:  A) Rs. 1800  B) Rs. 1450  C) Rs. 1360  D) Rs. 6800  E) None

Solution: Solution   Sum =S.I xT.D./ ( S.I ) - ( T.D. ) = 85x80/85 - 80 = Rs. 1360.   Answer Rs. 1360
Answer: C