MU-NLPC/Calc-aqua_rat huggingface dataset:
Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 30 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
Answers
A) 1/3
B) 3
C) 4
D) 45/14
E) 12

Solution: In 15 mins, Timothy travels=9/4 miles.   Now, let his mother takes x hours to reach him, traveling at 30mph.   So, 30x=9x+9/4   x=3/28 hrs.   Thus, the distance traveled by his mother to reach= 30*3/28=45/14 miles. Ans 45/14
Answer: D
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is: Choose the correct choice from the following choices
A) 2:5
B) 2:3
C) 2:4
D) 4:5
E) 2:9

Solution: Let the ratio be k : 1. Then,   k * 16.3 + 1 * 15.4 = (k + 1) * 15.8   = (16.3 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.5 = 4/5   Required ratio = 4/5 : 1 = 4:5.   Answer:4:5
Answer: D
3 candidates in an election and received 2500, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?	Choose the correct choice from the following choices:
A) 72.72%	B) 50%	C) 57.57%	D) 60%	E) 65%

Solution: Total number of votes polled = (2500 + 5000 + 20000)= 
(2500 + 5000 + 20000) = 27_500
27500   So, Required percentage= 20000/27500 * 100 = 72.72%   72.72%
Answer: A
The volume of a cube is 729 cc. Find its surface.	Select the correct option.
A) 864	B) 444	C) 456	D) 486	E) 422

Solution: a3 = 729 => a = 96a2 = 6 * 9 * 9= 
6 * 9 * 9 = 486
486Answer: 486
Answer: D
If (x/y)=(6/5), find the value (x^2+y^2)/(x^2-y^2)
Choose the correct choice from the following answers.
A) 61/11	B) 51/11	C) 41/11	D) 21/11	E) None of them

Solution: = (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(6/5)^2+1] / [(6/5)^2-1]   = [(36/25)+1] / [(36/25)-1] = (61*25)/(25*11) = 61/11   61/11nswer is 61/11.
Answer: A
Find the sum and number of divisors of 544 excluding 1 and 544.
Options
A) 587  B) 588  C) 589  D) 590  E) 591

Solution: if N = p^a * q^b *r^c *...   total no. of factors of N = (a+1)*(b+1)*(c+1)*... &   sum of all of the factors of N =(1+p+p^2+...+p^a)*(1+q+..+q^b)*(1+r+r^2+...+r^c)   544 = 2^5 * 17   number of divisors of 544 excluding 1 and 544 = (5+1)*(1+1) - 2= 
(5+1)*(1+1) - 2 = 10
10   sum of divisors of 544 excluding 1 and 544= (1+2+2^2+2^3+2^4+2^5)*(1+17)-1-544   = 589   ANSWER:589
Answer: C
The sale price of an article including the sales tax is $ 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:  Choose the correct choice from the following choices: A) $700 B) $800 C) $500 D) $300 E) $400

Solution: C   $500   110% of S.P. = 616   S.P. = (616 * 100)/110= 
(616 * 100)/110 = 560
$ 560   $500.P= (110 * 560)/112 = $ 500
Answer: C
A is 1.5 times as fast as B. A alone can do the work in 20 days. If A and B working together , in how many days will the work be completed?  Choose the correct choice from the following answers:	A) 23	B) 22	C) 12	D) 24	E) 25

Solution: A can finish 1 work in 20 days   B can finish 1/1.5 work in 20 days - since A is 1.5 faster than B   This means   B can finish 1 work in 20*1.5= 
20*1.5 = 30
30 days   Now using the awesome GMAT formula when two machines work together they can finish the job in= AB/ (A+B) = 20*30/(20+30) = 20*30/50= 
20*30/50 = 12
12 days   So answer is 12
Answer: C
A marble statue is being carved by a sculptor. In the first week 35% is cut away, in the second week 20% of the remainder is cut away and in the third week 25% of the remainder is cut away and polished to produce the final statue. The weight of the final statue is 48.75 lbs. What was the weight of the original piece of marble?  Choose the correct choice from the following.
A) 134
B) 167
C) 125
D) 113
E) 111

Solution: 125   lb : reverse the calculations:   So 48.75 ÷ 0.75 = 65,   65 ÷ 0.8 = 81.25 and   81.25 ÷ 0.65 = 125.
Answer: C
It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one quarter of the dish?
Options.
A) 10 days  B) 14 days  C) 24 days  D) 28 days  E) 29 days

Solution: The bacteria doubles each day, so after 29 days, the dish was half full.   After 28 days, the dish was one quarter full.   The answer is 28 days.
Answer: D
If log x + log y = log (x+y), then,
Choose the correct choice: A) x=y B) xy=1 C) y= (x-1)/x D) y=x/(x-1) E) y=1/(x-1)

Solution: log x + log y = log (x+y)   => log (x+y) = log (xy)   => x+y = xy => y(x-1) = x   => y= x/(x-1)   ANSWER:y=x/(x-1)
Answer: D
From the sale of sleeping bags, a retailer made a gross profit of 16% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?	Choose the correct choice from the following answers.
A) 3.0
B) 3.36
C) 24.13
D) 25.0
E) 31.36

Solution: Cost price * 1.16 = Selling price --> Cost price * 1.16 = $28 --> Cost price = $24.13.   Answer: 24.13.
Answer: C
In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?  Pick one:
A) 1:6 B) 1:1 C) 1:8 D) 1:9 E) 1:3

Solution: Number of men in the colony = 4/7 * 70= 
4/7 * 70 = 40
40.   Number of women in the colony= 3/7 * 70 = 40.   Number educated women in the colony = 1/5 * 30= 
1/5 * 30 = 6
6.   Number of uneducated women in the colony= 4/5 * 50 = 24.   Number of educated persons in the colony = 8 /35 * 70= 
8 /35 * 70 = 16
16.   As 6 females are educated, remaining 10 educated persons must be men.   Number of uneducated men in the colony= 40 - 10= 
40 - 10 = 30
30.   Number of educated men and uneducated men are in the ratio 10 : 30 i.e., 1:3.   Answer:1:3
Answer: E
What is the smallest number which when diminished by 24, is divisible 5, 10, 15 and 20?
Choose the correct choice from the following options
A) 276  B) 84  C) 88  D) 90  E) 342

Solution: Required Number   = (LCM of 5, 10, 15 and 20) + 24   = 60 + 24= 
60 + 24 = 84
84   Option 84
Answer: B
If 35 people play hockey and 10 people play both football and hockey and if 10 people play hockey and cricket and 5 people play all three games then the number of people playing hockey alone is? Select.
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: hockey =35 (given)   hockey , cricket , football = 5(given)   hockey , cricket = 10(given)   hockey , football = 10(given)   only hockey = 35 - 5(h,c,f)-5(h,c (10-5)) -5(h,f(10-5))=35-5-5-5= 
35-5-5-5 = 20
20   ANSWER:20
Answer: C
A man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes. If the ratio between the length and breadth of the park be 3:2, then its area is: Answers:
A) 1536m2
B) 15360m2
C) 153600m2
D) 163600m2
E) None of these

Solution: Perimeter= Distance covered in 8 min   = (12000/60 *8)= 
(12000/60 *8) = 1_600
1600m   Let, length= 3x meters and breadth= 2x meters   Then, 2(3x+2x)= 1600 or x= 160   Therefore, length= 480 m and breadth= 320m   Therefore, area= (480*320)m2 = 153600 m2   ANSWER:153600m2
Answer: C
At a circular table for twelve will sit ten adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the twelve people be arranged around the table.
Pick:	A) 116,120	B) 124,480	C) 132,720	D) 142,240	E) 161,280

Solution: Consider the two parents and two children as one unit.   Then there are eight adults and one family unit.   The number of ways 9 can form a line is 9!   Around a circular table, there would be 9 rotations so we divide this number by 9.   There are 8! ways for 9 to sit around the circular table.   Then the two children have two options and the two parents have two options.   Then the total number of ways is 8!*2*2= 161,280   The answer is 161,280.
Answer: E
The present ages of three persons in proportions 2 : 8 : 6. Eight years ago, the sum of their ages was 56. Find their present ages (in years).  Choose the correct choice:
A) 10, 40, 30	B) 16, 28, 36	C) 16, 28, 35	D) 16, 28, 34	E) 16, 28, 33

Solution: Let their present ages be 2x, 8x and 6x years respectively.   Then, (2x - 8) + (8x - 8) + (6x - 8) = 56   16x = 80   x = 5.   Their present ages are 2x = 10 years, 8x = 40 years and 6x = 30 years respectively.   10, 40, 30nswer:10, 40, 30
Answer: A
There are 20 poles with a constant distance between each pole. A car takes 26 second to reach the 12th pole. How much will it take to reach the last pole.	Choose the correct choice from the following
A) 44.4543 B) 44.9091 C) 44.95128 D) 44.91288 E) 44.91222

Solution: Assuming the car starts at the first pole.   To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).   11 poles 26 seconds   1 pole (26/11) seconds   To reach the last (20th) pole, the car needs to travel 19 poles.   19 pole 19 x (26/11) seconds   = 44.9091 seconds   Answer:44.9091
Answer: B
If x is a positive integer, and two sides of a certain triangle have lengths x and y respectively, where x is greater than y, which of the following could be the length of the third side of the triangle?
I. AB < x + y
II. AB > x - y
III. AB < y - x Choose the correct answer:	A) I only	B) II only	C) I and II only	D) II and III only	E) I, II and III

Solution: Let the third side of triangle be AB   Triangle rule states that:   Difference of other 2 sides < any side < sum of other two sides   So x - y < AB < x + y   I. AB < x + y ; could be a possible value.   II. AB > x - y ; could be a possible value.   III. AB < y - x ; could not be a possible value.   Answer: I and II only
Answer: C
A train covers a distance of 100km in 1 hour. If its speed is decreased by 12km/hr, the time taken by the car to cover the same distance will be?
Choose the correct choice from the following choices
A) 1hr  B) 1hr 8min  C) 50min  D) 1hr 30min  E) 1hr 45min

Solution: Speed = 100/1= 
100/1 = 100
100km/hr   New speed= 100-12= 
100-12 = 88
88 km/hr   Time taken= 100/88 = 1hr 8min   Answer is 1hr 8min
Answer: B
Jane makes toy bears. When she works with an assistant, she makes 60 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?	Choose the correct choice from the following:  A) 70%  B) 80%  C) 100%  D) 180%  E) 200%

Solution: We can use fractional equivalents here to solve the problem   80% = 4/5; this means that in 1st case if she prepares 5 bears, in 2nd case she prepares 9 bears   10% = 1/10; this means that in 1st case if she needs 10 hours, in 2nd case she needs 9 hours   Now we come to productivity   Based on above fractional values the productivity in 1st case is 0.5 bears / hour and in the 2nd case it is 1 bear / hour   Hence the productivity is double with the assistant i.e. the increase in productivity is 70%   70%
Answer: A
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:4. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?	Choices.
A) 9:8 B) 8:9 C) 3:2 D) 2:3 E) 16:9

Solution: The ratio of economy to luxury cars is 3:4 --> E:L = 3:4 = 12:16.   The ratio of economy cars to sport utility vehicles is 4:3 --> E:S = 4:3 = 12:9.   Thus, L:S = 16:9.   Answer: 16:9.
Answer: E
If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+17 is divided by 41?
Choose the most appropriate option.
A) 3
B) 5
C) 6
D) 22
E) 18

Solution: X can be written as 82K + 5 or X = 5,87,169,etc.   X + 17 = 82K + 5+17= 82K +22 or X + 17 = 22,104, 186 etc.   When divided by 41, we will get the remainder 22.   22
Answer: D
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?	Choose the correct choice from the following answers.
A) 13  B) 31  C) 49  D) 54  E) 67

Solution: If a number is divisible by 9, the sum of its digits must be divisible by 9. --> If a number leaves a remainder 4 when divided by 9 the sum of its digits must be 4.   54   Answer: 54
Answer: D
A man covers a certain distance A in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance? Choose the correct choice from the following choices.
A) 200 km  B) 50 km  C) 20 km  D) 60 km  E) 80 km

Solution: Not really. When you solve the 2 equation above, you get,   6T-4/3 = 5R/6 from simplifying equation 1   4T-2=R/2 from simplifying equation 2   You can now multiply equation 2 by 5 to get   5(4T-2=R/2 ) = 20T-10=5R/2 and then subtract this new equation from equation 1 to get T=3, followed by R=20 to give you distance A= R*T=20*3= 
20*3 = 60
60 km.60 km
Answer: D
The present worth of a sum due sometimes hence is Rs.5760 and the banker's gain is Rs.10. What is the true discount?	Select the correct option.
A) Rs. 480
B) Rs. 420
C) Rs. 120
D) Rs. 240
E) None of these

Solution: TD = √PW × BG   =√5760×10   =√57600   = Rs. 240   ANSWER:Rs. 240
Answer: D
How much time will take for an amount of Rs. 150 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Select the correct option:
A) 7
B) 4
C) 5
D) 12
E) 2

Solution: Time = (100 * 81) / (150 * 4.5)= 
(100 * 81) / (150 * 4.5) = 12
12 years'   Answer:12
Answer: D
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?  Choose the most appropriate option:	A) 13 1/7 days	B) 13 1/3 days	C) 13 2/3 days	D) 13 1/7 days	E) 13 3/3 days

Solution: 5/30 + 20/x = 1   x = 24   1/30 + 1/24 = 3/40   40/3 = 13 1/3 days   Answer:13 1/3 days
Answer: B
The price for a loaf of bread in April was $1.14, in May the price was $1.35, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?	Choose the correct choice from the following choices.
A) $1.13
B) $1.14
C) $1.15
D) $1.16
E) $1.17

Solution: Let x be the number of loaves sold in May.   Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.   The average price was (2x/3)(114) + 135x + (4x/3)(105) / (2x/3 + x + 4x/3) =   (76 + 135 + 140) / (3) = 351/3 = $1.17   The answer is $1.17.
Answer: E
¹⁵/₇₁, ⁴¹/₇₁, ⁶²/₇₁ etc. are like/unlike fractions	Pick one:
A) unlike fraction
B) like fraction
C) both
D) none
E) Can't determined

Solution: Fractions having the same denominators are called like fractions.   denominators of all fractions are 71 so like fraction   ANSWER :like fraction
Answer: B
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 7 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Choose the correct choice from the following answers
A) 20 km B) 35 km C) 40 km D) 50 km E) 60 km

Solution: Number of stops in an hour: 60/5= 
60/5 = 12
12   Distance between stops: 60/12= 
60/12 = 5
5 km   Distance between Yahya's house and Pinedale Mall: 5 x 7= 35 km   IMO, correct answer is "35 km."
Answer: B
12 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?  Pick:	A) 80	B) 160	C) 720	D) 1600	E) 1848

Solution: No. of ways of picking 2 biology books(from 12 books) = 12C2 = (12*11)/2= 
(12*11)/2 = 66
66   No. of ways of picking 2 chemistry books(from 8 books)= 8c2 = (8*7)/2= 
(8*7)/2 = 28
28   Total ways of picking 2 books of each type= 66*28= 
66*28 = 1_848
1848   (Option 1848)
Answer: E
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference Q between the greatest and least of the five integers?  Choose the most appropriate option.
A) 4K B) 4k^2 -4k C) 4-4k D) 4 E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 2k - 1   => n = 10k - 5   Greatest = n + 2 = 10k - 5 + 2 = 10k - 3   Least = n - 2 = 10k - 5 - 2   => 4ifference Q= 10k - 3 - (10k - 7)   = 4   Answer - 410  - 3 - (10  - 7)= 
10  - 3 - (10  - 7) = 4
4   Answer - 4
Answer: D
There are 5 boys and 3 girls. In how many ways can they be seated in a row so that all the three girls do not sit together?
Choose the most appropriate option:
A) 24000 B) 36000 C) 54200 D) 32560 E) 45100

Solution: Total number of persons = 5+3= 
5+3 = 8
8   they can be seated in a row in 8! ways   Treat 3 girls as 1 so we have 6 people can be arranged in 6! ways   Three girls can be arranged among themselves in 3! ways   Required number of ways= 8!-6!*3! = 36000   Answer is 36000
Answer: B
Adams's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Adams makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
Answers:
A) 15
B) 24
C) 25
D) 26
E) 13

Solution: day 0- payment of $7 is made in the morning (after 12 am midnight)   day 1 onwards(after 12 am midnight) internet service will begin and will run for  7*2= 
 7*2 = 14
14 days i.e. at the end of day 15 balance will be zero.   now Adams can still use the internet till her debt reaches $5 which means total of  5*2= 
 5*2 = 10
10 days.   now the question states for how many days, including today, will she be connected to the internet without any additional paymentsi.e. we will have to include day0 also in our final answer. therefore total no. of days=1+14+10= 
1+14+10 = 25
25=25
Answer: C
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 18 pages.	Options
A) 8  B) 10  C) 2  D) 14  E) 16

Solution: subhas 's 1 hr copy page=50/10= 
50/10 = 5
5 page   (subhas+prakash)'s 1 hr copy page=300/40= 
300/40 = 15/2 = around 7.5
7.5 page   from above prakash's 1 hr copy page= 2.5 page   so time taken in 30 page's copy =(5/2.5)= 
(5/2.5) = 2
2 hrs   ANSWER:2
Answer: C
If cost of sugar increases by 10%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choose the most appropriate option
A) 22%  B) 50%  C) 20%  D) 9.1%  E) 30%

Solution: 100   110   -----   110 ----- 10   100 ------ ? => 9.1%   Answer: 9.1%
Answer: D
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose the correct option
A) 2:5  B) 2:7  C) 2:2  D) 2:1  E) 2:9

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2 : 5   2:5nswer: 2:5
Answer: A
What annual installment will discharge a debt of Rs. 1260 due in 3 years at 12% simple interest? Select.
A) 315	B) 345	C) 325	D) 375	E) None of them

Solution: Let each Installment be Rs. x   Then, ( x+ ((x*12*1)/100)) + (x+ ((x*12*2)/100) ) + x = 1260   =((28x/25) + (31x/25) + x) = 1260 ïƒ› (28x+31x+25x)=(1260*25)   x= (1260*25)/84 = Rs.375.   Therefore,	Each installment = Rs. 375.   Answer is 375.
Answer: D
x = y - (20/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will Pick one:  A) decrease  B) stay the same  C) increase four fold  D) double  E) triples

Solution: Alternate approach   Plug in some values of y > 0   Let y = 10   So, x = y - (20/y)   Or, x = 10 - (20/10)= 
10 - (20/10) = 8
8   Let y= 20   So, x = y - (20/y)   Or, x = 20 - (20/20)= 
20 - (20/20) = 19
19   So, x increases from 8 to 19   Hence the number increases 2.2 times, thus the correct answer will be (double)
Answer: D
The area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm. What is the perimeter of the square?  Choose the correct choice
A) 100
B) 800
C) 500
D) 600
E) 700

Solution: Area of the square = s * s = 5(25 * 5)   => s = 25 cm   Perimeter of the square = 4 * 25= 
4 * 25 = 100
100 cm.   100nswer: Option 100
Answer: A
If 75 percent of a class answered the first question on a certain test correctly, 45 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?  Choose the correct choice from the following answers:
A) 10%
B) (8) 40%
C) 30%
D) 50%
E) 65%

Solution: I didn't understand how to connect 20 percent with the whole equation.   Why 20 is out of the percentile diagram (circles) but inside of 100?   20% appeared in the exam; however did not answer Question AQuestion B correctly   So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose   I am doing it this way:   Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.   Now,   100 - [(75 - x) + x + (45 - x)] = 20 .......... values are in percent   x = 20 - 100 + 120= 
20 - 100 + 120 = 40
40   Ans: (8) 40%
Answer: B
A sum of money deposited at C.I. amounts to Rs.9000 in 10 years and to Rs.9990 in 11 years. Find the rate percent? Choose the correct option:
A) 9%  B) 10%  C) 11%  D) 12%  E) 13%

Solution: 9000 --- 990   100 --- ? => 11%   Answer: 11%
Answer: C
In a kilometer race, A beats B by 25 meters or 10 seconds. What time does A take to complete the race?
Pick one.
A) 180 sec  B) 190 sec  C) 290 sec  D) 490 sec  E) 390 sec

Solution: Time taken by B run 1000 meters = (1000 * 10)/25= 
(1000 * 10)/25 = 400
400 sec.   Time taken by A= 400 - 10= 
400 - 10 = 390
390 sec.   Answer:390 sec
Answer: E
What is the most powerful tool used by the Reserve Bank of India to control inflation?	Pick one:
A) FDS  B) Reduce interest rates  C) Raise interest rates  D) Raise current supply  E) Reduce current supply

Solution: Explanation:   No explanation is available for this question!   ANSWER:Raise interest rates
Answer: C
A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 49 grams of protein daily, how many grams of food X are in the mixture?
Pick one
A) 160
B) 180
C) 200
D) 220
E) 240

Solution: Let x be the number of grams of food X in the mixture.   0.1x + 0.15(400-x) = 49   0.05x = 11   x = 220   The answer is 220.
Answer: D