MU-NLPC/Calc-aqua_rat huggingface dataset:
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest? Choices:
A) 5
B) 6
C) 7
D) 1
E) 89

Solution: Let rate = R% and time = R years.   Then, (1200 * R * R) / 100 = 432   12R2 = 432   R2 = 36 => R = 6.   Answer:6
Answer: B
If 6 Men or 8 Women take 6 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please? The OA is 9/4  Select:
A) 1. 36/11 days
B) 2. 2 Days
C) 3. 9/4 days
D) 4.5/2 days
E) 5.3 days

Solution: 6 men or 8 women takes 6 days to complete the work   So 6M = 8W   W = 3/4M   1 man in 1 day does 1 unit of work   so 6 M in 6 M = 36 units of work   now 8 M and 4 W = 8M + 4(3/4)M   = 8M + 3M   = 11M   Since both set do the same work   11M in n Days 8  + 3= 
8  + 3 = 11
11M   Since both set do the same work   11M in n Days= 36 units of work   n = 36 /11 days.   1. 36/11 days
Answer: A
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 77, the three numbers in order are?
Choose the correct choice from the following answers.
A) 33, 66, and 132
B) 33, 132, and 66
C) 66, 33, and 132
D) 66, 132, and 33
E) 132, 33, and 66

Solution: Let the numbers be 2x, x and 4x   (2x + x + 4x)/3 = 77   7x/3 = 77   x = 33   The numbers in order are 66, 33, and 132   The answer is 66, 33, and 132.
Answer: C
If 6/w + 6/x = 6/y and wx = y, then the average (arithmetic mean) of w and x is Pick one:
A) 1/2
B) 1
C) 2
D) 4
E) 8

Solution: Given: 6/w + 6/x = 6/ywx=y   Find: (w+x)/2 = ?   6(1/w + 1/x) = 6(1/y) - divide both sides by 6   (1/w + 1/x) = 1/y   (x+w)/wx = 1/wx - sub'd in y=wx   x+w - 1 = 0   x+w = 1   Therefore (w+x)/2 = 1/2   1/2ns: 1/2
Answer: A
Peter invests $100,000 in an account that pays 10% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 10% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have? Select:
A) $471.31 B) $4713.10 C) $47.13 D) $4.71 E) Zero

Solution: Peters interest= $100,000*0.10 = $10,000 or $833.33 each month.   Martha’s interest, 10%/12 = 0.833% each month:   For the 1st month = $100,000*0.00833 = $833.33;   For the 2nd month = $833.33 + 0.833% of 833.33 = ~$840, so we would have interest earned on interest (very small amount);   For the 3rd month = $840 + 0.833% of 840 = ~$847;   For the 4th month = $847 + 0.833% of 847 = ~$854;   ...   For the 12th month = $905 + 0.833% of 905 = ~$912.   The difference between Peters interest and Martha’s interest = ~(7 + 14 + ... + 77) = $462.   $471.31nswer: $471.31.
Answer: A
A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?	Choose the most appropriate option: A) 25 days B) 30 days C) 23 days D) 35 days E) 45 days

Solution: Work done by B in 1 day = 1/10 - 1/14   = (7-5)/70   = 1/35   So, B alone can do the work in 35 days.   ANSWER:35 days
Answer: D
Machine A working alone can complete a job in 12 hours. Machine A+B working alone can do the same job in 15 hours. How long will it take machine B working at their respective constant rates to complete the job?  Choose the correct answer
A) 80 B) 70 C) 60 D) 50 E) 90

Solution: Machines ( A ) ( B ) (A+B)   ---Time - 12 - ( - ) -(15)   ---Rate 5 --- 1 -- 4   --Work 60 --60 - 60   A+B = (60/1)= 
(60/1) = 60
60   60
Answer: C
Kim finds a 3-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choose the correct choice
A) 2/5  B) 3/5  C) 8/15  D) 1/2  E) 7/5

Solution: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be   2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15   Which gives us 2/5 + 1/15 + 2/15 -----> 3/5   Answer is 3/5
Answer: B
Of the votes cast on a certain proposal, 62 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)	Choose the correct choice from the following answers:
A) 280 B) 290 C) 300 D) 310 E) 320

Solution: Let x be the total number of votes cast.   0.6x = 0.4x + 62   0.2x = 62   x = 310   The answer is 310.
Answer: D
If [Y] denotes the least integer greater than or equal to Y and [Y] = 0, which of the following statements must be true? Choose the correct choice from the following choices
A) Y = 0  B) 0 <= Y < 1  C) 0 < Y <= 1  D) -1 < Y <= 0  E) -1 <= Y < 0

Solution: The answer for this is 0 < = Y< = 1   However it is not available in the options. The match to the above is-1 < Y <= 0   Answer = -1 < Y <= 0
Answer: D
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?	Select.
A) 20:9  B) 2:1  C) 3:2  D) 2:3  E) 5:3

Solution: Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000×12:27000×9   =45×12:27×9   =15×12:9×9   =20:9   20:9nswer is 20:9
Answer: A
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 28 metre of cloth ?  Choose the correct choice from the following:
A) 175 seconds  B) 219 seconds  C) 155 seconds  D) 115 seconds  E) 115 seconds

Solution: Explanation:   Let the time required by x seconds.   Then, More cloth means More time (Direct Proportion)   So,   0.128 : 1 :: 28 : x => x = {\color{219 secondslue} \frac{28\times 1}{0.128}}   => x = 218.75   So time will be approx 219 seconds   Answer: 219 seconds
Answer: B
Find the missing number in the given sequence : 1,5,9,13,?,21,25,?
Pick:  A) 14 & 26  B) 15 & 27  C) 16 & 28  D) 17 & 29  E) 15 & 30

Solution: 1+4= 
1+4 = 5
5   5+4= 
5+4 = 9
9   9+4= 
9+4 = 13
13   13+4= 
13+4 = 17
17   17+4= 
17+4 = 21
21   21+4= 
21+4 = 25
25   25+4= 
25+4 = 29
29   ANSWER:17 & 29
Answer: D
An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choose the correct choice:
A) 3/5 B) 5/9 C) 9/19 D) 4/9 E) 2/5

Solution: An empty wooden vessel weighs 20% of its total weight when filled with paint:   Vessel = 0.2(Vessel + Paint);   20V = V + P (so the weight of completely filled vessel is 10V)   P = 19V (so the weight of the paint when the vessels is completely filled is 9V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*20V;   P' = 9V (so the weight of the paint when the vessels is partially filled is 9V).   What fraction of the vessel is filled?   So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:   P'/P = 9V/19V = 9/19.   Answer: 9/19.
Answer: C
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choose the correct answer:
A) 3.6	B) 7.2	C) 8.4	D) 10	E) 12

Solution: Explanation:   Speed =	(600 / 5 X60)m/sec =2 m/sec.   Converting m/sec to km/hr = (2 X 18/5)km/hr   = 7.2 km/hr.   ANSWER IS 7.2
Answer: B
The average of first five prime numbers greater than 10 is?  Answers.
A) 16.6  B) 12.9  C) 31.3  D) 19.2  E) 15.7

Solution: 11 + 13 + 17 + 19 + 23= 
11 + 13 + 17 + 19 + 23 = 83
83/5= 
83/5 = 83/5 = around 16.6
16.6   16.6nswer: 16.6
Answer: A
If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate? Choose the correct choice from the following answers.
A) Rs.(xy/d)	B) Rs.(xd)	C) Rs.(yd)	D) Rs.(yd/x)	E) Rs.(yx)

Solution: Cost of x metres = Rs. d.   Cost of 1 metre = Rs.	d/x   Cost of y metres = Rs.((d/x)y)   = Rs.(yd/x)   Correct answer is Rs.(yd/x)
Answer: D
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 26%?	Select the correct option
A) 100 ml B) 60 ml C) 120 ml D) 130 ml E) 150 ml

Solution: we can also go by answer choices   Tke 100 ml for eg   400 (old)+100 (new concentr)ml     500*26/100= 
  500*26/100 = 130
130 ml (30ml is de old concentration +100 ml (newly added)   Answer 130 ml
Answer: D
A room of 6m 00cm long and 8m 00cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
A) 12	B) 200	C) 600	D) 800	E) 20

Solution: Explanation:   area of the room = 600 * 800 sq cm   size of largest square tile = H.C.F of 600cm and 800cm= 200cm   area of 1 tile = 200*200 sq cm   no. of tiles required = (600*800) / (200 *200)= 
(600*800) / (200 *200) = 12
12   12nswer: 12) 12
Answer: A
Which of the following is not divisible by 3? Choose the correct choice from the following options
A) 10394	B) 15363	C) 29340	D) 30753	E) 41715

Solution: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3   Option A: 10394, Sum = 17. Not divisible by 3. Hence the number 10394 is also not divisible by 3   Option B: 15363, Sum = 18, Divisible by 3   Option C: 29340, Sum = 18, Divisible by 3   Option D: 30753, Sum = 18, Divisible by 3   Option 41715: 41715, Sum = 18, Divisible by 3   Correct Option: 41715
Answer: E
A 21% stock yielding 10% is quoted at :	Choose the correct choice from the following choices:	A) 83.33	B) 210	C) 112	D) 120	E) 160

Solution: Solution   To earn Rs. 10, money invested = Rs. 100.   To earn Rs. 21, money invested = Rs.(100/10X21) = Rs. 210.   âˆ´ Market value of Rs. 100 stock =Rs. 210   Answer 210
Answer: B
Five years ago, the ratio of ages of P and Q was 3:2. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
Choose the correct choice from the following answers:  A) 20  B) 25  C) 30  D) 35  E) 40

Solution: 2(P-5)/3 = (Q-5). Then Q = 2(P-5)/3 + 5   5(P+10)/6 = Q+10   5(P+10)/6 = 2(P-5)/3 +15   5P+50 = 4P + 70   P = 20   The answer is 20.
Answer: A
Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 16 kmph and 20 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Pick:
A) 144
B) 36
C) 50
D) 32
E) 38

Solution: Time taken to meet the first time = length of track/relative speed   = 500/ (16+20) (5/18)   = 500/36 *(18/5)= 
500/36 *(18/5) = 50
50 sec.   Answer : 50
Answer: C
If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2 Choose the correct choice from the following choices:
A) I only	B) None	C) II only	D) III only	E) II and III

Solution: (I) a < b^2. Not necessarily true fractions: try a=1 and b=2.   (II) b − a < c. Not necessarily true: try a=-1, b=0, and c=1.   (III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.   None of the options must be true.   Answer: None.
Answer: B
If TIER is written as 7168 and BRAIN is written as 28415, how is RENT coded ?
Select:
A) 3653
B) 8657
C) 2977
D) 2790
E) 2711

Solution: Explanation:   Given :   Letter : T I E R B A N   Code : 7 1 6 8 2 4 5   Thus, the code for RENT is 8657.   ANSWER:8657
Answer: B
A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share? Choose the correct answer: A) $1000 B) $2000 C) $1800 D) $1500 E) $1600

Solution: A's share = 4500*2/15= 
4500*2/15 = 600
$600   B's share= 4500*4/15= 
4500*4/15 = 1_200
$1200   A+B= $1800   Answer is $1800
Answer: C
A manâ€™s current age is (2/5) of the age of his father. After 14 years, he will be (1/2) of the age of his father. What is the age of father at now?  Choose one.
A) 40  B) 45  C) 38  D) 50  E) 70

Solution: Let, fatherâ€™s current age is A years.   Then, Manâ€™s current age =[ (2/5)A ]years.   Therefore, [ (2/5)A + 14 ]= (1/2)(A + 14)   2(2A + 70) = 5(A + 14)   A = 70   70
Answer: E
At a meeting of 9 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?  Choose the correct choice.
A) 24,640
B) 27,820
C) 30,240
D) 33,120
E) 36,580

Solution: 9 people can be arranged around a table in 8! ways.   Consider the two chiefs who will not sit together as a single unit.   The number of ways to arrange 8 units around a table is 7!   We need to multiply this by 2 as the two people can be switched in each arrangement.   The total number of ways to arrange the chiefs is 8! - 2*7! = 6*7! = 30,240   The answer is 30,240.
Answer: C
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the student earned for the 20 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choose the correct choice from the following choices
A) (1) $120
B) (2) $320
C) (3) $378
D) (4) $240
E) (5) $296

Solution: 4+7+4+3+2= 
4+7+4+3+2 = 20
20   The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.   1st to 2nd term= 48 (2 days)   3rd to 5th term = 70 (3 days)   6th to 9th term = 80 (4 days)   10th to 16th term = 84 (7 days)   17th to 20th term = 96 (4 days)   total amount earned = 48+70+80+84+96= 
48+70+80+84+96 = 378
378   Pick (3) $378
Answer: C
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?	Choose one:
A) 42 and 33  B) 42, 36  C) 44, 33  D) 44, 36  E) None of these

Solution: Explanation :   Let the marks secured by them be x and (x + 9)   Then sum of their marks = x + (x + 9) = 2x + 9   Given that (x + 9) was 56% of the sum of their marks   => (x + 9) = (56/100)(2x + 9)   => (x + 9) = (14/25)(2x + 9)   => 25x + 225 = 28x + 126   => 3x = 99   => x = 33   Then (x + 9) = 33 + 9= 
33 + 9 = 42
42   Hence their marks are 33 and 42   42 and 33nswer : Option 42 and 33
Answer: A
The digit in unit's place of the product (459 ×46×28×484) is 2, the digit in place of * is  Choose one
A) 3  B) 5  C) 7  D) 9  E) 11

Solution: Solution   (9×6×4)	= 216.   In order to obtain 2 at the unit place, we must multiply 216 by 2 or 7.   Answer 7
Answer: C
A cricket bat is sold for $850, making a profit of $205. The profit percentage would be	Choose one: A) 24% B) 25% C) 32% D) 36% E) 40%

Solution: 205/(850 - 205) = 205/645 = 41/129=32%.   Answer: 32%.
Answer: C
Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
Choose the correct option
A) 78  B) 90  C) 36  D) 34  E) 23

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (300 + 300)/12 => x = 25   Speed of each train = 25 m/sec.   = 25 * 18/5= 
25 * 18/5 = 90
90 km/hr.   Answer: Option 90
Answer: B
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
Choose the correct choice from the following options:
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Write equation in N as follows   N + 1/N = 78/15   Multiply all terms by N, obtain a quadratic equation and solve to obtain N = 5.   correct answer 5
Answer: A
Which of the following no must added to 5678 to give a remainder of 35 when divided by 460?	Choose the correct answer
A) 955 B) 797 C) 618 D) 980 E) 680

Solution: To get a remainder of 35 while dividing by 460 , the number should have 5 at the unit digit. 5678 ends with 8. so amongst the options the number which when added with 5678 gives 5 at the unit place will be the ans. Here 797+5678= 
797+5678 = 6_475
6475 , so (b) is the correct option.   ANSWER:797
Answer: B
An article costing rs.160 is sold at 5% discount on a mark-up price. What is the selling price after
discount?
Pick one
A) 106 B) 116 C) 126 D) 136 E) 152

Solution: Rs. 136   160-(160*15/100)=160*95/100= 
160*95/100 = 152
152   ANSW152R:152
Answer: E
A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 45-sided polygon have?	Pick one.
A) 875 B) 945 C) 1425 D) 2025 E) 2500

Solution: There's a direct formula for this.   Number of diagonals in a regular polygon = [n*(n-3)] / 2, n = number of sides of the regular polygon.   Here, n = 45.   Plugging it in, we get 945 diagonals!   Answer (945).
Answer: B
Dany bought a total of 22 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?	Options:
A) 4
B) 10
C) 7
D) 8
E) 13

Solution: Let X be the number of cards that cost $0.25 each and Y the number of cards that cost $0.15 each. The total number of cards is 22. Hence   X + Y = 22   If X is the number of cards at $0.25, then the X cards cost   0.25 X   If Y is the number of cards at $0.15, then the Y cards cost   0.15 Y   The total cost of the X cards and the the Y cards is known to be $4.2 and also given by   0.25 X + 0.15 Y = 4.2   We now need to solve the system of equations   X + Y = 22   0.25 X + 0.15 Y = 4.2   The first equation gives Y = 22 - X. Substitute y by 22 - x in the second equation and solve   0.25 X + 0.15 (22 - X) = 4.2   X(0.25 - 0.15) + 3.3 = 4.2   0.1 X = 0.9   X = 9 and Y = 22 - 9= 
22 - 9 = 13
13   correct answer 13
Answer: E
A shipment of 8 TV sets contains 3 black and white sets and 5 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Select:
A) 1/7	B) 1/4	C) 9/14	D) 11/28	E) 13/28

Solution: 5/8 * 4/7 = 20/56   1-(20/56) = 36/56 = 9/14   Answer 9/14
Answer: C
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 30, find the number?
Pick one.
A) 11201
B) 12102
C) 12081
D) 12108
E) 10126

Solution: 12108   12108   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 30 => b = 10   So a = 12 and b = 8   Hence the three digit number is: 12108
Answer: D
Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, F, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X? Choose the correct answer.
A) 14 B) 16 C) 17 D) 20 E) 26

Solution: Since 11Y = Even therefore Y has to beEVENsince 11 is a odd integer (Even * Odd = Even)   Similarly, Y is the product of all integers in set X But all integers in Set X are odd except the unknown F and since X contains only prime numbers, F has to equal to 2... ( 2 is the only even prime number and the product of all prime numbers in set X has to be Even, Even * Odd = Even)   Since you know value of F you can calculate the range = Largest integer in the set minus Smallest integer in the set = 19-2= 
19-2 = 17
17   Answer is 17
Answer: C
Dylan is on a road trip. He planned on arriving at his destination, 2150 miles away, in 6 days. In the first day, he traveled 310 miles. In the next three days, he travels 1140 miles. How many miles, on average, does Dylan need to travel in the next two days to reach his destination?  Options.
A) 330	B) 340	C) 350	D) 360	E) 370

Solution: He still has to travel 2150 - 300 - 1130= 
2150 - 300 - 1130 = 720
720 miles   720 miles / 2 days= 360 miles per day.   Correct answer 360
Answer: D
man is 36 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Pick one:
A) 14years	B) 26 years	C) 17 years	D) 34 years	E) 22 years

Solution: Let the son's present age be x years. Then, man's present age = (x + 20) years.   (x + 36) + 2 = 2(x + 2)   x + 38 = 2x + 4   x = 34.   answer :34 years
Answer: D
If n is a positive integer and n^2 is divisible by 212, then the largest positive integer that must divide n is Choose one:
A) 6	B) 12	C) 24	D) 36	E) 48

Solution: The question asks aboutthe largest positive integer that MUST divide n, not COULD divide n. Since the least value of n for which n^2 is a multiple of 72 is 12 then the largest positive integer that MUST divide n is 12.   Complete solution of this question is given above. Please ask if anything remains unclear.   I spent a few hours on this one alone and I'm still not clear. I chose 12 at first, but then changed to 48.   I'm not a native speaker, so here is how I interpreted this question:the largest positive integer that must divide n=the largest positive factor of n. Since n is a variable (i.e. n is moving), so is its largest factor. Please correct if I'm wrong here.   I know that if n = 12, n^2 = 144 = 2 * 72 (satisfy the condition). When n = 12, the largest factor of n is n itself, which is 12. Check: 12 is the largest positive number that must divide 12 --> true   However if n = 48, n^2 = 48 * 48 = 32 * 72 (satisfy the condition too). When n = 48, the largest factor of n is n itself, which is 48. Check: 48 is the largest positive number that must divide 48 --> true   So, I also notice that the keyword isMUST, notCOULD. The question is, why is 48 notMUST divide 48, but instead onlyCOULD divide 48? I'm not clear right here. Why is 12MUST divide 12? What's the difference between them?   Only restriction we have on positive integer n is that n^2 is divisible by 72. The least value of n for which n^2 is divisible by 72 is 12, thus nmustbe divisible by 12 (n is in any case divisible by 12). For all other values of n, for which n^2 is divisible by 72, n will still be divisible by 12. This means that n is always divisible by 12 if n^2 is divisible by 72.   Now, ask yourself: if n=36, is n divisible by 48? No. So, n is not always divisible by 48.   36
Answer: D
In a 280 meters race A beats B by 56 m or 7 seconds. A's time over the course is: Choose the correct choice from the following answers:	A) 22 seconds	B) 12 seconds	C) 10 seconds	D) 18 seconds	E) 28 seconds

Solution: B runs 56 m in 7 sec.   => B runs 280 m in 7/56*280= 
7/56*280 = 35
35 seconds   Since A beats B by 7 seconds, A runs 280 m in (35-7)= 
(35-7) = 28
28 seconds   Hence, A's time over the course= 28 seconds   ANSW28 secondsR:28 seconds
Answer: E
Find the average of the series : 212, 152, 142, 132 and 112?  Pick one.
A) 129 B) 150 C) 267 D) 207 E) 174

Solution: Average = (212+152+142+132+112)/5   = 750/5= 
750/5 = 150
150   Answer: 150
Answer: B
There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?  Choose the correct option
A) 5/4 B) 5/7 C) 5/3 D) 5/8 E) 5/1

Solution: Let the two numbers be x and y.   20/100 * x + y = 5/4y   => 1/5 x = 1/4 y => x/y   = 5/4   5/4nswer: 5/4
Answer: A
In a hostel, the number of students decreased by 15% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year? Choices:	A) 19%	B) 15%	C) 25%	D) 40%	E) 1.96%

Solution: Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)   Originally,   C = FNP   When number of students decrease by 15%, and the price of food increases by 20%,   C = F(new) * (0.85N) * (1.2P)   => F(new) = F/(0.85*1.2)   => F(new) = 0.9804F   Therefore the new cost of food must be 98.04% of the old cost, or the cost of food must decrease by 1.96% (option 1.96%)
Answer: E