divelab/Sys2Bench huggingface dataset:
Question: The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 60 feet on a side. What will be the volume of the new building in cubic feet?
Options:
A)3,937,500 cubic feet
B)6,619,898 cubic feet
C)11550√3 cubic feet
D)15,750√3 cubic feet
E)3,937,500√3 cubic feet
Rationale: Volume of the Hexagon with side 200 and height 70 = Area * height
= 6*(sqrt(3)/4)(200^2)(70)
Volume of the center bull's eye that is similar in shape of a hexagon but side 60
= 6 * (sqrt(3)/4)(60^2)*70
Volume of the building = 6*(sqrt(3)/4)(200^2)(70) - 6 * (sqrt(3)/4)(60^2)*70=6,619,898
Answer is B
Answer: B
Question: Abhishek starts to paint a fence on one day. On the second day, two more friends of Abhishek join him. On the third day 3 more friends of him join him and so on. If the fence is completely painted this way in exactly 20 days, then find the number of days in which 10 girls painting together can paint the fence completely, given that every girl can paint twice as fast as Abhishek and his friends(Boys)? (Assume that the friends of Abhishek are all boys).
Options:
A)20
B)40
C)45
D)77
E)87
Rationale: Number of men working on first day = 1
Number of men working on second day = 3
Number of men working on second day = 6 and so on..
Total number of boys till the end of the work = [n(n + 1) (n + 2)] / 6
= [20 x 21 x 22] / 6 = 1540
Given that every girl paints twice as fast as Abhishek’s friends.
Hence, 20 girls work is being done.
Thus, the number of days taken to paint the fence = 1540/20 = 77.
ANSWER:D
Answer: D
Question: If the sum of two numbers is 22 and the sum of their squares is 460, then the product of the numbers is
Options:
A)40
B)44
C)12
D)88
E)48
Rationale: according to the given conditions x+y = 22
and x^2+y^2 = 460
now (x+y)^2 = x^2+y^2+2xy
so 22^2 = 460 + 2xy
so xy = 24/2 =12
ANSWER:C
Answer: C
Question: Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 10 scones must be equal to which of the following?
Options:
A)Y/4
B)200/Y
C)100Y/(6X)
D)XY/200
E)Y/(5X)
Rationale: Rachel eats 4 scones/10 minutes = 2/5 scones per minute
The time for Rachel to eat 1 scone is 5/2 minutes.
The time for Rachel to eat Y scones is 5Y/2 minutes.
The time for Henry to eat X scones is 5YX/200 minutes.
The time for Henry to eat 1 scone is 5Y/200 minutes.
The time for Henry to eat 10 scones is 50Y/200 = Y/4 minutes.
The answer is A.
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Options:
A)337
B)375
C)297
D)266
E)291
Rationale: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
75 ----- ? => 375
Answer: B
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.62000?
Options:
A)81000
B)78468.75
C)81008
D)81066
E)81022
Rationale: 62000* 9/8 * 9/8 = 78468.75
Answer:B
Answer: B
Question: A train 110 m long is running with a speed of 80 km/h. In how many seconds will the train pass a man who is running at 8 km/h in the direction opposite to that in which the train is going?
Options:
A)3.5
B)4.5
C)5.5
D)6.5
E)7.5
Rationale: The speed of the train relative to the man = 80 + 8 = 88 km/h.
88000 m/h * 1h/3600 s = (880/36) m/s
(110 m) / (880/36 m/s) = (110 * 36) / 880 = 36/8 = 4.5 seconds
The answer is B.
Answer: B
Question: The arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
Options:
A)10.5
B)11
C)11.5
D)12
E)12.5
Rationale: The value which isexactlytwo SD less than the mean is:mean-2*SD=14.5-2*1.5=11.5.
Answer: C.
Answer: C
Question: An company has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Options:
A)10
B)12
C)15
D)24
E)30
Rationale: An company has 6 employees;for male 1C1 = 1 ........ A
foe female = 5C2 = 10.........B
total = 10*1
= 10 - answer=A
Answer: A
Question: A person takes 5hrs 45 min in walking to a place and ridingback. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
Options:
A)6 hours 23 min
B)6 hours 40 min
C)7 hours
D)7 hours 45 min
E)8 hours
Rationale: ----------------------------------------------------------------
Solution 1
----------------------------------------------------------------
Given that time taken for riding both ways will be 2 hours lesser than
the time needed for waking one way and riding back
From this, we can understand that
time needed for riding one way = time needed for waking one way - 2 hours
Given that time taken in walking one way and riding back = 5 hours 45 min
Hence The time he would take to walk both ways = 5 hours 45 min + 2 hours = 7 hours 45 min
In fact, you can do all these calculations mentally and save a lot of time
which will be a real benefit for you.
D
Answer: D
Question: How many different three letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Options:
A)59
B)11!/(2!*2!*2!)
C)56
D)54
E)11!/(3!*2!*2!*2!)
Rationale: E- -R
We are left with the following 11 letters: {M, D, I, T, R, EE, AA, NN} out of which 8 are distinct: {M, D, I, T, R, E, A, N}.
We should consider two cases:
1. If the two middle letters are the same, we'd have 3 words: EEER, EAAR and ENNR.
2. If the two middle letters are distinct, then we are basically choosing 2 letters out of 8 when the order of the selection matters, so it's 8P2 = 56.
Total = 56 + 3 = 54.
Answer:D
Answer: D
Question: The cost of carpeting a room 18m long with a carpet 75cm wide at 45 paise per meter is Rs.81. The breadth of the room is:
Options:
A)7m
B)7.5m
C)5.5m
D)6.5m
E)8.5m
Rationale: Length of the carpet= Total cost/ rate/m= 8100/45=180m
Area of the carpet= 180*75/100= 135m2
Breadth of the room = (Area/ length)= 135/18= 7.5m
ANSWER:B
Answer: B
Question: A bus has 40 seats and the passengers agree to share the total bus fare among themselves equally. If the total fair is 80.67 , find the total no of the seats unoccupied
Options:
A)34
B)35
C)36
D)37
E)38
Rationale: passengers will occupy 3 seats, per head amount payable will be 26.89. Rupees 80.67 can not be divisible other than 3
so the, Number of occupied seats will be 3
unoccupied seats will be 40-3=37
ANSWER:D
Answer: D
Question: Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent Z of the lights that are on are supposed to be off?
Options:
A)22(2/9)%
B)16(2/3)%
C)11(1/9)%
D)10%
E)5%
Rationale: Is the Answer D.
let me try..
Let the light which are supposed to be OFF = SO
Let the light which are supposed to be ON = SN
Let the light which are ACTUALLY OFF = AO
Let the light which are ACTUALLY ON = AN
Let the total no. of lights be 100,
So ACTUALLY ON lights = 80
And ACTUALLY OFF lights = 20
Also given >> forty percent of the lights that are supposed to off are actually on >>> (40/100)*SO are ACTUALLY ON
it means >>> (60/100)*SO are ACTUALLY OFF
Also given >> ten percent of the lights that are supposed to be on are actually off >>> (10/100)*SN are ACTUALLY OFF
it means >>> (90/100)*SN are ACTUALLY ON
So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80
and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80
From here we get SO = 20
we need to find: What percent of the lights that are on are supposed to be off >>> So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8.
So (8/80)*100 Z= 10%.D
Answer: D
Question: Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success. Rohit once bought a Ferrari. It could go 4 times as fast as Mohan’s old Mercedes. If the speed of Mohan’s Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.
Options:
A)3.5
B)3.9
C)3.2
D)3.1
E)3.7
Rationale: As Ferrari's speed is four times that of the mercedes, Its speed is 35 x 4 = 140
So time taken by the ferrari = 490 / 140 = 3.5 Hours
Answer:A
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Options:
A)3630
B)2882
C)2781
D)2771
E)9121
Rationale: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
Answer: A
Answer: A
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 9
Tennis 5
Baseball 4
Options:
A)6
B)9
C)11
D)12
E)17
Rationale: X = 9 + 5 + 4 - (3 + 2 + 1) = 12
Answer is D
Answer: D
Question: How many quarters are equal to 3 dollars?
Options:
A)1
B)8
C)12
D)9
E)7
Rationale: 3*4 = 12 quarters
Answer : C
Answer: C
Question: There are 13 South American countries, Annry has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Annry choose from?
Options:
A)13.12.11.10.4.4.
B)13.12.11.10.4
C)13.12.4.4.
D)13.12.4
E)13.13.13.13
Rationale: flights paths can Annry choose from There are 13 ways to chose the first destination,
then, 12 ways to chose next destination, with option of 4 airports (13x4)
then, to return he has 4 options to chose the airports
Thus, 13*12*4*4 ways.
Using permutations:
If the solution had written 13P1 instead of 13C1 it won't matter. As per the definition - making arrangements of the combinations gives permutations.
Since there are no arrangement for 1 item, permutationscombinations are equal.C
Answer: C
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Options:
A)22 years
B)77 years
C)66 years
D)55 years
E)44 years
Rationale: T = (100 * 16500)/(15 * 5000) = 22 years.Answer:A
Answer: A
Question: Joanna buys an article for rs.13.00 and sells it for rs.14.00. Find her gain %.
Options:
A)8.32%
B)4%
C)7.69%
D)16%
E)5.36%
Rationale: sol. cp=rs13.00, sp=rs 14.00
gain=rs(14.00 –13.00)=rs1.00
so gain%={(1.00/13.00)*100}=4%
Answer is C.
Answer: C
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 15 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Options:
A)450.
B)459.
C)432.
D)502.
E)522.
Rationale: Pastry is divided in 15 customers equally. So,total number of pastry must be a multiple of 15
Only option A satisfies the condition, and hence is the answer
Answer: A
Question: The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 10 terms of the sequence?
Options:
A)201/100
B)99/100
C)100/101
D)1/10000
E)10/11
Rationale: Easy task and accomplish
X1=1-1/2
x2=1/2-1/3
x3=1/3-1/4
.....
x10=1/10-1/11
sum=X1+X2+X3+....X10=1-1/2+1/2-1/3+.......1/99-1/100+1/10-1/11=1-1/11=10/11
E is the answer
Answer: E
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Options:
A)3
B)4
C)1
D)5
E)2
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
ANSWER:A
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)78
B)54
C)36
D)34
E)23
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (180 + 180)/12 => x = 15
Speed of each train = 15 m/sec.
= 15 * 18/5 =54 km/hr.
Answer: Option B
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
Options:
A)6 months
B)3 months
C)2 months
D)8 months
E)9 months
Rationale: Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months.
Answer: D
Answer: D
Question: If (1-x)y=y, which of the following must be true?
Options:
A)x=-0 or y=0
B)x=-1 or y=0
C)x=1 or y=1
D)x=-1 or y=-1
E)x=0 or y=1
Rationale: We have (1-x)y=y.
If x=0, y=y. True
If y=0, (1-x)*0=0 True
So, A will be the answer.
Answer: A
Question: The average (arithmetic mean) of eight numbers is 41.5. If the sum of half of these numbers is 154.4, what is the average of the other half?
Options:
A)39.9
B)41.1
C)44.4
D)49.9
E)56.6
Rationale: The average of this half is 154.4/4 = 38.6
This is 2.9 below the overall average, thus the average of the other half of the numbers must be 2.9 above the overall age, that is 41.5+2.9 = 44.4
The answer is C.
Answer: C
Question: Find a sum for 1st 9 prime number's?
Options:
A)25
B)28
C)30
D)34
E)100
Rationale: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23) = 100
Note: 1 is not a prime number
Option E
Answer: E
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Options:
A)8
B)10
C)12
D)13
E)15
Rationale: Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
Answer: D
Question: In Town X, 64 percent of the population are employed, and 44 percent of the population are employed males. What percent of the employed people in Town X are females?
Options:
A)16%
B)25%
C)32%
D)31%
E)52%
Rationale: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 44 are employed males, hence 20% are employed females.
(employed females)/(total employed people)=20/64=1/4=31%
Answer: D.
Answer: D
Question: Find out the wrong number in the series.
6, 12, 48, 100, 384, 768, 3072
Options:
A)768
B)384
C)100
D)488
E)12
Rationale: Each even term of the series is obtained by multiplying the previous term by 2.
2nd term = (1st term) x 2 = 6 x 2 = 12
4th term = (3rd term) x 2 = 48 x 2 = 96.
6th term = (5th term) x 2 = 384 x 2 =768.
4th term should be 96 instead of 100.
ANSWER:C
Answer: C
Question: John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?
Options:
A)1/2
B)1/3
C)1/5
D)2/15
E)4/15
Rationale: John will run farther if he runs at 5 mph and Amanda runs at 4 mph or 3 mph.
In this case, P(John runs farther) = 1/3 * 2/5 = 2/15
John will run farther if he runs at 4 mph and Amanda runs at 3 mph.
In this case, P(John runs farther) = 1/3 * 1/5 = 1/15
P(John runs farther) = 2/15 + 1/15 = 3/15 = 1/5
The answer is C.
Answer: C
Question: 70 is increased by 50%. Find the final number.
Options:
A)100
B)110
C)105
D)30
E)160
Rationale: Final number = Initial number + 50%(original number) = 70 + 50%(70) = 70 + 35 = 105.
Answer C
Answer: C
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Options:
A)10 Yrs
B)20 yrs
C)30 yrs
D)35 yrs
E)40 yrs
Rationale: Option A
Explanation:
100 ---- 100 --- 10
100 --- 10
--------------------
300 ---- 20 years
ANSWER B
Answer: B
Question: The product Z of two prime numbers is between 16 and 40. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is Z?
Options:
A)21
B)22
C)28
D)35
E)39
Rationale: The smallest possible product is 39 which is 3*13.
All other products are too big.
The answer is E.
Answer: E
Question: If SAGE is coded as 4657 and COT is coded as 333. How is GATE coded?
Options:
A)5637
B)5367
C)5763
D)6573
E)6753
Rationale: g-5 a-6 e-7 from the code gate
t - 3 from bat
ANSWER:A
Answer: A
Question: It is required to seat 4 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Options:
A)572
B)578
C)570
D)576
E)577
Rationale: Total number of candidates = 4 + 4 = 8. In the row of 8 positions, the even places are 2nd, 4th, 6th and 8th.
Now, number of even places = 4.
Number of girls to occupy the even places = 4.
Even places can be filled = P (4, 4) ways.
Number of boys = 4.
The remaining 4 places can be filled by 4 boys = P (4, 4) ways
By the fundamental principle of counting:
The required number of seating arrangements
P(4, 4) x P(4, 4) = 4! x 4! = 24 x 24 = 576
ANSWER:D
Answer: D
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)17 km/hr
B)89 km/hr
C)36 km/hr
D)89 km/hr
E)82 km/hr
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12 => x = 10
Speed of each train = 10 m/sec.
= 10 * 18/5 =- 36 km/hr.
Answer: C
Answer: C
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Options:
A)1/3
B)1/9
C)1/2
D)1/7
E)1/5
Rationale: Explanation:
Total number of balls = (8 + 7 + 6) = 21.
Let E = event that the ball drawn is neither red nor green
= event that the ball drawn is blue.
n(E) = 7.
P(E) = n(E)/n(S) = 7/21 = 1/3.
Answer: A) 1/3
Answer: A
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
Options:
A)4.7
B)3.6
C)4.9
D)5.0
E)4.4
Rationale: A
4.7
In this simple addition series, each number increases by 0.8.
Answer: A
Question: If a = x/(x - 1) and b = 1/(x - 1), then
Options:
A)a < b
B)a > b
C)a = b
D)a + b = 1
E)None of these
Rationale: Explanation:
a = x/(x - 1) = 1 + 1/(x - 1) = 1 + b
a > b
Answer: Option B
Answer: B
Question: Ben is driving on the highway at z miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
Options:
A)5,280(z/y)
B)5,280(y/x)
C)5,280(xy)
D)5,280/(xy)
E)(xy)/5,280
Rationale: In one hour, at the rate of z miles per hour, Ben covers z miles, so 5,280z feet.
The number of revolutions = distance/circumference = 5,280z/y.
Answer: A.
Answer: A
Question: The grade point average of one third of the classroom is 15; the grade point average of the rest is 18. What is the grade point average of the whole class?
Options:
A)17
B)19
C)21
D)23
E)25
Rationale: Let n=total students in class
total points for 1/3 class=15n/3=5n
total points for 2/3 class=18*2n/3=12n
total points for whole class=5n+12n=17n
17n total class points/n total students=17 grade point average for total class
Answer : A
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 15% profit?
Options:
A)2000
B)2778
C)1840
D)2778
E)2771
Rationale: Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 115 % of Rs. 1600 = 115/100 * 1600 = Rs. 1840.
Answer:C
Answer: C
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $12.00 each, what was Company C’s gross profit?
Options:
A) $2,250
B) $2,500
C) $4,100
D) $3,250
E) $4,500
Rationale: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 12 = $6000
Profit: 6000 - 1900 = $ 4100
Option C is correct
Answer: C
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a green shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Options:
A)22
B)42
C)52
D)62
E)71
Rationale: The correct answer should not take the form: 5x + 2. Hence, it is E
Answer: E
Question: The total of company C's assets in 1994 was 300% greater than the total in 1993, which in turn was 500% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Options:
A)7N
B)8N
C)9N
D)24
E)20
Rationale: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.
In 1993, the total assets were 500% GREATER, which means 1992 PLUS 500% of 1992:
$100 + 5x$100 = $100 + $500 =$600
In 1994, the total assets were 300% GREATER than they were in 1993, which means 1993 PLUS 300% of 1993:
$600 + 3x$600 = $600 + $1800 =$2400
This is 24 times the 1992 number, so the correct answer is 24N.
D
Answer: D
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
Options:
A)5%
B)8%
C)12%
D)15%
E)18%
Rationale: S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 5 years = Rs.(2205x5)/3= Rs. 3675
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = (100 x 3675)/(6125x5)	%	= 12% ANSWER :C
Answer: C
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
Options:
A)3.34
B)3.36
C)3.76
D)3.88
E)3.22
Rationale: Explanation:
Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: Option A
Answer: A