divelab/Sys2Bench huggingface dataset:
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 80 percent. At the same time, it decreased its total working hours by 10 percent. By what percent did this factory increase its output per hour?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: Lets assume the initial production was 100 litres of beer for 100 hr.
With the 80% increase the total amount of beer production will be 180 litres and with 10 % decrease in total hours will be reduced to 90 hr.
100hr ----> 100 lts
1hr -----> 1 lts
90hr -----> 180 lts
1hr -----> 2 lts
Total Increase in production for 1 hr = 200%
Answer B
Answer: B
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)1.7
B)1.4
C)1.1
D)1.5
E)1
Rationale: M = 3
S = x
DS = 3 + x
US = 3 + x
3 + x = (3 - x)2
3 + x = 6 -2x
3x = 3
x = 1
Answer:E
Answer: E
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 40% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Options:
A)36%
B)60%
C)66%
D)80%
E)84%
Rationale: Chris won't be able to attend the game if it be raining on Monday evening and Tuesday evening. The probability of that is 0.4*0.4 = 0.16. So, the probability that he will be able to attend is 1 - 0.16 = 0.84.
Answer: E.
Answer: E
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Options:
A)30
B)840
C)240
D)480
E)960
Rationale: Total # of outfits = 12 * 10 * 7 = 840
Answer - B
Answer: B
Question: There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?
Options:
A)3
B)12
C)18
D)24
E)27
Rationale: Total Students = 36
One third of the students are boys = 1/3*36 = 12
One fourth of the boys are under six feet tall = 1/4*12 = 3 ...
Therefore Number of boys in the class under six feet tall = 3 ... Answer A....
Alternatively... Number of boys in the class under six feet tall = 1/4 of 1/3 of Total Students = 1/4*1/3*36 = 3...
Answer A
Answer: A
Question: John and Jacob set out together on bicycle traveling at 15 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Options:
A)3
B)3 1/3
C)3 1/2
D)4
E)1 1/4
Rationale: John's speed - 15 miles/hr
Jacob's speed - 9 miles/hr
After 40min (i.e 2/3hr), distance covered by John = 15x2/3 = 10 miles.
Jacob continues to ride for a total of 1hour and 40min (until John's bike is repaired). Distance covered in 1 hour 40min (i.e 5/3hr) = 9x5/3 = 15 miles.
Now, when John starts riding back, the distance between them is 7.5 miles. Jacob and John are moving in the same direction.For John to catch Jacob, the effective relative speed will be 15-9 = 6 miles/hr.
Thus, to cover 7.5 miles at 6 miles/hr, John will take 7.5/6 = 1.25 hours
Answer E
Answer: E
Question: Five marbles are randomly selected, one at a time (without return), from a bowl of 100 marbles (20 green, 30 blue, 10 yellow, and 40 black). What is the probability that all five marbles are black? (Answer in lowest terms).
Options:
A)201/125
B)9139/1045660
C)11350/146790
D)21/75
E)2/5
Rationale: Let K = black. The bowl has 40 black marbles (we don't care what color the other marbles are because success is black only), so the probability of getting black is P(K) = 40/100 on the first selected marble.
Because selection is (without return), the P(K) has changed for following selections. Now, there are 99 marbles and black is dependent upon whether first marble was black, or not... and so on.... Therefore, conditional probability! The probability that event B occurs, given that event A has already occurred is:
Formula = P(A\B) = P(A and B)/P(B).
P(A\B) = (40/100)(39/99)(38/98)(37/97)(36/96) = 78960960/9034502400 = 9139/1045660
Answer: B
Answer: B
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
Options:
A)1
B)9000
C)9001
D)90001
E)None
Rationale: Solution
Required remainder	= (10000 - 999)
=9001
Answer C
Answer: C
Question: Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
Options:
A)51
B)39
C)23
D)15
E)None
Rationale: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: Option D
Answer: D
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
Options:
A)110
B)120
C)130
D)140
E)None of these
Rationale: Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(132 - x)
=� (x*5*2/100) = 132 - x
=� 10x = 13200 - 100x
=� 110x = 13200
x= 120
Answer: B
Answer: B
Question: With what number must 0.580 be multiplied in order to obtain the number 580?
Options:
A)100
B)1,000
C)10,000
D)100,000
E)None of these
Rationale: Explanation: The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.
Answer : (B)
Answer: B
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
A)127 days
B)667 days
C)177 days
D)187 days
E)225 days
Rationale: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/6
15 women's 1 day work = (1/6 - 10/100) = 1/15
1 woman's 1 day work = 1/225
1 woman alone can complete the work in 225 days.
Answer:E
Answer: E
Question: A School Bus is used to transport students from home to college. There are total of 20 students who want to take the bus. There are 10 seats in the bus. 2 in the front row, 4 in the middle row and 4 in the last row. Bus driver has to make sure that front 2 seats are for nausea students. 4 students have nausea and can only sit in the front 2 seats. How many ways can the students sit in the bus.
Options:
A)100068
B)24443
C)2392329
D)445678
E)5405400
Rationale: 4C2 Select 2 students from 4 who have nausea and can sit in front seats only.
16C4 Select 4 students from 16 who have to sit in middle row. (As 4 students who have nausea cannot sit anywhere else/ 20-4 = 16)
12C4 Select 4 students who will sit in the last row. (As 4 students who have nausea cannot sit anywhere else. 4 are sitting in the middle row. 20-4-4 = 12)
Total Number of selection = 4C2 * 16C4 * 12C4 = 5405400
Ans = E
Answer: E
Question: Percentage of profit earned by selling a book e for $1920 is equal to the percentage loss incurred by selling the same book for $1280. What price should the book be sold to make 25% profit?
Options:
A)$500
B)$1000
C)$1500
D)$1700
E)$2000
Rationale: Let C.P. be Rs. x.
Then,	1920 - x	x 100 =	x - 1280	x 100
x	x
1920 - x = x - 1280
2x = 3200
x = 1600
Required S.P. = 125% of Rs. 1600 = Rs. 125	x 1600 = $2000
100
E
Answer: E
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 100 and 200?
Options:
A)4545
B)5050
C)6525
D)4352
E)4652
Rationale: sum = 100*101/2 = 50*101 = 5050
Answer is B
Answer: B
Question: In the reading room of a library, there are 25 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
Options:
A)17
B)16
C)15
D)14
E)9
Rationale: 1+2+3+4+5+6+7+8 = 36
so, 8 spots are occupied by users
25-8 = 17,
ANSWER:A
Answer: A
Question: Whats the next number in this number series ?
18, 46, 94, 63, 52, ?
Options:
A)23
B)12
C)34
D)61
E)55
Rationale: D
61
Reversed digits of squares of number in descending order.
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Options:
A)9
B)10
C)12
D)20
E)22
Rationale: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54 x 60) min = 10 min.
Answer:B
Answer: B
Question: How many different possible permutations can be made from the word ‘VULLAT’ such thatthe vowels are never together?
Options:
A)120
B)200
C)240
D)260
E)270
Rationale: The word ‘BULLAT’ contains 6 letters of which 1 letter occurs twice = 6! / 2! = 360
No. of permutations possible with vowels always together = 5! * 2! / 2! = 120
No. of permutations possible with vowels never together = 360-120 = 240.
C
Answer: C
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -6 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Options:
A)-6,-6,-6
B)-6,6,6
C)1,1,1
D)-6,36,6
E)6,6,36
Rationale: Mean: If all values are multiplied by -6 then their sum will also be multiplied by -6 so Mean will also get -6
Variance:
Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values
When we multiply all the values by -6 then the difference between the mean and the individual values also gets multiplied by -6 and the square of that difference becomes 36. So, the variance gets multiplied by a factor of 36
SD:
Standard Deviation is the square root of variance so sqrt(36)=6. So SD gets multiplied by a factor of 6.
So, answer will be D.
Answer: D
Question: A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 4 women from the given committee?
Options:
A)75
B)90
C)105
D)120
E)135
Rationale: The number of ways to select two men and four women = 4C2 * 6C4 = 6 * 15 = 90
The answer is B.
Answer: B
Question: Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long after the train has passed the second man will the two men meet?
Options:
A)89.7 minutes
B)90 minutes
C)90.3 seconds
D)91 seconds
E)None of these
Rationale: Explanation :
Let ‘L’ be the length of train, ‘x’ be the speed of the first man, ‘y’ be the speed of the second man and ‘z’ be the speed of the train.
=>20=1/(z−x) and
=>18=1/(z+x)
=>z=10x+9y.
Distance between the two men =600(z+y).
Time = (600(z+y)-600(x+y))/(x+y).
=>600(9x+9y)/(x+y).
=> 90 minutes.
Answer : B
Answer: B
Question: A cube of side 3 meter length is cut into small cubes of side 15 cm each. How many such small cubes can be obtained?
Options:
A)8078
B)1040
C)1058
D)1021
E)8000
Rationale: Along one edge, the number of small cubes that can be cut
= 300/15 = 20
Along each edge 20 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut
= 20 * 20 * 20 =8000
Answer:E
Answer: E
Question: x = 13.165
y = 7.686
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Options:
A)0.01
B)0.02
C)0.03
D)0.1
E)0.2
Rationale: Rounding off the values:
x = 13.17
y = 7.69
z = 11.55
A = 13.17 + 7.69 + 11.55 = 32.41
x + y + z = 13.165 + 7.686 + 11.545 = 32.206
B = 32.21
A - B = 0.2
Option E
Answer: E
Question: A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Options:
A)3 km/hr, 1 km/hr
B)5 km/hr, 4 km/hr
C)1 km/hr, 6 km/hr
D)2 km/hr, 1 km/hr
E)4 km/hr, 1 km/hr
Rationale: Downstream speed=32km/8hrs
=4kmph
upstream speed=24km/12hrs
=2kmph
speed of boat=avg of downstream and upstream speeds
speed of boat=(4+2)/2kmph
=3kmph.
current speed=half of the difference of downstream and upstream speeds
currend speed=(4-2)/2kmph
=1kmph
ans is 3km/hr,1km/hr
ANSWER:A
Answer: A
Question: Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?
Options:
A)Wednesday
B)Thursday
C)Monday
D)sunday
E)tuesday
Rationale: Monday - 3000, Tuesday = 3000+(3000*.20)= 3600
wednesday = 3600+(3600*.20) = 4320
Thursday = 4320+(4320*.20) = 5184
ANSWER:B
Answer: B
Question: A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)4/7
B)2/3
C)5/8
D)1/4
E)5/7
Rationale: Total number of balls = 10+6 = 16
number of white balls = 10
Probability = 10/16 = 5/8
Answer is C
Answer: C
Question: A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
Options:
A)121
B)50
C)100
D)160
E)80
Rationale: Amount = (1600)* (1 + (5/2*100))^2
Amount = 1600 * (41/40) * (41/40) = 1681 ------(for investment in 1st month) Amount = 1600 * (41/40) = 1640 -----(for investment in 7th month) Total Amount = 1681 + 1640 = 3321 Interest = 3321-3200 = 121.............. Ans -A
Answer: A
Question: If q and r are both odd numbers B, which of the following must also be odd?
Options:
A)q – r
B)(q + r)^2
C)q(q + r)
D)(qr)^2
E)q/r
Rationale: We're told that q and r are both ODD numbers B. We're asked which of the following must also be odd.
IF...
q = 1
r = 3
Answer A) q – r = 1-3 = -2 NOT odd
Answer B) (q + r)^2 = (1+3)^2 = 16 NOT odd
Answer C) q(q + r) = (1)(4) = 4 NOT odd
Answer D) (qr)^2 = (3)^2 = 9 This IS ODD
Answer E) q/r = 1/3 NOT odd
Final Answer:
D
Answer: D
Question: A, Band C can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Options:
A)7 days
B)8 days
C)9 days
D)10 days
E)16 days
Rationale: (A+B)'s 1 day's work = 1/35+1/20 = 11/140
(A+C)'s 1 day's work = 1/35+1/55 = 18/385
work done in 2 day's = 11/140+18/385 = 48/383
48/383th work done in 2 days
work done= 383/48*2 = 16 days (approx)
ANSWER:E
Answer: E
Question: The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order?
Options:
A)58 > 30 > 27 > 14
B)58 > 30 > 27 > 15
C)58 > 30 > 27 > 16
D)58 > 30 > 27 > 17
E)None
Rationale: Solution:
Here, the alphabets can be re-written to their corresponding numbers:
A = 1, B = 2, C = 3... and so on
SHOP = 19 + 8 + 15 + 16 = 58
FEAR = 6 + 5 + 1 + 18 = 30
BALL = 2 + 1 + 12 + 12 = 27
DEAD = 4 + 5 + 1 + 4 = 14
Now, clearly 58 > 30 > 27 > 14
Thus, the order.
Answer A
Answer: A
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: (C)
Required remainder = remainder by (13 +11)/17 = 7
Answer: C
Question: If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :
Options:
A)4% increase
B)24% increase
C)10% decrease
D)6% increase
E)None of these
Rationale: Explanation :
Solution: let the original price be Rs. 100.
New final price = 155% of(80% of 100) =Rs. 155/100 * 80/100 * 100 = Rs. 124.
.'. Increase = 24%
Answer : B
Answer: B
Question: Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500?
Options:
A)1557.8
B)1157.8
C)1540.8
D)3557.8
E)2557.8
Rationale: The amount Ben gets for managing
= 8% of Rs. 3500 = 280
Remaining profit = 3500 â€“ 280 = 3220
This is to be divided in the ratio 25000 : 38000=25: 38.
Share of Ben = 25/63 of 3220 = 1277.8
â‡’ Total share of Ben = 280 + 1277.8 = 1557.8.
Answer A
Answer: A
Question: The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent?
Options:
A)50%
B)100%
C)25%
D)15%
E)60%
Rationale: C.P. of each article be $1
C.P. of 10 articles = 10
gain% = 10/10*100 = 100%
Answer is B
Answer: B
Question: The area of a triangle is with base 18m and height 6m?
Options:
A)88 m2
B)10 m2
C)66 m2
D)54 m2
E)31 m2
Rationale: 1/2 * 18 * 6 = 54 m2
Answer: D
Answer: D
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make?
Options:
A)80%
B)89%
C)100%
D)48%
E)10%
Rationale: The total CP = Rs. 2000 + Rs. 1000
= Rs. 3000 and SP = Rs. 6000
Profit(%) = (6000 - 3000)/3000 * 100
= 100%
Answer: C
Answer: C
Question: R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field?
Options:
A)24hours
B)5 hours
C)10hours
D)15hours
E)20hours
Rationale: f R and S together can do a piece of work in x days and R alone can do the same work in y days, then S alone can do the same work in x y/ y â€“ x days.
the No. of hours required by S= 10 Ã— 20/ 20 â€“ 10 = 200/10 = 20 hours
E
Answer: E
Question: In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)30%
B)51%
C)90%
D)100%
E)None of these
Rationale: Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 130, S.P. = Rs. 230.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 230.
Profit = Rs. (230 - 112) = Rs. 118.
Required percentage = (118 /230 *100) % = 51 % appox
Answer : B
Answer: B
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Options:
A)4000
B)5000
C)2000
D)1000
E)6000
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
Answer is C.
Answer: C
Question: If k, (k+200), (k+350), and 15*K are all multiples of S then S could equal which of the following ?
Options:
A)20
B)S=25
C)75
D)100
E)150
Rationale: {Multiple of S} - {Multiple of S} = {Multiple of S}.
(K+200) - k = 200 = {Multiple of S}.
(K+350) - k = 350 = {Multiple of S}.
Both 200 and 350 are multiples of only option B.
Answer: B.
Answer: B
Question: The sum of three consecutive even numbers is 366. Find the middle number of the three?
Options:
A)111
B)123
C)122
D)152
E)142
Rationale: Middle number =366/3
=122
Ans C
Answer: C
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 30% of the total school population of x students, what is x?
Options:
A)125
B)173
C)225
D)250
E)500
Rationale: 90=x/100*30/100*x=>x^2 = 9*10000/3 = > x = 173
B
Answer: B
Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
Options:
A) 7
B) 8
C) 12
D) 3
E) 15
Rationale: Rate of H = 7 acres/hr
Remaining land to be harvested = 100 - 30 = 70
Rate of H and K = 70/7 = 10 acres/hr
Rate of K = 10 - 7 = 3
Answer: D
Answer: D
Question: A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train?
Options:
A)100m
B)180m
C)159m
D)250m
E)152m
Rationale: Length of the train be ‘X’
X + 200/15 = X +300/20
4X + 800 = 3X + 900
X = 100m
Answer:A
Answer: A
Question: Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Options:
A)4^30
B)2^30
C)1^30
D)3^30
E)6^30
Rationale: Each Mango can be given to any one of the four people or in other words..1 mango can be divided into 4 ways...so all 30 can be divided in 4^30 ways
ANS:A
Answer: A
Question: John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends?
Options:
A)3
B)8
C)10
D)15
E)20
Rationale: 6C4 = 15
The answer is D.
Answer: D
Question: The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %?
Options:
A)62.7%
B)65%
C)88%
D)65%
E)62%
Rationale: 3300 ---- 2070
100 ---- ? => 62.7%
Answer:A
Answer: A
Question: The greatest number of four digits which is divisible by 10, 16, 24 and 80 is:
Options:
A)9000
B)9420
C)9660
D)9840
E)9900
Rationale: Greatest number of 4-digits is 9999.
L.C.M. of 10,16, 24 and 80 is 240.
On dividing 9999 by 240, the remainder is 159.
Required number (9999 - 159) = 9840.
Answer: Option D
Answer: D
Question: Missing number in the series
4 9 20 43 90 ?
Options:
A)175
B)185
C)190
D)195
E)180
Rationale: 4*2+1=9
9*2+2=20
20*2+3=43
43*2+4=90
so 90*2+5=185
ANSWER:B
Answer: B
Question: There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________
Options:
A)23456
B)45678
C)42875
D)40000
E)16000
Rationale: we have to select three questions from each section so the chances are 7C4. 7C4.7C4=42875
ANSWER:C
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)17%
B)72%
C)12%
D)82%
E)36%
Rationale: Original price = 100
CP = 80
S = 80*(170/100) = 136
100 - 136 = 36%
Answer:E
Answer: E
Question: If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
Options:
A)(7 , 3) km/hr
B)(7 , 9) km/hr
C)(3 , 3) km/hr
D)(7 , 5) km/hr
E)(7 , 7) km/hr
Rationale: Explanation:
If x: speed of boats man in still water
y: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x – y
x = (Ds + Us) / 2
y = (Ds – Us) / 2
In the above problem Ds = 10 ; Us = 4
x = (10 + 4) / 2 = 14/2 = 7 km/hr
y = (10 - 4)/2 = 6/2 = 3 km/hr
ANSWER: A
Answer: A
Question: Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean?
Options:
A) 10.5
B) 11
C) 11.5
D) 12
E) 8.5
Rationale: The value which is exactly two SD below the mean is: mean-2*SD=11.5-2*1.5=8.5.
Answer: E.
Answer: E
Question: If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is
Options:
A)45
B)79
C)50
D)55
E)60
Rationale: given 3x=5y=8z
x+y+z in terms of x
= x+(3x/5)+(3x/8) = 79x/40
now checking with each of the answers and see which value gives a minimum integer value.
A x = 40/79*45 , not an integer
C,D,E can be ruled out similarly.
B is minimum value as x = 79*40/79 = 79
Answer is B
Answer: B