divelab/Sys2Bench huggingface dataset:
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)288
B)266
C)500
D)277
E)211
Rationale: Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800 = 500 meters.Answer:C
Answer: C
Question: During a clearance sale, a retailer discounted the original price of its TVs by 20% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Options:
A)40%
B)45%
C)55%
D)60%
E)64%
Rationale: VERITAS PREPOFFICIAL SOLUTION:
D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 80% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 80% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 80% sale price. Using fractions, that means they pay: 4/5*(4/5) of the original price, which nets to 0.64 of the original price, or 64%.
E
Answer: E
Question: The speed at which a man can row a boat in still water is 9 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Options:
A)16 seconds
B)34 seconds
C)14 seconds
D)18 seconds
E)15 seconds
Rationale: Speed of the boat downstream = 9 + 3 = 12 kmph
= 12 * 5/18 = 10/3 m/s
Hence time taken to cover 60 m = 60*3/10
= 18 seconds.
Answer: D
Answer: D
Question: If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
Options:
A)$33.95
B)$47.47
C)$28.40
D)$60.60
E)$72.85
Rationale: The tip is 20% of what he paid for lunch. Hence
tip = 20% of 50.50 = (20/100)*50.50 = 101/100 = $10.10
Total spent
50.50 + 10.10 = $60.60
correct answer D
Answer: D
Question: A large no. N =1234567891011121314…99899100. What will be the remainder when 1st 100 digits of N is divided by 9?
Options:
A)2
B)3
C)5
D)7
E)8
Rationale: Hence the first 100 digits of N goes like this 1234567891011121314.......5253545
We need to find the sum of the above number to check for divisibility by 9.
From 1 to 50, each of the digits 1 to 4 occurs 14 times, digit 5 occurs 6 times and each of 6 to 9 occurs 5 times
Sum of digits from 1 to 4 = 10
Sum of digits from 6 to 9 = 30
Therefore, sum of digits from 1 to 50 = 10 * 15 + 5 * 6 + 30 * 5 = 330
Sum of digits from 51 to 54 plus a 5 = 5 * 4 + ( 1 + 2 + 3 + 4) + 5 = 20 + 15 = 35
Total sum = 330 + 35 = 365
When 365 is divided by 9, we get 5 as the remainder!
Correct Answer: 5
C
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Options:
A)1/6
B)1/2
C)1/9
D)1/1
E)1/5
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then
= 18/36 = 1/2
P(E) = 1 - 1/2 =1/2.
Answer: B
Answer: B
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 10 machines produce in 6 minutes?
Options:
A)1344
B)4200
C)8400
D)50400
E)67200
Rationale: 8 machines produce 560 in 1 min
8 machines produce 560* 6 in 6 min
10 machine produce 560*6*(10/8) in 6 minutes
560*6*10/8=4200 answer is B.
Answer: B
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
Options:
A)560
B)561
C)562
D)563
E)564
Rationale: Total price of 8 t-shirts= 8*526=4208
Total price of 5 t-shirts=5*505=2525
Total price of 3 t-shirts=4208-2525=1683
Average price of 3 t-shirts=1683/3=561
Correct option Answer:B
Answer: B
Question: If a function f is defined by f(x)= 2x/(x-1) for all non zero numbers x. If f(a) = 4 and f(ab) = 6 then b= ?
Options:
A)3/2
B)1/2
C)7/2
D)3/4
E)1/4
Rationale: Given that f(x) =2x/(x-1) and f(a) = 4, then f(a) =2a/(a-1)=4 ===> 2a = 4a -4 => a =2, then backsolve using the answer choices:
f(ab) = f(2b) = 6
A) 3/2 ===> f(2*3/2) = f(3) = 2*3/(3-1) = 6/ 2 = 3
B) 1/2 ===> f((2*1/2) = f(1) = 2*1/(1-1) = undefined
C) 7/2 ===> f(2*7/2) = f(7) = 2*7/(7-1) = 14/6 = 7/3
D) 3/4 ===> f(2*3/4) = f(3/2) (2*3/2)/(3/2-1) = 3/(1/2) = 6 WINS
E) 1/4 ===> f(2*-1/4) = f(1/2) = (2*1/2)/(1/2-1) = 1/-1/2 = -2
Answer: D
Answer: D
Question: Train X and train Y pass one another traveling in opposite directions. Twenty four minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
Options:
A)28
B)40
C)56
D)72
E)80
Rationale: Let the rate of the Train Y be R
Then the rate of the Train X will be R+30 (given)
As per relative rate concept, the rate at which they are increasing the distance between them is R+(R+30) [add the rates] i.e. 2R+30
d=100 and t = 24 min i.e 24/60 hr
using RTD table, (2R+30) * 24/60 = 100 ==> R= 110 miles/hr
So the rate of train X is 140 miles/hr (since R+30)
The distance traveled by Train X in 24 min is R*T = 140 * 24/60 = 56 miles (C)
Answer: C
Question: At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?
Options:
A)1 to 2
B)2 to 3
C)3 to 2
D)5 to 3
E)2 to 1
Rationale: Average hourly wage of male employees = 9.97 $
Average hourly wage of female employees = 10.37 $
Average hourly wage of all employees = 10.12 $
Let number of male employees = m
number of female employees = f
10.12 = (9.97m + 10.37f ) / m+f
=>10.12m + 10.12f = 9.97m + 10.37f
=> .15m = .25f
=> m/f = .25/.15 = 5/3
Answer D
Answer: D
Question: If the LCM of two integers X, Y (where Y> X and X>1) is X*Y, then which of the following can not be true?
Options:
A)Both X and Y can be Prime Numbers.
B)All Prime factors of X must be Prime factors of Y.
C)Both X and Y can be consecutive integers.
D)X and Y do not share any Prime factors.
E)X and Y do not have a common factor
Rationale: If LCM of two numbers X and Y is the product XY then both numbers are Co- prime.
(Co-prime numbers are any two numbers which have an HCF of 1 i.e. when two numbers have no common prime factor apart from the number 1).
Numbers that can be Co-Prime are :
1) Two consecutive natural numbers.
2) Two consecutive odd numbers.
3) Two prime numbers.
4) One prime number and the other a composite number such that the composite number is not a multiple of the prime number.
With above four statements it can be concluded that Options A, C, D and E are all true.
Only Option B cannot be true.
Hence answer is B
Answer: B
Question: (3x + 2) (2x - 3) = ax^2 + kx + n . What is the value of a - n + k ?
Options:
A)5
B)7
C)9
D)10
E)11
Rationale: Expanding we have 6x^2 - 9x + 4x -6
6x^2 - 5x - 6
Taking coefficients, a = 6, k= -5, n = -6
Therefore a - n + k = 6 - (-6) - 5 = 12 - 5 = 7
The answer is B.
Answer: B
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3720 , R will receive
Options:
A)720
B)700
C)800
D)900
E)None of these
Rationale: Explanation :
Let P's capital = p, Q's capital = q and R's capital = r
Then
4p = 6q = 10r
=> 2p = 3q = 5r
=>q = 2p/3
r = 2p/5
P : Q : R = p : 2p/3 : 2p/5
= 15 : 10 : 6
R's share = 3720 * (6/31) = 120*6 = 720. Answer : Option A
Answer: A
Question: Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?
Options:
A)10 km/hr
B)12 km/hr
C)16 km/hr
D)20 km/hr
E)25 km/hr
Rationale: Hint: If two bodies A and B move from each other's starting point in opposite directions, they reach their destinations after having met, then their speeds Sa & Sb are given by,
Sa	/ Sb = √tb / √ta
where t is the time taken by them to cover the distance.
Sb	(25 x 4)	/ 5 = 20 km/hr
ANSWER IS D
Answer: D
Question: The sub-duplicate ratio of 16:64 is
Options:
A)4:3
B)1:2
C)1:3
D)1:4
E)2:4
Rationale: root(16):root(64)=4:8=2:4
ANSWER:E
Answer: E
Question: In expressing a length of 11.482 km as nearly as possible with the three significant digits, find the percentage error
Options:
A)0.157%
B)0.207%
C)0.016%
D)0.021%
E)None of these
Rationale: Explanation:
Error = (11.5 - 11.482) = 0.018
Required percentage =
0.018/ 11.482Ã—100=0.157
Option A
Answer: A
Question: How can 0.1666 of 600 of 66.67 % can be written?
Options:
A)66.67
B)13.39
C)16.67
D)18.99
E)12.5
Rationale: 0.1666 = 1/6 of 600 = 100 of 66.67% = 100 of 2/3
100 * (2/3) = 66.67 ...... Ans - A
Answer: A
Question: In a fruit bucket total number of fruits is 99. If ratio of apple guava and mango is 17:9:7. Find the number of mangoes?
Options:
A)24
B)30
C)16
D)21
E)33
Rationale: Let the number of apple guava and mangoes are 17x, 9x, 7x
17x+9x+7x = 99
33x = 99
x = 3
Number of mangoes are = 3*7 = 21
Answer : D
Answer: D
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 -5 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Options:
A)-5,-5,-5
B)-5,5,5
C)1,1,1
D)-5,25,5
E)5,5,25
Rationale: Mean: If all values are multiplied by -5 then their sum will also be multiplied by -5 so Mean will also get -5
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 -5 then the difference between the mean and the individual values also gets multiplied by -5 and the square of that difference becomes 25. So, the variance gets multiplied by a factor of 25
SD:
Standard Deviation is the square root of variance so sqrt(25)=5. So SD gets multiplied by a factor of 5.
So, answer will be D.
Answer: D
Question: Which of the following equations has a solution in common with x^2 - 2x - 15 = 0?
Options:
A)x^2 - 6x + 9 = 0
B)x^2 + 2x - 15 = 0
C)2x^2 + 9x + 9 = 0
D)2x^2 + x - 3 = 0
E)none of the above
Rationale: Given : x^2 - 2x - 15 => (x+3) (x-5) = 0 => 5 and -3 are the roots..
A. x^2 - 6x + 9 = 0 => (x-3) (x-3)
B. x^2 + 2x - 15 = 0 => (x+5) ( x-3)
C. 2 x^2 + 9x + 9 = 0 => (x+3) ( 2x+3)
D. 2 x^2 + x - 3 = 0 => (x-1) (2x+3).... no eq has same roots as per the parent eq..
Answer: C is correct answer
Answer: C
Question: A man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. How many days would it take for him to come out of the well?
Options:
A)22
B)46
C)17
D)27
E)33
Rationale: D
I will take 27 days to come out of that well for that man,
He climbs 4 meter every day and slips 3 meter down that means he climbs 1 meter in total each day, so like this on 26th day he would have climbed 26 meter and on 27th day he will climb 4 meeter again so total 30 meter he will climb in 27 days.
Answer: D
Question: If a set consists of all positive digits less than or equal to 3 and of the squares of those digits, what is the mode of the set?
Options:
A)1
B)2
C)3
D)4
E)9
Rationale: let set X= {1, 1.5, 2, 2.5, 3}
Set in question consists of even the squares of the digits contained in set X.
Hence required set = { 1, 1, 1.5, 2, 2.25, 2.5, 3, 4, 6.25, 9}
Mode of set= 1
ANSWER:A
Answer: A
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 5:8. What is the ratio of the smaller number to the larger number?
Options:
A)1:8
B)1:6
C)1:5
D)1:4
E)1:3
Rationale: For two numbers, the arithmetic mean is the middle of the two numbers.
The ratio of the mean to the larger number is 5:8, thus the smaller number must have a ratio of 2.
The ratio of the smaller number to the larger number is 2:8 = 1:4.
The answer is D.
Answer: D
Question: A scale 6 ft. 8 inches long is divided into 2 equal parts. Find the length of each part.
Options:
A)20 inches
B)77 inches
C)66 inches
D)97 inches
E)40 inches
Rationale: Explanation:
Total length of scale in inches = (6*12) + 8 = 80 inches
Length of each of the 2 parts = 80/2 = 40 inches
ANSWER:E
Answer: E
Question: 15 litres of mixture contains 20% alcohol and the rest water. If 5litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Options:
A)16.67%
B)23%
C)15%
D)19.75%
E)21.23%
Rationale: Alcohol in the 15litres of mix. = 20% of 15litres = (20*15/100) = 3litres
water in it = 15-3 = 12litres
new quantity of mix. = 15+5 = 20 litres
Quantity of alcohol in it = 3litres
Percentage of alcohol in new mix. = 3*100/20 = 15%
Answer is C
Answer: C
Question: During the first two weeks of January, the total rainfall in Springdale was 20 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?
Options:
A)5 inches
B)6 inches
C)9 inches
D)10 inches
E)12 inches
Rationale: Total rainfall in 2 weeks = 20 inches.
Assume the rainfall in second week = 1.5x
Rainfall in first week = x
Total rainfall = 2.5x = 20 inches
x = 8 and 1.5x = 12
Rainfall during second week = 12 inches
Option E
Answer: E
Question: Debbie had 5 1/2 yards of ribbon. She cut it into pieces that were each 1 1/2 yard long. How
many inches long is the leftover piece? Note that the fraction that indicates the leftover piece is a
fraction of a piece, not a fraction of the original amount.
Options:
A)22 inches
B)36 inches
C)48 inches
D)37 inches
E)17 inches
Rationale: 5 1/2 ÷ 1 1/2 = 11/2 x 2/3 = 22/6 =
3 4/6 = 3 2/3 pieces
1 1/2 yds. x 36 in. = 54 in. length of one piece
2/3 x 54 = 36 in. length of left over piece
correct answer B
Answer: B
Question: If 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days?
Options:
A)278.4 mtrs
B)378.4 mtrs
C)478.4 mtrs
D)488.4 mtrs
E)567.6 mtrs
Rationale: If 20 men can build a wall 66 metres long in 4 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(4*20) = 567.6 mtrs
ANSWER:E
Answer: E
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 9,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Options:
A)1250
B)2,079
C)2,200
D)2,250
E)2,460
Rationale: 24600/12=2050
2050*5=10250
10250-9000=1250
Answer A
Answer: A
Question: The average (arithmetic mean)W of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.
Options:
A)I only
B)II only
C)III only
D)II and III only
E)None of the above
Rationale: Given :
p + q = EVEN (odd + odd =even)
p + q + s + t = EVEN (even + even = even) nothing more....
(p + q + s + t) / 4 = x
I.
x may or may not be integer, we only know sum of 4 variables is even not necessarily multiple of 4. I is out.
II.
Similarly, x an integer if sum of 4 variables is multiple of 4 but not an integer if it is not multiple of 4, we only know it is even. II is out.
III.
As in II, if X is integer 2x is Even, if X has decimal part (a.5), 2x is odd. III is out.
Answer E, None.
Answer: E
Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 60 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
Options:
A)20
B)30
C)40
D)10
E)16
Rationale: Machine B produces 100 part in 60 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in 60/2=30 minutes.
Now, Machine A produces 100 parts in 30 minutes which is 100/30 = 10/3 parts/minute.
10/3 parts X a total of 6 minutes = 20
A
Answer: A
Question: Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24000, how much amount per month would he have spent on clothes and transport?
Options:
A)2000
B)8076
C)9691.2
D)4845.6
E)None of these
Rationale: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month
∵ Amount, spent on clothes and transport
= 24000⁄12 = 2000
Answer A
Answer: A
Question: Which of the following cannot be the sum of 3 different prime numbers?
Options:
A)10
B)13
C)14
D)15
E)19
Rationale: Since the options given here are small, we can try the brute fore method.
Option A: 10 = 2+3+5. Sum of 3 different prime numbers.
Option B: 13. This cannot be expressed as a sum of 3 different prime numbers
Option C: 14 = 2 + 5 + 7. Sum of 3 different prime numbers
Option D: 15 = 3 + 5 + 7. Sum of 3 different prime numbers
Option E: 19 = 3 + 5 + 11. Sum of 3 different prime numbers
Correct Option: B
Answer: B
Question: 7.007/2.002 =
Options:
A)3.05
B)3.50035
C)3.501
D)3.5035
E)3.5
Rationale: 7.007/2.002 = 7007/2002 = 7(1001)/2(1001) = 7/2 = 3.5
The answer is E.
Answer: E
Question: A merchant purchased a jacket for $90 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Options:
A)$0
B)$3
C)$6
D)$12
E)$15
Rationale: Let selling price = x
So, x = 90 + 25x/100
Calculating above, x = 120
Selling price = 120
20% Discount on Selling price = 96
So, profit = 96-90 = 6 Answer = C
Answer: C
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $50,000 annual budget is dedicated to clothes and shoes?
Options:
A)$7,500
B)$3,000
C)$4,500
D)$5,000
E)$5,400
Rationale: Given for clothes and shoes” takes up 54° of the circular chart.
Then clothes and shoes = 54/360 * 50000.
=> 7500.
IMO option A is correct answer...
Answer: A
Question: A cube has a volume of 343 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Options:
A)24
B)48
C)64
D)2744
E)100
Rationale: Volume = 343 = side^3
i.e. Side of Cube = 7
New Cube has dimensions 14, 14, and 14 as all sides are twice of teh side of first cube
Volume = 14*14*14 = 2744 square feet
Answer: option D
Answer: D
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
Options:
A)10
B)12
C)15
D)16
E)18
Rationale: Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
B
Answer: B
Question: Given that A and B are events such that
X(A)= 0.25
X(B)=0.5
X(AnB)=0.5
find X (A|B) and X(A|B)
Options:
A)1/2
B)1/3
C)3/2
D)1/5
E)1/7
Rationale: Here, A and B are events
X(A|B) = X(AnB)/X(B) = 0.5/0.5 = 1
X(A|B) = X(AnB)/X(A) = 0.5/0.25 = 1/2.
Answer is A
Answer: A
Question: 3/4 of a number is 19 less than the original number. The number is ?
Options:
A)84
B)64
C)76
D)72
E)None
Rationale: Answer
Let the original number be N.
So from question N - 3N/4 = 19
⇒ 4N - 3N = 76
∴ N = 76
Option: C
Answer: C
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Options:
A)8, 20, 28
B)16 years, 28 years, 36 years
C)20, 35, 45
D)20, 35, 48
E)None of these
Rationale: Let the present ages are 4x, 7x, 9x.
=> (4x-8) + (7x-8) + (9x-8) = 56
=> 20x = 80
=> x = 4
So their present ages are : 16,28,36
ANSWER:B
Answer: B
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 12 years?
Options:
A)30
B)32
C)40
D)50
E)60
Rationale: Explanation :
(A + B), five years ago = (15 * 2) = 30 years.
(A+B), now = (30+5*2)years=40 years.
(A + B + C), now = (20 x 3) years =60 years.
C, now = (60 - 40) years = 20 years.
C, after 12 years = (20 + 12) years =32 years.
Answer : B
Answer: B
Question: A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Options:
A)24 days
B)60 days
C)86 days
D)45 days
E)17 days
Rationale: 10/20 + 10/30 + 10/x = 1
x = 60 days
Answer:B
Answer: B
Question: Which of the following lines has x-intercept and y-intercept that are integers T?
Options:
A)y=3x+1
B)y=√x+1
C)y=-2/x
D)y=x^2-1
E)xy=1
Rationale: Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers T and the correct answer is D.
Answer: D
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 10 were to be added to each score, which of these three statistics would change?
Options:
A)The mean only
B)The median only
C)The mean and the median
D)The standard deviation only
E)The mean and the standard deviation
Rationale: The correct answer is C.
Answer: C
Question: sahar travels the first 7 hours of his journey at 50 mph speed and the remaining 8 hours at 40 mph speed. What is the average speed of sahar's travel in mph?
Options:
A)44.3 mph
B)44.6 mph
C)44.9 mph
D)44.1 mph
E)44.2 mph
Rationale: Explanation :
Average speed=Total Distance/Time.
Total distance travelled by sahar = Distance covered in the first 7 hours + Distance covered in the next 8 hours.
Distance covered in the first 7 hours = 7Ã—50=350 miles
Distance covered in the next 8 hours= 8Ã—40=320 miles
Therefore, total distance travelled = 350+320=670 miles.
The total time taken = 7+8=15hours.
Hence, the average speed =670/15= 44.6 mph.
Answer : B
Answer: B
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yellin grock on!, what are the chances that the next person who yells rock on!will be a freak?
Options:
A)1
B)1/2
C)1/3
D)1/4
E)1/6
Rationale: Another approach is toassign some nice valuesfor the number of freaks, nerds and geeks.
Given: the ratio of freaks to nerds to geeks is 1:2:3
So, let's say there is: 1 freak, 2 nerds and3geeks for a TOTAL of6people.
P(next person who yells rock on!is a freak) = (# of freaks in the crowd)/(TOTAL # of people in the crowd)
=1/6
= 1/6
Answer:
E
Answer: E