divelab/Sys2Bench huggingface dataset:
Question: If 3 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
Options:
A) -7
B) -6
C) -3
D) 1
E) 6
Rationale: The phrase “3 is one solution of the equation” means that one value of x is 3. Thus, we first must plug 3 for x into the given equation to determine the value of k. So we have
3^2 + (3)(3) + k = 10
9 + 9 + k = 10
18 + k = 10
k = -8
Next we plug -8 into the given equation for k and then solve for x.
x^2 + 3x – 8 = 10
x^2 + 3x – 18 = 0
(x+6)(x-3) = 0
x = -6 or x = 3
Thus, -6 is the other solution. Answer B.
Answer: B
Question: The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 14000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Options:
A)Rs. 7000
B)Rs. 8000
C)Rs. 8600
D)Rs. 9000
E)None
Rationale: Answer
Average salary
= 8000 + 5000 + 14000 + 7000 + 9000 / 5
= Rs. 8600
Correct Option: C
Answer: C
Question: If two women starting from same point, walking in the opposite directions with 8km/hr and 7km/hr as average speeds respectively. Then the distance between them after 3 hours is?
Options:
A)23
B)33
C)43
D)53
E)63
Rationale: Explanation:
Total distance = Distance traveled by person A+ Distance traveled by person B
= (8Ã— 3) + (7Ã— 3)
= 24+ 21
= 43 Km
Answer:C
Answer: C
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following T is a possible value for x + y?
I. 18
II. 19
III. 20
Options:
A)I only
B)II only
C)T=III only
D)II and III only
E)None
Rationale: TIP FOR SUCH QUESTIONS: Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about
i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as
m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7
i.e. Min Value of x = 8
AND
i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as
n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11
i.e. Min Value of y = 12
i.e. Minimum Value of x+y = 8+12 = 20
Hence III only can be True
Answer: Option
C
Answer: C
Question: If |x^2 − 30| = x, which of the following could be the value of x?
Options:
A)-6
B)-5
C)1
D)5
E)15
Rationale: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-30 is negative.
-(x^2 -30) = x
x^2 + x - 30 = 0
(x+6)(x-5) = 0
x = 5 or x = -6 (However, x can not be negative.)
Then x = 5 is a possible value for x.
The answer is D.
Answer: D
Question: The average of 11 results is 45, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
A)114
B)116
C)117
D)118
E)119
Rationale: 1 to 11 = 11 * 45 = 495
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 495=114
ANSWER:A
Answer: A
Question: On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 25 inch from the base of the mountain. How many km is he from the base of the mountain?
Options:
A)10.89
B)14.81
C)14.8
D)14.82
E)14.12
Rationale: Explanation:
Since 312 inch = 136 km
So 1 inch = 136/312 km
So 25 inch = (136 Ã— 25)/ 312 = 10.89 km
Answer: A
Answer: A
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 8 members, then what is the exact number of researchers required?
Options:
A)23
B)22
C)21
D)20
E)19
Rationale: alternatively, we have
8*3-2( because james is included in all the three teams)
=22
B
Answer: B
Question: A train 110 m long is running with a speed of 82 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)7 sec
B)6 sec
C)8 sec
D)4.5 sec
E)2 sec
Rationale: Speed of train relative to man = 82+ 6
= 88 km/hr.
= 88 * 5/18 = 24.44 m/sec.
Time taken to pass the men = 110 /24.44
= 4.5 sec.
Answer:D
Answer: D
Question: Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?
Options:
A)34.25
B)35
C)33.25
D)34.25
E)None of these
Rationale: Explanation:
Average runs scored by Virat Kohli in 10 matches: Total runs scored/10—(1)
Average runs scored by Virat Kohli in 6 matches: (Total runs in 6 matches)/6
=> 42 = Runs/6
=>252 runs
Using (1):
=>38.9 = Runs/10
=>389 runs
Runs scored in rest 4 matches: 389 - 252 runs
=> 137 runs
Average runs scored by Virat Kohli in 4 matches: 137/4 = 34.25 runs
ANSWER A
Answer: A
Question: If r, s, and t are three different positive integers whose sum is prime, which of the following statements could be true?
Options:
A)Each of r + s, r + t, and s + t is prime.
B)Each of r + 3, s + 3, and t + 3 is prime.
C)Each of r, s, and t is prime.
D)The average (arithmetic mean) of r, s, and t is prime.
E)r + s = t
Rationale: the question asks could be!!!!
this means that if at least one option works, it is the answer.
3, 7, 19 satisfies the condition, since 29 is a prime number. Since the question asks for a could be - we know automatically that C is the answer.
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 144 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)22
B)77
C)36
D)88
E)19.2
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (144 + 144)/12 => x = 12
Speed of each train = 12 m/sec.
= 12 * 18/5 =19.2 km/hr.
Answer: E
Answer: E
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
A)2234
B)3245
C)3456
D)4567
E)5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: E
Question: A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed at which the train must run to reduce the time of journey to 40 minutes.
Options:
A)70 km/hr
B)60 km/hr
C)10 km/hr
D)20 km/hr
E)30 km/hr
Rationale: Explanation:
We are having time and speed given, so first we will calculate the distance. Then we can get new speed for given time and distance.
Lets solve it.
Time = 50/60 hr = 5/6 hr
Speed = 48 mph
Distance = S*T = 48 * 5/6 = 40 km
New time will be 40 minutes so,
Time = 40/60 hr = 2/3 hr
Now we know,
Speed = Distance/Time
New speed = 40*3/2 kmph = 60kmph
Answer: B
Answer: B
Question: The positive numbers w, x, y, and z are such that x is 25 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Options:
A)15.2%
B)16.2%
C)20.0%
D)23.2%
E)24.8%
Rationale: My strategy is same as theDobermanbut instead take z=100, which makes life a bit easy. As:
z=100
y=120 (20% greater than z)
z=144(20% greater than y)
Now calculate w 20% less than z = 144*80/100= 115.2
Now by just looking, relation between w and z:
w-z/z*100 = 16.2 - Answer B
Answer: B
Question: You buy a piece of land with an area of âˆš100, how long is one side of the land plot?
Options:
A)28
B)29
C)10
D)31
E)32
Rationale: Try filling the numbers into the answer y x y =
Find the closest to 100.
Answer C
Answer: C
Question: A bag has 10 blue balls and 15 black balls. How many black balls must be removed from the bag so that 50 percent of the balls in the bag shall be black?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Suppose x black balls need to be removed from the bag.
After x black balls are removed, the bag shall have (15 - x) black balls and the same 10 blue balls; and the total number of balls shall be (15-x) + 10 = 25 - x
Now we want the 50 percent of balls in the bag to be black.
This means 50 percent of (25 - x) should be equal to the number of black balls which is (15 - x).
This means,
50 % of (25 - x) = (15 - x)
Solving above equation we get x = 5.
Ans E
Answer: E
Question: Richard traveled the entire 60 miles trip. If he did the first 2 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Options:
A)20mph
B)24mph
C)30mph
D)32mph
E)55mph
Rationale: Average speed=sum of distance/sum of time. If he travelled the first 2 miles at 24 miles/hr, it would take 0.083 hr. For the remaining trip, if he went at 48 miles/1hr, it would take 1 hour. Then, the average speed is 60miles/(0.083+1)hrs=55miles/1hr.
Therefore, the answer is E.
Answer: E
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 770 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
Options:
A)191
B)193
C)195
D)212
E)213
Rationale: Total movies submitted are 770.
As per question we need to take 1/4 of 770 to be considered for top 10 movies = 192.25
approximate the value we 193
IMO option B is the correct answer...
Answer: B
Question: Calculate how long it will take a swimmer to swim a distance of 8km against the current of a river which flows at 1.4km/hr, given that he can swim in still water at 3km/h
Options:
A)20 seconds
B)3
C)4
D)1
E)5
Rationale: swim in still water at = 3
speed of river= 1.4
US = 3 - 1.4= 1.6
Distance = 8
T = 8/1.6 = 5
Answer: E
Answer: E
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 25 seconds. The speed of the train is:
Options:
A)45 km/hr
B)50 km/hr
C)95 km/hr
D)55 km/hr
E)56 km/hr
Rationale: Speed of the train relative to man = (125/25) m/sec =25 m/sec. [(25 * (18/5)] km/hr = 90 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 90 ==> x = 95 km/hr.
ANSWER:C
Answer: C
Question: One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 225cm when it touches the floor on third time. What is the value of the original height?
Options:
A)80cm
B)90cm
C)100cm
D)120cm
E)130cm
Rationale: when Ball comes down, Then i have indicated the distance covered in green
when Ball goes up, Then i have indicated the distance covered in red
Distance travelled uptil the ball touches the floor 3rd time:h+0.5h+0.5 h+0.5*0.5 h+0.5*0.5 h
h + 2 * 0.5 * h + 2 * 0.25 * h = h (1+2*0.5+2* 0.25) = h (1+1+0.5) = 225
2.5 h = 225
h = 90.
B is the answer.
Answer: B
Question: A machine can finish a work in 18days and 2nd machine can finish the work in 15days. 2nd machine worked for 10days and left the job. In how many days, 1st machine can finish the remaining work?
Options:
A)4days
B)6days
C)8days
D)10days
E)5days
Rationale: 2nd machine 10days work = 1/15*10 = 2/3
Remaining work = 1 - 2/3 = 1/3
now 1/18 work is done by 1st machine in 1day
1/3 work is done by 1 machine in 18*1/3 = 6days.
Answer is B
Answer: B
Question: Find the missing number in the given sequence : 5,10,15,?,?,30,35
Options:
A)18 & 28
B)16 & 22
C)17 & 23
D)16 & 24
E)20 & 25
Rationale: 5+5=10
10+5=15
15+5=20
20+5=25
25+5=30
30+5=35
ANSWER:E
Answer: E
Question: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections W of the 4 items can Amanda make?
Options:
A)9
B)12
C)14
D)15
E)60
Rationale: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?
3! / 1!2! * 6! / 3!3!
W=3*20=60
E. 60
Answer: E
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
Options:
A)19
B)41
C)21
D)57
E)26
Rationale: Answer
We need to find out the number of students who took at least one of the three subjects and subtract that number from the overall 120 to get the number of students who did not opt for any of the three subjects.
Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17.
The 10th, 20th, 30th..... numbered students would have opted for both Physics and Chemistry.
Therefore, A n B = 120/10 = 12
The 14th, 28th, 42nd..... Numbered students would have opted for Physics and Math.
Therefore, C n A = 120/14 = 8
The 35th, 70th.... numbered students would have opted for Chemistry and Math.
Therefore, B n C = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of students who opted for none of the three subjects = 120 - 79 = 41.
choice is (B)
Answer: B
Question: 1+1
Options:
A)9
B)8
C)3
D)0
E)2
Rationale: E
Answer: E
Question: Walking at 5/6 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.
Options:
A)50 min
B)20 min
C)1 hour
D)30 min
E)45 min
Rationale: new speed = 5/6 of the usual speed
new time taken = 6/5 of the usual time taken
so, ( 6/5 of the usual time ) - ( usual time ) = 10min
1/5 of the usual time = 10min
usual time = 10*5 = 50 min
correct option is A
Answer: A
Question: A can do a work in 16 days. A and B can do it in 8 days. How many days can B alone can do the work?
Options:
A)1/16
B)32
C)16
D)8
E)1/8
Rationale: Ans is:C
A's 1 day's work =1/16
(A + B)'s 1 day's work =1/8
B's 1 day's work =1/8-1/16=1/16
Therefore whole work can be done by B in 16 days. Ans:C
Answer: C
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 168,000. What was the percent increase in the cost of the home?
Options:
A)60%
B)50%
C)55%
D)40%
E)33.3%
Rationale: Increase = 168000-120000 = 48000
% increase = 48000*100/120000 = 40%
Answer: option D
Answer: D
Question: A group of tourists wants to visit only three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.
Options:
A)18
B)24
C)28
D)32
E)36
Rationale: The number of ways to choose three cities is 4C3=4.
The number of itineraries for each group of 3 cities is 3!.
So the number of itineraries to three cities is 4*3!=24.
The answer is B.
Answer: B
Question: Forty ladies and fifty gentlemen are present at a party. There are 30 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
Options:
A)3/200
B)1/100
C)1/50
D)1/40
E)1/20
Rationale: In how many ways we can select a woman and a man from 40 women and 50 men? In 40*50 = 2,000 ways.
We have a total of 30 couples so, the probability of selecting a couple is 30/2,000 = 3/200.
Ans- A
Answer: A
Question: Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?
Options:
A)221
B)222
C)223
D)224
E)225
Rationale: In
Base 5
1 (1), 2(2) , 4(4) , 13(8) , 31(16) , 112(32) ,224(64)
ANSWER:D
Answer: D
Question: How many 2 digit numbers that do not contain the digit 2 are there?
Options:
A)72
B)68
C)84
D)96
E)124
Rationale: Applying combinations....8 * 9 = 72...
8 for first digit...cant be 0 or 2
9 for 2nd ....cant be 2
ANSWER: A
Answer: A
Question: In traveling from a dormitory to a certain city, a student went 1/2 of the way by foot, 1/4 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Options:
A)35
B)24
C)14
D)24
E)12
Rationale: Whole trip = distance by foot + distance by bus + distance by car
x = 1/2x + 1/4x + 6
x - 1/2x - 1/4x = 6
x = 24km
Option: D
Answer: D
Question: Find remainder if (67^67 +67) is divided by 68
Options:
A)60
B)62
C)66
D)72
E)78
Rationale: => (6767 + 1) is divisible by (67 + 1)
=> (6767 + 1) is divisible by 68
=> (6767+1) ÷ 68 gives a remainder of 0
=> [(6767+1) + 66] ÷ 68 gives a remainder of 66
=> (6767 + 67) ÷ 68 gives a remainder of 66
C
Answer: C
Question: in a soccer bet,we play 4 teams.first team odd 1.26,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Options:
A)219.5
B)225.5
C)235.01
D)266.74
E)669.0
Rationale: in the case we won the bet,we have:
1.26* 5.23* 3.25* 2.0*5.00=219.50
we will win 219.50
so correct answer is A)219.50
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when a boy gets any no. of prizes?
Options:
A)216
B)218
C)230
D)340
E)453
Rationale: Ans.(A)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 6 ways, i.e. (6 x 6 x 6) ways = 63 ways = 216 ways Or nr ways = 63 ways = 216 ways
Answer: A
Question: Pavel has to visit his aunt, who lives exactly eight blocks north and six blocks east of his current location. If Pavel travels only along streets and does not travel diagonally, the shortest possible route connecting the two points is exactly 14 blocks. How many different 14-block routes may Pavel take to travel the shortest possible distance to his aunt’s house?
Options:
A)14
B)(14!)/(8!6!)
C)(22!)/(14!8!)
D)8!6!
E)14!8!6!
Rationale: for simplification, you can draw a box/rectangle with eight vertical and 6 horizontal lines...
the Q asks u how can u travel from one vertex to opposite vertex along these lines..
And the shortest route will consist of 8 vertical and 6 horizontal moves..
so total ways are 14! out of which 8 are one kind and 6 of the other...
ways= 14!/(8!6!)
ANSWER:B
Answer: B
Question: if a four-digit number is selected at random from the integers 1000 to 9999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle two same digit?
Options:
A) 1:900
B) 7:900
C) 7:9000
D) 1:100
E) 7:100
Rationale: You are asked about all 3 digit numbers that conform to the follow type: ABA , where A= B-2.
There are 900 numbers between 100 and 999 (inclusive).
Numbers of the form ABA are: 1331, 2442,3553,4664,5775,6886,7997 = total 7
Thus the probability asked = 7/9000
B is the correct answer.
Answer: B
Question: There are twenty players on a rugby team. If the average weight of the players is 180 pounds, what will be the new average height if a 210 pound player will join the team?
Options:
A)185
B)183.22
C)184.96
D)181.43
E)182.78
Rationale: (sum of the 20 weights)/20 = 180
sum of the 20 weights = 3600
new sum = 3600 + 210 = 3810
new average = 3810/21 = 181.43
ans: D
Answer: D
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Options:
A)1235
B)1346
C)1378
D)1635
E)1489
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Large number = 270+1365 = 1635
D
Answer: D
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options:
A)1
B)1/40
C)40
D)80
E)1/80
Rationale: Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect proportion)
More bags, more days (direct proportion)
Hence we can write as
CowsBags40:11:40⎫⎭⎬::x:40
⇒40×1×40=1×40×x
⇒x=40
ANSWER:C
Answer: C
Question: The number of diagonals of a polygon of n sides is given by the formula c=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Options:
A) 3
B) 5
C) 6
D) 7
E) 8
Rationale: c=n(n-3)
c=2*n
2n=n(n-3)
=>2=n-3
=>n=5
Answer B
Answer: B
Question: A policeman noticed a criminal from a distance of 240 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
Options:
A)100 m
B)120 m
C)190 m
D)150 m
E)None of these
Rationale: Explanation :
Solution: Relative speed = (9 - 8) = 1 km/hr.
Distance covered in 3 minutes = (1 * 3/60) km = 1/20 km = 50 m.
.'. Distance between the criminal and policeman = (240 - 50) m = 190 m.
Answer : C
Answer: C
Question: Ramya sells an article at three- fourth of its list price and makes a loss of 10%. Find the profit percentage if she sells at the list price.
Options:
A)20%
B)25%
C)15%
D)35%
E)None of these
Rationale: Let the list price be x,
S.P =3/4X, S.P = (100 – loss%) /100*C.P = 0.9 C.P
3/4x =0.9C.P, C.P =3X/3.6
If S.P = X, Profit % = (x- 3x/3.6 ) / ( 3x/3.6 ) *100= 60/3 = 20%
ANSWER:A
Answer: A
Question: A car drives 60 miles on local roads at 30 mph, and 65 miles on the highway at 65 mph, what is the average speed of the entire trip?
Options:
A)36 mph
B)40 mph
C)44 mph
D)42 mph
E)58 mph
Rationale: So The Answer is Plainly D....
we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)
for first part we have d=60 miles , and v= 30 mph so we can obtain time : 30*t = 60 Or t= 60/30 = 2 hours the needed time to cover 60 miles
in the same way we should divide 65 by 65 to find the needed time to cover 65 miles ,so t= 1 hours
so the total time for covering total distance would be 2+1 = 3 hours and total distance is 60+65= 125 miles
Final stage : average speed is total distance divide to total time : 125/3 = 41.6 miles per hour that rounds up to 42....
Answer: D
Question: A certain no. when divided by 110 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Options:
A)2
B)4
C)7
D)8
E)9
Rationale: Explanation:
110 + 25 = 135/15 = 9 (Remainder)
E
Answer: E
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 3 Years?
Options:
A)5%
B)6.6%
C)9%
D)2%
E)4%
Rationale: 160 = (800*3*R)/100
R = 6.6%
Answer: B
Answer: B
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Options:
A)9X/80
B)13X/20
C)80/9X
D)10X/1
E)80X/9
Rationale: IMT = 0.25T
JI = 0.40 IMT
0.40 IMT = $x b
IMT = $x/(0.40) b
T = 4*IMT = 4x/0.40 = 4x*100/40 = 10x/1
Ans: "D"
Answer: D
Question: What is the probability that Company R's advertisement will be one of the first two be shown during the first commercial break?
Options:
A) 1/ 225
B) 1 / 30
C) 1 /15
D) 2 / 15
E) 4 /15
Rationale: R 1/15 + (14/15) * 1/14 = 2/15 D
Answer: D
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Options:
A)73 1/3 %
B)13 1/3 %
C)33 1/3 %
D)23 1/3 %
E)93 1/3 %
Rationale: Explanation:
The total number of mangoes bought by the shopkeeper be 12.
If he buys 4 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 4
Profit = SP - CP = 4 - 3 = 1
Profit Percent = 1/3 * 100 = 33 1/3 %
Answer:C
Answer: C