RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A customer went to a shop and paid a total of $30, out of which 90 cents was for sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.$12.70
B.$13.20
C.$14.10
D.$15.60
Answer: C.$14.10
Explanation: The total cost was $30.
The tax was $0.90
Let the original price of the taxable items = x
Given that tax rate = 6%
0.06x = 0.90
x = $15
The cost of the tax free items was $30 - $15 - $0.90 = $14.10
The answer is C.
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 4 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
A.20%
B.17%
C.4.0%
D.3.3%
Answer: D.3.3%
Explanation: 20/6 =3.33
Answer : D
Question: Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
A.87 km/hr
B.70 km/hr
C.76 km/hr
D.97 km/hr
Answer: B.70 km/hr
Explanation: Let their speed be x km/hr and y km/he respectively.
Then, 120/(x + y) = 1 => x + y = 120 --- (i)
Now, when they move in same direction:
(Distance traveled by P in 6 hrs) - (Distance traveled by Q in 6 hrs) = 120 km
6x - 6y = 120 => x - y = 20 --- (ii)
Sloving (i) and (ii), we get x = 70, y = 50
P's speed = 70 km/hr.
Answer: B
Question: How many prime numbers are between 28/3 and 86/6?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: 28/3 = 9.xxx
86/6 = 14.xxx
So we need to find Prime numbers between 9 (Exclusive) - 13 (Inclusive)
There are 2 Prime numbers 1113
Hence answer will be (B) 2
B
Question: A test of 10 questions is chosen from 10 hard questions and 20 easy questions. The salad must have at least 4 hard questions at least 3 easy questions. How many ways can this test be created?
A.13500611
B.13200688
C.13200858
D.895
Answer: C.13200858
Explanation: Solution: We have four possibilities 4H 6E , 5H 5E, 6H 4E, 7H 3E
(10C4)(20C6)+(10C5)(20C5)+(10C6)(20C4)+(10C7)(20C3)=13200858
C) 13200858
Question: On day one, a store sold 90 books. On each of the next d days, the company sold 62 books. If the average daily sales of books over this time period (including day one) is 66 books, what is the value of d?
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: 90 + 62d = 66(d+1).
4d = 24.
d = 6.
The answer is B.
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n?
A.10
B.11
C.12
D.13
Answer: B.11
Explanation: You need to primarily find the primes of 990:
2,3,3,5,11
The integer must contain all these primes
By knowing 11 is an prime, we know the answer can be B,C,D or E as these all contain 11.
11=1,2,3,4,5,6,7,8,9,10,11
11 contains the 2,3,5 and 11 explicitly and the second 3 comes from the 6 (2*3), therefore the answer is 11.
This is because we know a number that contains all the primes of 990 will be a multiple of 990.
ANSWER:B
Question: A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
A.2 months
B.3 months
C.5 months
D.4 months
Answer: D.4 months
Explanation: Suppose B was there in the business for x months. Then
A : B =76000×12:57000×x
Therefore,
76000×12:57000×x=2:1
76×12:57x=2:1
76×12×1=57x×2
76×4=19x×2
4×4=(x)×2
x=8
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months
Answer is D.
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
A.16 2/3%
B.15 2/3%
C.18 2/3%
D.11 2/3%
Answer: A.16 2/3%
Explanation: A
16 2/3%
600 ---- 100
100 ---- ? => 16 2/3%
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.2777
C.289
D.2779
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000.Answer: A
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
A.9(3/5) days
B.9(1/5) days
C.9(2/5) days
D.10 days
Answer: A.9(3/5) days
Explanation: Explanation :
Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 â€“ 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
ANSWER IS A
Question: A contractor undertook to do a piece of work in 6 days. He employed certain number of laboures but 7 of them were absent from the very first day and the rest could finish the work in only 10 days. Find the number of men originally employed ?
A.17.2
B.16.5
C.17.5
D.17.9
Answer: C.17.5
Explanation: Let the number of men originally employed be x.
6x = 10(x â€“ 7)
or x = 17.5
Answer C
Question: In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors Q?
A.2
B.3
C.5
D.6
Answer: B.3
Explanation: I like to put the numbers in prime factors so it is easier and faster to visualize.
14*n/60
If we write the factors of 14 --> 2, 7, and the factors of 60 --> 2, 2, 3, 5, we have
(2*7*n)/(2^2*3*5)
Simplifying
7*n/(2*3*5)
The only way the equation above has an integer value is if n has AT LEAST the factors 2, 3 and 5, so we can simplify again and we have the number 7.
The number could be 2*3*5, or 2*3*5*2, or 2*3*5*.....
However to be less than 200 we can not add any prime number.
2*3*5 = 120
If we added the next prime factor 7, we would have Q=2*3*5*7 = 840
Thus, answer B.
Question: Today David, who is 40 years old, and his daughter, who is 12 years old, celebrate their birthdays. How many years will pass before David’s age is twice his daughter’s age?
A.22
B.20
C.16
D.18
Answer: C.16
Explanation: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
After x years passes David’s age will be (40+x) years old, and his daughter’s age will be (12+x) years old. Since the David’s age is twice his daughter’s age (40+x)= 2 * (12+x) --->
40+x=24+2x ---> x= 16
The answer is (C).
Question: 9000 + 16 2/3 % of ? = 10500
A.1500
B.1750
C.9000
D.7500
Answer: C.9000
Explanation: Explanation:
9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500
50/(3 * 100) of ? = 1500 => ? = 1500 * 6
? = 9000
ANSWER IS C
Question: A tank is filled by 3 pipes with uniform flow. The first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone. The 2nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe. The time required by first pipe is
A.13 hours
B.45 hours
C.15 hours
D.12 hours
Answer: C.15 hours
Explanation: If first pipe fills tank in x hrs, then second pipe fills tank in x-5 hrs and 3rd pipe fills tank in x-9 hrs, then
as per given condition
1/x +1/(x-5) = 1/(x-9)
solving it, we get x= 15 hrs
ANSWER:C
Question: A and B can finish a work in 16 days while A alone can do the same work in 32 days. In how many days B alone will complete the work?
A.76 days
B.48 days
C.98 days
D.32 days
Answer: D.32 days
Explanation: B = 1/16 – 1/32 = 1/32 => 32 days
Answer: D
Question: Convert 2/5 to a decimal
A.0.1
B.0.2
C.0.3
D.0.4
Answer: D.0.4
Explanation: Divide 2 by 5: 2 / 5 = 0.4
Answer: 2/5 = 0.4 (D)
Question: Last year 28 members of a certain club traveled to England, 28 members traveled to France, and 30 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
A.52
B.69
C.71
D.73
Answer: B.69
Explanation: n(E or F or I) = n(E) + n(F) + n(I) - n(E and F) - n(F and I) - n(I and E) +n(E and F and I)
n(E or F or I) = 28+ 28 + 30 - 0 - 11 - 6 + 0
Why is the number of people who traveled to E and F and I 0? Because no one traveled to both England and France. So obviously, no one would have traveled to England, France and Italy.
n(E or F or I) = 69
Answer (B)
Question: The batting average of a particular batsman is 62 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
A.179
B.208
C.210
D.225
Answer: D.225
Explanation: Explanation:
Total runs scored by the batsman = 62*46 = 2852 runs
Now excluding the two innings the runs scored = 58*44 = 2552 runs
Hence the runs scored in the two innings = 2852 – 2552 = 300 runs.
Let the highest score be x, hence the lowest score = x – 150
x + (x - 150) = 300
2x = 450
x = 225 runs
ANSWER D
Question: A person bought 118 glass bowls at a rate of Rs. 12 per bowl. He sold 102 of them at Rs. 15 and the remaining broke. What is the percentage gain for A?
A.40
B.300/11
C.243/7
D.475/59
Answer: D.475/59
Explanation: CP=118*12=1416 and SP=102*15=1530
Gain %= 100*(1530-1416)/1100= 11400/1416=475/59
ANSWER:D
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability T that all three secretary are assigned at least one report?
A.8/9
B.64/81
C.4/9
D.16/81
Answer: C.4/9
Explanation: I got the same answer: Here's my reasoning
First Report you have 3 choices
Second Report you have 2 choices
Third Report you have 1 choice
Fourth report 3 choices again
Then total number of ways is: 3*2*1*3=3^2*2
This is not correct. You have assumed that the 4th report must go to someone who already has a report. There is no such constraint. You can easily give the 1st and 2nd reports to secretary 1, 3rd report to secretary 2 and 4th report to secretary 3. But you have ignored all such cases.
The number of ways of ensuring at least one report goes to each secretary is 4C2 (select 2 reports out of 4 which go to the same person)*3C1 (select the person who must type 2 reports)*2! (since you have 2 reports left which you must distribute to the 2 remaining people such that each person gets one) = 36
Required probability T= 36/81.C
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
A.80.56 km/h
B.85.34 km/h
C.95.05 km/h
D.98 km/h
Answer: B.85.34 km/h
Explanation: Ans.(B)
Sol. Total distance = 64 × 8 = 512 km
Now speed = 512/6 = 85.34 km/h
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.34
B.56
C.72
D.35
Answer: C.72
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: Option C
Question: Peter invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 4 years and to $ 500 at the end of another 2 years. What was the rate of interest in which he invested his sum?
A.12%
B.12.5%
C.67%
D.25%
Answer: D.25%
Explanation: Lets assume the Principal Amount (initial amount invested) to be P
rate of interest to beRand time as T. We need to find R
Now After a time of 4years the principal P amounts to $400 and after a time of 6years ( question says after another 6years so 4+2) P becomes $500.
Formulating the above data
Amount (A1) at end of 4years
A1= P(1 + 4R/100) = 400
Amount (A2) at end of 6years
A2 = P(1 + 2R/100) = 500
Dividing A2 by A1 we get
(1 + 4R/100)/(1 + 2R/100) = 5/4
after cross multiplication we are left with 4R =100 which gives R = 25%
Option: D
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.42
B.70
C.140
D.196
Answer: D.196
Explanation: Ans: 196
7C1 * 8C2
Answer D)
Question: If a positive integer n is divided by 5 , the remainder is 3. which of the number below yields a remainder of 0 when it is divided by 5
A.n+3
B.n+2
C.n-2
D.n-1
Answer: B.n+2
Explanation: Correct Answer : B
n is divided by 5 , the remainder is 3
n=5k+3 (k is integer)
add 2 to both sides of the above equation
n+2=5k+5
=5(k+1)
n+2 divided by 5 yields a remainder to zero.
Question: The second of two numbers is two less than three times the first. Find the numbers if there sum is
54.
A.7-19
B.8-20
C.10-16
D.14-40
Answer: D.14-40
Explanation: We are looking for two numbers.
#1 - x
#2 - 3x â€“ 2
The sum is 54. #1 + #2 = 54
Substituting x + 3x â€“ 2 = 54
4x â€“ 2 = 54
4x = 56
x = 14
The first number is 14, the second number is two less than three times 14 or 40.
correct answer D
Question: The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $10.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
A.$4.50
B.$10.2
C.$5.30
D.$5.50
Answer: B.$10.2
Explanation: I Tried using Time/Rate approach:-
Initial Price Difference = 10.80 - 3.20 = 7.60
Price of Corn increasing by 5x
Price of Wheat decreasing by x(1.4)-x = .4x
Since both the quantities are moving towards reducing the Price Gap hence:-
Relative Increase = 5x +.4x
Let T be the Time by which GAP is filled so,
7.6 = T(5.4x) -> T= (7.6)/5.4X
Final Price = 3.20 + 5X * T -> 3.20 + 5*7.6/5.4 = 10.2
Answer B.
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 40 percent on clothing, 30 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
A. 2.8%
B. 3.6%
C. 4%
D. 5.2%
Answer: C. 4%
Explanation: Let amount spent by Jill = 100
Clothing=40, Food=30, others=30
Tax on clothing= 1.6
Tax on others=2.4
Percentage= 4/100= 4%
Answer: C
Question: Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 47 days. On which day of the week in February was the task completed?
A.Monday
B.Tuesday
C.Wednesday
D.Thursday
Answer: A.Monday
Explanation: This type of story problem is essentially just about a repeating pattern and a 'remainder.'
We're told that Harriet planned to complete a certain task on WEDNESDAY, January 1, but because of illness the completion date was postponed 47 DAYS. We're asked on what day of the week the task was actually completed on.
Since the task was supposed to be completed on a Wednesday....
A 1 day postponement would be Thursday
A 2 day postponement would be Friday
A 3 day postponement would be Saturday
A 4 day postponement would be Sunday
A 5 day postponement would be Monday
A 6 day postponement would be Tuesday
A 7 day postponement would be Wednesday
A 8 day postponement would be Thursday
Etc.
So this question is ultimately asking how many 'groups of 7' are there, and how many 'leftover days' are there, when you postpone 47 days.
47/7 = 6 remainder 5
This means that there are 6 full weeks AND 5 extra days after a Wednesday....Thus, the task was completed on a Monday.
A
Question: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet? (43,560 square feet = 1 acre)
A.$5,330
B.$3,360
C.$1,350
D.$300
Answer: D.$300
Explanation: Basically the question an error. 1 acre = 43,560 square feet and if it is then the answer is 300 (D)
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:?
A.Rs.8467
B.Rs.8428
C.Rs.8400
D.Rs.8429
Answer: C.Rs.8400
Explanation: Ratio of their shares
= 22500 : 35000
= 9:14
Deepak's share
= 13800 * 14/23
= Rs.8400.
Answer:C
Question: With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 2 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
A.187 km
B.480 km
C.278 km
D.240 km
Answer: D.240 km
Explanation: Let the distance be x km. Then,
x/(7 1/2) - x/8 = 2
2x/15 - x/8 = 2 => x = 240 km.
Answer:D
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
A.2
B.2 1/2
C.3
D.3 1/2
Answer: B.2 1/2
Explanation: Ratio; white: black: gray = 3: 5: (3+5) = 3: 5: 8
If 2 gallons of the mixture is needed <==> Need 2 gallons of gray paint.
Then,
3: 5: 8 = x: y: 2
3/8 = x/2; x = 3/4
5/8 = y/2; y = 5/4
You need 3/4 gallon of white. You have to buy 1 gallons.
You need 5/4 gallons of black. You have to buy 1 gallon and another 1/2 gallon of black.
The least amount of paint = 1 + 1 + 1/2 = 2.5.
ANSWER:B
Question: A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability T that both will be juniors?
A.1/10
B.1/5
C.2/9
D.2/5
Answer: C.2/9
Explanation: I think you're right. The other way to do it (but the long way) is to figure out the probability that it is not two Juniors.
2 seniors = P(Senior) * P(Senior) = 2/9
1 Senior and 1 Junior = (1/2) *(5/9)*2 = 5/9
Probability that it is not two Juniors is 5/9+2/9 = 7/9 so the probability T that it is two juniors is 1- (7/9) = 2/9.C
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?
A.2 meters
B.6 meters
C.5 meters
D.3 meters
Answer: C.5 meters
Explanation: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 120,000 m : C is the circumference
C = 5 meters
correct answer C
Question: Solve:-
666 x 666 x 666 + 555 x 555 x 555 = ?(666 x 666 - 666 x 555 + 555 x 555)
A.888
B.333
C.555
D.1221
Answer: D.1221
Explanation: Given Exp. = (a3 + b3) = (a + b) = (666 + 555) = 1221(a2 - ab + b2)
Answer D
Question: Simplify (212 * 212 + 312 * 312 )
A.132288
B.142088
C.142188
D.142288
Answer: D.142288
Explanation: Explanation:
Trick: Above equation can be solved by using following formula
(a2+b2)=1/2((a+b)2+(a−b)2)
Answer: Option D
Question: Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
A.33
B.77
C.48
D.99
Answer: C.48
Explanation: Sravan's one day's work = 1/25 - 1/75 = 2/75
Sravan worked for 8 days. So, his 8 days work = 8 * 2/75 = 16/75
Sravan completed 16/75th of total work.
So, his share is 16/75 * 225 = Rs. 48.
Answer: C
Question: If y exceeds x by 30%, then x is less than y by?
A.16 2/9%
B.16 3/3%
C.16 2/3%
D.23 1/13%
Answer: D.23 1/13%
Explanation: X=100	y=130
130------30
100-------? => 23 1/13%
Answer:D
Question: A certain number of men can do a work in 20days. If there were 4 men less it could be finished in 5days more. How many men are there?
A.10
B.20
C.25
D.30
Answer: B.20
Explanation: The original number of men = 4(20+5)/5 = 20men
Answer is B
Question: Janet covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
A.1 hour 45 minutes
B.2 hours
C.2 hours 30 minutes
D.3 hours
Answer: D.3 hours
Explanation: Janet covered a distance of 340 miles between city A and city B taking a total of 5 hours. time taken at 60:time taken at 80::(greater speed-average speed):(average speed-lower speed)
average speed is 340/5=68
That gives the answer 3:2=D
Question: . A car covers a distance of 742 km in 7 hours. Find its speed?
A.104
B.55
C.148
D.150
Answer: C.148
Explanation: 742/5 = 148 kmph
Answer: C
Question: 5216 x 51 = ?
A.212016
B.266016
C.266436
D.216314
Answer: B.266016
Explanation: Normal way of multiplication may take time. Here are one alternative.
5216 x 51 = (5216 x 50) + 5216 = (5216 x 100)/2 + 5216
= 521600/2 + 5216 = 260800 + 5216 = 266016
Answer is B
Question: A garrison of 400 men had a provision for 31 days. After 27 days 200 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
A.65 days
B.45 days
C.8 days
D.16 days
Answer: C.8 days
Explanation: 400 --- 31
400 --- 4
200 --- ?
400*4 = 200*x => x =8 days.
Answer: C
Question: A certain Deep Blue paint contains 45 percent blue pigment and 55 percent red pigment by weight. A certain green paint contains 35 percent blue pigment and 65 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
A.1.5
B.2.5
C.3.5
D.2.75
Answer: D.2.75
Explanation: 10 Grams of combined mixture and 40% blue pigment means that the mixtures were mixed 50% each. Thus 5 grams a piece. Out of the 5 grams of the Dark Blue paint, 60% is red. Therefore, 5*.55 =2.75 Grams of red pigment
Question: the sum of 7th and 23rd term of A.P. is equal to the sum of 8th , 15th and 13 th term . find the term which is 0
A.6
B.8
C.10
D.12
Answer: A.6
Explanation: t7 + t23 = t8 + t15 + t13
=> a+6d + a+22d = a+7d + a+14d + a+12d
=> a +5d = 0
=> t6= 0 i.e. 6th term is zero.
ANSWER: A
Question: Two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A.11 sec.
B.15 sec.
C.13.3 sec.
D.17 sec.
Answer: C.13.3 sec.
Explanation: Speed of the first bullet train = 120/10 m/sec = 12 m/sec.
Speed of the second bullet train = 120/20 m/sec = 6 m/sec.
Relative speed = (12 + 6) = 18 m/sec.
Required time = (120 + 120)/18 sec = 13.3 sec.
C
Question: A train crosses a pole in 4 sec while travelling at a speed of 135 kmph, what is the length of the train?
A.135 m
B.140 m
C.145 m
D.150 m
Answer: D.150 m
Explanation: Explanation:
D = 135 * 5/18 * 4 = 150 m
Answer: Option D
Question: Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
A.9/25
B.9/50
C.18/25
D.13/20
Answer: A.9/25
Explanation: EXPLANATION:
S = {1, 2, 3, … , 49, 50}
E = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 7, 14, 21, 35, 42, 49}
n(S) = 50
n(E) = 18
P(E) = n(E)/n(S) = 18/50
= 9/25
ANSWER IS A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 60 days. If both of them work together, then the number of days required to complete the work is?
A.60/7 days
B.10 days
C.12 days
D.14 days
Answer: A.60/7 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 Ã— 60/70 = 60/7 days
A)
Question: Average of first five multiples of 5 is
A.9
B.11
C.13
D.15
Answer: D.15
Explanation: Explanation:
Average=5(1+2+3+4+5)/5=15
Answer: Option D