RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A student is ranked 21th from right and 11th from left. How many students are there in totality ?
A.18
B.19
C.20
D.31
Answer: D.31
Explanation: From right 21 , From left 11
Total = 21+11-1 = 31
ANSWER:D
Question: In the formula V = 1/(3r)^4, if r is halved, then V is multiplied by
A.64
B.8
C.16
D.1/8
Answer: C.16
Explanation: Say r=2 => V1 = 1/1296
when r=1; V2 = 1/81
V2 = 16*V1.
Answer=C=16
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A.76 seconds
B.18 seconds
C.40 seconds
D.19 seconds
Answer: C.40 seconds
Explanation: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (2/25)
= 40 seconds
Answer: C
Question: In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
A.50
B.45.
C.40.
D.30.
Answer: A.50
Explanation: Given there are 50 students , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
Answer: option A is correct.
Question: At the end of year X, automobile installment credit accounted for 43% of all outstanding consumer installment credit. At that time automobile finance companies extended $50 billion of credit, or 1/4 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
A.450
B.465.12
C.475
D.500.15
Answer: B.465.12
Explanation: System of Equations
a = (43/100) c
(1/4) a = 50 --> a = 200
Substitution
200 = (43/100) c
c = (100/43) 200
Calculate
200/43 * 100
- The the correct answer is 465.12. The correct answer is B.
Question: Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 45 more revolutions than gear P?
A.45
B.80
C.90
D.100
Answer: C.90
Explanation: Gear Q makes 30 more revolutions each 60 seconds.
The time to make 45 = 30*1.5 more revolutions is 60*1.5 = 90 seconds.
The answer is C.
Question: A cistern is filled by pipe A in 12 hours and the full cistern can be leaked out by an exhaust pipe B in 18 hours. If both the pipes are opened, in what time the cistern is full?
A.50hrs
B.60hrs
C.36hrs
D.80hrs
Answer: C.36hrs
Explanation: time taken to full the cistern=(1/12-1/18)hrs
=1/36
=36hrs
ANSWER:C
Question: A 72 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A.8
B.12
C.18
D.14
Answer: C.18
Explanation: Amount of salt = 7.2
Assume x gallons of water are added.
7.2 / 72 + x = 8/100
720 = 8x + 576
8x = 144
x = 18
Correct Option: C
Question: A pet shop sells 50 rabbits for Rs. 2000 at a profit of Rs. 12 per rabbit. Find the cost price for one rabbit?
A.20
B.52
C.28
D.40
Answer: C.28
Explanation: SP per rabbit = 2000/50 = Rs. 40Profit per rabbit = Rs. 12 CP per rabbit = 40 - 12= Rs. 28Answer: C
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
A.63^4
B.62^5
C.62(62^4)
D.63(62^4)
Answer: D.63(62^4)
Explanation: Total number of passwords = number of 4 character password +number of 5 character password
= 62^4 + 62^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^4(1+ 62)
=62^4 * 63
Answer D
Question: A can do a work in 20 days. B is 30% more efficient than A. How many days does B alone take to do the same job?
A.121/23
B.129/12
C.198/13
D.200/13
Answer: D.200/13
Explanation: Ratio of times taken by A and B = 130:100 = 13:10
suppose B alone to take x days to do the work
then, 13:10::20:x
13x= 10*20
x=200/13 days
correct option is D
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
A.1 : 8
B.1 : 0
C.1 : 2
D.1 : 1
Answer: D.1 : 1
Explanation: Ratio of investments of P and Q is 2 : 5
Total salary claimed by P = 12 * 5000 = Rs. 60000
Total profit = Rs. 2 lakhs.
Profit is to be shared = Rs. 140000
Share of P = (2/7) * 140000 = Rs. 400000
Share of Q = Rs. 100000
Total earnings of P = (60000 + 40000) = Rs. 100000
Ratio of their earnings = 1 : 1
Answer: D
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction f of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
A.11/14
B.13/18
C.4/7
D.3/7
Answer: A.11/14
Explanation: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.
2/9 of the votes on a certain resolution have been counted--> 4 counted and 18-4=14 votes left to be counted;
3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;
Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus f=11/14 of the remaining votes must be against.
Answer: A.
Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?
A.1320
B.680
C.820
D.720
Answer: A.1320
Explanation: Out of 12 participants, the first three prizes can be won in,
12P3 = 12! / (12 - 3)!
= 12 X 11 X 10
= 1320 ways
ANSWER:A
Question: X,Y and Z can complete a piece of work in 24,6 and 12 days respectively.Working together, they will complete the same work in:
A.24/7days
B.3/7days
C.35/7days
D.12/24days
Answer: A.24/7days
Explanation: X+Y+Z day work = 1/24+1/6+1/12 = 7/24
X,Y,Z complete the work in 24/7 days
ANSWER A
Question: The last day of the century cannot be:
A.Sunday
B.Wednesday
C.Friday
D.Saturday
Answer: D.Saturday
Explanation: SOLUTION :
100 years have 5 odd days. Hence the last day of 1st century is a Friday.
200 years have 10 odd days or 1 week + 3 odd days. Hence, the last day of the 2nd century is a Wednesday.
300 years have 15 odd days or 2 week + 1 odd day. Hence, the last day of the 3rd century is a Monday.
400 years have 0 odd days. Hence, the last day of the 4th century is a Sunday.
ANSWER IS D
Question: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
A.7
B.8
C.9
D.11
Answer: C.9
Explanation: The total of seven numbers = 7X9 = 63
The total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54
So, the middle number is (63 - 54 ) = 9
C
Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:00 am, in the same direction from the same station, with a speed of 80 km/hr. What time will the second train catch the first train?
A.9:00 am
B.10:00 am
C.11:00 am
D.12:00 noon
Answer: B.10:00 am
Explanation: In one hour, the first train travels 60 km.
The second train catches the first train with a relative speed of 20 km/h.
The second train will catch the first train at 10:00 am.
The answer is B.
Question: A family consists of two grandparents, two parents, and four grandchildren. The average age of the grandparents is 66 years, the average age of the parents is 40 years, and the average age of the grandchildren is 7 years. What is the average age (in years) of the family?
A.26
B.28
C.30
D.32
Answer: C.30
Explanation: Total age of the grandparents = 66 Ã— 2 = 132
Total age of the parents = 40 Ã— 2 = 80
Total age of the grandchildren = 7 Ã— 4 = 28
Average age of the family = (132+80+28)/8 = 240/8 = 30 years
The answer is C.
Question: At a baseball game, 10% of the fans did not wear ball caps, 60% of the remaining fans wore ball caps for the home team. What percentage of the fans wore ball caps for the visiting team?
A.64% of the attendees wore ball caps for the visiting team.
B.36% of the attendees wore ball caps for the visiting team.
C.44% of the attendees wore ball caps for the visiting team.
D.54% of the attendees wore ball caps for the visiting team.
Answer: B.36% of the attendees wore ball caps for the visiting team.
Explanation: Explanation:Let total number of fans be 100,Then, number of fans not wearing ball caps = 10.Number of fans with home team ball cap= 60% of 90 = 54.Total number of fans with visitor team ball cap = 100 – (10 + 54) = 36.Thus, 36% of the attendees wore ball caps for the visiting team.Answer: Option B.
Question: Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.24 sec
B.18.8 sec
C.14.24 sec
D.12.24 sec
Answer: D.12.24 sec
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 180 + 160 = 340 m.
Required time = 340 * 9/250 = 306/25 = 12.24 sec.
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A.12/477
B.12/487
C.12/455
D.12/416
Answer: C.12/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer: C
Question: A 10-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
A.2/3
B.3/4
C.1/5
D.2/5
Answer: D.2/5
Explanation: The longer wire will form a square with an area more than 4 if the wire is cut at a point within two meters of either end. The probability of this is 4/10 = 2/5.
The answer is D.
Question: 5 - [5 - {5 - 5(5 + 5)}] = ?
A.5
B.-45
C.45
D.50
Answer: B.-45
Explanation: Explanation:
=> ? = 5 - [5 - {5 - 5 × 10}] = 5 - [5 - (-45)]
= 5 - (50) = - 45
Answer: Option B
Question: A class consists of 5 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
A.9
B.18
C.32
D.40
Answer: D.40
Explanation: Easiest way is to treat it like an arrangements question in the following manner:
From the boys we need to select 2 to be clown and pet: This can be done in 5*4 ways
Similarly for the girls, we have 4*5 ways.
Thus total = 20+20 = 40 ways. Thus D is the correct answer.
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
A.59:31
B.3:2
C.118:126
D.193:122
Answer: A.59:31
Explanation: 7:3=>7x+3x=10x
2:1=>2y+1y=3y
3:2=>3z+2z=5z
10x=3y=5z
Take LCM of 10,3,5=30
Or simply;
x=3
y=10
z=6
So,
Ratio of Milk:Water= (7x+2y+3z)/(3x+y+2z)=59/31
Ans:A
Question: Ravi and sunil are partners in a business. Ravi invests Rs.18,000 for 8 months and Sunil invested Rs.10000 for 10 months then after one year ratio of their profits will be
A.1:3
B.36:25
C.3:2
D.4:5
Answer: B.36:25
Explanation: =(18000*8):(10000*10)
=144000:100000
=36:25
ANSWER:B
Question: Two pipes A and B can separately fill a tank in 16 and 18 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 18 minutes. What is the capacity of the tank?
A.590 liters
B.720 liters
C.740 liters
D.860 liters
Answer: B.720 liters
Explanation: 1/16 + 1/18 - 1/x
= 1/18
x = 16
16 * 45 = 720
Answer:B
Question: the population of a country is increased by 2% in one year and 3% in next year.what is the combined growth of population in these two year
A.4.06%
B.5.06%
C.6.06%
D.7.06%
Answer: B.5.06%
Explanation: concept of successive percentage, total percentage= x+y+xy/100
put x=2 and y=3
combined growth= 2+3+2*3/100
= 5+0.06= 5.06%
ANSWER:B
Question: Debony normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debony averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
A.135
B.105
C.95
D.75
Answer: D.75
Explanation: Debony normally drives to work in 45 minutes at an average speed of 40 miles per hour.
Use formula D = RT
Car:
T1: 45 min
R1: 40 mph
D1: [(40*45)/60] = 30 miles
Bike:
T1:?
R2: 12 - 16 mph
D2: 08*D1 = 24 miles
T1: [(24*60)/12] = 120 min (Only 12 mph speed yields an answer given in the choices)
Therefore, Deb has to leave 120 min - 45 min = 75 min early
ANSWER: D
Question: What is the area inscribed by the lines y =6, x = 3, y = 2x-4 on an xy-coordinate plane?
A.a) 1
B.b) 2
C.c) 4
D.d) 8
Answer: C.c) 4
Explanation: First, let's graph the lines y = 6 and x = 3
At this point, we need to find the points where the line y = 2x-4 INTERSECTS the other two lines.
For the vertical line, we know that x = 3, so we'll PLUG x = 3 into the equation y = 2x-4 to get y = 2(3)-4 = 2
Perfect, when x = 3, y = 2, so one point of intersection is (3,2)
For the horizontal line, we know that y = 6, so we'll PLUG y = 6 into the equation y = 2x-4 to get 6 = 2x-4. Solve to get: x = 5
So, when y = 6, x = 5, so one point of intersection is (5,6)
Now add these points to our graph and sketch the line y = 2x-4
At this point, we can see that we have the following triangle.
The base has length 2 and the height is 4
Area = (1/2)(base)(height)
= (1/2)(2)(4)
= 4
Answer:
C
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
A.228
B.2769
C.278
D.502
Answer: D.502
Explanation: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85
5x/100 + 90 – 6x/100 = 85
x/100 = 5
=> x = 500
Answer: D
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many R women are currently in the room?
A.12
B.14
C.15
D.24
Answer: D.24
Explanation: the number of women doubled means that they have become 24 from 12..
and we have to tell the current strength so 24 is the answer..
let the number be 4x and 5x..
given 4x+2=14.. so x=3..
women number=5*3-3=12, then doubled=24..
ans D
Question: If 3^20 x 2^20 =6^n what is the value of n?
A.18
B.20
C.22
D.24
Answer: B.20
Explanation: 3^20 *2^20 = 6^n
6^20 =6^n therefore n=20
B
Question: In how many ways can the letters of the word "VENUS" be arranged?
A.60
B.80
C.100
D.120
Answer: D.120
Explanation: The total ways of arranging the letters = 5! = 120
The answer is D.
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 3 letters in its codes, and all letters can be repeated in any one code?
A.15600
B.16226
C.17576
D.18278
Answer: D.18278
Explanation: 1-letter codes
26 letters, so there are 26 possible codes
2-letter codes
There are 26 options for the 1st letter, and 26 options for the 2nd letter.
So, the number of 2-letter codes = (26)(26) = 26²
3-letter codes
There are 26 options for the 1st letter, 26 options for the 2nd letter, and 26 options for the 3rd letter.
So, the number of 3-letter codes = (26)(26)(26) = 26³
So, the TOTAL number of codes = 26 + 26² + 26³=18278
ANSWER:D
Question: Oil cans x and y are right circular cylinders and the height and radius of y are each 10 times those of x. If the oil in can x filled to capacity sells for $1, how much does the oil in y sell for if y is only half filled?
A.$400
B.$450
C.$500
D.$550
Answer: C.$500
Explanation: formula for vol of a cyl is PI*r^2*h
so Vy = 1000*Vy
y when half filled will cost 500 times x so ans is C
Question: At the moment there are 54,000 tagged birds in a certain wildlife refuge. If exactly 20 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?
A.36.95
B.37.5
C.34.44
D.33.91
Answer: B.37.5
Explanation: All birds = 54000
Currently Tagged = 54000 * 20/100 = 10800
So Untagged birds = 54000 - 10800 = 43200
Half of all birds = 27000
The number of birds to be tagged to make half of all birds tagged = 27000 - 10800 = 16200
So now the question remains - 16200 is how much percentage of untagged birds (43200)
= 16200 * 100 /43200
= 37.5 %
Answer (B)
Question: How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?
A.60 kg
B.63 kg
C.50 kg
D.77 kg
Answer: B.63 kg
Explanation: Explanation :
Let the rate of second quality be Rs x per Kg.
Step 1 :
S.P of 1 kg of mixture = Rs. 9.24
Gain = 10%
C.P of 1 kg of mixture =[100/(100+10)×9.24].
=> Rs. 8.40.
Thus, the mean price = Rs. 8.40.
Step 2 :
C.P of 1 kg of sugar of 1st kind = 900p
C.P of 1 kg of sugar of 2nd kind = 700p
Mean price = 840p
By the rule of alligation, we have:
C.P. of 1kg of C.P. of 1kg of
sugar of 1st sugar of 2nd
kind (900p) kind (700p)
\ /
Mean Price
(840p)
/ \
840 - 700 : 900 - 840
(140) (60)
=> Required ratio = 140 : 60 = 7 : 3.
Step 3:
Let, x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind, then
=>7:3=x:27.
=>7/3=x/27.
=>x=(7/3)x 27.
=>x=63.
Answer : B
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
A.25/42
B.25/46
C.25/41
D.25/48
Answer: A.25/42
Explanation: Total fruits = 9
Since there must be at least two apples,
(⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃
=25/42.
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 9m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A.54
B.36
C.75
D.28
Answer: B.36
Explanation: A/8 = 9 * 9 => A = 9 * 9 * 8
x * 2x =9 * 9 * 8
x = 18 => 2x = 36
Answer:B
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
A.2.9
B.2.6
C.2.5
D.2.4
Answer: C.2.5
Explanation: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
Answer:C
Question: If 3x=2y=z, what is x+y, in terms of z?
A.5z/6
B.2z
C.z/3
D.3z/5
Answer: A.5z/6
Explanation: 3x=2y=z
x = z/3
and y = z/2
x+y = z/3 + z/2 = 5z/6
Answer is A
Question: A factory produces 5500 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
A.1100 toys
B.5487 toys
C.6113 toys
D.2354 toys
Answer: A.1100 toys
Explanation: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 5 days) by 5.
5500 /5 = 1100 toys
correct answer A
Question: 8 friends decides to eat pizza. 4 friends eat type 1 pizza which cost 100 each. Remaining friend buy pizza having off on it and saves 100 and each of them pay equal money .Total bill is 800. what is % of off on each pizza.
A.20%
B.30%
C.10%
D.15%
Answer: A.20%
Explanation: Solution: A.8 friend = 800. per friend 100. Saves 100 and each of them paid 100 and saved 100/4=25. so pizza had a 20% off
Question: A family made a down payment of $55 and borrowed the balance on a set of encyclopedias that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
A. 6%
B. 8%
C. 7.7%
D. 10%
Answer: C. 7.7%
Explanation: borrowings = 400-50 = 350
total pmt = 23x16 + 9 = 377
so int = 377 - 350 = 27
interest in terms of borrowing = 27/350 = 7.7%
Answer is C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 9 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
A.22
B.54
C.88
D.37
Answer: B.54
Explanation: Explanation:
Lot the total number of workers be v Then,
8OOOv = (18000 * 9) + 6000 (v - 9) <=> 2000v = 108000 <=> v = 54
Answer: B) 54
Question: which of the following could be the greatest common factor of positive integers 10 and 15 ? I) 5 II) 4 III) 2
A.II only
B.I only
C.III only
D.I,II only
Answer: B.I only
Explanation: 10=2*5
15=3*5
GCF =5
Answer : B
Question: During 2001, a stock lost 90 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
A.70 percent decrease
B.40 percent decrease
C.20 percent increase
D.60 percent increase
Answer: A.70 percent decrease
Explanation: Let the value of the stock in 2000 be 100, then in 2001 its value would be 100*(1-90/100)=100*0.1=10 and in 2002 its value would be 10*(1+200/100)=30. Hence during those two years the value of the stock decreased from 100 to 30, so by 70%.
Answer: A.
Question: The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number
A.400
B.256
C.120
D.420
Answer: D.420
Explanation: Explanation:
Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM
144 * x = 12 * 5040
x = (12*5040)/144 = 420
Option D
Question: A man sitting in a train which is traveling at 60 kmph observes that a goods train, traveling in opposite direction, takes 12 seconds to pass him. If the goods train is 300 m long, find its speed
A.52 kmph
B.56 kmph
C.58 kmph
D.30 kmph
Answer: D.30 kmph
Explanation: Explanation:
Relative speed = 300/12 m / sec = ((300/12)×(18/5)) kmph = 90 kmph.
Speed of goods train = (90 - 60) kmph = 30 kmph
Answer: Option D
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
A.56
B.40
C.30
D.22
Answer: A.56
Explanation: We have two series here
34, 37, 40, 43, ... (Increase by 3)
7, 14, 28, ... (Multiply by 2)
next term is 28 Ã— 2 = 56
ANSWER A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?
A.3/16
B.15/16
C.11/16
D.5/8
Answer: B.15/16
Explanation: There are 16 possible outcomes and only one (1111) has a sum equal or less than 4.
P(the sum is greater than 4) = 1 - 1/16 = 15/16
The answer is B.
Question: Jim is able to sell a hand-carved statue for $670 which was a 25% profit over his cost. How much did the statue originally cost him?
A.$496.30
B.$536.00
C.$555.40
D.$574.90
Answer: B.$536.00
Explanation: 670 = 1.25*X
X = 670/1.25 = 536
$536, which is (B).
Question: A train crosses a tunnel of 1200 m in 45 sec, same train crosses another platform of length 180 m in 15 sec. then find the length of the train?
A.350m
B.400m
C.272m
D.330m
Answer: D.330m
Explanation: Length of the train be ‘X’
(X + 1200)/45 = (X + 180)/15
X + 1200 = 3X + 540
2X = 660
X = 330m
Answer: D