RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 26th of September 1990?
A.Monday
B.Tuesday
C.Wednesday
D.Thursday
Answer: C.Wednesday
Explanation: 19th September
1987: Saturday
1988: Monday (due to leap year)
1989: Tuesday
1990: Wednesday
Hence 26th September was a Wednesday.
The answer is C.
Question: A train 330 m long is running with a speed of 60 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?
A.18
B.6
C.5
D.54
Answer: A.18
Explanation: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 330 * 3/55 = 18 sec.
Answer: A
Question: What is the area inscribed by the lines y =4, x = 2, y = 6-2x on an xy-coordinate plane?
A.a) 1
B.b) 2
C.c) 4
D.d) 6
Answer: A.a) 1
Explanation: First, let's graph the lines y = 4 and x = 2
At this point, we need to find the points where the line y = 6-2x INTERSECTS the other two lines.
For the vertical line, we know that x = 2, so we'll PLUG x = 2 into the equation y = 6-2x to get y = 6-2(2) = 2
Perfect, when x = 2, y = 2, so one point of intersection is (2,2)
For the horizontal line, we know that y = 4, so we'll PLUG y = 4 into the equation y = 6-2x to get 4 = 6-2x. Solve to get: x = 1
So, when y = 4, x = 1, so one point of intersection is (1,4)
Now add these points to our graph and sketch the line y = 6-2x
At this point, we can see that we have the following triangle.
The base has length 1 and the height is 2
Area = (1/2)(base)(height)
= (1/2)(1)(2)
= 1
Answer:
A
Question: Kiran started a business investing Rs. 20,000. After 4 months, Sanket joined with a capital of Rs. 12000. At the end of the year, they earn a profit of Rs. 14,000. Find what will be the share of Sanket in the profit?
A.Rs. 4000
B.Rs. 4007
C.Rs. 4001
D.Rs. 4002
Answer: A.Rs. 4000
Explanation: Explanation:
Kiran : Sanket = (20000 * 12) : (12000 * 8) = 5 : 2
Sanket's share = Rs. 14,000 * (2/7) = Rs. 4000
ANSWER: A
Question: Rajan and Rakesh started a business and invested Rs.20000 and Rs.25000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs.15000. At the end of the year there was a profit of Rs.4600. What is the share of Mukesh?
A.2238
B.2378
C.1200
D.2877
Answer: C.1200
Explanation: Explanation:
Rajan is in the business for 12 months, Rakesh is for 4, and Mukesh is for 8.
Profits will be divided in ratio of (20 × 12) : (25 × 4) : (15 × 8) = 24 : 10 : 12
Share of Mukesh = 1246×4600=1200
Answer: C
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms in 4 hours, then the speed of the first train is:
A.47.4 km/hr
B.57.19 km/hr
C.68.13 km/hr
D.96.25 km/hr
Answer: D.96.25 km/hr
Explanation: Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = (440/4) = 110
x = (110/8) = 13.75
Hence, speed of first train = (7 x 13.75) km/hr = 96.25 km/hr.
Answer : D.
Question: A circular well with a diameter of 2 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
A.32 m3
B.36 m3
C.40 m3
D.44 m3
Answer: D.44 m3
Explanation: Solution
Volume	= πr2h
‹=› (22 /7 ×1×1×14)m3
‹=›44 m3.
Answer D
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 4 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
A.02:30 pm
B.03:30 pm
C.01:30 pm
D.04:30 pm
Answer: C.01:30 pm
Explanation: In 6 hours the inlet pipe will pump in water equal to 6*1/4 = 6/4 of the pool. So, 2/4 more than necessary, which should be compensated by the outlet pipe. To pump out 2/4 of the water the outlet pipe needs 8/4 = 2 hours.
Therefore, the outlet pipe should be opened at 9:30am + 6 hours - 2 hours = 01:30 pm.
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
A.20/9
B.20/2
C.20/7
D.40/2
Answer: C.20/7
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
Answer: C
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
A.6 days
B.2 days
C.8 days
D.3 days
Answer: B.2 days
Explanation: Work done by A in 2 days = 2/5
Remaining work = 3/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 3/5 * 10/3 = 2 days.
Answer: B
Question: A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
A.290
B.304
C.285
D.270
Answer: C.285
Explanation: In a month of 30 days beginning with a Sunday, there will be 4 complete weeks and another two days which will be Sunday and Monday.
Hence there will be 5 Sundays and 25 other days in a month of 30 days beginning with a Sunday
Average visitors on Sundays = 510
Total visitors of 5 Sundays = 510 × 5
Average visitors on other days = 240
Total visitors of other 25 days = 240 × 25
Total visitors = (510 × 5) + (240 × 25)
Total days = 30
Average number of visitors per day
=((510×5)+(240×25))/30
=((51×5)+(24×25))/3
=(17×5)+(8×25)=85+200=285
Answer is C.
Question: IT COSTS RE 1.TO PHOTOGRAPHY A SHEET OF PAPER. HOWEVER, 2% DISCOUNT IS ALLOWED ON ALL PHOTOCOPIES DONE AFTER FIRST 100 SHEETS.HOW MUCH WILL IT COST TO COPY 5000 SHEETS OF PAPER?
A.RS.3920
B.RS.3980
C.RS.4900
D.RS.4920
Answer: D.RS.4920
Explanation: TOTAL COST =RS.(1*100+(100-2)% OF 1*4000)
=RS.(10000+0.98*4000)=RS.(1000+3920)RS.4920
CORRECT OPTIONS: D
Question: There are 13 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 13 points that contain the point A?
A.66
B.105
C.182
D.210
Answer: A.66
Explanation: Any 2 points out 12 points will create triangle with third point A, so the answer is 12C2=66.
Answer: A.
Question: Find out the C.I on Rs.1000 at 4% p.a. compound half-yearly for 1 1/2 years.
A.A)Rs.41.20
B.B)Rs.51.20
C.C)Rs.61.20
D.D)Rs.71.20
Answer: C.C)Rs.61.20
Explanation: A = 1000(51/50)3
= 1061.20
1000
-----------
61.20
ANSWER:C
Question: A car takes 6 hours to cover a distance of 324 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A.50 Kmph
B.60 Kmph
C.65 Kmph
D.36 Kmph
Answer: D.36 Kmph
Explanation: Time = 6
Distence = 324
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 324/9 = 36 Kmph
D)
Question: A baseball card decreased in value 10% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
A.19%
B.30%
C.32%
D.36%
Answer: A.19%
Explanation: consider the initial value of the baseball card as $100
After first year price = 100*0.9 = 90
After second year price = 90 *0.9 = 81
final decrease = [(100 - 81)/100] * 100 = 19%
correct answer - A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 46 years. What will be the age of the B ten years hence?
A.39
B.92
C.28
D.96
Answer: B.92
Explanation: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 46 => b + c = 92 --- (2)
Answer: B
Question: Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
A.If x>y
B.X>=Y
C.If x < y
D.If x<=y
Answer: B.X>=Y
Explanation: Solution:-
X=4,3
Y=-4,3
So, X>=Y
B
Question: Sarah is driving to the airport. After driving at 25 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all?
A.100
B.175
C.210
D.245
Answer: A.100
Explanation: After driving at 25 miles per hourfor one hour, this distance left to cover is d-25. Say this distance is x miles.
Now, we know that the difference in time between covering this distance at 25 miles per hour and 50 miles per hour is 1+ 1/2 = 3/2 hours.
So, we have that x/25 - x/50 = 3/2 --> 2x/50 - x/50 = 3/2 --> x/50 = 3/2 --> x = 75.
Total distance = x + 25 = 100 miles.
Answer:A
Question: 12 men take 36 days to do a work while 12 women complete 3/4th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?
A.6 days
B.12 days
C.27 days
D.28 days
Answer: C.27 days
Explanation: Explanation:
1 man’s 1 day’s work = 1/ 36 × 12 = 1/432
10 men’s 1 day’s work = 10/432
12 women can finish the whole work in 4 × 36/3 = 48 days
1 woman’s 1 days work = 1/ 48 × 12 = 1/576
8 women’s 1 day’s work = 8/572 = 1/72
(10 men + 8 women)’s 1 day’s work = 10/432 + 1/72 = 10 + 6/432 = 16/432
= 1/27
Therefore, the required No. of days = 27 days.
Answer: Option C
Question: The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250.The sum of the numbers is :
A.30
B.50
C.60
D.90
Answer: C.60
Explanation: Solution
Let the numbers be 3x,4x and 5x.Then,
9x2+6x2+25x2 = 1250=50x2= 1250=x2 = 25=x = 5.
∴ Sum of numbers = (3x+4x+5x) = 12 x =(12x5) = 60.
Answer C
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
A.229
B.787
C.144
D.128
Answer: C.144
Explanation: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
4/x = 1/36 => x = 144 min.
Answer: C
Question: x^2 + sx + 72 = 0 has two distinct integer roots; how many values are possible for s?
A.3
B.6
C.8
D.12
Answer: D.12
Explanation: For a quadratic equation ax^2+sx+c=0, we know that -s/a is sum of roots and c/a is product of roots.
The quadratic equation here is x^2 + sx + 72 = 0, where product of roots is 72.
If we find all the factors of 72, we have the answer.
By prime factorization, we get 72= 2^3*3^2.
We know that total factors are (3+1)*(2+1) = 12 (Reason: with 2^n, we have n+1 possibilities. n^0 to n^n. so n+1)=D
Question: Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
A.22
B.33
C.14
D.16
Answer: C.14
Explanation: C
14
This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A.750
B.7500
C.8500
D.1500
Answer: B.7500
Explanation: A : B : C = 20000*24 : 15000*24 : 20000*18 = 20*4 : 15*4 : 20*3
= 4*4 : 3*4 : 4*3
= 4:3:3
Answer is B
B's Share = (25000 * 3)/10 = 7500
Question: A word is defined as a sequence of five dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
A.10
B.16
C.24
D.32
Answer: D.32
Explanation: 2^5 = 32
The answer is D.
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
A.8/3
B.2/1
C.8/5
D.5/8
Answer: B.2/1
Explanation: Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 450/3 = 150 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 150/75 = 2/1
Answer B
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $230, what were her original savings?
A.$900
B.$800
C.$1000
D.$920
Answer: D.$920
Explanation: If Linda spent 3/4 of her savings on furnitute, the rest
4 / 4 - 3 / 4 = 1 / 4 on a TV
But the TV cost her $230. So 1 / 4 of her savings is $230. So her original savings are 4 times $230 = $920
correct answer D
Question: A train passes a station platform in 33 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.195 m
B.240 m
C.300 m
D.360 m
Answer: A.195 m
Explanation: Speed = 54 x	5/18	m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then,	(x + 300)/33	= 15
x + 300 = 495
x = 195 m.Answer: Option A
Question: A husband and wife can complete a certain task in 2 and 3 hours respectively. Their children, Rae and Herman, can complete the same task in 4 and 6 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task?
A.a)15:46
B.b)1:2
C.c)12:23
D.d)5:18
Answer: B.b)1:2
Explanation: couples one hour work=1/2+1/3=5/6
so total time=6/5..
now, kids one hour work=1/4+1/6=5/12
so total time=12/5..
ratio=6/5:12/5=1/2
ans B
Question: Murphy and Cooper are having the same amount of petrol in the petrol tanks of their respective cars. Murphy can drive for four hours with that amount whole Cooper can drive for five hours.
They both starts together and keep driving for a few hours. After some time, they find that the amount of petrol remaining in one car is four times that of the other car.
Using all these facts, can you find out how long they drove their cars?
A.2 3/4 hours.
B.3 3/4 hours.
C.4 3/4 hours.
D.5 3/4 hours.
Answer: B.3 3/4 hours.
Explanation: Solution:
3 3/4 hours
Explanation:
Suppose that the amount of petrol in each of the cars in the beginning was M.
Now, suppose that they drove for X hours.
In that case, the amount of petrol used by one car in X hours will be = M*X /4
The amount of petrol used by the other car will be = M*X/5
Therefore, the petrol left in one car = M - M*X / 4
Petrol left in the other car = M - M*X / 5
Now, according to the question,
M - M*X / 5 = 4 (M - M*X / 4)
=> X = 15 / 4 = 3 3/4 hours.
Therefore Murphy and Cooper drove for 3 3/4 hours.
Answer B
Question: If e is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
A.√n + 1
B.n + 1
C.n^2 + 1
D.e + 2√e + 1
Answer: D.e + 2√e + 1
Explanation: If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
e = (x)^2 where x is a positive integer
To calculate -
(x+1)^2 = x^2 + 2x + 1
root(e) = x
Ans - e + 2 root(e) + 1
This should beD
Question: What is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square?
A.11
B.12
C.13
D.14
Answer: D.14
Explanation: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
the sum of the squares of the first 4 positive integers = 1^2 + 2^2 + 3^2 +4^2+5^2 = 55
the sum of the prime numbers between the first square(=1) and fourth square(=16) = 2+3+5+7+11+13=41.
So the difference between 41 and 55 is 14.
So the answer is (D).
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum X of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
A. 6x
B. 4x
C. 5x/3
D. 3x/2
Answer: B. 4x
Explanation: Note that we have 5positivetemperatures.
Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<X<5x --> only option B fits.
Answer: B.
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
A.6
B.5
C.7
D.9
Answer: D.9
Explanation: C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days
Answer:D
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
A.4 years
B.8 years
C.10 years
D.12 years
Answer: A.4 years
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years. Answer: Option A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 16 on Wednesday, what would be the value of D calculated on the following Saturday?
A.2520
B.2940
C.3360
D.3780
Answer: C.3360
Explanation: On Saturday, the value would be 7*6*5*16 = 3360
The answer is C.
Question: At an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
A.239
B.700
C.278
D.260
Answer: B.700
Explanation: Explanation:
Let the total votes are 100x. Then winning candidate got 84x, and losing candidate got 16x.
⇒ 84x – 16 x = 476
⇒ 68 x = 476
⇒ x = 7
Total votes are 700.
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
A.144º
B.150º
C.168º
D.180º
Answer: D.180º
Explanation: Angle traced by the hour hand in 6 hours =360/12x 6º= 180º.
Answer: Option D
Question: A cistern which could be filled in 4 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
A.76 hrs
B.99 hrs
C.55 hrs
D.20/3 hrs
Answer: D.20/3 hrs
Explanation: 1/4 - 1/x = 1/10
=> 20/3 hrs
Answer: D
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.1:96
B.1:97
C.1:99
D.1:28
Answer: A.1:96
Explanation: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144
= 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas
= 3x : 12x2 = 1 : 4x
= 1:96.
Answer:A
Question: The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
A.2
B.0
C.9
D.8
Answer: B.0
Explanation: It is clear that 22 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 0
Answer:B
Question: If the product of the integers a, b, c and d is 770, and if 1 < a< b< c< d, what is the value of a+ d?
A.10
B.13
C.16
D.18
Answer: B.13
Explanation: 770 = 2 * 5 * 7 * 11
So a= 2, x = 5, c= 7, d= 11
a+ d= 2 + 11 = 13
Answer - B
Question: If a2 - b2 =11 and a*b = 5, find a4 + b4.
A.62
B.181
C.170
D.171
Answer: D.171
Explanation: a2 - b2 = 11 : given
a4 + b4 - 2a2b2 = 112 : square both sides and expand.
a*b = 2 : given
a2b2 = 52 : square both sides.
a4 + b4 - 2(25) = 121 : substitute
a4 + b4 = 171
correct answer D
Question: What number should replace the question mark?
16, 23, 19, 22, 15, 25, ?
A.10
B.18
C.11
D.22
Answer: C.11
Explanation: C
11
There are two alternate sequences: +3 and -4.
Question: At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 16.9 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
A.13.0
B.13.3
C.13.6
D.13.9
Answer: A.13.0
Explanation: Let x be the factor by which the bacteria increases every three hours.
At 4:00 pm, the amount of bacteria was 10x and at 7:00 pm it was 10x^2.
10x^2 = 16.9
x^2=1.69
x=1.3
At 4:00 pm, the amount of bacteria was 10(1.3)=13 grams.
The answer is A.
Question: If each of 3 digit code is formed of integers from 1 to 25, inclusively, and each of the digits are different, how many possible codes are there?
A.13600
B.13500
C.13400
D.13800
Answer: D.13800
Explanation: Code consists of 3 digits and no digit is repeated.
First digit of the code can have 25 possibilities
Second digit can have 24 possibilities
Third digit can have 23 possibilities
Total number of possible codes = 25*24*23 = 13800
Answer: D
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A.3
B.4
C.5
D.2
Answer: D.2
Explanation: Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b2) = (1 + 108 1/3 %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l2 + b2) = 25lb
Adding 24lb on both sides
12l2 + 12b2 + 24lb = 49lb
12(l2 + b2 + 2lb) = 49lb
but 2(l + b) = 28 => l + b = 14
12(l + b)2 = 49lb
=> 12(14)2 = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l - b = 8 - 6 = 2m.
Answer: Option D
Question: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
A.2 1/10
B.2 2/5
C.2 1/2
D.2 7/8
Answer: B.2 2/5
Explanation: Car is travelling at a speed of 2/5 miles per 2 mins faster than the bus
i.e 12 mph faster than the buse
= 72 mph
So in 2 mins = 72 * 2/60 = 2.4
Answer is B.
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.28 seconds
B.27 seconds
C.40 seconds
D.128 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: Find the odd man out
74, 24, 82, 61, 10, 4
A.61
B.24
C.10
D.82
Answer: A.61
Explanation: 61 is the only odd number in the series.
ANSWER:A
Question: Tracey sold her house for 40 percent more than the amount that she bought it for. If she has to pay a brokerage fee of 5 percent of the selling price of the home, and then has to pay 40 percent of the leftover profit in taxes, what is the net after-tax percent profit Tracey makes on the sale?
A.12%
B.14.4%
C.16%
D.19.8%
Answer: D.19.8%
Explanation: Lets assume Cost price is 100. Then the selling price will be 1.4*100= 140.
5% brokerage fee= 5% of 140 = 7
After brokerage amount left is 140-7=133.
Next, taxes are 40% of left over profit which is 40% of (133-100)=40% of 33 which is 19.8.
Hence answer is D.
Question: If the ratio of the roots of the equation 16x2+px-32=0 is equal to that of the roots 8x2+rx-16=0, then:
A.2r=p
B.r=p
C.2p=r
D.3p=2r
Answer: A.2r=p
Explanation: 16x2+px-32=0 for this eqn... roots are R1=-p/16 R2=2
8x2+rx-16=0 for this eqn... roots are R3=-r/8 R4=2
As per Question, p/-32=r/-16
=> 2r=p
ANSWER:A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150m
B.170m
C.180m
D.158m
Answer: A.150m
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A