RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If x is an integer and (x)(x^2)(x^3) is positive, which of the following could be negative?
A.x^4
B.(x)(x^3)
C.(x)(x)
D.x + x^3
Answer: D.x + x^3
Explanation: Assuming) x is negative (makes it easier)
(-2)(-2^2)(-2^3)
(-2)^3.(-2)^3
The two negative numbers will remain negative, so they will both cancel out.
So we need an equation where x^n with n being odd.
a) not sufficient -> will always be positive
b) not sufficient -> equals x^4 which will always be positive
c) not sufficient -> equals x^2 which will always be positive
d) -2+-8 = -10!!!
e) 3*4=12 is positive (pemdas!)
Answer is D
Question: A bat is bought for Rs.420 and sold at a gain of 20% find its selling price
A.s.430/-
B.s.480/-
C.s.400/-
D.s.504/-
Answer: D.s.504/-
Explanation: 100 % ------> 420
120 % ------> 420*120/100
Selling price = Rs.504
D
Question: The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
A.176
B.140
C.150
D.179
Answer: B.140
Explanation: 1/2 * 14 * 20
= 140
Answer:B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.230
B.240
C.245
D.250
Answer: C.245
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer: Option C
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 15,6400, Deepak's share is:?
A.s.9520
B.s.8428
C.s.8400
D.s.8429
Answer: A.s.9520
Explanation: Ratio of their shares
= 22500 : 35000
= 9:14
Deepak's share
= 15640 * 14/23
= Rs.9520.
Answer:A
Question: Which of the following numbers has neither 3 or 5 as a distinct prime factor?
A.77
B.80
C.125
D.132
Answer: A.77
Explanation: 77=7*11
80=2^4*5
125=5^3
132=2^2*3*11
210=2*3*5*7
77 has distinct prime factors of 7 and 11.
Answer A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.5/5
B.5/1
C.5/9
D.5/2
Answer: C.5/9
Explanation: Two balls can be picked from nine balls in 9C2 ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done 5C1 . 4C1 ways.
The required probability
= (5 * 4)/9C2
= 20/36
= 5/9
Answer:C
Question: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
A.2
B.3
C.9
D.7
Answer: D.7
Explanation: Explanation:
Let the ten's digit be x and units digit by y.
Then,
(10x + y) - (10y + x) = 63
9(x - y) = 63
x - y = 7
Thus, none of the numbers can be determined.
Answer: D
Question: By walking at 3/4th of his usual speed, a man reaches office 5 minutes later than usual. What is his usual time?
A.15min
B.50min
C.65min
D.60min
Answer: A.15min
Explanation: let T be the usual time.
time spent=4T/3
therefore, 4T/3=T+5
4T=3T+15...therefor T=15min
ANSWER:A
Question: A hostel had provisions for 250 men for 44 days. If 50 men left the hostel, how long will the food last at the same rate?
A.55
B.40
C.50
D.60
Answer: A.55
Explanation: A hostel had provisions for 250 men for 44 days
If 50 men leaves the hostel, remaining men = 250 - 50 = 200
We need to find out how long the food will last for these 200 men.
Let the required number of days = x days
More men, Less days (Indirect Proportion)
(men) 250 : 200 :: x : 44
250×44=200x
5×44=4x
x=5×11=55
ANSWER A
Question: I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
A.4
B.7
C.14
D.15
Answer: D.15
Explanation: Explanation :
Since I live X floors above the ground floor and it takes me 30 s per floor to walk and 2 s per floor to ride, it takes 30X s to walk down and 2X s to ride down after waiting 420 s
=> 30X = 2X + 420
=> X = 15.
Answer : D
Question: What is the next number: 2, 17, 257, __
A.2977
B.3837
C.4097
D.4847
Answer: C.4097
Explanation: 4^0 + 1 = 2
4^2 + 1 = 17
4^4 + 1 = 257
4^6 + 1 = 4097
The answer is C.
Question: Square X is inscribed in circle Y. If the perimeter of X is 64, what is the circumference of Y?
A.16√ 2π
B.8√ 2π
C.22√ 2π
D.12√ 2π
Answer: A.16√ 2π
Explanation: square forms two right angled triangles.
Any time we have a right angle triangle inside a circle, the hypotenuse is the diameter.
hypotenuse here = diagonal of the square = 16 sqrt(2) = diameter
=> radius = 8 sqrt(2)
Circumference of the circle = 2pi r = 16 pi sqrt(2)
Answer is A.
Question: The sum of three integers A, B and C is 300. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
A.175
B.180
C.185
D.190
Answer: A.175
Explanation: A is one third of the sum of B and C..
or A=1/3(B+C)...
But A+B+C=300
so 1/3(B+C)+B+C=300
4(B+C)/3= 300
B+C =300*3/4 = 225
A=300-225=75
2)B is one fifth of the sum of A and C
or B=1/5(A+C)...
But A+B+C=300
so 1/5(A+C)+A+C=300
A+C=300*5/6=250
but A=75, so C=250-75=175
Answer : A
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $8 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
A.1 : 8 : 800
B.1 : 4 : 100
C.20 : 4 : 1
D.100 : 4 : 1
Answer: A.1 : 8 : 800
Explanation: B.........M........Y
20.....0,20......Y
B.........8........1
What I did first was to turn 0.20 to 2 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:
B.........M........Y
200.....2.........Y
B........80......10
Then I multiplied every row by 80 (the LCM of 2 and 80), which led me to this:
B.........M........Y
8000...80.......10
Then I got rid of the extra zero, and in the correct order this is Y:M:B=1:8:800
ANS A
Question: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of X to Y is 5:4?
A.6:1
B.5:4
C.20:7
D.10:9
Answer: C.20:7
Explanation: I got C but with a different, yet slightly longer approach, which I constantly use for proportion problems such as this one. Usually, this approach is very efficient when used with slightly difficult questions, but this problem is quite hard so I had to slightly tweak it. I will show you how I usually use the approach and later show you how to use it with this specific problem.
Example.
1 Liter of Solution A contains 45% alcohol, while 1 Liter of Solution B contains 20% alcohol. In what ratio must the two solutions be used to get a solution with 30% alcohol
Solution:
1.	45/100*[A/(A+B)]+20/100*[B/(A+B)] = 30/100
2.	Multiply 100 to both sides to arrive at 45A/(A+B) + 20B/(A+B) = 30
3.	Multiply (A+B) to both sides to arrive at 45A + 20B = 30A + 30B
4.	Distribute to arrive at 15A = 10B
5.	Thus the ratio is A/B = 10/15 = 2/3
Now using this same approach, we tackle Gopu106’s question. It is important to first think of X in the mixture as the alcohol in the problem above; hence, a mixture of X and Y in the ratio of 3:2 translates to X is 3/5 of the solution. Applying this concept to all three equations, we write:
1.	3/5*[A/(A+B)]+3/7*[B/(A+B)] = 5/9
2.	Now here is the tweak that must be made to continue with this approach. You must find the common denominator for all three numbers and organize the fractions accordingly. By finding the common denominator of 5,7,9 (or 315) we re-write the equations as follows
3.	189/315*[A/(A+B)]+135/315*[B/(A+B)] = 175/315
4.	Multiply 315 to both sides to arrive at 189A/(A+B) + 135B/(A+B) = 175
5.	Multiply (A+B) to both sides to arrive at 189A + 135B = 175A + 175B
6.	Distribute to arrive at 14A = 40B
7.	Thus the ratio is A/B = 40/14 = 20/7 or answer C
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $2.5. The factory holds a $62.50 worth stock of 22 modules. How many of the modules in the stock are of the cheaper kind?
A.31
B.35
C.21
D.40
Answer: C.21
Explanation: So the number of $2.50 modules must be 21 so that the leftover 1 modules are of $10 which will give a total value $62.50. 21*2.50+1*10 = 52.50+10=62.50
Answer : C
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
A.3:5
B.3:3
C.3:1
D.3:4
Answer: D.3:4
Explanation: :
Since S # 1/t
S1 : S2 = 1/t1 : 1/t2 =1/8 :1/6
=3:4
Answer:D
Question: A series S1 of five positive integers is such that the third term is half the first term and the fifth term is 20 more than the first term. In series S2, the nth term defined as the difference between the (n+1) term and the nth term of series S1, is an arithmetic progression with a common difference of 30.
First term of S1 is
A.80
B.90
C.100
D.120
Answer: C.100
Explanation: Explanation :
According to the question,
S1:- 2a, b, a, c, 2a + 20
And,
S2:- b - 2a, a - b, c - a, 2a + 20 - c
Also,
=> b - 2a + 30 = a - b i.e. 3a - 2b = 30 .
=> a - b + 30 = c - a
=> c - a + 30 = 2a + 20 - c i.e. 3a - 2c = 10
Solving them, we get a = 50, b = 60, c = 70
So series S1: 100, 60, 50, 70, 120 and series S2: -40, -10, 20.
Answer : C
Question: How many sides does the polygon have if the total angles measures up to 900 degrees?
A.3
B.7
C.4
D.6
Answer: B.7
Explanation: 7 sides...answer is B
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 670 m?
A.120 sec
B.91 sec
C.89 sec
D.80 sec
Answer: B.91 sec
Explanation: Explanation:
v = 240/24 (where v is the speed of the train) = 10 m/s
t = (240+670)/10 = 91 seconds
Answer: Option B
Question: 3+333+333+3.33=?
A.362.33
B.672.33
C.702.33
D.702
Answer: B.672.33
Explanation: 3
333
333
3.33
----------
672.33
----------
Answer is B
Question: If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
A.3%
B.4%
C.5%
D.6%
Answer: C.5%
Explanation: Explanation :
Loss = 490 – 465.5 = 24.5 loss in % = 24.5/ 490 x 100 = 5%.
Answer : C
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
A.12
B.13
C.46
D.37
Answer: D.37
Explanation: 16x + 85 = 17(x + 3)
x = 34 + 3 = 37
Answer: D
Question: if page of chemistry book is 30 more than page of physics book.if ratio of pages is
5:3.a child torn 15 pages of chemistry book.calculate new ratio.
A.1:1
B.2:1
C.5:4
D.4:3
Answer: D.4:3
Explanation: chemistry page=5x, physics page=3x
5x-3x=30,2x=30,x=15
chemistry page=75, physics page=45
after torn 15 page of chemistry=60
ratio become 60/45=4:3
answer D
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.12
B.77
C.48
D.99
Answer: C.48
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125 = 48 sec.
Answer: C
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 4 ?
A.âˆ’9/2
B.-4
C.3
D.4
Answer: C.3
Explanation: 2x - cy = 18
x=6, y=2;
12-2c=18
c=-3
2x-cy=18
when y=4, c=-3, x=
x=3
ANSWER:C
Question: 0.0203 x 2.92/0.0073 x 14.5 x 0.7 = ?
A.0.7
B.0
C.0.8
D.8
Answer: C.0.8
Explanation: = 0.0203 x 2.92/0.0073 x 14.5 x 0.7
= 203 x 292/73 x 145 x 7
= 4/5
= 0.8
Answer is C.
Question: If two sides of a triangle have lengths 3 and 8, which of the following could be the perimeter of the triangle? I. 9 II. 15 III. 19
A.None
B.I only
C.II only
D.III only
Answer: D.III only
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(8-3) < {third side} < (8+3).
5 < {third side} < 11.
Perimeter = {third side} + 8 + 3 = {third side} + 11.
16 < {perimeter} < 22.
answer D
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
A.20
B.24
C.25
D.26
Answer: A.20
Explanation: Ans.(A)
Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 4 x 5 = 20 ways
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 5 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
A.5
B.6
C.10
D.15
Answer: C.10
Explanation: If A^2 - B^2 = 0, then let's assume that A = B.
A must equal the 4th positive multiple of 4, thus A = 20, which also equals B.
B is the second positive multiple of n, thus n = 20/2 = 10.
The answer is C.
Question: A school give scholarship of a total of $940,000 to students, the scholarship consist of 3 types $95,000, $35,000, and $10,000. What is the smallest possible number of students who take the scholarship?
A.13
B.14
C.15
D.16
Answer: C.15
Explanation: The number of first-place students=f
The number of second-place students=s
The number of third-place students=t
Then, an equation 95,000f+35,000s+10,000t=940,000 is derived.
In order for f+s+t to be minimum, f should be maximum followed by s and t.
Then, f=9, s=1, t=5 are derived and f+s+t=9+1+5=15.
ANSWER:C
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 25%?
A.100 ml
B.60 ml
C.125 ml
D.130 ml
Answer: C.125 ml
Explanation: we can also go by answer choices
Tke 100 ml for eg
400 (old)+100 (new concentr)ml
500*25/100 = 125 ml (25ml is de old concentration +100 ml (newly added)
Answer C
Question: At garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 9th highest price and the 35th lowest price among the prices of the items sold, how many items were sold at the garage sale?
A.43
B.28
C.44
D.49
Answer: A.43
Explanation: 8+34+1= 43
Answer: A
Question: Find the one which does not belong to that group ?
A.3
B.4
C.5
D.9
Answer: B.4
Explanation: Explanation:
3, 5, 9 and 7 are odd numbers, but not 4.
ANSWER IS B
Question: If log 32 x= 0.8, then x is equal to
A.25.6
B.16
C.10
D.12.8
Answer: B.16
Explanation: Solution
log32 x	=0.8.
x=(32)0.8
‹=›(25)4/5
‹=›24
‹=› 16.
Answer B
Question: The average score in an examination of 10 students of a class is 50. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
A.96
B.97
C.89
D.98
Answer: C.89
Explanation: The average score in an examination of 10 students of a class is 50 --> the total score = 10*50 = 500;
The 5 smallest scores have an average of 45 --> the total score of the 5 smallest scores = 225
From above, the total score of the 5 largest scores = 500 - 225 = 275.
Say the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 45 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:
a + b + c + d + e = 45 + 46 +47 + 48 + e = 275;
e = 89.
Answer: C.
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
A.25300
B.22000
C.21000
D.23560
Answer: A.25300
Explanation: sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.
To get 1% : 18700/85=220; Then 220 is 1%.
To get 100% : 220*100=22000.
To get 115% : 220*115=25300.
ANSWER :A
Question: wo trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
A.14.4 sec
B.14.9 sec
C.12.4 sec
D.14.8 sec
Answer: A.14.4 sec
Explanation: Explanation:
Let the length of the train be L metres
Speed of first train = \inline \frac{3600}{18}\times L m/hour
Speed of secxond train = \inline \frac{3600}{12}\times L m/hour
When running in opposite directions, relative speed = 200 L + 300 L m/hour
Distance to be covered = L + L = 2L metre
Time taken = \inline \frac{2L}{500L}\times 3600 sec
=14.4 sec
Answer: A) 14.4 sec
Question: A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.5
B.6
C.9
D.8
Answer: C.9
Explanation: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [165 * 3/55] sec = 9 sec
Answer: C
Question: Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?
A.1/30
B.1/15
C.2/15
D.1/3
Answer: C.2/15
Explanation: since ben is out and edward is in, we are looking for remaining 3 players...
danny and frank are also in with fourth seat between alan /charles...
so total ways of selection of his desired team=2*4!..
total ways of selecting 4 out of 6=6*5*4*3=360
prob=2*24/360=2/15
ans C... 2/15
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
A.420
B.528
C.494
D.464
Answer: B.528
Explanation: Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)
= (1200)(30)(3) kg.
Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k
As the same provisions are available
=> (1200)(30)(3) = (1200 + x)(25)(2.5)
x = [(1200)(30)(3)] / (25)(2.5) - 1200 => x = 528
ANSWER:B
Question: Rs.2080 is divided so that 3 times the first share, thrice the 2nd share and four times the third share amount to the same. What is the value of the second share?
A.s802
B.s208
C.s960
D.s690
Answer: C.s960
Explanation: A+B+C = 2080
3A = 2B = 4C = x
A:B:C = 1/3:1/2:1/4 = 4:6:3
6/13 * 2080 =Rs960
Answer:C
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 20 kmph respectively. In what time will they cross each other completely?
A.15 sec
B.18 sec
C.12 sec
D.10 sec
Answer: B.18 sec
Explanation: Explanation:
D = 250 m + 250 m = 500 m
RS = 80 + 20 = 100 * 5/18 = 250/9
T = 500 * 9/250 = 18 sec
Answer: Option B
Question: What is 0.01 percent of 12,356?
A.0.12356
B.1.2356
C.12.356
D.0.012356
Answer: B.1.2356
Explanation: Soln:-
0.01 % of 12,356 = 0.011000.01100 x 12,356
= 1100∗1001100∗100 x 12,356
= 12,356100∗10012,356100∗100
= 1.2356
ANSWER:B
Question: The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]
A.35 years
B.40 years
C.45 years
D.47 years
Answer: C.45 years
Explanation: Explanation:
Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years. Answer: C
Question: In Orange County one tenth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
A.60.
B.42.
C.85.
D.70.
Answer: D.70.
Explanation: The number must be an integer and multiple of both 10 and 7.
Only option D fulfill this condition and hence is the answer.
Question: A recipe contains 100g of sugar and milk, a quarter of sugar in butter. If it contains more milk 45g butter it contains sugar?
A.55
B.44
C.50
D.30
Answer: B.44
Explanation: We propose equations,
sugar + milk = 100g
butter = sugar / 4
45g +butter=milk
sugar = 44g
Answer: B
Question: What is the radius of a circle that has a circumference of 3.14 meters?
A.1.0
B.2.5
C.1.3
D.0.5
Answer: D.0.5
Explanation: Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2* 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
Answer: 0.5 meter.
correct answer D
Question: A train is running at a speed of 40 km/hr and it crosses a post in 17.1 seconds. What is the length of the train?
A.190 metres
B.160 metres
C.200 metres
D.120 metres
Answer: A.190 metres
Explanation: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 17.1 s
Distance Covered, d = vt = (400/36)Ã— 17.1 = 190 m
Distance covered is equal to the length of the train = 190 m
Correct answer is 190 metres
A
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
A.36
B.84
C.132
D.144
Answer: B.84
Explanation: 1st part: - In 1hr, Bus A covers 30 miles.
Relative speed of bus ABus B is (80-30) = 50mph.
So time required for Bus B to cover the exact distance as A is
50*t = 30
t=3/5 = 36min
2nd part
80*t=2d - B has to cover twice the distance
30*(t+1) = d - A traveled 1hr more and has to travel only only d
so
d/30 - 2d/80 = 1
D=120
T= 3hrs = 180 min
Question asks for +ve difference between part 1 and part 2 in minutes
= 180-36 = 84min
B
Question: There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?
A.2/9
B.2/5
C.7/9
D.4/5
Answer: C.7/9
Explanation: Number of students = 10
Number of ways 10 students can sit around a circular table = (10 - 1)! = 9!
Number of ways A and D sit together (consider A and D as one entity) = (9 - 1)! = 8! * 2
Number of ways A and D do not sit together = 9! - (8! * 2)
Probability = (9! - (8! * 2))/9! = 1 - 2/9 = 7/9
Answer: C
Question: A car covers a distance of 660 km in 6 hours. Find its speed?
A.104
B.7778
C.266
D.110
Answer: D.110
Explanation: 660/6 = 110 kmph
Answer:D
Question: If José reads at a constant rate of 5 pages every 5 minutes, how many seconds will it take him to read N pages?
A.60
B.2N
C.5/2*N
D.24N
Answer: A.60
Explanation: Jose would read 1 page in 5/5 min
Jose would read N page in (5/5)*N min i.e. (5/5)*N*60 Seconds = 60N Seconds.
Option A is the correct Answer.
Question: Find the cube root of 804357?
A.22
B.88
C.93
D.19
Answer: C.93
Explanation: Unit digit of the answer is 3. (cube of 3 = 27). Now omit 357 and find after which cube 804 lies. It is 729. so our tenth place is 9.
Answer = C
Question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
A.6
B.7 2⁄3
C.6 2⁄3
D.6 1⁄3
Answer: C.6 2⁄3
Explanation: 10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work
\ Time taken = 60⁄9 days = 62⁄3 days
Answer C