RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
A.9 years
B.14 years
C.25 years
D.12 years
Answer: B.14 years
Explanation: Answer: Option B
Let the son's present age be x years.
Then, (38 - x) = x
2x = 38 => x = 19
Son's age 5 years back = (19 - 5) = 14 years.
Question: The first train leaves the station at 7:00 am with a speed of 60 km/hr. The second train leaves at 8:30 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.11:00 am
B.12:00 noon
C.1:00 pm
D.2:00 pm
Answer: C.1:00 pm
Explanation: In ninety minutes, the first train travels 90 km.
The second train catches the first train with a relative speed of 20 km/h.
The second train will catch the first train in 4.5 hours.
The second train will catch the first train at 1:00 pm.
The answer is C.
Question: John found that the average of 15 numbers is 40. If 13 is added to each number then the mean of number is?
A.53
B.45
C.65
D.78
Answer: A.53
Explanation: (x+x1+...x14)/15 = 40
53
Option A
Question: When 6 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
A.32
B.180
C.60
D.27
Answer: B.180
Explanation: Explanation:
Let the number be
26+ 1/2[1/3(a/5)] = a/15
=> 6 = a/30 => a = 180
Answer:B
Question: How many times will the digit 5 be written when listing the integers from 1 to 1000?
A.300
B.380
C.180
D.415
Answer: A.300
Explanation: Many approaches are possible. For example:
Consider numbers from 0 to 999 written as follows:
1. 000
2. 001
3. 002
4. 003
...
...
...
1000. 999
We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000=3000 digits. Now, why should ANY digit have preferences over another? We used each of 10 digits equal # of times, thus we used each digit (including 5) 3000/10=300 times.
Answer: A.
Question: Mary's income is 70 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
A. 124%
B. 102%
C. 96%
D. 80%
Answer: B. 102%
Explanation: Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 102 (70 percent more than Tim's income).
Thus, Mary's income (102) is 102% of Juan's income (100).
Answer: B.
Question: In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?
A.120
B.140
C.145
D.150
Answer: A.120
Explanation: 'SCHOOL' contains 6 different letters.
vowels OO are always together
we have to arrange the letters (OO)SCHL
Now 5 letters can be arranged in 5! = 120 ways
The vowels (OO) can be arranged 2! = 2 ways.
= (120 x 2) = 240
again you have to divided 2 common vowels so answer is 120.
A)
Question: Two vessels A and B contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel A is mixed with 4 litres from vessel B , the ratio of alcohol and water in the resulting mixture is?
A.19:5
B.17:2
C.27:2
D.21:5
Answer: A.19:5
Explanation: A
19:5
Quantity of alcohol in vessel A = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel B = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19:5.
Question: In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu
How many speak both English and Telugu?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: Total=150
English=55
Telugu=85
none/ neither English nor Telugu=30
No. of Students who speak only one or both=150-30=120
so, 120 stud's can speak english or telugu or both.
then,
No. of Stud's speak only English= 120-85(telugu)=35
" " " " " Telugu= 120-55=65
Remaining 120-(65+35)=20 stud's can speak both.
B)
Question: A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
A.4 1/2
B.4
C.3 3/4
D.3
Answer: C.3 3/4
Explanation: Let x be the amount of gasoline in 2 lt container.
(x/2)*100 = ((5 - x)/6)*100
x = (5 - x)/3
3x = 5 - x
x = 1.25
Amount of gasoline in 6 lt container = 5 - 1.25 = 3.75
Answer: C
Question: There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 5, how many passengers were on the bus originally?
A.128
B.64
C.32
D.16
Answer: C.32
Explanation: Before stop 5, there were 2 passengers on the bus.
Before stop 4, there were 4 passengers on the bus.
etc...
Before stop x, there were 2^(6-x) passengers on the bus.
Before stop 1, there were 2^5 = 32 passengers on the bus.
The answer is C.
Question: On Monday, a certain animal shelter housed 70 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?
A.13
B.15
C.17
D.19
Answer: C.17
Explanation: To maximize the number of pets adopted, we should maximize the number of dogs adopted since 1/4 > 1/5.
The greatest multiple of 4 less than 70 is 60 (such that the remaining number is divisible by 5), so let's assume there were 60 dogs and 10 cats.
Then the maximum number of adopted pets is 1/4*(60) + 1/5*(10) = 15 + 2 = 17.
The answer is C.
Question: A circle graph shows how the budget of a certain company was spent: 60 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent transportation?
A.18°
B.36°
C.54°
D.72°
Answer: D.72°
Explanation: The percent of the budget for transportation is 100 - (60+9+5+4+2)= 20%
100% of the circle is 360 degrees.
Then (20%/100%)*360 = 72 degrees
The answer is D.
Question: A sum of Rs. 4000 amounts to Rs. 4600 in 5 years at a certain rate of simple interest. What would be the amount, if the rate of interest is increased by 3 %.
A.Rs. 4900
B.Rs. 5000
C.Rs. 5200
D.Rs. 5600
Answer: C.Rs. 5200
Explanation: Explanation:
Principal = Rs. 4000, Amount = Principal + SI = Rs. 4600
SI = Amount – Principal = 4600 – 4000 = Rs. 600
Given : Principal = Rs. 4000, Time = T = 5 years and SI = Rs. 600
SI =PRT/100
600 = 4000 *R * 5/100
600 = 200R
R = 3 % p.a.
Now the new interest rate is = 3% + 3% = 6 % p.a.
SI = PRT/ 100 = 4000 * 6 * 5/ 100 = Rs. 1200
Amount = Principal + SI
= 4000 + 1200
= 5200
ANSWER C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140 sq.units
B.158 sq.units
C.187 sq.units
D.607 sq.units
Answer: A.140 sq.units
Explanation: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 176 votes. Find the total number of valid votes?
A.440
B.570
C.480
D.520
Answer: A.440
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 176 => 4x/10 = 176
=> 4x = 1760 => x = 440.
ANSWER:A
Question: If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
A.50 cm
B.70 cm
C.60 cm
D.30 cm
Answer: A.50 cm
Explanation: Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy<=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.
ANSWER A 50 cm
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
A.720
B.360
C.120
D.24
Answer: B.360
Explanation: All 6 horses can finish the race in 6! way (assuming no tie).
If no tie is possible between No Hope and Goldenrod, then in half of these cases No Hope will be before Goldenrod and in half of these cases after (not necessarily right before or right after). How else? So, there are 6!/2=360 different arrangements of finishes where No Hope always finishes before Goldenrod.
Answer: B.
Question: If n is a positive integer and n^2 is divisible by 50, then what is the largest positive integer that must divide n?
A.5
B.8
C.10
D.20
Answer: C.10
Explanation: 50 = 2 * 5^2
If 50 divides n^2, then n must be divisible by 2 * 5 = 10
The answer is C.
Question: Raju age after 35 years will be 5 times his age 5 years back, What is the present age of Raju
A.28
B.17
C.15
D.77
Answer: C.15
Explanation: Clearly,
x+35 = 5(x-5)
<=> 4x = 60 => x = 15
Answer:C
Question: What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
A.1260
B.630
C.2524
D.1680
Answer: B.630
Explanation: L.C.M. of 12, 18, 21 30 2 | 12 - 18 - 21 - 30
----------------------------
= 2 x 3 x 2 x 3 x 7 x 5 = 1260. 3 | 6 - 9 - 21 - 15
----------------------------
Required number = (1260 ÷ 2) | 2 - 3 - 7 - 5
= 630. ANSWER : B
Question: In the xy-coordinate system, line k passes through points (-4m, 0) and (0, 2m). Which of the following is a possible equation of line k?
A.y = -2x + 2m
B.y = 1/2*x - 4m
C.y = 2x + 2m
D.y = 1/2*x + 2m
Answer: D.y = 1/2*x + 2m
Explanation: The slope of the line is 2m/4m=1/2.
The y-intercept is 2m.
the equation of the line is: y = 1/2*x +2m
The answer is D.
Question: A boy was asked to multiply a number by 25. He instead multiplied the next number by 52 and got the answers 324 more than the correct answer. The number to be multiplied was
A.10
B.12
C.15
D.25
Answer: B.12
Explanation: Let the number be x.
Then, 52 x - 25 x	= 324
‹=› 27 x = 324
x= 12.
Answer :B
Question: The number x yields a remainder p when divided by 13 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of x ?
A.45
B.36
C.72
D.85
Answer: B.36
Explanation: I solved this question in the following way:
Q<7 so Q can be from 0 to 4 and P<13 so P can be from 0 to 12, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 12.
x=13k + P or x= 13k + 7 to 12 and look at the answer as, place different values for k, B will give 36 which is 13*2 + 10, the other answers are out of the range
Question: The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 33-minute call made at 10:30 P.M. between these two cities is:
A. 0.4(0.60) + 35c
B. 0.4(0.60 + 9c)
C. 0.4(0.60 + 0.30c)
D. 0.6(0.60 + 30c)
Answer: C. 0.4(0.60 + 0.30c)
Explanation: For first three minutes = 60 cents
Remaining minutes = 33 -3 = 30
charge for 32 minutes = 30c
total cost (if the call was made in daytime) = 0.60 + 30c
60% chargereducedon night calls => 40% charge
=>0.4(0.60 + 30c)
Hence, Answer is C
Question: suga invested an amount of Rs. 10,500 at the rate of 13% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
A.13650
B.13150
C.13450
D.13900
Answer: B.13150
Explanation: Let the second amount be Rs. x. Then,
(10500 * 13 * 1)/100 + (x * 15 * 1)/100 = [(12000 + x) * 14 * 1] / 100
13650+ 15x= 16800 + 14x
x = 3150
Total investment = 10000 + 3150 = Rs. 13150 .Answer: B
Question: A train 480 m long passed a pole in 12 sec. How long will it take to pass a platform 560 m long?
A.76 sec
B.29 sec
C.26 sec
D.15 sec
Answer: C.26 sec
Explanation: Speed = 480/12 = 40 m/sec.
Required time = (480 + 560)/40
= 26 sec.
Answer:C
Question: In how many different ways can 3 boys and 2 girls sit on a bench such that the girls always sit together?
A.44
B.48
C.52
D.56
Answer: B.48
Explanation: We can think of the girls as one unit.
The number of ways to arrange 4 units in order is 4!
The girls can have different arrangements, so we multiply this by 2!
The number of ways to sit is 4!*2!=48
The answer is B.
Question: A merchant sells his two cars – one at 15% loss and another at 12% profit. If the cost prices of the two cars are in the ratio of 1:2, what is his percent profit or loss?
A.3% profit
B.2% loss
C.2% profit
D.3% loss
Answer: A.3% profit
Explanation: Explanation:
Given that CPs are in the ratio 1:2
Therefore let the CPs be Rs.100 & Rs.200 respectively,
1st SP = 100-15% of 100 = Rs.86.
2nd SP = 200 + 12% of 200 = Rs.224.
Total CP = Rs.300. Total SP = 85+224 = Rs.309.
Profit = Rs.309-300 = Rs.9.
Profit percent = 9x100/300 = 3% profit.
Answer: Option A
Question: Find the odd man out. 5, 10, 40, 81, 320, 640, 2560
A.40
B.81
C.320
D.2560
Answer: B.81
Explanation: Explanation :
Alternatively 2 and 4 are multiplied with the previous terms
5
5 × 2 = 10
10 × 4 = 40
40 × 2 = 80
80 × 4 = 320
320 × 2 = 640
640 × 4 = 2560
Hence, 81 is wrong. 80 should have come in place of 81.
Answer : Option 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.767 m
B.674 m
C.245 m
D.187 m
Answer: C.245 m
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: C
Question: The S.I. on a certain sum of money for 3 years at 5% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
A.2197
B.2800
C.1750
D.2267
Answer: B.2800
Explanation: Explanation:
C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(3 * 5) = Rs. 2800
Answer:B
Question: A batsman makes a score of 300 runs in the 17th inning and thus increases his averages by 10. What is his average after 17th inning?
A.39
B.140
C.42
D.40.5
Answer: B.140
Explanation: let the average after 16th inning =x
then total run after 16th inning=16x
then total run after 17th inning=16x+300
then average run after 17th inning=(16x+300)/17
(16x+300)/17=x+10 => 16x+300 = 17x+170
x=130
average after 17th inning =130+10=140
ANSWER:B
Question: If x ≠ 0 and x^2 - (2- x^2)/x^2 = y/x, then y =
A.-2/x
B.x^2 − 2
C.2x^2 − 2
D.x − 2 − x^2
Answer: A.-2/x
Explanation: x^2 - (2- x^2)/x^2 = y/x
-2/x^2 = y/x
y = -2/x
Answer : A
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 3 and BC = 10?
I. 7
II. 9 √3
III. 11.5
A.I only
B.II only
C.III only
D.II and III
Answer: C.III only
Explanation: (10-3) < AB < (10+3)
The answer is C.
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
A.2700
B.2900
C.3000
D.3100
Answer: A.2700
Explanation: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
=45/100 x 6000 = 2700
ANSWER :A
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 20 years?
A.30
B.35
C.40
D.50
Answer: C.40
Explanation: Explanation :
(A + B), five years ago = (15 * 2) = 30 years.
(A+B), now = (30+5*2)years=40 years.
(A + B + C), now = (20 x 3) years =60 years.
C, now = (60 - 40) years = 20 years.
C, after 20 years = (20 + 20) years =40 years.
Answer : C
Question: A cistern is filled by pipe A in 16 hours and the full cistern can be leaked out by an exhaust pipe B in 20 hours. If both the pipes are opened, in what time the cistern is full?
A.50hrs
B.60hrs
C.70hrs
D.80hrs
Answer: D.80hrs
Explanation: time taken to full the cistern=(1/16-1/20)hrs
=1/80
=80hrs
ANSWER:D
Question: 21 goats eat as much as 15 cows. How many goats each as much as 35 cows?
A.49
B.32
C.36
D.41
Answer: A.49
Explanation: Explanation :
15 cows ≡ 21 goats
1 cow ≡21/15 goats
35 cows ≡ (21×35)/15 goats ≡ (21×7/3) goats ≡ 7 × 7 goats ≡ 49 goats. Answer : Option A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
A.150
B.185
C.190
D.210
Answer: B.185
Explanation: 185
Answer is B
Question: A right triangle has its other two angle measurements given in ratios 2:3 relative to each other. What is the measurement of one of the other two angles?
A.36Â°
B.45Â°
C.60Â°
D.74Â°
Answer: A.36Â°
Explanation: A right triangle has a 90Â° angle, so the other two angles should add up to 90Â°. With the 2:3 ratio, we use the equation
2x + 3x = 90Â°
5x = 90Â°
x = 18Â°
2x = 36Â°, which is A
3x = 54Â°, which is not in the choices, so the answer is A
Question: A table is bought for Rs.400/- and sold at Rs.300/- find gain or loss percentage
A.25%loss
B.30%gain
C.25%gain
D.10%loss
Answer: A.25%loss
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (300 - 400)/400 = 25% loss
A
Question: What is 2 2/3 - 1 1/4 divided by 1/5 - 1/6 ?
A.17/36
B.36/17
C.17/6
D.85/2
Answer: D.85/2
Explanation: 2 2/3 - 1 1/4 = 8/3 - 5/4 = (32 - 15 )/12 = 17/12
1/5 - 1/6 = (6-5)/30 = 1/30
So 17/12/1/30 = 17/12 * 30 = 85/2
Answer - D
Question: IF
1= E
2=O
3= E
4= R
5= I
THEN 6=?
A.I
B.J
C.K
D.X
Answer: D.X
Explanation: IF
1= E... last letter of ONE.
2=O.... last letter of TWO.
3= E
4= R
5= E
THEN 6=X ... last letter of SIX.
ANSWER:D
Question: A committee is reviewing a total of 20x black-and-white films and 4y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
A.26/21
B.28/21
C.20/21
D.40/21
Answer: C.20/21
Explanation: Say x=y=10. In this case we would have:
20x=200 black-and-white films;
4y=40 color films.
y/x%=10/10%=1% of the black-and-white films, so 2 black-and-white films and all 40 color films, thus total of 42 films were selected.
Color films thus compose 40/42=20/21 of the selected films.
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 57, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:
A.5
B.22
C.9
D.10
Answer: B.22
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 57
5x = 55
x = 11.
Hence, B's age = 2x = 22 years.
Answer: Option B
Question: Calculate the percentage gain if a trader bought a bicycle for Rs.740 and sold it for Rs.1250?
A.61.92%
B.68.92%
C.66.92%
D.63.92%
Answer: B.68.92%
Explanation: C.P. = 740
S.P. = 1250
Gain = 1250-740 ---- 510
% Gain => 510/740*100 => 68.92%
Answer:B
Question: The average of 7 consecutive numbers is 33. The highest of these numbers is:
A.28
B.30
C.33
D.36
Answer: D.36
Explanation: The average of 7 consecutive numbers will be the 4th number which is given to be = 33 5th number = 34, 6th number = 35, 7th number = 36
Answer: D.
Question: Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 + S2 – S1+S0. What is the value of K?
A.67
B.130
C.45
D.41
Answer: B.130
Explanation: I used brute force for this question:
S6: 36+30+94=160
S5: 25+25+94=144
S4: 16+20+94=130
S3: 9+15+94=118
S2: 4+10+94=108
S1: 1+5+94=100
S0: 0+0+94=94
S6-S5+S4-S3+S2-S1+S0= 16+12+8+94=130
Answer B
Question: Ayesha's father was 48 years of age when she was born while her mother was 40 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.6 years
D.7 years
Answer: B.4 years
Explanation: Explanation:
Mother's age when Ayesha's brother was born = 40 years.
Father's age when Ayesha's brother was born = (48 + 4) = 52 years.
Required difference = (52 - 48) = 4 years.
Answer: Option B
Question: An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability N that the sum of the 2 numbers on the balls will be even?
A.25%
B.37.5%
C.50%
D.62.5%
Answer: C.50%
Explanation: Correct Answer: C
Since there are 5 even numbered balls and 5 odd numbered balls, the probability N of selecting either an even or an odd is 5/10= 1/2. In order for the sum of the numbers on the two balls to be even, either both numbers must be even or both numbers must be odd; one even and one odd number would add to an odd number. The probability of selecting two even numbers is:
1/2 * 1/2= 1/4
The probability of selecting two odd numbers is also:
1/2 * 1/2= 1/4
Adding both probabilities gives 1/4+1/4= 1/2 , or 50%, as the probability that the sum of the numbers will be even. Thus, the correct answer is (C).
Question: Two pipes can fill a tank in 20 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
A.5 minutes
B.17 minutes
C.15 minutes
D.10 minutes
Answer: A.5 minutes
Explanation: Part of the filled by all the three pipes in one minute
= 1/20 + 1/15 - 1/45 = (9 + 12 - 4)/180 = 17/180
So, the tank becomes full in 5 minutes.
Answer: A
Question: If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 9% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
A.2
B.5
C.900/109
D.110/209
Answer: C.900/109
Explanation: Let price be 10/ticket
then 220 tickets for this month's performance at its usual price=2200
which is 10%greater than last month(let X)---->x(1+10/100)=2200----->x=2000
now new revenue this month=200*10.9=2180
as per question asked 2000=2180(1-A/100)----->A=900/109%
Ans C
Question: A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 2 or 19?
A.17/30
B.2/5
C.7/15
D.8/15
Answer: D.8/15
Explanation: Number of Multiples of 2 from 1 through 30 = 30/2 = 15
Number of Multiples of 19 from 1 through 30 = 30/19 = 1
Number of Multiples of 2 and 19 both from 1 through 30 = Number of Multiples of 19*2(=38) = 0
Total favourable cases = 15 + 1- 0 = 16
Probability = 16 / 30 = 8/15
Answer: option D
Question: A train is 360 meter long is running at a speed of 36 km/hour. In what time will it pass a bridge of 140 meter length?
A.50 seconds
B.29 seconds
C.40 seconds
D.11 seconds
Answer: A.50 seconds
Explanation: Speed = 36 Km/hr = 36*(5/18) m/sec = 10 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (1/10) = 50 seconds
Answer:A
Question: 15 people went to a hotel for combine dinner party 10 of them spent Rs. 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15. What was the total money spent by them.
A.1628.4
B.1534
C.780
D.1496
Answer: C.780
Explanation: Solution: Let average expenditure of 15 people be x.
then,
15x = 10*50+5*(x+4);
Or, 15x = 10*50+5x+20;
Or, x = 52;
So, total money spent = 52*15 = Rs. 780.
Answer: Option C