RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.84 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
A.Rs 450
B.Rs 920
C.Rs 550
D.Rs.630
Answer: D.Rs.630
Explanation: Explanation :
Let the original average expenditure be Rs.x then,
42(x - 1) - 35x = 84 ? 7x = 126 ? x = 18
Therefore original expenditure = Rs.(35 18)=Rs.630.
Answer : D
Question: The sum of the first 50 positive even integers is 2550. What is the sum T of even integers from 102 to 200 inclusive?
A.5100
B.7550
C.10100
D.15500
Answer: B.7550
Explanation: My solution is:
First 50 even integers:
2
4
6
8
<...>
Integers from 102 to 200
102
104
106
108
<...>
We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:
T=2550+(100*50)=7550.B
Question: What is the sum of the odd integers from 35 to 65, inclusive?
A.800
B.550
C.555
D.600
Answer: A.800
Explanation: The mean is 50.
Sum=Mean(# of elements)
There are 16 odd numbers between 35-65 inclusive. 16*50=800
A
Question: 10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3213, how much was it in the beginning?
A.A)3800
B.B)4200
C.C)4400
D.D)4500
Answer: B.B)4200
Explanation: X * (90/100) * (85/100) = 3213
X = 4200
ANSWER:B
Question: A flamboyant comic book villain has abducted a bystander! Captain Valiant is alerted to the crime and reaches the start of the villain's trail 30 minutes later. The villain is in a getaway car going 40 kmph, and Captain Valiant can fly at 50 kmph. How long will the bystander have to wait for rescue?
A.1 hour
B.1 1/2 hours
C.2 hours
D.2 1/2 hours
Answer: D.2 1/2 hours
Explanation: Distance covered by the villain in 1/2 hour = 20 km
Now, 10 km is compensated in 1 hour
Therefore 20 km will be compensated in 2 hours
Added to the half hour head start, the bystander has been kidnapped for 2 1/2 hours.
Correct Answer: D
Question: Find the middle one when The sum of three consecutive even numbers is 36?
A.11
B.12
C.14
D.16
Answer: B.12
Explanation: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Question: What is the are of an equilateral triangle of side 18 cm?
A.66âˆš3 cm2
B.74âˆš3 cm2
C.81âˆš3 cm2
D.64âˆš5 cm2
Answer: C.81âˆš3 cm2
Explanation: Area of an equilateral triangle = âˆš3/4 S2
If S = 18, Area of triangle = âˆš3/4 * 18 * 18 = 81âˆš3 cm2;
Answer:C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A.3630
B.2899
C.277
D.2870
Answer: A.3630
Explanation: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
Answer:A
Question: Find the value of X, Y by solving the below equations
X + Y = 15
X - Y = 5
A.10, 5
B.8, 7
C.9, 6
D.11, 4
Answer: A.10, 5
Explanation: X + Y = 15 ---(I)
X - Y = 5 -----(II) by adding (I) and (II)
------------
2X = 20 ==> X = 20/2 = 10
By Replacing the value of X in (I) we get 10 + Y = 15 ==>
Y = 15 -10 = 5.
So, X = 10, Y = 5
Answer A) 10, 5
Question: Find the maximum value of the function f(x)=x−5 if x is a number between -5 and 13.
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: Solution:
Since f(x) is a linear function whose slope is 1, a positive number, it is strictly increasing for all x. Therefore its maximal value is reached for the largest value of x, x=13 and f(x)=13-5=8.
Answer C
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
A.6
B.5
C.4
D.9
Answer: C.4
Explanation: 9 a.m.
Answer: C
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 60 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour?
A.228.5
B.228
C.229.5
D.220
Answer: B.228
Explanation: Lets assume the initial production was 100 litres of beer for 100 hr.
With the 60% increase the total amount of beer production will be 160 litres and with 30 % decrease in total hours will be reduced to 70 hr.
100hr ----> 100 lts
1hr -----> 1 lts
70hr -----> 160 lts
1hr -----> 2.28 lts
Total Increase in production for 1 hr = 228%
Answer B
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 25% impurities to the product. Find the net profit percentage of the dealer?
A.44%
B.40%
C.50%
D.56.25%
Answer: D.56.25%
Explanation: The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight.
It means that he is selling $4 worth of product for $5.
The dealer then further added 25% impurities to the product.
It means that he is selling $5 worth of product for $6.25.
So his profit is $6.25-$4 = $2.25
and his profit percent is
(2.25/4)*100 = 56.25%
Answer:- D
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/7%
B.16 2/6%
C.16 2/3%
D.16 7/3%
Answer: C.16 2/3%
Explanation: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer: C
Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
A.7
B.14
C.25
D.27
Answer: D.27
Explanation: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 27
D
Question: Each of the 43 points is placed either inside or on the surface of a perfect sphere. If 16% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
A.3
B.11
C.13
D.23
Answer: A.3
Explanation: Maximum number of points on the surface is 16%*43 = 6.88 ... or 6 since it has to be an integer
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 6 points, so at best we can form 3 pairs (6).
So, answer is (A)
Question: On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 160 is how many times an intensity corresponding to a magnitude of 125?
A.40
B.100
C.400
D.1000
Answer: D.1000
Explanation: Increase of 40 in magnitude corresponds to 10^4 increase in intensity:
If intensity for 125 is x then for 135 it'll be 10*x, for 145 it'll be 10*10*x=10^2*x, for 155 it'll be 10*10*10*x=10^3*x and for 160 it'll be 10*10*10*10*x=10^3*x.
Answer: D.
Question: Working together, printer M and printer N would finish the task in 24 minutes. Printer M alone would finish the task in 60 minutes. How many pages does the task contain if printer N prints 5 pages a minute more than printer M?
A.400
B.450
C.600
D.1200
Answer: C.600
Explanation: 24*M + 24*N = x pages
in 24 mins printer M will print = 24/60 * x pages = 2/5*x pages
thus in 24 mins printer printer N will print x - 2/5*x = 3/5*x pages
Also it is given that printer N prints 5 more pages per min that printer M. In 24 mins printer N will print 120 more pages than printer M
thus 3/5*x - 2/5*x = 120 => x = 600 pages
C)
Question: If 'a' and 'b' are non-zero numbers such that their sum is ten times the product, what is the value of 1/a + 1/b?
A.2
B.5
C.10
D.15
Answer: C.10
Explanation: a+b = 10ab
1/a + 1/b = (b + a)/(ab) = 10.
The answer is C.
Question: Two friends plan to walk along a 22-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
A.10
B.11
C.12
D.13
Answer: C.12
Explanation: If Q complete x kilometers, then P completes 1.2x kilometers.
x + 1.2x = 22
2.2x=22
x = 10
Then P will have have walked 1.2*10=12 km.
The answer is C.
Question: 1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is ?
A.63.3%
B.52.4%
C.81.2%
D.75.4%
Answer: A.63.3%
Explanation: Total number of students = 1100+700 = 1800
Number of students passed = (42% of 1100+30% of 700) = 462+210 = 672
number of failures = 1128*100/1800 = 190/3%= 63.3%
Answer is A
Question: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
A.36
B.27
C.72
D.29
Answer: B.27
Explanation: Sum of the 10 numbers = 230
If each number is increased by 4, the total increase =
4 * 10 = 40
The new sum = 230 + 40 = 270 The new average = 270/10
= 27.
Answer:B
Question: Find the odd man out. 18, 16, 12, 24, 11, 34, 46
A.16
B.46
C.16
D.11
Answer: D.11
Explanation: Explanation :
11 is the only odd number in the given series. Answer : Option D
Question: Out of a world population of approximately 6.6 billion, 1.2 billion people live in the richer countries of Europe, North America, Japan and Oceania and is growing at the rate of 0.25% per year, while the other 5.4 billion people live in the lees developed countries and is growing at the rate of 1.5%. What will be the world population in 5 years if we assume that these rates of increase will stay constant for the next 5 years. (round answer to 3 significant digits)
A.7.02 billion.
B.7.03 billion.
C.7.04 billion.
D.7.05 billion.
Answer: B.7.03 billion.
Explanation: Solution to Problem 12:
Let us first calculate the population PR in 5 years in the richer countries
PR = (1.2 + 0.25% * 1.2) = 1.2(1 + 0.25%) after one year
PR = 1.2(1 + 0.25%) + 0.25% * 1.2(1 + 0.25%)
= 1.2(1 + 0.25%) 2after two years
Continue with the above and after 5 years, PR will be
PR = 1.2(1 + 0.25%) 5 after 5 years
Similar calculations can be used to find the population PL in less developed countries after 5 years.
PL = 5.4(1 + 1.5%) 5 after 5 years
The world population P after 5 years will be
P = PR + PL = 1.2(1 + 0.25%) 5 + 5.4(1 + 1.5%) 5 = 7.03 billion.
Answer B
Question: A right triangle AWC has to be constructed in the xy-plane so that the right angle is at A and AW is parallel to x axis. The coordinates of A, W and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
A.63
B.336
C.567
D.3024
Answer: D.3024
Explanation: All the cordinates are integer hence,
possible AW values are
{-1,0}, {-1,1} ....{-1,7}: 8 ways
....
{7,-1}, {7,0} ......{7,6}: 8 ways
9*8 ways = 72
for AC values can be
{1,2}, {1,3} .... {1,7} : 6ways
......
{7,1}, {7,2} ..... {7,6} : 6 ways
7*6 = 42
Total = 72 * 42 = 3024 hence D
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago.What is the difference between the ages of the replaced and the new member?
A.2 years
B.4 years
C.8 years
D.15 years
Answer: D.15 years
Explanation: the age 5 members will be 13,14,15,16 and 17
3 years before there age was 10,11,12,13 and 14 hence the average is 12(10+11+12+13+14/5=60/5=12).
now if the oldest man 17 is replaced by 2 the the average is become same as three years ago the are .
as (13+14+15+16+2)/5 = 60/5=12.
hence the difference between the ages of the replaced and the new member is 17-2=15.
ANSWER:D
Question: 70 students are required to paint a picture. 52 use green color and some children use red, 38 students use both the colors. How many students use red color?
A.53
B.54
C.55
D.56
Answer: D.56
Explanation: 70 = red +green -both
Red = 70-green+both = 70-52+38=56
ANSWER:D
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
A.500
B.560
C.670
D.800
Answer: D.800
Explanation: science books sold = 2x × 0.2 = 0.4x
science books unsold = 2x – 0.4x = 1.6x
art books sold = 5x × 0.2 = x
art books unsold = 5x – x = 4x
total books unsold = 1.6x + 4x = 5.6x
5.6x = 2240
x = 400
2x science = 800
D
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
A.22030
B.220030
C.23030
D.24030
Answer: B.220030
Explanation: Explanation:
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
Option B
Question: The Racing magic takes 40 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
A.3
B.6
C.9
D.12
Answer: D.12
Explanation: Time taken by Racing magic to make one circle = 40 seconds
Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds
LCM of 90 and 40 seconds = 360 seconds = 6 mins
Time taken for them to meet at the starting point for the second time = 6 mins *2 = 12 mins
Answer D
Question: Balls are bought at 11 for Rs.10/- and sold at 10 for Rs.11/-. Find the gain or loss percentage?
A.21 % Profit
B.22 % Profit
C.24 % Profit
D.31 % Profit
Answer: A.21 % Profit
Explanation: 11 balls -----> Rs.10/-
10 balls -----> Rs.11/-
Note: Number of articles bought is must equal to number of articles sold.
10(11 10) ==> 110 100 = Cost price
11(10 11) ==> 110 121 = Selling price
Then, 21/100 × 100 = 21 % Profit
A)
Question: if there is one larger cube with surface area 600 and no. of smaller cubes with surface area 24.then how many small cubes are required to make a larger cube with surface area of 600?
A.5
B.125
C.4
D.100
Answer: B.125
Explanation: the ratio between larger and smaller is
6a12:6a22=600:24
a12:a22=100:4
a1:a2=10:2
then length of cube is 10 and 2
so make a cube with length 10, we have to 5 small cubes each in length, breadth and height. so total 125 cubes are required.
then the answer is B
Question: In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is?
A.11
B.20
C.28
D.17
Answer: B.20
Explanation: Explanation:
It is the same as a person with 20 years more age replaces an existing person of the group ( or village)
Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.
Alternatively : ( n x 42 ) + 20 = ( n x 43 )
=> n=20
Answer: B
Question: Harry started a 7-mile hike with a full 11-cup canteen of water and finished the hike in 3 hours with 2 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 6 miles of the hike?
A.2/6
B.3/6
C.4/6
D.6/4
Answer: B.3/6
Explanation: No of cups leaked during the trip = 3 cups.
No of cups Harry drank = 6 cups.
No of cups harry drank during the first 6 miles = 3.
drink / mile = 3/6
Answer: B
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 55000. What is the share of C?
A.Rs. 12250
B.Rs. 13375
C.Rs. 16750
D.Rs. 15000
Answer: D.Rs. 15000
Explanation: Explanation:
Let the investment of C be Rs. x.
The inverstment of B = Rs.(2x/3)
The inverstment of A = Rs. (3 × (2/3)x) = Rs. (2x)
Ratio of capitals of A, B and C = 2x : 2x/3 : x = 6 : 2 : 3
C's share = Rs. [(3/11) × 55000] = Rs. 15000
Answer: Option D
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 25% premium.If the company declares 5% dividend at the end of the year,then how much does he get ?
A.Rs. 576
B.Rs. 600
C.Rs. 650
D.Rs. 720
Answer: A.Rs. 576
Explanation: Solution
Number of shares = (14400/125) = 115.2.
Face value = Rs. (100x115.2 ) = Rs. 11520.
Annual income = Rs.(5/100x11520) = Rs. 576.
Answer A
Question: If the sum and difference of two numbers are 5 and 10 respectively, then the difference of their square is:
A.50
B.28
C.160
D.180
Answer: A.50
Explanation: Let the numbers be x and y.
Then, x + y = 5 and x - y = 10
x2 - y2 = (x + y)(x - y) = 5 * 10 = 50.
ANSWER:A
Question: 47% of the students in a class of 38 students has glasses or contacts. How many students in the class have either glasses or contacts?
A.15
B.16
C.17
D.18
Answer: D.18
Explanation: a=r⋅b
47%=0.47a
=0.47⋅34
a≈18
Option D is correct.
Question: A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?
A.10Kmph
B.11Kmph
C.12Kmph
D.13Kmph
Answer: C.12Kmph
Explanation: Average speed = 2xy/(x+y) = (2*15*10)/25 = 12Kmph
ANSWER:C
Question: In a barrel of juice there is 20 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
A.3:2.
B.2:1.
C.3:1.
D.4:3.
Answer: C.3:1.
Explanation: Price of 20 L juice= 3x
1L= 3x/20
Price of 80 L beer= 4x
1L= 4x/80
Ratio of 1 L price = 3x/20/4x/80= 3:1
C is the answer
Question: A fruit seller had some oranges. He sells 10% oranges and still has 360 oranges. How many oranges he had originally?
A.420
B.700
C.220
D.400
Answer: D.400
Explanation: Explanation :
He sells 10% of oranges and still there are 360 oranges remaining
=> 90% of oranges = 360
⇒ (90 × Total Oranges)/100 = 360
⇒ Total Oranges/100 = 4
⇒ Total Oranges = 4 × 100 = 400
Answer : Option D
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
A.1/3
B.2by3
C.2/5
D.3/5
Answer: B.2by3
Explanation: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.
Let x ml be the amount removed ---> total alcohol left = 4-0.4x
New quantity of whiskey added = x ml out of which 0.19 is the alcohol.
Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.
Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 2/3.
Hence, B is the correct answer.
Question: A train passes a station platform in 36 sec and a man standing on the platform in 25 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.288
B.165
C.881
D.1277
Answer: B.165
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 25 = 375 m.
Let the length of the platform be x m . Then,
(x + 375)/36 = 15 => x = 165 m.
Answer: B
Question: What is 2/5 of 5/9 of 1/2?
A.1/4
B.1/9
C.9/16
D.5/8
Answer: B.1/9
Explanation: 2/5 * 5/9 * 1/2= 1/9
Answer: B
Question: There are 19 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
A.1710
B.1920
C.2440
D.2860
Answer: A.1710
Explanation: The number of ways to choose two teams is 19C2 = 19*18/2 = 171
The total number of games in the season is 10*171 = 1710.
The answer is A.
Question: The food in a camp lasts for 36 men for 45 days. If twelve more men join, how many days will the food last?
A.80 days
B.30 days
C.65 days
D.34 days
Answer: D.34 days
Explanation: one man can consume the same food in 36*45 = 1620 days.
12 more men join, the total number of men = 48
The number of days the food will last = 1620/48
= 34 days.
Answer:D
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
A.71 years
B.72 years
C.74 years
D.77 years
Answer: A.71 years
Explanation: Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.
Answer: Option A
Question: The “c-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^c, where c is the c-number of the result of his die roll, and plots 3^c on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
A. 3/8
B. 13/36
C. 17/36
D. 19/36
Answer: B. 13/36
Explanation: If you calculate 3^c for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.
About distance: If the first result is 9 and the second is also 9, the distance is 9-9=0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is 81-9=72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance 81-9=72>9.
On the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:
probability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6) = 1/9
probability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9
probability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36
All together: 1/9 + 1/9 + 5/36 = 13/36=B
Question: If the LCM of 9, 12, 5, and x is 180, which of the following could be x?
A.10
B.12
C.13
D.9
Answer: A.10
Explanation: Using elimination method, eliminate the option to arrive at 10
if x is replaced by 10 and the LCM is calculated you arrive at 180
A
Question: Last week we got 3.5 inches of snow. Six-tenths of an inch melted before another storm added
8.3 inches. Since then we have lost 4.2 inches to melting or evaporation. How may inches of snow
are left on the ground?
A.7" remaining
B.5" remaining
C.8" remaining
D.6" remaining
Answer: A.7" remaining
Explanation: 3.5 - .6 = 2.9"
2.9 + 8.3 = 11.2"
11.2 - 4.2 = 7" remaining
correct answer A
Question: A man buy a book in Rs50 & sale it Rs100. What is the rate of profit ???
A.10%
B.100%
C.30%
D.25%
Answer: B.100%
Explanation: cp=50
sp=100
profit=100-50=50
%=50/50*100=100%
ANSWER:B
Question: Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are?
A.12, 24, 38
B.12, 24, 56
C.12, 24, 31
D.12, 24, 36
Answer: D.12, 24, 36
Explanation: Let the required numbers be x, 2x and 3x. Then, their H.C.F = x. So, x = 12.
The numbers are 12, 24, 36.
Answer: D
Question: When a train travels at a speed of 90kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
A.18.75km
B.50km
C.60km
D.85km
Answer: A.18.75km
Explanation: Let x be the time reached with the speed 90km/h
50km/h ----> x+15
Distance is equal so
90(km/h)× xhr = 50(km/h) × (x+15) hr
So
90 x = 50x + 750
So the would be in km
And x = 18.75
ANSWER:A
Question: A man has Rs.680 in the denominations of two-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.160
B.40
C.680
D.120
Answer: D.120
Explanation: Let number of notes of each denomination be x.
Then 2x + 5x + 10x = 680
17x = 680
x = 40
Hence, total number of notes = 3x = 120.
Answer is D