RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A crate measures 5 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
A.2
B.4
C.5
D.8
Answer: C.5
Explanation: We can find the radius of all the three cases of cylinders.
The only crux to find the answer faster is that:
Voulme is pi*r^2*h. The volume is a function of r^2. so r has to be the highest to find the largest volume.
So r=5 for the surface 8*12 face.
Volume = 125pi
Answer C
Question: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 10 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
A.27 sec
B.87 sec
C.67 sec
D.36 sec
Answer: D.36 sec
Explanation: Explanation:
Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 300 / (10 + 20)5/18 = 300 x 18 / 30 x 5 = 36 seconds.
Answer: D
Question: What is the probability that Company W's advertisement will be one of the first two be shown during the first commercial break?
A. 1/ 225
B. 1 / 30
C. 1 /15
D. 2 / 15
Answer: D. 2 / 15
Explanation: W 1/15 + (14/15) * 1/14 = 2/15 D
Question: At 1:00, Annie starts to bicycle along a 71 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
A.2:00
B.2:30
C.3:00
D.3:30
Answer: D.3:30
Explanation: In the first 30 minutes, Scott can travel 6 miles, so there are 65 miles left.
Together Annie and Scott can complete 26 miles.
65/26 = 2.5, so they will meet 2.5 hours after 1:00.
The answer is D.
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
A.10
B.28
C.277
D.299
Answer: A.10
Explanation: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.
x + y = 7 --- (1) ; 2x = 4 --- (2)
solving both the equations, we get y = 5
So, time taken to cover both ways by cycle = 2y hours = 10 hours.
Answer: A
Question: If 50% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
A.3:2
B.2:3
C.1:2
D.4:5
Answer: B.2:3
Explanation: Let 50% of A = 1/3 B. Then,
50A/100 = 1B/3 => 1A/2 = 1B/3
A/B = (1/3 * 2/1) = 2/3
A:B = 2:3.
Answer: B
Question: Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?
A.20; 8.
B.30; 9
C.15; 6
D.10; 5.
Answer: B.30; 9
Explanation: Scientists have found new evidence.
Let R be the initial number of rooms and F be the no of members
Then as per the given question : R+2 should be divisible by F-1..
Now check the given values and see which satisfy the above
Only two values satisfy the condition :
10, 5
30,9
10,5 can't be the solution as its already mentioned in statement that the initial no of room are not divisible by the initial no of family members .. hence answer is 30,9
ANSWER:B
Question: The average of 5 numbers is 7.4. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. What number is multiplied by 3?
A. 1.5
B. 3.0
C. 3.9
D. 4.5
Answer: D. 4.5
Explanation: The average of 5 numbers is 7.4
The sum of 5 numbers will be 7.4 x 5 = 37
The average of 5 number after one of the number is multiplied by 3 is 9.2
The sum of the numbers will now be 9.2 x 5 = 46
So the sum has increased by 46-37 = 9
Let the number multiplied by 3 be n
Then,
3n = n+9
or 2n = 9
or n = 4.5
Answer:- D
Question: Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers e did Carl drive each way?
A. 350
B. 345
C. 320
D. 280
Answer: D. 280
Explanation: Let us backsolve here.
The answer option has to be divisible by 7 to give us 1/2.
Let us try e=280 km. Time taken will be 3.5 hours and 4 hours.
Hence D is the answer.
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 41, what is the value of K?
A. 41
B. 15 3/4
C. 22
D. 23
Answer: A. 41
Explanation: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 41
11K = 41 * 4 +1 = 164 +1 = 165
K = 165 / 11 = 15.
Answer A.
Question: If k^3 is divisible by 540, what is the least possible value of integer k?
A.12
B.30
C.60
D.90
Answer: B.30
Explanation: 540 = 2^2*3^3*5
Therefore k must include at least 2 * 3 * 5 = 30.
The answer is B.
Question: A train passes a station platform in 36 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.120 m
B.240 m
C.300 m
D.360 m
Answer: B.240 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)/36	= 15
x + 300 = 540
x = 240 m.Answer: Option B
Question: rectangle dimensions were given,2 doors dimensions given, 2 windows dimensions given. 70cm wide wallpaper to be covered on the walls of this room. Cost of wallpaper is 60 per meter.. calculate total cost
A.20
B.25
C.30
D.60
Answer: D.60
Explanation: area of room=(l*b) m^2
area of door+window=(d+w)m^2
Remaining area= ((l*b)-(d+w))m^2
So length=Remaining area/0.70 m
Total cost= length*60---ans
and total cost=60
ANSWER:D
Question: A waiter's salary consists of his salary and tips. During one week his tips were 5/3 of his salary. What fraction of his income came from tips ?
A.4/9
B.5/4
C.5/8
D.5/9
Answer: C.5/8
Explanation: Income = salary (s) +tips = s + s*5/3 = s*8/3
Tips = s*8/3
fraction of his income came from tips = (s*5/3)/(s*8/3)= 5/8
ANSWER:C
Question: Today David is twice as old as Sam and Sam is 3 years younger than Dravid. If David, Sam, and Dravid are all alive 4 years from today, which of the following must be true on that day.
I. David is twice as old as Sam
II. Sam is 3 years younger than Dravid
III. David is older than Dravid
A.II
B.I, II & III
C.III
D.I
Answer: B.I, II & III
Explanation: Say Dravid age is 10
Sam age is 7
David age is 14
After 4 years
Dravid age is 14
Sam age is 11
David age is 28
i.e ) after 4 years
Sam is 3 years younger than David
David is twice as old as Sam
David is older than Dravid
Answer : B
Question: What is the tens' digit E of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
A.E=2
B.E=3
C.4
D.8
Answer: B.E=3
Explanation: All of the first 40 terms have 1 at the units place.
Except the first term, the tens digit of all the remaining 39 terms is 1.
So now if you do the addition
1 1
1 1
. . .
. . .
. . .
1 1
0 1
3 0
Answer is B
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
A.110
B.140
C.185
D.200
Answer: C.185
Explanation: The committee of 4 persons is to be so formed that it has at least 2 men. The different ways that we can choose to form such a committee are:
(i) 2m. 2w in 6C2 x 4 C1=6X5 - 2X1 X 3X3 2X1 =n an (ii) 3m. 1w in 6C3 x 4C1 =6X5X4 3X2X1 X4 _n - a ''''
(iii) 4m in 6C4 -2x1 = 15 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least 2 men. = 90 + 18 + 15 = 185
C
Question: The average height of 35 boys in a class was calculated as 184cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
A.187.89 cm
B.182.29 cm
C.123.98 cm
D.149.98 cm
Answer: B.182.29 cm
Explanation: Calculated average height of 35 boys = 184 cm.
Wrong total height of 35 boys = 184 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 183 cm - (166 cm + 106 cm)/35
= 184 cm - 60 /35 cm
= 184 cm - 1.71 cm = 182.29 cm.
Answer: B
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements R.
A.a) 48
B.b) R=144
C.c) R=240
D.d) R=288
Answer: C.c) R=240
Explanation: One specific boy is seated to either of end seat, lets call him b1
One specific girl is seated in the middle, lets call her g1
Note the question says *specific girl* and *specific boy*, so we do not consider for example the other girl , g2, being seated on seat #4. Same goes with the specific boy, b1.
b1 can be seated 2 different seats : 2!
g1 is seated on the seat #4, fixed (no other alternative) : 1
the remaining 5 seats can be filled with the remaining people b2,b3,g2,w1,w2: 5!
2! x 1 x 5! = 240
Answer C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.2881
C.2771
D.1111
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Question: What is the greatest prime factor of 42^2+75^2+6300
A.3
B.7
C.11
D.13
Answer: D.13
Explanation: 42^2 = (50-8)(50-8) = 1764
75^2 = (100-25)(100-25) = 5625
1764+5625+6300 = 13689
this number is divisible by 3 and 9
divide by 9 and get 1521, the sum of this number is again a multiple of 9, thus we can divide it one more time by 9. we get 169, and 169 is 13^2. thus the answer is 13.
ANSWER:D
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 180 units?
A.50 hours
B.40 hours
C.22.5 hours
D.12 hours
Answer: C.22.5 hours
Explanation: Here, we're told that 5 machines can produce 20 units in 10 hours....
That means that EACH machine WORKS for 10 hours apiece. Since there are 5 machines (and we're meant to assume that each machine does the same amount of work), then the 5 machines equally created the 20 units.
20 units/5 machines = 4 units are made by each machine every 10 hours
Now that we know how long it takes each machine to make 4 units, we can break THIS down further if we choose to...
10 hours/4 units = 2.5 hours per unit when 1 machine is working.
The prompt asks us how long would it take 20 machines to produce 180 units.
If 20 machines each work for 2.5 hours, then we'll have 20 units. Since 180 units is '9 times' 20, we need '9 times' more TIME.
(2.5 hours)(9 times) = 22.5 hours
Final Answer:
[Reveal]Spoiler:
C
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-fourth of the males and three-fourths of the females in the class?
A.186
B.192
C.198
D.204
Answer: C.198
Explanation: 1/4*2/5 + 3/4*3/5 = 2/20 + 9/20 = 11/20
The number of degrees is 11/20 * 360 = 198 degrees
The answer is C.
Question: A cube has four of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
A.1:4
B.1:3
C.1:2
D.2:5
Answer: C.1:2
Explanation: Let x be the area of each face of the cube.
The area painted red is 4(x/2) = 2x
The area painted white is 4(x/2) + 2x = 4x
The ratio of red to white is 2x:4x which is 1:2.
The answer is C.
Question: If the range W of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
A.	0
B.	2
C.	12
D.	13
Answer: D.	13
Explanation: The range W of a set is the difference between the largest and smallest elements of a set.
Without x, the difference between the largest and smallest elements of a set is 14-3=11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.
The the difference between the greatest possible value of x and least possible value of x is 15-2=13.
Answer: D.
Question: A man can row 4 kmph is still water. If the river is running at 2 kmph it takes 90 min to row to a place and back. How far is the place
A.2 km
B.4 km
C.5 km
D.2.25 km
Answer: D.2.25 km
Explanation: Explanation :
Speed in still water = 4 kmph
Speed of the stream = 2 kmph
Speed upstream = (4-2)= 2 kmph
Speed downstream = (4+2)= 6 kmph
Total time = 90 minutes = 90⁄60 hour = 3⁄2 hour
Let L be the distance. Then
(L/6) + (L/2) = 32
=> L + 3L = 9
=> 4L = 9
=> L = 9⁄4= 2.25 km. Answer : Option D
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
A.× 108 miles
B.× 1010 miles
C.× 10-10 miles
D.× 1012 miles
Answer: D.× 1012 miles
Explanation: Solution:
The distance of the light travels in 100 years is:
5,870,000,000,000 × 100 miles.
= 587,000,000,000,000 miles.
= 587 × 1012 miles.
Answer : D
Question: Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?
A.4000
B.3000
C.4500
D.5000
Answer: B.3000
Explanation: Let the money he took for shopping be m.
Money he spent = 30 % of m
= 30/100 × m
= 3/10 m
Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10
But money left with him = $ 2100
Therefore 7m/10 = $ 2100
m = $ 2100× 10/7
m = $ 21000/7
m = $ 3000
Therefore, the money he took for shopping is $ 3000.
B)
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by A are?
A.11
B.18
C.13
D.16
Answer: D.16
Explanation: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
4/25 * 100 = 16
Answer:D
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
A.31.7
B.31.21
C.31.6
D.31.37
Answer: C.31.6
Explanation: 100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4
= 31.6
Answer:C
Question: A number exceeds by 20 from its 3/8 part. Then the number is?
A.A)32
B.B)35
C.C)39
D.D)40
Answer: A.A)32
Explanation: x – 3/8 x = 20
x = 32
ANSWER:A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
A.24
B.18
C.20
D.30
Answer: A.24
Explanation: 2c = Â¼ + 1/6 â€“ 1/3 = 1/12
c = 1/24 => 24 days
ANSWER A
Question: Out of 4 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
A.1/6
B.10/21
C.20/21
D.11/16
Answer: A.1/6
Explanation: The number of exhaustive events = 4C2 =6.
Let E be event of the 2 fruits being rotten. The number of favourable cases are
2C2 = 1 way.
Required probability = 1/6
ANSWER:A
Question: A number is four less than two times the other number. If their difference is 21, what is the greater number?
A.50
B.46
C.31
D.21
Answer: B.46
Explanation: A = one number
B = other number
A = -4 + 2B
A - B = 21
solve for A by adding B to each side
A = B + 21
Substitute (B + 21) for A in A = -4 + 2B
(B + 21) = -4 + 2B
add -B to each side
21 = -4 + B
add 4 to each side
25 = B
Since A = B + 21 , A = 25 + 21 , A = 46
ANSWER:B
Question: A Man travelled a distance of 48 km in 7 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
A.16 km
B.20 km
C.12 km
D.10 km
Answer: B.20 km
Explanation: Explanation:
Let the time in which he travelled on foot = x hour
Time for travelling on bicycle = (9 - x) hr
Distance = Speed * Time, and Total distance = 48 km
So,
4x + 7(9-x) = 48
=> 3x = 15
=> x = 5
So distance traveled on foot = 4(5) = 20 km
Answer: Option B
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $8.00 each, what was Company C’s gross profit?
A. $2,250
B. $2,500
C. $2,100
D. $2,150
Answer: C. $2,100
Explanation: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 8 = $4000
Profit: 4000 - 1900 = $ 2100
Option C is correct
Question: Steve traveled the first 2 hours of his journey at 30 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
A.60 mph
B.56.67 mph
C.53.33 mph
D.64 mph
Answer: A.60 mph
Explanation: Distance traveled in 2 hours = 2 * 30 = 60 m
Distance traveled in 3 hours = 3 * 80 = 240m
Total distance covered = 240 + 60 = 300m
Total time = 2 + 3 =5 h
Hence avg speed = total distance covered / total time taken
= 300/5 = 60 mph
Answer: A
Question: Find the no.of ways of arranging the boy and 5 guests at a circular table so that the boy always sits in a particular seat?
A.7!
B.5!
C.9!
D.10!
Answer: B.5!
Explanation: Ans.(B)
Sol. Total number of persons = 6 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 5 places in 5P5 = 5! Ways ... The number of required arrangements = 5! x 1= 5! = 5! ways
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?
A.30 dollars
B.40 dollars
C.50 dollars
D.60 dollars
Answer: A.30 dollars
Explanation: Solution
2 × (10 + 5) = 2 × 10 + 2 × 5 = 20 + 10 = 30 dollars
Answer A
Question: A person X working alone can complete a work in 5 days. A person Y completes the same amount of work in 20 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
A.13
B.14
C.15
D.16
Answer: A.13
Explanation: The fraction of work completed in two days is 2/5 + 2/20 + 2/30 = 17/30
The fraction of work remaining is 1 - 17/30 = 13/30
The number of days required for Z is 13 days.
The answer is A.
Question: We can rent a canoe for x cents per minute for the first 30 minutes and then y cents for each additional minute. How much will it cost to rent a canoe for z minutes, where z>30?
A.30y+(z-30)x
B.30x + zy
C.30x+(z-30)y
D.30x + 30y
Answer: C.30x+(z-30)y
Explanation: The first 30 minutes cost 30x.
The next (z-30) minutes cost (z-30)y.
The total cost is 30x+(z-30)y.
The answer is C.
Question: If d is the standard deviation x, y, and z, what is the standard deviation of 2x, 2y, 2z ?
A.d
B.2d
C.15d
D.d + 5
Answer: B.2d
Explanation: If we add or subtract a constant to each term in a set:
Mean will increase or decrease by the same constant.
SD will not change.
If we increase or decrease each term in a set by the same percent (multiply by a constant):
Mean will increase or decrease by the same percent.
SD will increase or decrease by the same percent.
So in our case SD will change by same multiple (% increase) as we are multiplying each number in a set by 2--> SD=2d.
Answer: B.
Question: In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
A.30
B.45
C.60
D.75
Answer: D.75
Explanation: Whole trip = distance by foot + distance by bus + distance by car
x = 1/5x + 2/3x + 10
x - 13/15x = 10
2/15x = 10=> so x = (15/2)*10 = 75Km
Answer D
Question: If 1 tic equals 5 tacs and 2 tacs equal 8 tocs, what is the ratio of one tic to one toc?
A.15/2
B.20/1
C.5/6
D.3/10
Answer: B.20/1
Explanation: Tic=5*Tac and 2*Tac=8*Toc;
2*Tic=10*Tac and 10*Tac=40*Toc --> 2*Tic=40*Toc --> Tic/Toc=40/2=20/1.
Answer: B.
Question: On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday?
A.0.008
B.0.125
C.0.147
D.0.512
Answer: C.0.147
Explanation: Re-phrasing the question:
What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain
Probability of rain = 0.3
Therefore, probability of no rain = 0.7
0.7*0.7*0.3 = 0.147
Hence C
Question: How much 60% of 50 is greater than 34% of 30?
A.18
B.19.8
C.11
D.17
Answer: B.19.8
Explanation: (60/100) * 50 – (34/100) * 30
30 - 10.2 = 19.8
Answer: B
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.6 ½ sec
B.9 ½ sec
C.3 ½ sec
D.7 ½ sec
Answer: D.7 ½ sec
Explanation: \70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 ½ sec
Answer:D
Question: A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?
A.40 sec
B.50 sec
C.88 sec
D.19 sec
Answer: B.50 sec
Explanation: Speed = 36 * 5/18 = 10 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 1/10 = 50 sec
Answer: B
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 450 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
A.515.
B.678.
C.618.
D.644.
Answer: B.678.
Explanation: Answer is B :678
Solution : Total number of students studying both are 450 + 226 - 134 = 542 (Subtracting the 134 since they were included in the both the other numbers already).
So 80% of total is 542, so 100% is approx. 678.
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
A.5!
B.8!
C.9!
D.10!
Answer: B.8!
Explanation: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 6?
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: 6
To be divisible by six the sum of the digits must be divisible by 3 and be even. Use same logic as finding all divisible by three but strike all odd answers. Highest number becomes 72 and we select from the divisible by 3 answers the even numbers.
72 -yes
54 -yes
42 - yes
36 - yes
24 - yes
12 - yes
Correct answer is B.
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 7200 interest. The principal amount borrowed by him was.
A.Rs 14000
B.Rs 15000
C.Rs 16000
D.Rs 20000
Answer: D.Rs 20000
Explanation: Explanation:
S.I.=Pâˆ—Râˆ—T/100
=>P=S.I.âˆ—100/Râˆ—T
=>P=7200âˆ—100/12âˆ—3=Rs 20000
Option D
Question: What approximate value should come in place of the question mark (?) in each of the following equations ?
(9.009)1/2 + (16.0001)1/4 = (?)% of 50.5
A.7
B.8
C.5
D.10
Answer: D.10
Explanation: Explanation :
92 + 162 = (?)% of (50.5) 3 + 2 = (2)% of (50.5) 5 = 10% of (50.5)
Answer : Option D