RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
A.1/25
B.1/27
C.1/28
D.1/22
Answer: A.1/25
Explanation: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer:A
Question: The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
A.1: 8
B.4:9
C.1: 9
D.1: 3
Answer: B.4:9
Explanation: r1: r2 = 2: 3
Πr12: Πr22
r12: r22 = 4: 9
Answer:B
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
A.15
B.14
C.10
D.8
Answer: C.10
Explanation: Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
Option C
Question: A car is running at a speed of 60kmph. What distance will it cover in 8sec?
A.100m
B.136m
C.180m
D.200m
Answer: B.136m
Explanation: Speed = 60kmph = 60*5/18 = 17 m/s
Distance covered in 8sec = 17*8 = 136m
Answer is B
Question: Look at this series: 32, 31, 33, 32, 34, 33, ... What number should come next?
A.38
B.32
C.35
D.36
Answer: C.35
Explanation: Here we alternatively subtracted 1 and added 2 then subtracted 1 and added 2 and so on..
The answer is option C (35)
Question: This year, MBB Consulting fired 8% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
A.98.5%
B.101.2%
C.102.8%
D.104.5%
Answer: B.101.2%
Explanation: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
8% reduction in employees lead to 92 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 92 employees is 92*1100 = 101200
Now the new salary is more than previous salary by x%. x = (101200/100000)*100 = 101.2%
So the Answer is B
Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
A.I only
B.II only
C.III only
D.I and II only
Answer: B.II only
Explanation: Factors of 30 are 1,2,3,6,5,10,15,30.
for options 1) & 3) consider a=2 and b=1 we find then 3 ,which is a factor
but for option 2) any values doesn't melts to any factor.
eg:-if we put a=3 and b=1 then (a+b)^2 =16 which is not a factor of 30
ANSWER:B
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 10 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
A.37.5 kilometers per hour
B.48 kilometers per hour
C.50 kilometers per hour
D.75 kilometers per hour
Answer: C.50 kilometers per hour
Explanation: Time taken to reach first 40 km is 40/60 = 2/3 hr
Time taken to reach next 40 km is 40/60 = 2/3 hr
Time taken to reach next 20 km is 20/60 = 1/3 hr
Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...
Each stop was of 10 min , so two 10min break = 2*1/6 => 1/3 hr
Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+1/3 ) = 6/3 => 2 hrs
So, Average speed is 100/2 = 50km/hour
Answer will be (C) 50
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 2: 15. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
A.20 kg
B.6.625 kg
C.6.25 kg
D.6.35 kg
Answer: A.20 kg
Explanation: sodium chloride in 100 kg = 2/17 x 100 = 11.76 kg
ammonium in 100 kg = 15/17 x 100 = 88.23 kg
Now 88.23 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 88.23= 31.76
Amount to be added = 31.76 - 11.76 =20 Kg
ANSWER:A
Question: If c+5/d is a prime integer, which of the following must be true?
1.d=5c
2. d is a prime integer
3. c+5/d is ODD.
A.None
B.1 only
C.2 only
D.1 and 2 only
Answer: A.None
Explanation: I would pick up numbers and do .
i hope the question is (c+5)/d....
let c = 3 , d = 4
3+5/4 = 2 = Prime
1. d is not equal to 5c
2.d is not a prime number
3. (c+5)/y is not odd.
hence A
Question: If 1400*xy=1050. Then what is the value of xy=?
A.1/5
B.2/5
C.3/4
D.3/7
Answer: C.3/4
Explanation: 1400 x xy = 1050 xy =	1050	=	3/4
1400
C
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,429
II. 88,865,544,264
III. 5,555,554,673
A.I​I only
B.I and II​
C.II and III
D.II Only
Answer: A.I​I only
Explanation: III & I. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D
Among option I and II lets check the divisibility of 3
II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3
Thus among the given options only (A) holds true.
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜COMPUTERâ€™, using each letter exactly once?
A.43232
B.40320
C.43332
D.89000
Answer: B.40320
Explanation: The word â€˜COMPUTERâ€™ contains 8 different letters.
Therefore, Required number of words= Number of arrangement of 8 letters, taken all at a time
=8P8
= 8!
= 8*7*6*5*4*3*2*1
= 40320
ANSWER:B
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . How many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference?
A.10 feet
B.12 feet
C.13 feet
D.15 feet
Answer: D.15 feet
Explanation: total circuit=25/5=5
total feet squirrel travels=5*3=15 feet
ANSWER:D
Question: 5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
A.1:2
B.1:5
C.2:3
D.3:2
Answer: B.1:5
Explanation: Explanation:
(5 Ã— 2) women can complete the work in 1 day.
âˆ´ 1 woman's 1 day's work = 1/10
(10 Ã— 5) men can complete the work in 1 day.
âˆ´ 1 man's 1 day's work = 1/50
so, required ratio =1/10 : 1/50= 1:5
Answer: B
Question: There are 16 students in a class. On the day the test was given, Bob was absent. The other 15 students took the test and their average was 77. The next day, Bob took the test, and with this grade included, the new average was 78. What was Bob's grade on the test?
A.92
B.93
C.94
D.95
Answer: B.93
Explanation: 15*77+Bob's grade=16*78
Alice's grade is 16*78-15*77=93.
The answer is B.
Question: Subtracting 6% of A from A is equivalent to multiplying A by how much ?
A.0.94
B.9.4
C.0.094
D.94
Answer: A.0.94
Explanation: Answer
Let A - 6% of A = AB.
⇒ (94 x A) / 100 = AB
∴ B = 0.94
Correct Option: A
Question: {3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
A.16/5, 28/3
B.4, 16/5
C.4, 16/5, 28/3
D.4, 28/3
Answer: D.4, 28/3
Explanation: The set can have the following forms:
1. {3,5,8,x} , range = x-3 and mean = 4+x/4, x = 28/3
2. {3,5,x,8} , range = 5 and mean = 4+x/4, x=4
3. {3,x,5,8} , range = 5 and mean = 4+x/4, x=4
4. {x,3,5,8} , range = 8-x and mean = 4+x/4, x=16/5. But as x<3 (assumed here), x=3.2 can not be true. Hence reject this case.
Thus the possible values are 4 and 28/3.
D is the correct answer.
Question: How many cubes will remain if the cubes having black and green coloured are removed ?
A.16
B.15
C.8
D.12
Answer: A.16
Explanation: Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
ANSWER A
Question: The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:
A.–7
B.8
C.10
D.12
Answer: B.8
Explanation: x^2 - 4x + 6 = |x-4|
RHS can be -ve or +ve
x^2 - 5x + 10 = 0
x^2 - 3x + 2 = 0
x= 5,2,1
We test all 3 values in original equation, all ok.
Thus, Sum = 5 + 2 +1 = 8
Ans (B)
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 47.5km apart?
A.1 1/4 hours
B.2 1/3 hours
C.4hours
D.3 3/4 hours
Answer: A.1 1/4 hours
Explanation: To be (18+20) km apart, they take 1 hour
To be 47.5 km apart, they take 1/38 * 47.5 = 1 1/4 hrs
Answer is A
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
A.$18,400
B.$19,500
C.$20,200
D.$20,400
Answer: C.$20,200
Explanation: Important point to notice- 2.5% decrease from the original price
2.5% of 22,000= 550
Total reduction in 6 years= 550*6= 3300
Final price= 22,000 +1500 - 3300= 20,200
C is the answer
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
A.6 hrs 21 minute
B.6 hrs 71 min
C.6 hrs 28 min
D.6 hrs 21 min
Answer: A.6 hrs 21 minute
Explanation: Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 3 * 7 = 21 min
Hence, total time taken = 6 hrs 21 min.
Answer: A
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
A.22
B.23
C.25
D.35
Answer: C.25
Explanation: Explanation:
Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.
Answer: C
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.388
B.240
C.88
D.66
Answer: B.240
Explanation: Speed = (54 * 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 meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer:B
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in?
A.6 hours
B.8 hours
C.9 hours
D.10 hours
Answer: B.8 hours
Explanation: The pump can fill the tank in 2 hour. But, because of the leak, it took 8/3 hours to fill the tank.
i.e., the additional water filled by the pump in 2/3 hour is emptied by the leak in 8/3 hours.
Therefore, the water filled by pump in 2 bour can be emptied by the leak in (8/3)*3=8 hours.
i.e., The leak can drain all the water of the tank in 8 hours.
ANSWER:B
Question: What digit appears in the units place in the number obtained when 2^320 is multiplied out?
A.0
B.2
C.4
D.6
Answer: D.6
Explanation: 2^320=2^4K
put k=1
last digit of 2^4=16
last digit6
Answer=> D) 6
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A.33
B.88
C.66
D.12
Answer: D.12
Explanation: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds.
Answer: D
Question: How many of the following numbers are divisible by 16 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
A.2
B.4
C.5
D.6
Answer: A.2
Explanation: By using your calculator you can calculate that the following numbers are divisible by 16 : 5184, 6336
Required number of number = 2.
A
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern?
A.90 min
B.100 min
C.110 min
D.120 min
Answer: D.120 min
Explanation: 1/60-(1/60+1/120)=-1/120
third pipe can empty in 120 minutes
ANSWER:D
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
A.10 feet
B.12 feet
C.13 feet
D.15 feet
Answer: B.12 feet
Explanation: total circuit=16/4=4
total feet squirrel travels=4*3=12 feet
ANSWER:B
Question: 51 = 4a + 3b
5 > |–a|
If a and b are both integers, What is the highest values of ‘a’ that can be used to solve the above equation.
A.1
B.2
C.3
D.-3
Answer: C.3
Explanation: Let us understand the meaning of 5 > |-a|
1) when we write |-x| this means the same as |x|.
2) Mod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |x-(a)| < b means the distance is between the two extreme distance(left and right side of 'a' on number line, considering the max distance is 'b' from 'a' - as per this scenario.....hence the value of 'a' must be between these two extremes. |x-(a)| > b means the distance is greater than the distance of 'b'..i.e the value of a could be anywhere more than 'b'.
Now come to the question. First its given|-a| < 5 ==> |a| < 5 ===> |a-0| < 5 ==> the distance from zero is less than 5. So the point will be -4,-3,-2,-1,0,1,2,3,4 as distance from 0 to these values is less than 5.
Now, lets move to equation 4a + 3b = 51 ==> b = 17 – (4 *(a/3)). According to question, b is an integer, hence to make b integer a must be divisible by 3. Now remove the value which can’t make a divisible by 3 from the possible values of a. It will remain with -3 and 3. Out of these two values 3 is higher and it which makes the value of b = (17 - (4 * (3/3)) = 17 - 4 ==> b = 13 (an integer). Hence the Answer is C (value 3).
Question: Can you find the smallest non fractional number such that
If the number gets divided by 4 , we get the remainder of 1;
If the number gets divided by 5 , we get the remainder of 2
If the number gets divided by 6 , we get the remainder of 3;
If the number gets divided by 7, we get the remainder of 4.
A.550
B.418
C.581
D.443
Answer: B.418
Explanation: B.
418
As we know LCM of the numbers 4,5,6 & 7 is 420.
So if i divide 420 by any of the four number , it gives remainder as 0.
Now to get reminder as desired, is should be 2 short of 418. (3-1,4-2,5-3,6-4 )
ANS:option B
Question: A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
A.80
B.100
C.120
D.140
Answer: C.120
Explanation: filling rate - leak rate = net rate
1/7.5 - leak rate = 1/8
leak rate = 2/15 - 1/8 = 1/120
The answer is C.
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
A.1500
B.1800
C.2100
D.1950
Answer: A.1500
Explanation: P = 15(100/10)2 => P = 1500
ANSWER:A
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.4256
B.5336
C.6000
D.3000
Answer: B.5336
Explanation: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.	4236
B.	4306
C.	4336
D.	5336
E.	None of these
Answer: Option D
Explanation:
Divisor = (5 x 46) = 230
10 x Quotient = 230 =	230	= 23
10
Dividend = (Divisor x Quotient) + Remainder
= (230 x 23) + 46
= 5290 + 46
= 5336.
ANSWER B
Question: Five friends Adi, Brian, Close, Derek and Eli appeared in two aptitude tests. In the first aptitude test, Derek score 50% less than the average score of the five people. In the second aptitude test, Derek score 50% more than what he scored on the first aptitude test. If the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was Derek's score less than the average score of the 5 people in the second aptitude?
A.25%
B.28%
C.33%
D.40%
Answer: A.25%
Explanation: Average score in first test be X
So derby score = 0.5X (first test)
Derby score =1.5(0.5X) ( second test) =.75X
So less than X by .25
Answer A 25%
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.16 km/hr
B.50 km/hr
C.15 km/hr
D.17 km/hr
Answer: B.50 km/hr
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: B
Question: Change the below lagarithm log255 = 1/2 to exponential form
A.5
B.8
C.7
D.10
Answer: A.5
Explanation: Solution:
log255 = 251/2 = 5
ANSWER IS A
Question: A train covers a distance of 12 km in 10 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
A.298 m
B.188 m
C.120 m
D.160 m
Answer: D.160 m
Explanation: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 8
= 160 m.
Answer:D
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
A.237788
B.27667
C.11760
D.29877
Answer: C.11760
Explanation: Required number of ways =
Answer: C) 11760
Question: what is the compound interest on rs:40,000 for 4 months at the rate of 5% per annum
A.670.85
B.671.85
C.672.85
D.673.85
Answer: A.670.85
Explanation: it is monthly compound
rate=5/12% per month
40000*(1+5/1200)^4-40000=670.85
ANSWER:A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 6 years?
A.1 : 3
B.2 : 3
C.1 : 2
D.3 : 2
Answer: D.3 : 2
Explanation: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 9)/100 DIVIDED BY	(P x R x 6)/100
=	9PR/6PR	=	9/6	= 3 : 2.
ANSWER : D
Question: If three machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
A.36
B.60
C.75
D.80
Answer: A.36
Explanation: using the std formula
m1d1h1/w1=m2d2h2/w2
substituting the values we have
3*1/2*4/3=2*5/3*x (converted 30 min into hours =1/2)
2=10/3*x
x=3/5 hour
so 36 minutes
ANSWER:A
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
A.130
B.85
C.45
D.Cannot be determined
Answer: B.85
Explanation: Solution
For drawing a circle we need 3 non collinear points.This can be done in:
3C3 + 3C2 × 7C1 + 3C1 × 7C2 = 1 + 21 + 63 = 85. Answer B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.17 1/7 days
B.17 1/8 days
C.17 1/9 days
D.17 7/7 days
Answer: A.17 1/7 days
Explanation: 1/30 + 1/40 = 7/120
120/7
= 17 1/7 days
Answer: A
Question: Pipes A and B can fill a cistern in 9 and 72 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A.13
B.12
C.16
D.18
Answer: C.16
Explanation: :
1/9 + 1/72 = 1/8
8 * 2 = 16.Answer:C
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, ... What number should come next?
A.7
B.10
C.12
D.13
Answer: D.13
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
The answer is D.
Question: At a conference table, 9 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 9 employees?
A.41000
B.41320
C.42320
D.40320
Answer: D.40320
Explanation: Head's sit is fixed. Now 8 people is left with 8 seats.
8 people can sit on 8 seats in 8! ways or 40320 ways.
Ans is D
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -6). What is the slope of line m ?
A.-3
B.-1
C.-1/3
D.0
Answer: B.-1
Explanation: Ans:B
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-1)
as we can see that the y axis of intercept point is (0,-2) means line m is parallel to x axis
slope M= -1
Ans: B
Question: The sale price of a trolley bag including the sale tax is Rs. 420. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
A.Rs 625
B.Rs 300
C.Rs 350
D.Rs 375
Answer: B.Rs 300
Explanation: Explanation :
112% of S.P. = 420
S.P. = Rs.(420x 100/112) = Rs.375.
C.P. = Rs (100/125x 375) = Rs 300
Answer : B
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
A.25200
B.32500
C.45100
D.15460
Answer: A.25200
Explanation: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= 7C3 * 4C2
= 210
Number of groups each having 3 consonants and 2 vowels = 210
Each group contains 5 letters
Number of ways of arranging 5 letters among themselves
= 5! = (5 * 4 * 3 * 2 * 1)
= 210
Required number of words = (210 * 210)
= 25200
Ans: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.157.58
B.157.56
C.157.5
D.157.52
Answer: C.157.5
Explanation: (3500*1.5*3)/100 => 157.50
Answer:C
Question: If 20% of a number is equal to three-fifth of another number, what is the ratio of first number to the second number?
A.3:1
B.2:1
C.1:3
D.1:2
Answer: A.3:1
Explanation: Let 20% of A = 3/5 B. Then,
20A/100 = 3B/5 => 1A/5 = 3B/5
A/B = (3/5 * 5/1) = 3/1
A:B = 3:1.
Answer: A
Question: A basket has 6 apples and 6 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
A.1/2
B.1/3
C.1/4
D.2/5
Answer: A.1/2
Explanation: The total possible choices are 12C3 = 220
The ways to choose 3 apples: 6C3 = 20
The ways to choose 2 apples: 6C2 * 6C1 = 90
P(at least 2 apples) = 110/220 = 1/2
The answer is A.
Question: By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
A.Rs. 444.44
B.Rs. 255.50
C.Rs. 100.10
D.Rs. 810
Answer: A.Rs. 444.44
Explanation: Explanation:
Let the original price of the article be Rs. 100. Hence the purchase price for the trader would be Rs. 80 and his selling price would be Rs. 125. Thus, he would earn a profit of Rs. 45 (125 – 80). Therefore,
Profit is Rs. 45 if the original price is Rs. 100
Hence, if profit is Rs. 200, then original price will be..
= 100x 200/45
= Rs. 444.44
ANSWER A
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.288
B.278
C.267
D.285
Answer: D.285
Explanation: Since the month begins with a Sunday, so there will be five Sundays in the month.
Required average = [(510 * 5) + (240 * 25)]/30
= 8550/30
= 285.
Answer: D
Question: Select the non termination decimal among the following.
A.11/3
B.3/4
C.4/5
D.7/8
Answer: A.11/3
Explanation: A. Non terminating decimal means that 11/3 = 3.66666 and so on.
Question: How many paying stones, each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board?
A.99
B.18
C.26
D.15
Answer: D.15
Explanation: 15 * 6 = 3 * 2 * x => x
= 15
Answer: D