RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed:
A.27 birds
B.72 birds
C.30 birds
D.80 birds
Answer: A.27 birds
Explanation: Let the total number of shots be x. Then,
Shots fired by A =(5/8)x
Shots fired by B =(3/8)x
Killing shots by A =(1/3)of	(5/8)x=(5/24)x
Shots missed by B =(1/2) of (3/8)x	=(3/16)x
3x/16= 27 or x =(24 x 16)/3= 128.
Birds killed by A =(5x/24)	=(5/24*128)= 27.
Answer is A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
A.10
B.15
C.18
D.36
Answer: D.36
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
2x =(120+120)/12
2x = 20
x = 10.
Speed of each train = 10 m/sec = 10x18/5=36 km/hr
answer :D
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
A.12
B.19
C.72
D.180
Answer: C.72
Explanation: 4C3 * 4C2 * 3C2 = 4*6*3 = 72.
Answer: C
Question: A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
A.4 hours 95 minutes
B.4 hours 49 minutes
C.4 hours 45 minutes
D.4 hours 75 minutes
Answer: C.4 hours 45 minutes
Explanation: Explanation:
Time taken in walking both ways = 7 hours 45 minutes --------(i)
Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)
By equation (ii)*2 -(i), we have
Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes
= 4 hours 45 minutes
Answer: C) 4 hours 45 minutes
Question: The mean of set Y does not exceed mean of any subset of set Y. Which of the following must be true about set Y?
I. Set Y contains only one element
II. All elements in set Y are equal
III. The median of set Y equals the mean of set Y
A.of the three qualities is necessary
B.II only
C.III only
D.II and III only
Answer: D.II and III only
Explanation: The only necessary condition seems to be II.
If all nos are equal.... them mean of any subset is the same.
I is obviously ruled out ( e.g. Y = {1,1,1} )
But III, what about 3?
It is not necessary in itself, rather, is automatically implied by II.
All sets that satsify II satisfy III=D
Question: 2, 1, (1/2), (1/4), ?
A.1/3
B.1/9
C.1/5
D.1/8
Answer: D.1/8
Explanation: D
1/8
This is a simple division series; each number is one-half of the previous number.
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
A.22
B.29
C.20
D.11
Answer: C.20
Explanation: 1/x + 1/(x + 10) = 1/12
x = 20
«1234.Answer:C
Question: Each child has 2 pencils and 13 Skittles. If there are 6 children, how many pencils are there in total?
A.16
B.12
C.18
D.22
Answer: B.12
Explanation: 2*6=12.Answer is B.
Question: An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
A.300
B.400
C.500
D.600
Answer: B.400
Explanation: 130
14
-------
361------ 144
100%------? => 400
ANSWER:B
Question: Marts income is 60 percent more than Tims income and Tims income is 60 percent less than Juans income. What percentage of Juans income is Marts income
A.124%
B.b) 64 %
C.c) 96 %
D.d) 80 %
Answer: B.b) 64 %
Explanation: M = (160/100)T
T = (40/100)J
=> M = (64/100)J
Answer B.
Question: What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
A.1
B.2
C.4
D.7
Answer: C.4
Explanation: 2/9= 0.22222.... ==> 99th digit is 2
3/11 = 0.27272727.... ==> Every odd digit is 2. So, 99th digit will be 2.
2 +2 = 4
ANSWER:C
Question: If A is an even integer and q is an odd integer, which of the following must be an odd integer?
A.A/q
B.Aq
C.2A+q
D.2(A+q)
Answer: C.2A+q
Explanation: this is a must question:
A. A/q
can be a non-integer
B. Aq
always even
C. 2A+q
2A = even -> even+odd = odd
D. 2(A+q)
always even - A+q = odd *2 -> even
E. 3A/q
might be a non integer.
C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
A.16
B.18
C.20
D.24
Answer: D.24
Explanation: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways
4: Or 4p = — 4:- 4X3X2X1- 24 ways
D
Question: The time it took car P to travel 900 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
A.40
B.54
C.62
D.70
Answer: C.62
Explanation: Let speed of car R be=x
Then speed of car P= x+10
A/Q,
(900/x)-(900/(x+10))=2
Solving for x=62 miles\hr.
C
Question: If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
A.10
B.24
C.30
D.36
Answer: A.10
Explanation: Speed = 216 Km/hr => 216,000 m/hr
In one minute => 216000/60 = 3600 meters
In one sec => 3600/60 = 60 meters
Time = Total distance need to be covered / Avg. speed
=> 600/ 60 = 10 and hence the Answer : A
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
Answer: Option B
Question: In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-two students are registered for Math, and thirty-five students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
A.13
B.10
C.9
D.8
Answer: D.8
Explanation: A U B U C = A + B + C - AB-BC-AC + ABC
68 = 25 + 22+ 35 -AB-BC-AC +3 => AB+BC+AC = 17
Exactly Two classes = AB+BC+AC - 3ABC = 17 -3*3 = 8
Hence D
Question: Sum of the squares of three numbers is 579 and the sum of their products taken two at a time is 131. Find the sum?
A.20
B.22
C.25
D.29
Answer: D.29
Explanation: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 579 + 2* 131
a + b + c = √841 = 29
D
Question: If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area?
A.480 cm2
B.765 cm2
C.216 cm2
D.197 cm2
Answer: A.480 cm2
Explanation: The triangle with sides 52 cm, 48 cm and 20 cm is right angled, where the hypotenuse is 52 cm.
Area of the triangle
= 1/2 * 48 * 20
= 480 cm2
Answer: A
Question: If a and b are integer numbers which is greater then one, which of the following CANNOT be the value of ab?
A.9
B.14
C.21
D.23
Answer: D.23
Explanation: 23 is a prime number itself and so cannot be multiple of two prime numbers which is greater then one..
ans D
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
A.2 hours
B.3 hours
C.4 hours
D.5 hours
Answer: C.4 hours
Explanation: Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream =68/17hrs = 4 hrs
Answer: Option C
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
A.No profit, no loss
B.5%
C.8%
D.40%
Answer: D.40%
Explanation: Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 40) Rs. = 2240 Rs.
Profit % = (2240−1600/1600∗100)% = 40%
Answer : D
Question: Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies?
A.36
B.64
C.54
D.55
Answer: B.64
Explanation: T = R
T - 24 ;R + 24
R + 24 = 4 ( T - 24 )
R + 24 =4T - 96
R - 4T = - 120
We knowR = T, so
R - 4T = - 120
Or, R - 4R = -120
Or, - 3R = - 120
Or, R = 40( This is the initital no of Candies Rebecca had)
Candles now she possesses is 40 + 24 = 64
So , Rebecca now has 64 candies.
Answer will be (B) 64
Question: An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 16 coaches are attached.
A.66
B.72
C.80
D.68
Answer: A.66
Explanation: 1.
No. of coaches =4
sqr root=2
speed decreases by 12
12=k*2
k=6
No. of coaches=16
swr root=4
decrease=4*6=24
New speed=90-24=66
A
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *8 + 3 and *8 + 8, inclusive?
A. None
B. One
C. Two
D. Three
Answer: A. None
Explanation: Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *8 would be divisible by all numbers from 1 to 8.
=> *8+3 would give me a number which is a multiple of 3 and therefore divisible (since *8 is divisible by 3)
In fact adding anyprimenumber between 1 to 8 to *8 will definitely be divisible.
So the answer is none (A)!
Supposing if the question had asked for prime numbers between *8 + 3 and *8 + 11 then the answer would be 1. For *8+3 and *8 + 13, it is 2 and so on...
A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
A.Rs. 19
B.Rs. 15
C.Rs. 11
D.Rs. 13
Answer: B.Rs. 15
Explanation: Explanation:
CP of 20 dozen of bananas = 15 * 20 = Rs. 300
Number of bananas which are rotten = 1/4 * 20 = 5 dozen.
SP of two-third of remaining bananas = (2/3 * 15) * 22.5 = Rs. 225
SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.
SP of 1 dozen bananas = 75/5 = Rs. 15.
Answer:B
Question: 3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
A.20 days
B.30 days
C.40 days
D.50 days
Answer: C.40 days
Explanation: Work done by 4 boys and 6 girls in 1 day = 1/8
Work done by 3 boys and 7 girls in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 ---(1)
3m + 7w = 1/10 ---(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 girls can do in a day = 10 × (1/400) = 1/40
Ie, 10 girls can complete the work in 40 days
C
Question: if C is a whole number , C+1 is whole number after that. if A is whole number, what is whole number before that
A.1 whole number
B.-1, not a whole number
C.0 whole number
D.-A whole number
Answer: B.-1, not a whole number
Explanation: natural numbers are 0,1,2,3,4,5,...... are called whole numbers. if A is a whole number and it is greater than 0 the the whole number before that is A-1 which will always be a whole number. which means 0-1= -1, which is not whole number. correct answer (B)
Question: How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
A.72
B.48
C.120
D.96
Answer: A.72
Explanation: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.
ABC three digit numbers greater than 300 - total of 4*5*4=80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.
Between 300 and 330 there are 1*2*4=8 numbers with the given property: A = 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.
Total possible choice 80 - 8 =72=Z
Answer: A.
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A.10 days
B.20 days
C.5 days
D.4 days
Answer: B.20 days
Explanation: Explanation:
C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days
Answer: Option B
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age seven years back was?
A.10 years
B.12 years
C.14 years
D.16 years
Answer: B.12 years
Explanation: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 7) = 12 years.
B
Question: A batsman makes a score of 200 runs in the 17th inning and thus increases his averages by 10 What is his average after 17th inning?
A.39
B.35
C.42
D.40
Answer: D.40
Explanation: let the average after 16th inning =x
then total run after 16th inning=16x
then total run after 17th inning=16x+200
then average run after 17th inning=(16x+200)/17
(16x+200)/17=x+10 = > 16x+200 = 17x+170
x=30;
average after 17th inning =30+10=40
ANSWER:D
Question: Of 30 applicants for a job, 9 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
A.14
B.10
C.9
D.7
Answer: B.10
Explanation: B. 10
30 - 3 = 27
27 - 9 - 18 = -10
Then 5 are in the intersection between 4 years experience and degree.
Answer B
Question: A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
A.3600
B.2992
C.2209
D.2889
Answer: A.3600
Explanation: X * (90/100) * (80/100) * (75/100) = 1944
X * 0.9 * 0.8 * 0.75
X = 1944/0.54
X = 3600
Answer:A
Question: The simple form of the ratio 2/3:2/5 is?
A.5:0
B.5:3
C.5:1
D.5:2
Answer: D.5:2
Explanation: 2/3 : 2/5 = 10:6
= 5:3
Answer: D
Question: In a lottery draw there are 4 jars containing 5 choices with only one choice as the lucky draw. A candidate wins the lottery draw if he/she picks up all the lucky draws from all the jars. What is the total number of ways in which a candidate will not win the lucky draw?
A.19
B.85
C.120
D.624
Answer: D.624
Explanation: A candidate can pick up draws in 5*5*5*5=5^4 number of ways (each jar has 5 draws and we have total of 4 jars). Now, out of these cases there will be only one case when the candidate picked all the four lucky draws. Therefore the total number of ways in which a candidate will NOT win the lottery is 5^4-1=624.
Answer: D.
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
A.11
B.16
C.12
D.18
Answer: C.12
Explanation: x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-2
x = 4
x+2x = 3x
=> 3*4 = 12
Answer: C
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 20% profit on the cost of the item?
A.18
B.21.6
C.22
D.22.5
Answer: D.22.5
Explanation: Producer price = $15;
The distributor wants to maintain a 20% profit on the cost of the item, thus he must get $15*1.2 = $18 after the store takes a commission of 20% of the final price --> (final price)*0.8 = $18 --> (final price) = $22.5.
Answer: D.
Question: P sells an article to Q at 10 % profit. Q sells it to R at 25 % profit. If R pays Rs. 250 for it, What did P pay for it ?
A.Rs. 225
B.Rs. 198.50
C.Rs. 181.81
D.Rs. 162.30
Answer: C.Rs. 181.81
Explanation: Explanation:
Selling price of P = Cost price of Q
Selling Price of Q = Cost price of R = Rs. 250 ….. Given
Q sold it to R with 25 % profit.
Cost price of Q = 100/125 * 250/1 = Rs. 200 = Selling price of P.
P sold it to Q with 10 % profit.
Cost price of P = 100 / 110 * 200 / 1 = Rs. 181.81
ANSWER C
Question: If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. b-a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
A. I only
B. II only
C. I and II only
D. II and III only
Answer: D. II and III only
Explanation: Since a, b, and c are consecutive positive integers and a < b < c, thenb= a + 1, from which it follows that b - a = 1. So, I is false.
Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.
Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is true as well.
Answer: D.
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 58%
A.18.75
B.19.75
C.26.89
D.21.75
Answer: C.26.89
Explanation: 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*58/100=50.40
so x=26.89
ANSWER:C
Question: On the number line, if x is halfway between -6 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y?
A.-2.5
B.-1.5
C.-0.5
D.0.5
Answer: D.0.5
Explanation: x= -1 and y = 2.
The answer is D.
Question: Today is wednesday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
A.SUNDAY
B.MONDAY
C.TUESDAY
D.WEDNESDAY
Answer: A.SUNDAY
Explanation: Today is wednesday
after three days--->saturday
now, (saturday)after before day--->friday
then, (friday)day after tomorrow--->sunday
ANSWER:A
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.45%
B.67%
C.57%
D.69%
Answer: C.57%
Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Question: If n is a prime number greater than 5, what is the remainder when n^2 is divided by 12?
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: There are several algebraic ways to solve this question including the one under the spoiler. But the easiest way is as follows:since we can not have two correct answersjust pick a prime greater than 5, square it and see what would be the remainder upon division of it by 12.
7=5 --> n^2=49 --> remainder upon division 49 by 12 is 1.
Answer: B.
Question: 1, 2, 9, 64, ?
A.388
B.625
C.278
D.277
Answer: B.625
Explanation: ANSWER:B
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A.23 years
B.24 years
C.25 years
D.None of these
Answer: A.23 years
Explanation: Explanation: Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Answer: Option A
Question: Choose a number between 1 and 10. Add 4 and double the result. Subtract 3, then, multiply by 3. Subtract 5 times one more than the original number. Tell me the answer and I will tell you your original number.
A.10x
B.x+10
C.x-10
D.x/10
Answer: B.x+10
Explanation: The calculation described in this problem is 3(2 (4+ x) -3) - 5(x + 1), we can use the Rules to rewrite the expression as follows:
= 3 (2 (4 + x) - 3) - 5(x + 1)
= 3 (8 + 2 x - 3) -5 x - 5
= 3 (2 x + 5) - 5x -5
= 6x + 15 - 5x - 5
= (6 - 5)x + 15 -5
= x + 10
Answer: B
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 5 years old. At what age did the father get married ?
A.23years
B.24years
C.25years
D.26years
Answer: A.23years
Explanation: Explanation:
Ayush's present age = 5 years.
His mother's present age = (5 + 20) years = 25 years.
Ayush's father's present age = (25 + 5) years = 30 years.
Ayush's father's age at the time of Ayush's birth = (30 - 5) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Answer: A) 23 year
Question: Addison High School’s senior class has 160 boys and 200 girls. If 75% of the boys attended the college and 40% of the girls did not attend the college, what percentage of the total class attended college?
A.35
B.64
C.66.67
D.60
Answer: C.66.67
Explanation: Number of boys attending the college : 0.75*160 = 120
number of girls not attending the college: 0.40*200 = 80
number of girls attending the college : 200-80 = 120
Total attending = 120+120 = 240
Total people = 160+200 = 360
% of people attending = 240/360 = 66.67%. C is the correct answer
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.30000?
A.9930
B.1879
C.2779
D.2672
Answer: A.9930
Explanation: A = 30000(11/10)^3
= 39930
= 30000
----------
9930
Answer: A
Question: If 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers?
A.1 minutes
B.12 minute
C.120 minutes
D.10000 minutes
Answer: B.12 minute
Explanation: we can try the logic of time and work,our work is to kill the deers so 12(lions)*12(min)/12(deers)=100(lions)*x(min)/100(deers)hence answer is x=12
ANSWER:B
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 12, 13, 15, 12, 14, 24
II. 42, 52, 62, 72, 82, 92
III. 37, 38, 39, 40, 41, 42
A.I, II, III
B.I, III, II
C.II, I, III
D.III, I,II
Answer: D.III, I,II
Explanation: (D) To answer a question such as this, you DO NOT need to know how to calculate standard deviation. You simply need to understand how to compare standard deviations of different sets. The more spread out the numbers are, the greater the standard deviation will be. Even one or two numbers that are much larger or smaller than the others will cause the standard deviation to rise drastically.
sequence III,I,II
D
Question: 18 men can complete a piece of work in 30 days. In how many days can 15 men complete that piece of work?
A.23 days
B.36 days
C.22 days
D.29 days
Answer: B.36 days
Explanation: B
36 days
18 * 30 = 15 * x => x = 36 days
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
A.2.8
B.2.3
C.2.5
D.2.1
Answer: C.2.5
Explanation: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
Answer: C
Question: Find the probability that a year chosen at random has 53 Mondays.
A.5/28
B.3/28
C.1/28
D.3/28
Answer: A.5/28
Explanation: Explanation :
There are 2 kinds of year
Leap year - probability = 1/4(out of 4 years one is a leap year)
Non leap year - probability = 3/4
So it's either this OR that
Now in non leap year, there are 365 days meaning 52 Weeks with one day extra
That one day can be Monday out of 7 possible days.Hence the probability = 1/7
Similarly in leap year, there are 366 days and so 366/7= 52 Weeks with 2 days Extra
Now probability of occurrence of Monday out of possible 7 days =2/7
So what we essentially want is
(A non leap year AND Monday) OR ( A leap year AND Monday)
So it'll be [3/4*1/7] + [1/4*2/7] = 5/28
Answer : A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120
B.130
C.140
D.149
Answer: A.120
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: Option A