RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A problem is given to 3 students A, B and C whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the chance that the problem is solved.
A.2/3
B.1/2
C.1/4
D.3/4
Answer: D.3/4
Explanation: Explanation :
P(A) = 1/2, P(~A) = 1 - (1/2) = 1/2. [ Prob. of not solving A ]
P(B) = 1/3, P(~B) = 1 - (1/3) = 2/3. [ Prob. of not solving B ]
P(C) = 1/4, P(~C) = 1 - (1/4) = 3/4. [ Prob. of not solving C ]
The problem is solved means atleast one of A,B and C will solve the problem.
Whenever 'at least one' is present it is easier to do the problem by using the complement of the event (opposite of the event i.e problem not solved )
P (problem is not solved)
= P(~A~B~C)
= P(~A) x P(~B) x P(~C).
= (1/2) x (2/3) x (3/4).
= 1/4.
P (problem is solved i.e atleast one solves)
= 1 - P(~A~B~C).
= 1 - (1/4).
= 3/4.
Answer : D
Question: In one hour a boat goes 6 km/hr along the stream and 14 km/hr against the stream. The speed of the boat in still water(in km/hr) is?
A.20 km/hr
B.10 km/hr
C.15 km/hr
D.30 km/hr
Answer: B.10 km/hr
Explanation: Explanation:
Speed of boat in still water = 1/2 (Speed downstream + speed up stream)
= 1/2 (6 + 14) = 1/2 x 20
= 10 km/hr
Answer: Option B
Question: A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?
A.8 days
B.10 days
C.12 days
D.14 days
Answer: A.8 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.
A)
Question: Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of
A, B, C and D is
A.90
B.98
C.120
D.Data is not adequate
Answer: D.Data is not adequate
Explanation: Answer: Option D
Question: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
A.135 km
B.125 km
C.115 km
D.105 km
Answer: A.135 km
Explanation: 10 m/s = 10 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 10 * 18/5 * 15/4 km = 135 km.
ANSWER:A
Question: In a group of ducks and cows, the total number of legs are 30 more than twice the no. of heads. Find the total no.of buffaloes.
A.11
B.12
C.14
D.15
Answer: D.15
Explanation: Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 30
=> 2x = 30 => x = 15
D
Question: There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible?
A.60
B.120
C.200
D.210
Answer: D.210
Explanation: 6 points can be selected out of 10 points in 10C6 ways
=10 !/6!*4!=210
Ans D
Question: One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 4 robots altogether, if the robots build only one robot at a time?
A.70 min
B.94 min
C.110 min
D.112 min
Answer: A.70 min
Explanation: First the 2 robots work at the rate of
1 + 1/2 = 3/2
so they complete one robot in 2/3 rd of an hour = 40 minutes - (1)
Now the 3 robots work together at the rate of
1 + 1/2 + 1/2 = 4/2 = 2/1
so they complete one robot in 1/2 an hour,i.e 30 minutes - (2)
And now we have 4 robots
So Total = (1) + (2) = 70 minutes
Answer - A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 73%?
M13-03.
A.N−35
B.N+72
C.2N+70
D.2N+74
Answer: D.2N+74
Explanation: Say N=1.
So, after 1 test John has 70 correct answers.
In 2 tests, so in 200 questions he needs to have 0.73*200=146 correct answers, so in the second test he must get 146-70=76 questions correctly.
Now, plug N=1 into the answer choices to see which one yields 76. Only option D fits.
Answer: D.
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5760. What is the average monthly balance maintained by John in his
account during the year?
A. 2840
B. 28800
C. 6840
D. 7540
Answer: B. 28800
Explanation: bank balance is doubled with accumulation of interest tp 5760..
this means INTEREST is 5760/2=2880 for entire year..
although since interest is 10% of avg MONthly balance, it becomes 28800..
B
Question: A Cuban cigar would cost 4 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
A.11.8$.
B.23$.
C.13.7$.
D.35$.
Answer: C.13.7$.
Explanation: The three cigars together cost 74.7 dollars. If each cost the same , they would have cost a little less than 25 dollars each.
From the given data we know French cigar < Cuban cigar < Arabic cigar
and each is more expensive 1.5 times. Therefore eliminate options A,D,E straightaway . Since French cigar is at least 1.5 times cheaper we know B cannot be the answer.
Therefore C is the answer.
Question: Set Q consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set Q, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
A.-2
B.-1
C.0
D.1
Answer: C.0
Explanation: A = {3,-8,Y,19,-6}
B = {k,-3,0,16,-5,9}
Y > 21
So L = Median of Q = 3
M = Mode of Set B
Z = (3)^M
If Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor
=> M = 0
Hence k = 0, as M is mode and 0 will be the most frequently occuring number in set B.
Answer - C
Question: Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many hours Q will it take if Jim types the report and Mary edits it immediately after he is done?
A.41.4
B.34.1
C.13.4
D.12.4
Answer: A.41.4
Explanation: Break down the problem into two pieces: typing and editing.
Mary needs 30 hours to type the report--> Mary's typing rate = 1/30 (rate reciprocal of time)(point 1 in theory below);
Mary and Jim can type up a report in 12.5and --> 1/30+1/x=1/12.5=2/25 (where x is the time needed for Jim to type the report alone)(point 23 in theory below)--> x=150/7;
Jim needs 12 hours to edit the report--> Jim's editing rate = 1/12;
Mary and Jim can edit a report in 7.5and --> 1/y+1/12=1/7.5=2/15 (where y is the time needed for Mary to edit the report alone) --> y=20;
How many Q hours will it take if Jim types the report and Mary edits it immediately after he is done--> x+y=150/7+20=~41.4
Answer: A.
Question: 10(150) ÷ 10(146) = ?
A.10(6)
B.100000
C.1000
D.10000
Answer: D.10000
Explanation: 10(150) ÷ 10(146) = ?
or ? = 10(150)/10(146)=10(150−146)
i.e, [m(x)/m(y)=m(x−y)]
= 10(4) = 10000
Answer D
Question: P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
A.2388
B.3722
C.2400
D.2872
Answer: C.2400
Explanation: Explanation:
Let the amount with R be Rs.r
r = 2/3 (total amount with P and Q)
r = 2/3(6000 - r) => 3r = 12000 - 2r
=> 5r = 12000 => r = 2400.
Answer: C
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.2/7
B.1/7
C.6/8
D.1/4
Answer: B.1/7
Explanation: Explanation:
Original share of 1 person =1/8
New share of 1 person =1/7
Increase =(1/7-1/8)=1/56
Required fraction =(1/56)/(1/8)=(1/56*8/1)=1/7
Answer:B
Question: A 180 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
A.54 kmph
B.108 kmph
C.176 kmph
D.134 kmph
Answer: A.54 kmph
Explanation: S = 180/12 * 18/5
= 54 kmph
Answer: A
Question: A number is doubled and 8 is added. If the resultant is trebled, it becomes 84. What is that number?
A.10
B.6
C.8
D.None of these
Answer: A.10
Explanation: Solution
Let the number be x.
Then, 3(2x + 8)	‹=› 84
‹=› 2x+8 = 28
‹=› 2x= 20
x= 10.
Answer A
Question: If the height of a cone is increased by 100% then its volume is increased by?
A.100
B.777
C.998
D.729
Answer: A.100
Explanation: 100%
Answer:A
Question: How many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both?
A.13
B.19
C.15
D.16
Answer: B.19
Explanation: for 13: 13...117=13*9 = 117
for 12: 12...120=12*10 =120
but there is one integer 13*12. so
N=(9)+(10)=19
B
Question: A survey was sent to 75 customers, 7 of whom responded. Then the survey was redesigned and sent to another 60 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
A.2%
B.5%
C.14%
D.60%
Answer: D.60%
Explanation: Rate of first survey = 7/75
Rate of second survey = 9/60
% Response rate increase (9/60-7/75)/(7/75) = 60%
Answer is D = 60%
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
A.1/125
B.1/59
C.1/56
D.1/54
Answer: A.1/125
Explanation: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 20/100 = 1/5
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/5) = 1/125
Answer: A
Question: If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number?
A.601
B.238
C.293
D.298
Answer: A.601
Explanation: If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways.
If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.
If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.
The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.
Answer: A
Question: In a certain parking lot, 5% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
A.20%
B.25%
C.30%
D.35%
Answer: B.25%
Explanation: Let x be the number of cars and let y be the number of cars parked illegally.
5%*x = 20%*y
y/x = 1/4 = 25%
The answer is B.
Question: In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
A.4!*3!
B.3!*8!*4!*4!
C.3!*8!
D.5!*3!
Answer: B.3!*8!*4!*4!
Explanation: Taking all person of same nationality as one person, then we will have only three people.
These three person can be arranged themselves in 3! Ways.
8 Indians can be arranged themselves in 8! Way.
4 American can be arranged themselves in 4! Ways.
4 Englishman can be arranged themselves in 4! Ways.
Hence, required number of ways = 3!*8!*4!*4! Ways.
Ans: B
Question: How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
A.6
B.9
C.8
D.12
Answer: C.8
Explanation: C
8
112 pairs of shoes = 224 shoes.
= 224 ÷ 28
= 8.
Question: 4,7,11,18,29,47,...?..,123,199
A.84
B.102
C.76
D.70
Answer: C.76
Explanation: the addition of difference between each no. is equal to latter no.
so, difference between 47 and 76 is 29 which is previous no. of 47
answer C
Question: We invested a total of $1,000. We invested one part of the money at 5% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,054.50. How much money did we invest at 5%?
A.$400
B.$450
C.$500
D.$550
Answer: D.$550
Explanation: Let x be the money invested at 5%.
1.05x+1.06(1000-x)=1054.50.
0.01x=1060-1054.50.
0.01x=5.50.
x=550.
The answer is D.
Question: James 5 days earnings are {500, 650, 750, 800, 850 }, how much less is the mean of the earnings of James than the median of the earnings of James?
A.50
B.55
C.60
D.40
Answer: D.40
Explanation: This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median
Coming to this question,
Mean = (500+ 650+ 750+ 800+ 850 )/5 = 710
Median = 750
Difference = 40
Option D
Question: Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 100 different possibilities,what is the probability that she does not pick the one correct combination.
A.1
B.159/160
C.0.975
D.0.775
Answer: C.0.975
Explanation: If Denise does not pick the correct combination in first 100 try, then the correct combination is one of remaining 3900. So Probability = 3900/4000 = 0.975.
answer is C.
Question: How many multiples of 6 are less than 3600, and also multiples of 36?
A.94
B.100
C.625
D.832
Answer: B.100
Explanation: The LCM of 6 and 36 is 36. Divide 3600/36 = 100.xxx. So B is your answer.
Question: A can finish a work in 12days and B can do the same work in half the time taken by A. Then, working together what part of the same work they can finish in a day?
A.1/2
B.1/3
C.2/5
D.1/4
Answer: D.1/4
Explanation: 1days work of A+B = (12+6)/12*6 = 1/4
Answer is D
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 40% are drinking beer, 30% are drinking mixed drinks, and 30% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
A.2/5
B.4/7
C.12/17
D.7/24
Answer: C.12/17
Explanation: Suppose there are 100 students
Group A : 40% = 40 students
40% drink beer = 16
30% mixed = 12
30% both = 12
Group B 60% = 60
30% beer= 18
30% mixed = 18
20% both= 12
now we need both ( beer + mixed = both)
probability = total beer drinker = 16+18 =34 and both = 20
thus 24/34 = 12/17
Hence C
Question: V and B are integers. The expression (V+1)(B+1) is even. What can be said about V and B?
A.They are both even numbers.
B.At least one of them is even.
C.At least one of them is odd.
D.They are both odd.
Answer: C.At least one of them is odd.
Explanation: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (V+1) or (B+1) needs to be Even
So either V or B needs to be odd
Or At least one of them is odd.
At least one of them is odd=C
Question: A certain company charges $10 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $10 plus $3 per pound. If the company charged $31 to ship a certain package, which of the following was the weight of the package, in pounds?
A.8
B.5
C.7
D.4
Answer: C.7
Explanation: Let the weight of the package be X. Then the cost is 3*X + 10= 31 ---> 3X=21 ---> X=7
Answer : C
Question: A mother said to her daughter, “I was as old as you are at now at the date of your birth.” If the mother’s age is 38 years now, the daughter’s age 5 years back was?
A.16 years
B.19 years
C.24 years
D.14 years
Answer: D.14 years
Explanation: D
14 years
Daughter’s current age = A years
Then, (38 – A) = A
2A = 38
A = 19 years
Daughter’s age Five years back = (19 – 5) years
= 14 years
Question: In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who
speak both the languages?
A.A)8
B.B)10
C.C)20
D.D)30
Answer: C.C)20
Explanation: let the student who speaks hindi-x
let the student who speaks english-y
as (xuy)-(xny)=total
50+70-(xny)=100
=20
C)
Question: In an electric circuit, two resistors with resistances M and N are connected in parallel. In this case, if P is the combined resistance of these two resistors, then the reciprocal of P is equal to the sum of the reciprocals of M and N. What is P in terms of M and N?
A.(N-M)
B.MN/(M + N)
C.(NM)
D.(N-M)/(M+N)
Answer: B.MN/(M + N)
Explanation: The wording is a bit confusing, though basically we are told that 1/P= 1/M + 1/N, from which it follows that P=MN/(M + N).
Answer: B
Question: A batsman in his 10th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’.
A.47
B.53
C.39
D.43
Answer: B.53
Explanation: Average score before 10th innings
= 85 - 3 × 10= 50
Average score after 10th innings
=> 50+ 3 = 53
ANSWER:B
Question: The sum of two numbers is 20 and their difference is 10. Find their product.
A.104
B.114
C.75
D.325
Answer: C.75
Explanation: Let the numbers be x and y.
Then x + y = 20 and x - y = 10
x = 15; y = 5
xy = 15 * 5 = 75
ANSWER: C
Question: Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer?
A.40
B.50
C.60
D.70
Answer: C.60
Explanation: Total people at party=150
Women=70
so Men 150-70=80
No. of pple who tried appetizer=150-60 (given info)=90
No of women who tried appetizer=30
So Remaining ppl(men) who tried the appetizer =90-30=60
Correct Option C
Question: In the city of San Durango, 40 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three?
A.5
B.7
C.9
D.11
Answer: A.5
Explanation: Total = C + D + R - (CD + DR + CR) - 2CDR
40 = 20 + 30 + 10 - (10) - 2x
x = 5
So, answer will be A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they selected that at least one boy should be there?
A.123
B.253
C.209
D.124
Answer: C.209
Explanation: We may have( 1 black and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4boys)
=(6c1 x 4c3)+(6c2 x 4c2)+(6c3 x 4c1)+6c4
=24+90+80+15
=209
ANS: C
Question: Rounded to three decimal places, 1.006^4 =
A.1.024
B.1.006
C.1.008
D.1.012
Answer: A.1.024
Explanation: As compared to 1, 0.006 is a very small quantity. Thus, we can write (1+0.006)^4 is nearly equal to (1+4*0.006) = 1.024.As the question asks for approximation to three decimal places, the further terms will anyways not come into picture.
A.
Question: The least number which when add 3 to it, completely divided 8, 12 and 18 is?
A.71
B.70
C.69
D.68
Answer: C.69
Explanation: LCM = 72
72 - 3 = 69
ANSWER:C
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
A.76 hrs
B.99 hrs
C.55 hrs
D.90 hrs
Answer: D.90 hrs
Explanation: 1/9 - 1/x = 1/10
=> 90 hrs
Answer: D
Question: A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 48 lots are to have 100 feet of frontage each, what is the value of x ?
A.5,280
B.3,200
C.3,700
D.4,400
Answer: A.5,280
Explanation: Total number of plots,be T
Plots with 80ft is (1/9)th of total plots.
Plots with 100ft frontage = (8/9) X total number of plots
i.e 8/9 X T = 48 T = 54
Total lake frontage = 48X100 + 6X80 = 5280
Answer : A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.299
B.277
C.276
D.270
Answer: D.270
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: D
Question: The ratio between the speeds of two trains is 3 : 8. If the second train runs 600 kms in 6 hours, then the speed of the first train is
A.37.5 km/h
B.60.5 km/h
C.42.5 km/h
D.32.5 km/h
Answer: A.37.5 km/h
Explanation: A
37.5 km/h
Question: How many prime numbers exist in 67 x 353 x 1110 ?
A.30 prime number
B.29 prime number
C.27 prime number
D.31 prime number
Answer: A.30 prime number
Explanation: Solution:
=(2 x 3)7 x (5 x 7)3 x 1110
=27 x 37 x 53 x 73 x 1110
Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number
ANSWER:A
Question: A car owner buys petrol at 7.50, 8.00 and 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends 4000 each year?
A.8
B.9
C.7.98
D.7.98
Answer: C.7.98
Explanation: Let average cost of petrol per litre be x
Then x = 12000 /4000/7.5+4000/8+4000/8.5
= 3 /2/15+1/8+2/17=6120/767= Rs. 7.98 per litre
Answer C
Question: What least number should be added to 1022, so that the sum is completely divisible by 25?
A.4
B.3
C.2
D.0
Answer: B.3
Explanation: 1022 Ã· 25 = 40 with remainder = 22
22 + 3 = 25.
Hence 3 should be added to 1022 so that the sum will be divisible by 25
Answer: Option B
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 2% per annum simple interest?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: 2500 = D(100/2)2
D = 1
Answer: A
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 9
A.1/2
B.7/18
C.5/13
D.5/12
Answer: B.7/18
Explanation: Total number of cases = 8*8 = 64
Favourable cases = [(2,8),(3,6),(3,7),(4,6),(4,7),(4,8),(5,5),(5,6),(5,7),(5,8),(6,4),(6,5),(6,6),(6,7),(6,8),(7,3),(7,4),(7,5),(7,6),(7,7),(7,8),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(8,8)] = 28
So Probability = 28/64 = 7/18
Answer is B
Question: If 'x' is a positive integer exactly divisible by 6 or 15 but not divisible by 12.What could possibly be the value of 'x' ?
A.120
B.60
C.36
D.90
Answer: D.90
Explanation: 120 and 60 are both divisible by 6 and 15 but also by 12. so they are not the right answer.
36 and 54 are both clearly not divisible by 15(not correct)
90 is both divisible by 6 and 15 but not by 12.
answer : (D) 90
Question: The ration between the present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?
A.2:3
B.7:8
C.11:13
D.9:13
Answer: B.7:8
Explanation: Let P's and Q's age be 6x and 7x
7x-6x = 4
x = 4
Required ratio = (6x+4):(7x+4) = 28:32 = 7:8
Answer is B
Question: How many R ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
A.120
B.240
C.360
D.540
Answer: B.240
Explanation: Jason can select his seat in 2 Ways (two aisles)
His 1st of 4 friends have 5 seats to select =>
His 2nd of remaining 3 friends will have 4 seat to chose from...and so on
Total ways R=> 2*5*4*3*2*1 = 240.B
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
A.Rs. 8400
B.Rs. 8721
C.Rs. 8856
D.Rs. 9000
Answer: B.Rs. 8721
Explanation: Explanation:
Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.
ANSWER IS B
Question: If s is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
A.1
B.2
C.3
D.6
Answer: C.3
Explanation: Then the wordings of question are misleading. Moreover, it'd also be a bad way to convey s=4n, if it really wanted to convey so.
From other questions that I have seen, proper wordings could be:
If s is three times as large as n
OR simply,
If s is three times n.C