RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability E that the worker is under 25 years old?
A. 0.30
B. 0.25
C. 0.45
D. 0.70
Answer: D. 0.70
Explanation: Percentage of male worker = 48
Percentage of female worker = 52
Let total number of workers = 1000
number of male workers= 480
number of female workers = 520
Number of male age 25 or older = (4/10)*480 = 192
Number of female age 25 or older =(2/10)*520 = 104
Total number of workers 25 or older = 192+104 = 296
Total number of workers under 25 = 1000 - 296 = 704
Probability that a worker randomly selected is under 25 years old = 704/1000 = .704
Alternatively , since the answer options are not close , we can use estimation here .
Percentage of male worker 25 or older = (4/10)*48 = 20 % approx
Percentage of female worker 25 or older = (2/10)*52 = 10 % approx
Percentage of total worker 25 or older = 30 %
Percentage of total worker under 25 = 70 %
Probability that a worker randomly selected is under 25 years old E= .7
Answer D
Question: When you multiply a number by 4 and
then subtract 3, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 9. What
is the number?
A.A)23
B.B)13
C.C)19
D.D)12
Answer: D.D)12
Explanation: Let x equal the number and then change the words into an equation and solve for x:
4x – 3 = 9(x – 7)
4x – 3 = 9x – 63
60 = 5x
12 = x
correct answer D)12
Question: One half of the workers at the biscuit company is technician,quarter is clerk,one-fifth are administrative and the other 25 are supervisors. How many workers total are there in the biscuit company?
A.250
B.366
C.400
D.500
Answer: D.500
Explanation: 1/2x + 1/4x +1/5x = 19/20x
Remaining 1/20 x= 25
x= 25*20= 500
D is the answer.
Question: In Chess game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
A.1/3
B.4/9
C.5/9
D.2/3
Answer: C.5/9
Explanation: In Chess game,Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.
Answer: C.
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
A.22
B.88
C.10
D.99
Answer: C.10
Explanation: 400 --- 31
400 --- 3
120 --- ?
400*3 = 120*x => x =10 days
Answer: C
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
A.16
B.17
C.12
D.18
Answer: C.12
Explanation: T = 9/45 * 60
= 12
Answer: C
Question: The instructions state that Cheryl needs 2 square yards of one type of material and 1/2 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 5/10 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
A.1/12
B.1/9
C.2
D.1 1/9
Answer: C.2
Explanation: total bought = 2+1/2
left part 5/10--->1/2
so used part 2+1/2-1/2=2
Ans C
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
A.2888
B.2885
C.2880
D.2876
Answer: C.2880
Explanation: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.
Required number of arrangements = 4! * 5! = 24 * 120 = 2880.
Answer:C
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
A.Rs. 1500
B.Rs. 1800
C.Rs. 2000
D.Rs. 2400
Answer: C.Rs. 2000
Explanation: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130 = 130 - 26 = Rs. 104.
In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40.
But present price of the article is Rs. 2288
for 114.4 ---> 100 ; 2288 ---> ?
Required price = (2288 * 100)/114.4 = 20 * 100 = Rs. 2000.
ANSWER:C
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A.12 days
B.15 days
C.16 days
D.18 days
Answer: B.15 days
Explanation: Explanation:
A's 2 day's work =(1/20 x 2)=1/10
(A + B + C)'s 1 day's work =(1/20 +1/30+1/60)=6/60=1/10
Work done in 3 days =(1/10 +1/10)=1/5
Now,	1/5work is done in 3 days
Whole work will be done in (3 x 5) = 15 days.
ANSWER IS B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 18 as remainder
A.1235
B.1346
C.1378
D.1634.4
Answer: D.1634.4
Explanation: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 18
5x = 1347
x = 269.4 number = 269.4+1365 = 1634.4
D
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 154 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
A.1232
B.1723
C.1129
D.2613
Answer: A.1232
Explanation: A
B has 62.5% or (5/8) of the milk in A. Therefore, let the quantity of milk in container A(initially) be 8k.
Quantity of milk in B = 8k - 5k = 3k.
Quantity of milk in container C = 8k - 3k = 5k
Container: A B C
Quantity of milk: 8k 3k 5k
It is given that if 154 liters was transferred from container C to container B, then both the containers would have equal quantities of milk.
5k - 154= 3k + 154 => 2k = 308 => k = 154
The initial quantity of milk in A = 8k = 8 * 154 = 1232 liters.
Question: What least number must be subtracted from 7538 so that remaining no.is divisible by 14
A.3
B.5
C.6
D.8
Answer: C.6
Explanation: Explanation:
On dividing 7538 by 14 we get the remainder 6, so 6 should be subtracted
Option C
Question: A is 2 times as fast as B. A alone can do the work in 20 days. If A and B working together in how many days will the work be completed?
A.23
B.13
C.21
D.24
Answer: B.13
Explanation: A can finish 1 work in 20 days
B can finish 1/2 work in 20 days - since A is 2 faster than B
This means
B can finish 1 work in 20*2 days = 40 days
Now using the awesome GMAT formula when two machines work together they can finish the job in = AB/ (A+B) = 20*40/(20+40) = 13 days
So answer is B
Question: What is the difference between the place value and face value of 1 in the numeral 54315?
A.9
B.11
C.5
D.1
Answer: A.9
Explanation: Difference between the place value and face value of 1 = 10-1 = 9
Answer is A
Question: There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36. The larger of the two is
A.6
B.9
C.12
D.15
Answer: B.9
Explanation: Sol.
Let the numbers be x and y.
Then, 2x + 3y = 39 ................(i)
3x + 2y = 36 .................(ii)
On solving (i) and (ii), we get : x = 6 and y = 9.
∴ Larger number = 9.
Answer B
Question: If (3^4)(5^6)(7^3) = (35^n)(x), where x and n are both positive integers, how many different possible values of n are there?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Notice that the power of 7 in LHS is limiting the value of n, thus n cannot be more than 3 and since n is a positive integer, then n could be 1, 2, or 3.
Answer: C.
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
A.1211
B.1218
C.1210
D.1212
Answer: C.1210
Explanation: π (232 – 122)
= 1210
Answer: C
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
A.1267
B.2876
C.1865
D.2506
Answer: D.2506
Explanation: Explanation:
358/179 â€¦.. 895/179
179(2 + 3 + 4 + 5) => 2506
Answer:D
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
A.42,30
B.42,31
C.42,32
D.42,33
Answer: D.42,33
Explanation: Explanation:
Let their marks be (x+9) and x.
Then, x+9 = 56/100(x + 9 +x)
=> 25(x+9)
=> 14 (2x + 9)
=> 3x = 99
=> x = 33.
So, their marks are 42 and 33
Option D
Question: Find the value of 72519 x 9999 = y?
A.354517481
B.457687783
C.246567689
D.725117481
Answer: D.725117481
Explanation: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Question: In a survey of parents, exactly 9/10 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
A.27%
B.21%
C.19%
D.18%
Answer: C.19%
Explanation: Fathers without full-time jobs are 1/4*3/5 = 3/20 of all the parents surveyed.
Mothers without full-time jobs are 1/10*2/5 = 2/50 of all the parents surveyed.
The percent of parents without full-time jobs is 3/20 + 2/50 = 19/100 = 19%
The answer is C.
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 20 m wide at the top and 12 m wide at the bottom and the area of cross-section is 800 sq m, the depth of cannel is?
A.76
B.50
C.27
D.80
Answer: B.50
Explanation: 1/2 * d (20 + 12) = 800
d = 50
Answer: B
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
A.35
B.37
C.39
D.41
Answer: C.39
Explanation: Explanation:
Let B's age = x years.
Then, As age = (x+ 9) years.
(x+9+10)=2(x�10)
hence x=39.
Present age of B = 39 years
Answer: Option C
Question: Three pipes A, B and C can fill a tank in 5 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 6 hours. How many hours will take C alone to fill the tank?
A.8
B.10
C.12
D.14
Answer: B.10
Explanation: The rate of A+B+C is 1/5 of the tank per hour.
After 2 hours, the tank is 2/5 full.
The rate of A+B is 3/5 * 1/6 = 1/10 of a tank per hour.
The rate of C is 1/5 - 1/10 = 1/10
C can fill the tank in 10 hours.
The answer is B.
Question: The ratio of 2 numbers is 2:3 and their H.C.F. is 10. Their L.C.M. is ?
A.30
B.60
C.20
D.10
Answer: B.60
Explanation: Let the numbers be 2x and 3x
Their H.C.F. = 10
so the numbers are 2*10 , 3*10 = 20,30
L.C.M. = 60
Answer is B
Question: Truck X is 14 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 57 miles per hour and Truck Y is traveling at an average speed of 63 miles per hour, how long will it take Truck Y to overtake and drive 4 miles ahead of Truck X?
A.5 hours
B.3 hours 20 minutes
C.3 hours
D.2 hours 45 minutes
Answer: C.3 hours
Explanation: Relative speed = 63-57 = 6 miles per hour
Dist required = 14+4 = 18 miles
Time taken to overtake = 18/6 = 3 hours. C is the answer.
Question: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
A.64
B.36
C.52
D.86
Answer: A.64
Explanation: We may have (1 black and 2 non black) or (2 black and 1 non black) or (3 black)
Required number of ways = 3C1*6C2+3C2*6C1+3C3 = 64
Answer is A
Question: 9 points are marked on a straight line and another 10 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
A.91
B.105
C.196
D.27
Answer: D.27
Explanation: assuming that the top line can have either 2 points or 1 point...
9! / 1!8! - 9! / 2! 7! yields 27.
D
Question: Sandy can do a job in 6 days and Molly can do the same job in 12 days. If they work together, in how many days will they complete the job?
A.4 days
B.6 days
C.8 days
D.2 days
Answer: A.4 days
Explanation: Sandy can do 1/6 of the job each day.
Molly can do 1/12 of the job each day.
The combined rate is 1/6 + 1/12 = 1/4 of the job each day.
The job will take 4 days.
The answer is A.
Question: If each edge of cube increased by 15%, the percentage increase in
A.30.25
B.32.25
C.38.25
D.37.25
Answer: B.32.25
Explanation: 100 × (115)/100 × (115)/100 = 132.25 => 32.25%
Answer is B.
Question: What will be the compound interest on a sum of Rs. 21,000 after 3 years at the rate of 12% p.a.?
A.Rs. 8503.49
B.Rs. 9720
C.Rs. 10123.20
D.Rs. 10483.20
Answer: A.Rs. 8503.49
Explanation: Amount = [21000 * (1 + 12/100)3]
= 21000 * 28/25 * 28/25 * 28/25 = Rs. 29503.49
C.I. = (29503.49 - 21000) = Rs. 8503.49
ANSWER:A
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
A.10
B.12
C.14
D.16
Answer: C.14
Explanation: Part filled in 2 hours = 2/6 = 1/3.
Remaining part = 1 - 1/3 = 2/3
(A + B)'s 1 hour work = 2/21
C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]
= (1/6 - 2/21) = 1/14
C alone can fill the tank in 14 hours.
ANSWER:C
Question: Which of these expressions has the greatest value?
A.1673211/1663212
B.1356741/1356745
C.1245671/1245675
D.1124471/1124476
Answer: A.1673211/1663212
Explanation: Using elimination method on options
1673211/1663212 = 1.00601186139...
ANSWER:A
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 45 seconds. What is the length of each train (in meters)?
A.48.5
B.62.5
C.73.5
D.87.5
Answer: B.62.5
Explanation: The relative speed = 46 - 36 = 10 km/hr = 10 * 5/18 = 25/9 m/s
In 45 seconds, the relative difference in distance traveled is 45 * 25/9 = 125 meters
This distance is twice the length of each train.
The length of each train is 125/2 = 62.5 meters
The answer is B.
Question: . Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a?
A.Rs.228
B.Rs.229
C.Rs.220
D.Rs.200
Answer: D.Rs.200
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800
= Rs.200
As this is positive, an overall profit of Rs. 200 was made.
Answer:D
Question: A train is moving at a speed of 100 km/hour. The length of the train is 100 metre. In how much time will it cross a pole?
A.1 second
B.2.5 second
C.4 second
D.3.6 second
Answer: D.3.6 second
Explanation: In order to cross the pole, the train will need to cover its own length of 100 meter. To cover 100x1000 meter, train takes 60 minutes or 60 x 60 = 3600 second. So, to cover 100 meter, train would take 3600 x 100 / 100 x 1000 = 3.6 second.
Answer: D.
Question: If 4x+y=40, 2x-y=20, for integers of x and y, y^2=?
A.2
B.4
C.0
D.10
Answer: C.0
Explanation: 4x+y = 40
2x-y = 20
6x = 60
x = 10
y = 0
y^2 = 0
Answer is C
Question: The difference between a number and its two-fifth is 510. What is 20% of that number?
A.177
B.170
C.172
D.174
Answer: B.170
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
20% of 850 = 170.
Answer:B
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
A.22
B.66
C.28
D.41
Answer: D.41
Explanation: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41.
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is?
A.4:5
B.4:2
C.4:4
D.4:8
Answer: B.4:2
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √4
= 4:2
Answer: B
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
A.7787
B.8000
C.1988
D.1277
Answer: B.8000
Explanation: x*110/100 * 90/100 = 7920
X*0.99=7920
X=7920/0.99
=> 8000
Answer:B
Question: At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.6 minutes per mile and then turn around and drive at 0.6 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
A.a) 10
B.b) 11
C.c) 55/3
D.d) 13
Answer: C.c) 55/3
Explanation: 0.8 minutes --> 1 mile
1 minute --> 1/0.6 = 10/6 = 5/3 miles/minute
Distance covered in 40 minutes = 5/3 * 40 = 200/3 miles
Distance covered in the current direction = Distance covered from the opposite direction (since car returns back to starting point)
Let x be the miles driven before turning
30 + x = 200/3 - x
2x = 200/3 -30
x = 55/3
Answer: C
Question: In a certain sequence of 9 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
A.None
B.One
C.Two
D.Three
Answer: D.Three
Explanation: Non - Negative ( zero to positive infinity )
Solution to the question :
-5,-4,-3,-2,-1,0 , 1,2,3
Hence ans is 3 ..option D
Question: The area of square ABCD above is 18. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
A.18−9/4∗π
B.18−9/2∗π
C.9+9/4∗π
D.9+9/2∗π
Answer: B.18−9/2∗π
Explanation: =Square - Quarter circle
=18- pi*18/4
=18- pi*9/2
ANSWER:B
Question: P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
A.$5
B.$10
C.$15
D.$20
Answer: A.$5
Explanation: Let Q's hourly wage be x, then P's hourly wage is 1.5x
Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.
Since they both are paid an equal total amount of $300:
x*T=1.5x*(T-10)
T = 30 hours and Q's hourly wage is 300/30 = $10
P's hourly wage is 300/(T-10) = $15 which is $5 per hour more.
The answer is A.
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 50 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
A.A)0.9
B.B)0.6
C.C)0.45
D.D)0.3
Answer: B.B)0.6
Explanation: Percent of students who are 25 years old or older is 0.5*48+0.2*52=~34, so percent of people who are less than 25 years old is 100-3=66.
Answer: B.
Question: How many numbers from 29 to 79 are exactly divisible by 11
A.5
B.7
C.8
D.9
Answer: A.5
Explanation: 29/11 = 2 and 79/11 = 7 ==> 7 - 2 = 5 Numbers
Option 'A'
Question: What is the sum of the odd integers from 35 to 55, inclusive?
A.495
B.550
C.555
D.600
Answer: A.495
Explanation: The mean is 45.
Sum=Mean(# of elements)
There are 11 odd numbers between 35-55 inclusive. 11*45=495
A
Question: The average of five results is 46 and that of the first four is 40. The fifth result is?
A.50
B.88
C.70
D.66
Answer: C.70
Explanation: 5 * 46 â€“ 4 * 40
= 70
Answer: C
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams W?
A.W=16
B.W=32
C.64
D.128
Answer: B.W=32
Explanation: Weight directly proportional to 4 pi r^2
Now, 4pi is constant, so, weight is directly proportional to r^2.
When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;
(0.15)^2 * 4 proportional to 8*4, solving further
(0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (B)
Question: A photo-mat shop charges $0.50 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
A.4 films and 12 photos
B.5 films and 6 photos
C.5 films and 14 photos
D.6 films and 4 photos
Answer: C.5 films and 14 photos
Explanation: 1st photo = 0.55
Subsequent = 0.50*0.6=0.30
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*4=48.4
52.58-48.4=4.18
4.18=0.55+0.33x
x=11
52.58--->5 full films and 1+11=14 photos
Answer: C
Question: Positive integer e is divisible by 3. What is the remainder of dividing (4+2e)-e(1+1) by 3?
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: When we solve the following equations: 10-6 (e=3) or 22-18 (e=9) we end up with 4. Since 4 divided by 3 leaves a remainder of 1 the correct answer is B.
Question: A car is traveling 60 kilometers per hour. How many meters does the car travel in one minute?
A.1250m/min
B.1360m/min
C.1000m/min
D.1670m/min
Answer: C.1000m/min
Explanation: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify
60 kilometers per hour = 60 km/hr
= (60 × 1000 meters) / (60 minutes) = 1,000 meters / minute
correct answer is C)1000m/min
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
A.Rs. 4000
B.Rs. 4056
C.Rs. 5000
D.Rs. 5050
Answer: B.Rs. 4056
Explanation: Sol. Share of B + C = -3 x (5 + 8) = Rs. 4056
B
Question: find the ratio of 9th and 7th term of sequence 3.1, 5.6, 8.1, .....?
A.101/91
B.181/61
C.247/194
D.231/181
Answer: D.231/181
Explanation: common difference = d = 5.6 - 3.1 = 2.5 ,, n = 9, a = first term = 3.1-----
By using arithmetic progression , t9 = a + (n-1)*d = 3.1 + (9-1)*2.5 = 3.1+20 = 23.1
Also 7th term , t7 = a + (n-1)*d = 3.1 + (7-1) * 2.5 = 18.1
Ratio = t9/t7 = 23.1/18.1
=231/181 ..... Ans - D
Question: 1!+2!+3!+......+50!=?
A.3.1035*10^64
B.2.1021*10^65
C.3.1035*10^63
D.3.1035*10^62
Answer: A.3.1035*10^64
Explanation: 3.1035*10^64 should be the Ans.
ANSWER:A