RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
A.22
B.77
C.36
D.108
Answer: D.108
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (360 + 360)/12 => x = 30
Speed of each train = 30 m/sec.
= 30 * 18/5 =- 108 km/hr.
Answer: D
Question: If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:
A.16 years
B.16 1/2 years
C.16 2/3 years
D.17 years
Answer: C.16 2/3 years
Explanation: Total time= (10+6 2/3) = 16 2/3 years
C
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:
A.33
B.37
C.76
D.14
Answer: D.14
Explanation: Explanation:
Work done by the leak in 1 hour ={\color{Black} \left ( \frac{1}{2}-\frac{3}{7} \right )=\frac{1}{14}}
{\color{Black} \therefore } Leak will empty the tank in 14 hrs
Answer: D) 14 hours
Question: If a class of 10 students has five men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
A.5!4!
B.5!5!
C.4!4!
D.10!
Answer: A.5!4!
Explanation: Let's say that we make a man sits in spot 1. Then, a man must also sit in spots 3, 5, 7, 9. There are 5! ways of arranging the man this way. However, since this is a table (ie: circle), there are 5 ways where the initial man can sit, so we must divide 5! by 5, which equals to 4!.
It follows that a woman must sit in spots 2, 4, 6, 8, 10. There are 5! ways to arrange this.
Therefore, we get 4!5!. So the answer is A) 5!4!
Question: Which one of the following is the least number of four digits divisible by 71?
A.1288
B.1065
C.1229
D.1727
Answer: B.1065
Explanation: Explanation:
1000/71 = 14 6/71
1000 + 71 â€“ 6 = 1065
Answer:B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.4 km long?
A.2 mins 14 sec
B.2 mins 34 sec
C.2 mins 54 sec
D.4 mins 54 sec
Answer: C.2 mins 54 sec
Explanation: D = 25 * 60 + 1400 = 2900 m
T = 2900/60 * 18/5 = 174 sec = 2 mins 54 sec
ANSWER:C
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
A.3:8
B.3:1
C.3:4
D.3:9
Answer: C.3:4
Explanation: Let the speed of the train be x km/hr and that of the car be y km/hr.
Then, 120/x + 480/y = 8 or 1/x + 4/y = 1/15 --- (i)
And, 200/x + 400/y = 25/3 or 1/x + 2/y = 1/24 --- (ii)
Solving (i) and (ii), we get x = 60 and y = 80
Ratio of speeds = 60:80 = 3:4
Answer:C
Question: Excluding stoppages,the speed of the bus is 72kmph and
including stoppages,it is 54kmph. For how many minutes does the bus stop per hr
A.12 min
B.11 min
C.13 min
D.15 min
Answer: D.15 min
Explanation: Due to stoppages,it covers 18km less.
time taken to cover 18 km is [18/72 *60] min = 15min
Answer is D.
Question: .009/?= .01
A..9
B..09
C..009
D..0009
Answer: A..9
Explanation: Let .009/x = .01;
Then x = .009/.01
= .9/1
= .9
Answer is A
Question: There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 25 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City?
A.90.
B.45.
C.50.
D.40.
Answer: B.45.
Explanation: STREET-CAT DOMESTIC-Cat
70 130
(25gray+45other) 85gray+45other
Answer:B
Question: If the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
A.25%
B.20%
C.16.67%
D.33.33%
Answer: B.20%
Explanation: Explanation :
let us assume before increase the petrol will be Rs. 100.
After increase it will be Rs (100+25) i.e 125.
Now, his consumption should be reduced to :-
=125−100125∗100.
Hence, the consumption should be reduced to 20%.
Answer : B
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p.m.?
A.30 min
B.35 min
C.45 min
D.50 min
Answer: B.35 min
Explanation: there are 7 hours in between 9 a.m. to 4 p.m.
7*5=35 minutes.
ANSWER:B
Question: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following CANNOT be the difference of X and Y ?
A.72
B.45
C.27
D.33
Answer: D.33
Explanation: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y:
X = 10a + b
Y = 10a + b
X - Y = (10a + b) - (10a + b) = 9(a - b). As you can see the difference must be a multiple of 9. Only option D is not a multiple of 9.
Answer: D.
Question: Shobha’s mathematics test had 75 problems i.e.10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic ,40% of the algebra, and 60% of the geometry problems correctly. she did not pass the test because she got less than 60% of the problems right. How many more questions she would have to answer correctly to earn 60% of the passing grade?
A.3
B.2
C.6
D.5
Answer: D.5
Explanation: Number of questions attempted correctly
=(70% of 10 + 40% of 30 + 60% 0f 35)
=7 + 12+21= 45
questions to be answered correctly for 60% grade=60% of 75 = 45
therefore required number of questions= (45-40) = 5
Answer is D.
Question: Solve the following quadratic equation by factoring.
X2+15X=50
A.10,4
B.4,-10
C.5,10
D.-5,10
Answer: D.-5,10
Explanation: Now all we need to do is use the zero factor property to get,
X+5 = 0 X=-5 OR
X+10=0, X = -10
ANSWER D
Question: If x and y are prime numbers such that x > y > 1, then x^2 − y^2 must be divisible by which one of the following numbers?
A. 3
B. 4
C. 5
D. 9
Answer: C. 5
Explanation: If x=3 and y=2, then x^2-y^2=5 and 5 is divisible only by 5 from the options, thus it must be correct.
Answer: C.
Question: Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?
A.1/3
B.2/3
C.1/2
D.7/10
Answer: C.1/2
Explanation: S={2, 3, 5, 7}
The simplest way would be to realize that we choose half of the numbers (basically we divide the group of 4 into two smaller groups of 2) and since a tie is not possible then the probability that the product of the numbers in either of subgroup is more than that of in another is 1/2 (the probability doesn't favor any of two subgroups).
Answer: C
Question: Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
A.Rs.38,0387
B.Rs.38,038
C.Rs.38,036
D.Rs.38,000
Answer: D.Rs.38,000
Explanation: Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, (2x + 4000)/(3x + 4000) = 40/57
6x = 68000 => 3x = 34000
Sumit's present salary = (3x + 4000) = 34000 + 4000 = Rs.38,000.
Answer: D
Question: If there are 4 peanuts in a box and Mary puts 6 more peanuts inside, how many peanuts are in the box?
A.8
B.9
C.10
D.11
Answer: C.10
Explanation: 6+4=10
correct answer is C)10
Question: Cars C1 and C2 travel to a place at a speed of 30 and 45 km/h respectively. If car C2 takes 21⁄2 hours less time than C1 for the journey, the distance of the place is
A.300 km
B.400 km
C.350 km
D.225 km
Answer: D.225 km
Explanation: Let C1 takes t hrs. Then,
∴ Distance is same.
∴ 30t = 45(t - 5⁄2)
⇒ t = 15⁄2 hrs.
∴ Distance = 30 × 15⁄2 = 225 km
Answer D
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 22 percent alcohol by volume?
A.300
B.350
C.400
D.450
Answer: D.450
Explanation: 22% is 12%-points higher than 10% but 8%-points lower than 30%.
Thus there should be 2 parts of solution X for 3 parts of solution Y.
We should add 450 ml of solution Y.
The answer is D.
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 357, which of the following could be equal to n?
A.38
B.39
C.40
D.41
Answer: D.41
Explanation: Since, there is no 51 in the answer choices (357/7 = 51), we know there is at least one 77.
357 - 77 = 280
280/7 = 40
40+1 = 41.
If 41 wasn't there, I would have subtracted 77 from 280 and continued in a similar way.
Ans. D
Question: If a(a - 4) = 21 and b(b - 4) = 21, where a ≠ b, then a + b =
A. −48
B. −2
C. 4
D. 46
Answer: C. 4
Explanation: a(a - 4) = 21 and b(b - 4) = 21
=> a, b must be integers and if a is -3 or 7, b will be 7 and -3 respectively
=> a+b = 4
Ans: C
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 22,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
A.5,476,811 kilometers squared
B.12,500,148 kilometers squared
C.9,843,123 kilometers squared
D.1,878,965 kilometers squared
Answer: B.12,500,148 kilometers squared
Explanation: he difference between the areas of Russia and China is given by
22,098,242 - 9,598,094 = 12,500,148 kilometers squared
correct answer B
Question: A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per second does the larger rim makes in terms of x ?
A.4x/5
B.75x
C.48x
D.24x
Answer: A.4x/5
Explanation: Let's try the explanation. We have two wheels. One with 28pi and the other one with 35pi. They have the same speed. In the smaller wheel it's 28pi*x, which must be equal to the speed of the bigger one (35pi*a number of revolutions).They are asking that number of revolutions (but in minutes, which makes the question even harder).
Anyway, we have 28pi*x=35pi*a.
(28pi*x)/(35pi). = 4x/5.
Ans :A
Question: A train 75 metres long overtook a man who was walking at the rate of 6 km/h and passed him in 18 seconds. Again, the train overtook a second person in 15 seconds. At what rate was the second person travelling ?
A.3 km/h
B.2.5 km/h
C.4 km/h
D.1.5 km/h
Answer: A.3 km/h
Explanation: Let actual speed of train ST km/h.
Then, ST - 6 = 75⁄18 × 18⁄5 = 15
⇒ ST = 21 km/h
Now, let speed of second man = Sm
21 - Sm = 75⁄15 × 18⁄5 = 18
⇒ Sm = 3 km/h
Answer A
Question: For a three-digit number xyz, where x, y, and z are the digits of the number, f(xyz)=5^x 2^y 3^z . If f(abc)=3*f(def), what is the value of abc-def ?
A.1
B.2
C.3
D.9
Answer: A.1
Explanation: Since f(abc) = 3*f(def), I would assume that f = c - 1 from the function above.
The answer should be (A)
Question: If 0 < n < 1, what is the median of the values n, n^-1, n^2, n^1/2 and n^3?
A.n
B.n^-1
C.n^2
D.n^1/2
Answer: A.n
Explanation: A. To make the problem less confusing, I picked a number between 0 and 1 such as n = 1/4 and calculate:
n = 1/4
n^-1 = 4
n^2 = 1/16
n^(1/2) = 1/2
n^3 = 1/8.
From this, rearrange the number and the median is 1/4, which is n. Answer A
Question: Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders.The average expense per boarder is Rs. 700 when there are 25 boarders and Rs 600 when there are 50 boarders.What is the average expense per boarders when there are boarder ?
A.550
B.580
C.540
D.570
Answer: A.550
Explanation: Explanation :
Let x be the fixed cost and y the variable cost
17500 = x + 25y … (i)
30000 = x + 50y … (ii)
Solving the equation (i) and (ii), we get
x = 5000, y = 500
Now if the average expense of 100 boarders be ‘A’.
Then,
=> 100 × A = 5000 + 500 × 100 .
∴ A = 550.
Answer : A
Question: A bookstore made 11000 dollars selling 3000 math books and 1000 physics books. A customer bought 1 math book and 1 physics book and paid 7 dollars. What is the price of each book?
A.4 and 3
B.1 and 6
C.2 and 5
D.None
Answer: C.2 and 5
Explanation: Solution:
Let x be the price of the math book and y be the price of the physics book
x + y = 7
3000 × x + 1000 × y = 11000
Use x + y = 7 to solve for y
x - x + y = 7 - x
y = 7 - x
Substitute 7 - x for y in 3000 × x + 1000 × y = 11000
3000 × x + 1000 × (7 - x) = 11000
3000x + 7000 - 1000x = 11000
2000x = 11000 - 7000
2000x = 4000
x = 2 since 2000 × 2 = 4000
Since 2 + 5 = 7, y = 5
The price of a math book is 2 dollars and the price of a physics book is 5 dollars.
Answer C
Question: Find the value of x: 2x² − 4.
A.0,2
B.-2,2
C.-2,1
D.0,4
Answer: B.-2,2
Explanation: That quadratic is factored as follows:2x² − 4 = (2x − 2)(x + 2).Now, it is easy to see that the second factor will be 0 when x = −2.As for the value of x that will make2x − 4	=	0,we must solve that equation We have:2x	=	4x = 2The solutions are:x	=	-2 and 2 B
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 7 miles per day and it will take them two days, how many miles long is the route down the mountain?
A.18
B.19
C.20
D.21
Answer: D.21
Explanation: On the way down, the rate is 1.5*7 = 10.5 miles per day.
The distance of the route down the mountain is 2*10.5 = 21 miles.
The answer is D.
Question: A can do a work in 3 days. B can do the same work in 6 days. If both A & B are working together in how many days they will finish the work?
A.3
B.5
C.4
D.2
Answer: D.2
Explanation: A rate = 1/3
B rate = 1/6
(A+B) rate = (1/3)+(1/6) = 1/2
A & B finish the work in 2days
correct option is D
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
A.30 years
B.35 years
C.40 years
D.50 years
Answer: C.40 years
Explanation: Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
C)
Question: A rectangular table seats 3 people on each of two sides, with every person directly facing another person across the table. If six people choose their seats at random, what is probability that any two of them directly face other?
A.1/5
B.1/8
C.1/7
D.15/56
Answer: A.1/5
Explanation: A B C
------------
| TABLE |
------------
D E F
A to F are 6 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/5
For ex. If we select A as the person than prob of choosing D is 1/5.
Hence, answer will be A.
Question: If a store adds 20 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 50%, what will the new inventory of chairs be?
A.40
B.60
C.100
D.140
Answer: B.60
Explanation: Explanation:
Letâ€™s say t = total current inventory of chairs. The first sentence states that 20 + t = (3/2)t. First solve for the current inventory:
20 + t = (3/2)t
20 = (3/2)t âˆ’ t
20 = (1/2)t
40 = t
The manager wants to increase this by 50%.
50% of 40 is 20, so the new inventory will be 60.
Answer: B
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Q represents the product of all elements in set X and if 11Q is an even number, what is the range of set X?
A. 14
B. 16
C. 17
D. 20
Answer: C. 17
Explanation: Since 11Q = Even therefore Q has to beEVENsince 11 is a odd integer (Even * Odd = Even)
Similarly, Q is the product of all integers in set X But all integers in Set X are odd except the unknown K and since X contains only prime numbers, K has to equal to 2... ( 2 is the only even prime number and the product of all prime numbers in set X has to be Even, Even * Odd = Even)
Since you know value of K you can calculate the range = Largest integer in the set minus Smallest integer in the set = 19-2 =17
Answer is C
Question: What will be the compound interest on a sum of Rs. 22,000 after 3 years at the rate of 12% p.a.?
A.Rs. 8908.42
B.Rs. 9720
C.Rs. 10123.20
D.Rs. 10483.20
Answer: A.Rs. 8908.42
Explanation: Amount = [22000 * (1 + 12/100)3]
= 22000 * 28/25 * 28/25 * 28/25 = Rs. 30908.42
C.I. = (30908.42 - 22000) = Rs. 8908.42
ANSWER:A
Question: If the least common multiple of 9, 10, 12,
and v is 540, which of the following
could be v?
A.18
B.24
C.27
D.36
Answer: C.27
Explanation: To begin, notice that 540 isn’t a multiple of 24, so you can rule out Choice (B). Now find
the least common multiple (LCM) of 9, 10, and 12. The LCM of 9 and 10 is 90, so the LCM of
9, 10, and 12 must be a multiple of 90. Here are the first six multiples of 90:
90, 180, 270, 360, 450, 540
The number 180 is a multiple of 12 as well, so the LCM of 9, 10, and 12 is 180. However, 180
also is a multiple of 18, 36, and 45. So if any of these numbers were v, the LCM of 9, 10, 12,
and v would be 180. As a result, you can rule out Choices (A), (D), and (E), leaving Choice(C) as your only answer.
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.20 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.399
B.272
C.799.2
D.277
Answer: C.799.2
Explanation: Answer: Option C
Explanation:
a2 = 3136 => a = 56
56 * 4 * 3 = 672 â€“ 6 = 666 * 1.2 = 799.2 Answer: C
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 17 songs, what are the chances that the third song he hears will be his favorite?
A.1/17
B.1/12
C.1/11
D.3/14
Answer: A.1/17
Explanation: The player plays the songs on the album at random, so there are 17 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.
Total outcomes ==> 17
Total positive outcomes ==> 1
Correct answer is A) 1/17
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?
I)x=541 y=401 z=100
II)x=530 y=400 z=100
III)X=501 y=300 z=200
A.I only
B.II only
C.III only
D.I​ and II
Answer: B.II only
Explanation: 10 sec answer if you know how to find the units digit of a number
The number given is of the form of square, so calculate the units digit - Here your objective is to find the sum where last digit is 0
x = 530, so x^2 will have units digit 0
y = 400, so y^2 will have units digit 0
z = 100, so z^2 will have units digit 0
Calculate the units digit , the units digit will be 0
Only option II will satisfy the condition , hence this will be our answer is option B.
Question: The division of a whole number N by 13 gives a quotient of 22 and a remainder of 2. Find N.
A.797
B.197
C.288
D.997
Answer: C.288
Explanation: According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient *divisor + remainder = 22* 13 + 2 = 288 correc answer C
Question: The income of P and Q are in the ratio of 2 : 3 and their expenses are in the ratio of 3 : 5. If each of them saves Rs. 500, then the income of P is:
A.Rs. 3000
B.Rs. 2000
C.Rs. 1500
D.None of these
Answer: B.Rs. 2000
Explanation: Let incomes for P and Q be = 2x, 3x
And their expenses be 2x-500, 3x-500
2x − 500/3x − =3/5
�solving X= Rs. 1000. So Income of P is Rs. 2000.
Answer:	B
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables e are there in the warehouse?
A.6
B.8
C.10
D.15
Answer: A.6
Explanation: Total number of ways to choose 2 chairs from 5 e= 5C2=10
Total number of combination=150
That means we need get 15 combinations from the selection of tables....
Screening through the answers.... 6C2=15..... 15*10=150
Answer is 6... A
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 2?
A.1/6
B.3/4
C.2/6
D.1/2
Answer: D.1/2
Explanation: S={1,2,3,4,5,6}
P(E)=n(E)/n(S)
n(s)=Total numbers in a die=6
Let E be the event of getting the multiple of 2
then ,E={2,4,6}
P(multiple of 2) = 3/6=1/2
ans D
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
A.3:9
B.3:1
C.3:7
D.3:4
Answer: D.3:4
Explanation: Milk = 3/5 * 125 = 75 liters
Water = 50 liters
75 : (50+P) = 3:4
150 + 3P = 400 => P = 50
50 liters of water are to be added for the ratio become 3:4.
Answer: D
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.77
B.15
C.66
D.44
Answer: B.15
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: What is the greatest prime factor of 8^12 - 2^30?
A.2
B.3
C.5
D.7
Answer: D.7
Explanation: 8^12 - 2^30?
8 = 2^3
8^12 = 2^36
2^36 - 2^30 = 2^30 (2^6 - 1) = 2^30 (64 - 1) = 2^30 (63) = 2^30 (7*3*3)
hence 2,3,7 are the prime factors of 8^12 - 2^30. here, 7 is the greatest prime factor.
Option D is correct.
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 36000*10^(-3) Petri dishes. How many germs live happily in a single dish?
A.100
B.200
C.300
D.400
Answer: A.100
Explanation: 0.037*10^5 can be written as 3600
74000*10^(-3) can be written as 36
Required= 3600/36= 100
ANSWER:A
Question: A man purchases a cow for Rs.3000 and sold it on the same day allowing the buyer a credit of 2 years. If the buyer will pay Rs.3600 after 2 year at a rate of simple interest 50/7 % per annum, then the man has a gain of
A.Rs 171.43
B.Rs 172.43
C.Rs 173.43
D.Rs 174.43
Answer: A.Rs 171.43
Explanation: value of Rs3000 after 2 years at 50/7 % S.I will be = 3000 + (3000*2*50/7)/100 = 3000 + 428.57
= 3428.57
therefore C.P of article after 2 years will be Rs 3428.57
but the buyer pays Rs 3600
therefore gain = 3600-3428.57 = Rs 171.43
ANSWER:A
Question: Number of ways in which the letters of word GARDEN can be arranged with vowels in alphabetical order, is
A.360
B.240
C.120
D.480
Answer: A.360
Explanation: Solution
Order of vowels of fixed
∴ required number of ways are 6!/2!. Answer A
Question: Find out the wrong number in the following series:
5, 15, 30, 80, 180, 540, 1080
A.5
B.15
C.80
D.180
Answer: C.80
Explanation: 5*3=15 15*2=30
lykwise 30*3=90 90*2=180
180*3=540 540*2=1080
so 80 is wrong no because we r continously multipying by 3 and 2
ANSWER:C
Question: Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
A.2
B.6
C.4
D.9
Answer: B.6
Explanation: Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
1/x + 1/(x + 6) = 1/4
x2 - 2x - 24 = 0
(x - 6)(x + 4) = 0 => x = 6.
Answer: B
Question: What is the area of a square field whose diagonal of length 20 m?
A.338
B.377
C.200
D.887
Answer: C.200
Explanation: d2/2 = (20 * 20)/2 = 200
Answer:C