RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 2,7,36,4,14,225,6,21,?
A.475
B.576
C.676
D.776
Answer: B.576
Explanation: 2,7,(x)2, x+3=2+7=9 x=6
4,14,(y)2 y+3=14+4=18 y=15
6,21,(z)2 z+3=21+6=27 z=24 answer=24*24=576
ANSWER:B
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 175 were finally selected, what was the value of N?
A.4
B.9
C.6
D.8
Answer: B.9
Explanation: fastly i reduce 60% till it gets closer to our required 2000 candidates
step(1) 40000 accepted.
step(2) another 40%of 40000=16000 accepted.
here it is quiet observable that if we further deduct candidate by 60% it would change our probablity of easy going 2000 candidate.
so i would get to second stage of recruitment where 50 % is accepted
step(3) 50% of 16000=8000
step(4) 50% of 8000=4000
Step(5) 50% of 4000=2000
Step(6) 50% of 2000=1000
Step(7) 50% of 1000=500
Step(8) 50% of 500=250
Step(9) 70% of 350=175(our target)
total 9 steps required.
Ans B
Question: If x and y are non-zero integers, and 36x^4 – 4y^4 = 6x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
A.2y^2+1/6
B.2y^2+1/8
C.2y^2+1
D.2y^2
Answer: A.2y^2+1/6
Explanation: 36x^4 – 4y^4 = 6x^2 + 2y^2
(6x^2 + 2y^2) (6x^2 - 2y^2) = 6x^2 + 2y^2
6x^2 - 2y^2 = 1
6x^2 = 2y^2+1
x^2 = 2y^2+1/6
Answer : A
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 100 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
A.1 hour
B.1 hour 10 minutes
C.2 hours 30 minutes
D.1 hour 20 minutes
Answer: D.1 hour 20 minutes
Explanation: v1 and V2 are speeds.
v1.t /100 = v2
v2.t/40 = v1
v1/v2 = 5/2
which train A would 100. 2/5 mins to cover the same distance
40 + 40 = 80 mins (ANS D)
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
A.13
B.33
C.50
D.51
Answer: C.50
Explanation: The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.
It means there is no effect of change in volume of water to the costing of the solution
So a solution of 1 liter of spirit and 2 liters of water will cost 50 cents
Answer = 50
ANSWER:C
Question: 3 friends A,B,C went for week end party to McDonald's restaurant and there they measure there weights in some order in 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155 kg, then find the average weight of all the 7 rounds?
A.56
B.66
C.77
D.88
Answer: D.88
Explanation: Its finally a easy one..haha
(A+B+C+AB+BC+CA+ABC)/7 ...as given ABC=155
so A+B+C also equal to 155 and AB+BC+CA=2ABC=(2*155)
finally..(155+2*155+155)/7=88.57
ANSWER:D
Question: A 230 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
A.230
B.270
C.260
D.256
Answer: B.270
Explanation: Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 2340)/9 = 500/9 => x = 270.
Answer: B
Question: In a forest 190 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
A.150
B.750
C.1,250
D.1,900
Answer: D.1,900
Explanation: The percentage of tagged deer in the second sample = 5/50*100=10%.
So, 190 tagged deers comprise 10% of total # of deers --> total # of deers = 190*10 = 1,900.
Answer: D.
Question: Harold needs to buy a ticket to attend a conference for work. His own department contributes $4 less than half the price of the ticket. The HR department will contributes $1 more than a third of the price of the ticket. With these two contributions, Harold has to pay only $10 out of his own pocket to cover the cost of the ticket. What was the price of the ticket?
A.$36
B.$42
C.$48
D.$54
Answer: B.$42
Explanation: Say price of ticket = x
Own department contribution =x/2−4
HR contribution =x/3+1
Self contribution = 10
Setting up the equation
x=x/2−4+x3+1+10
x=42
Answer = B
Question: 33 1/3% OF 270?
A.80
B.90
C.110
D.120
Answer: B.90
Explanation: 33 1/3 % = 1/3
1/3 × 270 = 90
B)
Question: The largest 5 digit number exactly divisible by 91 is:
A.25698
B.581396
C.369741
D.99918
Answer: D.99918
Explanation: Explanation:
Largest 5-digit number = 99999
91) 99999 (1098
91
---
899
819
----
809
728
---
81
---
Required number = (99999 - 81)
= 99918.
Answer:D
Question: John had a stock of 620 books in his bookshop. He sold 50 on Monday, 82 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
A.54.84%
B.36.5%
C.46.5%
D.56.5%
Answer: A.54.84%
Explanation: Let N be the total number of books sold. Hence
N = 50 + 82 + 64 + 78 + 135 = 280
Let M be the books NOT sold
M = 620 - N = 620 - 280 = 340
Percentage
Books not sold / total number of books = 340/620= 0.55 = 54.84%
correct answer A
Question: A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
A.Rs 80
B.Rs 100
C.Rs 95
D.None of these
Answer: D.None of these
Explanation: Explanation :
Let the dealer buys 3kg, 4kg and 5kg.
Price of total dry fruits = 3*100 + 4*80 + 5*60 = Rs 920.
Profit = 920 * 115/100 = 1380.
Price of mix dry fruits per kg = 1380 / 12 = Rs 115.
Answer : D
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many E ways can the test be completed if every question is unanswered?
A.24
B.120
C.625
D.720
Answer: C.625
Explanation: 5 choices for each of the 4 questions, thus total E of 5*5*5*5 = 5^4 = 625 ways to answer all of them.
Answer: C.
Question: An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 80 percent gold?
A.6
B.9
C.12
D.24
Answer: C.12
Explanation: In 24 ounces, gold is 24 * (70/100) = 16.8 ounces. Now we add x ounces of pure gold to make it 90% gold.
So 16.8 + x = (24 + x)* 80/100 => x =12.
Answer is C.
Question: A set consists of 12 numbers, all are even or multiple of 5. If 4 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
A. 0
B. 1
C. 2
D. 3
Answer: C. 2
Explanation: {Total} = {Even} + {Multiple of 5} - {Both} + {Nether}.
Since{Neither}=0(allare even or multiple of 5) then:
12 = 4 + 10 - {Both} + 0;
{Both}=2(so 1 number is both even AND multiple of 5, so it must be a multiple of 10).
Answer: C.
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 36. what is sum of the numbers?
A.21
B.56
C.76
D.84
Answer: A.21
Explanation: Explanation:
Let the numbers be 3x and 4x
LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)
Given that LCM of 3x and 4x is 36
=> 12x = 36
=> x = 36/12 = 3
Sum of the numbers
= 3x + 4x
= 7x
= 7 x 3 = 21
Answer: Option A
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {10, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Given s=3t
t can take 1,2,3
and so s = 3,6,9
3 such pairs can be formed.
answer C
Question: If p is the product of the integers from 1 to 38, inclusive, what is the greatest integer k for which 3^k is a factor of p?
A.13
B.15
C.17
D.19
Answer: C.17
Explanation: 38! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.
We need to add 5 more to these 12 because of 9, 18, 27, and 36.
The greatest integer of k is 17.
The answer is C.
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.87 Kmph
B.68 Kmph
C.54 Kmph
D.37 Kmph
Answer: B.68 Kmph
Explanation: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer: B
Question: A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
A.50
B.100
C.65
D.500
Answer: C.65
Explanation: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $637
x = 65 pairs were sold.
ANSWER:C
Question: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
A.2/3
B.1/3
C.2/9
D.1/12
Answer: D.1/12
Explanation: Probability of first member an English teacher = 3/9
Probability of second member an English teacher = 2/8
Probability of both being english teacher = 3/9 x 2/8 =1/12 (D)
ANSWER:D
Question: The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be
A.30% less than b
B.42 6/7% less than b
C.50% less than b
D.66 2/3% less than b
Answer: A.30% less than b
Explanation: Say a = 4 (multiple of 4), then m = 4 + 3/4*4 = 7.
m = (a + b)/2;
7 = (4 + b)/2 --> b = 10.
m = 7 is 30% less than b = 10.
Answer: A.
Question: Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Katniss knows the answer. Do you ?
A.5pm
B.6pm
C.4am
D.7am
Answer: B.6pm
Explanation: B
6pm
The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Question: Find the value of x: x² + 6x +9.
A.9
B.-1
C.-3
D.3
Answer: C.-3
Explanation: That quadratic is factored as follows:x² + 6x + 9 = (x + 3)(x + 3).Lesson 17.Now, it is easy to see that that both factors will be 0 when x = -3.The solution is:x	=	-3 C
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is?
A.8 days
B.70/8 days
C.12 days
D.14 days
Answer: B.70/8 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.
That is, the required No. of days = 10 Ã— 70/80 = 70/8 days
B)
Question: Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2)
A.If x>y
B.If x>=y
C.If x < y
D.If x<=y
Answer: D.If x<=y
Explanation: Solution:-
X=+27, -27 and Y= +27
Comparing we get X<=Y
D
Question: A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A.5.33kmph
B.6.00kmph
C.5.00kmph
D.6.00kmph
Answer: A.5.33kmph
Explanation: M = 6.5
S = 1.5
DS = 8
US = 4
AS = (2 * 8 * 4) /12 = 5.33
Answer:A
Question: A leak in the bottom of a tank can empty the full tank in 3 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
A.7580
B.7960
C.8290
D.1440
Answer: D.1440
Explanation: Solution
Work done by the inlet in 1 hour	= (1/3 - 1/12)
= 1/4
Work done by the inlet in 1 min.	= (1/4 × 1/60)
= 0.004167
Volume of 0.004167 part = 6 litres.
Therefore, Volume of whole	= 0.004167 x 6
‹=› 1440 litres.
Answer D
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.11 1/8%
B.31 1/9%
C.11 1/9%
D.11 8/9%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
Answer:C
Question: A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 2 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
A.48
B.72
C.144
D.336
Answer: A.48
Explanation: The left window will have permutations of the 4 fiction books, so the number of possibilities for that window is
permutations = 4! = (4)(3)(2)(1) = 24
The right window will have permutations of the 2 non-fiction books, so the number of possibilities for that window is
permutations = 2! = (2)(1) = 2
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 24*2 = 48
Answer: A
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
A.8
B.10
C.15
D.17
Answer: B.10
Explanation: 30 * 25 = 750
425
-----------
325
25 + 7.50 = 32.5
325/32.5 = 10
B
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: |-----------20--------------------|
50 40
D = 20
RS = 50 – 40 = 10
T = 20/10 = 2 hours.Answer:A
Question: Ravi purchased a shirt and a pant for Rs. 1000 &Rs. 3000 respectively. He sold the shirt at a loss of 5% and the pant at a profit of 8%. Overall how much he make a profit.
A.245
B.320
C.120
D.190
Answer: D.190
Explanation: Let the SP of the shirt and the pant be Rs. r and Rs. m respectively.
r = 1000(1 - 5/100) = 1000 - 50
m = 3000(1 + 8/100) = 3000 + 240
Total SP - Total CP = r + m - (1000 + 3000) = -50+ 240= Rs. 190
As this is positive, an overall profit of Rs. 190 was made.
D
Question: A students was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was therefore 10 less than the correct answer. Find the number?
A.10
B.12
C.15
D.20
Answer: B.12
Explanation: Answer
Let the number be N.
According to the question,
(N x 3)/2 - N / (3/2) = 10
⇒ 3N/2 - 2N/3 = 10
⇒ (9N - 4N) / 6 = 10
⇒ 5N / 6 = 10
∴ N = (10 x 6)/5 = 12
Option: B
Question: The sum of the mean, the median, and the range of the set {2,3,7} equals which one of the following values?
A.15
B.8
C.12
D.4
Answer: C.12
Explanation: Here Mean => 2+3+7/3 => 4
median => 3
and range => 7-2 => 5
hence sum => 4+5+3=> 12
Answer: C
Question: At a certain zoo, the ratio of lions to penguins is 3 to 11. If there are 82 more penguins than lions at the zoo, how many lions are there?
A.24
B.30
C.48
D.72
Answer: B.30
Explanation: 3/11 = x / x+82
3*82 = 8x
x=30
B.30
Question: If 28a+30b+31c=365.
then a+b+c=?.a,b,c are natural numbers
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: have a look on your calender
since,we all knw a year consist of 365 days
february is d only month which has 28 days
4 months in a year has 30 days
and,rest 7 months has 31 days..
so,following d given eq. we can write 28*1 + 30*4 + 31*7..
hence values of a,b and c are 1, 4 and 7 respectively..
a+b+c=12
ANSWER:D
Question: There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?
A.10
B.45
C.5
D.20
Answer: A.10
Explanation: Explanation :
3 prize among 5 students can be distributed in 5C3 ways = 10 ways.
Answer : A
Question: A certain number of men can do a work in 20days. If there were 4men more it could be finished in 5days less. How many men are there?
A.10
B.12
C.15
D.20
Answer: B.12
Explanation: Original number of workers = 4 * (20-5)/5 = 12men
Answer is B
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
A.10 years
B.20 years
C.30 years
D.40 years
Answer: A.10 years
Explanation: 28 * 2 = 56
22 * 3 = 66
-----------
10 years
ANSWER:A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country S. If calls to country S are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country S in a certain month?
A.$8.75
B.$12
C.$13.40
D.$17.40
Answer: C.$13.40
Explanation: Discount = 40% of spending
We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.
Max discount = (40/100)* 60 * 1.6 = (40/100)*96
This would be slightly less than 40. About 38 to 39.
Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in S country
Answer (C)
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
A.31/111
B.36/145
C.21/115
D.11/154
Answer: B.36/145
Explanation: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Question: A cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. Find the total area of the wet surface.
A.42 m sqaure
B.49 m sqaure
C.25 m sqaure
D.28 m sqaure
Answer: C.25 m sqaure
Explanation: Explanation:
Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(2*1.1+5*1.1)]+5*2 = 25 m square
Option C
Question: Two friends were driving a Ferrari at 55mph and they traveled x miles with that speed. The next x+20 miles were traveled by them at a speed of 40mph. If they drove for hundred minutes in total.
What is the distance that they traveled in total ?
A.64 2/57 miles
B.74 2/57 miles
C.84 2/57 miles
D.94 2/57 miles
Answer: B.74 2/57 miles
Explanation: Solution:
t1 + t2 = 100 minutes = 100/60 hours
t1 = x/55
t2 = (x+20)/40
x/55 + (x+20)/40 = 100/60
x = 1540/57
Total distance = x + (x+20) = 4220/57 miles = 74 2/57 miles
Answer B
Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
A.277
B.267
C.153
D.188
Answer: C.153
Explanation: 44 + 28 + 10 = 82%
100 – 82 = 18%
850 * 18/100 = 153
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/458
C.1/451
D.1/457
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue
= ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.341 in 2 years?
A.221
B.309
C.400
D.288
Answer: B.309
Explanation: Explanation:
341 = P(21/20)2
P = 309.29
Answer:B
Question: In a nuts and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to be cleaned for 10 minutes after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?
A.130 minutes
B.135 minutes
C.170 minutes
D.180 minutes
Answer: D.180 minutes
Explanation: Total number of nuts produced in 10 minutes = 1000.
An extra 5 minutes is required to clean those nuts.
Thus, the total time required in producing 1000 nuts = 15 minutes.
Now, total number of bolts produced in 20 minutes = 1500.
Here also an extra 10 minutes is required to clean those bolts.
Thus, the total time required in producing 1500 bolts = 30 minutes.
Also, 2000 nuts will be produced in 30 minutes. Hence, the rate of production of nuts is greater than the rate of production of bolts.
Thus, in order to determine the minimum duration required for producing 9,000 pairs of nuts and bolts, we only need to determine the time required for producing 9000 bolts.
Hence, the time required for producing 9000 bolts = (9000 x 30)/ 1500 = 180 minutes
ANSWER:D
Question: In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt?
A.30
B.5
C.8
D.20
Answer: C.8
Explanation: Number of cheerleaders = 27
Number of male = 10
number of female = 17
Coke = 9
Maly = 17
Female who chose malt = 17 - 9 = 8
Answer = C
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
A.200
B.150
C.275
D.300
Answer: A.200
Explanation: 30% ------------ 50
45% ------------ 25
----------------------
15% ------------- 75
30% -------------- ?
150 + 50 = 200 Marks
ANSWER A
Question: The average age of three boys is 32 years and their ages are in proportion 3:6:7. What is the age in years of the youngest boy?
A.16
B.19
C.18
D.4
Answer: C.18
Explanation: 3x + 6x + 7x = 96
x =6
3x = 18
Answer: C
Question: The area of a square field is 576 km2. How long will it take for a horse to run around at the speed of 12 km/h ?
A.12 h
B.10 h
C.8 h
D.6 h
Answer: C.8 h
Explanation: Area of field = 576 km2. Then,
each side of field = √576=24km
Distance covered by the horse
= Perimeter of square field
= 24 × 4 = 96 km
∴ Time taken by horse = distances/peed=96/12=8h
Answer C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.227m
B.228m
C.350m
D.167m
Answer: C.350m
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
Answer: C
Question: A and B entered into a partnership with investments of Rs. 15000 and Rs. 14000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find the share of B.
A.Rs. 4800
B.Rs. 600
C.Rs. 2400
D.Rs. 1200
Answer: A.Rs. 4800
Explanation: Explanation:
Ratio of capitals of A, B and C
= (15000 × 3) : (40000 × 9) : (30000 × 6)
= 1 : 8 : 4
B's share = Rs. [(8/13) × 7800] = Rs. 4800
Answer: Option A
Question: 3+33+333+33.33=?
A.362.33
B.372.33
C.402.33
D.702
Answer: C.402.33
Explanation: 3
33
333
33.33
----------
402.33
----------
Answer is C