RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
A.5322
B.5330
C.5336
D.5340
Answer: C.5336
Explanation: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
C
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area R covered by the two roads?
A.400
B.1550
C.1575
D.1600
Answer: C.1575
Explanation: Area Covered by Road Along the Length = 5*200 = 1000 Square Meter
Area Covered by Road Along the Width = 5*120 = 600 Square Meter
Common Area in both Roads (where the roads intersect) = Square with Side 5 meter = 5*5 = 25
Total Area of the Roads R = 1000+600-25 = 1575
Answer: option 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.99
B.289
C.350
D.882
Answer: C.350
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: There are 180 doctors and nurses at a hospital. If the ratio of doctors to nurses is 2 to 3, how many nurses are at the hospital?
A.100
B.104
C.108
D.112
Answer: C.108
Explanation: The number of nurses at the hospital is (3/5)*180=108.
The answer is C.
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A.48 km/hr
B.40 km/hr
C.44 km/hr
D.38 km/hr
Answer: A.48 km/hr
Explanation: A
48 km/hr
Speed on return trip = 150% of 40 = 60 km/hr.
Average speed = (2 * 40 * 60)/(40 + 60) = 48 km/hr.
Question: A leak in the bottom of a tank can empty the full tank in 8 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.8640
Answer: D.8640
Explanation: Solution
Work done by the inlet in 1 hour	= (1/8 - 1/12)
= 1/24.
Work done by the inlet in 1 min.	= (1/24 × 1/60)
= 1/1440.
Volume of 1/1440 part = 6 litres.
Therefore, Volume of whole	= (1440×6)
‹=› 8640 litres.
Answer D
Question: A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $300 and $200 per unit, respectively. What is the fewest number of computer printers that the company can purchase?
A.3
B.5
C.7
D.9
Answer: B.5
Explanation: The smallest amount that the company can spend is the LCM of 300 and 200, which is 600 for each, which is total 1200.
The number of 1st type of computers which costing $300 = 600/300 = 2.
The number of 2nd type of computers which costing $200 = 600/200 = 3.
Total = 2+3 = 5
Answer is B.
Question: Ravi can do a piece of work in 28 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.16 1/17 days
B.17 1/8 days
C.16 8/17 days
D.17 7/17 days
Answer: C.16 8/17 days
Explanation: 1/28 + 1/40 = 17/280
280/17= 16 8/17 days
Answer: C
Question: The cost price of a Rs.100 stock at 4 discount, when brokerage is % is :
A.96.2
B.96.2
C.96.25
D.76.2
Answer: C.96.25
Explanation: Explanation:
CP. = = Rs.96.25
Answer: C) Rs.96.25
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A.4:7
B.3:7
C.4:3
D.7:3
Answer: D.7:3
Explanation: Cost of 1 kg pulses of 1st kind=Rs. 15
Cost of 1 kg pulses of 2nd kind=Rs. 20
Mean Price=Rs. 16.50
Cost of 1 kg pulses of 1st kind - Mean Price=15-16.50=Rs 1.50
Cost of 1 kg pulses of 2nd kind - Mean Price=20-16.50=Rs 3.50
Required rate = 3.50 : 1.50 = 7 : 3.
Answer:D
Question: What sum of money will produce Rs.900 as simple interest in 4 years at 9/2 percent?
A.80000
B.100000
C.90000
D.85000
Answer: A.80000
Explanation: 900 = (P*4*9/2)/100
P = 8000
Answer: A
Question: The average age of 2 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
A.10years
B.15years
C.20years
D.25years
Answer: A.10years
Explanation: Total age of 2 boys = 25*2 = 50
ratio of their ages = 3:5:7
Age of the youngest = 50*3/15 = 10 years
Answer is A
Question: What is the decimal equivalent of (1/4)^4?
A.0.0039
B.0.0625
C.0.16
D.0.25
Answer: A.0.0039
Explanation: (1/4)^4 = 1/256 = 0.0039
Answer : A
Question: In ΔPQS above, if PQ =7 and PS = 8, then
A. 9/4
B. 12/5
C. 56/9
D. 15/4
Answer: C. 56/9
Explanation: there are two ways to calculate area of PQS. area remains same, so both are equal.
7*8/2 = PR*9/2
PR = 56/9
C
Question: If 11 lions can kill 11 deers in 11 minutes how long will it take 100 lions to kill 100 deers?
A.1 minutes
B.11 minute
C.100 minutes
D.10000 minutes
Answer: B.11 minute
Explanation: we can try the logic of time and work,our work is to kill the deers so 11(lions)*11(min)/11(deers)=100(lions)*x(min)/100(deers)hence answer is x=11
ANSWER:B
Question: Helen went to the stationers and bought things worth Euro 35, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.Euro 15
B.Euro 15.7
C.Euro 19.7
D.Euro 29.7
Answer: D.Euro 29.7
Explanation: Explanation: Let the amount taxable purchases be Euro x.
Then, 6% of x = 30/100
x = (30/100 x 100/6) = 5.
Cost of tax free items = Euro [35 - (5 + 0.30)] = Euro 29.70
Answer: Option D
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
A.100 m
B.150 m
C.500 m
D.200 m
Answer: A.100 m
Explanation: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m.
ANSWER A
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability G that the sum of the three numbers on the balls selected from the box will be odd?
A.1/4
B.3/8
C.1/2
D.5/8
Answer: C.1/2
Explanation: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);
P(OOO)=(1/2)^3;
P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);
So finally G=1/8+3/8=1/2.
Answer: C.
Question: A coin is tossed 1 time. Find out the number of possible outcomes.
A.1
B.2
C.4
D.8
Answer: B.2
Explanation: When a coin is tossed once, there are two possible outcomes: Head(H) and Tale(T)
Hence, when a coin is tossed 1 time, the number of possible outcomes
=2
Answer : B
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 70% of Bahar's weight. Dolly weighs 40% of Laila's weight. Laila weighs 20% of Dhoni's weight. Who among these 5 persons weighs the least?
A.Dhoni
B.Nameetha
C.Dolly
D.Bahar
Answer: C.Dolly
Explanation: if
Bahar weight = x
we get
Nameetha's weight = 0.7x
Dhoni's weight = 1.4x
Laila's weight = 0.28x
and Dolly's weight = 0.112x
Answer : C
Question: there is four light.all light glow in blue,white,yellow and red.
all glow together and take different color.every time each light change its color in given four of the color.but at same time no two light have same color then tell how many design will form?
A.20
B.24
C.18
D.16
Answer: B.24
Explanation: it is so simple,it is just permutation of 4 item.
4P4=4!=24
answer B
Question: The number of students in the three sections of a class are in the ratio 2:3:4. The average marks scored in each of these sections is in the ratio 4:3:1. By what percent is the average mark of the second section more than the class average?
A.23.27%
B.28.57%
C.32.38%
D.36.74%
Answer: B.28.57%
Explanation: Exp. Let the number of students be 2x, 3x, 4x.
Let the average marks be 4y,3y,y.
Average mark of class = ( 8xy+9xy+4xy)/(2x+3x+4x) =21xy/9x=7y/3
Percentage difference = ( 3y - 7y/3)/7y/3 *100 = 28.57%
Answer:B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 45%?
A.s.429
B.s.352
C.s.429
D.s.128
Answer: B.s.352
Explanation: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 45% = 45% of 640 = Rs.288
SP = CP - Loss = 640 - 288
= Rs.352
Answer:B
Question: Two cars cover the same distance at the speed of 50 and 61 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
A.212 km
B.273 km
C.224 km
D.216 km
Answer: B.273 km
Explanation: 50(x + 1) = 61x
X = 4.55
60 * 4.55 = 273 km
ANSWER:B
Question: If a company allocates 20 percent of its budget to advertising, 20 percent to capital improvements, and 30 percent to salaries, what fraction of its budget remains for other allocations?
A.3/5
B.3/10
C.2/5
D.2/10
Answer: B.3/10
Explanation: 100%-(20%+20%+30%)=30% remains for other allocations --> 30% = 30/100 = 3/10.
Answer: B.
Question: C.P of 12 pens = S.P. of 8 pens. Calculate the gain percentage.
A.22
B.50
C.27
D.15
Answer: B.50
Explanation: ANSWER: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is?
A.22
B.33
C.17
D.12
Answer: B.33
Explanation: 2 * 22/7 * 14 * x = 2904 => x = 33
Answer: B
Question: The price of crude oil which has slumped by 50% in the last 12 months, is projected to increased by 20% in the next 1 month bringing its value to $56. What was the approximate price of crude oil 12 months ago?
A.93
B.235
C.112
D.126
Answer: A.93
Explanation: -50+20-(50*20)/100=-40% net decrease
let initial price be Y
Y(1-40/100)=56
Y=56/0.6 = ~93
Ans is A)
Question: A bullet train 120 m long is running with a speed of 50 kmph. In what time will it pass a man who is running at 4 kmph in the direction opposite to that in which the bullet train is going?
A.23 sec
B.15 sec
C.12 sec
D.8 sec
Answer: D.8 sec
Explanation: D
8 sec
Speed of the bullet train relative to man = (50 + 4) kmph
= 54 *5/18 m/sec = 45/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 120 m at (45/3) m / sec
= (120*3/45) sec = 8 sec
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
A.Rs.28829
B.Rs.28824
C.Rs.28187
D.Rs.28800
Answer: D.Rs.28800
Explanation: Simple interest = (18000 * 4 * 15)/100
= Rs. 10800
Amount = P + I = 18000 + 10800
= Rs. 28800
Answer: D
Question: he average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
A.11
B.25
C.77
D.99
Answer: B.25
Explanation: 39x = 5 + 12 + 15 + 19 + (x – 4)44
x = 25.Answer: B
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 30% profit?
A.277
B.960
C.277
D.832
Answer: D.832
Explanation: Let C.P. = Rs. x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 130% of Rs. 640 = 130/100 * 640 = Rs. 832.
Answer: D
Question: How many times in a day, the hands of a clock are straight?
A.22
B.6
C.77
D.888
Answer: A.22
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only).
So, in a day, the hands point in the opposite directions 22 times.
Answer:A
Question: What is the number in the unit place in (729)59?
A.9 in the unit place.
B.1 in the unit place.
C.6 in the unit place.
D.7 in the unit place.
Answer: A.9 in the unit place.
Explanation: When 729 is multiplied twice, the numbers in the unit place in 1.
In other words, if 729 is multiplied an even number of times, the number
in the unit place will be 1. Thus, the number is the place in (729)^58 is 1.
Thus, (729)59 = (729)^58 x (729) = (.....1) x (729)
= 9 in the unit place.
ANSWER:A
Question: Ram, who is half as efficient as Krish, will take 36 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
A.16 days
B.12 days
C.8 days
D.6 days
Answer: B.12 days
Explanation: Number of days taken by Ram to complete task = 36
Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days
If total work done by Ram in 36 days is 36w
Amount of work done by Ram in 1 day = w
Amount of work done by Krish in 1 day = 2w
Total amount of work done by Krish and Ram in a day = 3w
Total amount of time needed by Krish and Ram to complete task = 36w/3w = 12 days
Answer B
Question: If we need to change the average age of a group containing 4 persons from 40 to 38 by adding a person. What should be the age of the person newly added to the group?
A.20
B.25
C.30
D.38
Answer: C.30
Explanation: Sum of the ages of the group having 4 persons and average 40 = 4x40 = 160
Sum of the ages of the group having 5 persons and average 38 = 5x38 = 190
Age of the new person added to the group = 190-160 = 30
Answer: C
Question: In how many different ways can 4 identical blue pants and 4 identical red pants be shared among 8 children such that each child receives a pant?
A.10320
B.42320
C.40320
D.20320
Answer: C.40320
Explanation: BBB RRR
Therefore total number of ways is
6! but there are two groups of 3 identical things.
Therefore total number of "different" ways is
8!/ (4!) (4!) = 40320 ANS:C
Question: The average monthly income of P and Q is Dollar 5050. The average monthly income of Q and R is Dollar 6250 and the average monthly income of P and R is Dollar 5200. The monthly income of P is:
A.Dollar 3500
B.Dollar 4000
C.Dollar 4050
D.Dollar 5000
Answer: B.Dollar 4000
Explanation: Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000. P's monthly income = Dollar 4000.
Answer B
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
A.1:2:3
B.2:3:4
C.3:4:5
D.4:5:6
Answer: B.2:3:4
Explanation: Explanation:
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x] ⇒ 7x, 21x/2 and 14x.
⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4
Answer: B
Question: 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
A.30
B.60
C.45
D.90
Answer: B.60
Explanation: Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day
Let us say 70 men take x days to consume 150 kg.
Quantity consumed by each item in x days = (7x/30) kg
Quantity consumed by 70 men in x days = (7/30 x)(70) kg
= (7/30 x) * (70) = 960
x = 60 days
ANSWER:B
Question: The cost of 5kg of rice is equal to 17 kg of potatoes. Cost of 7 kg of rice is Rs.476. What will be the cost of 3 kg of rice and 5 kg of potatoes together?
A.Rs.302
B.Rs.312
C.Rs.328
D.Rs.304
Answer: D.Rs.304
Explanation: Explanation:
Price of 1 kg of rice = 476/7 = Rs.68.
Price of 5 kg of rice = Rs.68 x 5 = Rs.340.
Cost of 17 kg potatoes = Rs.340.
:. Cost of 1 kg potato = Rs.340/17 = Rs.20.
:. Cost of 3 kg rice + 5 kg potato = 3 x 68 + 5 x 20 = Rs.304.
Answer: Option D
Question: 27 is a perfect cube. When x is added to the prime factor of 27, the result is also a perfect cube. What is x?
A.1
B.3
C.5
D.7
Answer: C.5
Explanation: 27 is 3*3*3
A 3+1 = 4, 4=2*2
B 3+3 = 6, 6=2*3
C 3+5 = 8, 8=2*2*2
D 3+7 = 10, 10=2*5
E 3+11= 14, 14=2*7
C is the only addition that gives a perfect cube.
Question: At 12:10 o'clock Bill leaves point A towards point B at a speed of 30 Km/h. At 13:40 o'clock Richi leaves from the same point towards point B also, but at a speed of 60 Km/h. At what time will Richi passes over Bill?
A.14:40.
B.15:10.
C.16:10
D.15:40
Answer: B.15:10.
Explanation: Distance travelled by Bill in 1hr 30min ( 12:10 to 13:40) = 30kmph*(90/60)hr = 45km
Relative speed = Richi's speed ~ Bill's speed = 30kmph
Time taken by Richi to cross Bill = 45/30 = 1.5 hrs
Time at which Richi will cross Bill = 13:40 + 1:30 = 14:70 = 15:10 hrs
Ans. B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.200
B.240
C.250
D.260
Answer: B.240
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer: Option B
Question: If f(x) = k(x - k) and k is a constant, what is the value of f(8) - f(3), in terms of k?
A. 1
B. 5k
C. 7k - 1
D. k^2 + k
Answer: B. 5k
Explanation: First, distribute f(x). k(x - k) = kx - k^2. Now evaluate f(8) and f(3):
f(8) = k(8) - k^2 = 8k - k^2
f(3) = 3k - k^2
Answer B
Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
A.1.
B.2.
C.3.
D.4.
Answer: C.3.
Explanation: Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 4
Appliance boxes for sale = 4
Appliance boxes not for sale = 7 - 4 = 3
Correct Option: C
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.200 sec
B.190 sec
C.210 sec
D.150 sec
Answer: B.190 sec
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.
ANSWER:B
Question: a call center agent has a list of 305 phone numbers of people in alphabetic order of names (but she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a message to him. If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to
Mr Sharma.
A.18
B.19
C.20
D.21
Answer: A.18
Explanation: Since the agent does not have any of the names, he calls all 305 numbers.
Depending on the response, he divides the number into two halves 305/2
i.e. 152 or 153(choose as you like,I chose 152),
if the name deepak sharma lies in first half of 152,
then he calls all 152 numbers and check each time dividing by 2 until he finally connects with deepak sharma...
so the sequence will be 152,76,38,19,9,4,2,1,0. since total number of tries is 9...
minimum time required will be 9*2= 18minutes
ANSWER:A
Question: If the volume of two cubes are in the ratio 64:8, the ratio of their edges is:
A.3:1
B.3:2
C.3:5
D.2:1
Answer: D.2:1
Explanation: Explanation:
Let the edges be a and b of two cubes, then
a3/b3=64/8
=>(a/b)3=(4/2)3
a/b=2/1
=>a:b=2:1
Option D
Question: Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 11?
A.13
B.16
C.18
D.19
Answer: A.13
Explanation: A. 13 (cannot be weighed)
B. 15 (can be weighed by keeping weights of 11,4 and 1 kg)
C. 17 (can be weighed by keeping weights of 11 and 7 kg)
D. 19(can be weighed by keeping weights of 11, 7 and 1kg )
E. 21 (can be weighed by keeping weights of 11, 7 and 4 kg)
A
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of
visitors in a month of 30 days starting with sunday is
A.280
B.285
C.290
D.295
Answer: B.285
Explanation: Explanation:
As the month begin with sunday, so there will be five sundays in the month. So result will be:
=(510×5+240×2530)=(855030)=285
Answer: Option B
Question: The average of 55 numbers is 50. If two numbers namely 24 and 48 are discarded, The average of
remaining numbers is?
A.40
B.37.5
C.50
D.60
Answer: C.50
Explanation: Total of 50 numbers = 55 * 50 = 2750
Average of 53 numbers = 2750-(45+55) / 53
= 2650 / 53 = 50
Answer is C
Question: David can read m pages in 15 minutes. At this rate, how long will it take him to read n pages?
A.(10/m)*n
B.(12/m)*n
C.(15/m)*n
D.(16/m)*n
Answer: C.(15/m)*n
Explanation: m page in 15 mins
i.e. 1 page in 15/m mins
i.e. n pages in (15/m)*n
Answer: option C
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.36
B.50
C.55
D.26
Answer: C.55
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr. x - 10 = 45 ==> x = 55 km/hr
Answer: C
Question: If two sides of a triangle have lengths 1 and 5, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
A.None
B.I only
C.II only
D.II and III only
Answer: A.None
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(5-1) < {third side} < (5+1).
4 < {third side} < 6.
Perimeter = {third side} + 1 + 5 = {third side} + 6.
10 < {perimeter} < 12.
answer A
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of n for how many dollars was each share sold?
A.a) 2n/300
B.b) n/300
C.c) n/200
D.d) n/300 + 50
Answer: C.c) n/200
Explanation: Let Cost of 300 shares be $ 3000
So, Cost of 1 shares be $ 10 =>n/300
Selling price per share = (100+50)/100 * n/300
Or, Selling price per share = 3/2 * n/300 => m/200
Hence answer will be (C)
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
A.10 hours
B.13 hours
C.17 hours
D.21 hours
Answer: D.21 hours
Explanation: Explanation:
We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as
Work done for 1 hour without leak = 1/3
Work done with leak = 3 1/2=7/2
Work done with leak in 1 hr=2/7
Work done by leak in 1 hr=1/3=2/7=1/21
So tank will be empty by the leak in 21 hours.
ANSWER IS D
Question: The remainder of the division of a number by 63 is 24. What will be the remainder when that number is divided by 7?
Please explain
A.4
B.3
C.6
D.7
Answer: B.3
Explanation: The easiest way to solve this question is by plugging in a number. Here are the steps I followed:
1) Choose a number X that when divided by 63 gives you 27 as a remainder. So I did x = 63 + 24 = 87.
2) Divide that number by 7. 87/7 = 12R3
Since the remainder is 3, the correct answer is choice B.
Question: The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
A.5.2 minutes
B.5.21 minutes
C.5.25 minutes
D.5.28 minutes
Answer: D.5.28 minutes
Explanation: Let both of them meet after TT min
4500 m are covered by Suresh in 60 m.
In TT min he will cover 4500T604500T60
Likewise, In TT min Suresh's wife will cover 3750T603750T60
Given,
4500T60+3750T60=7264500T60+3750T60=726
TT = 5.28 minutes
Option(D) is correct