RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: a person travels from his house to office from 09:00am to 11:00 am and covers a distence of 13.4km. find the average speed of the person.
A.20.1km/h
B.20.5km/h
C.26.8km/h
D.22.1km/h
Answer: C.26.8km/h
Explanation: time=11:00-09:00=2 hour
distance=13.4km
speed=13.4*2=26.8 km/h
ANSWER:C
Question: How many Books each of Volume 150 meter cube can be packed into a crate of volume 3000 meter cube?
A.cannot be determined
B.20
C.25
D.30
Answer: A.cannot be determined
Explanation: Gud question with a simple concept.
In geo if we want to insert one shape into another we need to know the dimensions of the two shapes.
In above with volume given , we can come up with different shapes, so we cant know the answer
For ex :3000 m3 can be 300*10 or 30*100 or just 3000*1 we don't know , so we cant calculate
Answer : A
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $130. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
A.$21
B.$27
C.$31
D.$61
Answer: D.$61
Explanation: let's suppose that the price of a burger is BB, of a shake - SS and that of a cola is CC. We can then construct these equations:
3B+7S+C=130
4B+10S+C=164.5
Subtracting the first equation from the second gives us B+3S=34.5
Now if we subtract the new equation two times from first or 3 times from second we will get B+S+C=61. In any case, there is no necessity to know each item's price, just the sum.
Answer: D
Question: A sum of money lent out at S.I. amounts to a total of $480 after 2 years and to $680 after a further period of 5 years. What was the initial sum of money that was invested?
A.$360
B.$380
C.$400
D.$420
Answer: C.$400
Explanation: S.I for 5 years = $680 - $480 = $200
The S.I. is $40/year
S.I. for 2 years = $80
Principal = $480 - $80 = $400
The answer is C.
Question: The HCF of two numbers is 52 and the other two factors of their LCM are 11 and 12. What is the largest number.
A.624
B.450
C.480
D.504
Answer: A.624
Explanation: Explanation:
HCF of the two numbers = 52
HCF will be always a factor of LCM
52 is factor of LCM
other two factors are 11 & 12
Then the numbers are (52 *11) and (52 x 12)
= 572 and 624
Answer: Option A
Question: A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:
A.31 : 44
B.31 : 27
C.16 : 15
D.35 : 44
Answer: D.35 : 44
Explanation: n case of stock1, if he invest Rs.105, he will get a dividend of Rs.12 (assume face value = 100)
In case of stock2, if he invest Rs.88, he will get a dividend of Rs.8 (assume face value = 100)
ie, if he invest Rs.(88*12)/8, he will get a dividend of Rs.12
Required ratio = 105 : (88 × 12)/8 = 105 : (11 × 12) = 35 : (11 × 4) = 35 : 44
Answer : Option D
Question: A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, it would have taken 4 hour less than the scheduled time. And, if the train were slower by 6 km/hr, the train would have taken 6 hr more than the scheduled time. The length of the journey is:
A.720 km
B.700 km
C.740 km
D.600 km
Answer: A.720 km
Explanation: Explanation :
Let the length of the journey be d km and the speed of train be S km/hr.
Then,
=>d/(S+6)=t−4. ---------------(i)
=>d/(S−6)=t+6. ---------------(ii)
Subtracting the (i) equation from(ii), we get :-
=>d/(S−6)−d/(S+6)=10 --------------(iii)
Since, Time=Distance/Speed.
From (i) , (ii) and (iii), w get :-
S=30 and d = 720 km.
Answer : A
Question: How many seconds will a 550 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.12 sec
B.30 sec
C.33 sec
D.16 sec
Answer: C.33 sec
Explanation: Speed of train relative to man = 63 - 3
= 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 550 * 3/50
= 33 sec.
Answer: C
Question: A survey was sent to 80 customers, 12 of whom responded. Then the survey was redesigned and sent to another 63 customers, 10 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
A.2%
B.5%
C.14%
D.28%
Answer: B.5%
Explanation: Rate of first survey = 12/80
Rate of second survey = 10/63
% Response rate increase (10/63-12/80)/(12/80) = 5%
Answer is B = 5%
Question: A train 120 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A.7.2 sec
B.9.3 sec
C.12 sec
D.15.2 sec
Answer: A.7.2 sec
Explanation: Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 120 m at 50/3 m / sec = 120 *3/ 50 sec = 7.2 sec
Answer : A.
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
A.3
B.4
C.7
D.8
Answer: A.3
Explanation: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer:A
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 90) square inches. What is the perimeter of the photograph, in inches?
A.10
B.20
C.30
D.40
Answer: A.10
Explanation: Let x and y be the width and length of the photograph.
(x+2)(y+2)=M and so (1) xy + 2x + 2y + 4 = M
(x+8)(y+8)=M and so (2) xy + 8x + 8y + 64 = M+90
Let's subtract equation (1) from equation (2).
6x + 6y + 60 = 90
2x + 2y = 10, which is the perimeter of the photograph.
The answer is A.
Question: Mandrake has to choose 4 from 20 people. There are 3 girls, 5 boys , 12 children. What is total probability that he will choose 1G , 2B , 1C?
A.1/27
B.2/27
C.3/7
D.4/7
Answer: B.2/27
Explanation: (3C1 * 5C2 * 12C1)/ 20C4 = 3*10*12/4845= 360/4845=2/27
ANSWER:B
Question: Compute the perimeter of a square with area 36.
A.24
B.27
C.25
D.26
Answer: A.24
Explanation: If the length of the square is s, then s2 = 36 so s = 6. The perimeter is therefore
4s = 24 .
correct answer A
Question: A teacher gave the same test to three history classes: U, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
A.74
B.75
C.76
D.77
Answer: B.75
Explanation: Ans : B (75)
lets say class U indeed has 4 children, B has 6 children and C has 5 children.
now, if the average of class U is 65, hence total marks awarded in the class = 65*4=260
Similarly,
class B = 80*6 = 480
class C = 77*5 = 385
total marks provided = U+B+C = 260+480+385 = 1125
avg. marks = 1125 / 15 (total no. of students) = 75=B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?
A.7 meters
B.9 meters
C.8 meters
D.5 meters
Answer: D.5 meters
Explanation: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 12,0000 m : C is the circumference
C = 5 meters
correct answer D
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5676, 6336
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.
Each one of remaining 5 is divisible by each one of 11, 3 and 4 and therefore, by 132.
ANSWER:B
Question: 15 tennis players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
A.190
B.200
C.210
D.220
Answer: C.210
Explanation: 15 th player can play with remaining 14 members two times = 2*14=28
14 th " remaining 13= 2*13=26
2*(1+2+3+4+......+14)=2(14)(14+1)/2=210
ANSWER:C
Question: The public library has exactly 2 floors. It has 1/2 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
A.1/4
B.5/14
C.12/17
D.9/14
Answer: C.12/17
Explanation: Lẹt x bé thế nó of shelves and ý bé thế nó of books per shelf on first floor.
Now no of shelves on 2nd floor = (1/2)*x
no of books per shelf on 2nd floor = (5/6) * y
Số total no books on first floor = xy and total no of books on 2nd floor = (1/2)*x*(5/6)*y = (5/12)*xý
fraction of library books on first floor = (xý)/(xý + (5/12)*xý)
=1 / (1+(5/12))
=12/17
Số C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A.78 sec
B.89 sec
C.27 sec
D.24 sec
Answer: B.89 sec
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
Answer:B
Question: Two-third of a positive number and 49/216 of its reciprocal are equal. The number is:
A.5/12
B.7/12
C.25/144
D.144/25
Answer: B.7/12
Explanation: Let the number be x. Then,
2/3 x = 49/216 * 1/x
x2 = 49/216 * 3/2 = 49/144
x = 7/12
ANSWER:B
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?
A.18
B.72
C.78
D.88
Answer: A.18
Explanation: Average score for first 4 rounds = 28
Average score after 5 rounds = 26
Score Scott needs on his 5th round to drop average score by 2 points = 28 - (2*5) = 18
Answer A
Question: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
A.176
B.288
C.363
D.396
Answer: A.176
Explanation: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176
Question: If in a certain code, If NEPOLEAN is written as OBFMPQFO, how can IMPOSING be written?
A.HOJTPQNI
B.HOJTPQNK
C.HOJTPQNL
D.HOJTPQNJ
Answer: D.HOJTPQNJ
Explanation: NEPOLEAN - OBFMPQFO
N+1 = O
E+1 = F
P+1 = Q
O+1 = P
L+1 = M
E+1 = F
A+1 = B
N+1 = O
Now write in reverse order... You ll get OBFMPQFO
Similarly for IMPOSING
I+1 = J
M+1 = N
P+1 = Q
O+1 = P
S+1 = T
I+1 = J
N+1 = O
G+1 = H
Now write in reverse order... HOJTPQNJ
ANSWER:D
Question: In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
A.324138
B.248888
C.378908
D.277880
Answer: A.324138
Explanation: Explanation:
Total Population = 728400
Migrants = 35 % of 728400 = 254940
local population = (728400 - 254940) = 473460.
Rural migrants = 20% of 254940 = 50988
Urban migrants = (254940 - 50988) = 203952
Female population = 48% of 473460 + 30% of 50988 + 40% of 203952 = 324138
Answer: A
Question: Rick deposited $800 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
A.5.
B.25.
C.50.
D.55.
Answer: C.50.
Explanation: 5x+15y=800 --1
x+y=60 ---2
multiply eq 2 with 5 and subtract from eq 1
5x+15y=800
5x+5y=300
10y= 500
y=50 and x = 10
therefore $15 bills = 50
Answer C
Question: An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50 more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate?
A.Rs 600
B.Rs 900
C.Rs 700
D.Rs 1200
Answer: B.Rs 900
Explanation: Explanation :
The ratio of the share students : teacher: benefactor=1:1.5:4.5.
So the proportion to teacher's share = 1.5/7.
Hence, the teachers would donate (1.5/7)×4200=Rs 900.
Answer : B
Question: In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
A.L(L-N) /L-M
B.L(N-M) / L-M
C.L-N
D.M-N
Answer: A.L(L-N) /L-M
Explanation: the ans is quite simple N-M but since the ans is not given, the best way to 'find' the correct option is to plug in the numbers. For my work, i took the following numbers:
L = 200
M = 10
N =20.
So basically, L beat G by 20 meters. Now whatever options comes close to the figure 10 is the right ans..
looking the the opion C to E, one can make out that they are incorrect, A.
Out of which, i choose A.
Question: A local bank that has 12 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 12 codes?
A.3
B.4
C.12 ( 2 integers 4 codes)
D.6
Answer: C.12 ( 2 integers 4 codes)
Explanation: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Add one more integer: 4
44, 14, 41, 24, 42, 34, 43 = 7 Codes
Total = 16 Codes. Enough. Answer: C
4 integers create 12 codes.
Question: For any numbers a and b, a#b = ab(2 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
A.2
B.1
C.3
D.4
Answer: B.1
Explanation: a#b positive then b may be positive or negative. if positive then b< 2 may be 1 and if negative then it is more than or equal to - 1negative . ab will be -ve which is not possible as a and a#b should be positive
ans B
Question: In how many ways a committee of 10 men and 8 women can be made out of total of 15 men and 12 women?
A.336/987
B.1001/165
C.1245/789
D.3256/789
Answer: B.1001/165
Explanation: Required number of ways = 15C10 * 12C8 = 15C5 * 12C4 = 3003/495 = 1001/165
Answer is B
Question: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
A.1 litre paint
B.1 litre water
C.½ litre water and one litre paint
D.½ litre paint and one litre water
Answer: A.1 litre paint
Explanation: Reqd. ratio = 2 : 1.5 i.e. 4 : 3 between paint and water respectively.
6 litres of paint which is half water(3 litres) and half paint (3 litres)
Right now the ratio is 1:1
Looking at the options,
A. Paint : Water = 4 : 3 which is the reqd. ratio . Correct Answer
B. Paint : Water = 3 : 4
C. Paint : Water = 4 : 3.5
D. Paint : Water = 3.5 : 4
E. Paint : Water = 3.5 : 3
Answer : A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
A.08 hours
B.12 hours
C.03 hours
D.04 hours
Answer: B.12 hours
Explanation: The part of the tank filled by three pipes in one hour = 1/8
=> The part of the tank filled by two pipes in 1 hour = 2/3 * 1/8 = 1/12.
The tank can be filled in 12 hours.
Answer:B
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
A.5:8
B.5:6
C.5:1
D.5:3
Answer: A.5:8
Explanation: Given that train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds.
Let the length of train P be LP and that of train Q be LQ
given that LP = 3/4 LQ
As the train P and Q crosses the pole in 30 seconds and 75 seconds respectively,
=> Speed of train P = VP = LP/30
Speed of train Q = VQ = LQ/75
LP = 3/4 LQ
=> VP = 3/4 LQ/(30) = LQ/40
Ratio of their speeds = VP : VQ
= LQ/40 : LQ/75 => 1/40 : 1/75 = 1
5:8
Answer:A
Question: If N = 23×34 , M = 22×3×5, then find the number of factors of N that are common with the factors of M.
A.3
B.9
C.8
D.6
Answer: D.6
Explanation: Answer: c
Explanation:
N = 23×34
M = 22×3×5
By taking common powers we get 22×3
So common factors = (2 + 1)(1 + 1) = 6.
(formula for number of factors of a number)
Answer:D
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
A.12
B.31
C.16
D.18
Answer: A.12
Explanation: (A + B) - (B + C) = 12
A - C = 12
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
A.31 kg
B.32 kg
C.37 kg
D.34 kg
Answer: C.37 kg
Explanation: Explanation:
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 …. (i)
A + B = (40 x 2) = 80 …. (ii)
B + C = (46 x 2) = 92 ….(iii)
Adding (ii) and (iii), we get: A + 2B + C = 172 …. (iv)
Subtracting (i) from (iv), we get : B = 37.
B’s weight = 37 kg.
Answer: C
Question: The speed at which a man can row a boat in still water is 6 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters?
A.40
B.44
C.48
D.52
Answer: B.44
Explanation: The speed of the boat downstream = 6 + 3 = 9 km/hr
9 km/hr * 5/18 = 2.5 m/s
The time taken to cover 110 meters = 110/2.5 = 44 seconds.
The answer is B.
Question: A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a green ball is selected?
A.y/x+5
B.y/x+4
C.(y+5)/(x+y+9)
D.(y+4)/(x+y+9)
Answer: D.(y+4)/(x+y+9)
Explanation: x red balls
y green balls
x+4+y+5 is the total
=x+y+9
y+4 is the number of green balls
so (y + 4)/(x + y + 9)
the answer is D
Question: If x, y, and f are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=f and if x is less than y, which of the following could be the value of f?
A.10
B.12
C.15
D.18
Answer: D.18
Explanation: Answer choice C: f= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: f=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D.
Question: Find the average of first 8 multiples of 5?
A.10
B.15
C.12.5
D.22.5
Answer: D.22.5
Explanation: average = (5+10+15+20+25+30+35+40)/8 = 22.5
Answer is D
Question: MANO,INC recently conducted a survey and found that 100,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of MANO,INC customers live in urban areas ?
A.200,000
B.216,000
C.360,000
D.300,000
Answer: D.300,000
Explanation: Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 100,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(100,000) = 300,000
Final Answer:D
Question: Which of the following inequalities is equivalent to −5 < x < 1?
A.|x - 1| < 7
B.|x + 2| < 3
C.|x + 3| < 5
D.|x - 2| < 6
Answer: B.|x + 2| < 3
Explanation: We know that |x| < a means -a < x < a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0
Given is, -5 < x < 1, let's say by adding y to this inequality we will get into the above format
-5+y < x+y < 1+y
Now, to move this into the mod format, we need to have (-5+y) + (1+y) = 0 => y = 2
Thus, -3< x+2 < 3 => |x+2| < 3.
Hence, answer is B
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through H and the letters E and A must be among the letters selected?
A.30
B.33
C.36
D.39
Answer: C.36
Explanation: Besides A and E, there are 6 letters and we can choose one of them.
6C1 = 6
Three letters can be arranged in 3! ways.
The number of arrangements is 6*3! = 36
The answer is C.
Question: In a barrel of juice there is 50 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
A.3:2.
B.6:5.
C.3:1.
D.4:3.
Answer: B.6:5.
Explanation: Price of 50 L juice= 3x
1L= 3x/50
Price of 80 L beer= 4x
1L= 4x/80
Ratio of 1 L price = 3x/50/4x/80= 6:5
B is the answer
Question: On a certain day, Peter's farm harvested 1253 oranges. If Peter distributes his oranges evenly across 9 different retail shops, how many oranges would remain with him.
A.1 orange
B.3 oranges
C.5 oranges
D.7 oranges
Answer: D.7 oranges
Explanation: This is equivalent to finding the first number that is divisible by 9 that occurs before 1253.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 1253 = 11 and 9 is divisible by 9.
Hence, we need to add 7 to this number for it to be divisible by 9
Correct Option: D
Question: If the radius of a circle is decreased 50%, what happens to the area?
A.10% decrease
B.20% decrease
C.75% decrease
D.40% decrease
Answer: C.75% decrease
Explanation: Area of Square = Pi* radius^2
New Radius = 0.5 * old radius
so new area = (0.5)^2 old area => 0.25 of old area => 25% old area
Ans : C
Question: In 10 years, P will be as old as Q is now. Ten years ago, Q was twice as old as P was then. How old is P now?
A.15
B.20
C.25
D.30
Answer: B.20
Explanation: Q = P+10
Q-10 = 2(P-10)
P = 2P-20
P = 20
The answer is B.
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
A.80/7 sec
B.20/8 sec
C.20/7 sec
D.20/3 sec
Answer: C.20/7 sec
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18
= 7*5 = 35 mps.
The time required = d/s
= 100/35
= 20/7 sec.
Answer: C
Question: Printer P can print one lakh books in 8 hours. Printer Q can print the same number of books in 10 hours while Printer R can print the same in 12 hours. All the Printers started printing at 9 A.M. Printer P is stopped at 11 A.M. and the remaining 2printers complete work. Approximately at what time will the printing of 1 lac books be completed?
A.12 am
B.1 pm
C.2 pm
D.3 pm
Answer: B.1 pm
Explanation: Work done by P in 1 hour = 1/8
Work done by Q in 1 hour = 1/10
Work done by R in 1 hour = 1/12
Work done by P,Q and R in 1 hour = 1/8 + 1/10 + 1/12 = 37/120
Work done by Q and R in 1 hour = 1/10 + 1/12 = 22/120 = 11/60
From 9 am to 11 am, all the Printer were operating.
Ie, they all operated for 2 hours and work completed = 2 × (37/120) = 37/60
Pending work = 1- 37/60 = 23/60
Hours taken by Q an R to complete the pending work = (23/60) / (11/60) = 23/11
which is approximately equal to 2
Hence the work will be completed approximately 2 hours after 11 am ; ie around 1 pm
B
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A.63
B.72
C.14
D.62
Answer: A.63
Explanation: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.
ANSWER A 63
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
A.1323
B.9261
C.2788
D.2999
Answer: B.9261
Explanation: A = 8000(21/20)3 = 9261
Answer:B
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 6 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
A.–4
B.–5
C.–6
D.–7
Answer: D.–7
Explanation: Since f(x) defines maximum of 2x + 6 and 12 + 3x,
to find those x when 2x+6 has greater value,
2x + 6 > 12 + 3x
or x < -6
Only value that satisfy this is -7.
Answer is (D),
Question: The sum of two numbers is 18 and their difference is 12. Find their product.
A.104
B.108
C.45
D.325
Answer: C.45
Explanation: Sol.
Let the numbers be x and y.
Then, x + y = 18 and
x - y = 12
2x = 30 +> x = 15. So y = 3
xy = 15*3 = 45
Answer : C