RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
A.50
B.23
C.27
D.28
Answer: C.27
Explanation: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.
Question: Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?
A.14
B.12
C.13
D.15
Answer: C.13
Explanation: This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on.
Answer: C
Question: Find the number of ways of arranging a pen and 6 pencils at a circular table so that the pen always sits in a particular place?
A.3!
B.6!
C.11!
D.12!
Answer: B.6!
Explanation: Ans.(B)
Sol. Total number of persons = 7. The pen can sit in a particular place in one way. Now, remaining positions are defined relative to the pen. Hence, the remaining can sit in 6 places => 6! Ways ... The number of required arrangements = 6! x 1= 6! = 6! ways
Question: What decimal of an hour is a second ?
A..0025
B..0256
C..00027
D..00016
Answer: C..00027
Explanation: Required decimal =	1/(60x60)
=	1/3600
= .00027
answer :C
Question: How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Taking the sum of the digits, we have:
S1=9, S2=12, S3=18, S4= 9, S5=21, S6= 12, S7=18, S8=21, S9=15, S10=24.
Clearly S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9. So, the number of required numbers= 6.
Answer:B
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg
A.2:0
B.2:3
C.2:1
D.2:2
Answer: B.2:3
Explanation: By the rule of alligation:
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind
Required ratio = 60 : 90 = 2 : 3
Answer: B
Question: if price of t.v set is reduced by 25%, then its sale increases by 75%, find net effect on sale value
A.31
B.32
C.46
D.47
Answer: A.31
Explanation: - a + b + ((-a)(b)/100)
= -25+75+(-25*75)/100
= -25+75-19
=31
ANSWER:A
Question: 5000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
A.10600
B.11600
C.12600
D.10680
Answer: A.10600
Explanation: (x*3*1)/100 + [(5000 - x)*5*1]/100 = 144
3x/100 +( 25000 – 5x)/100 = 144
=> x = 10600
ANSWER:A
Question: If a person walks at 12 km/hr instead of 8 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
A.50 km
B.58 km
C.60 km
D.40 km
Answer: D.40 km
Explanation: Let the actual distance traveled be x km. Then,
x/8 = (x + 20)/12
3x - 2x = 40 =>x = 40 km.
Answer :D
Question: Find the least number must be added to 433124 so that remaining no.is divisible by 17?
A.3
B.2
C.5
D.6
Answer: B.2
Explanation: On dividing 433124 by 17 we get the remainder 15, so 2 should be added
B
Question: Tom planted vegetables in a rectangular garden that was 22 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
A.154 sq. ft.
B.156 sq. ft.
C.157 sq. ft.
D.158 sq. ft.
Answer: A.154 sq. ft.
Explanation: area of garden is 22 x 15 = 330 sq. ft.
1/3 x 330 = 110 sq. ft. for corn
1/5 x 330 = 66 sq. ft. for peas
110 + 66 = 176 sq. ft. used
330 - 176 = 154 sq. ft. left over
correct answer A
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did Mary pick?
A.12
B.24
C.48
D.52
Answer: A.12
Explanation: Let x be the amount Peter picked. Then Mary and Lucy picked 2x and x+2x, respectively. So
x+2x+x+2=26
4x=24
x=6
so 2x=2*6=12
correct answer is A) 12
Question: A corporation paid $10 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million in profits?
A. 0%
B. 14%
C. 20%
D. 23%
Answer: A. 0%
Explanation: Difference in Ratios = (30/150) - (10/50) = 0
% Change = 0%
Answer - A
Question: Reema took a loan of Rs 1800 with simple interest for as many years as the rate of interest. If she paid Rs. 632 as interest at the end of the loan period, what was the rate of interest.
A.5.925%
B.5.253%
C.7%
D.6.52%
Answer: A.5.925%
Explanation: Explanation:
Let rate = R% then Time = R years.
=>1800∗R∗R /100=632
=>R2=35.11
=>R=5.925%
Option A
Question: The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?
A.3x
B.4x
C.9x
D.12x
Answer: A.3x
Explanation: Original perimeter = x
Hence original side = x/4
New side = 3x/4
New perimeter = 4*3x/4 = 3x
Correct Option: A
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio Q of men to women?
A. 5:2
B. 5:1
C. 4:3
D. 4:1
Answer: A. 5:2
Explanation: (A) Q=184 x 5 + 170 x 2 = 1260.A
Question: If [M] denotes the least integer greater than or equal to M and [M] = 0, which of the following statements must be true?
A.M = 0
B.0 <= M < 1
C.-1 < M <= 0
D.-1 <= M < 0
Answer: C.-1 < M <= 0
Explanation: The answer for this is0 < = M< = 1
However it is not available in the options. The match to the above is-1 <M <= 0
Answer = C
Question: A photograph measuring 8.5 by 7.5 cm is to be enlarged. If the enlargement of the longer side is 13.6 cm, what is the length of the smaller side?
A.12 cm
B.10 cm
C.13 cm
D.15 cm
Answer: A.12 cm
Explanation: A
12 cm
= (13.6 ÷ 8.5) × 7.5
= 12 cm.
Question: A man can row with a speed of 10 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A.A)63kmph
B.B)63kmph
C.C)15kmph
D.D)62kmph
Answer: C.C)15kmph
Explanation: Explanation:
M = 10
S = 5
DS = 10 + 5 = 15
Answer: Option C
Question: I have a huge bed-sheet of 1 meter long.
I want to cuts this role into pieces of 20 centimeter long cloth.
How long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ?
A.150 Min
B.245 Min
C.185 Min
D.300 Min
Answer: B.245 Min
Explanation: B
It will take 49 cuts not 50.
so 49*5 => 245 minutes
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
A.1:0
B.1:4
C.1:6
D.1:2
Answer: B.1:4
Explanation: 1:4
Answer:B
Question: What will be 40 percent of a number whose 200 percent is 90 ?
A.144
B.72
C.18
D.None of these
Answer: C.18
Explanation: Answer
∵ 200% of N = 90
⇒ N = (90 x 100) / 200 = 45
∴ 40% of N = (40 x 45) / 100 = 18
Correct Option: C
Question: Icarus and three of his friends want to donate money to a family which has 9 members so that they can get $12.00 to buy Chanukkah gifts this year.
Icarus has $35.00, his second friend has $37.00. The third friend has $30.00
How much more money do they need so they can give $12.00 to each of the 9 family members.
A.$6
B.$9
C.$7
D.$10
Answer: A.$6
Explanation: Answer= A
Icarus and his 2 friends have a total of $102.00 ($35 +$37 +$30).
Each of the family members need $12.00.
$12 x 9 = $108
$108 - $102 = $6
Answer= A
Question: A shipment of 8 television sets contains 2 black-and-white sets and 7 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A.1/7
B.1/4
C.5/14
D.11/28
Answer: B.1/4
Explanation: I get 1/4, which is not in the answer choices.
the probability of getting at least one b/w TV is 1-(the probability of getting 2 color TVs)
1-C(7,2)/C(8/2)=7/28=1/4
B
Question: In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?
A.Only 20% of the total members own three cars each.
B.48% of the total members own only one car each.
C.60% of the total members own at least two cars each.
D.80% of the total members own at least one car
Answer: B.48% of the total members own only one car each.
Explanation: Explanation:
Let total number of members be 100,
Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.
Answer: Option B
Question: In Solution P, the proportion of water to alcohol is 5:1. In Solution Q, the proportion of water to alcohol is 2:1. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
A.21%
B.23%
C.25%
D.27%
Answer: C.25%
Explanation: Let V be the total volume of the new solution.
The amount of alcohol added from Solution P is (1/6)*V/2=(1/12)*V
The amount of alcohol added from Solution Q is (1/3)*V/2=(1/6)*V
The total amount of alcohol in the new solution is (1/12+1/6)*V=(1/4)*V
The alcohol concentration is 1/4=25%
The answer is C.
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/8 hours to fill the tank. The leak can drain all the water of the tank in?
A.17 hr
B.19 hr
C.10 hr
D.34 hr
Answer: D.34 hr
Explanation: Work done by the tank in 1 hour
= (1/2 -2 1/8)
= 1/34 Leak will empty the tank in 34 hrs.
Answer:D
Question: . A boy has five trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: Explanation:
The boy can select one trouser in five ways.
The boy can select one shirt in 10 ways.
The number of ways in which he can select one trouser and one shirt is 5 * 10 = 50 ways.
Answer: Option C
Question: Find the HCF of
22×32×72, 2×34×7
A.128
B.126
C.146
D.434
Answer: B.126
Explanation: Explanation:
HCF is Highest common factor, so we need to get the common highest factors among given values. So
we got
2 * 3*3 * 7=126
Answer: Option B
Question: Abigail has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
A. 32
B. 30
C. 29
D. 28
Answer: A. 32
Explanation: 5g + 10h = 460
g > h
Pick an easy number to work with.
suppose g=30.
Then you have 150.
You need another 310 and that means you need h=31 which is greater than g.
Therefore, g > 30.
The only answer choice where g > 30 is if g = 32.
A is the answer.
Question: After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
A.540 m
B.960 m
C.1080 m
D.1020 m
Answer: C.1080 m
Explanation: Solution: The first drop is 120 metres. After this the ball will rise by 96 metres and fall by 96 metres. This process will continue in the form of infinite GP with common ratio 0.8 and first term 96. The required answer is given by the formula:
a/(1-r)
Now,
[{120/(1/5)}+{96/(1/5)}]
= 1080 m.
Answer C
Question: Rahim bought 40 books for Rs.600 from one shop and 20 books for Rs.240 from another. What is the average price he paid per book ?
A.s.14
B.s.18
C.s.12
D.s.11
Answer: A.s.14
Explanation: Average price per book
= (600 + 240) / (40 + 20) = 840/ 60
= Rs.14
Answer:A
Question: A boat goes 100 km downstream in 10 hours, and 45 km upstream in 15 hours. The speed of the stream is?
A.4km/h
B.3km/h
C.2km/h
D.3.5 km/h
Answer: D.3.5 km/h
Explanation: 100 --- 10 DS = 10
? ---- 1
45 ---- 15 US =3
? ----- 1 S = (10 - 3)/2
= 3.5 kmph
ANSWER:D
Question: A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 10 cents?
A.24
B.18
C.32
D.16
Answer: B.18
Explanation: 0.10(x)+0.35(20-x)=2.5
0.10x+7-0.35x=2.5
so x=18
ans is B
Question: Find the average of the first 25 natural numbers?
A.8
B.9
C.13
D.11
Answer: C.13
Explanation: Average of the first 'n' natural numbers = (n + 1)/2
We get (25 + 1)/2 = 13
ANSWER:C
Question: A group of tourists wants to visit only two of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.
A.12
B.16
C.24
D.28
Answer: A.12
Explanation: The number of ways to choose two cities is 4C2=6.
The number of itineraries for each pair of 2 cities is 2!.
So the number of itineraries to two cities is 6*2!=12.
The answer is A.
Question: A beam 9 m long, 40 cm wide and 20 cm high is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is
A.56 kg
B.36 kg
C.48 kg
D.27 kg
Answer: B.36 kg
Explanation: Solution : weight = 18/25 *50 = 36 kg Answer B
Question: At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint. How many liters of blue paint must be added to 16 liters of Fuchsia to change it to Mauve paint?
A.9
B.12
C.14
D.16
Answer: C.14
Explanation: in 16 liters, Red = 5/8 * 16 = 10 and Blue = 6
so, 10/(6+x) = 3/6
or, x = 14 (Answer C)
Question: Two stations A and B are 155 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.9
B.10
C.11
D.12
Answer: C.11
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 155
45x = 180
x = 4.
So, they meet at 11 a.m.
Answer: Option C
Question: On a certain transatlantic crossing, 35 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
A.33 1/3%
B.87.5%
C.50%
D.60%
Answer: B.87.5%
Explanation: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Solution: Let total number of passengers be 100
According to Q stem 40% of passengers who had round-trip tics have taken cars - let number of passengers with round trip be X then
40% of X = 35 => X= 87.5.
Answer B
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 110 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A.2989
B.2765
C.5600
D.2989
Answer: C.5600
Explanation: Total production of salt by the company in that year
= 5000 + 5110 + 5220 + .... + 6210 = 67370.
Average monthly production of salt for that year
= 67370/12
= 5614.
Answer:C
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
A.35
B.56
C.46
D.87
Answer: C.46
Explanation: (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A.2000
B.3000
C.4000
D.3500
Answer: A.2000
Explanation: Capital be x
then 1920 - x/x*100 = 1280
1920-x=x-1280
2x=3200
x=1600
req = 125% of rs 1600 = rs(125/100*1600) = 2000
ANSWER A
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 6 will be equal to:
A.3
B.6
C.1/4
D.1/3
Answer: C.1/4
Explanation: Explanation :
Solution: Given x = k/y^2, where k is constant. Now, y=3 and x =1 gives k = 9.
.'. x = 9/y^2
=> x =9 /6^2 = 1/4
Answer : C
Question: Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 32 percent ryegrass, what percent of the weight of this mixture is X ?
A. 10%
B. 33.33 %
C. 46.66%
D. 50%
Answer: C. 46.66%
Explanation: ---------------->Ryegrass
X-------------->	40%
Y-------------->	25%
M(mixture)---->32%
0.4X + (M-X)0.25 = 0.32M
0.15X = 0.07M
X = 0.4666M
X = 46.66% of M
C
Question: In the new budget the price of cheese rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
A.20%
B.9.1%
C.10.9%
D.12.6%
Answer: A.20%
Explanation: Reduce in consumption = R/(100+R) *100% = 25/125 *100 =20%
Answer is A
Question: Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $99 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
A.$2400
B.$3300
C.$6000
D.$6400
Answer: B.$3300
Explanation: let x be the monthly salary
15%of 1/5*x=99
x=3300
answer B
Question: On a purchase of $112, a store offered a payment plan consisting of a $12 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
A.10.7%
B.11.7%
C.12.7%
D.13.7%
Answer: A.10.7%
Explanation: 12*10 + 12 = 132
(12/112)* 100 = 10.7
Answer : A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 440 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
A.440
B.440 * sqrt (2)
C.400 * sqrt (3)
D.450 * sqrt (4)
Answer: B.440 * sqrt (2)
Explanation: let the constant be k
F1 = 440
F2 = 440k
F3 = 440 k * k = 440 * k^2
F13= 440 * k^12
we know F13 = 2 *F1 = 2 * 440 = 880
880/440 = k^12
k = twelfth root of 2
for F7...
F7 = 440 * k^6 ( as we wrote for F2 and F3)
F7 = 440 * (twelfth root of 2) ^ 6
F7 = 440 * sqrt (2)
Answer B
Question: Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 2800 envelopes.
A.2
B.3
C.4
D.6
Answer: A.2
Explanation: You can either take the amount of work done as the same as Karishma has done or take the work done by each in the same time. I will do the latter
1. Work done in 1 hr by A is 2000 envelopes
2. Work done in 1 hr by A and C is 3000 envelopes
3. So work done in 1 hr by C is 1000 envelopes
4. Work done in 1 hr by B and C is 2400 envelopes
5. So work done in 1 hr by B is 1400 envelopes
6. So to process 2800 envelopes B will take 2800/1400 hrs = 2 hrs
So the answer is choice A
Question: Two numbers are respectively 50% and 20% more than a third number. The percentage that is first of the second is?
A.125%
B.97%
C.118%
D.52%
Answer: A.125%
Explanation: I II III
150 120 100
120----------150
100-----------? => 125%
Answer:A
Question: On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number W of races we need to conduct to get the top 3 fastest horses?
A.5
B.7
C.8
D.10
Answer: B.7
Explanation: W=7 is the correct answer.
Good solution Buneul.B
Question: When a train travels at a speed of 80kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
A.25km
B.50km
C.60km
D.85km
Answer: A.25km
Explanation: Let x be the time reached with the speed 80km/h
50km/h ----> x+15
Distance is equal so
80(km/h)× xhr = 50(km/h) × (x+15) hr
So
80 x = 50x + 750
So the would be in km
And x = 25
ANSWER:A
Question: Two pipes A and B can fill a tank in 24 and 48 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
A.12
B.16
C.19
D.20
Answer: B.16
Explanation: Part filled by A in 1 min. = 1/24
Part filled by B in 1 min. = 1/48
part filled by (A + B) in 1 min. = 1/24 + 1/48 = 1/16.
Both the pipes can fill the tank in 16 minutes.
Answer: B
Question: In Lottery,there are 10 prizes and 25 blanks.A lottery is drawn at random.What is the Probability of getting a prize?
A.1/7
B.2/7
C.3/7
D.4/7
Answer: B.2/7
Explanation: Total number of outcomes possible,n(s)=10+25=35.
Total number of prize,n(e)=10
p(e)=n(e)/n(s)=10/35=2/7
Answer is option B
Question: If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work?
A.32
B.27
C.26
D.99
Answer: A.32
Explanation: Given that 5 women is equal to 8 girls to complete a work.
So, 10 women = 16 girls.
Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21) = 32 days.
Therefore 10 women and 5 girls can a work in 32 days
Answer : A.
Question: A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 43 percent, what is the discount rate on mysteries?
A.24%
B.25%
C.30%
D.37.5%
Answer: D.37.5%
Explanation: Let B be the discount on biographies and M be the discount on mysteries
So., B + M = 0.435 -----(1)
And
(20*5 + 12*3) - (20*5*(1-B) + 12*3*(1-M)) = 19
--> 100(1-(1-B)) + 36(1-(1-M) = 19
100B + 36M = 19 ------(2)
Solving 12., we get M = 0.375 = 37.5%
D
Question: Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours.If all the three pipes operate simultaneously, in how much time will the tank be filled?
A.7 hrs 30 min
B.7 hrs 45 min
C.8 hrs 30 min
D.8 hrs 45 min
Answer: A.7 hrs 30 min
Explanation: 1/10+1/12-1/20=2/15
so 15/2 is equal to 7:30
ANSWER:A
Question: A person buys an article at Rs.650. At what price should he sell the article so as to make a profit of 10%?
A.600
B.715
C.269
D.261
Answer: B.715
Explanation: Cost price = Rs.650
profit = 10% of 650 = Rs.65
Selling price = Cost price + Profit
= 650 + 65 = Rs.715
Answer: B
Question: What day of the week was 3rd January 1501
A.Thursday
B.Tuesday
C.Monday
D.Saturday
Answer: A.Thursday
Explanation: Explanation:
3rd Jan 1501 = (1500 years + 3rd Jan 1501)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 1200 years = 0 (Since 1200 is a perfect multiple of 400)
Number of odd days in the period 1201-1500
= Number of odd days in 300 years
= 5 x 3 = 15 = 1
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
3rd Jan 1501 = 3 odd day
Total number of odd days = (0 + 1 + 3) = 4
4 odd days = Thursday
Hence 3rd January 1501 is Thursday.
Answer: Option A
Question: How many numbers from 10 to 100 are exactly divisible by 9?
A.7
B.8
C.10
D.12
Answer: C.10
Explanation: Option 'C'
10/9 = 1 and 100/9 = 11 ==> 11 - 1 = 10. Therefore 10 digits.