RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Replace the ____ by the correct mathematic symbol to make expression true?
18 ? 12 ? 4 ? 5 = 59
A.18*12/4+5
B.18/12*4-5
C.18*12*4+5
D.18*12/4-5
Answer: A.18*12/4+5
Explanation: Correct Answer : A
((18*12)/4)+5 = 59
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
A.4452
B.5340
C.5342
D.5345
Answer: A.4452
Explanation: Divisor = (5 * 42) = 210
= 10 * Quotient = Divisor
=> Quotient = 210/10 = 21
Dividend = (Divisor * Quotient) + Remainder
Dividend = (210 * 21) + 42 = 4452
A
Question: A trader has 50 kg of pulses, part of which he sells at 8 per cent profit and the rest at 18 per cent profii. He gains 14 per cent on the whole. What is the quantity sold at 18 per cent profit?
A.30 kg
B.25 kg
C.20 kg
D.40 kg
Answer: A.30 kg
Explanation: Ratio of quantities sold at 8% profit and 18% profit
=>4:6 = 2:3
Therefore,the quantity sold at 18% profit
=>50/(2 + 3) x 3
=>30 kg
ANSWER:A
Question: How many different values of positive integer x, for which |x+4|<x, are there?
A.0
B.2
C.3
D.8
Answer: D.8
Explanation: Answer D
I opted to put the random value option.
i used 0 ,4 , -4 and the the extreme of 60 and -60..
i was able to solve it in 1:09
D
Question: The average monthly salary of 20 employees in an organisation is Rs. 1300. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
A.3600
B.3890
C.88798
D.3400
Answer: D.3400
Explanation: Explanation:
Manager's monthly salary Rs. (1400 * 21 - 1300 * 20) = Rs. 3400.
Answer: D
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 37 minutes, then the slower pipe alone will be able to fill the tank in
A.148 mins
B.140 mins
C.136 mins
D.132 minw
Answer: A.148 mins
Explanation: Explanation:
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x/3 minutes.
Part filled by slower pipe in 1 minute = 1/x
Part filled by faster pipe in 1 minute = 3/x
Part filled by both in 1 minute =
1/x+3/x=1/37
=>4/x=1/37
x=37∗4=148mins
Option A
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 7 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
A.3,150
B.4,200
C.7350
D.20,520
Answer: C.7350
Explanation: MAGOOSHOFFICIAL SOLUTION:
For the large photos, we need 6C3, which we calculated in the article:
7C3 = 35
For the smaller photos, we need 21C19, which by symmetry must equal 21C2, and we have a formula for that. In fact, in the article above, we already calculated that 21C2 = 210.
Now, by the FCP, we just multiply these: total number of possible albums = 35*210 = 7350
Answer =C
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 33 times, A has killed:
A.60 birds
B.72 birds
C.37 birds
D.80 birds
Answer: C.37 birds
Explanation: Let the total number of shots be x. Then,
Shots fired by A =(5/8)x
Shots fired by B =(3/8)x
Killing shots by A =(1/3)of	(5/8)x=(5/24)x
Shots missed by B =(1/2) of (3/8)x	=(3/16)x
3x/16= 33 or x =(33 x 16)/3= 176.
Birds killed by A =(5x/24)	=(5/24*176)= 37.
Answer is C.
Question: From below option 51 is divisible by which one?
A.A)4
B.B)5
C.C)6
D.D)3
Answer: D.D)3
Explanation: 51/3 = 17
D
Question: Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ?
A.518
B.452
C.468
D.502
Answer: C.468
Explanation: Solution
96 pages were unread
so on second week have 5/9
So unread pages = 1 - 5/9 = 4/9
96*9/4 = 216
then, on first week unread pages were 216
total pages = 216*13/6= 468
So answer is C
Question: How many prime numbers between 1 and 100 are factors of 7150?
A.238
B.100
C.299
D.270
Answer: B.100
Explanation: Ans: 7, 150 = 2×52×11×13
So there are 4 distinct prime numbers that are below 100
Answer:B
Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?
A.a > b
B.a ≥ b
C.a < b
D.a ≤ b
Answer: B.a ≥ b
Explanation: a3 = 512 => a = 8
b2 = 64 => b = ± 8
a ≥ b
ANSWER:B
Question: The length of a side on an equilateral triangle is doubled. If y is the previous parameter, what is the value of the new parameter?
A.2y
B.1y
C.3y
D.4y
Answer: A.2y
Explanation: Given parameter y, each side is y/3
If parameter is doubled, then each side is 2y/3, thus the new parameter is 2y.
Answer option A.
Question: The cost of water in the area where the Jones family lives is scheduled to increase by 35% next year. Since the Jones family cannot afford an increase in their water bill, how much will they have to reduce consumption to keep their cost the same?
A.None
B.25.9%
C.10.2%
D.45%
Answer: B.25.9%
Explanation: Solution: Let the current water expense be represented by Rs. 100.
The cost of water rises 35%. So, to buy same amount of water, they need to increase their expense,
= (100 + 35% of 100) = Rs. 135.
But, they want to keep water expense the same, so they have to cut Rs. by 35 to keep it to Rs. =100.
The % decrease in consumption is,
(35/135)*100 = 25.9%.
Mental Calculation Method;
100-----35%↑---→135------X%↓---→100.
Here, X = (35/135)*100 = 25.9%.
Answer: Option B
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 60% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
A.66%
B.75%
C.89%
D.116%
Answer: C.89%
Explanation: Let the price of Company A's assets be 100
Price of assets of KW is 60% more than company A's assets which is 160
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 80
A+B = 180
KW = 160
KW/(A+B)*100 = 160/180*100 = 88.88% or 89%C
Question: At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 65. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
A.1
B.5
C.9
D.15
Answer: A.1
Explanation: WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 60 customers per day.
30/30 = 1 day.Choice (A).
WITHthe formula, we can set up the following:
90 = (60x + 120)/(x + 1)
90x + 90 = 60x + 120
30x = 30
x = 1Answer Choice (A)
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 2000 more than D, what is B's share?
A.A)4000
B.B)2900
C.C)2000
D.D)2393
Answer: A.A)4000
Explanation: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.
Then, 4x - 3x = 2000 => x = 2000.
B's share = Rs. 2x = 2 * 2000 = Rs. 4000.
Answer: A
Question: Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g?
A.75
B.92
C.-101
D.142
Answer: C.-101
Explanation: 800score Official Solution:
First note that g can either be 19 or -19. We are going to have to use both to find all solutions before we can choose a final answer. We begin by substituting g = 19 and then g = -19. If g = 19, then x = 18/5. If g = -19, then x = -4. Since all of our solutions are whole numbers, we can dismiss 18/5. We use g = -19 and x = -4 to determine the value of y: y = 2(-19) + 16 = -22. Finally, we substitute the values for y and g into the last expression to determine its value : 2(-22) + 3(-19) = -44 - 57 = -101;the correct answer is (C).
Question: How many different arrangements of A, B, C, D, and E are possible where A is not adjacent to B and D is not adjacent to E?
A.96
B.48
C.32
D.30
Answer: B.48
Explanation: So you have A,B,C,D,E
five possible ways to arrange it = 5! = 120
AB cannot be adjacents neither DE:
(AB),C,D,E = 4! = 24 x 2(because it can be (AB) or (BA) ) = 48
A,B,C,(DE) = 4! = 24 x 2 = 48
To get rid of the double counting:
(AB),C,(DE) = 3! x 4 = 24
(Four possible ways to arrange it)
120 -48-48+24 = 48 possible ways
ANSWER:B
Question: If m is an integer such that (-2)^2m=2^(24-m) then m=?
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: 2m = 24-m
3m = 24
m = 8
The answer is B.
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
A.65 hours
B.60 hours
C.30 hours
D.62 hours
Answer: B.60 hours
Explanation: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 36 : : 25 : x	(15 x x) = (36 x 25)	(36 x 25)/15 = 60
Hence, 15 men can do it in 60 hours.
Answer is B.
Question: In a sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
A. 3/5
B. 5/8
C. 8/5
D. 5/3
Answer: C. 8/5
Explanation: First term = 1
Second term = (1/1)+1 = 2
Third Term = (1/2)+1 = 3/2
Forth Term = [1/(3/2)]+1 = 5/3
Fifth Term = [1/(5/3)]+1 = 8/5
Answer: Option C
Question: Shopkeeper rise price by 32% and gives successive discount of 10% and 15%. What is overall % gain or loss?
A.0.98%
B.4.98%
C.3.95%
D.6.98%
Answer: A.0.98%
Explanation: Let d initial price be 100
32 % rise
now price = 132/100*100 = 132
10% discount
Then price = 132 * 90/100 = 118.8
15 % discount
Then price = 118.8 * 85/100 = 100.98
So Gain = 100.98 - 100 = 0.98
Gain % = Gain * 100 /CP
==> 0.98* 100 /100 = 0.98%
ANSWER:A
Question: If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
A.127
B.237
C.300
D.450
Answer: C.300
Explanation: Explanation:
Let the required no of hectares be x. Then
Men --- Hectares---Days
12---------80---------24
36---------x---------30
More men, More hectares (Direct proportion)
More days, More hectares (Direct proportion)
x=36/12*30/24*80
x= 300
Answer: C
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
A.75
B.65
C.85
D.95
Answer: C.85
Explanation: Total increase in weight = 8 × 2.5 = 20
If x is the weight of the new person, total increase in weight = x−65
=> 20 = x - 65
=> x = 20 + 65 = 85
Answer is C.
Question: If (2^12)(25^S) = 5(10^m) what is the value of m ?
A.12
B.8
C.15
D.16
Answer: A.12
Explanation: given
2^12 * 25^s = 5 * 10^2
=> 2^12 * 5^(2s) = 2^m * 5^(m+1)
Ans A
on comparing the power of 2 => m=12
Question: X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 36days. How long will Y take to complete the work?
A.45
B.12
C.15
D.18
Answer: A.45
Explanation: Work done by X in 8days = 8*1/40 = 1/5
Remaining work = 1 - 1/5 = 4/5
4/5 work is done by Y in 36days
Whole work will be done by Y in 36*5/4 = 45 days
Answer is A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
A.26%
B.25%
C.85%
D.24%
Answer: B.25%
Explanation: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer: B
Question: From the given equation find the value of x: x² − 3x + 2
A.-1
B.1
C.-2
D.3
Answer: B.1
Explanation: (x − 1)(x − 2)
x = 1 or 2.
B
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers?
A.26
B.27
C.28
D.29
Answer: B.27
Explanation: 8/7 * 24 = 27.4
The answer is B.
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
A.56.27 %
B.56.65 %
C.56.65 %
D.58.25 %
Answer: C.56.65 %
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: C
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 196, what is the difference between the ages of Patrick and Monica?
A.27
B.64
C.45
D.72
Answer: B.64
Explanation: Ages of P and Mi=3x:5x
Ages of Mi and Mo=3x:5x
Rationalizing their ages. ratio of their ages will be 9x:15x:25x
Sum=49x=196
x=4
Difference if ages of Pa and Mo=25x-9x=16x=16*4=64
Answer B
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is
A.No profit, no loss
B.5%
C.8%
D.10%
Answer: B.5%
Explanation: C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
Gain =(80/1600)x 100	% = 5%.
ANSWER:B
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence ,father's age will be 10 years more than twice the age of the son , Find the present age of the father.
A.33 years
B.35 years
C.31 years
D.35 years
Answer: A.33 years
Explanation: Explanation :
Explanation :
Sol. Let the son's present age be xx years.
Then , father's present age = (3x+3)(3x+3) years
âˆ´âˆ´ (3x+3+3)=2(x+3)+10(3x+3+3)=2(x+3)+10
â‡” 3x+6 =2x+16â‡” 3x+6 =2x+16
â‡” x=10â‡” x=10
Hence , father's present age = (3x+3)(3x+3) = (3 x 10 + 3) years = 33 years.
ANSWER IS A
Question: The average of 6 no.'s is 2.80. The average of 2 of them is 2.4, while the average of the other 2 is 2.3. What is the average of the remaining 2 no's?
A.2.3
B.2.6
C.3.6
D.3.7
Answer: D.3.7
Explanation: Sum of the remaining two numbers = (2.80 * 6) - [(2.4 * 2) + (2.3 * 2)]
= 16.80 - (4.8 + 4.6) = 16.80 - 9.40 = 7.40
Required average = (7.4 / 2) = 3.7
Answer : D
Question: Mother,her daughter and her grand child weighs 150 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
A.46
B.47
C.42
D.49
Answer: C.42
Explanation: mother + daughter + child = 150kg
daughter + child = 60kg
mother = 150 - 60 = 90kg
child = 1/5th of mother = (1/5)*90 = 18kg
So now daughter = 120 -(mother + child) = 150 - (90+18) = 42kg
ANSWER:C
Question: Divide $900 among A,B in the ratio 1:2. How many $ that A get?
A.$50
B.$300
C.$150
D.$250
Answer: B.$300
Explanation: Sum of ratio terms = 1+2 = 3
A = 900*1/3 = $300
Answer is B
Question: The sub-duplicate ratio of 9:25 is
A.4:3
B.1:2
C.3:5
D.1:4
Answer: C.3:5
Explanation: root(9):root(25)=3:5
ANSWER:C
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
A.10
B.8
C.7
D.9
Answer: A.10
Explanation: Alternating addition and subtraction series. in first added second is subtracted.
=> 10 is the next one
ANSWER A
Question: What is the tens' digit W of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
A.W=2
B.W=3
C.4
D.8
Answer: B.W=3
Explanation: All of the first 40 terms have 1 at the units place.
Except the first term, the tens digit of all the remaining 39 terms is 1.
So now if you do the addition
1 1
1 1
. . .
. . .
. . .
1 1
0 1
3 0
Answer is B
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
A.Rs. 4, Rs. 23
B.Rs. 13, Rs. 17
C.Rs. 15, Rs. 14
D.Rs. 17, Rs. 13
Answer: B.Rs. 13, Rs. 17
Explanation: Explanation:
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.
ANSWER IS B
Question: For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 40 color copies at Print Shop Y than at Print Shop X?
A.$48
B.$54
C.$60
D.$66
Answer: C.$60
Explanation: The difference in the two prices is $2.75 - $1.25 = $1.50 for each color copy.
Each color copy will cost an extra $1.50 at Print Shop Y.
40*$1.50 = $60
The answer is C.
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
A.4
B.7
C.6
D.8
Answer: A.4
Explanation: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.37
B.50
C.77
D.55
Answer: B.50
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 - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer: B
Question: How many of the factors of 168 are divisible by 2?
A.4
B.8
C.10
D.12
Answer: D.12
Explanation: 168 = 2^3*3*7
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 3, 7, and 21.
The number of even factors is 16-4 = 12
The answer is D.
Question: A set consist of 2b-1 element. What is the number of subsets of this set which contain at most b-1 elements?
A.2^(2b-2)
B.2^(2b) - 2
C.2^(2b) -1
D.2^(2b)
Answer: A.2^(2b-2)
Explanation: I used b=3, so then we have
5!/2!3! + 5!/4!1! + 5!/0!5!
10 + 5 + 1 = 16
So our target is 16
Now replace in answer choices
A gives us 2^4 = 16
Hence A is the correct option
Read carefully it says at most so keep in mind that picking a small number such as 3 will help you save time since you have to list fewer outcomes
Avoid 2 since you will get 1 arrangement (b-1) and may be risky since 1 is a number with certain unique properties
Question: A man goes from A to B at a speed of 35 kmph and comes back to A at a speed of 28 kmph. Find his average speed for the entire journey?
A.38.9 kmph
B.38.8 kmph
C.38.1 kmph
D.37.1 kmph
Answer: C.38.1 kmph
Explanation: Distance from A and B be 'd'
Average Speed = total distance/total time
Average Speed = (2d)/[(d/35) + (d/28]
= (2d)/[11d/140) => 38.1 kmph.
Answer:C
Question: If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
A.12
B.88
C.27
D.92
Answer: A.12
Explanation: Explanation:
Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.
Smallest part = = 12
Answer: A) 12
Question: J is 25% less than P and 20% less than T. T is w% less than P. What is the value of w?
A.93.5
B.90
C.6.75
D.6.25
Answer: D.6.25
Explanation: Usually We can solve every question of this type by choosing appropriate value of the Variable and deriving the value of other related variables.
Let, P = 400
then J = (75/100)*400 = 300
also J = (80/100)*T
i.e. T = 300*100/80 = 375
and T = [1-(w/100)]*P
i.e. 100-w = 100*T/P = 100*375/400 = 93.75
i.e. w = 6.25
Answer: Option D
Question: Bob had x number of sweets and wanted to share it with his 6 friends. However, he could not divide x into 7 parts equally. He also found that he could not divide x equally into 6,5,4,3 or 2 parts either. He decided to throw one sweet away and found that he had enough sweets to divide into 7,6,5,4,3 or 2 equal parts. What is the smallest possible number of x?
A.421
B.422
C.423
D.420
Answer: A.421
Explanation: x-1 is lcm of 7,6,5,4,3,2,1 i.e. 420
x-1=420
x=421
ANSWER:A
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?
A.3/11
B.2/11
C.1/11
D.4/11
Answer: B.2/11
Explanation: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by A in 3 minutes = 3/30
Required ratio = 3/30 * 20/11 = 2/11
Answer:B
Question: JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
A.30 days
B.60 days
C.65 days
D.78 days
Answer: B.60 days
Explanation: Amount of work done by JOHN and ANDREW in 1 day = 1/30
Amount of work done by JOHN and ANDREW in 20 days = 20 × (1/30) = 20/30 = 2/3
Remaining work – 1 – 2/3 = 1/3
JOHN completes 1/3 work in 20 days
Amount of work JOHN can do in 1 day = (1/3)/20 = 1/60
=> JOHN can complete the work in 60 days
B
Question: Two trains travelling in the same direction at 108 and 90 kmph completely pass off another in 1 minute. If the length of the first train is 100 m, what is the length of the second train?
A.228
B.266
C.175
D.200
Answer: D.200
Explanation: RS = 108 â€“ 90 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
100
--------
200 m
Answer: D
Question: Jonathan’s grandparents lend $10,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?
A.10,000∗0.1^5
B.10,000∗0.5
C.10,000∗1.5
D.10,000∗1.1^5
Answer: C.10,000∗1.5
Explanation: Let the principal be $1
So Interest for the $1 for 5 years at 10% Pa is -
1∗5∗10/100 => 0.50
Now Principal is $1 and Interest is $ 0.50 , so Amount to be returned is - $1 + $0.50 => $1.50
So, for $ 10,000 , amount to be returned is 10,000 * 1.50; Answer is (C)
Question: What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
A.354665677
B.436557678
C.457676788
D.725117481
Answer: D.725117481
Explanation: Explanation:
On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
Answer: Option D
Question: The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:1 is?
A.2:3
B.3:2
C.5:8
D.8:1
Answer: D.8:1
Explanation: 2/3=0.666
5/8=0.625
3/2=1.5
8/9=0.888
8/1=8
ANSWER:D
Question: Machine A and machine B are each used to manufacture 880 sprockets. It takes machine A 10 hours longer to produce 880 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
A.6
B.6.6
C.8.8
D.100
Answer: C.8.8
Explanation: time taken by B = t
time taken by A = t+10
qty produced by A = q
qty produced by B = 1.1 q
for B: t(1.1q) =880
qt=800
for A: (t+10)(q) = 880
qt+10q=880
800+10q=880
q=8
so A can produce 8/hour.
then B can produce = 8(1.1)=8.8/hour.
C
Question: A wildlife preserve is being planned for 6,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
A. 340
B. 330
C. 670
D. 310
Answer: C. 670
Explanation: Number of rhinos = 6000
Watering area = 10,000 acres
Number of rhino to increase by 10 percent ,then number of rhino = 6600
Grazing area for a rhino = 100
Total grazing area for 6600 rhinos= 6600 * 100 = 6,60,000
Total area required for the wildlife preserve = 6,60,000 + 10,000 = 6,70,000 = 670 * 1000
Answer C
Question: Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
A.44 minutes
B.45 minutes
C.43 minutes
D.48 minutes
Answer: D.48 minutes
Explanation: D
48 minutes.
Donald duck's speed = X km/seconds
pool current speed = Y km/seconds
2/(X+Y) = 40
2/(X-Y) = 60
Solving the simultaneous equations gives X = 1/24
Therefore, to cover 2km will take 2/X = 48 seconds