RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 7 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank?
A.0.07
B.0.049
C.0.7
D.0.49
Answer: B.0.049
Explanation: The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder.
pi*49*10 = pi*h*100*100 (h is distance that the oil level dropped)
h = 490/10,000 = 49/1000 = 0.049 ft
The answer is B.
Question: The ratio of the ages of Ragul and Vicky is 3 : 6. The total of their ages is 2.7 decades. The proportion of their ages after 0.3 decades will be
[1 Decade = 10 years]
A.4:7
B.3:4
C.4:5
D.7:9
Answer: A.4:7
Explanation: Let,Ragul’s age = 3A and Vicky’s age = 6A
Then 3A + 6A = 27
A = 3
Ragul’s age = 9 years
and Vicky’s age = 18 years
Proportion of their ages after 3 is = (9 + 3) : (18 + 3)
= 12 : 21
= 4 : 7
Answer : A
Question: If x is an integer, then x(x - 1)(x - l) must be evenly divisible by three when l is any of the following values EXCEPT
A.-4
B.-2
C.-1
D.2
Answer: B.-2
Explanation: if we put l=-1 we get:
X(x-1)(X+1) rearrange:(x-1)X(X+1)
so it looks like a sequenc,
if we assume that X =2 and put number from the answer then we get:
(x – 1)x(x – l)
l=5 =1.2.-3
l=2 =1.2.0
l=-1 =1.2.3
l=-4 =1.2.6
but when we put
l=-2 =1.2.4 not satisfied
so,answer is B
Question: In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 65% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?
A.a) 50%
B.b) 53%
C.c) 54%
D.d) 55%
Answer: A.a) 50%
Explanation: Let total voters = 100
so D= 60, vote for the mayor 60*75%=45 (60*3/4)
R= 40, vote for the mayor 40*20%= (40*1/5)
45+8=53
53/100*100=50%
A
Question: If a#b = ab – b + b^2, then 3#7 =
A.2
B.63
C.15
D.21
Answer: B.63
Explanation: Solution -
Simply substitute 3 and 7 in equation in the place of a and b respectively.
3#7 = 3*7 - 7 + 7^2 = 21 - 7 + 49 = 63. ANS B
Question: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?
A.50
B.60
C.75
D.80
Answer: A.50
Explanation: (x+x1+...x14)/15 = 40
50
Option A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 24 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.19
B.19.7
C.20.7
D.21.7
Answer: C.20.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 24 Paise is given as tax
=> Total tax incurred = 24 Paise = Rs.24/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 24/100
⇒ 6(25 −0.3 −x) = 24
⇒ (25 − 0.3 − x) = 4
⇒ x = 25 − 0.3 − 4 = 20.7
C)
Question: A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
A.3%
B.4%
C.5%
D.6%
Answer: D.6%
Explanation: S.I. = Rs. (15500 - 12500) = Rs. 3000.
Rate =(100 x 3000)/(12500 x 4)%	= 6%
answer :D
Question: If a and b are different positive integers and a + b+1 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
A.I only
B.II only
C.III only
D.I and II
Answer: D.I and II
Explanation: Number picking might not be the best way to solve MUST BE TRUE questions.
The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).
As forCOULD BE TRUEquestions:
The questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.
D
Question: The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs 1. Find the sum
A.Rs 600
B.Rs 625
C.Rs 650
D.Rs 675
Answer: B.Rs 625
Explanation: Explanation:
Let the Sum be P
S.I.=P∗4∗2 /100=2P/25
C.I.=P(1+4/100)2−P
=676P/625−P
=51P/625
As, C.I. - S.I = 1
=>51P/625−2P/25=1
=>51P−50P/625=1
P=625
Option B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.111.12 m
B.111.72 m
C.111.15 m
D.116.12 m
Answer: A.111.12 m
Explanation: A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 - 888.88 = 111.12 m.
Answer:A
Question: 850 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
A.17
B.138
C.60
D.38
Answer: A.17
Explanation: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 850 = 17
Answer: A
Question: X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days how long will they work together take to complete the work?
A.13 1/3
B.15
C.20
D.56
Answer: A.13 1/3
Explanation: Explanation:
Work done by x in 8 days= 8/40 = 1/5
remaining work= 4/5
4/5 work is done by Y in 16 days
whole work is done by Y in 16*5/4 = 20 days
X’s 1 day work =1/40
Y’s 1 day work =1/20
(X+Y)’s 1 day work=1/40 +1/20 = 3/40 = 13 1/3
Answer: Option A
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
A.377
B.197
C.187
D.100
Answer: D.100
Explanation: Explanation:
9/12 = 3/4 * 900 = 675
650
-------------
25
1/4 -------- 25
1 --------- ? => Rs.100
Answer: D
Question: A man can row his boat with the stream at 16 km/h and against the stream in 8 km/h. The man's rate is?
A.4 kmph
B.2 kmph
C.7 kmph
D.8 kmph
Answer: A.4 kmph
Explanation: DS = 16
US = 8
S = ?
S = (16 - 8)/2 = 4 kmph
Answer:A
Question: A man’s speed with the current is 18 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
A.8.5 km/hr
B.9.5 km/hr
C.13 km/hr
D.12.5 km/hr
Answer: C.13 km/hr
Explanation: Solution
Man's rate in still water = (18-2.5) km/hr = 15.5 km/hr.
Man's rate against the current = (15.5-2.5) km/hr = 13 km/hr Answer C
Question: 130kg of an alloy A is mixed with 160 kg of alloy B. If alloy A has lead and tin in the ratio 2:3 and alloy B has tin and copper in the ratio 3:4, then the amount of tin in the new alloy is?
A.140.6kg
B.145.3kg
C.146.5kg
D.110.8kg
Answer: C.146.5kg
Explanation: Quantity of tin in 130kg of A = 130*3/5 = 78kg
Quantity of tin in 160kg of B = 160*3/7 = 68.5kg
Quantity of tin in the new alloy = 78+68.5 = 146.5kg
Answer is C
Question: A train 150 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
A.45 kmph
B.50 kmph
C.85 kmph
D.60 kmph
Answer: C.85 kmph
Explanation: Explanation:
Let the speed of the train be x kmph.
Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.
Therefore 150/((x+5)×5/18)=6 <=> 30 (x + 5) = 2700 <=> x = 85
Speed of the train is 85 kmph.
Answer: Option C
Question: A natural number has exactly 10 divisors including 1 and itself.how many distint prime factors this natural number will have?
A.37
B.29
C.27
D.99
Answer: D.99
Explanation: Answer:D
Question: If there are 86 workers in a factory, and on a certain day, 72 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
A.82.7%
B.81.7%
C.83.7%
D.89.7%
Answer: C.83.7%
Explanation: 72/86*100=83.72
83.7%
correct answer C
Question: Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 7 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
A.2y
B.3y
C.5y
D.6y
Answer: B.3y
Explanation: Anthony performed for 14 days meansw Cindy performed for(14-7)=7 days.
If Cindy gives y dollars to Anthony their Daily rate will be equal.It means
(x+y)/14=(x-y)/7
Solving we get, x=3y
Now Anthony's Advance is x=3y .So answer should be B.
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 52 unique alphanumeric case sensitive characters.
A.63^4
B.62^5
C.62(62^4)
D.53(52^4)
Answer: D.53(52^4)
Explanation: Total number of passwords = number of 4 character password +number of 5 character password
= 52^4 + 52^5 (Since there is no limitation on repetition , each character can be chosen in 52 ways )
=52^4(1+ 52)
=52^4 * 53
Answer D
Question: A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
A.1 kmph
B.2 kmph
C.3 kmph
D.2.5 kmph
Answer: A.1 kmph
Explanation: Rate upstream = (1/20 *60) = 3 kmph
Rate dowm stream = 1/12 * 60 = 5 kmph
Rate of the current = ½ (5-3) = 1 kmph
ANSWER:A
Question: What decimal of an hour is a second
A..0028
B..0027
C..0026
D..0025
Answer: B..0027
Explanation: Explanation:
1/(60*60) = 1/3600 = .0027
Option B
Question: Find the odd man out
253, 136, 352, 323, 631, 244
A.323
B.136
C.352
D.631
Answer: A.323
Explanation: The sum all three digits comes to 10 except 323
ANSWER:A
Question: 6x − 12 = 6y
5y + 5x = 10
Which of the following is the number of solutions to the system of equations shown above?
A.More than three
B.Exactly three
C.Exactly two
D.Exactly one
Answer: D.Exactly one
Explanation: 6x − 12 = 6y
=> 6x - 6y = 12
=> x- y =2 -- 1
5y + 5x = 10
=>x + y = 2 -- 2
From equation 1 and 2 , we get
2x = 4
=> x=2
y=0
Therefore , the given system will have Exactly one solution
D
Question: Andy has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
A.80
B.85
C.90
D.95
Answer: D.95
Explanation: (84 + 65 + 76+ x) 4 = 80
(4)(80) = 225 + x
320 = 225 + x
( 320-225) (225-225)
95 = x
ANSWER :D
Question: A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If ten people choose their seats at random, what is probability that any two of them directly face other?
A.1/56
B.1/8
C.1/7
D.1/9
Answer: D.1/9
Explanation: A B C D E
------------
| TABLE |
------------
F G H I J
A to J are 10 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/9
For ex. If we select A as the person than prob of choosing F is 1/9.
Hence, answer will be D.
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
A.Rs. 2(1/9)
B.Rs. 2(2/9)
C.Rs. 2(1/3)
D.Rs. 3(2/5)
Answer: B.Rs. 2(2/9)
Explanation: Here r = 10 % ,x = 100 and A = 5 kg
Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)
B
Question: In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
A. 1992
B. 1993
C. 1994
D. 1995
Answer: C. 1994
Explanation: Let the no of years it takes is x.
620+30x = 780-10x --> 40x = 160 and x=4.
Thus, it happens in 1994.
C.
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 17000, then find his savings?
A.3600
B.3400
C.3608
D.3602
Answer: B.3400
Explanation: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.
Income, 5x = 17000 => x = 3400
Savings = Income - expenditure = 5x - 4x = x
So, savings = Rs. 3400.
Answer:B
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 min
B.2 min
C.8 min
D.9 min
Answer: A.4 min
Explanation: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min.Answer: A
Question: Convert the 13/36 m/s into kilometers per hour?
A.2.9
B.2.2
C.1.3
D.1.2
Answer: C.1.3
Explanation: 13/36 m/s = 13/36 * 18/5 = 13/10 = 1.3 kmph.
Answer: C
Question: There are 8 boxes numbered from 1 to 8. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
A.32
B.34
C.36
D.38
Answer: C.36
Explanation: 1 green ball: 8 ways
2 green balls: 7 ways
3 green balls: 6 ways
4 green balls: 5 ways
5 green balls: 4 ways
6 green balls: 3 ways
7 green balls: 2 ways
8 green balls: 1 way
The total number of ways is 8*9/2=36
The answer is C.
Question: Difference between the length & breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
A.2500 m^2
B.2510 m^2
C.2520 metre sq
D.2540 m^2
Answer: C.2520 metre sq
Explanation: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: The number of ways in which one or more balls can be selected out of 10 white, 9 green and 7 blue balls is
A.892
B.881
C.891
D.879
Answer: D.879
Explanation: The required number of ways
= (10 + 1)(9 + 1)(7 + 1) - 1 = 879.
Answer D
Question: A necklace is made by stringing N individual beads together in the repeating pattern green bead, white bead, yellow bead, red bead, and blue bead. If the necklace design begins with a green bead and ends with a yellow bead, then N could equal
A.55
B.65
C.75
D.68
Answer: D.68
Explanation: Recognize that we are going to have to look for an answer thats a multiple of 5, plus 3.
Mutliple of 5 because there are 5 beads in the pattern, and plus 3 because the bead ends on yellow, which is 3 into the pattern.
I just went through all the answer choices, and only E fits. 5x13 = 65, and 65+3=68
Answer : D
Question: the sides of a triangle are in the ratio 3:5:7.if the pereimeter is 60 cms,the longest side is
A.7
B.30
C.28
D.25
Answer: C.28
Explanation: 3x+5x+7x=60
15x=60
x=4
longest side=7*4=28
ANSWER:C
Question: There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?
A.6P5
B.1
C.5
D.None of these
Answer: D.None of these
Explanation: Solution:
Since, all the points are equally spaced; hence the area of all the convex pentagons will be same.
Answer: Option D
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'4" tall, which of the following is the median height of the children?
A.2'2"
B.2'4"
C.3'3"
D.3'4"
Answer: B.2'4"
Explanation: Total number of children in class = 20
so median must be between 10th and 11th child when they are arranged in ascending order.
When arranged in ascending order 5th and 6th child will have the height of 3'4"
so required median height = (2'4"+2'4")/2 = 2'4"
Ans:Option B
Question: Find the ratio between whole surfaces of a sphere and a hemisphere?
A.4:3
B.3:4
C.3:2
D.5:2
Answer: A.4:3
Explanation: 4 Ï€r2 : 3 Ï€r2 => 4:3
ANSWER A
Question: At a meeting of the 5 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 5 Chiefs of Staff be seated around a circular table?
A.120
B.480
C.960
D.2520
Answer: D.2520
Explanation: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer D (2520), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?D
Question: How much time will it take for an amount of 600 to yield 81 as interest at 4.5% per annum of simple interest?
A.3 years
B.4 years
C.6 years
D.5 years
Answer: A.3 years
Explanation: Time = (100 x 81)/(600 x 4.5) years = 3 years.
answer A
Question: In Kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all?
A.11
B.22
C.77
D.33
Answer: B.22
Explanation: Add the numbers of highlighters.
9 + 8 + 5 =22.
Answer is B.
Question: Calculate 469138 x 9999 = ?
A.4586970843
B.4686970743
C.4690910862
D.4586870843
Answer: C.4690910862
Explanation: Answer
469138 x 9999 = 469138 x (10000-1)
= 4691380000 - 469138
= 4690910862.
Option: C
Question: A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
A.30
B.60
C.90
D.120
Answer: D.120
Explanation: Explanation:
Number of blocks =(160x100x60/20x20x20)=120
Answer: D
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
A.256
B.512
C.432
D.352
Answer: B.512
Explanation: Let total number of children be x.
Then, x *(1/8)x =(x/2)x 16
x = 64.
Number of notebooks =(1/8)x^2 =(1/8)x 64 x 64= 512.
Answer is B.
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
A.10 litres
B.20 litres
C.30 litres
D.5 litres
Answer: A.10 litres
Explanation: Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+5)=4/5 20x=4(3x+5)8x=20 x=2.5
Quantity of alcohol = (4 x 2.5) litres = 10 litres.
ANSWER A 10 litres
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 25?
A.19
B.20
C.32
D.41
Answer: A.19
Explanation: (1056 / 25) gives remainder 6
19 + 6 = 23, So we need to add 19
A
Question: If a : b = 2 : 3, find the value of (3a + 5b) : (3a – b)
A.2 : 7
B.7 : 1
C.2 : 5
D.4 : 9
Answer: B.7 : 1
Explanation: Explanation:
Given: a/b = 2/3
(3a + 5b) / (3a – b)
= [3(a/b) +5] / [3(a/b) – 1]
= [3(2/3) +5] / [3(2/3) – 1]
= 7/1
ANSWER: B
Question: A train passes a man standing on the platform. If the train is 160 meters long and its speed is 72 kmph, how much time it took in doing so?
A.6 Â½ sec
B.6 Â½ sec
C.9 Â½ sec
D.8 sec
Answer: D.8 sec
Explanation: D
8 sec
D = 160
S = 72 * 5/18 = 20 mps
T = 160/20 = 8 sec
Question: Sarah invested $38,700 in an account that paid 6.2% annual interest, compounding monthly. She left the money in this account, collecting interest for three full years. Approximately how much interest did she earn in the last month of this period?
A.$239.47
B.$714.73
C.$2793.80
D.$7,888.83
Answer: A.$239.47
Explanation: 1% of 38700 is 387
6% is approximately 2400
At the end of first year, total amount = 38700+2400 = 41000 (approx)
At the end of second year, total amount = 41000+2400 (6% of 41000 works out to approximately the same) = 43400 (approx)
So total earnings for third year cannot be more than 6% of 43400 i.e at max $3000
So monthly earning has to be in the range of 250.
Answer is A
Question: There is a 35 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 35 cm, how many insects were still left after the race was over?
A.0
B.4
C.6
D.7
Answer: D.7
Explanation: Only the prime numbers greater than 10 and less than 35 were left.
That is 11, 13, 17, 19, 23, 29, and 31.
The total is 7.
The answer is D.
Question: If 4 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
A. 20
B. 24
C. 36
D. 40
Answer: B. 24
Explanation: Let the Capacity of the tank=C
(3/4)C + 4= (9/10)C
=>(9/10)C - (3/4)C = 4
=>(3/20)C = 4
=>C = (4*20)/3 = 26.66
Number of gallons of gasoline that the tank currently holds = 3/4*C +4 = 19.99+4 = 23.99=24
Answer B
Question: A man sold two similar houses each for Rs. 1,00,000 one at a gain of 20% and another at a loss of 20%. What is net gain or loss?
A.4%
B.6%
C.5%
D.3%
Answer: A.4%
Explanation: Explanation :
Solution: Here always net loss of (20/100)^2 % = 4%.
Answer : A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 65000, then the share of B is?
A.A)30000
B.B)34000
C.C)34098
D.D)33007
Answer: A.A)30000
Explanation: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 65000
Share of B = 6/13 (65000)
= Rs. 30000
Answer:A
Question: If 9 spiders make 9 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
A.5 days
B.7 days
C.8 days
D.9 days
Answer: B.7 days
Explanation: Let, 1 spider make 1 web in a days.
More spiders, Less days (Indirect proportion)
More webs, more days (Direct proportion)
Hence we can write as
(spiders)9:1
}::a:9
(webs)1:9
⇒7×1×7=1×7×a
⇒a=7
ANSWER:B
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
A.145
B.180
C.181
D.184
Answer: B.180
Explanation: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: Option B
Question: A group of 4 students bought movie tickets in one row next to each other. If Bob and Lia are in this group, what is the probability that Bob and Lia will each sit next to only one of the three other students from the group?
A.5.67%
B.16.67%
C.15.57%
D.20.25%
Answer: B.16.67%
Explanation: The question basically asks about the probability that Bob and Lisa sit at the ends.
The total # of sitting arrangements is 4!.
Desired arrangement is either BYZL or LYZB. Now, YZ can be arranged in 2! ways, therefore total # of favorable arrangements is 2*2!.
P=(favorable)/(total)=(2*2!)/4!=1/6.
Answer: B.
Question: X and Y start a business with Rs.3000 and Rs.6000 respectively. Hoe should they share their profits at the end of one year?
A.3:1
B.2:1
C.1:2
D.1:3
Answer: C.1:2
Explanation: Explanation:
They should share the profits in the ratio of their investments.
The ratio of the investments made by X and Y =
3000 : 6000 => 1:2
Answer:C