RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In a certain code language, '3a, 2b, 7c' means 'Truth is Eternal';
'7c, 9a, 8b, 3a' means 'Enmity is not Eternal' and
'9a, 4d, 2b, 8b' means 'Truth does not perish'.
Which of the following means 'enmity' in that language ?
A.3
B.9
C.8
D.6
Answer: C.8
Explanation: Explanation:
Justification:
In the second and third statements, the common code is '9a' and the common word is 'not'.
So, '9a' means 'not'.
In the first and second statements, the common codes are '7c' and '3a' and the common words are 'is' and 'Eternal'.
So, in the second statement, '8b' means 'enmity'.
Answer: C) 8b
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
A.11 1/8
B.11 1/4
C.11 1/1
D.11 1/2
Answer: B.11 1/4
Explanation: Explanation:
3/12 + x/15 = 1
x= 11 1/4
Answer:B
Question: What positive number, when squared, is equal to the cube of the positive square root of 17?
A.64
B.32
C.8
D.4
Answer: C.8
Explanation: Let the positive number be x
x^2 = ((17)^(1/2))^3
=>x^2 = 4^3 = 64
=> x = 8
Answer C
Question: Find the odd man out. 30, -5, -45, -90, -145, -195, -255
A.-5
B.-145
C.-255
D.-195
Answer: B.-145
Explanation: Explanation :
30
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
-90 - 50 = -140
-140 - 55 = -195
-195 - 60 = -255
Hence, -145 is wrong. -140 should have come in place of -145
Answer : Option B
Question: Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother." How is the girl related to Rita's friend ?
A.Cousin
B.Daughter
C.Niece
D.Friend
Answer: A.Cousin
Explanation: Explanation:
Daughter of brother-in-law — Niece;
Mother's niece — Cousin.
So, the girl is the cousin of Rita's friend.
Answer: A
Question: The average age of the district level hockey team of eleven is 25 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
A.36 yrs.
B.37 yrs.
C.34 yrs.
D.33 yrs.
Answer: B.37 yrs.
Explanation: Explanation:
Total age of players in team = 25 x 11 = 275
When coach is included, total members = 12, Avg age increases by one becomes 26
Total age when coach is included = 26x12 = 312
Age of coach = 312-275 = 37 yrs.
Answer: B
Question: A building of 6 floors is being painted by 2 painters, and they take 3 days to paint the first floor. If 3 men are then added to the work and all of them continue painting at the same rate, how many days take to them paint all the building, since the first day?
A.5 days
B.8 days
C.9 days
D.10 days
Answer: C.9 days
Explanation: We have that: 2 painters ----- 3 days, (2+3) P ----- X d, that is: (X d/ 2P) = (3 d/5P), then: X d = (3 d/5P)2P = (6/5)d. Is to say, the 5 painters paint the same quantity in 6/5 days; as it is only 1/6 of the building, all the building would be: B = 3 d + 5(6/5) d = (3 + 6) d = 9 days. Answer C.
Question: Ravid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
A. 5/6*d
B. 7/3*d
C. 10/3*d
D. 7/2*d
Answer: C. 10/3*d
Explanation: Ravid has d books;
Jeff has d/3 books;
Paula has 2d books;
Total = d+d/3+2d=10d/3.
Answer: C.
Question: How many three-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
A.None
B.One
C.Two
D.Three
Answer: A.None
Explanation: The possible number N can be written as follow:
N = Multiple of LCM(6,10) + 1st such number
N = 30x + 1
Possible values = 1, 31, 61, 91,121,151,181,211,241,271.....991
Answer : None:A
Question: Solution for 2.01+.3+.34
A.2.91
B.2.65
C.2.938
D.2.986
Answer: B.2.65
Explanation: 2.01+.3+.34=0
0=0-2.01-0.3-0.34
0=-2.65
answer :B
Question: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
A.11 months
B.9 months
C.7 months
D.10 months
Answer: D.10 months
Explanation: Explanation:
7x5: 5xk = 7:10
k = 10 months
ANSWER IS D
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 60% of the total school population of x students, what is x?
A.122
B.150
C.225
D.250
Answer: A.122
Explanation: 90=x/100*60/100*x=>x^2 = 9*10000/6 = > x = 122
A
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
A.Rs. 18.20
B.Rs. 70
C.Rs. 72
D.Rs. 88.25
Answer: C.Rs. 72
Explanation: Explanation:
C.P. = Rs.(100/122.5 x 392)= Rs.(1000*1225 x 392)= Rs. 320
Profit = Rs. (392 - 320) = Rs. 72.
ANSWER IS C
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?
A.13 m
B.14 m
C.15 m
D.16 m
Answer: A.13 m
Explanation: Explanation:
the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is=13mts.
ANSWER IS A
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 60 km per hour. Mr. Dinkle will
A.overtake Mr. Smitherly at 10:30 a.m.
B.overtake Mr. Smitherly at 11:30 a.m.
C.overtake Mr. Smitherly at 2:00 p.m.
D.be 30 miles behind at 9:35 a.m.
Answer: C.overtake Mr. Smitherly at 2:00 p.m.
Explanation: After one hour, Mr. Smitherly is ahead by 50 km.
Mr. Dinkle gains on Mr. Smitherly 10 km each hour.
Five hours after 9:00 a.m., Mr. Dinkle will catch Mr. Smitherly.
The answer is C.
Question: A 6-liter solution is 40% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
A.1.2
B.1.5
C.1.8
D.2.1
Answer: A.1.2
Explanation: Let x be the amount of pure alcohol required.
0.4(6) + x = 0.5(x+6)
0.5x = 3 - 2.4
x = 1.2 liters
The answer is A.
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.9%
B.4%
C.3%
D.6%
Answer: B.4%
Explanation: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Question: For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?
A.1
B.(-3.5)^2
C.3
D.4
Answer: B.(-3.5)^2
Explanation: Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4.5
Step 2, For each number: subtract the Mean and square the result =
(1-4.5)^2=(-3.5)^2
(2-4.5)^2=(-2.5)^2
(3-4.5)^2 =(-1.5)^2
(4-4.5)^2=(.5)^2
(5-4.5)^2=(.5)^2
Clearly (1-4.5)^2=(-3.5)^2 will give you the greatest value among all the other options.
Hence B
Question: N and M are each 3-digit integers. Each of the numbers 1, 2, 3,4,5 and 6 is a digit of either N or M. What is the smallest possible positive difference between N and M?
A.59
B.49
C.58
D.113
Answer: B.49
Explanation: You have 6 digits: 1,2, 3, 4, 5, 6
Each digit needs to be used to make two 3 digit numbers. This means that we will use each of the digits only once and in only one of the numbers. The numbers need to be as close to each other as possible. The numbers cannot be equal so the greater number needs to be as small as possible and the smaller number needs to be as large as possible to be close to each other.
The first digit (hundreds digit) of both numbers should be consecutive integers
Now let's think about the next digit (the tens digit). To minimize the difference between the numbers, the tens digit of the greater number should be as small as possible and the tens digit of the smaller number should be as large as possible . So let's not use 1 and 6 in the hundreds places and reserve them for the tens places Now what are the options?
Try and make a pair with (2** and 3**). Make the 2** number as large as possible and make the 3** number as small as possible.
265 and 314 (difference is 49) or
Try and make a pair with (4** and 5**). Make the 4** number as large as possible and make the 5** number as small as possible. We get 463 and 512 (difference is 49)
B
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.648
B.888
C.928
D.1184
Answer: D.1184
Explanation: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148 => 2k = 296 => k = 148
The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.
ANSWER:D
Question: What is the average of four tenths and five thousandths
A.0.2022
B.0.3325
C.0.2025
D.0.2012
Answer: C.0.2025
Explanation: Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
A.16 min
B.26 min
C.34 min
D.20 min
Answer: D.20 min
Explanation: Speed Ratio = 1:4/5 = 5:4Time Ratio
= 4:51 -------- 5 4 --------- ? è 20
Answer: D
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
A.10.37 p.m
B.10.20 p.m
C.10.30 p.m
D.10.38 p.m
Answer: C.10.30 p.m
Explanation: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
3.30 + 7 h = 10.30 p.m.
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
A.Sunday
B.Friday
C.Saturday
D.Monday
Answer: A.Sunday
Explanation: Explanation :
Given that 8th Feb, 2005 was Tuesday
Number of days from 8th Feb, 2004 to 7th Feb, 2005 = 366
(Since Feb 2004 has 29 days as it is a leap year)
366 days = 2 odd days
Hence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday
Answer : Option A
Question: The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is $48. Then the sum is
A.$600
B.$1000
C.$1200
D.$1500
Answer: C.$1200
Explanation: 20% of (Year 1 Interest) = 20% of (20% of Principal) = 48
Principal = $1200
Answer (C)
Question: What is the height of the triangle?
I.	The area of the triangle is 20 times its base.
II.	The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: A.I alone sufficient while II alone not sufficient to answer
Explanation: EXPLANATION
I. A = 20 x B ⇒1-div-1by2 x B x H = 20 x B⇒H = 40.
I alone gives the answer.
II gives, perimeter of the triangle = 40 cm.
This does not give the height of the triangle.
answer is (A).
Question: Dacid obtained 51, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
A.29
B.38
C.39
D.70
Answer: D.70
Explanation: Average = (51 + 65 + 82 + 67 + 85)/5
= 70
Answer: D
Question: The population of a town is 7800. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
A.9600
B.8000
C.8500
D.9500
Answer: A.9600
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
7800 Ã— 100/90 Ã— 100/90 = 9629
A)
Question: A man swims downstream 120 km and upstream 50 km taking 5 hours each time; what is the speed of the current?
A.3 kmph
B.7 kmph
C.13 kmph
D.6.5 kmph
Answer: B.7 kmph
Explanation: Explanation:
120 --- 5 DS = 24
? ---- 1
50 ---- 5 US = 10
? ---- 1 S = ?
S = (24 - 10)/2 = 7
Answer: Option B
Question: Find the number of different prime factors of 1250
A.4
B.2
C.3
D.5
Answer: B.2
Explanation: Explanation:
L.C.M of 1250 = 2 x 5 x 5 x 5 x 5
2, 5
Number of different prime factors is 2.
Answer: Option B
Question: A speed of 24 metres per second is the same as :
A.60.4 km/hr
B.86.4 km/hr
C.65 km/hr
D.68.5 km/hr
Answer: B.86.4 km/hr
Explanation: Sol.
24 m/sec = [24 * 18/5] km/hr = 86.4 km/hr.
Answer B
Question: The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle?
A.3 and 5
B.3 and 6
C.3 and 7
D.3 and 8
Answer: A.3 and 5
Explanation: Let x and y be the length and width of the rectangle. Using the formulas for the area and the perimeter, we can write two equations.
15 = x y and 16 = 2 x + 2 y
Solve the second equation for x
x = 8 - y
Substitute x in the equation 15 = x y by 8 - y to rewrite the equation as
15 = (8 - y) y
Solve for y to find
y = 3 and y = 5
Use x = 8 - y to find x
when y = 3 , x = 5 and when y = 5 , x = 3.
The dimensions of the rectangle are 3 and 5.
As an exercise, check that the perimeter of this rectangle is 16 and its area is 15.
Answer A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.230
B.240
C.250
D.270
Answer: D.270
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: Option D
Question: A number increased by 20% gives 1080. The number is?
A.800
B.700
C.500
D.900
Answer: D.900
Explanation: Formula = TOTAL=100% ,INCREASE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 20 % = 120 %
120 % -------> 1080 (120 Ã— 9 = 1080)
100 % -------> 900 (100 Ã— 9 = 900)
Option 'D'
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
A.2 Hrs
B.3 Hrs
C.1 Hr
D.4 Hrs
Answer: A.2 Hrs
Explanation: |-----------20--------------------|
50 40
D = 20
RS = 50 â€“ 40 = 10
T = 20/10 = 2 hours
ANSWER A
Question: John has taken four (4) tests that have an average of 82. In order to bring his course grade up to a ‘B’, he will need to have a final average of 86. What will he need to average on his final two tests to achieve this grade?
A.87
B.90
C.92
D.94
Answer: D.94
Explanation: Traditional Method:
Total scored till now 82*4=328
Total score to avg 86 in 6 tests = 86*6=516
Total to be scored on 2 tests = 516-328=188
Avg on 2 tests = 188/2 = 94
Answer: D
Question: If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y?
A.3
B.4
C.10
D.6
Answer: C.10
Explanation: Let x=6.1 and y=16.1
Greatest possible difference=16.1-6.1=10
Answer C
Question: Joshua is fifth from the bottom in a queue of 100 boys.
What is the position of Joshua from the top of the queue?
A.51
B.52
C.53
D.54
Answer: A.51
Explanation: Solution:
51
Explanation:
The position of boys higher than Joshua in the queue is 100 - 50 = 50.
Therefore, the position of Joshua from the top is 50 + 1 = 51.
Answer A
Question: Robert's salary was decreased by 30% and subsequently increased by 30%. how much percentage does he lose?
A.10%
B.9%
C.25%
D.30%
Answer: B.9%
Explanation: let original salary be $100
Salary after decreasing 30% = 100 - 100 x 30/100 = $70
Salary after increasing 30% on $70 = 70 + 70 x 30/100 = $91
Percentage of loss = 100 - 91 = 9%
Answer : B
Question: The average of temperatures at noontime from Monday to Friday is 45; the lowest one is 42, what is the possible maximum range of the temperatures?
A.15
B.25
C.40
D.45
Answer: A.15
Explanation: there are 5 days so the sum of temperature can be 45*5=225
lowest is 42. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*42=168.
on the fifth day it is 225-168=57
range is therefore 57-42=15
answer A
Question: A certain taxi company charges $2.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A.15.6
B.18.1
C.17.5
D.18.7
Answer: B.18.1
Explanation: A certain taxi company charges $2.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
1/5 miles = 0.2 miles.
The cost of 8 miles long ride would be $2.50 for the first 0.2 miles plus (8-0.2)/0.2*0.4 = $2.50 + $15.6 = $18.1.
Answer: B.
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
A.43 kmph
B.45 kmph
C.47 kmph
D.49 kmph
Answer: B.45 kmph
Explanation: B
Let the distance to be travelled to catch the bus be x km
x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km
By traavelling 30 kmph time taken = 60/30 = 2 hours
By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed = 60/(4/3) = 45 kmph.
Question: What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-49)*(25-50)?
A.0
B.1
C.625
D.less than -100,000
Answer: A.0
Explanation: One of the terms is (25-25) so the product is 0.
The answer is A.
Question: 0.9999+0.1111=?
A.1
B.1.0001
C.1.0021
D.1.111
Answer: D.1.111
Explanation: 0.9999 + 0.1111
= 0.9999 + 0.111 + 0.0001
= (0.9999 + 0.0001) + 0.111
= 1 + 0.111
= 1.111
D
Question: A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 3. What could be the ratio of Cats to dogs in the pet store?
A.12:15
B.1:4
C.1:5
D.2:5
Answer: A.12:15
Explanation: Say theratio of cats to dogs is a/b. Then the numberof cats would be ax and the number of dogs bx, for some positive integer x.
We are told that ax - bx = 3 --> x(a - b) = 3. Since 3 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*13.
The above implies that either x = 1 and (a - b) = 3 or x = 3 and (a - b )= 1.
Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 13.
For the original question only option which fits is E, 4:5. Cats = 3*4 = 12 and dogs = 3*5 = 15.
Answer: A.
Question: How many ways could five people sit at a table with eight seats in which three of the eight seats will remain empty?
A.6720
B.6520
C.56
D.120
Answer: A.6720
Explanation: ways in which 5 seats out 8 can be selected = 8C5
ways in which 5 people can be arranged in 5 seats = 5!
Total ways of arrangement = 8C5*5!
=(8!/(5!*3!))*5!
=56*120
=6720
Ans = A
Question: What is the difference between local value & face value of 7 in the numeral 65793?
A.693
B.656
C.691
D.9890
Answer: A.693
Explanation: (Local value of 7) - (Face value of 7)
= (700 - 7) = 693
A
Question: A cube of volume 1000 cm 3 is divided into small cubes of 1 cm 3 ..& all the outer surfaces are painted how many cubes will be there with (at least one side painted or no side painted)
A.477
B.488
C.456
D.425
Answer: B.488
Explanation: Number of cubes with No side painted = 8*8*8 = 512
Number of cubes with atleast one side painted = 1000-512= 488
ANSWER:B
Question: If A speaks the truth 60% of the times, B speaks the truth 50% of the times. What is the probability that at least one will tell the truth
A.0.8
B.0.9
C.1.0
D.1.2
Answer: A.0.8
Explanation: probability of A speaks truth p(A)=6/10;false=4/10
probability of B speaks truth p(B)=5/10;false=5/10.For given qtn
Ans=1-(neither of them tell truth).Because A & B are independent events
=1-[(4/10)*(5/10)]=4/5=0.8
ANSWER:A
Question: The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100000 years is:
A.111 × 1827 miles
B.999× 1238 miles
C.346 × 1012 miles
D.587 x 10^15 miles
Answer: D.587 x 10^15 miles
Explanation: The distance of the light travels in one years is:
5,870,000,000,000 = 587 * 10 ^10
The distance of the light travels in 100000 years is:
= 587 * 10^10 x 10 ^5 = 587 x 10^15 miles
Answer :D
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 151 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.1289
B.1198
C.281
D.1208
Answer: D.1208
Explanation: Explanation:
B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 151 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 151 = 3k + 151 => 2k = 302 => k = 151
The initial quantity of water in A = 8k = 8 * 151 = 1208 liters.
Answer: Option D
Question: John bought 2 shares and sold them for $24 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
A.a profit of $10
B.a profit of $2
C.a loss of $2
D.a loss of $10
Answer: C.a loss of $2
Explanation: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss
Total Selling Price = 24*2 = $48
Total Cost Price = 48/(0.96) = $50
Loss = 50-48 = $2
Answer: Option C
Question: Dan can do a job alone in 12 hours. Annie, working alone, can do the same job in just 9 hours. If Dan works alone for 8 hours and then stops, how many hours will it take Annie, working alone, to complete the job?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Dan can complete 1/12 of the job per hour.
In 8 hours, Dan completes 8(1/12) = 2/3 of the job.
Annie can complete 1/9 of the job per hour.
To complete the job, Annie will take 1/3 / 1/9 = 3 hours.
The answer is B.
Question: The ratio of the radius of two circles is 1: 5, and then the ratio of their areas is?
A.1:7
B.2:9
C.1:25
D.3:7
Answer: C.1:25
Explanation: r1: r2 = 1: 5
Î r1^2: Î r2^2
r1^2: r2^2 = 1:25
Answer: C
Question: 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.120000, find the cost of a camel?
A.s.9800
B.s.3800
C.s.9800
D.s.4800
Answer: D.s.4800
Explanation: Cost of the camel = P
10 camels = 24 horses
16 horses = 4 oxen
6 oxen = 4 elephants
10 elephants = Rs.120000
P = Rs.[(24 * 4 * 4 * 120000)/(10 * 16 * 6 * 10)]
P = Rs.(46080000/9600) => P = Rs.4800
Answer:D
Question: A certain car uses 12 gallons of gasoline in traveling 360 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
A.2
B.4
C.6
D.8
Answer: C.6
Explanation: 360/10 = 36. The difference is 36 - 30 = 6.
Answer C
Question: In a group of ducks and cows, the total number of legs are 26 more than twice the no. of heads. Find the total no.of buffaloes.
A.11
B.12
C.13
D.16
Answer: C.13
Explanation: Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 26
=> 2x = 26=> x = 13
C
Question: (((13!)^16)-((13!)^8))/(((13!)^8)+((13!)^4))=a
then what is the units digit for a/((13!)^4)=
A.7
B.8
C.9
D.6
Answer: C.9
Explanation: (((13!)^16)-((13!)^8))/(((13!)^8)+((13!)^4))=a
solving it , we get
a/((13!)^4)= ((13!)^4-1)
last digit of (13!)^4 will be 0.
so last digit of ((13!)^4-1) will be 9.
ANSWER:C
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
A.1520 m2
B.2420 m2
C.2480 m2
D.2520 m2
Answer: D.2520 m2
Explanation: Explanation:
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m2.
Answer: D