RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: There are four prime numbers written in ascending order. The product of first three is 385 and that of last three is 1001. The last number is:
A.9
B.13
C.15
D.12
Answer: B.13
Explanation: Explanation:
abc/bcd=385/1001=>a/d=5/13
So d = 13
Option B
Question: The percentage profit earned by selling an article for Rs. 1720 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.3000
B.1230
C.1875
D.5600
Answer: C.1875
Explanation: Then, (1720 - x)/x * 100 = (x - 1280)/x * 100
1720 - x = x - 1280
2x = 3000 => x = 1500
Required S.P. = 125 % of Rs. 1500 = 125/100 * 1500 = Rs. 1875.
ANSWER C
Question: The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle.
A.120m
B.145m
C.130m
D.140m
Answer: D.140m
Explanation: Let inner radius be r metres
Then 2πr = 640
2 × 22/7 r = 880
44/7 r = 880
r = 880 × 7/44 = 140 m
Answer is D.
Question: 5,9,19,31,51,__
A.84
B.80
C.81
D.82
Answer: A.84
Explanation: (9+5) +5 = 19
(16+9) +6 = 31
(28+16)+7 = 51
(48+28)+8 = 84
ANSWER:A
Question: Lexi needed to save for 30 days to afford a vacation at the job that paid her $125 per day. Lexi got a new job that pays $150 per day. How many days will she need to save to afford a vacation with this job?
A.25
B.20
C.27
D.29
Answer: A.25
Explanation: D1 P1 = D2 P2
30*125=D2*150 => D2=25
Answer:A
Question: 0.001 Ã— 0.001 = ?
A.0.1
B.0.001
C.0.01
D.1.0e-06
Answer: D.1.0e-06
Explanation: 0.001 Ã— 0.001 = ?
or,? = 0.000001
Answer D
Question: In a consumer survey, 60% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 10% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A.10
B.15
C.20
D.25
Answer: C.20
Explanation: 40 + 30 + 20 = 90
This number includes some people counted twice and some people counted three times.
90 - 60 = 30, and this number represents people counted twice or three times.
10% of the people are counted two extra times.
The percentage of people counted one extra time is 30 - 10(2) = 10.
The percentage of people who liked more than one product is 10% + 10% = 20%.
The answer is C.
Question: What percent of 120 are 90?
A.25%
B.50%
C.75%
D.33%
Answer: C.75%
Explanation: Explanation:
(?% /100) * 120 = 90
? = 75%
ANSWER IS C
Question: 2.08 can be expressed in terms of percentage as
A.2.08%
B.20.8%
C.208%
D.0.208%
Answer: C.208%
Explanation: Explanation:
While calculation in terms of percentage we need to multiply by 100, so
2.08 * 100 = 208
Answer: Option C
Question: John takes 10 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
A.2 hours, 10 minutes
B.2 hours, 30 minutes
C.3 hours, 20 minutes
D.3 hours, 45 minutes
Answer: B.2 hours, 30 minutes
Explanation: The rate of John plus Bill is 1/10 + 1/6 = 4/15 of the job completed per hour.
If Steve worked at the same rate as John, the rate would be 4/15 + 1/10 = 11/30
The slowest possible time would be 30/11 hours = 2 hours + 8/11 hours.
If Steve worked at the same rate as Bill, the rate would be 4/15 + 1/6 = 13/30
The fastest possible time would be 30/13 hours = 2 hours + 4/13 hours.
The actual time is somewhere between these two extreme points.
The answer is B.
Question: A certain sum amounts to Rs.1550 in 2 years and Rs.1700 in 3 years. Find the rate % per annum?
A.5.67%
B.7.67%
C.6.67%
D.4.67%
Answer: C.6.67%
Explanation: 2 --- 1550
3 --- 1700
--------------
1 --- 150
N = 1 I = 150 R = ?
P = 1550 - 300= 1250
150 = (1250*1*R)/100
R = 6.67%
Answer: C
Question: If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?
A.52
B.166
C.84
D.122
Answer: B.166
Explanation: 10x = 8y = 14z
5x = 4y = 7z
5(4*7) = 4(5*7) = 7(5*4)
Addition = 28+20+35 = 83
Answer would be multiple of 83 which is 166
Answer :B
Question: A heap of grapes is divided into groups of 3, 5 and 7 and each time one coconut is left over. The least number of grapes in the heap is?
A. 31 B. 41 C. 51 D. 61
A.A)31
B.B)41
C.C)106
D.D)61
Answer: C.C)106
Explanation: LCM = 105
=> 105 + 1 = 106
ANSWER:C
Question: A picnic attracts 240 persons. There are 40 more men than women, and 40 more adults than children. How many men are at this picnic?
A.240
B.75
C.110
D.90
Answer: D.90
Explanation: Adult + Children = 240
Let, Children = y
then, Adult = y+40
i.e. y+(y+40) = 240
i.e. y = 100
i.e. Adult = 100+40 = 140
Adults include only Men and Women
i.e. Men + Women = 140
Let women, W = x
then Men, M = x+40
i.e. x+(x+40) = 2x+40 = 140
i.e. x = 54
i.e. Men, M = 54+40 = 90
Answer: Option D
Question: What is the sum E of all 3 digit numbers that leave a remainder of '2' when divided by 3?
A.897
B.164,850
C.164,749
D.149,700
Answer: B.164,850
Explanation: The series is => 101+...998
Number of terms => 300
sum => 300/2 * [101+998]
hence sum E=> 164850 i.e. option B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.s.4529
B.s.3624
C.s.4597
D.s.4530
Answer: B.s.3624
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 4
=Rs.3624
Answer: B
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
A.Rs.250
B.Rs.252
C.Rs.228
D.Rs.208
Answer: A.Rs.250
Explanation: CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250
Answer:A
Question: Plane leaves from Chelsea every 45 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
A.5:35 p.m
B.6:40p.m
C.7:35 p.m
D.8:35 p.m
Answer: B.6:40p.m
Explanation: Explanation:
Time of Frank Lampard last missed plane = 7:00 p.m - 45 min = 6:15 p.m
As this information has been given to Frank Lampard 25 minutes after the plane has already left, the air hostess gave the information at 6:15 p.m + 25 min = 6:40 p.m
Answer B
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
A.28,009
B.28,007
C.28,097
D.28,000
Answer: D.28,000
Explanation: 3:1
2:1
------
6:1
1 ----- 4000
7 ----- ? => Rs.28,000
Answer: D
Question: If 85% of 3/5 of a number is 36, then the number is?
A.80
B.100
C.70.5
D.90
Answer: C.70.5
Explanation: Let the number be x. Then 85% of 3/5 of x=36
85/100*3/5*x=36
x=(36*100/51)=70.5
Required number=70.5.
Correct Option: C
Question: x is what percent of y percent of z, in terms of x, y and z? n be the value expressed in terms of x,y and z.
A.xyz
B.10^4x/yz
C.1/xyz
D.10^3 xyz
Answer: B.10^4x/yz
Explanation: Algebraically, y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to n% of yz/100; then we have:
x = (n/100)*(yz/100)
10,000x/yz = n
B
Question: In the list 2, 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
A.3/10
B.1/3
C.2/5
D.2/3
Answer: A.3/10
Explanation: Mode: The mode of any set is the term which has the highest frequency (Occurrence)
Highest frequent term in the set is 5 (with frequency 4) hence
Mode = 5
three terms (2, 3, 4) out of a total of 10 terms are less than mode of the set.
Fraction of set that are less than Mode of set = 3/10
Answer: Option A
Question: In a murder case there are four suspects P,Q,R,S. Each of them makes a statement. They are p:
"I had gone to the theatre with S at the time of the murder".q: "I was playing cards with P at the time of the murder".r: "Q didn't commit the murder".s: "R is not the murderer".Assuming the only one of the above statement is false and that one of them is the murderer, who is the murderer?
A.P
B.Q
C.R
D.S
Answer: D.S
Explanation: According to Question,
P: (s and p in theatre)
Q:(q and p playing cards)
R: q not the murderer
S: R not the murderer
IF S is false,
P has to be in theatre with S.
P playing cards with Q.
This is Impossible.
If R is false,
P has to be in theatre with S.
P playing cards with Q.
This is Impossible.
If q is False,
S and P are in theatre.
Q and R are not murderers.
This is also impossible because one of them is the murderer.
so P is false.
Q and R are not murderers.
P playing cards.
hence our murderer is S..
ANSWER:D
Question: Three bodies X, Y and Z start moving around a circular track of length 960m from the same point simultaneously in the same direction at speeds of 12 m/s, 20 m/s and 36 m/s respectively. When will they meet for the first time after they started moving?
A.240 seconds
B.120 seconds
C.60 seconds
D.180 seconds
Answer: B.120 seconds
Explanation: If they all meet after T seconds, it means they covered the distances 12T, 20T, and 36T respectively.
Since they all arrive to the same spot, it means that the differences taken pairwise between the distances must be positive integer multiples of the length of the track, which is 960m. So, 8T, 16T, and 24T must all be multiples of 960. 8T multiple of 960 means T multiple of 120. The smallest T with this property is 120 and is on the list of answers.
Answer B.
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 62.50, his capital is?
A.24,602
B.25,000
C.24,600
D.24,628
Answer: B.25,000
Explanation: Let the capital be Rs. x. Then,
(x * 8 * 1)/100 - (x * 31/4 * 1/100) = 62.50
32x - 31x = 6250 * 4
x = 25,000.
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 900 m?
A.122.9 m
B.127.5 m.
C.191.25 m
D.222.9 m
Answer: C.191.25 m
Explanation: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 * 700)/800
= 6300/8
= 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 900 m, the number of meters by which A beats C = (900 * 212.5)/1000
= 191.25 m.
Answer:C
Question: The perimeter of a triangle is 20 cm and the inradius of the triangle is 3 cm. What is the area of the triangle?
A.22
B.30
C.77
D.54
Answer: B.30
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 3 * 20/2
= 30 cm2
Answer:B
Question: 2, 3, 4.5, 6.75, 10.12, (...)
A.60
B.60.75
C.58.11
D.15.18
Answer: D.15.18
Explanation: 2
(2Ã—3)Ã· 2 = 3
(3Ã—3)Ã· 2 = 4.5
(4.5Ã—3)Ã· 2 = 6.75
(6.75Ã—3)Ã· 2 = 10.12
(10.12Ã—3)Ã· 2 = 15.78
Answer is D
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
A.5:4
B.5:6
C.5:0
D.5:4
Answer: A.5:4
Explanation: 45 * 5/18 = 10
25:20 => 5:4
Answer: A
Question: If a rubber ball consistently bounces back ⅔ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped?
A.16/81
B.16/81
C.4/9
D.37/81
Answer: A.16/81
Explanation: Step by step solution
Each time the ball is dropped and it bounces back, it reaches ⅔ of the height it was dropped from.
After the first bounce, the ball will reach ⅔ of the height from which it was dropped - let us call it the original height.
After the second bounce, the ball will reach ⅔ of the height it would have reached after the first bounce.
So, at the end of the second bounce, the ball would have reached ⅔ * ⅔ of the original height = 4/9th of the original height.
After the third bounce, the ball will reach ⅔ of the height it would have reached after the second bounce.
So, at the end of the third bounce, the ball would have reached ⅔ * ⅔ * ⅔ = 8/27th of the original height.
After the fourth and last bounce, the ball will reach ⅔ of the height it would have reached after the third bounce.
So, at the end of the last bounce, the ball would have reached ⅔ * ⅔ * ⅔ * ⅔ of the original height = 16/81 of the original height.
The correct answer is Choice A
Question: If a company sells a car with a marked price of Rs. 5,40,000 and gives a discount of 5% on Rs. 3,00,000 and 3% on the remaining amount of Rs. 2,40,000, then the actual price charged by the company for the car is :
A.Rs.5,20,000
B.Rs.5,17,800
C.Rs.5,10,560
D.Rs.5,10,100
Answer: B.Rs.5,17,800
Explanation: Explanation :
Solution: M.P. = Rs. 5,40,000.
Discount = Rs. [(5% of 3,00,000) + (3% of 2,40,000)] = 15,000 + 7,200 = Rs. 22,200
.'. Actual price = Rs. (5,40,000 - 22,200) = Rs. 5,17,800
Answer : B
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
A.20
B.22
C.24
D.27
Answer: D.27
Explanation: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes
Answer: D.
Question: the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 10 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
A.10
B.15
C.20
D.15/2
Answer: D.15/2
Explanation: After passing the hiker the cyclist travels for 5 minutes at a rate of 10 miles/hour.
In those 5 mins the cyclist travels a distance of 5/6 miles.
In those 5 mins the hiker travels a distance of 1/2 miles.
So the hiker still has to cover 1/2 miles to meet the waiting cyclist.
The hiker will need 15/2 mins to cover the remaining 1/2 miles.
So the answer is D.
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
A.77 years
B.88 years
C.12 years
D.16 years
Answer: C.12 years
Explanation: 100 ---- 200 ---- 4
400 ---- 4
800 ---- 4
------
12 years
Answer: C
Question: The average of first five prime numbers:
A.5.6
B.11.2
C.12.9
D.6.3
Answer: A.5.6
Explanation: Explanation:
The first five prime numbers is 2, 3, 5, 7, 11
Average = 28/5 = 5.6
Answer: Option A
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 1 unit of standard deviation below the mean?
A.-35.6 degrees Celsius
B.-33.0 degrees Celsius
C.-30.4 degrees Celsius
D.-27.8 degrees Celsius
Answer: A.-35.6 degrees Celsius
Explanation: Let us suppose mean = M and SD = d.
So, we are given M - 2d = -38.2
and M + 4d = -22.6
solving both the equations, we will get M = -33 an d = 2.6
So, we need to find out M - d = -33 - 2.6 = -35.6. Hence, A
Question: Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team W. If team A's average speed was 5 mph greater than team W's, what was team W's average mph?
A.12
B.15
C.18
D.20
Answer: D.20
Explanation: This is a very specific format that has appeared in a handful of real GMAT questions, and you may wish to learn to recognize it: here we have a *fixed* distance, and we are given the difference between the times and speeds of two things that have traveled that distance. This is one of the very small number of question formats where backsolving is typically easier than solving directly, since the direct approach normally produces a quadratic equation.
Say Team W's speed was s. Then Team W's time is 300/s.
Team A's speed was then s+5, and Team A's time was then 300/(s+5).
We need to find an answer choice for s so that the time of Team A is 3 less than the time of Team W. That is, we need an answer choice so that 300/(s+5) = (300/s) - 3. You can now immediately use number properties to zero in on promising answer choices: the times in these questions will always work out to be integers, and we need to divide 300 by s, and by s+5. So we want an answer choice s which is a factor of 300, and for which s+5 is also a factor of 300. So you can rule out answers A and C immediately, since s+5 won't be a divisor of 300 in those cases (sometimes using number properties you get to the correct answer without doing any other work, but unfortunately that's not the case here). Testing the other answer choices, if you try answer D, you find the time for Team W is 15 hours, and for Team A is 12 hours, and since these differ by 3, as desired, D is correct.
Question: 10% loss on the selling price is what percent loss on the cost price?
A.9/55%
B.100/11%
C.99/110%
D.90/11%
Answer: B.100/11%
Explanation: Let S.P. = $100
Then, loss = $10
C.P. = 100+10 = $110
Loss% = 10/110 * 100 = 9 1/11% = 100/11%
Answer is B
Question: x - y = 3
2x = -2y + 18
The system of equations above has how many solutions?
A. None
B. Exactly one
C. Exactly two
D. Exactly three
Answer: B. Exactly one
Explanation: x-y=3 ---------------1
2x=-2y+18 ---------------2
Divide equation 2 by 2:
2x/2=(2y+18)/2
x=-y+3
x+y=9----------------3
Equation 1 and 3 are equal and thus have:
x-y=3
x+y=9
x=6, y=3
Ans:B
Question: If a sequence of 8 consecutive odd integers with increasing values has 1 as its 7th term, what is the sum of the terms of the sequence?
A.-48
B.-32
C.-16
D.16
Answer: B.-32
Explanation: Let x be the first term.
Then x + 12 = 1 and x = -11
The sum is: x + (x+2) +...+ (x+14) =
8x + 2(1+2+...+7) = 8x + 2(7)(8) / 2 = 8(-11) + 56 = -32
The answer is B.
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.2/455
C.1/91
D.4/455
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13) = 1/455
ANSWER:A
Question: The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $85.0 billion, a year ago. By what percent did the revenue fall?
A.20.8
B.30.4
C.43.5
D.32.5
Answer: C.43.5
Explanation: $85-$48=37$
(37/85)*100=43.5%
ANSWER:C
Question: In how many ways, a committee of 4 members can be selected from 5 men and 4 ladies, consisting of 3 men and 1 lady?
A.15
B.25
C.30
D.40
Answer: D.40
Explanation: (3 men out 5) and (1 lady out of 4) are to be chosen
Required number of ways = 5C3*4C1 = 40
Answer is D
Question: What is the difference between the C.I. on Rs. 9000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
A.s.2.04
B.s.2.08
C.s.3.67
D.s.2.83
Answer: C.s.3.67
Explanation: C.I. when interest is compounded yearly
= [9000 * (1 + 4/100) * (1 + (1/2 * 4)/100]
= 9000 * 26/25 * 51/50 = Rs. 9547.2
C.I. when interest is compounded half-yearly
= [9000 * (1 + 2/100)2]
= (9000 * 51/50 * 51/50 * 51/50)
= Rs. 9550.87 Difference
= (9550.87 - 9547.2)
= Rs.3.67.
Answer: C
Question: The arithmetic mean of set X is zero. If Y = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of X consisting of all those elements in X which are more than two but less than three standard deviations away from the arithmetic mean of X, what could be equal to the standard deviation of X?
A.0.54
B.0.77
C.0.82
D.0.97
Answer: B.0.77
Explanation: This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and Y = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of S
Y consists of all those elements in X that are more than 2 but less than 3 XDs away from the arithmetic mean of X
If an element is 1 XD away from the mean, we can write it as either m + XD or m - XD
Similarly, if an element is 2 XDs away from the mean, we can write it as either m + 2*XD or m - 2*XD
So, if these elements lie within 2 and 3 XDs of mean, m=0
we can find which one of these values of XD satisfies each value within Y
Only XD = 0.77 does
Answer : B
Question: x is a positive integer of F less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: Took me more than 2 mins to solve.
That's how I did it.
x is between 1-499 included.
Smallest number that can be written as 7n+1 (7*0+1) is 1
Largest number that can be written as 7n+1 is (7*71 +1) is 498
So there are total 72 numbers that can be written as 7n+1
Because x can also be written as 3m+2, we have to see how many numbers that can be written as 7n+1 also can be written as 3m+2
7*0+1 can not be written in the form 3m+2
7*1+1 can be written in the form 3m+2
7*2+1 can not be written in the form 3m+2
7*3+1 can not be written in the form 3m+2
7*4+1 can be written in the form 3m+2
Here we see a sequence that one out of every 4 numbers can be written as 3m+1
72/4= 24 numbers can be written as 3m+1
D is the answer
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
A.5
B.8
C.9
D.4
Answer: D.4
Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4.
Answer: D
Question: If m+5/n is a prime integer, which of the following must be true?
1.n=5m
2. n is a prime integer
3. m+5/n is ODD.
A.None
B.1 only
C.2 only
D.1 and 2 only
Answer: A.None
Explanation: I would pick up numbers and do .
i hope the question is (m+5)/n....
let m = 3 , n = 4
3+5/4 = 2 = Prime
1. n is not equal to 5m
2.n is not a prime number
3. (m+5)/n is not odd.
hence A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
A.286 m
B.899 m
C.200 m
D.166 m
Answer: C.200 m
Explanation: 2(l + 100) = 600 => l
= 200 m
Answer: C
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. If there are 30 5-rupee notes, 20-10-rupee notes, find the number of one-rupee notes.
A.180
B.150
C.130
D.200
Answer: C.130
Explanation: x+150+200=480, x=480-350=130, Ans: C
Question: The cash difference between the selling prices of an book at a profit of 4% and 8% is $3. The ratio of the two selling prices is:
A.55:23
B.26:27
C.52:53
D.45:53
Answer: B.26:27
Explanation: Let C.P. of the book be $x.
Then, required ratio = 104% of x / 108% of x
= 104/108 = 26/27 = 26:27
B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
A.2/19
B.2/19
C.2/21
D.2/97
Answer: C.2/21
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 * 2)/(15 * 14) = 1/35
Probability that both are yellow = ²C₂/¹⁵C₂ = (2 * 1)/(15 * 14) = 1/105
Probability that one blue and other is yellow = (³C₁ * ²C₁)/¹⁵C₂ = (2 * 3 * 2)/(15 * 14) = 2/35
Required probability = 1/35 + 1/105 + 2/35
= 3/35 + 1/105 = 1/35(3 + 1/3)
= 10/(3 * 35) = 2/21
Answer: C