RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If the LCM of two integers X, Y (where Y> X and X>1) is X*Y, then which of the following can not be true?
A.Both X and Y can be Prime Numbers.
B.All Prime factors of X must be Prime factors of Y.
C.Both X and Y can be consecutive integers.
D.X and Y do not share any Prime factors.
Answer: B.All Prime factors of X must be Prime factors of Y.
Explanation: If LCM of two numbers X and Y is the product XY then both numbers are Co- prime.
(Co-prime numbers are any two numbers which have an HCF of 1 i.e. when two numbers have no common prime factor apart from the number 1).
Numbers that can be Co-Prime are :
1) Two consecutive natural numbers.
2) Two consecutive odd numbers.
3) Two prime numbers.
4) One prime number and the other a composite number such that the composite number is not a multiple of the prime number.
With above four statements it can be concluded that Options A, C, D and E are all true.
Only Option B cannot be true.
Hence answer is B
Question: (3x + 2) (2x - 3) = ax^2 + kx + n . What is the value of a - n + k ?
A.5
B.7
C.9
D.10
Answer: B.7
Explanation: Expanding we have 6x^2 - 9x + 4x -6
6x^2 - 5x - 6
Taking coefficients, a = 6, k= -5, n = -6
Therefore a - n + k = 6 - (-6) - 5 = 12 - 5 = 7
The answer is B.
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3720 , R will receive
A.720
B.700
C.800
D.900
Answer: A.720
Explanation: Explanation :
Let P's capital = p, Q's capital = q and R's capital = r
Then
4p = 6q = 10r
=> 2p = 3q = 5r
=>q = 2p/3
r = 2p/5
P : Q : R = p : 2p/3 : 2p/5
= 15 : 10 : 6
R's share = 3720 * (6/31) = 120*6 = 720. Answer : Option A
Question: Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?
A.10 km/hr
B.12 km/hr
C.16 km/hr
D.20 km/hr
Answer: D.20 km/hr
Explanation: Hint: If two bodies A and B move from each other's starting point in opposite directions, they reach their destinations after having met, then their speeds Sa & Sb are given by,
Sa	/ Sb = √tb / √ta
where t is the time taken by them to cover the distance.
Sb	(25 x 4)	/ 5 = 20 km/hr
ANSWER IS D
Question: In expressing a length of 11.482 km as nearly as possible with the three significant digits, find the percentage error
A.0.157%
B.0.207%
C.0.016%
D.0.021%
Answer: A.0.157%
Explanation: Explanation:
Error = (11.5 - 11.482) = 0.018
Required percentage =
0.018/ 11.482Ã—100=0.157
Option A
Question: How can 0.1666 of 600 of 66.67 % can be written?
A.66.67
B.13.39
C.16.67
D.18.99
Answer: A.66.67
Explanation: 0.1666 = 1/6 of 600 = 100 of 66.67% = 100 of 2/3
100 * (2/3) = 66.67 ...... Ans - A
Question: In a fruit bucket total number of fruits is 99. If ratio of apple guava and mango is 17:9:7. Find the number of mangoes?
A.24
B.30
C.16
D.21
Answer: D.21
Explanation: Let the number of apple guava and mangoes are 17x, 9x, 7x
17x+9x+7x = 99
33x = 99
x = 3
Number of mangoes are = 3*7 = 21
Answer : D
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -5 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
A.-5,-5,-5
B.-5,5,5
C.1,1,1
D.-5,25,5
Answer: D.-5,25,5
Explanation: Mean: If all values are multiplied by -5 then their sum will also be multiplied by -5 so Mean will also get -5
Variance:
Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values
When we multiply all the values by -5 then the difference between the mean and the individual values also gets multiplied by -5 and the square of that difference becomes 25. So, the variance gets multiplied by a factor of 25
SD:
Standard Deviation is the square root of variance so sqrt(25)=5. So SD gets multiplied by a factor of 5.
So, answer will be D.
Question: Which of the following equations has a solution in common with x^2 - 2x - 15 = 0?
A.x^2 - 6x + 9 = 0
B.x^2 + 2x - 15 = 0
C.2x^2 + 9x + 9 = 0
D.2x^2 + x - 3 = 0
Answer: C.2x^2 + 9x + 9 = 0
Explanation: Given : x^2 - 2x - 15 => (x+3) (x-5) = 0 => 5 and -3 are the roots..
A. x^2 - 6x + 9 = 0 => (x-3) (x-3)
B. x^2 + 2x - 15 = 0 => (x+5) ( x-3)
C. 2 x^2 + 9x + 9 = 0 => (x+3) ( 2x+3)
D. 2 x^2 + x - 3 = 0 => (x-1) (2x+3).... no eq has same roots as per the parent eq..
Answer: C is correct answer
Question: A man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. How many days would it take for him to come out of the well?
A.22
B.46
C.17
D.27
Answer: D.27
Explanation: D
I will take 27 days to come out of that well for that man,
He climbs 4 meter every day and slips 3 meter down that means he climbs 1 meter in total each day, so like this on 26th day he would have climbed 26 meter and on 27th day he will climb 4 meeter again so total 30 meter he will climb in 27 days.
Question: If a set consists of all positive digits less than or equal to 3 and of the squares of those digits, what is the mode of the set?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: let set X= {1, 1.5, 2, 2.5, 3}
Set in question consists of even the squares of the digits contained in set X.
Hence required set = { 1, 1, 1.5, 2, 2.25, 2.5, 3, 4, 6.25, 9}
Mode of set= 1
ANSWER:A
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 5:8. What is the ratio of the smaller number to the larger number?
A.1:8
B.1:6
C.1:5
D.1:4
Answer: D.1:4
Explanation: For two numbers, the arithmetic mean is the middle of the two numbers.
The ratio of the mean to the larger number is 5:8, thus the smaller number must have a ratio of 2.
The ratio of the smaller number to the larger number is 2:8 = 1:4.
The answer is D.
Question: 15 litres of mixture contains 20% alcohol and the rest water. If 5litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
A.16.67%
B.23%
C.15%
D.19.75%
Answer: C.15%
Explanation: Alcohol in the 15litres of mix. = 20% of 15litres = (20*15/100) = 3litres
water in it = 15-3 = 12litres
new quantity of mix. = 15+5 = 20 litres
Quantity of alcohol in it = 3litres
Percentage of alcohol in new mix. = 3*100/20 = 15%
Answer is C
Question: Debbie had 5 1/2 yards of ribbon. She cut it into pieces that were each 1 1/2 yard long. How
many inches long is the leftover piece? Note that the fraction that indicates the leftover piece is a
fraction of a piece, not a fraction of the original amount.
A.22 inches
B.36 inches
C.48 inches
D.37 inches
Answer: B.36 inches
Explanation: 5 1/2 ÷ 1 1/2 = 11/2 x 2/3 = 22/6 =
3 4/6 = 3 2/3 pieces
1 1/2 yds. x 36 in. = 54 in. length of one piece
2/3 x 54 = 36 in. length of left over piece
correct answer B
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 9,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
A.1250
B.2,079
C.2,200
D.2,250
Answer: A.1250
Explanation: 24600/12=2050
2050*5=10250
10250-9000=1250
Answer A
Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 60 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
A.20
B.30
C.40
D.10
Answer: A.20
Explanation: Machine B produces 100 part in 60 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in 60/2=30 minutes.
Now, Machine A produces 100 parts in 30 minutes which is 100/30 = 10/3 parts/minute.
10/3 parts X a total of 6 minutes = 20
A
Question: Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24000, how much amount per month would he have spent on clothes and transport?
A.2000
B.8076
C.9691.2
D.4845.6
Answer: A.2000
Explanation: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month
∵ Amount, spent on clothes and transport
= 24000⁄12 = 2000
Answer A
Question: Which of the following cannot be the sum of 3 different prime numbers?
A.10
B.13
C.14
D.15
Answer: B.13
Explanation: Since the options given here are small, we can try the brute fore method.
Option A: 10 = 2+3+5. Sum of 3 different prime numbers.
Option B: 13. This cannot be expressed as a sum of 3 different prime numbers
Option C: 14 = 2 + 5 + 7. Sum of 3 different prime numbers
Option D: 15 = 3 + 5 + 7. Sum of 3 different prime numbers
Option E: 19 = 3 + 5 + 11. Sum of 3 different prime numbers
Correct Option: B
Question: A merchant purchased a jacket for $90 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
A.$0
B.$3
C.$6
D.$12
Answer: C.$6
Explanation: Let selling price = x
So, x = 90 + 25x/100
Calculating above, x = 120
Selling price = 120
20% Discount on Selling price = 96
So, profit = 96-90 = 6 Answer = C
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $50,000 annual budget is dedicated to clothes and shoes?
A.$7,500
B.$3,000
C.$4,500
D.$5,000
Answer: A.$7,500
Explanation: Given for clothes and shoes” takes up 54° of the circular chart.
Then clothes and shoes = 54/360 * 50000.
=> 7500.
IMO option A is correct answer...
Question: A cube has a volume of 343 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
A.24
B.48
C.64
D.2744
Answer: D.2744
Explanation: Volume = 343 = side^3
i.e. Side of Cube = 7
New Cube has dimensions 14, 14, and 14 as all sides are twice of teh side of first cube
Volume = 14*14*14 = 2744 square feet
Answer: option D
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
A.10
B.12
C.15
D.16
Answer: B.12
Explanation: Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
B
Question: Given that A and B are events such that
X(A)= 0.25
X(B)=0.5
X(AnB)=0.5
find X (A|B) and X(A|B)
A.1/2
B.1/3
C.3/2
D.1/5
Answer: A.1/2
Explanation: Here, A and B are events
X(A|B) = X(AnB)/X(B) = 0.5/0.5 = 1
X(A|B) = X(AnB)/X(A) = 0.5/0.25 = 1/2.
Answer is A
Question: 3/4 of a number is 19 less than the original number. The number is ?
A.84
B.64
C.76
D.72
Answer: C.76
Explanation: Answer
Let the original number be N.
So from question N - 3N/4 = 19
⇒ 4N - 3N = 76
∴ N = 76
Option: C
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
A.8, 20, 28
B.16 years, 28 years, 36 years
C.20, 35, 45
D.20, 35, 48
Answer: B.16 years, 28 years, 36 years
Explanation: Let the present ages are 4x, 7x, 9x.
=> (4x-8) + (7x-8) + (9x-8) = 56
=> 20x = 80
=> x = 4
So their present ages are : 16,28,36
ANSWER:B
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 12 years?
A.30
B.32
C.40
D.50
Answer: B.32
Explanation: Explanation :
(A + B), five years ago = (15 * 2) = 30 years.
(A+B), now = (30+5*2)years=40 years.
(A + B + C), now = (20 x 3) years =60 years.
C, now = (60 - 40) years = 20 years.
C, after 12 years = (20 + 12) years =32 years.
Answer : B
Question: A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.24 days
B.60 days
C.86 days
D.45 days
Answer: B.60 days
Explanation: 10/20 + 10/30 + 10/x = 1
x = 60 days
Answer:B
Question: Which of the following lines has x-intercept and y-intercept that are integers T?
A.y=3x+1
B.y=√x+1
C.y=-2/x
D.y=x^2-1
Answer: D.y=x^2-1
Explanation: Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers T and the correct answer is D.
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 10 were to be added to each score, which of these three statistics would change?
A.The mean only
B.The median only
C.The mean and the median
D.The standard deviation only
Answer: C.The mean and the median
Explanation: The correct answer is C.
Question: sahar travels the first 7 hours of his journey at 50 mph speed and the remaining 8 hours at 40 mph speed. What is the average speed of sahar's travel in mph?
A.44.3 mph
B.44.6 mph
C.44.9 mph
D.44.1 mph
Answer: B.44.6 mph
Explanation: Explanation :
Average speed=Total Distance/Time.
Total distance travelled by sahar = Distance covered in the first 7 hours + Distance covered in the next 8 hours.
Distance covered in the first 7 hours = 7Ã—50=350 miles
Distance covered in the next 8 hours= 8Ã—40=320 miles
Therefore, total distance travelled = 350+320=670 miles.
The total time taken = 7+8=15hours.
Hence, the average speed =670/15= 44.6 mph.
Answer : B
Question: When she chooses a password, Eloise
always uses exactly ten different
characters: five letters (A, B, C, D, and E)
and five numbers (2, 3, 4, 5, and 6).
Additionally, she always ensures that no
pair of letters is consecutive and that no
pair of numbers is consecutive. How many
different passwords conform to these rules?
A.fewer than 1,000
B.between 1,000 and 10,000
C.between 10,000 and 100,000
D.between 100,000 and 1,000,000
Answer: C.between 10,000 and 100,000
Explanation: The first character of the password can be any letter or number, so Eloise has ten
options. Her second choice must be from the set (letter or number) not yet used, so she
has five options. Choice 3 is from the same set as Choice 1, and she has four options left.
Choice 4 is the second item from the same set as Choice 2, so she has four options.
Choices 5 and 6 are from different sets, each with three options; Choices 7 and 8 are from
different sets, each with two options; Choices 9 and 10 are from different sets, each with
only one option remaining. You can see this information in the following chart:
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
10 5 4 4 3 3 2 2 1 1
To find the total number of possible passwords, multiply these numbers together:
10 × 5 × 4 × 4 × 3 × 3 × 2 × 2 × 1 × 1 = 28,800
correct anser C)between 10,000 and 100,000
Question: At 10 am 2 trains started travelling towards each other from station 287 miles apart they passed each other at 1:30 pmthe same dayy .if average speed of the faster train exceeded by 6 miles /hr what is speed of faster train in miles/hr
A.42
B.43
C.44
D.45
Answer: C.44
Explanation: let the speed of slower train is x
then speed of faster train is=x+6
now, 287/x+x+6=7/2(3 and half hour)
after solving the equation we will get x=38
so faster train=x+6
38+6=44
ANSWER:C
Question: The banker's discount on Rs.1150 due a certain time hence is Rs.115. Find the true discount and the banker's gain.
A.10
B.15
C.18
D.21
Answer: B.15
Explanation: Solution
Sum	=B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G	=Sum / B.D
= 1650 / 165
= 10 / 1
If B.D is Rs. 11,T.D= Rs.10.
If B.D is Rs.165,
T.D	= Rs.(10 / 11 x 165)
= Rs.150.
And, B.G	= Rs(165 - 150)
= Rs.15.
Answer B
Question: In the Lakeside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
A.50.
B.45.
C.40.
D.30.
Answer: A.50.
Explanation: Given there are 50 students In the Lakeside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
Question: In what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.6 sec
B.7 sec
C.8 sec
D.11 sec
Answer: D.11 sec
Explanation: T = 110/36 * 18/5
= 11 sec
Answer:D
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6700?
A.s. 4991
B.s. 5991
C.s. 6001
D.s. 6191
Answer: D.s. 6191
Explanation: total fr 5 mnths=(6435+6927+6855+7230+6562)=Rs34009.
Reqd.sale=Rs.[(6700*6)-34009]
= Rs.(40200-34009)
= Rs.6191.
ANSWER:D
Question: 60% of male in a town and 70% of female in a town are eligible to vote. out of which 70% of male and 60% of female who are eligible to vote voted for candidate A. what is the value of votes in % did A get?
A.22
B.221
C.288
D.2212
Answer: B.221
Explanation: Let the ratio of men and women are 100 : k
Male eligible votes = 60 and female eligible votes = 70% (k)
Number of males who voted for A = 70% (60) = 42
Number of females who voted for A = 60%(70% (K) = 42% (k)
Percentage of votes got by A = 42+42100(K)60+70100(K)×100=4200+42K6000+70K×10042+42100(K)60+70100(K)×100=4200+42K6000+70K×100
So this value cannot be determined as the value of K is not known
Answer:	B
Question: What is the maximum number T of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
A.36
B.32
C.24
D.21
Answer: C.24
Explanation: 27 cubic centimetre cubes gives side = 3cm
so if:
L*W*H is 9*12*8, then max. cube we can have are 3*4*2 = 24
L*W*H is 9*8*12, then max. cube we can have are 3*2*4 = 24
L*W*H is 12*8*9, then max. cube we can have are 4*2*3 = 24
L*W*H is 12*9*8, then max. cube we can have are 4*3*2 = 24
L*W*H is 8*12*9, then max. cube we can have are 2*4*3 = 24
L*W*H is 8*9*12, then max. cube we can have are 2*3*4 = 24
In all cases we get T=24 cubes.
Ans. C
Question: Find the simple interest on Rs.750 for 9 months at 6 paisa per month?
A.Rs.415
B.Rs.405
C.Rs.450
D.Rs.345
Answer: B.Rs.405
Explanation: Explanation:
I = (750*9*6)/100 = 405
Answer: Option B
Question: One-fourth of a number is greater than one-fifth of the number succeeding it by 1. Find the number.
A.24
B.42
C.36
D.48
Answer: A.24
Explanation: number is 24
as 1/4 th of 24= 6
1/5 th of 25(24+1) =5
6=5+1
ANSWER:A
Question: If .002^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: 0.002^5= (2*10^-3)^5 = 32*10^-15 = 0.32*10^-13 which would have 13 zeros to the right of the decimal point. The answer is D.
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.8,302 for a cell phone, then what was the cost price of the cell phone?
A.Rs.5,845
B.Rs.6,750
C.Rs.5,700
D.Rs.6,925
Answer: B.Rs.6,750
Explanation: Explanation:
123% of CP =SP
Therefore, CP = Rs.8,302x100/123 = Rs.6750
Answer: Option B
Question: If (x/y)=(10/5), find the value (x^2+y^2)/(x^2-y^2)
A.5/3
B.59/11
C.51/77
D.41/11
Answer: A.5/3
Explanation: = (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(10/5)^2+1] / [(10/5)^2-1]
= [(100/25)+1] / [(100/25)-1] = 5/3
Answer is A.
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
A.2517
B.2527
C.2607
D.2506
Answer: D.2506
Explanation: 358/179 ….. 895/179
179(2 + 3 + 4 + 5) => 2506
ANSWER:D
Question: Define w* by the equation w* = π-w. Then ((−π)*)* =
A. −2π
B. -1
C. −π
D. 2π
Answer: C. −π
Explanation: for w* f(f(−π)) = f(π − (−π)) = f(π + π) = f(2π) = π − 2π = −π=C
Question: A palindrome is a number that reads the same forward and backward, such as 145. How many odd, 4-digit numbers are palindromes?
A.40
B.45
C.80
D.90
Answer: C.80
Explanation: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc
You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.
Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.
In how many ways can you pick two digits such that the first one is an odd digit?
The first digit can be selected in 5 ways.(1/3/5/7/9)
The second digit can be selected in 10 ways.(0/1/2/3...8/9)
Total = 5*16 = 80 ways
C
Question: The cost of the paint is rs.30 per kg. if 1kg of paint covers 18sq.ft, how much will it cost to paint outside of a cube having 6 feet each side
A.Rs.962
B.Rs.672
C.Rs.540
D.Rs.876
Answer: C.Rs.540
Explanation: Explanation:
surface area of a cube= 6 x 6^2 = 216 sq.ft
quantity of paint required=(216/18)=12kg
cost of painting= 30 x 18 = Rs.540
Answer: C
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
A.8
B.7
C.6
D.5
Answer: C.6
Explanation: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.
Distance traveled = 12/5 * 5 = 12 km.
Distance between house and school = 12/2 = 6 km.'
Answer: C
Question: A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
A.430
B.440
C.450
D.460
Answer: C.450
Explanation: We're given a series of facts to work with:
1) A certain high school has 500 students.
2) Of these students:
X are taking music,
Y are taking art, and
Z are taking BOTH music and art.
We're asked how many students are taking NEITHER music nor art?
Let's TEST
X = 40
Y = 20
Z = 10
So, we have 40 students taking music, 20 taking art and 10 taking BOTH music and art.
30 student taking JUST music
10 student taking JUST art
10 student taking BOTH music and art
Total = 50 students
We're asked for the total number of students who are taking NEITHER Course. That is 500 - 50 = 450.
C
Question: A man on tour travels first 100 km at 64 km/hr and the next 100 km at 80 km/hr. Find the average speed for first 200 km of tour.
A.50.11 km/hr
B.51.11 km/hr
C.52.11 km/hr
D.58.00 km/hr
Answer: D.58.00 km/hr
Explanation: Explanation:
We know Time = Distance/speed
So total time taken =
(100/60+100/80)=35/12hours
Time taken for 200 Km = 200∗35/12=58.00km/hr
Option D
Question: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
A.9
B.8
C.5
D.6
Answer: A.9
Explanation: Explanation:
(700 â€“ 300)/42 = 9 22/42 => 9 Numbers
Answer:A
Question: An article is bought for Rs.575 and sold for Rs.675, find the gain percent?
A.17.39%
B.33 1/6%
C.33 1/3%
D.38 1/3%
Answer: A.17.39%
Explanation: 575 ---- 100
100 ---- ? => 17.39%
Answer:A
Question: Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
A.30 minutes
B.40 min
C.50 minutes
D.60 minutes
Answer: B.40 min
Explanation: Solution:
Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.
Thirty Minutes + Fifteen minutes = Forty Minutes
Answer B