RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: On the x y plane, there are 8 points of which 4 are collinear. How many straight lines can be formed by joining any 2 points from the 8 points ?
A.28
B.22
C.20
D.23
Answer: D.23
Explanation: Each line is defined by two points.
4 points are collinear => 1 line passes through those.
Now each of those points form 5 line => 4 lines with the "out" points and 1 line is the common one
but this is counted (the common) so we just add 4(point)*4(lines)=16 to the sum.
Finally the 4 points "out" of the common line form 4C2 = 6 different lines
1+16+6=23 totals	ANS:D
Question: The average runs of ten batsmen is 25. If three players whose marks are 3,8 and 4 are removed , then find the approximate average runs of the remaining players.
A.28
B.34
C.55
D.29
Answer: B.34
Explanation: Exp. Total runs of 10 players = 25*10 = 250,
Total runs after the removal of 3 players = 250 –(3 + 8 + 4)
= 250 – 15 = 235
Approximate average runs = 235/(10-3) = 235/ 7 = 34
Answer: B
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A.338
B.237
C.197
D.285
Answer: D.285
Explanation: Explanation:
Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs. 285.
Answer: D
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
A.240
B.88
C.77
D.266
Answer: A.240
Explanation: (3*8 + 2*4):(4*8 + 5*4)
8:13
8/21 * 630 = 240.
Answer: A
Question: You collect pens. Suppose you start out with 7. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
A.39
B.40
C.41
D.42
Answer: A.39
Explanation: Solution
Start with 7 pens.
Mike gives you 22 pens: 7 + 22 = 29 pens.
Cindy doubles the number of pens you have: 29 × 2 = 58 pens.
Sharon takes 19 pens from you: 58 - 19 = 39 pens.
So you have 39 at the end.
Correct answer: A
Question: A drum contains 4 red balls, 3 blue balls and 2 white balls. Three balls are removed (no replacement) what is the probability that there will be one of each?
A.22
B.21
C.24
D.25
Answer: B.21
Explanation: 4*3*2 / 9*8*7.
There is a 4/9 chance of taking a red ball first; if you do, ther'es a 3/8 chance of taking a blue ball next, and if you get that far, there's a 2/7 chance of getting a white ball third.
Or you might get white first, blue second and red third: 2/9, followed by 3/8 and then 4/7. No matter what order it might occur, the multiplication will always be (4*3*2)/(9*8*7).
Since 4*2 = 8 and 3 is a factor of 9, you can cancel out the entire top row to leave 1 / (3*1*7) ie. 1 chance in 21.
answer B
Question: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$204
B.$231
C.$156
D.$145
Answer: D.$145
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 145.
So after completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
Question: Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :
A.19 years
B.17 years
C.15 years
D.data inadequate
Answer: D.data inadequate
Explanation: Explanation:
Let Meena’s age = A.
Then Sivagami’s age = A + 2
After 6 years the total of their ages will be 7 times of what?
Not clear.
So the given data are inadequate. Answer: D
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the sum and the number if the ratio between the digits of the number is 1:2 ?
A.6
B.8
C.10
D.14
Answer: B.8
Explanation: Let the number be xy.
Given xy – yx = 36.
This means the number is greater is than the number got on reversing the digits.
This shows that the ten’s digit x > unit digit y.
Also given ratio between digits is 1 : 2 => x = 2y
(10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.
Hence, (x + y) – (x – y) = 3y – y = 2y = 8
B
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 25%?
A.37.5%
B.37.6%
C.38.5%
D.17.1%
Answer: D.17.1%
Explanation: Let marked price = Rs. 100.
Then, C.P. = RS. 64, S.P. = Rs. 75
Gain % = 11/64 * 100 = 17.1%.
Answer: D
Question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
A.16/20
B.9/10
C.2/5
D.3/5
Answer: B.9/10
Explanation: P(at least one green) = 1 - P(no green, so 2 yellow) = 1- 2/5*1/4 = 9/10.
Answer: B.
Question: The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
A.114
B.116
C.118
D.119
Answer: D.119
Explanation: 1/2bh=1/2(2a+3)(2a+6)
Now 4a-5=2a+6
2a=11
Therefore,
A(0,0); B(0,17); C(14,17)
1/2*14*17=119
Answer: D
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is?
A.11 runs
B.27 runs
C.48 runs
D.28 runs
Answer: C.48 runs
Explanation: Let average for 10 innings be x. Then,
(10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42.
New average = (x + 6) = 48 runs.
Answer: C
Question: The average of five numbers id 27. If one number is excluded,the average becomes 25. The excluded number is
A.25
B.27
C.30
D.35
Answer: D.35
Explanation: given x/5=27 so x=135 and y/4=25 so y=100. excluded no is x-y=135-100=35.
ANSWER:D
Question: Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
A.3:19
B.3:10
C.3:16
D.3:11
Answer: B.3:10
Explanation: Let the monthly incomes of Amar and Bhavan be 6x and 5x respectively.
Let the monthly expenditures of Amar and Bhavan be 3y and 2y respectively.
Savings of Bhavan every month = 1/4 (5x)
=(his income) - (his expenditure) = 5x - 2y
=> 5x = 20x - 8y => y = 15x/8
Ratio of savings of Amar and Bhavan
= 6x - 3y : 1/4 (5x) = 6x - 3(15x/8) : 5x/4
= 3x/8 : 5x/4 => 3:10
Answer: B
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
A.(1/3)
B.(1/8)
C.(2/8)
D.(1/16)
Answer: B.(1/8)
Explanation: Explanation: This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
Answer: Option B
Question: If x/(11p) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
A.22
B.33
C.44
D.66
Answer: D.66
Explanation: x/(11p) = odd prime number
x = odd prime number * 11p
Least value of x = Lowest odd prime number * 11 * Lowest value of p
= 3 * 11* 2 = 66
Answer D
Question: Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A.2.2
B.8.2
C.2.9
D.2.1
Answer: C.2.9
Explanation: xz = y2 10(0.48z) = 10(2 x 0.70) = 101.40
0.48z = 1.40
z =	140	=	35	= 2.9 (approx.)
48	12
Answer: C
Question: The sum of two numbers is 65. Their difference is 5. The bigger number is
A.20
B.25
C.30
D.35
Answer: D.35
Explanation: X + Y = 65
X - Y = 5
Adding 2X = 70 ==> X = 35 and Y = 65 - 35 = 30
Bigger number is X = 35
Answer D.
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
A.150
B.189
C.177
D.167
Answer: A.150
Explanation: (60/100) * X – 40 = 50
6X = 900
X = 150
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
A.3/41
B.2/41
C.9/42
D.3/37
Answer: C.9/42
Explanation: The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.
Hence, probability that second toy shows the even number,
=920=920
Required probability,
=(1021)×(920)=(1021)×(920)
=9/42
C
Question: √4 percent of 4√4 =
A.0.16
B.0.17
C.0.18
D.0.2
Answer: A.0.16
Explanation: √4 = 2
So, √4 percent of 4√4 = 2 percent of (4)(2)
= (2/100)(8)
= 16/100
= 0.16
Answer:
A
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
A.80
B.190
C.132
D.170
Answer: C.132
Explanation: C
132
Sum = (n x n) + n
Hence,11 x 11 = 121 + 11 = 132
Question: The length of a rectangle is 2 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
A.50 square inches
B.75 square inches
C.68 square inches
D.89 square inches
Answer: A.50 square inches
Explanation: If the width is 5 in and the length is 2 times the width, then the length is
2 * 5 = 10 in
The area is given by
5 * 10 = 50 square inches
correct answer A
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
A.70 kg
B.75 kg
C.80 kg
D.85 kg
Answer: D.85 kg
Explanation: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg. Answer: D
Question: If (a – b) is 11 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
A.6
B.2
C.3
D.4
Answer: D.4
Explanation: (a – b) – (c + d) = 11 and (c – d) – (a + b) = 3
=> (a – c) – (b + d) = 11 and (c – a) – (b + d) = 3
=> (b + d) = (a – c) – 11 and (b + d) = (c – a) – 3
=> (a – c) – 11 = (c – a) – 3 => 2(a – c) = 8 => (a – c) = 4
ANSWER:D
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a40 is equal to ?
A.a. 5*2^99-6
B.b. 5*2^99+6
C.c. 6*2^99+5
D.d. 6*2^39- 5
Answer: D.d. 6*2^39- 5
Explanation: Here is my solution:
an+1=2an+5............(1)
lets ADD 5 to both sides....
so (an+1) + 5= 2 (an+5)....................taking 2 as common factor
now a1=1. so for n=1, an+5=6.......
putting n=1. we get both sides as,
a2 + 5= 2 * 6 ..............as ( an+5=6 .......(for n=1)..)
a2= 2 *6 - 5
a2= 2 * 2 *3 - 5
a2= 2^2 *3 - 5................. so with same progression
a40= 2^40 * 3 - 5
a40=2 * 2^39 * 3 - 5
a40= 6 * 2^39 - 5
D
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
A.36.5
B.21.4
C.19.5
D.18.2
Answer: A.36.5
Explanation: Explanation:
Correct sum = (36 * 50 + 48 - 23) = 1825.
Correct mean = 1825/50 = 36.5
Option A
Question: he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4. What is the capacity of the tank?
A.360 liters
B.256
C.48
D.525
Answer: C.48
Explanation: 4x=3(x+4),where x may be number of times 4l bucket is used.
4x=3(x+4)-->1.
x=12,
substitute x to lhs or rhs of 1,which
gets you the capacity,and it is 48.
ANSWER:C
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
A.1
B.3
C.5
D.2
Answer: D.2
Explanation: Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2.
Thus, when 2n is divided by 4, the remainder is 2.
ANSWER D
Question: A bicyclist's wheel has a circumference of 8 meters. if the bicyclist covers 160 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.
To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt. =160/8*5 =4
Answer (C)
Question: What is the tens digit of 36^30?
A.1
B.7
C.5
D.3
Answer: B.7
Explanation: 36^10 = 6^20
(6^2)=6*6 = 36
(6^3)= 36*6 = .16
(6^4)= .16*6 = ..96
(6^5) = ..96*6 = ..76
(6^6) = ..76*6 = ...56
(6^7) = ....56*6 = ....36
If you see there is a pattern here in tens digits 3,1,9,7,5,3,1 and so on...
Continue the pattern up to 6^30 ( dont actually calculate full values) and answer is B: 7
Question: . If A is 35% greater than B then how much percentage is B smaller than A?
A.16 2/3%
B.18 2/3%
C.16%
D.17%
Answer: A.16 2/3%
Explanation: Explanation:
A = 120
B = 100
A-B/A * 100 = 20/120 * 100 = 2000/120 % = 200/12 % = 16 2/3%
Smaller than A
Answer: Option A
Question: Which of the following could be the sides of an obtuse angled triangle?
I. 51, 29, 100
II. 10,110, 60
III. 40 ,20 70
A.I and III only
B.II only
C.III only
D.I and II only
Answer: D.I and II only
Explanation: obtuse angled triangle means one angle more than 90 deg and total 180 deg.. I and II only
HENCE, (D)
Question: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
A.Rs. 1640
B.Rs. 2500
C.Rs. 2160
D.Rs. 3000
Answer: C.Rs. 2160
Explanation: Explanation:
=> 60x5 : 36x6 : 75x3
=> 100 : 72 : 75
=> 72/247 x 7410 = Rs. 2160
ANSWER IS C
Question: 5 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
A.4
B.6
C.16
D.24
Answer: D.24
Explanation: it is like a circular arrangement.
total ways for n people to arrange in a circle is = factorial (n-1)
in this case n= 5
hence ans = 4 factorial = 24
hence D
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.430 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
A.400
B.465
C.430
D.450
Answer: B.465
Explanation: Let no. of non- officers be x
15 * 430 + x * 110 = (x + 15) 120
x = 465
B
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund ?
A.80000
B.60000
C.50000
D.72000
Answer: D.72000
Explanation: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (180000 - x) respectively. Then,
=1/3 x = 1/2 (180000 - x)
=x/3 + x/2 = 90000
=5x/6 = 90000
=x = 90000 x 6 /5	= 108000
Savings in Public Provident Fund = Rs. (180000 - 108000) = Rs. 72000
Answer is D.
Question: A rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
A.44ft
B.88ft
C.74ft
D.11ft
Answer: C.74ft
Explanation: Given that length and area, so we can find the breadth.
Length x Breadth = Area
40 x Breadth = 680
Breadth = 17 feet
Area to be fenced = 2B + L = 2 (17) + 40 = 74 feet
Answer: C) 74ft
Question: In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $28,000, by how much will the property tax increase?
A. $800
B. $1000
C. $600
D. $400
Answer: A. $800
Explanation: Increase in house value = $28,000 - $20,000 =$8000
So, tax increase = 10% of$8000=$800
Answer: A
Question: a natural numbr has exactly 10 divisors including 1 and itself.how many distint prime factors this natural numbr will have?
A.1 or2
B.1 or3
C.1 or 2or 3
D.2 or 3
Answer: A.1 or2
Explanation: Here it is given that the number has exactly 10 divisor including 1 and itself.
So the number may be (any one prime factors)power 9 .....I.e (2)pow 9, (3)pow 9....etc.total 10 factor=(9+1)=10.
Also the number may be as (any one prime factors)pow 1*(any one prime factors)pow 4........I.e...(2)pow 1*(3)pow 4...etc= total 10 factor((1+1)*(4+1))=10.
Hence either 1 or 2 is correct
ANSWER:A
Question: Of 70 players on a football team, 40 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
A.60
B.59
C.63
D.71
Answer: A.60
Explanation: Total = 70
Thrower = 40
Rest = 70 - 40 = 30
Left Handed = 30/3 = 10
Right handed = 20
If all Thrower are right handed then total right handed is 40 + 20 = 60
so A. 60 is the right answer
Question: It takes Joey the postman 1 hours to run a 1 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
A.1.67
B.12
C.13
D.14
Answer: A.1.67
Explanation: let his speed for one half of the journey be 3 miles an hour
let the other half be x miles an hour
now,
avg speed =5 mile an hour
2*1*x/1+x=5
2x=5x+5=>3x=5=5/3=1.67
A
Question: A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?
A.87
B.29
C.40
D.77
Answer: C.40
Explanation: Explanation:
The average speed ‘v’, when a man travels two same distance with different speeds ‘v1’ and ‘v2’ is:
v = (2*v1*v2) / (v1 + v2)
In the above problem, v1 = 30 and v2 = 60
Therefore, v = (2*30*60)/(30 + 60) = 3600/90
v = 40
ANSWER:C
Question: Find the remainder of the division (3^14)/4.
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: Find the pattern of the remainders after each power:
(3^1)/4 remainder 3
(3^2)/4 remainder 1 -->this is where the cycle ends
(3^3)/4 remainder 3 -->this is where the cycle begins again
(3^4)/4 remainder 1
Continuing the pattern to (3^14)/4 gives us a remainder of 1
Final Answer:
A) 1
Question: The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?
A.18:20
B.10:9
C.2:5
D.5:2
Answer: A.18:20
Explanation: Let price of Lemons be 30 ( since that is common )
So, Price of Oranges = 20 & Price of Lemons is = 30
Further price of Grapefruit will be 6*3 = 18
Thus price, of grapefruit to oranges = 18 : 20
ANSWER:A
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 2 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
A.24
B.44
C.58
D.69
Answer: D.69
Explanation: She walked 18 miles on the first day, walking 2 miles per hour i.e. total time of walk on Day-1 = 18/2 = 9 Hours
Second day time of walk = 9-1 = 8 hours and Speed = 2+1=3 miles per hour i.e. Distance walked on second day = 8*3 = 24 miles
Third day time of walk = 9 hours and Speed = 3 miles per hour i.e. Distance walked on second day = 9*3 = 27 miles
Total Distance travelled on three days = 18+24+27 = 69
Answer: Option D
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.22
B.13
C.88
D.77
Answer: B.13
Explanation: Explanation:
Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
\inline {\color{Blue} \left.\begin{matrix} persons &30:39 \\ working\; hours/day & 6:5 \end{matrix}\right\}::12:x}
\inline {\color{Blue} \therefore } 30 x 6 x x = 39 x 5 x 12
=> x= \inline {\color{Blue}\frac{39\times 5\times 12}{30\times 6}}
=> x= 13
Answer: B) 13
Question: Jacob purchased a TV set for $ 12500 after getting a discount of 20% on the labelled price. He spent $ 125 on transport and $ 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A.14900
B.12900
C.15400
D.17600
Answer: D.17600
Explanation: D
17600
Price at which the TV set is bought = $ 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = $ 15625
The total amount spent on transport and installation = 125 + 250 = $ 375\Total price of TV set = 15625 + 375 = $ 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = $ 17600
Question: rahul played weel in this season.his current batting averagge is 51.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
A.8
B.10
C.9
D.6
Answer: A.8
Explanation: 51x+78=54(x+1)
=>3x=24
=>x=8
ANSWER:A
Question: What approximate value should come in place of the question mark (?) in the following equation?
35% of 1478 + 29% of 3214 = ?
A.1600
B.1250
C.1300
D.1450
Answer: D.1450
Explanation: ? = 35% of 1478 + 29% of 3214
≈ 35% of (1500 – 22) + (30% – 1%) of 3200
≈ 35 × 15 – 8 + 30 × 32 – 32
= 525 + 960 – 40 = 525 + 920
= 1445 ≈ 1450
Answer D
Question: The average (arithmetic mean) of 4 positive integers is 30. If the average of 2 of these integers is 15, what is the greatest possible value that one of the other 2 integers can have?
A.55
B.89
C.100
D.109
Answer: B.89
Explanation: a + b + c + d = 120
a + b = 30
c + d = 90
Greatest possible = 89 (Just less than 1)
Answer = B
Question: The population of a town is 10000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
A.6400
B.4500
C.5120
D.5230
Answer: A.6400
Explanation: 10000 × 80/100 × 80/100 = 6400
Answer : A
Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes ?
A.1/2
B.7/8
C.1/4
D.1/8
Answer: A.1/2
Explanation: Left After 1st stroke = 1/2
So removed = 1- 1/2 = 1/2
Question: The maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
A.90
B.60
C.30
D.1911
Answer: C.30
Explanation: Solution
Required number of student = H.C.F of 2010 and 1050 = 30. Answer C
Question: The average of temperatures at noontime from Monday to Friday is 25; the lowest one is 15, what is the possible maximum range of the temperatures?
A.20
B.25
C.50
D.45
Answer: C.50
Explanation: Average=25, Sum of temperatures=25*5=125
As the min temperature is 15, max would be 125-4*15=65 --> The range=65(max)-15(min)=50
Answer: C
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
A.25/42
B.25/46
C.25/41
D.25/49
Answer: A.25/42
Explanation: Total fruits = 9
Since there must be at least two apples,
(⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃ = 25/42.
Answer:A
Question: What is the total number of integers between 111 and 222 that are divisible by 9?
A.12
B.10
C.11
D.14
Answer: A.12
Explanation: 117, 126, 135, ..., 207,216
This is an equally spaced list; you can use the formula:
n = (largest - smallest) / ('space') + 1 = (216 - 117) / (9) + 1 = 99/9+ 1 = 11 + 1 = 12
Answer is A
Question: The price of lunch for 15 people was $211.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
A. $11.73
B. $12.78
C. $13.80
D. $14.00
Answer: B. $12.78
Explanation: Take the initial price before the gratuity is 100
The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 211 is for 115 then we have to calculate for 100
for 115 211
for 100 x
so by cross multiplication we get 115x=100*211 => x=100*211/110 by simplifying we get x as 191.81 which is the price of lunch before gratuity so the gratuity is 19.19 so
as the question ask the average price person excluding gratuity is 191.81/15=12.78 so our answer is B)