RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
A.6 liters
B.8 liters
C.4 liters
D.2 liters
Answer: D.2 liters
Explanation: 70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ------- 63
12 1/2% -------? => 9-7=2
Answer: D
Question: If x^2+(1/x^2)=7, x^4+(1/x^4)=?
A.10
B.47
C.12
D.14
Answer: B.47
Explanation: -> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=7^2-2=47.
Thus, the answer is B.
Question: A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black socks is double that of a brown pair, while preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order was
A.1:4
B.1:2
C.1:3
D.1:5
Answer: A.1:4
Explanation: Let the price of a pair of brown socks=x, then price of a pair of black socks=2x
If in original order there are 'a' pairs of brown socks, then total price= 4*2x + a*x
With interchanging number of black and brown pairs, new price=a*2x + 4*x
Given new price is 50% more than the original, So a*2x+4*x= (150/100)(4*2x+a*x)
=> 2ax+4x= (3/2)(8x+ax)
=> 4ax - 3ax= 16x
=> a=16 = original number of pairs of brown socks
So ratio of number of black and brown pairs of socks in original order= 4:16 =1:4
ANSWER:A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: C= 1/2-1/4-1/5
=1/20
=20days
ANSWER B
Question: A alone can complete a work in 16 days and B alone can complete in 12 days. Starting with A they work on alternate days. The total work will be completed in?
A.12
B.13
C.13 5/7
D.13 ¾
Answer: D.13 ¾
Explanation: Explanation:
(A+B)’s 2 day work = 1/16 + 1/12 = 7/18
work done in 6 pairs of days=7/48 x 6 = 7/8
remaining work = 1/8
work done by A on 13th day =1/16 remaining work = 1/16
on 14th day its B turn 1/12 work is done by B in 1 day 1/16 work is done by B in 12 x 1/16 = 3/4 day
total time taken =13 ¾ days
Answer: Option D
Question: Of a group of people, 10 play piano, 11 play guitar, 14 play violin, 3 play all the instruments, 20 play only one instrument. How many play 2 instruments?
A.3
B.6
C.9
D.12
Answer: D.12
Explanation: Let single piano players = p
Let single guitar players = g
Let single violin players = v
Given, p + g + v + 3 + 20 = 10 + 11 + 14.
Hence, p + g + v = 35 - 23 = 12
ANSWER:D
Question: Jaya invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Jaya originally paid?
A.93%
B.90%
C.88%
D.85%
Answer: A.93%
Explanation: Let the initial amount be 100.
Since it grew on constant basis as 10% for three years = 100*1.1^3 = 11*11*1.1 = 132 [Taking 1.1 as 1]
It eroded by 30% = 132 * .7 = 92.something approximated to 93%
So, The correct answer will be (A) 93%
Question: When 1/10 percent of 2,000 is subtracted from 1/10 of 2,000, the difference is
A. 0
B. 198
C. 450
D. 495
Answer: B. 198
Explanation: We can break this problem into two parts:
1) What is 1/10 percent of 2,000?
2) What is 1/10 of 2,000?
To calculate 1/10 percent of 2,000 we must first remember to DIVIDE 1/10 BY 100.
So we have: (1/10)/(100)
To divide a number by 100 means to multiply it by 1/100, so we have:
1/10 x 1/100 = 1/1,000
Thus, 1/10 percent of 2,000 = 1/1,000 x 2,000 =2.
Now let's concentrate on part 2. We need to calculate 1/10 of 2,000. To do this we simply multiply 1/10 by 2,000.
1/10 x 2,000 = 200
The answer to part 1 is 2, and the answer to part 2 is 200. Their difference is 200 – 2 = 198.
Answer B.
Question: A corporation triples its annual bonus to 50 of its employees. What percent of the employees’ new bonus is the increase?
A.50%
B.662⁄3%
C.100%
D.200%
Answer: B.662⁄3%
Explanation: Let the annual bonus be X.
A corporation triples its annual bonus.
So new bonus = 3X.
Increase = 3X-X =2X
The increase is what percent of the employees’ new bonus
= (2X/3X)*100
= 66 2/3%
Hence B.
Question: If 4-X < (2+5X)/3, which of the following is correct?
A.X < -5.
B.X > -5.
C.X > 5/4.
D.-5 < X < 0.
Answer: C.X > 5/4.
Explanation: 4-X < (2+5X)/3
12-3X < 2+ 5X
10 < 8X
10/8<X
5/4<X
C is the answer
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 13.5
II. 12.3
III. 9.3
A.I only
B.I and II only
C.II only
D.III only
Answer: D.III only
Explanation: Mean = 12
SD = 1.3
2 SD above mean = 12+2*1.3 = 14.6
2 SD below mean = 12-2*1.3 = 9.4
12.3 and 13.5 lies in the range of 2SD from mean
Answer: Option D
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a quarter circle?
A.0.36
B.3.6
C.9000
D.3,600
Answer: C.9000
Explanation: 1 degree * 1/100 = 1 anglet
So 1 degree = 100 anglets
=> 90 degrees = 9000 anglets
Answer - C
Question: A box contains eight bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
A.13/16
B.1/2
C.15/16
D.11/16
Answer: C.15/16
Explanation: Required probability
= 1 - 1/16
= 15/16
Answer: C
Question: In a factory there are three types of machine M1, M2 and M which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2%, 4% and 5% defective products, respectively. what is the percentage of non-defective products ?
A.89%
B.97.1%
C.96.1%
D.86.1%
Answer: C.96.1%
Explanation: Solution: Non-defective products,
{[(25*0.98)+(35*0.96)+(40*0.95)]/100}*100
= 96.1%.
Answer: Option C
Question: A fruit juice is composed of pineapple, strawberry juice, and cherry juice. How many ml of cherry juice is required to make 6 liters of fruit juice containing twice as much pineapple juice as strawberry juice and three times as much strawberry juice as cherry juice? (1L=1000ml)
A.1800 ml
B.600 ml
C.1000 ml
D.200 ml
Answer: A.1800 ml
Explanation: 1L=1000ml
6L=6000ml
pineapple=2 strawberry
strawberry=3 cherry
pineapple+strawberry+cherry=6,000
2 strawberry+strawberry+1/3 strawberry=6,000
10 strawberry=18,000
strawberry=18,00 ml
Answer A
Question: Find the number of square tiles to cover the floor of a room measuring 6.5 m * 9.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A.422
B.476
C.429
D.864
Answer: D.864
Explanation: Floor area to be covered by tiles = 6 * 9 = 54
tiles area = 0.25 * 0.25 =0.0625
No. of tiles = 54/0.0625 = 864
Answer : D
Question: The average of nine numbers is 14. The average of first four numbers is 11.5 and the average of last four numbers is 16.5. What is the middle number?
A.14
B.16
C.15
D.18
Answer: A.14
Explanation: The total of nine numbers = 9X14 = 126
The total of first 4 and last 4 numbers is = 4 X 11.5+4 X 16.5 = 112
So, the middle number is (126 - 112 ) = 14
A
Question: There are 8 balls in a bucket, 4 balls are blue and 4 balls are red. If two ball chosen randomly , how many chances there are at least one blue ball will present?
A.21
B.25
C.16
D.22
Answer: D.22
Explanation: Two ball will be chosen. At least 1 blue ball
Total ways = 8C2 = 28
Total without any blue ball = 4C2 = 6
Hence ways in which at least one blue will be present = 28 - 6 = 22
Correct option: D
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
A.$28.44
B.$18.44
C.$48.44
D.$38.44
Answer: A.$28.44
Explanation: let x be the price before the first discount. The price after the first discount is
x - 25%x (price after first discount)
A second discount of 25% of the discounted price after which the final price is 16
(x - 25%x) - 25%(x - 25%x) = 16
Solve for x
x = $28.44
correct answer A
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
A.11 2/3 days
B.11 3/7 days
C.8 days
D.6 days
Answer: B.11 3/7 days
Explanation: A's 1 day's work =1/15
B's 1 day's work =1/20
5 days before the completion of the work, A leaves=X-5/15
(x â€“ 5)/15 + x/20 = 1
x = 11 3/7 days
Answer: Option B
Question: A man performs 3/5 of the total journey by rail, 17/20 by bus and the remaining 6.5km on foot. His total journey is?
A.130
B.152
C.225
D.260
Answer: A.130
Explanation: Let the total journey be x km
then, (3x/5)+(7x/20)+6.5 = x
12x+7x+20*6.5 = 20x
x = 130km
Answer is A
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
A.$25.75
B.$35.75
C.$15.75
D.$ 45.75
Answer: C.$15.75
Explanation: The price with 30% off
30 - 30% of 30 = 30 - (30 / 100) *30 = 30 - 9 = 21
The price with another 25% off
21 - 25% of 21 = 21 - (25/100)* 21
= 21 - (525 / 100) = 21 - 5.25 = $15.75
correct answer C
Question: What is the perimeter of a square field whose diagonal is 4√2?
A.16 m
B.32 m
C.27 m
D.26 m
Answer: A.16 m
Explanation: 4a
= 16 m
Answer: A
Question: What percent of 120 are 90?
A.12
B.33
C.75
D.88
Answer: C.75
Explanation: (?% /100) * 120 = 90
? = 75%
Answer:C
Question: Mr. Zimmer has 237 papers to hand out to his class. The class consists of 30 students, and each student will need 8 papers. How many more papers will he need to be able to give 8 papers to each 30 student?
A.3
B.7
C.21
D.78
Answer: A.3
Explanation: 8*30=240, not 237.
Therefore 3 papers will need to be added in order for 30 students to get 8 papers each.
Therefore A is correct
Question: |-4| (|-25|-|5|)= ??
Source: Preparation Material MBA Center
A.80
B.100
C.160
D.175
Answer: A.80
Explanation: Absolute value will turn negatives into their positive 'equivalents', and will leave positives unchanged, so |-4| = 4, |-25| = 25, and |5| = 5. Getting rid of our absolute values we have:
|-4| (|-25|-|5|) = (4) (25 - 5) = 4*20 = 80
Question: x is what percent of y percent of z, in terms of x, y and z? p be the value expressed in terms of x,y and z.
A.xyz
B.1/xyz
C.10,000x/yz
D.1000*xyz
Answer: C.10,000x/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 p% of yz/100; then we have:
x = (p/100)*(yz/100)
10,000x/yz = p
C
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
A.33.8
B.32.3
C.33.6
D.33.3
Answer: C.33.6
Explanation: Let B = 100
A = 50
C * (150/100) = 50
3C = 100
C = 33.3 then 'C' Cheapest
Answer: C
Question: A company wants to manufacture computer models of x% of a list of 10,000 models from the market. After a budget cut, the company finds it must reduce this selection by (x − 6)%. In terms of x, how many computer model will the group be able to manufacture?
A.x*x – 6x
B.(x)(106 – x)
C.(100)(106 – x)
D.(100)(94 – x)
Answer: B.(x)(106 – x)
Explanation: Based on the answer choices and the question, this question begs the use of x=6 as a sample number.
Initial = 6%*10000 = 600
Reduction = 6-6=0%, so no math required here to calculate the reduction; just make sure that you can calculate 600 in your answer.
A. x*x – 6x = 0; No
B. (x)(106 – x) = 600; Winner!
C. (100)(106 – x) > 600; No
D. (100)(94 – x) > 600; No
E. (x-6)/100 = 0; No
B
Question: Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queen?
A.4/26
B.55/221
C.56/221
D.55/220
Answer: B.55/221
Explanation: Probability of taking 2 from 52 cards = 52C2 = 52 * 51/2*1 = 1326
There r 26 black cards
There r 4 queens
prob that both r black cards P(A)= 26C2/1326 = 26 * 25/2 * 1 = 325/1326
prob that both r queens P(B)= 4C2/1326 = 4 * 3/2 * 1 = 6/1326
P(A n B) = 2C2/1326 = 1/1326
P(A U B) = P(A) + P(B) - P(A n B) = 325/1326 + 6/1326 - 1/1326
=> 55/221
ANSWER:B
Question: A Cuban cigar would cost 5 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
A.92.7$.
B.23$.
C.25.5$.
D.12.7$.
Answer: D.12.7$.
Explanation: The three cigars together cost 74.7 dollars. If each cost the same , they would have cost a little less than 25 dollars each.
From the given data we know French cigar < Cuban cigar < Arabic cigar
and each is more expensive 1.5 times. Therefore eliminate options C,A,E straightaway . Since French cigar is at least 1.5 times cheaper we know B cannot be the answer.
Therefore D is the answer.
Question: Two trains of equal length, running with the speeds of 60 and 20 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
A.12.5
B.8.01
C.7.5
D.26
Answer: A.12.5
Explanation: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 20 = 80 * 5/18
T = 2500/9 * 18/400= 12.5 sec.Answer: A
Question: In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2,
3 / 9 = 7,
8 / 2 = 6,
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Solution:
The answer is 0.
As
6 / 7 = 42 but the answer is written as 2
3 / 9 = 27 but the answer is written as 7
8 / 2 = 16 but the answer is written as 6
If we look at the answers, the second digit has been used in the problem.
Now, as
4 / 5 = 20 and the second digit is 0, the answer is 0.
Answer A
Question: How many numbers from 9 to 79 are exactly divisible by 11?
A.5
B.7
C.9
D.11
Answer: B.7
Explanation: 9/11 = 0 and 79/11 = 7 ==> 7 - 0 = 7 Numbers
Answer : B
Question: A ship sails 4 degrees north, then 14 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: Let x = the latitude sought.
Then marking the northings +, and the southings -;
By the statement x + 4 - 14 + 17 - 19 = -11
And x = 1.
Answer B
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 46 hats in this group, how many of these hats are not blue?
A.28
B.22
C.48
D.64
Answer: B.22
Explanation: B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*46 = 32.
Answer: B.
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench?
A.5040
B.710
C.720
D.730
Answer: A.5040
Explanation: npn = n!
7p7 = 7 X 6 Ã— 5 Ã— 4 Ã— 3 Ã— 2 Ã— 1 = 5040
A
Question: Two trains start from p and q respectively and travel towards each other at a speed of 50km/hr and 40km/hr respectively. By the time they meet, the first train has travelled 1ookm more than the second. The distance between p and q is
A.500km
B.600km
C.700km
D.900km
Answer: D.900km
Explanation: Explanation:
At the time of meeting, let the distance travelled by the second train be x km
Then, distance covered by the first train is (x+100)km
=> x/40 = (x+100)/50 => 50x = 40x+4000 => x=400km
so, distance between p and q = (x+x+100)km = 900km
Answer: Option D
Question: If x⁄2 + 5⁄4 = 5⁄4, what is the value of x?
A.–2
B.–1
C.0
D.1
Answer: C.0
Explanation: x⁄2 + 5⁄4 = 5⁄4
Let's multiply both sides by 4.
2x + 5 = 5
2x = 0
x = 0
The answer is C.
Question: At 3:00 pm, a car has driven 20 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
A.a) 10
B.b) 11
C.c) 12
D.d) 15
Answer: D.d) 15
Explanation: 0.8 minutes --> 1 mile
1 minute --> 1/0.8 = 10/8 = 1.25 miles/minute
Distance covered in 40 minutes = 1.25 * 40 = 12.5 * 4 = 50 miles
Distance covered in the current direction = Distance covered from the opposite direction (since car returns back to starting point)
Let x be the miles driven before turning
20 + x = 50 - x
2x = 30
x = 15
Answer: D
Question: Lucy deposited $31250 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $2550?
A.0.5
B.2
C.12/4
D.12/2
Answer: D.12/2
Explanation: A = P + I = 31250 + 2550 = 33800
33800 = 31250(1 + 16/4*100)^(4t)
(676/625) = (104/100)^(4t)
(26/25)^2 = (26/25)^4t
t = 1/2 yrs = 12/2 months
Answer: D
Question: What number comes next in this Number series.
5 5 3 4 4 6 9 ?
*Hint: check calender
A.7
B.8
C.6
D.1
Answer: A.7
Explanation: A
7 (the number of letters in the month October)
March : 5 letters
April : 5 letters
May : 3 letters
June : 4 letters
July : 4 letters
August: 6 letters
September : 9 letters
Question: If 2 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
A.(2x + 2y)/5
B.(2x + 2y)/(x + y)
C.(2x + 2y)/(xy)
D.5(2x + 2y)
Answer: A.(2x + 2y)/5
Explanation: Total Cost = Weight(in pounds) * Price/pound;
To find Total cost/pound, Divide by total pounds.
Cost of Dried apricots = 2x;
Cost of prunes = 2y;
Cost per pound = (2x + 2y)/5;
Ans is (A).
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. The slope of L is negative
2.Line L must passes through the first quadrant
3. Line L does pass the origin.
A.I only
B.II only
C.III only
D.I and II
Answer: A.I only
Explanation: Slope of the given line= 3-n/n-3
Given information is that n is not equal to 3, that means n <3 or n>3. In both these conditions the slope will be negative.
1) n<3 (n=2)
3-2/2-3= -1
2) n<3 (n= 0)
3-0/0-3= -1
3) n<3 (n=-3)
3+3/ -3-3= -2/3
4) n>3
3-4/4-3= -1
Answer A
Question: In a certain sequence of 7 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
A.None
B.One
C.Two
D.Three
Answer: B.One
Explanation: Non - Negative ( zero to positive infinity )
Solution to the question :
-5,-4,-3,-2,-1,0 , 1
Hence ans is 1 ..option B
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $250 per month per customer. If the company’s average revenue per customer per month is $200, then what percent of the company's revenue comes from customers with Plan A?
A.10.7%
B.30%
C.37.5%
D.56.25%
Answer: A.10.7%
Explanation: If there are A customers with plan A, and B customers with plan B, then the total revenue is $75A + $250B.
Since the average customer pays $100, we know that
$200 = ($75A + $250B) / (A + B)
$200(A + B) = ($75A + $250B)
$200A + $200B = $75A + $250B
$125A = $50B
A = 2/5*B.
Since there are 2/5 times as many $75 clients as $250 clients, for every $250 received from Plan B customers, 2/5*($75) = $30 is received from Plan A customers, and the percent of revenue from customers with Plan A is:
$30/($30 + $250) = $30/$280 = 10.7%.
The correct answer is choice (A).
Question: In Town X, 64 percent of the population are employed, and 50 percent of the population are employed males. What percent of the employed people in Town X are females?
A.16%
B.22%
C.32%
D.40%
Answer: B.22%
Explanation: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 50 are employed males, hence 14% are employed females.
(employed females)/(total employed people)=14/64=22%
Answer: B.
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 12?
A.6
B.8
C.4
D.3
Answer: B.8
Explanation: You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3, 4,5 and 6 then no two numbers out of these 7 add up to 12.
Now, the next, 8th number whatever it'll be (7, 8, or 9) will guarantee that two number WILL add up to 12. So, 8 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 12.
Answer: B
Question: If k and y are integers, and 10k + y is odd, which of the following must be true?
A.k is odd
B.k is even
C.y is odd
D.y is even
Answer: C.y is odd
Explanation: 10k will be always even as 10 has 2 as one of its factors
if 10k+y is odd, then the only possible explanation is that y is odd
correct answer C
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
A.3/5
B.3/7
C.4/7
D.4/9
Answer: C.4/7
Explanation: Let A be the event ‘the number on the card drawn is even’ and B be the
event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).
Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Then A = {2, 4, 6, 8, 10}, B = {4, 5, 6, 7, 8, 9, 10}
and A n B = {4, 6, 8, 10}
Also P(A) = 5/2, P(B) = 7/10 and P(A n B) = 4/10
Then P(A|B) = P(A n B)/P(B) = (4/10)/(7/10) = 4/7
C)
Question: A basketball coach will select the members of a five-player team from among 11 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
A.1/9
B.1/6
C.2/11
D.5/18
Answer: C.2/11
Explanation: straight forward way is to group J and P as always present on the team and as order does not matter so we just need to find the total number of ways to select rest three players = 9c3
total number of ways of selecting 5 players out of 11 = 11c5
probability = 9c3/11c5 =2/11
C
Question: A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
A.15
B.14
C.18
D.19
Answer: D.19
Explanation: Let the average after the 16th inning be P.
So, the average after the 15th inning will be
(P-3) Hence, 15(P-30) + 64 = 16P => P = 19.
Answer:D
Question: Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred took an earlier train, without informing his wife, and therefore he already was at the station of Alkmaar at five o'clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. Fred's wife always drives the entire way between home and station at the same constant speed.How long did Fred walk yesterday evening?
A.55
B.45
C.58
D.65
Answer: A.55
Explanation: Fred's wife needed to drive ten minutes less than usual, which is five minutes less in the direction of the station and five minutes less back home. Therefore, Fred met his wife at five minutes to six. He had walked already since five o'clock, so he walked 55 minutes in total.
Answer A
Question: An article is bought for Rs.1200 and sold for Rs.800, find the loss percent?
A.16%
B.35%
C.33%
D.18%
Answer: C.33%
Explanation: 1200 ---- 400
100 ---- ? => 33%
Answer:C
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 48?
A.A)Rs.3944
B.B)Rs.3948
C.C)Rs.3264
D.D)Rs.3949
Answer: C.C)Rs.3264
Explanation: Let the side of the square plot be a ft.
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 * 48 = Rs.3264.
Answer: C