RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Each employee of Company X is a member of precisely 1 of 3 shifts of employees. Among the 60 members of the first shift, 20 percent participate in the pension program; among the 50 members of the second shift, 40 percent participate in the pension program; and among the 40 members of the third shift, 10 percent participate in the pension program. What percent of the workers at Company X participate in the pension program?
A.20%
B.24%
C.36%
D.37.5%
Answer: B.24%
Explanation: 60 members & 20 percent = 12
50 members & 40 percent = 20
40 members & 10 percent = 4
=> 36/150∗100 = 24%
Answer B
Question: A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
A.76 days
B.21 days
C.97 days
D.45 days
Answer: B.21 days
Explanation: WC = 1:2
2x + x = 1/14 => x = 1/42
2x = 1/21 => 21 days
Answer:B
Question: The total of the ages of Jayant,Prem and Saransh is 93 years.Ten years ago,the ratio of their ages was 2:3:4.What is the present age of Saransh ?
A.24 years
B.32 years
C.34 years
D.38 years
Answer: D.38 years
Explanation: Solution
Let the ages of Jayant,Prem and Saransh 10 years ago be 2x,3x and 4x years respectively.
Then,(2x +10)+ (3x +10) +(4x +10)= 93 ⇔ 9x = 63 ⇔ x =7.
∴ Saransh's present age = (4x +10)=38 years. Answer D
Question: A copy machine, working at a constant rate, makes 25 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
A.90
B.2,400
C.4,500
D.5,400
Answer: B.2,400
Explanation: Together the two machines make 25+55=80 copies per minute. So, in half an hour they will make 80*30=2,400 copies.
Answer: B.
Question: 3,7,12,18,25,33,..............7th terms
A.43
B.42
C.63
D.65
Answer: B.42
Explanation: 3+4=7
7+5=12
12+6=18
18+7=25
25+8=33
33+9=42
ANSWER:B
Question: If a function f is defined by f(x)= (2x-1)/3 for all non zero numbers x. If f(a) = 1 and f(ab) = 1/9 then b= ?
A.3
B.1/3
C.-1/3
D.-3
Answer: B.1/3
Explanation: Given that f(x)= (2x-1)/3 and f(a) = 1, then f(a) =(2a-1)/3=1 ===> a=2, then backsolve using the answer choices:
f(ab) = f(2b) = 1/6
A) 3 ===> f(2*3) = f(6) = (12-1)/3 = 11/3
B) 1/3 ===> f((2*1/3) = f(2/3) = (4/3-1)/3 = 1/9 WINS
C) -1/3 ===> f(2*-1/3) = f(-2/3) = (-4/3-1)/3 = -7/9
D) -3 ===> f(2*-3) = f(-6) = (-12-1)/3 = -13/3
E) -12 ===> f(2*-12) = f(-24) = (-24-1)/3 = -25/3
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 600 m?
A.221.8
B.127.5
C.881.2
D.223.1
Answer: B.127.5
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 600 m, the number of meters by which A beats C = (600 * 212.5)/1000 = 127.5 m.Answer:B
Question: A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and 1. What is one possible value of a ?
A.25
B.3
C.4
D.1
Answer: D.1
Explanation: -3*a^2=3(3a+1)
a= -1 or -1
a=-1=B
ANSWER:D
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 7?
A.3/8
B.1/16
C.1/8
D.1/2
Answer: B.1/16
Explanation: There are 16 possible outcomes but only one outcome (2222) has a sum greater than 7.
P(the sum is greater than 7) = 1/16
The answer is B.
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A.7 liters
B.15 liters
C.10 liters
D.9 liters
Answer: C.10 liters
Explanation: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.
ANSWER:C
Question: Find the remainder R when 12^190 is divided by 1729 ?
A.12
B.1
C.1728
D.1717
Answer: D.1717
Explanation: 12^(190) can be written as. ((12^3)^63)* 12. 12^3 when divided by 1729 gives a remainder R -1. so in the numerator we have -12. Now acccording to remainder theorm the answer will be 1729-12=1717.D
Question: The compound interest on Rs.30,000 at 7% per annum is Rs. 4347. The period (in years) is:
A.2
B.2 ½
C.3
D.4
Answer: A.2
Explanation: Amount = Rs. (30000 + 4347) = Rs. 34347.
Let the time be n years.
Then, 30000 (1 + 7/100)^n = 34347
(107/100)^ n = 34347/30000 = 11449/10000 = (107/100)^2
So the period is 2 years.
ANSWER:A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,000, what is the bonds face value?
A. $6,000
B. $6,750
C. $7,425
D. $7,200
Answer: D. $7,200
Explanation: Interest = 0.05*face value = 0.04*9,000 --> face value = 0.04*9,000/0.05 = 7,200.
Answer: D.
Question: A work which could be finished in 7 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
A.22
B.20
C.60
D.71
Answer: C.60
Explanation: x ------- 7
(x + 10) ---- 6
x * 7 = (x + 10)6
x = 60
\Answer: C
Question: A basket contains 6 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
A.1/2
B.1/3
C.1/4
D.1/5
Answer: A.1/2
Explanation: The total number of ways to choose 2 apples is 6C2 = 15
The number of ways that include the spoiled apple is 5C1 = 5
P(the spoiled apple is included) = 5/15 = 1/3
The answer is A.
Question: The number of all possible selections of one or more questions from 10 given questions, each question having one alternative is
A.3 10
B.2 10 – 1
C.3 10 – 1
D.2 10
Answer: C.3 10 – 1
Explanation: Since each question can be selected in 3 ways, by selecting it or by selecting its alternative or by rejecting it. Thus, the total number of ways of dealing with 10 given questions is 310 including a way in which we reject all the questions.
Hence, the number of all possible selections is 3 10 – 1.
Answer C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.277
B.278
C.245
D.278
Answer: C.245
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time
= 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(130 + x)
= 750 => x
= 245 m
Answer: Option C
Explanation:
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer:C
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.11292
B.31292
C.11392
D.11750
Answer: D.11750
Explanation: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750
Answer: D
Question: In one hour,a boat goes 13 km along the stream and 5 km against the stream.The speed of the boat in still water (in km/hr) is :
A.3
B.5
C.8
D.9
Answer: D.9
Explanation: Solution
Speed in still water =1/2(13+5)kmph.= 9 kmph. Answer D
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-4)(x+10)(2x-5) = 0?
A.1/12
B.1/6
C.1/4
D.1/3
Answer: C.1/4
Explanation: Roots of the equation (x-5)(x+10)(2x-5)=0 are x=4,x=-10andx=5/2=2.5. So, three solutions present in our set of 12 distinct numbers, therefore P=3/12=1/4.
Answer: C.
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 69. What is that number?
A.3.5
B.6
C.8
D.7
Answer: D.7
Explanation: Let the number be x. Then,
3(2x + 9) = 69
2x = 14 => x = 7
ANSWER:D
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 75% profit on the first article and 75% loss on second article. Find the net profit or loss percent?
A.200
B.768
C.276
D.750
Answer: D.750
Explanation: Profit on first article = 75% of 1000 = 750.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.
Answer: D
Question: If the day before yesterday was Thursday, when will Sunday be?
A.Day after tomorrow
B.Tomorow
C.Two days after today
D.Today
Answer: B.Tomorow
Explanation: Explanation:
Day before yesterday was Thursday
=>Yesterday was a Friday
=> Today is a Saturday
=> Tomorrow is a Sunday
Answer: Option B
Question: Ms. Lily sold two properties, X and Y, for $26,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
A.$2166.67
B.$2226.67
C.$2326.67
D.$2426.67
Answer: A.$2166.67
Explanation: There is a property to solve such questions withCommon Selling PriceandCommon %gain and loss. such cases always result in a loss and...
Total %Loss = (Common Gain% or Loss%/10)^2
Hence Here Loss% = (20/10)^2 = 4%
which means he recovered only 96% of his investment which amount to a total revenue = 26000 + 26000 = 52000
i.e. 96% of cost = 52000
therefore, 4% of cost (Loss) = $2166.67
Answer: A
Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?
A.65
B.81
C.82
D.56
Answer: D.56
Explanation: Avg points for total of 7 games = 50
So A+B+C+D+E+F+G/7=50
and A+B+C+D+E+F+G = 350
Given A+B+C+D+E = 238
So F+G = 112
So average (arithmetic mean) number of points scored over the last two games is 112/2 = 56
Correct answer is D) 56
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (11,3), which of the following coordinates would most likely be A's?
A.(17, -2)
B.(10, 6)
C.(6, 8)
D.(-10, 3)
Answer: D.(-10, 3)
Explanation: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.
D rules..
Question: A student travels from his house to school at 12 km/hr and reaches school 2 hours late. The next day he travels 20 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
A.90
B.100
C.110
D.120
Answer: A.90
Explanation: Let x be the distance from his house to the school.
x/12 = x/20 + 3
5x = 3x + 180
2x = 180
x = 90 km
The answer is A.
Question: In how many ways can 6 people be seated at a round table if one of those seated cannot sit next to 2 of the other 5?
A.720
B.120
C.108
D.84
Answer: D.84
Explanation: 6 People in a round table can be seated in (6 - 1) ! ways = 120.
Now we need to subtract the number of cases when one of those is sitting next to 2 of the other 5.
We can consider as if 5 people are sitting in a row because it is round table.
Again consider 3 people, those who can not sit together, as a single unit â€“
So the possible arrangements among remaining people 5 â€“ 3 + 1 Unit are = 3 !
And the 3 people unit can arrange among themselves in 3 ! ways.
So the possible cases when one of those is sitting next to 2 of the other 5 = 3 ! * 3 ! = 36
Total possible cases = 120 -36 = 84 ANS:D
Question: 64 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
A.66
B.26
C.42
D.28
Answer: D.28
Explanation: x/7 = y/9 => x:y = 7:9
7/16 * 64 = 28
Answer: D
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.150 m
B.200 m
C.350 m
D.400 m
Answer: C.350 m
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
ANSWER:C
Question: There are 8 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
A.53
B.54
C.55
D.56
Answer: D.56
Explanation: First of all you should remember that there is a difference in left and right sock.
now no. of way to select any of the sock = 8
and for second = 7
so total methods = 8*7 = 56
ANSWER:D
Question: Of the diplomats who attended a summit conference: 20 spoke Spanish, 32 did not speak Russian and 20% of the diplomats spoke neither Spanish nor Russian. If 10% of the diplomats spoke both Spanish and Russian, then how many diplomats attended the conference?
A.70
B.96
C.108
D.120
Answer: D.120
Explanation: 2X2 matrix will be the easiest way to calculate this.
Text in black: given statements
Text in red: calculated values
Thus D=120 is the correct answer
Question: If |x^2 − 42| = x, which of the following could be the value of x?
A.–7
B.–6
C.2
D.6
Answer: D.6
Explanation: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-42 is negative.
-(x^2 - 42) = x
x^2 + x - 42 = 0
(x+7)(x-6) = 0
x = 6 or x = -7 (However, x can not be negative.)
Then x = 6 is a possible value for x.
The answer is D.
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
A.600
B.700
C.800
D.900
Answer: D.900
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 = 4650 * (6/31) = 150*6 = 900. Answer : Option D
Question: What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: D.Both I and II are not sufficient to answer
Explanation: Explanation:
We know that, R =( 100 xS. I / P x T )
Now, I gives, S.I. = Rs. 4000.
II gives, T = 4 years.
But, P is unknown. So, we cannot find R.
So, given data is insufficient to get R.
answer is (D).
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 9 + 9 = ??
A.11
B.12
C.17
D.14
Answer: C.17
Explanation: 17
ANSWER:C
Question: A box contains THIRTEEN bulbs out of which 6 are defective. If FIVE bulbs are chosen at random, find the probability that atleast one bulb is good
A.455/451
B.428/421
C.427/429
D.456/489
Answer: C.427/429
Explanation: Required probability = 1-6C5/13C5 = 1 - 2/429 = 427/429.Answer:C
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
A.22
B.38
C.12
D.99
Answer: C.12
Explanation: Explanation:
Speed of train 1 = = 12 m/sec
Speed of train 2 = = 8 m/sec
if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec
distance covered = 120 + 120 = 240 m
time = distance/speed = 240/20 = 12 sec
Answer: C) 12
Question: An illiterate retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the market price. What is the actual profit on the sales?
A.0.125
B.26.5%
C.27.8%
D.None of the above
Answer: A.0.125
Explanation: Explanation :
Let C.P =Rs 100.then, marked price =Rs100
S.P=75% of Rs 150= Rs 112.50
Hence, gain%=12.50%
Answer : A
Question: A number when divided by 5, gives 45 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 10
A.A)5
B.B)3
C.C)4
D.D)6
Answer: A.A)5
Explanation: Explanation:
P ÷ 5 = 45
=> P = 45 * 5 = 225
P / 10 =225 / 10 = 22, remainder = 5
Answer: Option A
Question: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 0.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
A. $ 2.00
B. $ 3.00
C. $ 3.50
D. $ 4.00
Answer: A. $ 2.00
Explanation: Number of wheels in truck = 18
Number of wheels on its front axle =2
number of wheels remaining = 16
number of axles remaining axles = 16/4 = 4
Total number of axles = 5
T = 0.50 + 0.50( x − 2)
= 0.50 + .5*3
= 0.5 +1.5 = 2 $
Answer A
Question: The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?
A.1200 ft
B.800 ft
C.900 ft
D.1000 ft
Answer: A.1200 ft
Explanation: total distance - x
x/40 - x/48 = 5
x = 1200 ft
ANSWER A
Question: Difference between a two-digit number and the number obtained by interchanging the two digits is 36, what is the difference between two numbers
A.2
B.4
C.8
D.12
Answer: B.4
Explanation: Explanation:
Let the ten digit be x, unit digit is y.
Then (10x + y) - (10y + x) = 36
=> 9x - 9y = 36
=> x - y = 4.
Option B
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
A.42 6/8%
B.42 6/7%
C.42 4/7%
D.42 9/7%
Answer: B.42 6/7%
Explanation: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer: B
Question: In a BCCI meeting there are 14 people. All shake hands with each other once. How many handshakes will be there altogether?
A.28
B.13
C.14
D.19
Answer: B.13
Explanation: There will be n-1 handshakes as A person will shake hands with all the other members.
=14-1=13
Answer:B
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
A.93
B.77
C.68
D.90
Answer: D.90
Explanation: Given, 40% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.
Given, marks of Robert = 80
30% of 80 = 30/100 * 8 = 24
Given, 40% of Ram's marks = 24.
=> Ram's marks = (24 * 100)/40 = 60
Also, 20% of Rahim's marks = 24
=> Rahim's marks = (24 * 100)/20 = 120
Average marks of Ram and Rahim = (60 + 120)/2 = 90.
Answer:D
Question: In a shower, 4 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A.75 cu. m
B.600 cu. m
C.750 cu. m
D.6000 cu. m
Answer: B.600 cu. m
Explanation: 1 hectare = 10000 sq mtr
The volume of water that falls on 1.5 hectares of ground = 0.04*1.5*10000 = 600 cub mtr .
ANSWER:B
Question: One fourth of a solution that was 10 percent sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight ?
A.34%
B.24%
C.22%
D.18%
Answer: A.34%
Explanation: Let the original solution be 100 ml
It had 10ml of sugar
1/4 of this solution is removed
sugar remaining = 7.5 ML
25 ml of x% solution is added.
New volume of sugar = 7.5+25*x/100
Since resulting solution is 16% sugar by weight, volume of sugar = 16ml
equating the 2
x=(16-7.5)*4
=34
ANSWER:A
Question: What do you get if you add 5 to 500 five times?
A.305
B.510
C.320
D.505
Answer: D.505
Explanation: D
505 , 505 , 505 , 505 , 505
Question: A man spends 10% of his income in house rent, 20% of the rest on his childrenâ€™s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
A.3600
B.5500
C.5000
D.4000
Answer: A.3600
Explanation: X * (90/100) * (80/100) * (75/100) = 1944
X * 0.9 * 0.8 * 0.75
X = 1944/0.54
X = 3600
ANSWER A
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
A.Rs.3128
B.Rs.3120
C.Rs.3122
D.Rs.3121
Answer: B.Rs.3120
Explanation: Explanation:
Let A be the amount received at the end of the three years.
A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]
A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)
A = Rs.7920
So the interest = 7920 - 4800 = Rs.3120
Answer: B
Question: P and Q began business with Rs.6000 and Rs.9000 after 4 months, P withdraws Rs.2000 and B advances Rs.3000 more.
At the end of the year, their profits amounted to Rs.1175 find the share of Q.
A.800
B.625
C.825
D.725
Answer: C.825
Explanation: (6*4 + 4*8):(9*4 + 12*8)
14 : 33
33/47 * 1175 = 825.Answer:C
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). On a day when the temperature extremes recorded at two different cities differed by 55 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
A.a) 65/9
B.b) 13
C.c) 28
D.d) 45
Answer: C.c) 28
Explanation: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case).
Just looking at the answer choices you can pick C which is the only number near half of 55. The other answer choices are too far apart so no need to calculate.
Question: If 20 ounces of a strong vinegar solution are diluted with 40 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
A.8%
B.10%
C.12%
D.15%
Answer: D.15%
Explanation: Let x be the concentration of the original solution.
20x = 0.05(60)
x = 0.15
The answer is D.
Question: A basket has 6 apples and 4 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
A.1/2
B.1/3
C.2/3
D.2/5
Answer: C.2/3
Explanation: The total possible choices are 10C3 = 120
The ways to choose 3 apples: 6C3 = 20
The ways to choose 2 apples: 6C2 * 4C1 = 60
P(at least 2 apples) = 80/120 = 2/3
The answer is C.
Question: In a ratio which is equal to 3:4, if the antecedent is 12, then the consequent is?
A.12
B.16
C.20
D.22
Answer: B.16
Explanation: We have 3/4 = 12/x
3x = 48
x = 16
consequent = 16
Answer is B
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 27, then find the smaller number?
A.25
B.66
C.45
D.88
Answer: C.45
Explanation: Let the two positive numbers be 5x and 8x respectively.
8x - 5x = 27
3x = 27 => x = 9
=> Smaller number = 5x = 45.
Answer: C
Question: Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts
A.24
B.48
C.72
D.96
Answer: B.48
Explanation: Total # of ways to distribute SSEGT among 5 sisters (without restriction) is 5!2!=605!2!=60;
The # of ways when the youngest niece gets G is: 4!2!=124!2!=12 (give G to youngest and then distribute SSET among 4 sisters).
So, # of ways when youngest niece doesn't get G is: 60−12=4860−12=48.
Answer: 48.
ANSWER:B
Question: There are two tanks a and b. A drains water with 6L/m and b drains water with 8L/m. A starts drain water at 9:00 and after 2 minute, b starts draining of water. At what time, both with have same level.
A.9:12
B.9:10
C.9:08
D.9:04
Answer: C.9:08
Explanation: 9:01 --- 6 L
9:02 --- 12 L
from 9:03 onwards --------18,24,30,36,42,48,54,60
B =>
from 9:03 onwards -------- 8,16,24,32,40,48,56,64
at 9:08 both A & B have same level (48 L)
ANSWER:C
Question: In an examination 35% of the students passed and 481 failed. How many students appeared for the examination?
A.A)540
B.B)400
C.C)700
D.D)740
Answer: D.D)740
Explanation: Let the number of students appeared be x
then, 65% of x = 481
65x/100 = 481
x = 481*100/65 = 740
Answer is D