RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Sami's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Sami owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
A.$55, $85, $40
B.$60, $60, $60
C.$65, $55, $90
D.none of these
Answer: D.none of these
Explanation: Since Sami owns equal amounts of stocks, the 10% increase alone should set off the 15% decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased.
Answer is D.
Question: What is the total surface area in square meters of a rectangular solid whose length is 8 meters, width is 7 meters, and depth is 4 meters?
A.132 m2
B.145 m2
C.165 m2
D.152 m2
Answer: A.132 m2
Explanation: Surface Area of a cuboid = 2(lb+bh+lh) = 2(8*7+7*4+8*4)=2(56+28+32)=2*116=132 m2
Answer : A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.828
B.788
C.378
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min.
= 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60
= 25 è x = 25 * 60 / 2
= 750
Answer: D
Question: B and C started a business by investing Rs.3300/- and Rs.8800/- respectively. Find the C’s share out of a total profit of Rs.2200:
A.500
B.600
C.700
D.800
Answer: B.600
Explanation: B = Rs.3300/-
C = Rs.8800/-
B share 3 parts & C share 8 parts
Total 11 parts -----> Rs.2200/-
----> 1 part -------> Rs.200/-
C share = 3 parts -----> Rs.600/-
B
Question: On dividing 23 by a number, the quotient is 5 and the remainder is 3. Find the divisor.
A.1
B.2
C.4
D.6
Answer: C.4
Explanation: d = (D-R)/Q
= (23 - 3)/5
= 20/5 = 4
C
Question: How many integers between 324,700 and 387,600 have tens digit 1 and units digit 3?
A.438
B.629
C.780
D.879
Answer: B.629
Explanation: The integers are:
324,713
324,813
etc...
387,513
The number of integers is 3876 - 3247 = 629
The answer is B.
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.126 Kmph
B.136 Kmph
C.172 Kmph
D.128 Kmph
Answer: A.126 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 700/20
S = 35 M/Sec
Speed= 35*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 126 Kmph
Answer: A
Question: If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 9, what is the least possible value of n?
A.7
B.6
C.9
D.12
Answer: B.6
Explanation: We need at least 2 factors of three, which means n must be at least 6, so B is the correct answer.
Question: 16 +17+18+19=70. How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10?
A.100
B.200
C.300
D.400
Answer: B.200
Explanation: since 1+2+3+4=10 & 6+7+8+9=30
any combination with these no be will give u desirable result...
so total no in 100 will be 20 & that's why in in 1000,it will be 200
ANSWER:B
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
A.23.5
B.24.5
C.12.5
D.14.5
Answer: B.24.5
Explanation: Explanation:
If Rahul age is x, then Sachin age is x-7,
so (x-7)/x = 7/9
=> 9x-63 = 7x
=> 2x = 63
=> x = 31.5
So Sachin age is 31.5 - 7 = 24.5
Answer: Option B
Question: Find the reminder when 333666777888999 divided by 3 or 9 or 11
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: the sum of the digits is 3+3+3+6+6+6+7+7+7+8+8+8+9+9+9=99, which is a multiple of 3 & 9, hence divisible by 3 & 9. hence the remainder is 0.
the difference of the sum of even place digits and odd place digits is (3+3+6+7+7+8+9+9)-(3+6+6+7+8+8+9)=5. hence not divisible by 11. so, the remainder is the difference, which is 5.
ANSWER:D
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 192 as interest at the end of the loan period, what was the rate of interest?
A.3.6
B.6
C.4
D.Cannot be determined
Answer: C.4
Explanation: Let rate = R% and time = R years.
Then,1200 x R x R/100= 192
12R2 = 192
R2 = 16
R = 4.
Answer:C
Question: Sandy had $217 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
A.$270
B.$290
C.$310
D.$330
Answer: C.$310
Explanation: Let the money Sandy took for shopping be x.
0.7x = 217
x = 310
The answer is C.
Question: Peeta asks Katniss, 'It is 12 pm as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ?
A.9am
B.6pm
C.4am
D.7am
Answer: A.9am
Explanation: A
9pm
The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Question: If the tens digit of positive integers t, y are 6, how many values of the tens digit of 2(t+y) can be there?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: If the tens digit of positive integers t, y are 6, how many values of the tens digit of 2(t+y) can be there?
A. 2
B. 3
C. 4
D. 5
E. 6
-> If t=y=60, 2(t+y)=240 is derived. If t=y=69, 2(t+y)=276 is derived, which makes 4,5,6,7 possible for the tens digit. Therefore, the answer is C.
Question: A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price A. The store sold the first 150 copies in the first week at 80% more than A, and then over the next month, sold a 100 more at 20% more than A. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than A. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
A. 30% loss
B. 10% loss
C. 10% profit
D. 20% profit
Answer: D. 20% profit
Explanation: [[A(150)(1.8)+A(100)(1.2)+A(150)(0.6)]/400A] - 1
[50[(3)(1.8) + (2)(1.2) + (3)(0.6)] / (50)(8)] - 1
[(5.4 + 2.4 + 1.8)/8] - [8/8]
+1.6/8
+20%
answer is D
Question: If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
A.1
B.100
C.121
D.141
Answer: C.121
Explanation: mn=121 121 can be obtained by multiplying 121*1
m=121,n=1
(m-1)n+1=121
if we choose m=1 and n=121
then the answer will be 1
so there r two possible answers 1 and 121
ANSWER:C
Question: Calculate the area of a triangle, if the sides of are 52 cm, 48 cm and 20 cm, what is its area?
A.480 cm2
B.580 cm2
C.380 cm2
D.180 cm2
Answer: A.480 cm2
Explanation: The triangle with sides 52 cm, 48 cm and 20 cm is right angled, where the hypotenuse is 52 cm.
Area of the triangle = 1/2 * 48 * 20 = 480 cm2
Answer: A
Question: If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
A.10%
B.15%
C.20%
D.25%
Answer: C.20%
Explanation: 100
125
-----
125 ----- 25
100 ------ ? => 20%
ANSWER:C
Question: In front of you lies a figure made up with 20 x 10 square blocks. Will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares?
A.11647
B.11550
C.12654
D.26537
Answer: B.11550
Explanation: B
11550
There is just one way to find it out and that is the generic computing method.
The number of squares and rectangles formed = (Summation of column numbers)
= (1 + 2 + 3 +......+ 19 + 20) * (1 + 2 + 3 +......+ 9 + 10)
= 210 * 55
= 11550
Question: Pipe A can fill the tank in 30 minutes and pipe B in 20min and pipe C can empty the tank in 90 minutes. How long it will take to fill the tank if three of the pipes are operating together?
A.10.55
B.12.0
C.13.1
D.13.85
Answer: D.13.85
Explanation: Pipe A fills 1/30th of the tank in a minute and pipe B, 1/20th. Pipe C empties in 90min
(1/30)+(1/20)-(1/90)=(1/x)
13/180=1/x => x=180/13 => x=13.85 minutes
Answer: D
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -.
A.24
B.23
C.119
D.120
Answer: C.119
Explanation: Explanation:
Number of words which can be formed = 5! - 1 = 120 - 1 = 119.
ANSWER IS C
Question: A restaurant meal cost $24.6 and there was no tax. If the tip was more than 20 percent but less than 18 percent of the cost of the meal, then the total amount paid must have been between
A.$40 and $42
B.$29 and $29
C.$38 and $40
D.$37 and $39
Answer: B.$29 and $29
Explanation: The total amount for the meal was between 24.6*1.2=29.5 and 24.6*1.18=~29. Only option which covers all possible values of the meal is B.
Answer: B.
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.825.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
A.Rs.5358
B.Rs.5458
C.Rs.3370
D.Rs.4358
Answer: A.Rs.5358
Explanation: Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100 = Rs.824.85
27P = 62100 = 82485
P = (82585 + 62100)/27 = Rs.5358
ANSWER:A
Question: Gary is 15 years younger than Simon, and Kim is twice as old as Gary. If S is Simon’s age and K is Kim's age, what is the relationship between K and S?
A.K = 2S + 10
B.K = 2S + 10
C.K = 2S - 30
D.K = 2S − 10
Answer: C.K = 2S - 30
Explanation: G=S-15 and K=2G --> K=2S-30
Answer C
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?
A.76
B.78
C.86
D.88
Answer: C.86
Explanation: Divisor = (6 * 3) + 2 = 20
5 * Quotient = 20
Quotient = 4.
Dividend = (Divisor * Quotient) + Remainder
Dividend = (20 * 4) + 6 = 86.
C)
Question: If the integer d is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when d is rounded to the nearest ten. which of the following is a possible value of d?
A.64
B.67
C.99
D.133
Answer: A.64
Explanation: We have to check options 1 by 1.
64 rounded to nearest hundred = 100
64 rounded to nearest ten = 60
now difference = 40
the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten.
therefore 40/60)*100 = 66 2/3 ==>this is the answer.
99 rounded to nearest ten = 100
133 rounded to nearest ten = 130
133 rounded to nearest hundred d= 100=A
Question: If Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
A.14x/y
B.14y/x
C.x/(14y)
D.14/(xy)
Answer: A.14x/y
Explanation: This problem is testing us on the Rate x Time = Distance relationship. This relationship also tells us that Rate = Distance/Time and Time = Distance/Rate.
Ultimately, we are looking for how many seconds it will take Juan to run x yards. Thus, the equation we’ll use is: Time = Distance/Rate. We know the distance is x yards, and we need to find Juan’s rate.
We can find Juan’s rate as follows: Rate = Distance/Time = y yards/14 seconds
Using that rate, we need to determine how long it takes him to run x yards at the same rate. So we have:
Time = Distance/Rate
Time = x yards/(y yards/14 seconds)
Time = (x yards) x (14 seconds/y yards)
Time = 14x/y seconds
Answer A.
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120 cm2
B.820 cm2
C.128 cm2
D.110 cm2
Answer: A.120 cm2
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: A
Question: In a camp, there is a meal for 140 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
A.38 men
B.32 men
C.35 men
D.30 men
Answer: C.35 men
Explanation: Explanation:
There is meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children = 140 men
So, 50 Children = 140/200 * 50 = 35 men
Answer: C
Question: The average of first five multiples of 3 is?
A.2
B.9
C.8
D.6
Answer: B.9
Explanation: Average = 3(1 + 2 + 3 + 4 + 5)/5
= 45/5
= 9.
Answer:B
Question: When 21 is divided by positive integer j, the remainder is 6. For how many values of j is this true?
A.1
B.3
C.5
D.7
Answer: A.1
Explanation: When 21 is divided by j, the remainder is 6 i.e. 6 dragonfruit left over after grouping, so j is greater than 6.
It also means that 15 is completely divisible by j.
Factors of 15 are 1, 3, 5, and 15.
Out of these j could be 12.
Answer (A)
Question: A is thrice as good a work man as B and together they finish a piece of work in 12 days.The number of days taken by A alone to finish the work is :
A.28 days.
B.14 days.
C.12 days.
D.16 days.
Answer: D.16 days.
Explanation: Solution
(A’s 1 day’s work): (B’s 1 day’s work)= 3 : 1.
(A + B)'s 1 day’s work = 1/12
Divide 1/14 in the ratio 3 : 1.
∴ A’s 1 day’s work = (1/12 x2/3)= 1/16
Hence,A alone can finish the work in 16 days.
Answer D
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3100, A will get:
A.Rs.1200
B.Rs.1500
C.Rs. 1860
D.Rs.2000
Answer: C.Rs. 1860
Explanation: Explanation:
Ratio of working days of A : B = 10 : 15
Therefore, their wages ratio = reverse ratio = 15 : 10
Therefore, A will get 15 units of ratio
Total ratio = 25
1 unit of ratio =3100/25 = 124
So, A’s amount = 124 × 15 = Rs.1860.
Answer: Option C
Question: A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed .
A.30 km/hr
B.40 km/hr
C.55 km/hr
D.60 km/hr
Answer: C.55 km/hr
Explanation: relative speed of trains = 220/10 mtrs/sec = 220*18/(10*5)= 79 km/hr
speed of 2nd train = 79-24=55 km/hr
ANSWER:C
Question: In division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 3 as quotient. What the correct quotient?
A.0
B.12
C.13
D.20
Answer: D.20
Explanation: Number = (12*35)=420
Correct Quotient=420/21=20
Correct Option: D
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
A.6 hours
B.8 hours
C.3 hours
D.1 hours
Answer: C.3 hours
Explanation: Part filled by A + B + C in 1 hour
= 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.
Answer: C
Question: The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A.kmph
B.kmph
C.kmph
D.kmph
Answer: D.kmph
Explanation: Speed downstream = 80 + 20 = 100 kmph
Speed upstream = 80 - 20 = 60 kmph
Answer:D
Question: A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.5
B.6
C.21
D.8
Answer: C.21
Explanation: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [385 * 3/55] sec = 21 sec
Answer: C
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
A.276
B.299
C.322
D.345
Answer: C.322
Explanation: Clearly, the numbers are (23 * 13) and (23 * 14). Larger number = (23 * 14) = 322.
ANSWER:C
Question: When a Mobile is sold for Rs. 7200, the owner loses 20%. At what price must that Mobile be sold in order to gain 20%?
A.10,400
B.10,600
C.10,800
D.11,000
Answer: C.10,800
Explanation: 80 : 7200 = 120 : x
x = (7200 x 120)/80 = 10800.
Hence, S.P. = Rs. 10,800.
Answer: Option C
Question: x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) – (10x + z) could be equal to
A.32
B.36
C.45
D.64
Answer: B.36
Explanation: 1) firstly we are not given that all are different integers..
2) since each is a positive single digit integer and x=a/4... a can take only 4 and 8 as value, and x can take 1 and 2..
3) same as 2) for b and z.
so in (10a + b) – (10x + z) ..
10a+b can be
44,48,84,88..
10x+z can be
11,12,21,22..
Ans :B
Question: Seth opened a shop investing Rs.6000. Taylor joined him after one year, investing Rs.10000. They earned a profit of Rs.1100 after completion of two years. What will be Taylor's share of profit?
A.600
B.700
C.500
D.800
Answer: C.500
Explanation: SoL = ~s- So Anju’s share = [5/11] x 1100 = 500
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.288 m
B.267 m
C.888 m
D.150 m
Answer: D.150 m
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: D
Question: In an election between two political leaders 10% of the voters did not cast their vote. 10% of the votes polled were found invalid. The successful political leader got 54% of the valid, votes and won by a majority of 3240 votes. The number of voters enrolled on the voters list was :
A.30000
B.50000
C.33000
D.40000
Answer: B.50000
Explanation: Explanation :
Solution: Let the number of voters be x. then, votes polled = 90% of x.
Valid votes = 90% of(90% of x)
.'. 54% of[90% of(90% of x)] - 46% of[90% of(90% of x)] = 3240.
8% of[90% of(90% of x)] = 3240.
8/100 * 90/100 * 90/100 * x = 3240
x = (3240*100*100*100)/(8*90*90) = 50000
Answer : B
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.19 sec
B.87 sec
C.36 sec
D.34 sec
Answer: D.34 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 100 = 340 m.
Time taken = 340/10 = 34 sec.
Answer: D
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.11
B.444
C.468
D.287
Answer: C.468
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 18 + 21 = 39
T = 12
D = 39 * 12 = 468
Answer:C
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.227
B.299
C.277
D.860
Answer: D.860
Explanation: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Answer: D
Question: What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110?
A.10
B.25
C.55
D.75
Answer: C.55
Explanation: Surprisingly no one answered this easy one.
property of a set of consecutive integerz.
mean=median=(first element+last element)/2 = (second element+last but one element)/2 =(third element+ third last element)/2 Etc. Etc.
So mean=median=110/2=55
Answer is C
Question: The average weights for Tom,Jack,Rose was 90kg. The average weights for Jack,Rose,John was 100kg. If the weight of John be 50kg, what was the weight of Tom?
A.20
B.44
C.37
D.42
Answer: A.20
Explanation: Explanation:
T + J + R = 90 × 3 = 270
J+R+J = 100× 3 = 300
Also, weight of John = 50
Weight of Tom = 270+50-300 =20kg
Answer: Option A
Question: If e is an even integer and e/18 is an odd integer, which of the following is NOT an even integer?
A.(e^2)/54
B.(e^2)/12
C.(e^2)/9
D.(e^2)/6
Answer: B.(e^2)/12
Explanation: since e is an even integer and e/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the e/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)
now, any expression in which we have 4 at the denominator will be odd. out of the given options only 12 is a multiple of 4. hence answer should be B
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 3-hour period?
A.88
B.56
C.42
D.25
Answer: D.25
Explanation: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
3 hour = 180 minutes.
In 180 minutes operator can make 180/7=25 trips.
Answer: D.
Question: List A consists of 12 consecutive integers. If -4 is the least integer in list A, what is the range of positive integers in list A?
A.5
B.6
C.7
D.11
Answer: B.6
Explanation: Since -4 is the least integer in list A, then 7 is the largest integer in that list. Thus the range of the positive integers in the list is 7-1=6.
Answer: B.
Question: What profit percent is made by selling an article at a certain price, if by selling at 4/5rd of that price, there would be a loss of 20%?
A.0%
B.29%
C.70%
D.27%
Answer: A.0%
Explanation: SP2 = 4/5 SP1
CP = 100
SP2 = 80
4/5 SP1 = 80
SP1 = 100
100 --- 100 => 0%
Answer: A
Question: Three-twentieths of the members of a social club are retirees who are also bridge players, six-twentieths of the members are retirees, and one-half of the members are bridge players. If 130 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
A.240
B.300
C.200
D.400
Answer: C.200
Explanation: {Total} = {Retirees} + {Bridge players} - {Both} + {Neither}
x = 6/20*x + x/2 - 3/20*x + 130
20x = 6x + 10x - 3x + 130*20 (multiply by 20)
13x = 130*20
x = 200.
Answer: C
Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
A.200
B.450
C.350
D.500
Answer: A.200
Explanation: . (3 men out 6) and (2 ladies out of 5) are to be chosen.
Required number of ways = (6c3x5c2)
= [6x5x4/3x2x1] x [5x4/2x1] = 200.
ANSWER A
Question: Zack has 3 red fish, 5 yellow fish and 7 green fish. How many fish does he have in all?
A.8
B.5
C.15
D.1
Answer: C.15
Explanation: 3+5+7=15. Answer is C
Question: The product of n consecutive positive integers is always divisible by?
A.n^2 -1
B.(n+1)!
C.2n +1
D.n^2 + 1
Answer: D.n^2 + 1
Explanation: Plug in some vlues and check -
Product of first 2 number is 2*1
Product of first 3 number is 3*2*1
Product of first 4 number is 4*3*2*1
Product of first 5 number is 5*4*3*2*1
So, The product of first n natural numbers is always divisible by n! , answer will be (D)
Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. What might be the weight of the new person ?
A.90 kg
B.55 kg
C.45 kg
D.85 kg
Answer: A.90 kg
Explanation: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (70 + 20) kg = 90 kg.
Answer: A
Question: What is the remainder when 1201 × 1202 ×1204 × 1205 is divided by 6?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: The remainders when dividing each number by six are: 1, 2, 4, and 5.
The product is 1*2*4*5 = 40
The remainder when dividing 40 by 6 is 4.
The answer is D.
Question: The population of a village is 15540. It increases annually at the rate of 28% p.a. What will be its population after 2 years?
A.10000
B.25460
C.26709
D.14000
Answer: B.25460
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
15540 × 128/100 × 128/100 = 25460
B
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 120 m is?
A.286 m
B.180 m
C.200 m
D.166 m
Answer: B.180 m
Explanation: 2(l + 120) = 600 => l
= 180 m
Answer: B
Question: What is the average of xx, 2x2x, and 66?
A.x+2
B.x+2x
C.x+2x+2
D.2x+2
Answer: C.x+2x+2
Explanation: By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or Option C