RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In how many ways can 4 men & 3 women can be made from a gang of 6 men & 7 women ?
A.10 hr
B.50
C.20
D.250
Answer: B.50
Explanation: Explanation:
6C4 * 7C3 = 50
B
Question: The side of a square is increased by 10% then how much % does its area increases?
A.40.00 %
B.10.00 %
C.25.00 %
D.21.00 %
Answer: D.21.00 %
Explanation: a = 100 a2 = 10000
a = 110 a2 = 12100
----------------
10000 --------- 2100
100 -------? => 21.00 %
Answer:D
Question: Two dice are tossed. The probability that the total score is a prime number is:
A.5/12
B.5/10
C.6/12
D.9/12
Answer: A.5/12
Explanation: Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E	= { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5) }
n(E) = 15.
P(E) = n(E)/n(S) = 15/36	= 5/12.
Answer:A
Question: The average (arithmetic mean) of y numbers is x. If 10 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
A.x/6 - 6
B.x/6 - 5
C.x/7 - 5
D.x/5 - 3
Answer: D.x/5 - 3
Explanation: (A1 + A2 + .. + Ay)/y = x
(A1 + A2 + .. + Ay + 10)/(y+1) = x - 5
=> (xy + 10)/(y+1) = x - 5
=> xy +10 = yx -5y + x - 5
=> 15 = x - 5y
=> 5y = x - 15
=> y = x/5 - 3
Answer - 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.36.3
B.36.7
C.36.5
D.36.2
Answer: C.36.5
Explanation: Correct sum = (36 * 50 + 48 - 23)
= 1825.
Correct mean = 1825/50
= 36.5
Answer:C
Question: A division of a company consists of six men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
A.1/6
B.2/5
C.2/11
D.5/12
Answer: C.2/11
Explanation: Total number of ways to select 2 members = 11C2 = 55
Total number of ways to select 2 females = 5C2 = 10
P(two females) = 10/55 = 2/11
The answer is C.
Question: HOW MANY KGS OF TEA WORTH RS.20/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 10%
A.3
B.4
C.6
D.5
Answer: A.3
Explanation: (x+30)*30=(110/100)(20x+30*30)
Solving we get 3.
Answer is A.
Question: Find the natural number nearest to 9217 which completely divides 88 without giving any remainder.
A.9240
B.9064
C.9184
D.9152
Answer: A.9240
Explanation: Explanation:
These types of questions are to be solved by trial and error. Make sure minimum amount of time is wasted and your calculations are quick. Devote maximum 1 minute to such questions.
Here in this case clearly 9240 is the closest number which divides 88.
ANSWER: A
Question: If 15 students in a class average 70% on an exam and 10 students average 90% on the same exam, what is the average in percent for all 25 students?
A.78%
B.79%
C.80%
D.81%
Answer: A.78%
Explanation: (15*70 + 10*90) / 25 = 78%
The answer is A.
Question: If X,Y is 24%,30% smaller than Z then how much percentage is Y greater than X?
A.7 17/19 %
B.13%
C.13 1/2%
D.14%
Answer: A.7 17/19 %
Explanation: X = 76%
Y = 70 %
Z = 100 %
X-Y/X × 100 = 6/76 × 100 = 7 17/19 % greater than X
A)
Question: The difference between a number and its two-fifth is 510. What is 40% of that number?
A.342
B.340
C.344
D.346
Answer: B.340
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
40% of 850 = 340.
Answer:B
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of
the boat in still water is
A.12 kmph
B.13 kmph
C.14 kmph
D.15 kmph
Answer: C.14 kmph
Explanation: Explanation:
Rate upstream = (7/42)*60 kmh = 10 kmph.
Speed of stream = 4 kmph.
Let speed in still water is x km/hr
Then, speed upstream = (x ï¿½4) km/hr.
x-4 = 10 or x = 14 kmph
Answer: C
Question: If A:B = 1/3: 1/2 B:C = 1/3:1/2 then A:B:C?
A.4:6:9
B.6:6:9
C.7:6:9
D.6:8:9
Answer: A.4:6:9
Explanation: A:B = 1/3:1/2 = 2:3
B:C = 1/3:1/2 = 2:3
--------------------
A:B:C = 4:6:9
Answer: A
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total R of the book?
A.3003
B.3027
C.3024
D.3021
Answer: A.3003
Explanation: First, you have to find the common ratio for all 3 books. You have:
P:C:B
3:2 --> multiply by 2 (gives you row 3)
4:6
6:4:3
Hence:
P:C:B:T(Total)R
6:4:3:13 ----> This means, the Total Number must be a multiple of 13.
Answer A is correct since 299 is divisible by 13, hence is 2990 and so is 3003 (2990+13).
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y is odd
II. (x+z)/y is an integer
III. xz is even
A.I only
B.II only
C.III only
D.I and II only
Answer: B.II only
Explanation: consecutive odds are:
2x+1, 2x+3, 2x+5
I. 2x+1+2x+3=4x+4=2(2x+2), so divisible by 2 and even - NOT TRUE
II. 2x+1+2x+5=4x+6/2x+3=2(2x+3)/2x+3=2, so integer - TRUE
III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so NOT TRUE
ANSWER: B
Question: A table is bought for Rs.1020/- and sold at Rs.750/- find the loss percentage
A.26% Loss
B.10% Gain
C.20% Loss
D.20% Gain
Answer: A.26% Loss
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (750 ~ 1020)/1020 = 26% Loss
A
Question: Riya and Priya set on a journey. Riya moves eastward at a speed of 25kmph and Priya moves westward at a speed of 40 kmph.How far will be priya from Riya after 15 minutes
A.18kms
B.16kms
C.50kms
D.30kms
Answer: B.16kms
Explanation: total eastward distance= 25kmph*1/4hr=6.25 km
total westward distance= 40kmph*1/4hr=10 km
total distn betn them= 6.25+10=16.25km
ans 16km
ANSWER:B
Question: An unbiased die is tossed. Find the probability of getting a multiple of 4
A.A)1/3
B.B)2/5
C.C)1/4
D.D)1/6
Answer: D.D)1/6
Explanation: Here S = {1,2,3,4,5,6}
E = event of getting a multiple of 4
E = {4}
P(E) = 1/6
Answer is D
Question: The hen lays 3 eggs then she lays 6 eggs more. Totally how many eggs she lays?
A.3
B.9
C.19
D.11
Answer: B.9
Explanation: 3+6=9. Answer is B.
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. 2/z T 2/z=z
III. z T z/z-1=1
A.a.) I
B.b.) I and II only
C.c) I and III only
D.d) II and III only
Answer: B.b.) I and II only
Explanation: Statement I is TRUE
Statement II is TRUE
Statement III is not TRUE
Answer : B
Question: N is an even 3-digit number such that the last 3 digits of N^2 are N itself. What is the value of N?
A.141376
B.241376
C.141476
D.181376
Answer: A.141376
Explanation: 376*376=141376
ANSWER:A
Question: A 12% stock yielding 10% is quoted at :
A.83.33
B.110
C.112
D.120
Answer: D.120
Explanation: Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 12, money invested = Rs.(100/10X12) = Rs. 120.
∴ Market value of Rs. 100 stock =Rs. 120
Answer D
Question: Sheik Abdullah decides to buy 2 new cars for his collection. If he has to choose between nine different cars, what is the number of purchasing possibilities he has?
A.A)1312
B.B)1412
C.C)1512
D.D)1612
Answer: C.C)1512
Explanation: Sheik Abdullah decides to buy 2 new cars for his collection. He has to choose between nine different cars
8C3= 9*8*7*6/(2*1) = 1512 ANS:C
Question: At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors
A.25 to 3
B.10 to 9
C.9 to 50
D.6 to 25
Answer: A.25 to 3
Explanation: Correct
A
Question: If p = ||q – 3| – 2|, for how many values of q is m = 6?
A.5
B.4
C.3
D.2
Answer: D.2
Explanation: p = ||q – 3| – 2| can be 4 only and only when q-3= +/-8. so there are 2 values of q
Answer : D
Question: x% of y is y% of ?
A.x
B.100x
C.x/100
D.y/100
Answer: A.x
Explanation: Answer
Let x% of y = y% of A, then
⇒ xy / 100 = yA/100
∴ A = (xy/100) x (100/y) = x
Correct Option: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A. 40
A.87
B.8
C.46
D.44
Answer: D.44
Explanation: Explanation:
Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 4/9 (T - 8)
After adding milk, quantity of milk in the mixture = 6/11 T.
6T/11 - 8 = 4/9(T - 8)
10T = 792 - 352 => T = 44.
Answer: Option D
Question: If (n+2)!/n!=110, n=?
A.2/131
B.9
C.10
D.11
Answer: B.9
Explanation: (n+2)!/n!= 110
Rewrite as:[(n+2)(n+1)(n)(n-1)(n-2)....(3)(2)(1)]/[(n)(n-1)(n-2)....(3)(2)(1)]= 132
Cancel out terms: (n+2)(n+1) = 110
From here, we might just TEST the answer choices.
Since (11)(10) = 110, we can see that n = 9
B
Question: g is a negative number and h is a positive number, which of the following options must be positive?
A.2g/h
B.h/g
C.(a + b)^4
D.g/h
Answer: C.(a + b)^4
Explanation: A. 2g/h
-ve/+ve=-ve
B.h/g
-ve/+ve=-ve
C.(a + b)^2
will be positive irrespective of the absolute values of x and y
will be positive always
D.g/h
-ve/+ve=-ve
B.gh
-ve*+ve=-ve
Correct answer C
Question: In a right angled triangle, two sides are consecutive whole number in which one side is hypotenuse. what could be the possible length of third side?
A.277
B.361
C.269
D.171
Answer: B.361
Explanation: Explanation:
Pythagorean triplets are generated with each "odd number" greater than 1 by using a formula.
If n is an odd number, then Pythagorean triplet = n,n2−12,n2+12n,n2−12,n2+12.
Here 361 is an odd number. So the triplet is 361, 65160, 65161.
Answer:B
Question: In 1990 a total of p earthquakes occurred worldwide, some but not all of which occurred in Asia. If r of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
A.p/r
B.r/p
C.r/(p-r)
D.p/(p-r)
Answer: C.r/(p-r)
Explanation: We're given a couple of facts to work with:
1) There were a total of p earthquakes
2) Of those earthquakes, r of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
p = 5 total earthquakes
r = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for p and r and find the match...
Answer A: p/r = 5/2 NOT a match
Answer B: r/p = 2/5 NOT a match
Answer C: r/(p-r) = 2/(5-2) = 2/3 This IS a match
Answer D: p/(p-r) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (r/p) = 1-2/5 = 3/5 NOT a match
C
Question: The length of a rectangle is double its width. If the length is diminished by 5cm and the width is increased by 5cm then its area is increased by 75cm square. What is the length of the rectangle?
A.20
B.30
C.40
D.56
Answer: C.40
Explanation: Sol. According to question
(l-5)(b+5)-lb = 75
And l = 2b
So, b = 20, l = 40
Ans.(C)
Question: The two roots of the quadratic equation x2 - 85x + c = 0 are prime numbers. What is the
value of c?
A.84
B.166
C.332
D.664
Answer: B.166
Explanation: Assuming that two prime numbers x1 and x2 are the solutions, then x1 + x2 = 85.
Since 85 is an odd number, either x1 or x2 must be an even number. The only even prime
number is 2. Therefore, one number must be 2 and the other 83. Hence c = 2 *83 = 166.
correct answer B
Question: A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
A.18
B.19
C.71
D.16
Answer: A.18
Explanation: Let the present age of the person be x years.
Then, 3(x + 3) - 3(x - 3) = x
3x + 9 - 3x + 9 = x => x = 18
Answer:A
Question: A credit union customer borrowed $15,000, but received y dollars less than this due to discounting. If there was a separate $20 service charge, then, in terms of y, the service charge was what fraction of the amount that the customer received?
A.20/(15,000 + y)
B.25/(10,000 - y)
C.20/(15,000 - y)
D.20y/(15,000 - y)
Answer: A.20/(15,000 + y)
Explanation: The amount of money the customer received was (15,000 - y) dollars. The $20 service charge as a fraction of the amount received was, therefore, 20/(15,000 - y).
Answer: A.
Question: If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
A.10%
B.40%
C.30%
D.25%
Answer: B.40%
Explanation: Let C.P. of each article be Re. 1.
Then, C.P. of 50 articles = Rs. 50;
S.P. of 50 articles = Rs. 30.
Loss % = 20/50 * 100 = 40%
ANSWER:B
Question: P alone can complete a job in 12 days. The work done by Q alone in one day is equal to one-half of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: P's rate is 1/12
Q's rate is 1/24
The combined rate is 1/12 + 1/24 = 1/8
If they work together, the job will take 8 days.
The answer is D.
Question: Jane makes toy bears. When she works with an assistant, she makes 70 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
A.20%
B.80%
C.100%
D.180%
Answer: B.80%
Explanation: We can use fractional equivalents here to solve the problem
80% = 4/5; this means that in 1st case if she prepares 5 bears, in 2nd case she prepares 9 bears
10% = 1/10; this means that in 1st case if she needs 10 hours, in 2nd case she needs 9 hours
Now we come to productivity
Based on above fractional values the productivity in 1st case is 0.5 bears / hour and in the 2nd case it is 1 bear / hour
Hence the productivity is double with the assistant i.e. the increase in productivity is 80%
B
Question: Maya purchase 15 jars in a store then she returned 5 jars to store .Now how many jars she had?
A.A)5
B.B)11
C.C)19
D.D)10
Answer: D.D)10
Explanation: 15-5=10. Answer is D
Question: The principal that amounts to Rs. 4893 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
A.s. 3096
B.s. 4076
C.s. 4085
D.s. 4096
Answer: C.s. 4085
Explanation: Principal = [4913 / (1 + 25/(4 * 100))3]
= 4893 * 16/17 * 16/17 * 16/17 = Rs. 4085.
ANSWER:C
Question: Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, ... What number should fill the blank?
A.51
B.39
C.63
D.15
Answer: C.63
Explanation: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: Option C
Question: Increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by
A.12.1%
B.12.36%
C.12.94%
D.13.65%
Answer: B.12.36%
Explanation: 1.06*1.06*x = 1.1236*x
The answer is B.
Question: A and B together can do a work in 7 days. If A alone can do it in 56 days. In how many days can B alone do it?
A.11
B.8
C.21
D.20
Answer: B.8
Explanation: B
8
1/7 â€“ 1/56 = 1/8 => 8
Question: Pipes A and B can fill a cistern in 8 and 56 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A.13
B.14
C.16
D.18
Answer: B.14
Explanation: :
1/8 + 1/56 = 1/7
7 * 2 = 14.Answer:B
Question: A coin is tossed 4 times. What is the probability that the number of Heads is equal to the number of Tails?
A.1/8
B.1/4
C.3/8
D.1/2
Answer: C.3/8
Explanation: We have to find the probability that we get 2 heads and 2 tails in 4 tosses of the coin.
Using the binary formula and defining a head as a success,
P(2 heads in 4 tosses) = 4C2* (1/2)^2 * (1/2)^2
= 6/16
= 3/8
The answer is therefore (C)
Question: The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?
A.20%
B.40%
C.21%
D.44%
Answer: D.44%
Explanation: M . F = 120/100*120/100 = 36/25
Net % increase = ( M . F -1 ) *100 =( 36/25-1) * 100
11/25 *100 = 44 %
ANSWER:D
Question: If (y - 1)(z - 9) +15(z - 9) = 0, then which of the following must be true?
A. y = -4 and z = -3
B. y = -4 or z = -3
C. y = -4 or z = 9
D. y = 1 and z = 3
Answer: C. y = -4 or z = 9
Explanation: factor out:
(z-9)(y-1+15)=0
(z-9) (y+14) = 0
So by checking options we get ,
C.
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
A.0.35 cm2
B.17.5 cm2
C.8.75 cm2
D.55 cm2
Answer: C.8.75 cm2
Explanation: Explanation:
(5 * 3.5)/2 = 8.75
ANSWER IS C
Question: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A.75
B.60
C.35
D.45
Answer: A.75
Explanation: hr hand in 17/2 hrs = (360/12 * 17/2) =255
hr hand in 30 min = (360/60 * 30) = 180
req angle = (255-180) = 75d
ANSWER A
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 12375. What is the share of C?
A.Rs. 2250
B.Rs. 3375
C.Rs. 6750
D.Rs. 5625
Answer: B.Rs. 3375
Explanation: Explanation:
Let the investment of C be Rs. x.
The inverstment of B = Rs.(2x/3)
The inverstment of A = Rs. (3 × (2/3)x) = Rs. (2x)
Ratio of capitals of A, B and C = 2x : 2x/3 : x = 6 : 2 : 3
C's share = Rs. [(3/11) × 12375] = Rs. 3375
Answer: Option B
Question: The radius of a semi circle is 6.8 cm then its perimeter is?
A.32.7
B.32.4
C.22.4
D.34.9
Answer: D.34.9
Explanation: 36/7 r = 6.8 = 34.9
Answer:D
Question: A train covers a distance of 11 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A.m
B.m
C.m
D.m
Answer: C.m
Explanation: Speed = (11/10 * 60) km/hr
= (66 * 5/18) m/sec = 55/3 m/sec.
Length of the train = 55/3 * 6
= 110 m.
Answer:C
Question: In a 1000 m race, A beats B by 90 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
A.145 m
B.176 m
C.181 m
D.159 m
Answer: C.181 m
Explanation: By the time A covers 1000 m, B covers (1000 - 90) = 910 m.
By the time B covers 1000 m, C covers (1000 - 100) = 900 m.
So, the ratio of speeds of A and C =
1000/910 * 1000/900 = 1000/819 So, by the time A covers 1000 m, C covers 819 m.
So in 1000 m race A beats C by 1000 - 819 = 181 m.
Answer:C
Question: A train 210 m long passed a pole in 21 sec. How long will it take to pass a platform 310 m long?
A.19
B.32
C.52
D.74
Answer: C.52
Explanation: Speed = 210/21 = 10 m/sec.
Required time = (210 + 310)/10 = 52 sec.
Answer: C
Question: If x2 + kx - 3, is divisible by (x - 1), What is the value of k
A.-1
B.1
C.2
D.-1
Answer: C.2
Explanation: Explanation:
If x2 + kx - 3 is divisible by (x - 1) then x = 1
(1)2 + 1(k) - 3 = 0
1 + k - 3 = 0
k = 2
Answer: Option C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is?
A.4:5
B.7:3
C.4:4
D.7:8
Answer: B.7:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √49 : √9
= 7:3
Answer: B
Question: What are the last three number of this series 11234783131?
A.191
B.192
C.193
D.194
Answer: A.191
Explanation: 23-11= 12
47-23=24
83-47=36
131-83=48
Thus all differences are multiple of 8.
so, 131+60=191
ANSWER:A
Question: A mom and dad want to take thier 16 year old daughter, 14 year old son and 7 year old son on a trip to Six Flags. An adult ticket costs $25.50. A child under the age if 12 costs $20.50 and children under 5 are free. There is a promotion to get 15% off of two adult tickets when you buy two adult tickets at full price. How much will it cost the family total including the discount to purchase their tickets?
A.122.5
B.43.35
C.114.85
D.107.2
Answer: C.114.85
Explanation: 25.50*2= Y = 51.
Y*.15=7.65
Y-7.65=X = 43.35
Y= price of two adult tickets
X= price of two adult tickets after the discount
X+Y+20.50=114.85
The answer is C.
Question: If a certain sample of data has a mean of 18.0 and the value 26.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
A.3.75
B.3.5
C.3.15
D.3.85
Answer: C.3.15
Explanation: 26.0 is more than 2.5 standard deviations from 18 --> 26 > 18 + 2.5*{SD} --> 2.5*{SD} < 8 --> {SD} < 3.2. Only option C offers the standard deviation less than 3.2.
Answer:C
Question: A man saves Rs 100 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
A.Rs 331.01
B.Rs 362.01
C.Rs 362.02
D.Rs 362.03
Answer: A.Rs 331.01
Explanation: Explanation:
=[100(21/20Ã—21/20Ã—21/20)+100(21/20Ã—21/20)+100(21/20)]=662.02
Option A
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
A.15 sec
B.12 sec
C.10 sec
D.14 sec
Answer: C.10 sec
Explanation: C
10 sec
Convert kmph to mps. 36 kmph = 36 * 5/18 = 10 mps.
The distance to be covered is equal to the length of the train.
Required time t = d/s = 100/10 = 10 sec.
Question: 6persons enter a lift on the ground floor of a 9floor apartment. Assuming that each of them independently & with equal probability can leave the lift at any floor beginning with the first, what is the probability that all the 6persons are leaving the lift at different floors?
A.5P6/8^3
B.7P6/8^2
C.8P6/8^6
D.9P6/8^5
Answer: C.8P6/8^6
Explanation: Apart from the ground floor, there are 8 floors
Let's find out the total number of ways in which all the six persons can leave the
lift at eight different floors
The 1st person can leave the lift in any of the 8 floors (8 ways)
The 2nd person can leave the lift in any of the remaining 7 floors (7 ways)
The 3nd person can leave the lift in any of the remaining 6 floors (6 ways)
...
The 6th person can leave the lift in any of the remaining 3 floors (3 ways)
Total number of ways = 8 × 7 × 6 × 5 × 4 × 3 = 8P6
(In fact, from the definition of permutations itself,
we will be able to directly say that the number of ways in which all the six persons
can leave the lift at 8 different floors = 8P6)
n(E)= Total Number of ways in which all the six persons can leave the lift at eight
different floors = 8P6
Now we will find out the total number of ways in which each of the six persons
can leave the lift at any of the eight floors
The 1st person can leave the lift in any of the 8 floors (8 ways)
The 2nd person can leave the lift in any of the 8 floors (8 ways)
The 3nd person can leave the lift in any of the 8 floors (8 ways)
...
The 6th person can leave the lift in any of the 8 floors (8 ways)
Total number of ways = 8 × 8 × 8 × 8 × 8 × 8 = 86
i.e., The total number of ways in which each the six persons can leave the lift
at any of the eight floors = n(S) = 86
P(E) = n(E)n(S)=8P6/8^6
C
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.9
B.4
C.8
D.7
Answer: A.9
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: Donovan took a math test and got 35 correct and 11 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
A.57.78%
B.67.78%
C.76.09%
D.47.78%
Answer: C.76.09%
Explanation: 35 correct our of 46 total (35+11)
35/46
correct answer C
Question: What distance (in meters) will be covered by a bus moving at 54 km/hr in 15 seconds?
A.175
B.200
C.225
D.250
Answer: C.225
Explanation: 54 km/hr = 54 * 5/18 = 15 m/s
distance = 15 * 15 = 225 meters
The answer is C.
Question: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 50% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
A.33% less than N
B.25% less than N
C.equal to N
D.20% greater than N
Answer: A.33% less than N
Explanation: Correct answer is (A).
This year, the price of a tree is price1=P/N.
If this price increases by 50% it becomes price2=P/N*1.50
Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.50) i.e. N/1.5 i.e. .67% less*
A