RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on the first 3 flips but not on the last 3 flips?
A.1/8
B.1/16
C.1/32
D.1/64
Answer: D.1/64
Explanation: P(HHHTTT) = 1/2*1/2*1/2*1/2*1/2*1/2 = 1/64
The answer is D.
Question: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of a gamma raised to the seventh power and a delta raised to the seventh power?
A.alpha
B.beta
C.gamma
D.delta
Answer: A.alpha
Explanation: Solution : 2 is gamma and 3 is a delta. 2^7 + 3^7 will have a units digit as 8+7=5. So, label is alpha.
or
alpha : 5k
beta : 5k +1
gamma : 5K+2
delta : 5k+3
epsilon : 5K+4
(5k + 2)^7 has unit digit as 8 or 3
(5k + 3)^7 has unit digit as 7 or 2
In any case (5k + 2)^7 + (5k + 3)^7 will have units digit as 0 or 5 which is a alpha.
Option A
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
A. 4
B. 6
C. 9
D. 10
Answer: A. 4
Explanation: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides
A
Question: If a person sells a wooden furniture at 8% profit against 8% loss, then he could had earned Rs12 more. What is the cost price of furniture?
A.72
B.70
C.80
D.75
Answer: D.75
Explanation: Answer
Let Cost Price (CP) = x
Then Selling Price(SP) if he sells at profit = x(1+8%) = 1.08x
and SP, if he sells at loss = x(1-8%) = 0.92%
Given, 1.08%-0.92% = Rs12
0.16x = Rs.12
⇒x = Rs.75
Correct Option: D
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A.21 (1/8)
B.21 (1/3)
C.21 (7/3)
D.22 (1/3)
Answer: B.21 (1/3)
Explanation: Let the total distance be x km
total time taken = (x/4)/16 + (3x/4)/24 = x/64 + x/32 = 3x/64
Average speed = x/(3x/64) = 64/3kmph = 21 (1/3)kmph.
Answer: B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1395 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.Rs. 4500
B.Rs. 4800
C.Rs. 5250
D.Rs. 7626
Answer: D.Rs. 7626
Explanation: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1395
45k = 1395 => k = 31
246k = 246(31) = Rs. 7626
Thus the total rent paid by all the four agencies is Rs. 7626.
ANSWER:D
Question: A person purchased a TV set for Rs. 14000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.16.82%
B.87.82%
C.53.82%
D.17.82%
Answer: C.53.82%
Explanation: The total CP = Rs. 14000 + Rs. 6250 = Rs. 20250 and SP
= Rs. 31150
Profit(%) = (31150 - 20250)/20250 * 100
= 53.82%
Answer:C
Question: Lilly has 10 fish and Rosy has 12 fish. In total, how many fish do they have in all?
A.18
B.20
C.22
D.24
Answer: C.22
Explanation: 10+12=22
The answer is C.
Question: 33 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.10
B.11
C.13
D.18
Answer: B.11
Explanation: Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 30 : 33 :: 12 : x
Working hours/day 6 : 5
30 x 6 x x = 33 x 5 x 12
x = (33 x 5 x 12)/(30 x 6)
x = 11
ANSWER B
Question: If x+y=-4, and x=6/y, what is the value of x^2+y^2?
A.10
B.15
C.6
D.4
Answer: D.4
Explanation: x^2 + y^2 should make you think of these formulas:
(x+y)(x+y) = x^2+y^2+2xy
We already know (x+y) = -4 and x*y = 6
(x+y)(x+y) = (-4)(-4) = x^2+y^2+2*(6)
x^2+y^2 = 16 - 12 = 4
Answer : D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A.3/6
B.3/2
C.3/3
D.3/5
Answer: B.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train
= 27 x meters, and length of the second train
= 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y
==> 4 x = 6 y ==> x/y
= 3/2.
Answer:B
Question: During the last 5 days, John ran 5 miles per day on average. How many miles must he run tomorrow to increase his daily average to 7 miles per day.
A.2
B.7
C.17
D.30
Answer: C.17
Explanation: Solution
Average after 6 days = 7
âˆ´ Required miles to run= (6 days x 7 miles/day)-(5 days x 5 miles/day)
= 42 - 25
= 17.
Answer C
Question: A man buys $50 shares in a company which pays 10% dividend. If the man gerts 12.5% on his investment, at what price did he buy the shares?
A.$37.5
B.$40
C.$50
D.$48
Answer: B.$40
Explanation: Dividend on 1 share = $(10/100*50)
=$5
$12.5 is an income on an investment of $100
$5 is an income on an investment of $(100*2/25*5)=40
Thus, cost of 1 share =$40
option B
Question: If m > 1 and n = 2^(m+3), then 4^m =
A.16n^2
B.4n^2
C.8n^2
D.n^2/64
Answer: D.n^2/64
Explanation: n = 2^(m+3) = 2^m*8
2^m = n/8
4^m = (2^m)^2 = (n/8)^2 = n^2/64
The answer is D.
Question: A party supply store sells noisemakers arranged on display such that each of the three different colors of noisemakers, red, blue, and purple are consecutive in a repeating pattern. If four consecutively displayed noisemakers are purchased, what is the probability that two of the noisemakers are purple?
A.2/3
B.1/9
C.2/9
D.1/3
Answer: D.1/3
Explanation: After red, blue, and purple, the next noisemakers can be of any given three colours, therefore we have total three possibilites, out of which we need purple i.e. 1 therefore prob is 1/3. Correct answer is D.
Question: if A fills a tank in 30mins,and B fills the same tank in 20mins,and C emptys it in 40min ,if A,B,C works together how much time will the tank take to fill?
A.15.14mins
B.16.14mins
C.17.14mins
D.18.14mins
Answer: C.17.14mins
Explanation: 1/30+1/20-1/40=7/120
so total time=120/7
=17.14mins
ANSWER:C
Question: In how many ways can 5 men & 4 women can be made from a gang of 6 men & 6 women ?
A.10
B.21
C.24
D.27
Answer: B.21
Explanation: Explanation:
6C5* 6C4 = 21
B
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the sixth digit of p, counting right to left from the units digit?
A.1
B.2
C.4
D.5
Answer: D.5
Explanation: C
Sum of unit digits of first 30 terms = 60
Sum of tens digits of first 30 terms = 58
Sum of thousands digits of first 30 terms = 56
and so on..
p1 = 0
p2 = (6+58) = 4
p3 = (6+56) = 2
p4 = (6+54) = 0
p5 = (6+52) = 8
p6 = (5+50) = 5
ANSWER :D
Question: A train sets off at 2 p.m. at the speed of 80 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
A.3.30 p.m.
B.4.30 p.m.
C.3.50 p.m.
D.9.30 p.m.
Answer: A.3.30 p.m.
Explanation: D = 80 * 1 ½ = 120 km
RS = 85 – 80 = 5
T = 120/5 =24 h
3.30 + 24 h =3.30 p.m.
ANSWER:A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
A.40%
B.50%
C.55%
D.60%
Answer: B.50%
Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Question: Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 25 t-shirts. How much money did she spend?
A.$150
B.$248.75
C.$200
D.$171.6
Answer: B.$248.75
Explanation: $9.95*25=$248.75. Answer is B.
Question: The value of land increases by a% during June and decreases by b% during July. If the value of the land is the same at the end of July as at the beginning of June, what is b in terms of a?
A.200a/(100+2a)
B.100a/(100+a)
C.a(2+a)/(1+a)2
D.a(200+a)/10000
Answer: B.100a/(100+a)
Explanation: let the value of land be : x
it is increased by a%, new value= (x)+(ax/100)
now, it is decreased by b%, such that it equals the initial value
hence final value of land= x(1+a/100) - x(1+a/100)(b/100)= x(1+a/100)(1-b/100)=x
solving for b you get b=100a/(100+a)
ANSWER:B
Question: A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
A.16.67%
B.20%
C.25%
D.30%
Answer: A.16.67%
Explanation: Let, Tank capacity = T gallon
Used Fuel = (T-8) gallons
Distance Travelled (@60 miles/hr) = 80 miles
Distance travelled in 1 gallon = Distance travelled in 20 mins (@60 miles/hr) = (60/60)*20 = 20 miles
Fuel used to travel 80 miles = (80/20) = 4 gallon
i.e. Used fuel = (T-8) = 4 gallon
i.e. T = 12 Gallons
i.e. Used Fuel = (2/12)*100 =16,67%
A
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A.52
B.24
C.27
D.26
Answer: B.24
Explanation: Let the ten's and unit digit be x and	8/x	respectively.
Then, 10x +	8/x + 18 = 10 x	8/x	+ x
10x2 + 8 + 18x = 80 + x2
9x2 + 18x - 72 = 0
x2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = 2.
Answer:B
Question: Average age of students of an adult school is 46 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
A.1200
B.120
C.360
D.168
Answer: D.168
Explanation: Explanation :
Let the original no. of students be x.
According to situation, 46x + 120*32 = (x + 120)36 ⇒ x = 48
So, Required no. of students after joining the new students
= x + 120 = 168.
Answer : D
Question: A man can row three - quarters of a kilometer against the stream in 11¼minutes. The speed(in km/hr) of the man in still water is
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: Solution
Rate upstream	= (750 / 675)m/sec
= (10 / 9) m/ sec.
Rate downstream	= (750 / 450)
=(5 / 3) m/sec
Rate in still water	= 1/2(10 /9 + 5/3)
= (25/18x18/5)km/hr
= 5 km/hr.
Answer D
Question: In Arun's opinion, his weight is greater than 65 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
A.86.5 kg
B.66.5 kg
C.46.5 kg
D.26.5 kg
Answer: B.66.5 kg
Explanation: Let Arun's weight be X kg.
According to Arun, 65 < X < 72.
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X < 68.
The values satisfying all the above conditions are 66 and 67.
Required average = (66 + 67) / 2 = 66.5 kg
Answer: B
Question: For any positive integer n, the length of n is defined as number of prime factors whose product is n, For example, the length of 75 is 3, since 75=3*5*5. How many two-digit positive integers have length 6?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: Length of a number = Total number of prime factors of the number.
Any composite number can be represented as a product of prime numbers as shown below:
N= 2^x * 3^y * 5^z * 7^a ...so on
Since our requirement is a two digit number, we shall raise maximum power for smallest prime factor.
N= 2^6 = 64 has Length 6
N= 2^5 * 3 = 96 has length 6
N=2^4 * 3^2 = 144 is a three digit number and so on the other combinations would reveal 3 digit numbers.
Hence there are only 2 numbers
ANSWER:C
Question: Which of the following best approximates the value of q if 20^50+20^11=20^q ?
A.61
B.52
C.51
D.50
Answer: D.50
Explanation: We have: 20^50+20^11=20^q
==> because 20^11 > 0 --> 20^q MUST be equal or greater than 20^50 ==>q MUST be equal or greater than 50
==> Option E is out immediately.
Divide both sides by 20^q and q >= 50
We have:
20^(50-q) + 20^11/20^q = 1
Because q >= 50 ==>20^11/20^q = 0.0000xyz, that is very small,we can ignore it.
Thus, 20^(50-q) must be approximately 1
==> 50-q = 0 ==> q is approximately 50
D is the answer.
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A.2600
B.2700
C.2900
D.3900
Answer: D.3900
Explanation: 10c=4t
15c+2t=4000
take the cost of c & t is 2000 b'coz 10c + 4t cost is same. and divid 2000 by 10 as well as 4 and get c & t cost as,
1t-500
1c-200
therefore,
12c-2400 + 3t-1500 = 3900.
answer -D
Question: The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
A.2.4%
B.2.6%
C.0.3%
D.2.0%
Answer: C.0.3%
Explanation: (1500 * R1 * 3)/100 - (1500 * R2 * 3)/100 = 13.50 4500(R1 - R2) = 1350
R1 - R2 = 0.3%
Answer:C
Question: Find the slope of the line perpendicular to the line y = (1/3)x - 7
A.-1
B.-2
C.-3
D.-4
Answer: C.-3
Explanation: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 3. If m is the slope of the line perpendicular to the given line, then
m × (1/3) = -1
Solve for m
m = - 3
correct answer C) -3
Question: A and B started a business investing Rs. 92,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
A.9:2
B.3:2
C.23:5
D.18:4
Answer: C.23:5
Explanation: A: B = 92000 : 20000
= 92 : 20
= 46 : 10
= 23 : 5
ANSWER:C
Question: On decreasing the price of a colour TV by 20%, its sale is increased by 30%. The effect on the revenue is?
A.4% decrease
B.4% increase
C.16% decrease
D.16% increase
Answer: B.4% increase
Explanation: Net% change in revenue
= ( x + y + xy/100) %
= [-20 + 30 + ( -20 x 30)/100]% or 4%
ANSWER:B
Question: If p shirts can be purchased for q dollars, how many shirts can be purchased for r dollars?
A.q/pr
B.q/p
C.pr/q
D.p/(qr)
Answer: C.pr/q
Explanation: Ans = C
Question: How many of the positive divisors of 360 are also multiples of 4 not including 360?
A.8
B.11
C.12
D.15
Answer: B.11
Explanation: 360 = 2^5 * 3 * 5 = (4) * 2 * 3^2 * 5
Besides (4), the exponents of 2, 3, and 5 are 1, 2, and 1.
There are (1+1)(2+1)(1+1) = 12 ways to make multiples of 4.
We must subtract 1 because one of these multiples is 360.
The answer is B.
Question: If (A+B) = 14, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
A.16.
B.8.
C.7.
D.2.
Answer: B.8.
Explanation: Given A+B = 14 => A = 14 - B --> Eq 1
B+C = 9
C+D = 3 => D = 3 - C --> Eq 2
Then Eqs 1 + 2 => A + D = 14 - B + 3 - C
=> 17 - (B+C)
=> 17 - 9 = 8.
Option B...
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 210,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
A.77,500
B.1,860,000
C.2,480,000
D.3,360,000
Answer: D.3,360,000
Explanation: 210,000 × 2 × 2×2×2 = 210,000 × 16 = D
Question: Nine men went to a hotel. Eight of them spent Rs.1 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
A.19.28
B.10.28
C.11.28
D.14.28
Answer: B.10.28
Explanation: Average of 9 = x
9x = 8 * 1 + x * 2
x = 1.14
Total = 9 * 3.25 = 10.28
ANSWER:B
Question: TheOG 13thed page 193 #77 says
If n = 90! + 87, then n is divisible by which of the
following?
I. 15
II. 17
III. 19
A. None
B. I only
C. II only
D. I and II
Answer: B. I only
Explanation: The example you have taken
n = 4! + 4 = 4(3!+1)
The equation gets further simplified to deviate the expected results
Try some other examples
7! + 4
9! + 5
4! + 3
Answer:B
Question: A1B, D4F, H9K,then find next term ?
A.M16Q
B.L25P
C.N36P
D.N25S
Answer: A.M16Q
Explanation: By giving the number to alphabets, we get
A - B = 1-2 = -1 --> -1^2 = 1
D - F = 4-6 = -2 --> -2^2 = 4
H - K = 8-11= -3 -->-3^2 = 9
: :
: :
M - Q = 13-17=-4 --->-4^2 = 16
ANSWER:A
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
A.16 min. to empty
B.6 min. to full
C.9 min. to empty
D.9 min. to full
Answer: A.16 min. to empty
Explanation: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.
Part to be emptied = 2/5
Part emptied by (A + B) in 1 minute = (1/8 - 1/10) = 1/40
1/40 : 2/5 :: 1 : x
x = (2/5 * 1 * 40) = 16 min.
So, the tank will be emptied in 16 min.
ANSWER:A
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 6 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
A.34 yrs, 23 yrs
B.32 yrs, 29 yrs
C.35 yrs, 29 yrs
D.35 yrs, 33 yrs
Answer: A.34 yrs, 23 yrs
Explanation: Sol.
Clearly, my brother was born 3 years before I was born and 6 years after my sister was born.
So, father's age when brother was born = (28 + 6) = 34 years.
mother's age when was born = (26 - 3) years = 23 years.
Answer A
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +2B +3C?
A.6A+7.
B.5A+1.
C.5A-1.
D.7A-8.
Answer: D.7A-8.
Explanation: B = A-1
C= A-2
Putting these values in 2A +2B +3C we get 7A-8
D is the answer
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
A.29
B.27
C.29
D.50
Answer: D.50
Explanation: 5 * 46 – 4 * 45 = 50
Answer: D
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
A.57%
B.60%
C.65%
D.90%
Answer: A.57%
Explanation: total votes are 20400 ( sum of votes obtained by 3 candidates)
percentage of the total votes recd by the winning candidate = 100*11628/20400 = 57%
ANSWER:A
Question: Jade has 4 flavors of ice cream in his parlor. How many options are there for James to pick a one-flavor, two-flavor, three-flavor or four-flavor order?
A.15
B.13
C.14
D.17
Answer: A.15
Explanation: 4C1 + 4C2+ 4C3+4C4 = 15.
Answer: A
Question: At a special sale, 8 tickets can be purchased for the price of 6 tickets. If 8 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 8 tickets?
A.25%
B.33.3%
C.40%
D.60%
Answer: A.25%
Explanation: let the price of a ticket be Rs.100, so 6 tickets cost 600 & 8 tickets cost 800
8 tickets purchased at price of 6 tickets ie., for 600, so amount saved s Rs.200,
% of 6 tickets = (200 /800)*100 =25 %
ANSWER:A
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand?
A.12
B.13
C.14
D.15
Answer: C.14
Explanation: Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 10 = 1/3 (b - 10) --- (1)
b = a + 8
Substituting b = a + 12 in first equation,
a - 10 = 1/3 (a - 2) => 3a - 30 = a - 2
=> 2a = 28 => a = 14.
ANSWER:C
Question: How long does a train 110metres long running at the speed of 72 km/hr take to cross a bridge 132metres in length?
A.10
B.11.1
C.12.1
D.31.2
Answer: C.12.1
Explanation: speed = 72*5/18 = 20m/s
total distance covered = 110+132 = 242m
required time = 242/20 = 12.1 sec
Answer is C
Question: Joe drives 420 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
A.42
B.54
C.50
D.54
Answer: B.54
Explanation: t1= 420/60=7 hours
t2=120/40=3 hours
T=t1+t2=10 hours
Avg speed = Total Distance/T
= 540/10 = 54mph=B
Question: A works twice as fast as B. if both of them can together finish a piece of work in 12 days, then B alone can do it in
A.24 days
B.27 days
C.36 days
D.48 days
Answer: C.36 days
Explanation: Explanation:
B = 2A
2A × A/3A = 12
2A/3 = 12
A = 18 days
B = 2 × 18 = 36 days
Therefore, B alone can finish the work in 36 days.
Answer: Option C
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 2 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
A.12
B.8
C.5
D.4
Answer: A.12
Explanation: 50 Employees. Counting every different attendand to the courses we have:
Accounting: 22
Finance: 15
Marketing: 14
Which would add up to 51 different attendands, which is not possible.
Now 9 have taken exactly 2 courses, which means that there are 9 less different attendands. Say that 9 of the Finance attentands also attended Accounting.
51-9= 42
2 Person has taken all three courses. As above, we subtract him from the number of different attendands. Since this time the person took all three courses, we have to substract him two times.
42-4= 38.
Answer : A
Question: Jackson invested $200,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
A.$115,384
B.$120,000
C.$121,072
D.$124,129
Answer: A.$115,384
Explanation: x be the amount invested in account P
0.12*x +(200000-x)*0.25=60,000
15000/.13=x
x=1500000/13=11...=$105,384
hence answer is A
Question: In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected?
A.508
B.400
C.800
D.570
Answer: B.400
Explanation: We can select one boy from 20 boys in 20 ways.
We select one girl from 20 girls in 20 ways
We select a boy and girl in 20 * 20 ways i.e., = 400 ways.
Answer:B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.17 1/7
B.2/7
C.8/5
D.4/9
Answer: A.17 1/7
Explanation: Explanation:
1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
So, both together will finish the work in 17 1/ 7 days.
Answer:A
Question: A cab driver 5days income was $45, $50, $60, $65 , $70. Then his average income is?
A.$58
B.$42
C.$65
D.$48
Answer: A.$58
Explanation: avg = sum of observations/number of observations
avg income=(45+50+60+65+70)/5 = 58
Answer is A
Question: An isosceles triangle has angles with ratios 1:2:2. What is the measurement of the angle within the triangle with ratio 2?
A.36Â°
B.46Â°
C.72Â°
D.92Â°
Answer: C.72Â°
Explanation: Given that the ratio is 1:2:2 and that the total angle measurement within a triangle is 180Â°, the equation is
1x + 2x + 2x = 180Â°
5x = 180Â°
x = 36Â°
But since we want to find the angle measurement with ratio 2, we multiple x by 2
2x = 2(36Â°) = 72Â°
Therefore, the answer is 72Â° or C.
Question: A candidate got 40% of the votes polled and he lost to his rival by 5000 votes. How many votes were cast?
A.25000
B.2028
C.2775
D.5496
Answer: A.25000
Explanation: 40%-----------L
60%-----------W
------------------
20%----------5000
100%---------? => 25000
Answer:A
Question: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2012) = ?
A.2013
B.2088
C.270
D.1881
Answer: A.2013
Explanation: f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2012) = 2013
Ans: A