RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 926 + 9.026 + 0.926 + 9.0026 = ?
A.944.9546
B.944.1246
C.944.4246
D.944.9446
Answer: A.944.9546
Explanation: Explanation :
926 + 9.026 + 0.926 + 9.0026 = 944.9546. Answer : Option A
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: @(n) = 5n - n
We need to find the largest positive integer such that 5n - n < 12.
Then 4n < 12 and n < 3.
The largest possible integer is n = 2.
The answer is B.
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A.2000
B.2787
C.2927
D.1627
Answer: A.2000
Explanation: Explanation:
Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.
Answer:A
Question: If KING is coded as 17 and MASS is coded as 29 Then COP is coded as
A.21
B.20
C.19
D.13
Answer: D.13
Explanation: KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
CON= 3+14+15=32 i.e(3*3)+(2*2)=13
ANSWER:D
Question: A certain fraction has the same ratio to 1/36, as 4/5 does to 2/9. What is this certain fraction?
A.1/5
B.1/10
C.1/15
D.1/20
Answer: B.1/10
Explanation: x / (1/36) = (4/5) / (2/9)
x = 4*9*1 / 36*5*2 = 1/10
The answer is B.
Question: 3, 15, x, 51, 53,159,161 value of x ?
A.17
B.34
C.54
D.64
Answer: A.17
Explanation: 3*5=15
15+2=17
17*3=51
51+2=53
ANSWER:A
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 2 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
A.1/2
B.1/3
C.2/5
D.5/4
Answer: A.1/2
Explanation: The rate of the basic system is 1 room/ (2/3 of an hour) = 3/2 rooms per hour
The rate of the advanced system is 1/2 of a room per hour
The combined rate is 2 rooms per hour.
The time to ventilate one room is 1/2 of an hour.
The answer is A.
Question: A charity solicited P persons over the phone who agreed to an average pledge of Rs.R each. Q of these people who had pledged an average of Rs. S each never sent in the pledged amount. Which of the following expressions represents the percentage of pledged money that the charity received?
A.100*(PR/QS)
B.100*(QS/PR)
C.100 (PR - QS)
D.100(1-QS/PR)
Answer: D.100(1-QS/PR)
Explanation: Explanatory Answer
Total amount solicited from P persons, each of whom agreed to pledge Rs.R = Rs.P*R
Of these Q did not send the pledged amount. Average value of amount not sent = Rs.S.
Hence, the total amount pledged but not received = Rs.Q*S
The charity therefore, received Rs.(PR - QS)
Expressing the amount received as a percentage of amount pledge, we get ((PR-QS)/PR)*100
Or, the expression can be rewritten as 100(1-QS/PR)
Answer D
Question: A man swims downstream 24km and upstream 16km taking 4 hours each time, what is the speed of the man in still water?
A.8
B.5
C.24
D.12
Answer: B.5
Explanation: 24 --- 4 DS = 6
? ---- 1
16 ---- 4 US = 4
? ---- 1 M = ?
M = (6+ 4)/2 = 5
Answer: B
Question: A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
A.Over Rupees 13 but less than Rupees 14
B.Over Rupees 7 but less than Rupees 8
C.Over Rupees 22 but less than Rupees 23
D.Over Rupees 18 but less than Rupees 9
Answer: D.Over Rupees 18 but less than Rupees 9
Explanation: Explanation :
original :- 100 p + r.
mistaken :- 100r + p.
=> 100p + r -50 = 300r + 3p.
=> 97p = 299r + 50.
=> p = (299r + 50)/97.
Since 97 is prime, the numerator has to be a mult of 97.
now, 299 leaves a remainder of 8 when divided by 97.
now, checking the options:
1. 299 * 13 + 50 / 97 ---> 8*13 + 50/97 --> not divisible.
2. 8*7 + 50 / 97 --> not divisible.
3. 8*22 + 50/97 --> not divisible.
4. 8*18 + 50/97 --> divisible.
Answer : D
Question: If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one?
A.8.
B.12.
C.6.
D.4.
Answer: B.12.
Explanation: let v and v' be the original and the changed volume
now
v=pir^2h
v'=pi(2r)^2(3h)
v'=12v
B) 12
Question: Sum of the squares of 3 no.'s is 222 and the sum of their products taken two at a time is 131. Find the sum?
A.22
B.24
C.26
D.28
Answer: A.22
Explanation: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 222 + 2* 131
a + b + c = √484 = 22
A
Question: If the cost price of 18 pens is equal to the selling price of 15 pens, the gain percent is:
A.9%
B.20%
C.50%
D.80%
Answer: B.20%
Explanation: Solution :
Let cost price of the price be Rs.1
15 pens C.P. = 15
18 pens S.P. = 18
Gain = 3/15*100 = 20 %
Answer :B
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is even
A.None of the above
B.I only
C.II only
D.III only
Answer: A.None of the above
Explanation: If AB is Odd then C will not even. O+E = O
If AB is even then C will not be odd.
If B is even AB is even always. But If C is Odd E+O = O
If B is Odd AB is even or odd depends on A
None of the above are true.
Answer : A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A.10
B.9
C.12
D.11
Answer: A.10
Explanation: 4/12 + x/15 = 1
x = 10
ANSWER A
Question: A man can do a job in 10 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
A.6.3
B.6.9
C.5.3
D.6.1
Answer: C.5.3
Explanation: 1 day work of the three persons = (1/10 + 1/20 + 1/25) = 19/100
So, all three together will complete the work in 100/19 = 5.3 days.
Answer:C
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
A.12
B.10
C.8
D.5
Answer: A.12
Explanation: 9M + 12B ----- 12 days
12M + 12B ------- 10 days
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B
18B + 12B = 30B ---- 12 days
20B + 10B = 30B -----? => 12 days
ANSWER A
Question: The average (arithmetic mean) of 20, 40, and 60 is 6 more than the average of 10, 70, and what number?
A.15
B.25
C.35
D.22
Answer: D.22
Explanation: a1 = 120/3 = 40
a2 = a1 -6 = 34
sum of second list = 34*3 = 102
therefore the number = 102 -80 = 22
ANSWER:D
Question: According to a survey, at least 70% of people like apples, at least 70% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
A.15%
B.20%
C.25%
D.0%
Answer: B.20%
Explanation: It seems that something is wrong with your answer options.
1) minimum applesbananas:
[XXXXXXXXXXXXXX------] - apples
[-----XXXXXXXXXXXXXXX] - bananas
mimimum ab = 70 - (100-70) = 40%
2) minimum (applesbananas)cherries:
[XXXXXXXXX-----------] - applesbananas
[----XXXXXXXXXXXXXXXX] - cherries
mimimum ab = 40 - (100-80) =20%
B
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 44 now, the son age 5 years back was
A.14
B.17
C.11
D.19
Answer: B.17
Explanation: Let the son's present age be x years .Then, (44 - x) = x x= 22.
Son's age 5 years back = (22 - 5) = 17 years
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
A.1881
B.1211
C.1200
D.1882
Answer: C.1200
Explanation: CP* (76/100) = 912
CP= 12 * 100 => CP
= 1200
Answer: C
Question: A bag contains 4 white balls, 3 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
A.2/9
B.1/4
C.3/8
D.5/16
Answer: A.2/9
Explanation: The probability for each ball to be drawn third is equal.
Then the probability a red ball is drawn third is 2/9.
The answer is A.
Question: 164 candies are distributed to children with the same number. What can’t be the range including the number of children?
A.1~10
B.10~20
C.20~30
D.40~50
Answer: B.10~20
Explanation: -> In 164=1*164=2*82=4*41=6*24, you can come up with 4 cases. One is distributing 77 candies to 2 children each. Another is distributing 2 candies to 77 children each. Also, you can distribute 22 candies to 7 children. The other is distributing 7 candies to 22 children. Amongst these cases, what is not included is D. 10~20. Therefore, the answer is B.
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is S?
A.50+A/200
B.50+3S/100
C.50+S/40
D.100+S/50
Answer: C.50+S/40
Explanation: 50+S/40=C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 865 in 4 years. The sum is:
A.s. 665
B.s. 690
C.s. 698
D.s. 700
Answer: A.s. 665
Explanation: S.I. for 1 year = Rs. (865 - 815) = Rs. 50.
S.I. for 3 years = Rs.(50 x 3) = Rs. 150.
Principal = Rs. (815 - 150) = Rs. 665.
Answer: Option A
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 20%. What was its profit on the items sold in February?
A.20%
B.30%
C.35%
D.37.5%
Answer: A.20%
Explanation: Assume the total price = 100x
Price after 20% markup = 120x
Price after 25%further markup = 1.25*120x = 150x
Price after the discount = 0.8*150x = 120x
Hence total profit = 20%
Option A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 16 hrs and a machine of type S does the same job in 8 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A.A)3
B.B)4
C.C)6
D.D)9
Answer: A.A)3
Explanation: Rate of machine R =1/16
Rate of machine S =1/8
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/16 +x/8 =1/2
3x/16=1/2
x=16/6=3
So no of machine R is 3
Answer A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A.12/458
B.12/455
C.12/455
D.12/451
Answer: C.12/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455.Answer: C
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A.40%
B.47%
C.50%
D.59%
Answer: C.50%
Explanation: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
A.1/8
B.1/2
C.1/6
D.1/5
Answer: B.1/2
Explanation: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
Answer:B
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 3/4 brand X and 1/4 brand Y. what fraction of the cost of the blend is Brand X?
A.a. 6/7
B.b. 2/5
C.3. 1/2
D.4. 2/3
Answer: A.a. 6/7
Explanation: Assume Cost of X= Ca = 200 , Cost of Y = Cb=100
The blend contains 0.75 X and 0.25 Y ---> Cost of the blend = Cbl = 0.75*200+0.25*100= 175
Thus fraction of X in the blend = 0.75*200/175 = 6/7.
Answer : A
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 75 km more than the other. What is the distance between the two stations?
A.540 km
B.675 km
C.276 km
D.178 km
Answer: B.675 km
Explanation: Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 75km more than the other,
25x â€“ 20x = 75
5x = 75
x = 15 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*15 = 675 km.
ANSWER: B
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 25 percent of the total votes?
A.6.25%
B.12.5%
C.15%
D.17.5%
Answer: A.6.25%
Explanation: There were 80% of the votes remaining and he needed 5%/80% = 1/16 = 6.25%
The answer is A.
Question: The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.89 kmph
B.92 kmph
C.90 kmph
D.65 kmph
Answer: C.90 kmph
Explanation: S = (120 + 60)/2 = 90 kmph
C
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: Time from 7 am to 4.15 pm = 9 hrs 15 min = hrs
3 min. 5 sec. of this clock = 3 min. of the correct clock.
hrs of this clock = hrs of the correct clock
hrs of clock = hrs of the correct clock.
=9 hrs of the correct clock.
The correct time is 9 hrs after 7 am. i.e., 4 pm.
Answer: A) 4pm
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $128 and $140 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
A.640
B.720
C.1080
D.1200
Answer: A.640
Explanation: $128 for 2 years = $64 per year.
Extra $12 yearned with the compound interest is the percent yearned on percent. So, $12 is yearned on $64, which means that the interest = 5%.
This on the other hand means that half of the savings = 64*5 = $320. Twice of that = $640.
Answer: A.
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 24 players on the team, what is the ratio of men to women?
A.10/16
B.9/15
C.4/16
D.6/10
Answer: B.9/15
Explanation: w = m+6
w+m = 24
m+6+m = 24
2m = 18
m = 9
w = 15
ratio:9:15
Ans: B
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 16 hours respectively. The ratio of their speeds is
A.4 : 9
B.4 : 3
C.4 : 12
D.4 : 8
Answer: B.4 : 3
Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 16 : 9 = 4 : 3.
Answer: B
Question: The profits of QRS company rose 40% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
A.15%
B.32%
C.40%
D.68%
Answer: D.68%
Explanation: Assume 100 in march , then 140 in April as 40% increase , Then 112 in may as 20% decrease from April , and then 168 in june which is 150% of 112 .
So overall increase is from 100 to 168 is 68%
Answer D
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
A.8/15
B.7/15
C.11/15
D.2/11
Answer: A.8/15
Explanation: Explanation :
Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15
Answer : Option A
Question: The length of a room is 6.5 m and width is 2.75 m. What is the cost of paying the floor by slabs at the rate of Rs.600 per sq. metre.
A.Rs.18725
B.Rs.16725
C.Rs.30725
D.Rs.10725
Answer: D.Rs.10725
Explanation: Area =6.5*2.75 sq. metre.
Cost for sq. metre. = Rs.600
Hence, total cost=6.5*2.75*600
=Rs.10725
ANSWER:D
Question: . In digging a pond 22 m * 12 m * 5 m the volumes of the soil extracted will be?
A.3223
B.1320
C.1400
D.1560
Answer: B.1320
Explanation: 22 * 12 * 5 = 1320
Answer: B
Question: A circular mat with diameter 3.5 inches is placed on a square tabletop, each of whose sides is 6 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A.2
B.1
C.3
D.4
Answer: B.1
Explanation: SO we are looking for the area of the cloth over the area of the table
Area of the Cloth = (pi)(r)^2 which is about (22/7)(3.5)(3.5)
Area of the Table = (6)(6)
So the quick way to estimate is looking at the fraction like this:38.5/36 nearest to 1
Answer: B
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 6.5 km apart, if they walk in the same direction?
A.12 hrs
B.13 hrs
C.15 hrs
D.17 hrs
Answer: B.13 hrs
Explanation: Sol.
to be 0.5 km apart, they take 1 hour.
To be 6.5 km apart, they take [1/0.5 * 6.5] hrs = 13 hrs.
Answer B
Question: If the cost price of 18 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
A.20% loss
B.12.5% profit
C.33.33 % loss
D.30.33% loss
Answer: B.12.5% profit
Explanation: Explanation :
Let Cost price of 1 article be Re.1.
Therefore, Cost price of 18 articles = Rs. 18.
Selling price of 16 articles = Rs. 18
Therefore, Selling price of 18 articles is :-
=>18/16Ã—18
=>20.25.
Therefore, Profit = Selling price - Cost price.
=>20.25âˆ’18=2.25.
Hence, the percentage of profit = profit x 100/C.P.
=>2.25/18Ã—100.
=>12.5% Profit.
Answer : B
Question: In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
A.85
B.83
C.82
D.84
Answer: C.82
Explanation: Solution simple
Out of 400 20% are male i.e 80 and 25% are female i.e 100 , so total homeowner is 180.
Now min number homeowner is 80 and max is 180 so question ask us to find least and 82 has least value among all option.
So ans is 82.
Ans: C
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 800 pounds of the seed mixture?
A.6
B.12
C.20
D.24
Answer: C.20
Explanation: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
800 / 40 = 20 acres
The answer is C.
Question: An error 6% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
A.12.04%
B.14.14%
C.12.36%
D.12.26%
Answer: D.12.26%
Explanation: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (106 x 106) cm2.
(A2 - A1) = [(106)2 - (100)2]
= (106 + 100) x (106 - 100)
= 1236 cm2.
Percentage error = 12.36%
D
Question: At 15:15 pm railway time, what will be the angle between minute and hour hand?
A.238
B.360
C.377
D.277
Answer: B.360
Explanation: At 15:15 both minute and hour hands will be in same position. Hence the angle between them will be zero
degrees. However 360 degree also means both minute and hour hands are in same position. Hence correct answers are
both zero and 360 degrees
Answer:B
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 5% and the mobile phone at a profit of 10%. Overall how much he make a profit.
A.s. 90
B.s. 120
C.s. 200
D.s. 50
Answer: D.s. 50
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 5/100) = 15000 - 750
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -750 + 800 = Rs. 50
As this is positive, an overall profit of Rs. 50 was made.
D
Question: Out of first 45 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
A.17/45
B.7/45
C.17/9
D.7/9
Answer: D.7/9
Explanation: n(S) = 45
n(Even no) = 22= n(E)
n(Prime no) = 14 = n(P)
P(EᴜP)
= 22/45 + 14/45 - 1/45
= 35/45=7/9
Answer:D
Question: Two of his favorite buildings are Chicago’s Sears (Willis) Tower and
Dubai’s Burj Khalifa. If Burj Khalifa stands at 830 meters high and
Sears stands at 527 meters high, how much higher is Burj Khalifa than Sears?
A.300
B.250
C.130
D.303
Answer: D.303
Explanation: 830-527=303. Answer is D.
Question: present ages of Ram and Rahim are in the ratio of 4:3 respectively. Four years ago, the ratio of their ages was 16:11 respectively . what Ram's present age in years?
A.27
B.24
C.40
D.20
Answer: D.20
Explanation: Ram and Rahim be 4x years and 3x years respectively
(4x-4)/(3x-4)=16/11
11(4x-4)= 16(3x-4), 44x-44=48x-64
x=5, therefore Ram's present age : 4x= 20 years
correct answer(D)
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5 feet 6 nches. Find the % correction made by the candidate from his stated height to his actual height?
A.15
B.20
C.18
D.16.5
Answer: D.16.5
Explanation: His height was = 5 feet 6 inch = 6 + 60 = 66 inch. Required % correction =66*(1.25-1) = 16.5
D
Question: There are 6 people and 3chairs. In how many ways people can occupy the chairs?
A.120
B.150
C.240
D.60
Answer: A.120
Explanation: total people = 6
total chairs = 3
1st chair can be occupy in 6ways
2nd chair can be occupy in 5ways
3rd chair can be occupy in 4ways
total number of ways = 6*5*4 = 120 ways
correct option is A
Question: A man's speed with the current is 16 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is
A.9
B.9.6
C.11
D.12
Answer: B.9.6
Explanation: Man's rate in still water = (16 - 3.2) km/hr = 12.8 km/hr.
Man's rate against the current = (12.8 - 3.2) km/hr = 9.6 km/hr.
Answer:B
Question: A certain series is defined by the following recursive rule: Se=K(Se-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
A.ROOT 2
B.ROOT 3
C.64*ROOT 3
D.64*3^1/3
Answer: D.64*3^1/3
Explanation: Ans...D
No need for any GP formula here
The rule is that eth term is K times the (e-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A.Rs.250
B.Rs.280
C.Rs.290
D.Rs.300
Answer: A.Rs.250
Explanation: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
A)