RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
A.A)72
B.B)828
C.C)50
D.D)34
Answer: C.C)50
Explanation: Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 40/2 = 50 cm2
Answer: Option C
Question: The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
A.Decreases by 19%
B.Decreases by 25%
C.Increases by 6%
D.Increases by 19%
Answer: D.Increases by 19%
Explanation: Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence D.
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is
A.6
B.12
C.24
D.36
Answer: C.24
Explanation: Required numbers; 1×2×3×4 = 24, which is divisible by 24.
also checking 5 x 6 x 7 x 8 = 1680, which is also divisible by 24.
ANSWER:C
Question: The average weight of 25 boys sitting in a boat had some value. A new person added to them whose weight was 60 kg only. Due to his arrival, the average weight of all the boys decreased by 10 kg. Find the average weight of first 25 boys?
A.302
B.203
C.320
D.260
Answer: C.320
Explanation: 25x + 60 = 26(x - 10)
x = 320
C
Question: On one particular day, Beth's garden bloomed 1235 flowers. If Beth separates her flowers evenly across 9 different vases, how many flowers would remain with her.
A.1 Flowers
B.2 Flowers
C.3 Flowers
D.4 Flowers
Answer: B.2 Flowers
Explanation: This is equivalent to finding the first number that is divisible by 9 that occurs before 1235.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 1235 = 11 and 9 is divisible by 9.
Therefor, we need to remove 2 to this number for it to be divisible by 9
Correct Option: B
Question: A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
A.40%
B.45%
C.50%
D.60%
Answer: C.50%
Explanation: 50%
C
Question: Which of the following number should be added to 11158 to make it exactly divisible by 77?
A.6
B.5
C.8
D.7
Answer: D.7
Explanation: Ondividing 11158 by 77, the remainder is 70
Thus, Number to be added = (77 - 70)=7
ANSWER:D
Question: If p is a positive integer and p^2 is divisible by 12, then the largest positive integer that must divide p ^3 is
A.2^3
B.2^6
C.3^3
D.6^3
Answer: D.6^3
Explanation: Since p is an integer so p cannot have a 2 and sqrt 3 (because squaring this will give us a 2^2 and 3 (making the product as 12, and making p^2 as a multiple of 12))
p^2 is divisible by 12 (12 = 2*2*3), So, p should have at least one 2 and one 3 so that p^2 has a 2^2 and two 3
So, p will have a 2 and a 3. Or p will be a multiple of 6
So, largest possible integer than should divide p^3 is 6^3
So, Answer will be D
Question: 40, 45, 50, 55, 65, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: The average of {40, 45, 50, 55, 65, 75, 75, 100, 100, 100} is 70.5
1 standard deviation below the mean is 70.5 - 22.2 = 48.3. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.
Answer B.
Question: seven family members: 5 grandchildren (3 brothers and 2 sisters) and their 2 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers?
A.72
B.480
C.1440
D.2880
Answer: A.72
Explanation: Answer: A.
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age five years back was:
A.19 years
B.14 years
C.33 years
D.16 years
Answer: D.16 years
Explanation: Let the son's present age be x years.
Then, (42 - x) = x
2x = 42=> x = 21
Son's age 5 years back = (21 - 5) = 16 years.
ANSWER:D
Question: In the circular region shown above, sections A and B represent 3/8 and 5/11, respectively, of the area of the circular region. Section C represents what fractional part of the area of the circular region?
A.15/88
B.2/11
C.5/22
D.45/88
Answer: A.15/88
Explanation: A , B and C represent complete area of circle and c fraction be x.
3/8+5/11+x = 1.
=> x = 1- ( 3/8+5/11)
x = 15/88.
Answer:option A is correct answer..
Question: Which of the following is(are) false for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)
A.only Ⅰ
B.only Ⅱ
C.only Ⅲ
D.only ⅠⅢ
Answer: A.only Ⅰ
Explanation: -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (X).
If II. a@b=(a+b)(a-b), a@b=(a+b)(a-b)≠(b+a)/(b-a)=b@a (O).
If III.a@b=(a/b)+(b/a), a@b=(a/b)+(b/a)=(b/a)+(a/b)=b@a (O).
Thus, ⅠⅢ are the answers. Therefore, A is the answer.
Question: You have 5 sticks of lengths 10, 30, 40, 50, and 60 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is
A.3
B.4
C.7
D.10
Answer: B.4
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Based on this there can be only 4 triangles formed:(30, 40, 50), (30, 40, 60), (30, 50, 60), (40, 50, 60).
Answer; B
Question: 10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days?
A.6
B.10
C.12
D.15
Answer: A.6
Explanation: Let the required number of hours be x.
More men, less hours per day (Indirect proportion)
Less days, more working hours per day (Indirect proportion)
men 15 : 10
} : : 6 : x
days 12 : 18
.'. 15*12*x = 10*18*6
= x = 10*18*6/(15*12)
= x = 6 ANSWER : A
Question: Which of the following inequalities is equivalent to −1 < x < 5?
A.|x - 1| < 7
B.|x + 2| < 3
C.|x + 3| < 5
D.|x - 2| < 3
Answer: D.|x - 2| < 3
Explanation: We know that |x| < a means -a < x < a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0
Given is, -1 < x < 5, let's say by adding y to this inequality we will get into the above format
-1+y < x+y < 5+y
Now, to move this into the mod format, we need to have (-1+y) + (5+y) = 0 => y = -2
Thus, -3< x-2 < 3 => |x-2| < 3.
Hence, answer is D
Question: A part-time employee’s hourly wage was increased by 10%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
A.9%
B.15%
C.25%
D.50%
Answer: A.9%
Explanation: Let's say the employee used to make $1/hour and worked 100 hours/week
So, the TOTAL weekly income was $100/week
After the 10% wage increase, the employee makes $1.10/hour
We want the employee's income to remain at $100/week.
So, we want ($1.10/hour)(new # of hours) = $100
Divide both sides by 1.10 to get:
new # of hours = 100/1.10
≈ 90 hours
So, the number of hours decreases from 100 hours to (approximately) 90 hours.
This represents a 10% decrease (approximately) .
Answer choice A is the closest answer.
Question: The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
A.8%
B.5%
C.6%
D.4%
Answer: B.5%
Explanation: SI = 20 + 20
CI = 20 + 21
20 ---- 1
100 ---- ? => 5%
Answer: B
Question: In how many ways can four different rings be worn on four fingers of one hand?
A.10
B.1
C.15
D.16
Answer: B.1
Explanation: Required number of ways = ways of selecting 4 objects out of 4 given objects
= 4C4 = 4*3*2*1/24= 1
Answer B
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
A.1/5
B.1/7
C.1/2
D.1/1
Answer: C.1/2
Explanation: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability
= 3!4!/6! = 1/5
Answer:C
Question: Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
A.120
B.240
C.360
D.480
Answer: B.240
Explanation: As I see it : 7 members, and Michael & Bobby sit together. So treat those two like a single person. Now you have to arrange 6 people around a table. This may be done in 5! or 120 ways
The number of ways to arrange Michael & Bobby is 2 (MB or BM).
So net there are 240 ways or B
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
A.34
B.38
C.42
D.46
Answer: C.42
Explanation: Solution
Let the numbers be x and x + 2.
Then, (x + 2)2–x2 = 84
‹=›4x + 4 = 84
‹=›4x = 80
‹=›x = 20.
Required sum = x+(x+2)= 2x+2 = 42.
Answer C
Question: In what time will a train 140 meters long cross an electric pole, if its speed is 210 km/hr
A.5 seconds
B.4.5 seconds
C.3 seconds
D.2.4 seconds
Answer: D.2.4 seconds
Explanation: Explanation:
First convert speed into m/sec
Speed = 210*(5/18) = 58 m/sec
Time = Distance/speed
= 140/58 = 2.4 seconds
Option D
Question: Bell and Carol are partners in a business, they invested Rs. 25,800 and Rs. 32,000 respectively.If the business yielded a total profit of Rs. 21,500, what is Carol's share?
A.11903.11
B.12703.11
C.15103.11
D.11979.11
Answer: A.11903.11
Explanation: Explanation:
Ratio of their shares = 25,800 : 32,000 = 129 : 160.
Carol's share = Rs. (21,500 * 160/289) = Rs. 11903.11.
Answer: A) 11903.11
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer R between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
A.12
B.15
C.17
D.R=18
Answer: D.R=18
Explanation: Since we are concerned with integers between 1 and 20, write down the primes till 40.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
(you should be very comfortable with the first few primes... )
2, 3, 5, 7, 11,12, 13, 17, 19, 23, 29, 31, 37 - Three pairs (11,13), (7,17), (5, 19)
2, 3, 5, 7, 11, 13,15,17, 19, 23, 29, 31, 37 - Three pairs (13, 17), (11, 19), (7, 23)
2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37 - Three pairs (11, 23), (5, 29), (3, 31)
2, 3, 5, 7, 11, 13, 17,18,19, 23, 29, 31, 37 - Four pairs (17, 19), (13, 23), (7, 29), (5, 31)
2, 3, 5, 7, 11, 13, 17, 19,20,23, 29, 31, 37 - definitely cannot be more than 4 since there are only 4 primes more than 20. So must be less than 4 pairs. Ignore.
Answer (D).
Question: There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated?
A.A)20
B.B)30
C.C)40
D.D)50
Answer: D.D)50
Explanation: In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost.answer is D
Question: What is the dividend. divisor 19, the quotient is 9 and the remainder is 5?
A.A)130
B.B)134
C.C)148
D.D)176
Answer: D.D)176
Explanation: D = d * Q + R
D = 19 * 9 + 5
D = 171 + 5
D = 176
Answer D
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?
A.s 200
B.s 1500
C.s 300
D.s 450
Answer: B.s 1500
Explanation: Suppose the amount in the beginning was Rs ’x’
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 1500
ANSWER:B
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
A.61mph
B.62mph
C.63mph
D.64mph
Answer: D.64mph
Explanation: (2*40+3*80)/5 = 64mph
ANSWER:D
Question: A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
A.333
B.4460
C.37687
D.26698
Answer: B.4460
Explanation: Explanation:
Let the sum be Rs.P.then
P(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.
Answer: B) 4460
Question: Arun Kumar, Chennakesavan , Raghu and Krishnan always have discussions on various issues such as politics, international affairs, current affairs, studies etc. Once Raghu posed the following query to other group members:Find the range of real values of x satisfying the inequalities 4x - 5 > 7 and 5x - 14 > 16"
A.x > 3
B.x > 6
C.x < 3
D.x < 6
Answer: B.x > 6
Explanation: 4x - 5 > 7 => 4x > 12 => x > 3 ...(1)
and 5x - 14 > 16 => 5x >30 => x > 6 ...(2)
Since 6 is greater than 3, for both inequalities namely (1) and (2) to be satisfied, x should be greater than 6 or x > 6.
ANSWER:B
Question: John and Steve are speed walkers in a race. John is 16 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push?
A.13 seconds
B.17 seconds
C.36 seconds
D.34 seconds
Answer: C.36 seconds
Explanation: Let t be the time that John spent for his final push.
Thus, per the question,
4.2t = 3.7t+16+2 ---> 0.5t = 18 ---> t = 36 seconds.
C is the correct answer.
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
A.1/45
B.1/42
C.1/46
D.1/48
Answer: B.1/42
Explanation: 2/3 * 6/7 * 1/3 * 1/8 = 1/42
Answer:B
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
A.5 min past 7
B.5x6/11 min past 7
C.5x5/22 min past 7
D.5x5/11 min past 7
Answer: D.5x5/11 min past 7
Explanation: Explanation:
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min. spaces are gained in60/55x 5	min	= 5X 5/11	min.
Required time = 5x 5/11	min. past 7.
Answer is D
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 20 such machines produce in 4 minutes?
A. 648
B. 1,800
C. 2,700
D. 3,600
Answer: D. 3,600
Explanation: 6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
20 machines produce 45*20=900 bottles per minute;
In 4 minutes 10 machines produce 900*4=3,600 bottles.
Answer: D.
Question: X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29?
A.100598
B.10052
C.100528
D.10057
Answer: D.10057
Explanation: ANSWER: D
Question: Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work?
A.(64 * 36)/13 days
B.(44 * 36)/23 days
C.(64 * 39)/13 days
D.(84 * 36)/13 days
Answer: A.(64 * 36)/13 days
Explanation: 12 men take 32 days to complete the work.
One man will take (12 * 32) days to complete it.
Similarly one woman will take (16 * 36) days to complete it and one boy will take (48 * 16) days to complete it.
One man, one woman and one boy working together will complete = 1/(12 * 32) + 1/(16 * 36) + 1/(48 * 16)
= 1/(4 * 3 * 16 * 2) + 1/(16 * 4 * 9) + 1/(16 * 3 * 4 * 4)
= 1/64(1/6 + 1/9 + 1/12) = 1/64 * 13/36 of the work in a day.
They will take (64 * 36)/13 days to complete the work working together.
Answer: A
Question: A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing
speed in sƟll water is
A.4 kmph
B.5 kmph
C.6 kmph
D.7 kmph
Answer: B.5 kmph
Explanation: Explanation:
Rate upstream = (750/675) = 10/9 m/sec
Rate downstream (750/450) m/sec = 5/3 m/sec
Rate in still water = (1/2)*[(10/9) + (5/3)] m/sec.
= 25/18 m/sec
= (25/18)*(18/5) kmph
= 5 kmph
Answer: B
Question: There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men?
A.1935
B.1936
C.1937
D.1938
Answer: B.1936
Explanation: 5c3*11c3+5c4*11c2+5c5*11c1=1936
ANSWER:B
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A.270
B.278
C.268
D.266
Answer: A.270
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
Question: The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age?
[0.5 Decades = 5 Years]
A.45 years
B.55 years
C.42 years
D.46 years
Answer: A.45 years
Explanation: A
45 years
Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.
Question: Rerty traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
A.z=3x
B.x=3z
C.y=2x
D.x=2y
Answer: D.x=2y
Explanation: Rerty Travelled for x,y and for z min.
Total Time : x + y + z
Which is equal to : 3y
Equating both sides we get
x+y+z = 3y
=> x+z =2y ........ Eqn 1
Looking out at options
D Says x =2y
Using it in Eqn 1
2y + z = 2y
=> Z = 0 mins, Which I guess is not possible.
The Ans isD
Question: Morgan Goldman has 5 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for?
A. 16
B. 36
C. 110
D.154
Answer: C. 110
Explanation: P(at least 1 S D) = P(Total) - P(0 Senior Director)
=10C3 - 5C3
= 110
Question: A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
A.6.24 km
B.6 km
C.9.86 km
D.5.66 km
Answer: C.9.86 km
Explanation: M = 10
S = 1.2
DS = 11.2
US = 8.8
x/11.2 + x/8.8 = 1
x = 4.93
D = 4.93 * 2 = 9.86
ANSWER:C
Question: What is his percentage profit made by Nick if he purchased 10 dozen pens at Rs. 25 per dozen. He sold 3 dozens at 8% profit and the remaining 7 dozens with 14% profit?
A.15.2%
B.17.2%
C.12.2%
D.11.2%
Answer: C.12.2%
Explanation: Explanation :
C.P of 10 dozens = Rs.(25 x 10) = Rs.250
C.P of 3 dozens = Rs. (25 x3) = Rs. 75.
C.P of 7 dozens =Rs. (25 x7) = Rs. 175
profit on 3 dozen at 8% = 8/100*75 = 6
profit on 7 remaining dozen at 14% = 14/100*175 = 24.5
total profit = 6 + 24.5 = 30.5
% profit = ?/100*250 = 30.5
= 12.2%
Answer : C
Question: Find the number of zeroes in 58! (58 factorial)
A.12
B.13
C.14
D.15
Answer: B.13
Explanation: no of zeroes is
58/5=11
11/5=2
11+2=13
ANSWER:B
Question: The contents of a certain box consist of 24 lemons and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be lemons?
A. 24
B. 26
C. 30
D. 46
Answer: B. 26
Explanation: lemons = ( lemons + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
Question: Cost of an item is Rs 12.60 & profit is 10% over selling price what is the selling price
A.12.86
B.13.86
C.14.86
D.15.86
Answer: B.13.86
Explanation: Profit=( SP-CP/CP )*100
CP=12.60
(SP-12.60)/12.60*100 =10
SP=13.86
ANSWER:B
Question: In what ratio should a variety of rice costing Rs. 7 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
A.5/6
B.5/2
C.5/1
D.5/3
Answer: B.5/2
Explanation: Let us say the ratio of the quantities of cheaper and dearer varieties
= x : y
By the rule of allegation, x/y
= (8.75 - 7.50) / (7.50 - 7) =5/2
Answer: B
Question: Can you complete below number series by replacing "?" with the correct number.
10 # 10 # 20 # ? # 110 # 300 # 930
A.35
B.25
C.45
D.55
Answer: C.45
Explanation: Pattern goes like
10
10 * 0.5 + 5 => 10
10 * 1.0
+ 10 => 20
20 * 1.5 + 15 => 45(Ans)
45 * 2.0 + 20 => 110
110 * 2.5 + 25 => 300
300 * 3.0 + 30 => 930
Correct answer is C)45
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 A?
A.50+A/200
B.50+3A/100
C.50+A/40
D.100+A/50
Answer: C.50+A/40
Explanation: the simplified formula for computing the income tax, in Country R's currency, for a person in that country
annual income is A:50+A/40
ANSWER:C
Question: v, q, and r are positive integers. If v, q, and r are assembled into the six-digit number vqrvqr, which one of the following must be a factor of vqrvqr?
A. 23
B. 19
C. 17
D. 7
Answer: D. 7
Explanation: One short way -
vqrvqr = 1000vqr + vqr = (1000+1)vqr = 1001vqr
Therefore any factor of 1001 is a factor of vqrvqr
7 is a factor of 1001
So D
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
A.2387
B.2978
C.3972
D.2671
Answer: C.3972
Explanation: Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000 = Rs. 3972
Answer: C
Question: The number 86 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A.17
B.16
C.15
D.14
Answer: D.14
Explanation: 7^2+6^2+1^2=49+36+1 = 86
7+6+1 =14
Hence answer is D
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
A.5729
B.5760
C.2889
D.2870
Answer: B.5760
Explanation: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 4 = 5760.Answer: B
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work?
A.50 days
B.75 days
C.120 days
D.150 days
Answer: C.120 days
Explanation: P works 25% more efficiently than Q: Something that takes Q 5 days, takes P 4 days
Q works 50% more efficiently than R: Something that takes R 7.5 days, takes Q 5 days
P alone takes 50 days less than Q: For every 4 days P works, Q has to work an extra day. Hence P alone can do it in 200 days and Q alone in 250 days and hence R alone in 400 days
P works for 60 days--> 60/200 work done => 30%
Q works for 150 days--> 150/250 work done => 60%
30% work left ... R alone will take 30% * 400 = 120 days
Answer is (C)
Question: The sum of first eight prime numbers is?
A.12
B.23
C.24
D.77
Answer: D.77
Explanation: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) = 77.
Note: 1 is not a prime number.
Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.
D