RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The length of a rectangle is one- sixth of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1296 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.560 sq.units
B.360 sq.units
C.260 sq.units
D.460 sq.units
Answer: B.360 sq.units
Explanation: Given that the area of the square = 1225 sq.units
=> Side of square = √1296 = 36units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 36 * 10 = 360 sq.units
Answer:B
Question: Dan read that an average snowfall of 10 inches yields 1 inch of water when melted. Very wet
snow will measure 5 inches for one inch of water, and very dry snow may measure 20 inches for an
inch of water. He made measurements for a storm that started with 5.3 inches of average snowfall.
The precipitation changed to wet snow and dropped another 4.1 inches. The weather continued to
warm up, and the storm finished with 1.5 inches of rain. What was the actual amount of water that fell
during the storm? Round your answer to tenths.
A.2.9" of water
B.3.9" of water
C.4.9" of water
D.7.9" of water
Answer: A.2.9" of water
Explanation: 5.3 ÷ 10 = .53" water from average snow
4.1 ÷ 5 = .82" water from wet snow
If you are unsure whether to multiply or divide, check your answer to see if it makes
sense. The actual snowfall in each case was less than what was needed to make
an inch of water, so division yields a sensible answer.
.53 + .82 + 1.5 = 2.85" rounds to 2.9" of water
correct answer A
Question: The diagonals of two squares are in the ratio of 2:5 then find the ratio of its areas?
A.2:12
B.4:25
C.5:31
D.2:19
Answer: B.4:25
Explanation: Let the diagonals of the squares be 2x and 5x
Ratio of their areas = 1/2 (2x)^2 : 1/2 (5x)^2 = 4x^2 : 25x^2 = 4:25
Answer is B
Question: 20 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
A.21
B.20
C.40
D.42
Answer: B.20
Explanation: n for cyclic hand shake and n-1 for linear handshake.
so here no of hand shake is 20.
ANSWER:B
Question: X starts a business with Rs.45000. Y joins in the business after 2 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
A.1:2
B.9:5
C.1:5
D.3:1
Answer: B.9:5
Explanation: Explanation:
Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000Ã—12:30000Ã—10
=45Ã—12:30Ã—10
=3Ã—12:2Ã—10
=9:5
Answer: Option B
Question: If x is an integer and (x)(x^2)(x^3)(x^8) is positive, which of the following could be negative?
A.x^4
B.(x)(x^3)
C.(x)(x)
D.x + x^9
Answer: D.x + x^9
Explanation: A) X^4 - always positive (or 0).
B) X(X^3) = X^4 - Again always positive (or 0).
C) (x)(x) = X^2 - Again always positive (or 0).
D) x+x^9 - Could be -ve if x is -ve.
E) 3X^2 - again always positive (or 0)
Answer D.
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A.720
B.900
C.1200
D.1800
Answer: C.1200
Explanation: Explanation:
2(15 + 12) × h = 2(15 × 12)
=> h = (180/27)m = 20/3 m.
Volume = (15 × 12 × (20/3)) m3 = 1200 m3
Answer: C
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.7.9
B.7.3
C.7.8
D.7.2
Answer: D.7.2
Explanation: distance = 600 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distancetime=600300=2m/s=2×185 km/hr=365 km/hr=7.2 km/hr
Answer :D
Question: On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $320,000?
A.30
B.16
C.18
D.20
Answer: A.30
Explanation: if i were to choose during the test, would go for 18 or 20. probably 18 cuz it wont take too long to get the value doubled....
I found a method: Rule of 72.
Given an x% return, it takes 10,000 to quadralope 12 years.
So according to the rule: 72/x is the no of years 10,000.00 took to double 20,000.00.
Again, 20,000.00 took to double 40,000.00 same (72/x) no of years.
72/x+ 72/x = 12
x = 12% (though rate here is not very much required).
Again, 40,000.00 takes the same (72/x) no of years to double 320,000.00.
72/x = 6 years.
So altogather:
10,000 - 20,000 = 6 years
20,000 - 40,000 = 6 years
40,000 - 80,000 = 6 years
80,000 - 160,000 = 6 years
160,000 - 320,000 = 6 years
total 30 years.
Question: A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A
A.300
B.450
C.750
D.800
Answer: A.300
Explanation: C's 1 day's work = 1/3-(1/6+1/8)=24
A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.
A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.
C's share = Rs. [600 - (300 + 225») = Rs. 75.
Answer is A
Question: What percent is 120 of 80?
A.150 %
B.134 1/3 %
C.135 1/3 %
D.140 1/3 %
Answer: A.150 %
Explanation: 120/80 = 3/2
3/2 × 100 = 300/2 = 150 %
A
Question: Pomes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
A.40 minutes.
B.1 hour and 30 minutes.
C.1 hour.
D.1 hour and 40 minutes.
Answer: C.1 hour.
Explanation: Rate =Output/Time
Pomes Rate=25/20=5/4
Dylan Rate=25/60=5/12
Combined rate = 5/4+5/12= 20/12
CombinedRate*CombinedTime= CombinedOutput
20/12*t=150
t=90 mins => 1 hr 30 min
Question: Which of the following must be subtracted from 2^72 so that the resulting integer will be a multiple of 3?
A.5
B.4
C.1
D.3
Answer: C.1
Explanation: {4^1} / 3 =4/3 remainder 1
{4^2} / 3 = 16/3 remainder 1
{4^3} / 3 = 64/3 remainder 1
{4^4} / 3 = 256/3 remainder 1
Actually the same remainder keeps repeating .....
Try with a diff no, say 2
{2^1}/3 = remainder 2
{2^2}/3 = remainder 1
{2^3}/3 = remainder 2
{2^4}/3 = remainder 1
Answer : C
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3600. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A.s. 375
B.s. 450
C.s. 600
D.s. 800
Answer: B.s. 450
Explanation: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 3600) =Rs.450
Answer = B
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 24 white marbles. How many red marbles could be in bag A?
A.1
B.3
C.4
D.6
Answer: C.4
Explanation: # of Red marbles in Bag A can be either 2 or 6. No 2 in the choices, so 6. D.
Bag A:
R:W:B = 2:6:9
Bag B
R:W = 1:4
6X + 4Y = 24 i.e 3X + 2Y = 12
X has to be odd to make an odd sum from the eq.
X = 2 , Y = 3 OR X = 4, Y = 0
So R can be 2X i.e 4 or 8.
Answer C
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain percentage.
A.4
B.2
C.1
D.3
Answer: A.4
Explanation: cost price=rs27.50, sp=rs 28.50
gain=rs(28.50 –27.50)=rs1.10
so gain%={(1.10/27.50)*100}=4%
Answer is A.
Question: How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?
A.800
B.125
C.348
D.576
Answer: D.576
Explanation: Solution
MACHINE has 4 consonants and 3 vowels.The vowels can be placed in position no. 1, 3, 5, 7
⇒ Total number of ways possible = 4P3 = 24.
For each of these 24 ways the 4 consonants can occupy the other 4 places in 4P4 ways
⇒ Total = 24 × 24 = 576. Answer D
Question: The distance between a book store and a coffee shop is approximately 5.3 x 10^4 inches. Which of the following is closest to the distance between the book store and a coffee shop, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
A.1.4
B.2.2
C.1.9
D.2.5
Answer: A.1.4
Explanation: We know that 1 kilometer = 3.9x10^4 inches. Therefore, we now have a ratio of (1 kilometer/3.9x10^4 inches).
We also know that the distance between the book store and a coffee shop is approximately 5.3 x 10^4 inches. To convert inches to kilometers, we need to multiply 5.3 x 10^4 inches by the ratio we just found out.
kilometers = 5.3 x 10^4 inches x (1 kilometer/3.9x10^4 inches) [note: "inches" cancel out, leaving us with just km]
km = 5.3x10^5/3.9x10^4 km
km = 1.36 = 1.4 km
Therefore, we can see that the closest answer is A.
Question: John's Ice Cream Shop sells ice cream at m cents a scoop. For an additional n cents, a customer can add 5 toppings to his or her sundae. How much would a sundae with 5 scoops and 5 toppings cost, in terms of m and n?
A.5m+5n
B.5m+2n
C.4m+n
D.5m+n
Answer: D.5m+n
Explanation: Answer D 5m+n
Question: A watch was sold at a loss of 10%. If the watch was sold for $32 more, there would have been a gain of 6%. What is the cost price?
A.$180
B.$200
C.$220
D.$240
Answer: B.$200
Explanation: 0.9x + 32 = 1.06x
0.16x = 32
x = 200
The answer is B.
Question: An error 17% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
A.6.64%
B.36.89%
C.15.64%
D.26.64%
Answer: B.36.89%
Explanation: Percentage error in calculated area
=(17+17+(17Ã—17)/100)%=36.89%
ANSWER:B
Question: The fourth proportional to 12, 14 and 6 is?
A.2
B.6
C.7
D.8
Answer: C.7
Explanation: (14*6)/12 = 7
Answer: C
Question: In the City ,there are 40% of the population lived in the North side at the Beginning of the Year and the rest lived in the South side. During the Same Year, the population grew by 6%. If the population in the North grew by 2%, by how much did the population grow in the South side?
A.8.6%
B.7.28%
C.9.2%
D.10.0%
Answer: A.8.6%
Explanation: Ratio of population in City = North:South :: 40%:60% = 2:3
Mean growth = 6%
North side: 2%
South side = ??
North-------------Average--------------South
2 __(3n)_____6.0%_____(2n)_____??
Since:
2+3n=6
n=4/3
Therefore:
South=6+2n
South=6+2(4/3)
The population increased in the south grew by 8.6%
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.4236
B.4306
C.4336
D.5336
Answer: D.5336
Explanation: Divisor = (5 x 46) = 230
10 x Quotient = 230 =	230	= 23
10
Dividend = (Divisor x Quotient) + Remainder
= (230 x 23) + 46
= 5290 + 46
= 5336.
Option D
Question: Among the employees of a certain company, 53 percent of the employees are male and 47 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
A. 0.3
B. 0.4
C. 0.5
D. 0.6
Answer: B. 0.4
Explanation: Much faster: draw 4 quadrants
______________Male (53%)_____Female (47%)
Married :__________70%____________50%
Not Married:_______30%____________50%
Therefore: the probability of picking one random person Not Married (he or she) is: 0,53 x 0,30 + 0,50 x 0,50 = 0,15 + 0,25 (approx.)
Solution: approx. 0,4 (answer B)
Question: (1/5)^r * (1/4)^18 = 1/(2(10)^35). What is r?
A.17
B.18
C.34
D.35
Answer: D.35
Explanation: We need to arrive at a common base. -->
(5)^(-r) * 2^(-36) = 2^(-36)*5^(-35)
5^(-r)=5^(-35)
-r=-35
r=35=D
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
A.0.965D
B.0.760D
C.0.765D
D.0.865D
Answer: C.0.765D
Explanation: Explanation:
If the price is reduced by 15 %, then the new price will be 0.85D
If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D
Answer: C
Question: What is the least number which should be added to 5432 so that the sum is exactly divisible by 5, 6, 4, and 3?
A.16
B.22
C.28
D.34
Answer: C.28
Explanation: L.C.M. of 5, 6, 4 and 3 = 60.
When dividing 5432 by 60, the remainder is 32.
The number to be added = 60 - 32 = 28.
The answer is C.
Question: A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $27,000, what is the total profit?
A.$80,000
B.$90,000
C.$60,000
D.$120,000
Answer: C.$60,000
Explanation: A:B:C = 27000:72000:81000 which is a ratio of 3:8:9.
Let the total profit be x.
x * 9/20 = 27000
x = 27000*20/9 = 60,000.
The answer is C.
Question: A child buy 18 pencil and pay 100 rs. He pay 1 rs more for white pencil than brown pencil. How many white pencil He buy? and what is price of one white pencil
A.4
B.5
C.6
D.7
Answer: C.6
Explanation: LET white pencil be x and brown be 18-x
let 1 brown pencil be y rs.
so, x(y+1)+(18-x)y=100
=>xy+x+18y-xy=100
=>x+18y=100
x=10 y=5
ans : 6
ANSWER:C
Question: If 1/(b – 2) = 1/(b + 2) + 1/(b – 1), which of the following is a possible value of b?
A.1
B.0
C.-1
D.-2
Answer: B.0
Explanation: Multiply by (b-2)*(b+2)*(b-1) throughout to get:
(b+2)*(b-1) = (b-2)*(b-1) + (b+2)(b-2)
Of the given options, only b=0 satisfies this.
Answer : B
Question: A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
A.49
B.4
C.12
D.3
Answer: D.3
Explanation: Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 2 :: 21 : x 14 * x = 2 x 21
x =	(2 x 21)/14
x = 3.
Answer is D.
Question: From below option 27 is divisible by which one?
A.A)4
B.B)8
C.C)9
D.D)10
Answer: C.C)9
Explanation: 27/9 = 3
C
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes T of the competition are possible?
A.18
B.20
C.54
D.84
Answer: D.84
Explanation: the ways the three teams can be selected is..
i) A is selected, B is also selected, third can be any of the remaining 4.. so total ways 4.. they can be arranged in 4*3!=24 ways..
ii) A is not selected. threee teams can be selected from remaining 5 so total arrangements =5C3*3!=60
total T=84 outcomes
D
Question: A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: take the maximum mark in each sub as 100. qualify mark is 50.On a total dt fellow gets 60 x 5= 100.
We can write (10+9+8+7+6)a=300 => a=15/2
In 5 subjects he gets 75,67.5,60,52.5,45.
He passes in 4 subjects...
ANSWER:C
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people V who purchased only book A?
A.250
B.500
C.750
D.1000
Answer: D.1000
Explanation: This is best solved using overlapping sets or a Venn Diagram. We know that A = 2B, and that 500 people purchased both A and B. Further, those purchasing both was double those purchasing B only. This gives us 250 people purchasing B only. With the 500 that pruchased both, we have a total of 750 that purchased B and this is 1/2 of those that purchased A. So, 1500 purchased A. Less the 500 that purchased both,V= 1000 purchased A only. (This is much simpler to solve using the Venn diagram).
Correct answer is D. 1000
Question: Rs. 6000 is lent out in two parts. IN that One part is lent at 7% p.a simple interest and the second one is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
A.5 : 7
B.5 : 1
C.6: 1
D.7 : 1
Answer: B.5 : 1
Explanation: Let the amount lent at 7% be Rs. x
Amount lent at 10% is Rs. (6000 - x)
Total interest for one year on the two sums lent
= 7/100 x + 10/100 (6000 - x) = 600 - 3x/100
=> 600 - 3/100 x = 450 => x = 5000
Amount lent at 10% = 1000
Required ratio = 5000 : 1000 = 5 : 1
ANSWER:B
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
A.1/6
B.1/9
C.1/3
D.1/7
Answer: D.1/7
Explanation: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer: D
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
A.1.44% loss
B.14.4% profit
C.14.4% loss
D.0%
Answer: A.1.44% loss
Explanation: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.
In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%
ANSWER:A
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
A.0998
B.2899
C.1889
D.1500
Answer: D.1500
Explanation: (5/100) A = (15/100) B
A = 3B
A + B = 2000
4B = 2000 => B = 500
A = 1500
Answer: D
Question: In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
A.5
B.8
C.4
D.9
Answer: A.5
Explanation: Let Abhay's speed be x km//hr.
Then, 30/x - 30/2x = 3
x = 5 km/hr.
Answer:A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40.5 meters. How many times did the ball bounce?
A.3
B.6
C.7
D.8
Answer: A.3
Explanation: Division of total distance travelled will be 16+16+8+0.5
Ans:A
Question: In a particular state, 70% of the counties received some rain on Monday, and 50% of the counties received some rain on Tuesday. No rain fell either day in 20% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
A.20%
B.40%
C.50%
D.60%
Answer: B.40%
Explanation: 70 + 50 + 20 = 140%
The number is 40% above 100% because 40% of the counties were counted twice.
The answer is B.
Question: Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
A.125
B.127
C.129
D.131
Answer: B.127
Explanation: Explanation:
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127
Option B
Question: The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 5%, then at what price does a customer buy the car?
A.$5100
B.$5300
C.$5500
D.$5700
Answer: D.$5700
Explanation: 0.95*0.8*0.75*10000 = $5700
The answer is D.
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
A.s. Rs.10,500, Rs. 13,500, Rs. 16,500
B.s. 10,600, Rs. 13,500, Rs. 96,500
C.s. 10,500, Rs. 73,500, Rs. 16,500
D.s. 10,500, Rs. 18,500, Rs. 16,500
Answer: A.s. Rs.10,500, Rs. 13,500, Rs. 16,500
Explanation: A:B:C = 35000 : 45000 : 55000 = 7:9:11
A's share = 40500 * 7/27 = Rs. 10500
B's share = 40500 * 9/27 = Rs. 13500
C's share = 40500 * 11/27 = Rs. 16500
Answer:A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140
B.287
C.1267
D.127
Answer: A.140
Explanation: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
A.24
B.35
C.64
D.68
Answer: C.64
Explanation: Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Question: If 10% of x = 20% of y, then x:y is equal to?
A.2:6
B.2:1
C.7:1
D.2:8
Answer: B.2:1
Explanation: 10% of x = 20% of y
10x/100 = 20y/100 => x/10 = y/5
x/y = 10/5 = 2/1
x:y = 2:1.
Answer:B
Question: What is x if x + 2y = 10 and y = 3?
A.2
B.4
C.6
D.8
Answer: B.4
Explanation: Substitute y by 3 in x + 2y = 10
x + 2(3) = 10
x + 6 = 10
If we substitute x by 4 in x + 6 = 10, we have 4 + 6 = 10. Hence
x = 4 correct answer B
Question: What is the total number of integers between 2 and 38 that are divisible by 4?
A.8
B.9
C.7
D.6
Answer: B.9
Explanation: 4, 6, 8, ..., 32,36
This is an equally spaced list; you can use the formula:
n = (largest - smallest) / ('space') + 1 = (36 - 4) / (4)+ 1 = 32/4 + 1 = 8 + 1 = 9
Answer is B
Question: There are 18 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
A.800
B.380
C.360
D.478
Answer: B.380
Explanation: The total number of stations= 20
From 20 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 20P2 ways.
20P2= 20*19= 380
ANSWER:B
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 30 machines produce in 6 minutes?
A.1344
B.3360
C.8400
D.12600
Answer: D.12600
Explanation: 8 machines produce 560 in 1 min
8 machines produce 560* 6 in 6 min
30 machine produce 560*6*(30/8) in 6 minutes
560*6*30/8=12600 answer is D.
Question: The side of a square is increased by 5% then how much % does its area increases?
A.15.00 %
B.10.25 %
C.10.00 %
D.12.25 %
Answer: B.10.25 %
Explanation: a = 100 a2 = 10000
a = 105 a2 = 11025
----------------
10000 --------- 1025
100 -------? => 10.25 %
Answer:B
Question: The value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4)
A.8/(1-x^8)
B.4x/(1+x^2)
C.4/(1-x^6)
D.4/(1+x^4)
Answer: A.8/(1-x^8)
Explanation: Highlighted part has mistake as the exponent of x must be 4 in last term
CORRECT QUESTION ISThe value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4) = ?
Solution is as mentioned below...
one more way that could get the answer in the type of eqn and choices given is to substitute some value for x...
0 would be better as the eq has constant term free of term 'x'..
the Eq gives us 8 as the ans , as also only choice A..
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.7 sec
B.5 sec
C.9 sec
D.6 sec
Answer: D.6 sec
Explanation: T = 60/36 * 18/5
= 6 sec
Answer:D
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
A.1 13/17 hours
B.2 8/11 hours
C.3 9/17 hours
D.4 1/2 hours
Answer: C.3 9/17 hours
Explanation: Net part filled in 1 hour = 1/5 + 1/6 - 1/12 = 17/60
The tank will be full in 60/17 hrs, i.e., 3 9/17 hrs.
ANSWER:C