RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If n is a natural number, then 6n^2 + 6n is always divisible by?
A.6 only
B.6 and 12
C.12 only
D.18 only
Answer: B.6 and 12
Explanation: 6n^2 + 6n = 6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.
Answer is B
Question: A board 5ft. 2 inches long is divided into 3 equal parts . What is the length of each part?
A.5ft. 7 inches
B.3ft. 7 inches
C.4ft. 7 inches
D.1ft. 8.7 inches
Answer: D.1ft. 8.7 inches
Explanation: Length of board=5ft. 2 inches=(5*12+2)inches=62 inches.
Therefore, Length of each part = (62/3) inches = 20.7 inches = 1ft. 8.7 inches
Answer is D.
Question: A train is moving at a speed of 50km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
A.30sec
B.45sec
C.36sec
D.29sec
Answer: C.36sec
Explanation: Speed of the train = 50*5/18 = 250/18 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(250/18) = 500*18/250 = 36sec
Answer is C
Question: William is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Coconut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If William accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Coconut oil?
A.15/29
B.5/8
C.5/16
D.1/2
Answer: A.15/29
Explanation: Coconut oil = 5/8 = 15/24 --> 15 parts out of 24;
Vinegar = 1/4 = 6/24 --> 6 parts out of 24;
Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;
If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are Coconut oil --> proportion = 15/29.
Answer: A.
Question: A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got inh english?
A.120,60
B.180,60
C.180,90
D.120,40
Answer: B.180,60
Explanation: Let Arun’s marks in mathematics and english be x and y
Then 1/3x-1/2y=30
2x-3y=180……>(1)
x+y=240…….>(2)
solving (1) and (2)
x=180
and y=60
Answer is B.
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $400 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
A.3000
B.5000
C.2000
D.4000
Answer: C.2000
Explanation: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $200, thus 0.2x = $200 --> x = $1,000.
Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,000 = $2,000.
Answer:C
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
A.589
B.580
C.585
D.582
Answer: C.585
Explanation: 90 = (450*4*R)/100
R = 5%
I = (450*6*5)/100 = 135
450 + 135 = 585
Answer:C
Question: A train 105 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
A.22
B.50
C.42.8
D.288
Answer: C.42.8
Explanation: Speed of the train relative to man = (105/10) m/sec = (21/2) m/sec. [(21/2) * (18/5)] km/hr = 37.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 37.8 ==> x = 42.8 km/hr.Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
A.5/21
B.5/28
C.5/22
D.5/23
Answer: A.5/21
Explanation: Explanation:
Number of ways of (selecting at least two couples among five people selected) =
As remaining person can be any one among three couples left.
Required probability =
= (10 * 6)/252 = 5/21
Answer: A
Question: If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
A.1) A and E
B.2) A and D
C.3) A,C,D
D.4) All of them
Answer: A.1) A and E
Explanation: Here answer will be (A).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Only options that remove a digit or digits from one side of the middle two numbers will result in change of mean and median.
Question: In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 360 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?
A.96
B.108
C.120
D.132
Answer: A.96
Explanation: The ratio of Yankees:Mets:Red Sox = 6:4:5
The Mets fans are 4/15 of the population.
(4/15)*360 = 96
The answer is A.
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120 cm2
B.765 cm2
C.216 cm2
D.197 cm2
Answer: A.120 cm2
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle
= 1/2 * 24 * 10
= 120 cm2
Answer: A
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
A.180 sec
B.190 sec
C.115 sec
D.490 sec
Answer: C.115 sec
Explanation: Time taken by B run 1000 meters = (1000 * 10)/80
= 125 sec.
Time taken by A = 125 - 10
= 115 sec.
Answer:C
Question: The difference between simple interest and the compound interest on Rs.600 for 1 year at 10% per annum, reckoned half-yearly is :
A.Nil
B.Rs.6.60
C.Rs.4.40
D.Rs.1.50
Answer: D.Rs.1.50
Explanation: Explanation:
S.I = Rs. (600×10×1/100) = Rs.60
C.I = Rs. [600×(1+5/100)2−600] = Rs.61.50
Difference = Rs.(61.50-60) = Rs.1.50
Correct Option: D
Question: How many numbers from 10 to 1000 are exactly divisible by 9?
A.100
B.10
C.11
D.12
Answer: A.100
Explanation: 10/9 = 1 and 1000/9 = 111 ==> 111 - 1 = 100. Therefore 100
Answer : A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
A.8000
B.9000
C.7000
D.10000
Answer: D.10000
Explanation: Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)
= 66000 - S6000 = Rs. 10000
D
Question: How many times the keys of a writer have to be pressed in order to write first 500 counting no's?
A.1372
B.1382
C.1392
D.1362
Answer: C.1392
Explanation: 1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 500 = 401 * 3 = 1203
-----------
1392
C
Question: In a certain sequence, the first term is 4, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
A.13/8
B.23/14
C.8/5
D.5/8
Answer: B.23/14
Explanation: let five terms in the sequence be a,b,c,d,e
a=4
b= 1+1/4=5/4
c=1+4/5= 9/5
d= 1+5/9 = 14/9
e= 1+9/14 = 23/14
hence answer should be B.
Question: A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
A.1 hr 20 min
B.4 hr
C.3 hr
D.6 hr 40 min
Answer: D.6 hr 40 min
Explanation: Explanation:
1 tap can fill the tank in 10 hours.
Therefore
1 tap can fill half tank in 5 hours.
3 taps can fill the tank in 10/3 hour.
Therefore
3 taps can fill half tank in 10/6 hour =1 hour 40 minutes.
Total time taken=6 hour 40 minutes
Answer: Option D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A.22 sec
B.89 sec
C.77 sec
D.99 sec
Answer: B.89 sec
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Question: John buys a bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
A.5 5/9%
B.5 5/11%
C.6%
D.6 6/11%
Answer: B.5 5/11%
Explanation: Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
Gain % = 300	x 100	%	= 5 5/11%
5500
Answer B
Question: By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.27
B.26
C.25
D.23
Answer: A.27
Explanation: 80% --- 18
120% --- ?
80/120 * 18 = 27
Answer:A
Question: If the speed of a man is 51 km per hour, then what is the distance traveled by him in 30 seconds ?
A.275m
B.360m
C.375 m
D.425 m
Answer: D.425 m
Explanation: The distance traveled in 30 sec = 51*(5/18) *30 =425m
ANSWER:D
Question: A work as fast as B. If B can complete a work in 16days independently,the number of days in which A and B can together finish the work in?
A.2days
B.3days
C.4days
D.5 1/3days
Answer: D.5 1/3days
Explanation: Ratio of rates of working of A and B = 2:1
ratio of times taken = 1:2
A's 1day work = 1/8
B's 1day work = 1/16
A+B 1day work = 1/8 + 1/16 = 3/16 => 16/3 = 5 1/3
A and B can finish the work in 5 1/3 days
Answer is D
Question: Working alone at its constant rate, machine A produces x boxes in 5 minutes and working alone at its constant rate, machine B produces 2x boxes in 10 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
A.3 minutes
B.7.5 minutes
C.5 minutes
D.6 minutes
Answer: B.7.5 minutes
Explanation: Rate = Work / Time
Given Rate of Machine A = 2X / 10 min
Machine B Produces 2x boxes in 10 min hence , Machine B produces 2x boxes in 10 min .
Rate of Machine B = 2x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = 2X / 10 min + Rate of Machine B = 2x / 10 = 4X/10
Now combine Time = combine work needs to be done / Combine Rate = 3x/4x * 10 = 7.5 Min
Ans: B
Question: Calculate how many ways a woman who has 2 bags and 5 books can put the books in her bag?
A.39
B.32
C.29
D.30
Answer: B.32
Explanation: First paper can be put in 2 ways, similarly second, third, forth, and fifth books also can be put in 2 ways.
So total number of ways = 2 x 2 x 2 x 2 x 2 = 32
B
Question: Mudit's age 22 years hence will be thrice his age four years ago. Find Mudit's present age?
A.12
B.17
C.27
D.18
Answer: B.17
Explanation: Explanation:
Let Mudit's present age be 'm' years.
m + 22 = 3(m - 4)
=> 2m = 34 => m = 17 years.
Answer:B
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
A.9%loss
B.2%loss
C.7%loss
D.8%loss
Answer: A.9%loss
Explanation: Explanation:
(30*30)/100
= 9%loss
Answer:A
Question: Three people (1 couple and 1 single) are seated at random in a row of 7 chairs. What is the probability that the couple does not sit together?
A.3/7
B.4/7
C.5/7
D.6/7
Answer: C.5/7
Explanation: The total number of arrangements of 3 people is 7*6*5 = 210
Let's think of the couple as a single unit.
The number of arrangements when the couple sits together is 6*5*2 = 60.
Note that we multiply by 2 because the couple can switch places with each other.
The number of ways the couple won't sit together is 210 - 60 = 150
P(couple won't sit together) = 150/210 = 5/7
The answer is C.
Question: If 7 boys can color 56 m long cloth in 1 day, then 6 boys can color 36 m long cloth in
A.day
B.days
C.days
D.days
Answer: A.day
Explanation: The length of cloth painted by one boy in one day = 56 / 7 × 1 = 8 m
No. of days required to paint 36 m cloth by 6 boys = 36/ 8 × 6 = 3/4 day.
A)
Question: The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
A.80% p.a
B.100% p.a.
C.40% p.a
D.44% p.a
Answer: C.40% p.a
Explanation: Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years
=> C.I - S.I
=>9,000 { [1 + r/100]2 - 1} = (10,000)2r /100
=> 9{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5
=> r = 0% of 40%
Since r!= 0%, r =40%
ANSWER:C
Question: At a local appliance manufacturing facility, the workers received a 30% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
A.83%
B.80%
C.23%
D.17%
Answer: C.23%
Explanation: Let's say he works usually 10 hours and earns 100 per hour.
10 * 100 = 1000
10 * 130 = 1300 (this are the new earnings after the raise)
To figure out how much he needs to work with the new salary in order to earn the original 1000:
1000/130 = 7.67
So he can reduce his work by 2.33 hours. Which is >23%.
Answer C
Question: In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to
obtain a mixture worth Rs.16.50 per Kg?
A.1 : 2
B.2 : 1
C.3 : 7
D.7 : 3
Answer: D.7 : 3
Explanation: Explanation :
By the rule of alligation,we have
CP of 1 kg of 1st variety pulse CP of 1 kg of 2nd variety pulse
15 20
Mean Price
16.5
20-16.5 = 3.5 16.5-15=1.5
Required Ratio = 3.5 : 1.5 = 35 : 15 = 7 : 3
Answer : Option D
Question: In how many ways can the word LEADING arranged if Vowels always come together?
A.120
B.720
C.60
D.8220
Answer: B.720
Explanation: LEADING=Has 3 vowels(EAI) and 4 consonant(LDNG)
Total letters=7
For Consonant=5!(that is 4+1 letters. one comes from the vowels )
=5*4*3*2*1=120 ways
For Vowels=3!=3*2*1=6
Total number of ways=120*6=720 ways
Option B
Question: Find the value of (875 233/899) × 899
A.786600
B.786658
C.786679
D.786858
Answer: D.786858
Explanation: (875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
D)
Question: Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
A.3/5
B.2/5
C.7/5
D.1/2
Answer: A.3/5
Explanation: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be
2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15
Which gives us 2/5 + 1/15 + 2/15 -----> 3/5
Answer is A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.11 kmph
C.16 kmph
D.18 kmph
Answer: A.10 kmph
Explanation: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream = (80-60)/2 = 10 kmph.Answer: A
Question: A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?
A.222
B.267
C.176
D.287
Answer: C.176
Explanation: Explanation:
Area of the room=(544 * 374)
size of largest square tile= H.C.F of 544 & 374 = 34 cm
Area of 1 tile = (34 x 34)
Number of tiles required== [(544 x 374) / (34 x 34)] = 176
Answer: C) 176
Question: If an investor puts $900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
A.$986.25
B.$988.25
C.$990.25
D.$992.25
Answer: D.$992.25
Explanation: 1.05*1.05*900=$992.25
The answer is D.
Question: About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be
A.only one such pair exists
B.only two such pairs exist
C.many such pairs exist
D.no such pair exists
Answer: D.no such pair exists
Explanation: Explanation:
HCF is always a factor of LCM. ie., HCF always divides LCM perfectly.
Correct Option: D
Question: A car moves at 80 km/hr. What is the speed of the car in meters per second ?
A.2029msec
B.2229msec
C.2429msec
D.2629msec
Answer: B.2229msec
Explanation: ExplanaƟon:
Speed=(80
∗
518)m/sec=2009m/sec=2229msec
Answer: B
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 4.5 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.6480
Answer: D.6480
Explanation: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 4.5 = 6480.Answer: D
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ?
A.16%
B.32%
C.48%
D.84%
Answer: D.84%
Explanation: D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, E=(68+16)% or (100-16)% of the population is less than m+d.D
Question: If p and r are integers, and p^2 = 14r, then r must be divisible by which of the following?
A.2
B.4
C.5
D.7
Answer: D.7
Explanation: Ans: D
Solution: for p to be an int 14 r must be whole square of a number.
14r= 7*2*r
to make it whole square we need 7
so r can must be divisible by 7y where y is itself a whole square.
so D is the ans
Question: A train covers a certain distance at a speed of 320kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
A.850km/hr
B.800km/hr
C.740km/hr
D.640km/hr
Answer: D.640km/hr
Explanation: Explanation:
Distance = 320×4 = 1280km
Required speed = (1280/2) = 640km/hr
Answer: Option D
Question: By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?
A.16
B.18
C.20
D.22
Answer: B.18
Explanation: Explanation:
Let S.P. of 45 lemons be Rs. x.
Then, 80 : 40 = 120 : x or x =40X120/80=60
For Rs.60, lemons sold = 45
For Rs.24, lemons sold =45/60X24=18.
ANSWER IS B
Question: If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4th as much as C. The amount B received is?
A.250
B.270
C.310
D.330
Answer: B.270
Explanation: A:B:C = 1:3:12
Total parts = 16
B's share is = 3 parts
16 -----> 1440
1 -----> 90
3 -----> 270 (B's share is 270)
B)
Question: If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events.
A.7/25
B.3/25
C.8/35
D.2/13
Answer: C.8/35
Explanation: P (A n B) = P(A) . P(B)
P (A n B) = 4/7 . 2/5
P (A n B) = 8/35.
C
Question: If the difference between compound interest (interest compounded yearly) and simple interest on a certain sum at the rate 20% p.a. after 3 years is Rs.1280 then what is the principal?
A.7900
B.8,000
C.10,000
D.8,300
Answer: C.10,000
Explanation: let p is the principal,so p([120/100]^3-1)-p*20/100*3=1280
p[728/1000-3/5]=1280
p=1280*5*1000/728*5-3000=10000
ANSWER:C
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.20286/- in 3 years at the same rate of interest. Find the rate percentage?
A.5%
B.7%
C.9%
D.15%
Answer: D.15%
Explanation: Explanation:
The difference of two successive amounts must be the simple interest in 1 year on the lower amount of money.
S.I = 20286/- - 17640/- = Rs. 2646/-
Rate of interest = (2646/17640) × (100/1) => 15%
Answer: Option D
Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
A.20%
B.25%
C.18%
D.30%
Answer: A.20%
Explanation: Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number
ANSWER:A
Question: A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?
A.3388
B.2882
C.1400
D.277
Answer: C.1400
Explanation: Explanation:
Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches
Distance covered = Circumference of the wheel Ã— No. of Revolutions made by the wheel
If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15
Distance covered by both the wheels is the same
40*(n+3)=70n
n=20
Front wheel : Back Wheel
Circumference 40 : 70
Revolutions 35 : 20
Distance covered \small \Rightarrow 40Ã—35 = 70Ã—20 = 1400 inches.
Answer: C
Question: Departments A, B, and C have 15 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
A.19,000
B.40,000
C.100,000
D.641,250
Answer: D.641,250
Explanation: 15c1 * 15c1* 15c1*20c2 = 15*15*15*190=641250. Hence D is the correct answer.
Question: A person buys an article at Rs.620. At what price should he sell the article so as to make a profit of 25%?
A.600
B.882
C.775
D.662
Answer: C.775
Explanation: Cost price = Rs.620
profit = 25% of 620= Rs.155
Selling price = Cost price + Profit
= 620 + 155 = 775
Answer: C
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
A.150, 208
B.150, 206
C.150, 200
D.150, 202
Answer: C.150, 200
Explanation: The incomes of A and B be 3P and 4P.
Expenditures = Income - Savings
(3P - 100) and (4P - 100)
The ratio of their expenditure = 1:2
(3P - 100):(4P - 100) = 1:2
2P = 100 => P = 50
Their incomes = 150, 200
Answer:C
Question: In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports:
A.+ 20%
B.- 25%
C.+ 305
D.- 30%
Answer: A.+ 20%
Explanation: Solution: Let the initial revenue be 100.
100 ----- 50% ↑ (Ticket up)-----> 150 ----- 20% ↓ (Visitors down) -----> 120.
There is 20% increase in the revenue.
Answer: Option A
Question: Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
A.5
B.4
C.55
D.95
Answer: B.4
Explanation: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
440/x = 440/1.1x + 11
1.1(440) = 440 + 11x
11x = 44
x = 4
The answer is B
Question: Find the odd one out:
125, 106, 85, 76, 65, 58, 53
A.33
B.85
C.26
D.18
Answer: B.85
Explanation: Explanation:
This sequence represents a series in which from the reverse order a prime number is added:
53+5=58
58+7=65
65+11=76
76+13=89
89+17=106
106+19=125
Hence 85 is the answer.
ANSWER: B
Question: A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A.60 km
B.87 km
C.89 km
D.29 km
Answer: D.29 km
Explanation: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 6.5
=> x/10 + x/8 = 13/2 => (4x + 5x)/40 = 13/2 => x
= 29 km.
Answer:D
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 10 km each. Then they turned left and ran for another 7.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
A.21
B.23
C.25
D.27
Answer: C.25
Explanation: The distance between them is the hypotenuse of a right angle triangle with sides 15 km and 20 km. The hypotenuse = sqrt(15^2 + 20^2) = 25
The answer is C.