RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Salley's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Salley makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
A. 15
B. 24
C. 25
D. 26
Answer: C. 25
Explanation: day 0- payment of $7 is made in the morning (after 12 am midnight)
day 1 onwards (after 12 am midnight) internet service will begin and will run for 7*2=14 days i.e. at the end of day 15 balance will be zero.
now salley can still use the internet till her debt reaches $5 which means total of 5*2=10 days.
now the question states for how many days, including today, will she be connected to the internet without any additional paymentsi.e. we will have to include day0 also in our final answer. therefore total no. of days =1+14+10=25=C
Question: Rs.1010/- distributed among A,B and C such that on decreasing their shares by RS.25,RS.10 and RS.15 respectively, The balance money would be divided among them in the ratio 3:2:5. Then, C’s share is:?
A.Rs.485
B.Rs.495/-
C.Rs.575
D.Rs.685
Answer: B.Rs.495/-
Explanation: A:B:C = 3:2:5
Total parts = 10
C's share is = 5 parts
10-----> Rs.960/-
3 -----> Rs.480/-
A's total =480 + 15 = Rs.495/-
B)
Question: A boat round trip in a river goes upstream at an average speed of 30 miles per hour. On the trip back downstream boat goes at an average speed of 90 miles per hour. What is her approximate average speed for the round trip in miles per hour?
A.40
B.45
C.60
D.61.7
Answer: B.45
Explanation: Average speed = total distance/total time
Here distance upstream and back is same as boat follows the same route.
D = 30T1 and D=90T2
Therefore, T1 = D/30 and T2 = D/90
T1+T2 = 4d/90
Therefore, average speed = 2d/4d/90
=2d * 90/4d
Answer is 45
Answer is B
Question: The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 3 is equal to:
A.–7
B.7
C.20
D.12
Answer: C.20
Explanation: x^2 - 8x + 18 = |x-4|
RHS can be -ve or +ve
x^2 - 9x + 22 = 0
x^2 - 7x + 14 = 0
x= 11,7,2
We test all 3 values in original equation, all ok.
Thus, Sum = 11 + 7 +2 = 20
Ans (C)
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.297
C.278
D.208
Answer: A.270
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870
= 270
Answer:A
Question: A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. Find the length of the train.
A.75 meters
B.60 meters
C.90 meters
D.80 meters
Answer: A.75 meters
Explanation: Let the length of the train be x meter
and the speed of the cyclist is y m/s
Now when the train and the cyclist are in the same direction, the relative speed is :(35/3-y)m/s[converting 42km/h to m/s-35/3m/s]
Now distance/relative speed =9 seconds
Substituting the values, we get x+9y.....................(1)
Similarly calculate the relative speed when they are in the opposite direction
The relative speed is (35/3+y)
Now distance/relative speed is equivalent to 5 seconds
Substituting the values, we get the equation
3x-15y=175.................................(2)
Solving (1) and (2), we get x=75 meters
ANSWER:A
Question: Twenty eight meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
A.2√2
B.2√5
C.5
D.7
Answer: D.7
Explanation: Area of Sector, A = x/360*pi*r^2
Circumference of the sector = 28
=> x/360*2*pi*r +2r= 28
=> 2A/r+2r=28
=> A= r14-r^2
= r14-r^2
We will now max using derivations
Max value of A will found at A=0
i.e 14-2r=0
r=7
D
Question: A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?
A.1,250 meters / minute
B.1,133 meters / minute
C.1,450 meters / minute
D.1,550 meters / minute
Answer: B.1,133 meters / minute
Explanation: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify
68 kilometers per hour = 68 km/hr
= (68 * 1000 meters) / (60 minutes) = 1,133 meters / minute
correct answer B
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
A.290 sec
B.190 sec
C.199 sec
D.115 sec
Answer: D.115 sec
Explanation: Time taken by B run 1000 meters
= (1000 * 10)/80 = 125 sec.
Time taken by A = 125 - 10 = 115 sec.
Answer: D
Question: IF 2+3=10 ; 2+5=27 ; 2+7=53 Then 2+11=?
A.124
B.129
C.128
D.125
Answer: B.129
Explanation: 2^0 + 3^2= 1 + 9 = 10
2^1 + 5^2= 2 + 25 = 27
2^2 + 7^2= 4 + 49 = 53
and
2^3 + 11^2= 8 + 121 = 129
ANSWER:B
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
A.4!
B.8!
C.10!
D.11!
Answer: B.8!
Explanation: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Question: The lengths of the diagonals of a rhombus are 20 and 48 meters. Find the perimeter of the rhombus?
A.150 merters
B.125 meters
C.96 meters
D.104 meters
Answer: D.104 meters
Explanation: Below is shown a rhombus with the given diagonals. Consider the right triangle BOC and apply Pythagora's theorem as follows
BC 2 = 10^2 + 24^2
and evaluate BC
BC = 26 meters.
We now evaluate the perimeter P as follows:
P = 4 * 26 = 104 meters.
Answer is D
Question: At present, the ratio between the ages of Arun and Deepak is 4:7. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
A.17 years
B.35 years
C.18 years
D.12 years
Answer: B.35 years
Explanation: Let the present ages of Arun and Deepak be 4x and 7x years respectively.
Then, 4x + 6 = 26 => x
= 5
Deepak's age
= 7x
= 35 years.
Answer:B
Question: A survey was sent to 90 customers, 15 of whom responded. Then the survey was redesigned and sent to another 50 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
A.2%
B.5%
C.8%
D.28%
Answer: C.8%
Explanation: Rate of first survey = 15/90
Rate of second survey = 9/50
% Response rate increase (9/50-15/90)/(15/90) = 8%
Answer is C = 8%
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 135?
A.136*136
B.136*137
C.272
D.136
Answer: C.272
Explanation: The least common multiple of two numbers greater than 135 is 2(136) = 272, where the two distinct integers are 136 and 272.
The answer is C.
Question: The famous Denali Star train starts from anchorge & travels towards fair banksat speed 50 mph.After some time another train Glacier Discovery Train( At parallel track) at fair banks And moves towards Anchorge at a speed of 70 mph. Both the trains Denali star & Glacier discovery have a length 1/6 miles each .After the trains meet how many seconds will faster train take to overtake the slower one?
A.10 sec
B.11 sec
C.12 sec
D.13 sec
Answer: A.10 sec
Explanation: total distance = (1/6)+(1/6) = 1/3 miles
relative speed = (50+70) mph = 120 mph
time taken = (1/3)/(120) hours = 10 seconds
ANSWER:A
Question: in a triangle sides of triangle are ac=ln(n),
ab=ln(8),bc=ln(50).
what is the possible value of n?
A.394
B.395
C.385
D.398
Answer: D.398
Explanation: sum of 2sides of the triangle should be greater than the third side
therefore,ln(50)+ln(8)>ln(n)
Now according to the log property;log(a)+log(b)=log(a*b)
So,ln(50*8)>ln(n)
400>n;
Bt the options are;
390,395,392and 398.
So 0 and 400 wont be included,so the ans is 398.
ANSWER:D
Question: What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Unit digit in (6374)1793 = Unit digit in (4)1793
= Unit digit in [(42)896 x 4]
= Unit digit in (6 x 4) = 4
Unit digit in (625)317 = Unit digit in (5)317 = 5
Unit digit in (341)491 = Unit digit in (1)491 = 1
Required digit = Unit digit in (4 x 5 x 1) = 0.
A)
Question: If the list price of a book is reduced by Rs 5 then a person can buy 2 more books for Rs 300.the original cost of the book is
A.25
B.30
C.15
D.20
Answer: B.30
Explanation: A list price
B No of book
AxB = 300
(A-5)x(B+2) = 300
2A-5B+AB-10=300
2A-5B=10
(2A-10)A=300x5
AA-5A = 150x5 = 750
A=30
ANSWER:B
Question: how many positive integers less than 1960 are such that the product of their digits is 10.
A.220
B.230
C.280
D.220
Answer: C.280
Explanation: 1960 is divisible by 10 ( or 2*5) = 196
196 is divisible by 4 = > 49
49 = 7 *7
hence 1960 is divisible by 2,4,5, 7 ,7
if there were only one 7,
i.e if the problem were 280
C
Question: Express the following as a fraction 56%
A.13/50
B.17/30
C.11/25
D.14/25
Answer: D.14/25
Explanation: 56% = 56/100
= 14/25
Answer is D.
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
A.32:99
B.82:31
C.32:45
D.34:89
Answer: C.32:45
Explanation: A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45
Answer:C
Question: What is the least number which when divided by 5, 6, 9 and 12 leaves remainder 4 in each care?
A.130
B.140
C.156
D.184
Answer: D.184
Explanation: Explanation:
LCM of 5, 6, 9 and 12 is 180
Required number = 180 + 4 = 184
Answer: Option D
Question: In given series 56, 72, 90, 110, 132, 150 only one number is incorrect. Find out that wrong number
A.140
B.150
C.120
D.170
Answer: B.150
Explanation: The numbers are
7 x 8=56
8 x 9=72
9 x 10=90
10 x 11=110
11 x 12=132
12 x 13=156
So, 150 is wrong.
ANSWER:B
Question: Two pipes A and B can fill a cistern in 15 and 20 minutes respectively, and a third pipe C can empty it in 30 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A.17 1/4 min
B.12 min
C.17 1/7 min
D.17 1/8 min
Answer: B.12 min
Explanation: 1/15 + 1/20 - 1/30 = 5/60 = 1/12
12/1 = 12
Answer:B
Question: Express a speed of 72 kmph in meters per second?
A.10 mps
B.76 mps
C.20 mps
D.97 mps
Answer: C.20 mps
Explanation: 72 * 5/18
= 20 mps
Answer: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.1/7
B.1/2
C.1/6
D.1/3
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: In a class, 6 students can speak Gujarati, 15 can speak Hindi and 6 can speak Marathi. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class
A.21
B.22
C.23
D.24
Answer: B.22
Explanation: n(AUBUC)=6+15+6-2-2-2+1=22
ANSWER:B
Question: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete the Marathon?
A.  3
B.  3.5
C.  4
D.  4.5
Answer: D.  4.5
Explanation: Let total time= t
F travelled at rate 10mph for t/3 time and 5mph for 2t/3 time
d= s1t1+s2t2
30= 10*t/3 + 5*2t/3
30= 20t/3
t= 4.5
D is the answer
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A.3 days
B.2 days
C.5 days
D.6 days
Answer: C.5 days
Explanation: C
5 days
WC = 3:1
WT = 1:3
x 3x
1/x – 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 => 5 days
Question: George takes 30 days to do a piece of work and Mark takes 45 days for the same work. For the first 15 days only George works. Then Mark also joins him. Find the time taken to complete the entire work.
A.23
B.24
C.25
D.26
Answer: B.24
Explanation: George 1 day work= 1/30
Mark 1 day work= 1/45
George 15 day work= 15*1/30 =1/2
Work remaining= 1-1/2 =1/2
George + Mark 1 day work= 1/30 + 1/45 =1/18
Number of day required to complete 1/2 work= (1/2)/(1/18)= 9 days
So total days required to complete the work is 15+9= 24 days.
ANSWER:B
Question: There are 54 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
A.1) 4
B.2) 7
C.3) 17
D.4) 21
Answer: D.4) 21
Explanation: x -> Golf Club
2x -> Tennis Club
y -> both
x+2x-y = 51
3x - y =51
multiples of 3 greater than 51
57
60
63
66
69
72 - 21 = 51
IMO (D)
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 12 and 13. The larger of the two numbers is:
A.299
B.278
C.322
D.231
Answer: A.299
Explanation: Clearly, the numbers are (23 * 12) and (23 * 13). Larger number
= (23 * 13) = 299.
Answer: A
Question: One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
A.1.00 minutes
B.1.20 minutes
C.1.50 minutes
D.1.85 min
Answer: D.1.85 min
Explanation: By guess it is clear that the time taken will be less than 2 minutes and more than 1.5 mintes Therefore, answer 1.85 minutes will be correct. Answer-D
Question: A, B two inlet pipes takes 15,18 minutes to fill the tank and C an oulet pipe takes 45 minutes to empty the tank respectively. In what time the tank be filled if all of them are operated together?
A.11 minutes
B.10 minutes
C.12 minutes
D.13 minutes
Answer: B.10 minutes
Explanation: LCM=90
No of days= [90/(90/15 + 90/18 - 90/45)
= [90/(6+5-2)]
= [90/9]
= 10 minutes
ANSWER:B
Question: A train 250 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.95 km/hr
B.50 km/hr
C.54 km/hr
D.55 km/hr
Answer: A.95 km/hr
Explanation: Speed of the train relative to man = (250/10) m/sec = 25 m/sec. [(25 * (18/5)] km/hr = 90km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 90 ==> x = 95 km/hr.
ANSWER: A
Question: If y is 50 percent greater than x, then x is what percent less than y?
A.20%
B.25%
C.33%
D.50%
Answer: C.33%
Explanation: y = 1.5x
x = y/1.5 = 10y/15 = y - (1/3)*y
1/3 is about 33%.
The answer is C.
Question: The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?
A.28%
B.25%
C.24%
D.23%
Answer: B.25%
Explanation: explanation:
15 CP = 20 SP
20 --- 5 CP loss
100 --- ? => 25% loss
Answer: B
Question: If Juan takes 15 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
A.15x/y
B.15y/x
C.x/(15y)
D.15/(xy)
Answer: A.15x/y
Explanation: This problem is testing us on the Rate x Time = Distance relationship. This relationship also tells us that Rate = Distance/Time and Time = Distance/Rate.
Ultimately, we are looking for how many seconds it will take Juan to run x yards. Thus, the equation we’ll use is: Time = Distance/Rate. We know the distance is x yards, and we need to find Juan’s rate.
We can find Juan’s rate as follows: Rate = Distance/Time = y yards/15 seconds
Using that rate, we need to determine how long it takes him to run x yards at the same rate. So we have:
Time = Distance/Rate
Time = x yards/(y yards/15 seconds)
Time = (x yards) x (15 seconds/y yards)
Time = 15x/y seconds
Answer A.
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 3 + 3 = ??
A.11
B.12
C.5
D.14
Answer: C.5
Explanation: 5
ANSWER:C
Question: If t > a and L < a, which of the following cannot be true?
A. d + L = 14
B. d - L = 7
C. d - L = 1
D. a - t = 9
Answer: D. a - t = 9
Explanation: Is the answer D?
If t>a, then t-a>0 (always positive). The converse would be a-t<0 (always negative). Option D states that a-t=9, which can never be true.
Question: If .003^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
A.0
B.8
C.9
D.10
Answer: D.10
Explanation: 0.003^4= (3*10^-3)^4 = 81*10^-12 = 0.81*10^-10 which would have 10 zeros to the right of the decimal point. The answer is D.
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $56 more. What was his original selling price?
A.$880
B.$950
C.$1100
D.$1240
Answer: A.$880
Explanation: Let P be the original purchase price of the product.
Bill originally sold the product for 1.1*P.
In the second scenario, the purchase price is 0.9*P.
A 30% profit means the selling price would be 1.3*0.9*P = 1.17*P
Thus, according to the information in the question, 1.17P - 1.1P = 56
0.07 = 56
P = 800
The original selling price was 800*1.1 = 880.
The correct answer is A.
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.28 %
B.56.25 %
C.56.28 %
D.46.25 %
Answer: B.56.25 %
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer: B
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 100 barrels of oil?
A.2
B.3
C.4
D.18
Answer: A.2
Explanation: Well A produces 1/2 a barrel per minute.
Wells B and C produce 1/3 + 1/4 = 7/12 (a little more than half) a barrel per minute.
So all three wells combined produce a little more than 1 barrel per minute.
So for 100 barrels they will take a bit less than 100 mins which will be more than 1 hrs but less than 2 hrs.
Answer (A)
Question: In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?
A.1880
B.2400
C.2880
D.3424
Answer: C.2880
Explanation: Solution
They have to be arranged in the following way: | L | T | L | T | L | T | L | T | L | The 5 lions should be arranged in the 5 places marked ‘L’. This can be done in 5! ways. The 4 tigers should be in the 4 places marked ‘T’. This can be done in 4! ways. Therefore, the lions and the tigers can be arranged in 5!*4!= 2880 ways
Answer C
Question: A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?
A.30 seconds
B.32 seconds
C.34 seconds
D.36 seconds
Answer: D.36 seconds
Explanation: Explanation:
Speed of train relative to jogger = (45-9) = 36 kmph
= 36*(5/18) = 10 m/sec
Distance to cover = 240 + 120 = 360 metres
Time = Distance/Speed
So,
Time=360/10=36 Seconds
ANSWER IS D
Question: Can you replace the question mark with the correct number, given the pair of numbers exhibits similar relationship?
? : 3839 :: 11 : 1209
A.15
B.16
C.17
D.18
Answer: B.16
Explanation: Solution
16
Formular used :
pow(x,3) - pow(x,2) - 1
11*11*11 - 11*11 - 1
1331 - 121 - 1
1209
Similarly, we can solve
pow($x,3) - pow($x,2) - 1 = 3839
This condition holds true for number-16
Answer B
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl ande 2 boys are selected is:
A.21/46
B.25/117
C.1/50
D.3/25
Answer: A.21/46
Explanation: Let S be sample space and E be event of selecting 1 girl and 2 boys
Then n(S)=25c3
=2300
n(E)=10c1x15c2=1050
P(E)=2300/1050=21/46
ANSWER A 21/46
Question: Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?
A.1/2
B.2
C.3
D.5
Answer: A.1/2
Explanation: Given rate at which A & B works at normal pace to complete 1 widget is (1/3).
Hence A's rate = B's rate = half of (1/3).
Hence A's rate is (1/6), so to complete 1 widget A requires 6 hours.
ANSWER:A
Question: Based on this year's costs, a builder budgets P dollars for planing N new buildings next year. If the average cost of building each building were to increase 10% from this year's cost, then the greatest number of buildings that the builder could build next year using P dollars would be:
A.9% less than N
B.11% less than N
C.Equal to N
D.9% greater than N
Answer: A.9% less than N
Explanation: Correct answer is (A).
This year, the price of a building is price1=P/N.
If this price increases by 50% it becomes Price2=P/N*1.1
Then with P dollars, you can build P/Price2 buildings i.e. P/(P/N*1.1) i.e. N/1.1 i.e. 0.91*N
Which is 9% less than N.
Question: If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 6 time the part of C .Find the ratio among their parts.
A.1:2:4
B.1:4:1
C.8:4:1
D.12:6:1
Answer: D.12:6:1
Explanation: By the assumptions as mentioned we have A=2B and B=6C. So A=2(6C) and we get A=12C. We have, therefore, A:B:C = 12C:6C:C. By cancelling the ratio with C we have 12:6:1. The answer is, therefore, D.
Question: At present the ratio between the ages of Arun and Deepak is 2:3. After 5years, Arun's age will be 25 years. What is the age of Deepak at present?
A.20 years
B.30 years
C.15 years
D.25 years
Answer: B.30 years
Explanation: Let the present ages of Arun and Deepak be 2x years and 3x years respectively
2x+5 = 25
2x = 20
x = 10
Deepak's age = 3x = 30years
Answer is B
Question: It takes Machine A 32 minutes to fill a water tank.Another Machine B takes 6 minutes to fill the same water tank. If both machines are put to work , how long would it take to fill same water tank?
A.3.0 minutes
B.4.5 minutes
C.5.1 minutes
D.6.0 minutes
Answer: C.5.1 minutes
Explanation: By guess it is clear that the time taken will be less than 6 minutes and around 5 Therefore, answer 5.1 minutes will be correct. Answer-C
Question: What will the ratio of simple interest earned by certain amount at the same rate of interest for 3 years and that for 15 years.
A.5:2
B.1:5
C.1:2
D.5:1
Answer: B.1:5
Explanation: Explanation:
Let the principal be P and rate be R
then
ratio = [(P∗R∗3/100) /(P∗R∗15/100)]
=3PR /15PR=1:5
Option B
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?
A.2%
B.3%
C.5%
D.7%
Answer: C.5%
Explanation: increase in the population in 10 years
=
262500
−
175000
=
87500
=262500−175000=87500
percent increase in the population in 10 years
=
87500
175000
×
100
=
8750
175
=
50
%
=87500175000×100=8750175=50%
average percent increase of population per year
=
50%/10
=
5%
Option C
Question: A train runs across a post in 15 seconds and across a platform of length 100m in 25 seconds. Determine the length of this train:
A.137
B.150
C.287
D.167
Answer: B.150
Explanation: Explanation:
Let us assume for this question that the length of train is x metres and it is assumed to be running at the speed of y m/sec.
A pole is assumed as a point object.
=>Time taken by the train to pass the pole= x/y
=>15=x/y
=>y=x/15
Now, the train passes the platform which is 100 m in length in 25 seconds.
=>x+100/y=25
=>x+100/25=y
Equating speed generated from both cases:
x+100/25=x/15
Therefore x = 150 metres.
ANSWER: B
Question: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $30 less. What was the total cost cost of the vacation?
A.$200
B.$360
C.$400
D.$500
Answer: B.$360
Explanation: C for cost.
P price per person.
C= 3*P
C=4*P-120
Substituting the value of P from the first equation onto the second we get P = 120.
Plugging in the value of P in the first equation, we get C= 360. Which leads us to answer choice B