RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. the distance between his house and school is :
A.4.5 km
B.5.5 km
C.6 km
D.7 km
Answer: C.6 km
Explanation: Sol.
Average speed = [2*3*2 / 3+2] km/hr = 12/5 km/hr.
Distance travelled = [12/5 * 5] km = 12 km.
∴ Distance between house and school = [12/2] km = 6 km.
Answer C
Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?
A.12
B.460
C.60
D.450
Answer: D.450
Explanation: 6C2 * 5C2 * 3C1 = 15*10*3 = 450.
Answer: D
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
A.30
B.40
C.20
D.10
Answer: A.30
Explanation: A: B = 2:3 and B:C = 5:8
=>(5*3/5):(8*3/5)
=>3:24/5
A:B:C = 2:3:24/5 = 10:15:24
B= 30
ANSWER A
Question: A certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
A.6.33
B.7.5
C.21
D.15
Answer: C.21
Explanation: If there is one bacteria colony, then it will reach the limit of its habitat in 20 days.
If there are two bacteria colonies, then in order to reach the limit of habitat they would need to double one time less than in case with one colony. Thus colonies need to double 21 times.
Answer: C.
Similar questions to practice:
Hope it helps.
Question: A and B go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
A.240 sec
B.165 sec
C.186 sec
D.167 sec
Answer: A.240 sec
Explanation: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 1200/ (36 * 5/18) , 1200/ (54 * 5 /18) }
= LCM (120, 80)
=240 sec.
Answer:A
Question: David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction?
A.Rs. 110
B.Rs. 120
C.Rs. 130
D.Rs. 150
Answer: D.Rs. 150
Explanation: Cost of Ghee = 10*200+ 30*100 /40 =5000/40 = 125
20% of 125 = 25
S.P. should be = 125+25= Rs. 150/ kg
Answer : D
Question: How many three digits number greater than 600 can be formed using the digits 4,5,6,7,8?
A.85
B.65
C.75
D.25
Answer: C.75
Explanation: Clearly repetition of digits allowed. Also the hundredths place of the 3-digit number can be filled in by6,7,8 in 3 ways. Each of the ten's, one's place can be filled in 5 ways. Hence the total number of required numbers = 3*5*5 =75 Answer : C
Question: Average weight of 10 people increased by 2 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
A.50
B.55
C.60
D.65
Answer: D.65
Explanation: Explanation:
Total weight increased is 2 * 10 = 20.
So weight of new person is 45+20 = 65
Answer: Option D
Question: If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
A.Tuesday
B.Monday
C.Wednesday
D.Thursday
Answer: C.Wednesday
Explanation: 3rd dy is monday----so----1st day must be saturdy
1-8-15-22 are all saturdy..ok
so 21 will be friday so,
from firdy 5th day will be wednesday
ANSWER:C
Question: The compound ratio of 5:6, 3:2 and 4:5?
A.1:8
B.1:0
C.1:7
D.1:1
Answer: D.1:1
Explanation: 5/6 * 3/2 * 4/5 = 1/1
1:1
Answer: D
Question: $700 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
A.$100
B.$150
C.$125
D.$280
Answer: D.$280
Explanation: A:(B+C) = 2:3
A's share = 700*2/5 = $280
Answer is D
Question: If x = 7p and y = 5p + 1, then for what value of p, x is equal to y ?
A.1
B.0.5
C.2
D.-1
Answer: B.0.5
Explanation: Explanation:
x = y <=> 7p = 5p + 1 <=> 2q = 1 <=> p = 0.5
Answer: B
Question: A part of certain sum of money is invested at 9% per annum and the rest at 21% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
A.4:2
B.4:8
C.7:3
D.4:0
Answer: C.7:3
Explanation: 21:9
= 7:3
Answer: C
Question: There are 27 different three-digit integers that can be formed using only the digits 3, 4 and 5. If all 27 of the integers were listed, what would their sum be?
A.11,888
B.11,988
C.12,088
D.12,188
Answer: B.11,988
Explanation: There must be nine 3's in the hundreds place, nine 3's in the tens place, and nine 3's in the units place. This is also true for the 4's and 5's. Then the sum is:
9(333+444+555)=9*(1332)=11,988.
The answer is B.
Question: Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
A.2288
B.2677
C.1052
D.2872
Answer: C.1052
Explanation: S.I. = (956 - 800) = Rs. 156.
Rate = (100 * 156) / (800 * 3) = 6 1/2 %
Now rate = (6 1/2 + 4) = 10 1/2 %
New S.I. = (800 * 21/2 * 3/100) = Rs. 252
New amount = (800 + 252) = Rs. 1052.
Answer:C
Question: If the cost price of 60 boxes is equal to the selling price of 50 boxes, the gain percent is
A.5
B.10
C.15
D.20
Answer: D.20
Explanation: Let C.P. of each box be Re. 1.
Then, C.P. of 50 boxes = Rs. 50; S.P. of 50 boxes = Rs. 60.
Gain % = 10/50 * 100 = 20%
Answer:D
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 75th number in this set?
A. 597
B. 608
C. 613
D. 616
Answer: A. 597
Explanation: The set S = {5, 13, 21, 29, ..................... }
1st Number = 8 * 0 + 5 = 5
2nd Number = 8 * 1 + 5 = 13
3rd Number = 8 * 2 + 5 = 21
75th Number = 8 * (75-1) + 5 = 597
Answer = A
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
A.3000
B.4056
C.5000
D.5400
Answer: B.4056
Explanation: Sol. Share of B + C = -3 x (5 + 8) = Rs. 4056
B
Question: A, B, C, D and E are ve
consecutive odd numbers The sum of A and C is 146. What is
the value of E?
A.75
B.81
C.71
D.79
Answer: D.79
Explanation: A + C = 146
⇒ A + A + 4 = 146
⇒ A =146-4/2=71
∴ E = A + 8 = 71 + 8 = 79
Answer D
Question: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
A.338
B.500
C.279
D.1277
Answer: B.500
Explanation: Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r
Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400
q = 1/3 (p + r) => 3q = p + r
Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300
r = 1200 - (p + q) => r = Rs.500.
Answer: B
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 36. The quotient obtained by him was 30. The correct quotient is?
A.A)10
B.B)24
C.C)28
D.D)29
Answer: A.A)10
Explanation: Number = (30 * 12) = 360
Correct quotient = 360/36 = 10
A)
Question: A seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
A.9
B.10
C.12
D.14
Answer: A.9
Explanation: IfNo caris selected more than once then the number of clients = 12/4 = 3
But since every car is being selected three times so No. of Clients must be thrice as well =3*3 = 9
Answer: option A
Question: Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?
A.0
B.2
C.4
D.6
Answer: D.6
Explanation: On dividing 724946 by 10 we get the remainder 6, so 6 should be subtracted
D
Question: How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
A.4
B.6
C.3
D.5
Answer: A.4
Explanation: Answer: A) 4
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A.66 sec
B.88 sec
C.12 sec
D.87 sec
Answer: C.12 sec
Explanation: D = 250 m + 250 m = 500 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 500 * 3/125 = 12 sec
Answer: C
Question: A drawer contains socks. When two socks are drawn at random, the
probability that both are red is 5/14. Which of the following can be
the number of socks in the drawer?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: If there are n socks, r of which are red, in the drawer, then the probability that
two chosen together at random are red is
r/n *
r - 1/n - 1
=
5/14
Therefore, r(r - 1) = 5k and n(n- 1) = 14k for some positive integer k. Since 14 must
divide n(n - 1), the only choices given which need be considered are n = 7 and n = 8. If
n = 7, then n(n -1) = 14k implies k = 3 but then r(r - 1) = 5k = 15 is an impossibility.
If n = 8, we get k = 4 and r = 5, a valid possiblity. Therefore, the answer is n = 8.
correct answer D
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
A.10 years
B.12 years
C.14 years
D.18 years
Answer: D.18 years
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 47
5x = 45
x = 9.
Hence, B's age = 2x = 19 years.
D)
Question: If Re.5 amounts to Rs.20 over a period of 3 years. What is the rate of simple interest?
A.80%
B.90%
C.100%
D.110%
Answer: C.100%
Explanation: 15 = (5*3*R)/100
R = 100%
Answer:C
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
A.12 liters
B.10 liters
C.4 liters
D.2 liters
Answer: D.2 liters
Explanation: 70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ------- 63
12 1/2% -------? => 9-7=2
ANSWER:D
Question: A machine puts c caps on bottles in n minutes. How many hours will it take to put caps on b bottles?
A.60bn/c
B.bc/60n
C.bn/60c
D.60b/cn
Answer: C.bn/60c
Explanation: A machine puts c caps on bottles in m minutes.
So, the machine puts 1 cap in n/c minutes
To put caps on b bottles, the machine will take bn/c minutes
In order to calculate the no. of hours taken , divide the product by 60.
So, our answer is bn/60c
Answer : C
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/16
B.18 2/11
C.18 2/16
D.18 2/14
Answer: B.18 2/11
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer:B
Question: A certain artist is selling five paintings for the following prices: $7,000, $8,000, $9,000, $23,000, and $25,000. If the price of the most expensive painting is increased $3,000, which of the following statements best describes the change in the mean and the median of the paintings?
A. The mean and the median will remain unchanged.
B. The mean will remain unchanged but the median will increase.
C. The mean will increase but the median will remain unchanged.
D. The mean and the median will increase by the same amount.
Answer: C. The mean will increase but the median will remain unchanged.
Explanation: Old set = {7000, 8000, 9000, 23000, 25000}.
New set = {7000, 8000, 9000, 23000, 28000} --> the median (middle term) will remain the same and the mean will increase.
Answer: C.
Question: 10 friends are living in 10 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 10 parking spots. In how many ways can they park their cars so that exactly 8 people park their cars in the spots allotted to them?
A.35
B.40
C.45
D.50
Answer: C.45
Explanation: 10C8 = 45
The remaining 2 people in each case will be parked in each other's parking spots.
The answer is C.
Question: Three partners A,B,C invested 360000rs.,378000rs. and 414000rs.in a business.at the end of one year,there is profit of 64000rs.then calculate the profit share of C.
A.24000
B.23000
C.28000
D.2750
Answer: B.23000
Explanation: ratio of A,B,C investment=360000:378000:414000=20:21:23.
total profit=64000 rs.
share of C=[64000×23/64]=23000 rs.
answer B
Question: In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. How old is Janice?
A.18
B.36
C.40
D.42
Answer: D.42
Explanation: Let Jane's age be J and daughters' age be D...
Given J + 3 = 3(D + 3 ) => J - 6 = 3D -> Eq1.
Given J-6 = (D-6)^2 --> Eq 2..
sub J-6 value in eq 2... 3D = D^2 - 12D + 36.
0 = D^2 - 15D + 36 => D = 12 or D = 3.
When D = 12 we get from eq 1... J+3 = 45 => J =42..
When D = 3 ..we get from eq 1.. J+3 = 18 => J = 15...
In the above options only 42 exits..
Answer: option D is correct answer..
Question: Michele invests 200 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?
A.$0.00
B.$133.00
C.$26.69
D.$1575.00
Answer: C.$26.69
Explanation: Suppose she invests n$ in the starting then in the subesequent days the money left after the day will be
n/2, n/4, n/8, n/16, n/32
So, answer will be C
Question: 10 different letters of English alphabet are given. A word is formed using 5 letters ( with replacement ) out of these. Find the probability that at least one letter is repeated in the word.
A.(10^5 - 10P5 ) / 10^5
B.(10P5 ) / 10^5
C.(10^5 - 10P5 ) / 10
D.None of these
Answer: A.(10^5 - 10P5 ) / 10^5
Explanation: Explanation :
Without restriction,
No. of arrangements of 5 letter out of 10 different letters = 10(5).
To find at least one, it is better to find the probability of the complement of the event (no letter is repeated).
No. of arrangements of 5 letters ( out of 10) without repetition = 10P5.
=> P (no letter is repeated)
= 10P5 / 10(5) .
=> P ( at least one letter is repeated )
= 1 - ( 10P5 / 10(5) ).
Hence, the required probability is (105 - 10P5 ) / 10(5)
Answer : A
Question: A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds. The length of the train (in metres) is:
A.186
B.176
C.175
D.96
Answer: A.186
Explanation: Explanation:
Let the length of train be L m.
Acc. to question
(279+L)/20 = L/8
2232+8L=20L
L= 2232/12 = 186 m
Answer A
Question: x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). When the equation is divided by (x + 1), it leaves a remainder -12. What are the values of ‘a’ and ‘b’?
A.2,2
B.2,6
C.2,1
D.2,9
Answer: B.2,6
Explanation: x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). So for x = 2 the equation will satisfy or we can say if we substitute the value of x in the equation as 2 it will result into 0.
8 - 4a + 6 - b = 0 or 4a + b = 14 ....(i)
Now if we say that by dividing the equation by (x + 1) we get the remainder as -12 then if we put x = -1 in the equation then it will result in -12.
-1 - a - 3 - b = -12 or a + b = 8 ....(ii)
By solving (I) and (II) a = 2 and b = 6.
Answer:B
Question: present ages of sam and john are in the ratio of 4:3 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what john's present age in years
A.6
B.12
C.20
D.8
Answer: A.6
Explanation: sam and john be 4x years and 3x years respectively
(4x+3)/(3x+3)=11/9
9(4x+3)= 11(3x+3), 36x+27=33x+33
36x-33x=33-27
x=2, therefore john's present age : 3x=6 years
correct answer(A)
Question: Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time E will the job be finished?
A.Noon
B.12:30 p.m.
C.1:00 p.m.
D.1:30 p.m.
Answer: C.1:00 p.m.
Explanation: Ans: C (1:00pm)
From 9:00-11:00c(2 hrs)
A can do 1/8 Job/hr. so in 2 hours he can do 1/4 job.
B can do 1/10 job/hr so in 2 hrs. he can do 1/5 Job.
C can do 1/12 job/hr so in 2 hours he can do 1/6 job.
Total = 1/4+1/5+1/6 = 37/60 Job
Now balance work needs to be done by B and C.
Balance Work= 23/60 Job
Combined rate of B and C = 1/10+1/12 = 11/60 job/hr.
So they will do 22/60 work in 2 hrs (approx. to the balance work of 23/60)
Hence the Job will be completed 2hrs. after 11:00 i.e. @ 1:00pm=E
Ans: C (1:00pm)
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
A.1 meters
B.6 meters
C.5 meters
D.3 meters
Answer: A.1 meters
Explanation: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 24,000 m : C is the circumference
C = 1 meters
correct answer A
Question: 25.25/2000 is equal to:
A.1.012526
B.0.012625
C.0.12526
D.0.12625
Answer: B.0.012625
Explanation: 25.25/2000 = 2525/200000
= 0.012625
ANSWER:B
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/3:1/5 . What is the minimum no. of pencils that the person should have?
A.41
B.65
C.70
D.77
Answer: A.41
Explanation: Rakesh : Rahul : Ranjan : Rohit = 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5
Step 1: At First we need to do is LCM of 2,3,3 and 5 is 30.
Step 2: Then pencil are distributed in ratio among friends,
Rakesh = ( 1 / 2 x 30 ) = 15.
Rahul = ( 1 / 3 x 30 ) = 10.
Ranjan = ( 1 / 3 x 30 ) = 10.
Rohit = ( 1 / 5 x 30 ) = 6.
Step 3: Total number of pencils are ( 15 x + 10 x + 10 x + 6 x) = 41 x.
For minimum number of pencils x = 1 .
The person should have at least 41 pencils.
A)
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
A.72
B.23
C.29
D.26
Answer: A.72
Explanation: Sum of the marks for the 12 students
= 12 * 36 = 432.
The marks of each student are doubled, the sum also will be doubled.
The new sum = 432 * 2 = 864. So, the new average
= 864/12 = 72.
Answer: A
Question: Linda spent 5/6 of her savings on furniture and the rest on a TV. If the TV cost her $500, what were her original savings?
A.$9000
B.$3000
C.$6000
D.$7000
Answer: B.$3000
Explanation: If Linda spent 5/6 of her savings on furniture, the rest
6 / 6 - 5 / 6 = 1 / 6 on a TV
But the TV cost her $500. So 1 / 6 of her savings is $500. So her original savings are 6 times $500 = $3000
correct answer B
Question: A and B together can complete a piece of work in 10days. If A alone can complete the same work in 15days, in how many days, in how many days can B alone complete that work?
A.10
B.30
C.25
D.15
Answer: B.30
Explanation: (A+B)'s 1day's work = 1/10
A's 1day's work = 1/15
B's 1days's work = (1/10)-(1/15) = 1/30
Hence, B alone can complete the work in 30days.
Answer is B
Question: If ratio of profit of A and B is 4:5 and they together invested Rs.90,000 then money invested by B is
A.Rs.48,000
B.Rs.45,000
C.Rs.30,000
D.Rs.50,000
Answer: D.Rs.50,000
Explanation: investment by B=(5*90000)/(4+5)
=50000
ANSWER:D
Question: (0.03)*(0.04)/(0.05)*(0.11)=?
A.0.2
B.0.22
C.0.5
D.0.005
Answer: B.0.22
Explanation: With questions like this, take a look at the answers first. Notice the only distinction between the answers is the factor of ten; thus, an exact calculation is not necessary to solve the problem, just a quick approximation.
.03*.04~.0012, which can be approximated to .0012.
.05*.11~=.0055
Thus we have 0.0012/0.055 give us 0.218
So the answer is 0.22(approximately)
The option is B
Question: Before a salary increase, the weekly salary of a worker for 26 hours in a week was as much as the worker is paid now for 20 hours of work in a week. What is the percent increase in the worker's salary per hour?
A.28
B.30
C.32
D.34
Answer: B.30
Explanation: Let x be the original salary per hour.
Let y be the salary per hour after the increase.
20y=26x
y=(26/20)x=1.3x
The salary increased 30%.
The answer is B.
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A.33/96
B.33/91
C.33/78
D.33/92
Answer: B.33/91
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is
= ¹²C₄/¹⁵C₄
= (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12)
= 33/91
Answer:B
Question: When average age of 24 members are 0, how many members greater than 0?
A.17
B.23
C.21
D.24
Answer: B.23
Explanation: Average of 24 numbers = 0.
Sum of 24 numbers (0 x 24) = 0.
It is quite possible that 23 of these numbers may be positive and if their sum is a then 24th number is (-a)
Answer is 23 (B)
Question: A car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. After servicing the car covers a certain distance in 5 hours. How much time will the car take to cover the same distance when not serviced?
A.8 hours
B.16 hours
C.15 hours
D.7 hours
Answer: D.7 hours
Explanation: Explanation :
Time = 75*5 / 25 = 15 hours
Answer â€“ D
Question: Billy's farm is in the shape of a rectangle. It's width is 45 yards less than its length. The area of the farm is 11,704 square yards. What is the perimeter of the farm?
A.88 yards
B.133 yards
C.260 yards
D.442 yards
Answer: D.442 yards
Explanation: l-w=45
lxw=11,704
Solving the 2 equations, you get l=133 yards and w=88 yards
So 2(l+w)= 442 yards
Correct answer: D
Question: The interest on a certain deposit at 4.5% p.a. is Rs. 405 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?
A.Rs.50
B.Rs. 45
C.Rs.40.5
D.Rs. 48.5
Answer: B.Rs. 45
Explanation: S.I. = Rs. 405 R = 4.5% T = 1 year
Principal = (100 *405)/(4.5*1) = Rs.9000
S.I at 5% interest = (9000*5*1)/100 = Rs.450
Difference in interest = 450 – 405 = Rs.45
ANSWER:B
Question: In a certain lottery drawing, two balls are selected at random from a container with 300 balls, numbered from 1 to 300, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
A.$9.85 x 10^6
B.$9.90 x 10^6
C.$1.00 x 10^7
D.$8.97 x 10^7
Answer: D.$8.97 x 10^7
Explanation: The max product of any two balls can be 299 * 300 = 9900 = 8.97 * 10^4
If you multiply it by $1000 the max amount will be 8.97* 10^7.
Answer: D
Question: What will be remainder when (67^67 + 67) is divided by 68 ?
A.1
B.63
C.66
D.67
Answer: C.66
Explanation: (x^n + 1) will be divisible by (x + 1) only when n is odd.
(67^67 + 1) will be divisible by (67 + 1)
(67^67 + 1) + 66, when divided by 68 will give 66 as remainder.
Answer:C
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
7 – 9 + 8 × 3 ÷ 20 =
A.11
B.10
C.12
D.-2
Answer: A.11
Explanation: A 11
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
A.2 hour
B.5 hour
C.1 hour
D.3 hour
Answer: C.1 hour
Explanation: C
1 hour
Speed Ratio = 1:3/4 = 4:3
Time Ratio = 3:4
1 -------- 1/3
3 --------- ? 1 hour
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A. 22.5%
B. 24%
C. 30%
D. 33%
Answer: B. 24%
Explanation: Say Morks income is - 100
So tax paid will be 40
Say Mindys income is 4*100 = 400
So tax paid is 20% * 400 = 80
Total tax paid = 40+80 = 120.
Combined tax % will be 120/100+400 = 24%
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
A.190 metres
B.160 metres
C.200 metres
D.120 metres
Answer: C.200 metres
Explanation: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 18 s
Distance Covered, d = vt = (400/36)× 18 = 200 m
Distance covered is equal to the length of the train = 200 m
Correct answer is 200 metres