RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A can do a piece of work in 8 days. B can do it in 12 days. With the assistance of C they completed the work in 4 days. Find in how many days can C alone do it?
A.87 days
B.20 days
C.16 days
D.24 days
Answer: D.24 days
Explanation: C = 1/4 - 1/8 - 1/12 = 1/24
=> 24 days
Answer:D
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50% while buying and by 10% while selling. What is his percentage profit?
A.10.22%
B.20.22%
C.21.22%
D.50%
Answer: D.50%
Explanation: The owner buys 100kg but actually gets 150kg;
The owner sells 100kg but actually gives 90kg;
Profit: (150-90)/90*100=50%
Answer: D.
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40 sec
B.65 sec
C.18 sec
D.16 sec
Answer: A.40 sec
Explanation: Speed = 45 * 5/18
= 25/2 m/sec
Total distance covered
= 360 + 140
= 500 m
Required time = 500 * 2/25
= 40 sec
Answer:A
Question: After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 75%?
M13-03.
A.N−35
B.N+72
C.2N+78
D.2N+72
Answer: C.2N+78
Explanation: Say N=1.
So, after 1 test John has 70 correct answers.
In 2 tests, so in 200 questions he needs to have 0.75*200=150 correct answers, so in the second test he must get 150-70=80 questions correctly.
Now, plug N=1 into the answer choices to see which one yields 80. Only option D fits.
Answer: C.
Question: What is the greatest power that 3 can be raised to so that the resulting number is a factor of 9!?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: the number of 3s in 9!= 9/3=3..
ans B
Question: In the faculty of Reverse-Engineering, 350 second year students study numeric methods, 250 second year students study automatic control of airborne vehicles and 100 second year students study them both. How many students are there in the faculty if the second year students are approximately 25% of the total?
A.1800
B.1900
C.2100
D.2000
Answer: D.2000
Explanation: Total number of students studying both are 350 + 250 - 100 = 500 (Subtracting the 100 since they were included in the both the other numbers already).
So 25% of total is 500, so 100% is 2000
Answer is D
Question: The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?
A.Rs.126
B.Rs.132
C.Rs.120
D.Rs.114
Answer: A.Rs.126
Explanation: Let the train fare between the two places for one person be Rs.t
Bus fare between the two places for two persons Rs.4/3 t
=> 6/2 (4/3 t) + 8(t) = 1512
=> 12t = 1512 => t = 126.
ANSWER:A
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
A.1200
B.2877
C.2779
D.1770
Answer: A.1200
Explanation: Explanation:
At 5% more rate, the increase in S.I for 10 years = Rs.600 (given)
So, at 5% more rate, the increase in SI for 1 year = 600/10 = Rs.60/-
i.e. Rs.60 is 5% of the invested sum
So, 1% of the invested sum = 60/5
Therefore, the invested sum = 60 × 100/5 = Rs.1200
Answer: A) Rs.1200
Question: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
A.14
B.8
C.20
D.10
Answer: A.14
Explanation: Option D
Explanation:
Let A worked for x days.
x/21 + 4/28 = 1 => x/21 = 6/7 => x = 18
A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 7t + 10 = 0, with a > b, what is the value of a â€“ b?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Factor the left side of the equation:
t^2 â€“ 7t + 10 = 0
(t â€“ 2)(t â€“ 5) = 0
t = 2, t = 5
Thus, a = 5 and b = 2. So a â€“ b = 5 â€“ 2 = 3.
The answer is B.
Question: A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.328
B.279
C.270
D.288
Answer: C.270
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 38 = 15
x + 300 = 570
x = 270 m. Answer:C
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A.228
B.2767
C.189
D.266
Answer: C.189
Explanation: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
Answer: C
Question: At the end of the month, a certain ocean desalination plant’s reservoir contained 40 million gallons of water. This amount is one fifth of the normal level. If this amount represents 80% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level?
A.20
B.30
C.40
D.50
Answer: C.40
Explanation: the Q talks of total capacity, normal level, present level, shortage etc..
so it is all about not going wrong in these terms
40 MG= 80% of Total..
total = 40/.8=50MG..
Normal level= 1/5 of 50=10MG..
shortage of normal level=50-10=40MG..
C
Question: Find a sum for first 5 prime number'ss?
A.25
B.28
C.30
D.35
Answer: B.28
Explanation: Required sum = (2 + 3 + 5 + 7 + 11) = 28
Note: 1 is not a prime number
Option B
Question: A man is 29 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.14 years
B.18 years
C.20 years
D.27 years
Answer: D.27 years
Explanation: Let the son's present age be x years. Then, man's present age = (x + 24) years.
(x + 29) + 2 = 2(x + 2)
x + 31 = 2x + 4
x = 27.
answer :D
Question: If (a-3)(b-2) =0, which of the following must be true ?
I. a=3 and b=2
II. if a is not = 3, then b=2
III. if a=3, then b is not=2
A.I only
B.II only
C.III only
D.I and II
Answer: B.II only
Explanation: (a-3)(b-2)=0
So either a=3 or b=2 or both. It is 'or' not 'and', so it could be any of the three possibilities. Thus I and III are not necessarily true.
The answer is B.
Question: A man's speed with the current is 20 kmph and speed of the current is 1 kmph. The Man's speed
against the current will be
A.11 kmph
B.12 kmph
C.18 kmph
D.17 kmph
Answer: C.18 kmph
Explanation: Explanation:
Speed with current is 20,
speed of the man + It is speed of the current
Speed in sƟll water = 20 - 1 = 19
Now speed against the current will be
speed of the man - speed of the current
= 19 - 1 = 18 kmph
Answer: C
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 69. What is that number
A.7
B.10
C.12
D.14
Answer: A.7
Explanation: Explanation:
=> 3(2x+9) = 69
=> 2x+9 = 23
=> x = 7
Answer: Option A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.187 sec
B.190 sec
C.278 sec
D.268 sec
Answer: B.190 sec
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50
= 200 sec.
Time taken by A = 200 - 10
=190 sec.
Answer: B
Question: If A and B are two events such that P (A) = 2/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B).
A.A)2/8
B.B)3/8
C.C)4/8
D.D)5/13
Answer: B.B)3/8
Explanation: P(not A and not B) = 1 - (P(A) + P(B) - P(AB))
which you might find somewhere in your text.
Substituting in our probabilities we get:
P(not A and not B) = 1 - (2/4 + 1/2 - 3/8)
P(not A and not B) = 1 - (5/8)
P(not A and not B) = 3/8.
B
Question: What is the probability of getting a sum 9 from two throws of a dice?
A.1/6
B.1/8
C.1/9
D.1/12
Answer: C.1/9
Explanation: In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
P(E) =	n(E)/n(S)	=	4/36	=	1/9	.
Answer :C
Question: M is 25% of N. M is also 75% of D. D is 95% of L. How are N and L related?
A.180%
B.200%
C.300%
D.285%
Answer: D.285%
Explanation: If...
M=.25N
M=.75D
D=.95L
Then...
.25N=.75D
Divide both sides by .75
.33N=D
.33N=.95L
Divide both sides by .33
N=2.85L
N is 285% of L
The answer is D
Question: If 4 women can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
A.day
B.day
C.days
D.days
Answer: B.day
Explanation: The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day.
B)
Question: In how many ways can the letters of the word REPORT be arranged?
A.1206
B.360
C.2520
D.3000
Answer: B.360
Explanation: REPORT has 6 words, but R is repeated two times. Thus ways = 6! / 2! = 360 ways
B
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
A.12 1/2 days
B.12 1/8 days
C.12 1/2 days
D.22 1/2 days
Answer: A.12 1/2 days
Explanation: 15/25 + 10/x = 1 => x = 25
1/25 + 1/25 = 2/25
25/2 = 12 1/2 days
Answer:A
Question: x = y - (5/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will
A.decrease
B.stay the same
C.increase four fold
D.doubles
Answer: D.doubles
Explanation: Alternate approach
Plug in some values of y > 0
Let y = 10
So, x = y - (5/y)
Or, x = 10 - (5/10) =9.5
Let y = 20
So, x = y - (5/y)
Or, x = 20 - (5/20) =19.75
So, x increases from 9.5 to 19.75
Hence the number increases 2 times, thus the correct answer will be (D)
Question: Which expression is the greatest
A.3252/3257
B.3456/3461
C.3591/3596
D.3846/3951
Answer: D.3846/3951
Explanation: Options can be re-written as (x-5)x => 1-(5/x)
A) 1- (5/3257)
B) 1- (5/3461)
C) 1- (5/3596)
D) 1- (5/3951)
E) 1- (5/3458)
To get the largest among these second half should be the least and so denominator to be largest. Hence 'D'.
Question: A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
A.250
B.300
C.350
D.400
Answer: B.300
Explanation: 60% = 180 marks
1% = 3 marks
100% = 300 marks
The answer is B.
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
A.1 hour
B.2 hours
C.3 hours
D.4 hours
Answer: A.1 hour
Explanation: Let the duration of the flight be x hours
600/x - 600 (x+1/2)= 200
600/x - 1200/(2x+1) = 200
x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x can't be negative hence x=1
x = 1 hr.
Duration =1 hr
ANSWER:A
Question: Working together, Jose and Jane can complete an assigned task in 10 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 25 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
A.25 days
B.30 days
C.60 days
D.65 days
Answer: A.25 days
Explanation: Assume:
Jose does 1 job in x days, so Jose does 1/x job in a day
Jane does 1 job in y days, so Jane does 1/y job in a day
Together, they does (x+y)/xy job in a day. This is equals to 1/20. So
(x+y)/xy = 1/10
10(x+y) = xy
Next, we're told 1 job takes 25 days to complete if Jose and Jane each does half the work. So since Jose does 1 job in x days, he wil need x/2 days to do half the job. Jane similarly will need y/2 days to do the other half.
x/2 + y/2 = 25
x+y = 50
So
xy = 500
The answer choices are:
25 days
30 days
60 days
65 days
36 days
From the answer choices, So I'll go for 25 days for Jose and 20 days for Jane.
Answer : A
Question: Sonalika goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?
A.5km north east
B.4km north east
C.5km north west
D.6km north east
Answer: A.5km north east
Explanation: she is currently at 5km north east from the starting point
ANSWER:A
Question: A train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
A.50 m
B.150 m
C.225 m
D.300 m
Answer: C.225 m
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 150)/25 = x/15 => x = 225 m.
ANSWER:C
Question: Carol spends 1/4 of her savings on a stereo and 1/5 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
A.1/4
B.2/7
C.5/12
D.9/20
Answer: D.9/20
Explanation: Total Savings = S
Amount spent on stereo = (1/4)S
Amount spent on television = (1-1/5)(1/4)S = (4/5)*(1/4)*S = (1/5)S
(Stereo + TV)/Total Savings = S(1/4 + 1/5)/S = 9/20
Answer: D
Question: A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?
A.52/7
B.8
C.14/2
D.6
Answer: A.52/7
Explanation: (A+B) work in 2 days=[1/7+1/8]=15/56
(A+B) work in 6 days=45/56
now,the turn of A,work of A in 1 day=1/7.
till now completed work=[45/56+1/7]=53/56, remaining work=[1-53/56]=3/56
now,turn of B,1/8 work B do in 1 day
so,3/56 part of work B do=[8*3/56]=3/7 days
total time taken=6+1+3/7=52/7 days
answer A
Question: If a man travels f miles an hour for t hours and r miles an hour for k hours, what is his average rate in miles per hour for the entire distance traveled?
A.ft + rk
B.(ft + rk)/2
C.t/f + k/r
D.(ft + rk)/(t + k)
Answer: D.(ft + rk)/(t + k)
Explanation: Average Speed = Total Distance /Total Time Taken
Total Distance travelled in t hours = ft
Total Distance travelled in s hours = rk
Total Time taken = t+k
Therefore , Average Speed = (ft+tk)/(t+k)
Answer D
Question: The jogging track in a sports complex is 561 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
A.5.29 min
B.5.28 min
C.4.08 min
D.9.28 min
Answer: C.4.08 min
Explanation: Clearly, the two will meet when they are 561 m apart.
To be (4.5 + 3.75) = 8.25 km apart, they take 1 hour.
To be 561 m apart, they take (100/825 * 561/1000) hrs = (561/8250 * 60) min = 4.08 min.
Answer: C
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation T in which of the following?
A. I, III, II
B. II, I, III
C. II, III, I
D. III, I, II
Answer: B. II, I, III
Explanation: Range of 1st Set = (p-j)
Range of 2nd Set = P+15 - j +10 = (p-j) +25
Range of 3rd Set = P -2 - j - 2 = (p-j) - 4
R2 > R1 > R3 ==> SD2 > SD1 > SD3
Since,T= Higher the Range -> More Dispersion in the Set -> More Standard Deviation.B
Question: If 6!/3^x is an integer, what is the greatest possible value of x?
A.2
B.4
C.5
D.6
Answer: A.2
Explanation: 6 - 2*3
3 - 1*3
Hence max of 3^2 is allowed. IMO A.
Question: A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.42
B.70
C.175
D.165
Answer: C.175
Explanation: 5C1*7C4 = 5*35 = 175
the answer is (C)
Question: A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.25 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 30 worth of diesel fuel?
A.20 seconds
B.1 minute
C.1 minute 20 seconds
D.20 minutes
Answer: B.1 minute
Explanation: 2 gal / 5 sec
$1.25 / gal
$30/$1.25 = 24 gal
2 gal / 5 sec with 24 gal = 60 sec
B. 1 minute
Question: In how many ways can the letters of the word LITTER be arranged in a row so that the vowels appear in alphabetic order?
A.390
B.400
C.440
D.360
Answer: D.360
Explanation: TWO letters can be arranged in 2! ways.
only one combination EI is required.
6 letters can be arranged in 6! ways.
thus 6!/ 2! * 1 = 360
D
Question: what is the remainder when 9614241 is divided by 99
A.50
B.65
C.45
D.54
Answer: D.54
Explanation: 9614241 / 99
9614241 / 9*11
1068249 / 11 => rem = 6
we have cancelled it by 9
reqd remainder = 9*6 = 54
ANSWER:D
Question: Alfred buys an old scooter for $4700 and spends $800 on its repairs. If he sells the scooter for $6400, his gain percent is?
A.5.45%
B.16.36%
C.7%
D.8.12%
Answer: B.16.36%
Explanation: C.P. = 4700+800 = $5500
S.P. = $6400
Gain = 6400-5500 = $900
Gain% = 900/5500 * 100 = 16.36%
Answer is B
Question: n a series of numbers , the next number is formed by adding 1 to the sum of the previous numbers, and the 10th number is 1280. Then what is the first number in the series? (series will be like this x , x+1, (x+(x+1))+1,....... )
A.2
B.4
C.5
D.7
Answer: B.4
Explanation: Answer: Option B
Sol.
The given series is x, x + 1, 2x + 2, 4x + 4 ......
If you observe the pattern here, the coefficient of x + 1 is in the powers of 2. So 4th term has a power of 2, 5th term has a power of 3... 10th term has a power of 8. So tenth term would be 2828(x + 1)
= 256(x+1).
Given 256(x+1) = 1280
x = 4.
Answer:B
Question: Josh spends a total of $5.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
A.99
B.100
C.101
D.109
Answer: C.101
Explanation: Let x be the number of single bubblegums and y be the number of bubblegum pack.
then
5x+50y=550
or x+10y=110
or x=110-10y
Now,
let y=0, then x= 110 and N=x+y or N=0+110 =110.
let y=1, then x=100 and N=100+1= 101 (given in the options)
let y=2, then x= 90 and N=92
the value will further decrease and hence we do not need to calculate anymore values.
ANSWER:- C
Question: Alice deposited Rs 2 million in bank at 4 % simple interest per year. After 10 year how many Rs she will get from bank?
A.75000
B.90000
C.10000
D.80000
Answer: D.80000
Explanation: i = (200000*10*4)/100
i = 80000
Answer: D
Question: By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
A.96%
B.48%
C.50%
D.36%
Answer: C.50%
Explanation: (SP of 33m)-(CP of 33m)=Gain=SP of 11m
SP of 22m = CP of 33m
Let CP of each metre be Re.1 , Then, CP of 22m= Rs.22,SP of 22m=Rs.33.
Gain%=[(11/22)*100]%=50%
Ans: C
Question: There are many numbers that can be expressed as the sum of three squares in three different ways.
Can you find out the smallest of such number?
A.55
B.54
C.49
D.50
Answer: B.54
Explanation: B
54
7^2 + 2^2 + 1^1
6^2 + 3^2 + 3^2
2^2 + 5^2 + 5^2
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
A.22
B.679
C.62
D.34
Answer: D.34
Explanation: M + Tu + W + Th = 4 * 48 = 192
Tu + W + Th + F = 4 * 46 = 184
M = 42
Tu + W + Th = 192 -42 = 150
F = 184 – 150 = 34.Answer: D
Question: Working alone, A can complete a certain kind of job in 10 hours. A and D, working together at their respective rates, can complete one of these jobs in 5 hours. In how many hours can D, working alone, complete one of these jobs?
A. 9
B. 10
C. 11
D. 12
Answer: B. 10
Explanation: Let total time taken by D to complete the job = D
total time taken by A to complete the job = 10
Work done by A in an hour
1/A = 1/10
Working together A and D can complete the job in 5 hours
1/A + 1/D = 1/5
=>1/D = 1/5 - 1/A
= 1/5 - 1/10
= 1/10
=> D = 10 hours
Answer B
Question: Susan, Tim,and Kim need to be seated in 3 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
A.A)6
B.B)120
C.C)80
D.D)240
Answer: A.A)6
Explanation: Total number of arrangements = 3! = 6
In exactly half, Susan will be to the left of Tim, which gives us 3 arrangements
Option (A)
Question: Simplify 682 * 9
A.2459
B.4236
C.6895
D.6138
Answer: D.6138
Explanation: Explanation:
Although it is a simple question, but the trick is to save time in solving this.
Rather than multiplying it we can do as follows:
682 * (10 - 1) = 6820 - 682 = 6138
Answer: Option D
Question: Calculate the L.C.M of 4/9, 5/ 7, 9/13, 7/15 is :
A.1230
B.1290
C.1260
D.1240
Answer: C.1260
Explanation: Required L.C.M =L.C.M. of 4, 5, 9, 7/H.C.F. of 9, 7, 13, 15 =1260/1=1260
Answer is C
Question: If x=2y=4z, what is y-z, in terms of x?
A.2x
B.x/2
C.x/4
D.3x/5
Answer: C.x/4
Explanation: x=2y=4z
x/4 = z
and y = x/2
y-z = x/2 - x/4 = x/4
Answer is C
Question: In a garden, 26 trees are planted at equal distances along a yard 700 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
A.10
B.28
C.12
D.14
Answer: B.28
Explanation: 26 trees have 25 gaps between them.
Length of each gap = 700/25 = 28
i.e., distance between two consecutive trees = 28
Answer is B.
Question: In a tree, 2/5 of the birds are robins while the rest are bluejays. If 1/3 of the robins are female and 2/3 of the bluejays are female, what fraction of the birds in the tree are male?
A.3/5
B.4/15
C.7/15
D.8/15
Answer: C.7/15
Explanation: The fraction of birds that are male robins is (2/3)(2/5)=4/15.
The fraction of birds that are male bluejays is (1/3)(3/5)=1/5.
The total fraction of male birds is 4/15 + 1/5 = 7/15.
The answer is C.
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.19 kmph
B.18 kmph
C.14 kmph
D.13 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph.
Answer: C
Question: Zoe is interested in dividing her high school trophies into boxes so they can be put away in storage. Unfortunately, they do not divide equally. It turns out that in order for the boxes to each have an equal number of trophies, Zoe won't need one of the boxes and will have to add two of her college trophies to the last box. Which of the following can describe the number of initial high school trophies and the initial number of boxes (in the order trophies, boxes)?
A.26; 8.
B.50; 7.
C.27; 4.
D.25; 3.
Answer: A.26; 8.
Explanation: Option A.) Initially 26 trophies, increased to 28 trophies; and initially 8 boxes decreased to 7 boxes:
28 / 7 = 4 trophies per box.
Question: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
A.2/3 hrs
B.3/4 hrs
C.1/3 hrs
D.1/4 hrs
Answer: B.3/4 hrs
Explanation: Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time
so 1/3rd of the usual time = 15min
or usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
ANSWER IS B
Question: The ages of two persons differ by 32 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
A.20,20
B.46,14
C.25,15
D.30,10
Answer: B.46,14
Explanation: Explanation:
Let their ages be x and (x + 32) years.
5 (x - 5) = (x + 32 - 5) or 4x = 52 or x = 14.
Their present ages are 46 years and 14 years
Option B
Question: A saleswoman makes a 5% commission on the selling price for each products she sells. If she sells 250 products and makes $750 in commission, what was the selling price of each product?
A.30
B.60
C.90
D.120
Answer: B.60
Explanation: Commission per one product: 750/250=3
3 = 5% of the selling price
3 = 0.05x
x = 60
Answer is B.
Question: If it takes 30 construction workers 70 days to build a skyscraper, how long would it take 50 workers?
A.52 days
B.47 days
C.42 days
D.37 days
Answer: C.42 days
Explanation: 30 * 70 = 50 * x
x = 42
Answer: C