RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Find the odd man out. 3576, 1784, 888, 440, 216, 105, 48
A.105
B.216
C.888
D.1784
Answer: A.105
Explanation: 3576
(3576-8)/2 = 1784
(1784-8)/2 = 888
(888-8)/2 = 440
(440-8)/2 = 216
(216-8)/2 = 104
(104-8)/2 = 48
Hence, 105 is wrong. 104 should have come in place of 105
Answer : Option A
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 1/4 brand X and 3/4 brand Y. what fraction of the cost of the blend is Brand X?
A.a. 2/5
B.b. 1/5
C.3. 1/2
D.4. 2/3
Answer: A.a. 2/5
Explanation: Assume Cost of X= Cx = 200 , Cost of Y = Cy=100
The blend contains 0.25 X and 0.75 Y ---> Cost of the blend = Cbl = 0.25*200+0.75*100= 125
Thus fraction of X in the blend = 0.25*200/125 = 2/5.
Answer : A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
A.54
B.77
C.36
D.88
Answer: A.54
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (180 + 180)/12 => x = 15
Speed of each train = 10 m/sec.
= 15 * 18/5 =- 54 km/hr.
Answer: A
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
A.1/5
B.5/6
C.21/65
D.7/3
Answer: C.21/65
Explanation: If a number is divisible by 4 the last 2 digits of the number has to be divisible by 4.
If the number ends with 12: Number of possibilities = 4*3 * 2 * 1 =24
number ends with 24: Possibilities = 4*3 * 2 * 1 = 24
number ends with 32: Possibilities =24
number ends with 52: Possibilities = 24
number ends with 36: Possibilities =24
number ends with 16: Possibilities = 24
number ends with 64: Possibilities = 24
Total number of possibilities with restriction = 7*24 = 168
Total number of possibilities without restriction = 6! = 720
Probability = 168/720 =21/65
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.22 1/2
B.22 1/8
C.22 1/4
D.22 2/2
Answer: A.22 1/2
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2 kmph Answer:A
Question: If (5!)^2–(4!)^2=2^a3^b13^c and a, b, and c are integers, then what is the value of a + b + c?
A.12
B.10
C.2
D.1
Answer: A.12
Explanation: (5!)^2 -(4!)^2=2^a3^b13^c
= [5^2*(4!)^2]-(4!)^2
=[25*(4!)^2]-(4!)^2=24*(4!)^2
= 24*(24^2)=24^3
=[2^3*3]^3=2^9*3^3
so a=9 b=3 c=0
hence a+b+c=9+3+0=12
answer=A
Question: A retailer buys 60 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
A.40
B.65
C.72
D.78
Answer: B.65
Explanation: let the market price of each pen be $1
then, Cost Price of 60 pens = $ 36 Selling Price of 60 pens =99% of $60=$ 59.40
profit %=((23.40*100)/36) %=65%
Answer B
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31.5¢, then what is the average price, in cents, of the two returned peanut butter cans?
A.46.5
B.11
C.47.5
D.66
Answer: A.46.5
Explanation: Total price of six cans = 6*36.5 = 219
Total price of 4 cans = 4*31.5 = 126
Total rice of two cans = 219 - 124 = 93
Average price of two cans = 93/2 = 46.5 c
Another way to do it is this:
Assume that the four leftover cans were of 31.5c each. The avg was 36.5c initially because the two cans were 36.5c each and were providing another 5c of cost to other 4 cans.
So cost of the two cans = 2*36.5 + 4*5 = 93
Avg cost of the two cans = 93/2 = 46.5c
Answer (A)
Question: If 'A' completes a piece of work in 3 days, which 'B' completes it in 5 days and 'C' takes 10 days to complete the same work. How long will they take to complete the work , if they work together?
A.1.5 days
B.4.5 days
C.7 days
D.9.8 days
Answer: A.1.5 days
Explanation: EXPLANATION:
Hint:
A's one day work =	1/3
B's one day work =	1/5
C's one day work =	1/10
(A+ B+ C)'s one day work =	1/3	+	1/5	+	1/10	=	1/1.5
Hence, A ,B & C together will take 1.5 days to complete the work.
ANSWER IS A
Question: After 19 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
A.7 liters
B.4 liters
C.3 liters
D.1 liters
Answer: D.1 liters
Explanation: 95% ----------- 19
5% ------------ ?
=> 1 liter
Answer: D
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
A.5:4
B.5:9
C.5:1
D.5:5
Answer: A.5:4
Explanation: 45 * 5/18 = 10
25:20 => 5:4
Answer: A
Question: What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: 612612 / 3 + 3 = 207207 / 3 + 3 = 7272 / 3 + 3 = 2727 / 3 + 3 = 1212 / 3 + 3 = 7B
Question: A man complete a journey in 30 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 10 km/hr. Find the total journey in km.
A.220 km
B.224 km
C.230 km
D.400 km
Answer: D.400 km
Explanation: 0.5x/20 + 0.5x/10 = 30
--> x/20 + x/10=60
--> 3x = 20x60
--> x = (60x 20)/3 = 400 km.
Answer : D
Question: How many of the positive divisors F of 120 are also multiples of 4 not including 120?
A.3.
B.4.
C.5.
D.7.
Answer: D.7.
Explanation: 4,8,12,20,24,40,60. (7) is the answer
Other way : factors of 120 = 2^3 * 3*5
Separate 2^2 ( which means 4)
Now, calculate the number of other factors.
F=2*3*5 = total positive factors are 2*2*2 = 8
This 8 factors include 120
So subtract 1 from 8
Ans is 7=D
Question: Find the L.C.M of 2/15, 3/10, 6/5
A.6/5
B.2/3
C.7/5
D.8/5
Answer: A.6/5
Explanation: Explanation:
LCM of Fractions = LCM of Numerators/HCF of Denominators
(LCM of 2, 3, 6)/(HCF of 15, 10, 5) = 6/5
Answer: Option A
Question: If 1/5th of a number decreased by 5 is 5, then the number is
A.25
B.50
C.60
D.75
Answer: B.50
Explanation: Explanation :
Let the number be a, then
a/5−5=5⇒a/5=10⇒a=50
Correct Option: B
Question: In what time will a train 45 m long cross an electric pole, it its speed be 108 km/hr?
A.0.5
B.1.25
C.1.5
D.2.5
Answer: C.1.5
Explanation: Speed = 108 * 5/18 = 30 m/sec
Time taken = 45/30 = 1.5 sec.
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
A.10
B.12
C.18
D.24
Answer: D.24
Explanation: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways
4: Or 4p = — 4:- 4X3X2X1- 24 ways
D
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.28 sec
B.16 sec
C.36 sec
D.18 sec
Answer: C.36 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer:C
Question: Mrs. Rodger got a weekly raise of $175. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$204
B.$231
C.$156
D.$175
Answer: D.$175
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 175.
So after completing the 1st week she will get $ (x+175).
Similarly after completing the 2nd week she will get $ (x + 175) + $ 175.
= $ (x + 175 + 175)
= $ (x + 350)
So in this way end of every week her salary will increase by $ 175.
D
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
A.22
B.73
C.90
D.77
Answer: C.90
Explanation: 200*2 = 400
580
-----
180
1----2
?----180 = 90
Answer: C
Question: If positive integer n is divisible by both 6 and 21, then n must be divisible by which of the following?
A.8
B.12
C.14
D.24
Answer: C.14
Explanation: A number divisible by both 6,21 is 42 which s divisible by 14.
IMO : Answer C 14
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
A.710
B.720
C.730
D.740
Answer: B.720
Explanation: 720
Option 'B'
Question: Varma can read a book in k minutes. What part of the book can he read in 5 minutes?(k>8)
A.(k - 8)/k
B.k/8
C.5/K
D.k-8
Answer: C.5/K
Explanation: Option C
Explanation:
Part of the book he can read in 1 minute = 1/k
Part of the book he can read in 5 minutes =5/k.
Answer: C
Question: Xavier starts from P towards Q at a speed of 40 kmph and after every 12 mins increases his speed by 20 kmph. If the distance between P and Q is 56 km, then how much time does he take to cover the distance?
A.40
B.48
C.44
D.36
Answer: B.48
Explanation: first 12min = 40 *12/60 =8 km
2nd 12min = 60*12/60 = 12 km
3rd 12 min = 80*12/60 = 16 km
4th 12 min = 100 *12/60 = 20 KM
TOTAL time 12.4 =48 min
B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A.6.25
B.5.5
C.7.4
D.5
Answer: A.6.25
Explanation: Explanation:
Runs scored in the first 10 overs = 10 × 3.2 = 32
Total runs = 282
Remaining runs to be scored = 282 - 32 = 250
Remaining overs = 40
Run rate needed =
250/40=6.25
ANSWER IS A
Question: Line k is in the rectangular coordinate system. If the b-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
A.-3b + 2y = 6
B.3b + 2y = -6
C.3b - 2y = 6
D.2b - 3y = 6
Answer: A.-3b + 2y = 6
Explanation: This question can be solved in much simpler way.
To find the b intercept
Put y=0 in the equation of the line.
To find the y-intercept
Put b=0 in the equation of the line.
So
Sub b=0 in the answer choices check whether you are getting y=3.
A. -3b + 2y = 6 --- y = 3
B. 3b + 2y = -6 --- y = -3
C. 3b - 2y = 6 ----- y = -3
D. 2b - 3y = 6 --- y = -2
E. -2b - 3y = 6 --- y =-2
Eliminate answer B,C,D and E.
So the answer is A.
Question: In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets E can be created from this process?
A. 35
B. 105
C. 210
D. 420
Answer: B. 105
Explanation: E=7C4 * 3C2 = 105 Answer B.
7C4 ways to choose 4 numbers for Box 1
3C2 ways to choose 2 numbers for Box2
1 way for Box 3 .
every combination will give a different product and can be arranged least to highest only in one way .B
Question: A Boeing 757 flies a direct route from Dallas, TX, to Phoenix, AZ and then returns to Dallas, TX. The flight is 900 miles one way. It took 2 hrs and 15 minutes for the flight to Phoenix and 2 hrs for the flight back to Dallas. What was the speed of the wind in mph?
A.20 mph
B.25 mph
C.30 mph
D.35 mph
Answer: B.25 mph
Explanation: Explanation:
Change the times in the problem to minutes first.
Speed of airplane from Dallas to Phoenix: (900/135) X 60 = 400 mph
Speed of airplane from Phoenix to Dallas: (900/120) X 60 = 450 mph
Wind speed: 1/2 (450 - 400) = 50/2 = 25 mph
Answer: Option B
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
A.250
B.300
C.400
D.500
Answer: C.400
Explanation: Let x be the total grown quantity of wheat. According to the question
(7%of x)+ 64 31 %of x)+3 7x 31x => 100+ 6 = 400 + 3 1200 x = — 400 million tonnes rice grown
C
Question: Line k is in the rectangular coordinate system. If the v-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
A.-3v + 2y = 6
B.3v + 2y = -6
C.3v - 2y = 6
D.2v - 3y = 6
Answer: A.-3v + 2y = 6
Explanation: This question can be solved in much simpler way.
To find the v intercept
Put y=0 in the equation of the line.
To find the y-intercept
Put v=0 in the equation of the line.
So
Sub v=0 in the answer choices check whether you are getting y=3.
A. -3v + 2y = 6 --- y = 3
B. 3v + 2y = -6 --- y = -3
C. 3v - 2y = 6 ----- y = -3
D. 2v - 3y = 6 --- y = -2
E. -2v - 3y = 6 --- y =-2
Eliminate answer B,C,D and E.
So the answer is A.
Question: Sum of two numbers prime to each other is 8 and their L.C.M. is 15. What are the numbers?
A.3 and 5
B.3 and 4
C.4 and 5
D.5 and 10
Answer: A.3 and 5
Explanation: As two numbers are prime, only options satisfy ie option A and B and C
but option D will not make the product of numbers i.e 15
ANSWER:A
Question: Meg and Bob are among the 3 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
A.24
B.3
C.60
D.90
Answer: B.3
Explanation: Total # of ways the race can be finished is 3!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 3!/2=3.
Answer: B.
Question: If 9 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
A.9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
B.9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
C.9 × 10
D.36
Answer: D.36
Explanation: 1st person will have 9 handshakes, 2nd will have 8, ....8th will have 1 and 9th will have 0
=8+7+6+5+4+3+2+1 = 36
if we generalize this: if there are n people then there will be n(n-1)/2 handshakes.
Ans.D)
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/4, 1/8, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
A.1/16n
B.(n-1)/32n
C.1/8n
D.(n+2)/2n
Answer: B.(n-1)/32n
Explanation: 1/4 * 1/8 * (1-1/n)
= 1/32 * (n-1)/n
= (n-1)/32n
Answer - B
Question: On dividing 199 by a number, the quotient is 11 and the remainder is 1. Find the divisor.
A.A)12
B.B)14
C.C)16
D.D)18
Answer: D.D)18
Explanation: d = (D-R)/Q
= (199 - 1)/11
= 198/11 = 18
D)
Question: Find the L.C.M. of 72, 108 and 2100.
A.37800
B.37600
C.37200
D.37500
Answer: A.37800
Explanation: 72 = 2^3 x 3^2, 108 = 3^3 x 2^2, 2100 = 2^2 x 5^2 x 3 x 7.
L.C.M. = 2^3 x 3^3 x 5^2 x 7 = 37800.
Answer is A.
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1100 more than D, what is B's share?
A.Rs. 500
B.Rs. 1500
C.Rs. 2200
D.Rs. 2500
Answer: C.Rs. 2200
Explanation: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1100
x = 1100.
B's share = Rs. 2x = Rs. (2 x 1100) = Rs. 2200.
Answer = C
Question: It is known that no more than 7 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?
A.220
B.250
C.320
D.420
Answer: D.420
Explanation: No more than 7 children attending the party means the number of children could be 1,2,3,4,5,6,7.
We need to find a number that is divisible by each of these. Out of the choices given only 420 is divisible by each of these numbers.
Hence , answer is D.
Question: We had $3500 left after spending 30% of the money that we took for shopping. How much money did we start with?
A.$4600
B.$4800
C.$5000
D.$5200
Answer: C.$5000
Explanation: Let x be the amount of money we started with.
0.7x = 3500
x = 5000
The answer is C.
Question: If y > 0, (2y)/20 + (3y)/10 is what percent of y?
A.40%
B.50%
C.60%
D.70%
Answer: A.40%
Explanation: soln:-
can be reduced to y/10+3y/10 =2y/5=40%
ANSWER:A
Question: If 148/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
A.I only
B.III only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: I think, here we should use the greatest common factor.
The greatest common factor for 148 and 108 is 36.
So 36/x is an integer.
For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.
Ans is C.
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.7!
B.8!
C.9!
D.10!
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: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A.91 (1/3) kmph
B.21 (1/3) kilometre per hour
C.81 (1/3) kmph
D.21 (1/7) kmph
Answer: B.21 (1/3) kilometre per hour
Explanation: Let the total distance be x km
total time taken
= (x/4)/16 + (3x/4)/ 24
= x/64 + x/32 = 3x/64
Average speed = x/(3x/64)
= 64/3kmph = 21 (1/3)kmph.
Answer:B
Question: Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
A.10 min. 20 sec.
B.11 min. 45 sec.
C.12 min. 30 sec.
D.14 min. 40 sec.
Answer: A.10 min. 20 sec.
Explanation: Take LCM of 15 and 20 and get the total capacity of tank as 60 .
Then A will fill 4li in 1 min and B will fill 3 li in 1 min so total will be 7 . A left after 4 min so they worked together for 4 min so 7*4= 28 . now subtract it from 60.(60-38=32). This will be filled by b so time taken would be..10 min 20 sec.
ANSWER:A
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
A.1/2
B.2
C.2/3
D.4/5
Answer: A.1/2
Explanation: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2
Ans.(A)
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
A.15 kmph
B.17 kmph
C.18 kmph
D.19 kmph
Answer: A.15 kmph
Explanation: 90 * 10/60
= 15 kmph
Answer: 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.57%
B.60%
C.58%
D.50%
Answer: D.50%
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
=> 8,000 { [1 + r/100]2 - 1} = (10,000)2r /100
=> 8{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5
=> 16r/100 + 8r2/(100)2 = 20r/100
=> 4r/10 = 8r2/(100)2
=> 8[r/100]2 - 4r/100 = 0
=> r/100 {8r/100 -4} = 0
=> r = 0% of 50%
Since r!= 0%, r =50%
Answer:D
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 16 years more than twice the age of the son. Find the present age of the father.
A.33
B.38
C.29
D.51
Answer: D.51
Explanation: if the present age be x years.
father's will be (3x+3)years..
so, (3x+3+3)=2(x+3)+16
or, x=16
so the fathers present age =(3x+3)=(3*16+3)years =51years..
ANSWER : OPTION D
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $150 ?
A. $1
B. $2
C. $3
D. $4
Answer: B. $2
Explanation: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$.
B.
Question: The average height of 60 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
A.287 cm
B.150.8 cm
C.276 cm
D.287 cm
Answer: B.150.8 cm
Explanation: Total height = 150 * 60 = 9000 cm.
New average = [9000 - 5 * 146 + 5 * 156 ] / 60
= 150.8 cm.
Answer:B
Question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
A.280
B.290
C.Rs.342
D.250
Answer: C.Rs.342
Explanation: 400*(90/100)* (95/100) = 342
C
Question: If the price of gasoline increases by 25% and a driver intends to spend only 10% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
A.5%
B.8%
C.10%
D.12%
Answer: D.12%
Explanation: Let x be the amount of gasoline the driver buys originally.
Let y be the new amount of gasoline the driver should buy.
Let P be the original price per liter.
(1.25*P)y = 1.1(P*x)
y = (1.1/1.25)*x = 0.88x which is a reduction of 12%.
The answer is D.
Question: A bus travel 5/7 of its speed covers 42 km in 1 hr 40 min48 sec. What is theactual speed of the bus ?
A.20 km/hr
B.35 km/hr
C.40 km/hr
D.53 km/hr
Answer: B.35 km/hr
Explanation: Time = 1 hr 40 min 48 sec = 1hr +4060hr+483600hr=1+23+175=12675hrdistance = 42 kmspeed=distancetime=42(12675)=42×75126⇒57 of the actual speed = 42×75126⇒actual speed = 42×75126×75=42×1518=7×153=7×5=35 km/hr
B
Question: A tank is 25% full of oil. The oil consists of 25% WTI Crude Oil and 75% Brent Crude Oil. 2/3 rd of the remainder of the tank is filled with 400 barrels of WTI Crude Oil. How much WTI Crude Oil is in the tank?
A.425 barrels
B.437.5 barrels
C.450 barrels
D.500 barrels
Answer: C.450 barrels
Explanation: The tank was 25% full. Then, 2/3 rd of the remainder of the tank, so 2/3 rd of 75% of the tank, was filled with 400 barrels of WTI Crude Oil. 2/3 rd of 75% is 50%, thus we are told that 50% of the tank amounts for 400 barrels, which makes the capacity of the tank 800 barrels.
Therefore, initially, the tank had 0.25∗0.25∗800=500 barrels of WTI Crude Oil. After 400 barrels of WTI Crude Oil were added the amount of WTI Crude Oil became 50+400=450 barrels.
Answer: C.
Question: What is the maximum value of x3y3 + 3 x*y when x+y = 8?
A.4144
B.4122
C.455
D.4189
Answer: A.4144
Explanation: The question probably be x3.y3+3x∗yx3.y3+3x∗y
Sustitute x = 4 and y = 4
Option A
Question: In the set of positive integers from 1 to 70, what is the sum of all the odd multiples of 5?
A.180
B.245
C.240
D.200
Answer: B.245
Explanation: reduce 1 - 70
5 - 15 - 25 - 35 - 45 +55+ 65 are valid multiples 0f 5 . Add them --> 245
B
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
A.4 days
B.8 days
C.6 days
D.5 days
Answer: A.4 days
Explanation: Let 1 men's 1 day work = x and 1 boy's 1 day work = y.
Then, 6x + 8y = 1/10 and 26x + 48y = 1/2
Solving these two equations, we get:
x = 1/100 and y = 1/200
(15 men + 20 boys)'s 1 day work = (15/100 + 20/200) = 1/4
15 men and 20 boys can do the work in 4 days.
Answer: A