RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1800. What is their H.C.F.?
A.10
B.20
C.30
D.40
Answer: C.30
Explanation: Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x
60x = 1800
x = 30
The numbers are (3 x 30), (4 x 30) and (5 x 30).
The H.C.F. is 30.
The answer is C.
Question: Two cars start at the same time from opposite ends of a highway that is 175 miles long. One car is riding at 25 mph and the second car is riding at 45 mph. How long after they begin will they meet?
A.2
B.2.5
C.3
D.3.5
Answer: B.2.5
Explanation: As cars are moving in opposite directions their speeds will be added. So their relative speeds: 45+25 = 70 mph
Total distance to be covered = 175 miles.
Time taken would be: 175 miles/70 mph = 2.5 hours
B is the answer.
Question: Find the highest value of 'a' so that 365a16 is divisible by 8.
A.9
B.8
C.0
D.2
Answer: B.8
Explanation: Explanation:
Given, number is divisible by 8 only if 'a16' is divisible by 8.
.: highest value of a is '8'.
Answer: Option B
Question: A certain machine produces 780 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 4 days?
A.7,000
B.24,000
C.74,880
D.100,000
Answer: D.100,000
Explanation: Since 7 days consist of 24*4 hours the total is 96 hours.
Since every hour the machine produces 780 units of product P the total product during 96 hours is 96*780=74,880.
Correct Option : D
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent Q of the interns report no feelings of tiredness during their shifts?
A.6
B.14
C.19
D.20
Answer: C.19
Explanation: < 6 hours sleep>= 6 hours sleepTOTAL
Tired75--
Not Tired-0.7*X?
TOTAL80X100
Interns who receive< than 6 hours sleepandNot Tired= 80 - 75 = 5;
TOTAL interns who receive >= 6 hours sleep= 100 - 80 = 20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20 =14;
Interns who areNot Tired Q= 5 + 14 = 19.
Answer: C.
Question: ABCD is a square where AB =âˆš4008. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
A.3008
B.2004
C.1008
D.2016
Answer: B.2004
Explanation: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is
always
4008/2= 2004 .
correct answer B
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round-trip has the technician completed?
A.30
B.40
C.70
D.80
Answer: C.70
Explanation: round trip means 2 trips i.e.to and fro. He has completed one i.e 50% completed. then he traveled another 40% of 50% i.e 20%. so he completed 50 +20 =70 % of total trip
C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
A.12.7
B.16.5
C.12.3
D.12.5
Answer: D.12.5
Explanation: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.
Answer: D
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 26.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
A.one
B.two
C.three
D.four
Answer: B.two
Explanation: The most time consuming part in this question is to define the mean. Under exam pressure and time pressure it is very easy to make mistake.
it is easier to group numbers: 130*3=390; 105*2=210; 75+85=160; 70+80=150; 90;
Next stage combine results, again using more convenient ways to calculate: 390+210=600; 160+150=310; 90. 600+310+90=1000. Since there are 10 numbers the mean is 100. Questions asks to find the quantity of numbers one SD BELOW the mean, which is 100-26,4=73,6. There are only two numbers below 73,6. The answer is B
Question: If 40 sheep eat 40 bags of grass in 40 days. In how many days one sheep will eat one bag of grass?
A.1
B.20
C.40
D.80
Answer: C.40
Explanation: Explanation :
Let the required number of days be x.
Less sheep, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
Sheep 1 : 40 :: 40 : x
Bags 40 : 1
1 x 40 x x = 40 x 1 x 40
x = 40.
Answer : C
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
A.10 Kmph
B.15 Kmph
C.25 Kmph
D.27 Kmph
Answer: B.15 Kmph
Explanation: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
B
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.850
B.860
C.890
D.900
Answer: B.860
Explanation: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Option B
Question: If (1/5)^m * (1/4)^4 = 1/(16*(10)^4), then m =
A.3
B.2
C.1
D.4
Answer: D.4
Explanation: (1/5)^m (1/4)^4 = 1/{16(10)^4}
16(10)^4/4^4 = 5^m
[16(2^4)(5^4)]/[2^8] = 5^m
5^4 = 5^m
m=4
D
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
A.25kmph
B.30kmph
C.32kmph
D.40kmph
Answer: C.32kmph
Explanation: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 4x/(x/8)
= 32 kmph
Answer:C
Question: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?
A.X/8
B.X/7
C.X/6
D.X/5
Answer: B.X/7
Explanation: Since the total number of skeins is X, then X = Blue + Yellow + Red
Because there are twice as many Blue as Yellow, then Blue = 2*Yellow
Thus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red
Because there are twice as many Yellow as Red, then Yellow = 2*Red
Thus X = 3*(2*Red) + Red, which simplifies to X = 7*Red
Therefore Red = X/7
Answer: B
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.15 kmph
B.11 kmph
C.16 kmph
D.18 kmph
Answer: A.15 kmph
Explanation: Speed of the boat in still water = (50+80)/2 = 65 kmph. Speed of the stream = (80-50)/2 = 15 kmph.Answer: A
Question: The ratio, by volume, of bleach(B) to detergent(D) to water in a certain solution is 2 : 40 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
A.60
B.50
C.40
D.80
Answer: A.60
Explanation: B:D:W = 2:40:100
Bnew / Dnew = (1/3)*(2/40) = (1/60)
Dnew / Wnew = (1/2)*(40/100) = (1/5)
Wnew = 300
Dnew = Wnew/5 = 300/5 = 60
So, answer will be
A
Question: If m<0, which of the following represents a positive number?
A.-d|d|
B.d/ |d|
C.|d|d
D.|d|/d
Answer: A.-d|d|
Explanation: Answer : A
Question: Find the simple interest on $10000 at 7% per annum for 12 months?
A.$410
B.$500
C.$650
D.$700
Answer: D.$700
Explanation: P = $10000
R = 7%
T = 12/12 YEARS = 1 YEAR
S.I. = P*R*T/100 = 10000*7*1/100 = $700
Answer is D
Question: In how many ways can the letters D, G, G, I, T be arranged so that the two I's are not next to each other?
A.36
B.48
C.72
D.96
Answer: A.36
Explanation: 1 D
2 I
1 G
1 T
Number of ways these letters can be arranged = 5!/2! (2! to account 2 same Is) = 60
Consider 2 Is as 1 entity and thus the number of arrangements for (GG)DIT = 4! = 24
Total allowed cases = 60-24 =36
A is the correct answer.
Question: A positive integer x has 60 divisors and 7x has 80 divisors. What is the greatest integer y such that 7y7y divides n?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: Total number of factors of x = 60 = (p+1)*(q+1)*(r+1)... = 2^2 * 3 * 5
Now note that 7x has only one 7 more than x. The number of all other prime factors stays the same.
Total number of factors of 7x = 80 = (p+2)*(q+1)*(r+1)... = 2^4 * 5
Here, the 3 of previous expression has disappeared so it must have converted to 4. Does it make sense? Let's see:
Total number of factors of x = 60 = 2^2 * 3 * 5 = (3+1)*(2+1)*(4+1)
Total number of factors of 7x = 80 = 2^2 * 4 * 5 = (3+1)*(3+1)*(4+1)
The powers of other factors stay the same. Only the power of 7 increases by 1. So initially, in x, the power of 7 must have been 2. Hence the maximum value of y must be 2.
Answer (C)
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 10.If he got 230 marks in two subjects together how many marks did he got in English?
A.140,90
B.180,60
C.160,90
D.150,80
Answer: D.150,80
Explanation: Let Arunâ€™s marks in mathematics and English be x and y
Then (1/3)x-(1/2)y=10
2x-3y=60â€¦â€¦>(1)
x+y=230â€¦â€¦.>(2)
solving (1) and (2)
x=150
and y=80
Answer is D.
Question: The length of the ribbon was originally 55cm. It was reduced in the ratio 11 : 7. What is its length now?
A.6 cm
B.12 cm
C.35 cm
D.44 cm
Answer: C.35 cm
Explanation: Explanation :
Length of ribbon originally = 55 cm
Let the original length be 11x and reduced length be 7x.
But 11x = 55 cm
x = 55/11 cm = 5 cm
Therefore, reduced length = 7x cm
= 7 5 cm = 35 cm
Answer : C
Question: The C.P of 10 pens is equal to the S.P of 14 pens. Find his gain % or loss%?
A.loss 16 2/8%
B.loss 28.57%
C.loss 16 2/3%
D.loss 18 2/3%
Answer: B.loss 28.57%
Explanation: 10 CP = 14 SP
14 --- 4 CP loss
100 --- ? => 28.57% loss
Answer:B
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/1 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
A.45
B.65
C.98
D.107
Answer: D.107
Explanation: Rakesh : Rahul : Ranjan : Rohit = 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5
Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.
Step 2: Then pencil are distributed in ratio among friends,
Rakesh = ( 1 / 1 x 60 ) = 60.
Rahul = ( 1 / 3 x 60 ) = 20.
Ranjan = ( 1 / 4 x 60 ) = 15.
Rohit = ( 1 / 5 x 60 ) = 12.
Step 3: Total number of pencils are ( 60 x + 20 x + 15 x + 12 x) = 107 x.
For minimum number of pencils x = 1 .
The person should have at least 107 pencils.
D)
Question: If x and y are odd integers, which of the following must always be a non-integer
A.x^2 y
B.-x^2y
C.y/x
D.xy/4
Answer: D.xy/4
Explanation: as X and Y are odd, multiplication of x and y would result in odd integer
(Odd Integer)/4 will always be non integer.
D
Question: What is the compound interest paid on a sum of Rs.3500 for the period of 2 years at 10% per annum.
A.630
B.735
C.825
D.600
Answer: B.735
Explanation: Solution= Interest % for 1st year= 10
Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11
Total % of interest= 10 + 11=21
Total interest = 21 % 3500 = 3500* (21/100)= 735
Answer B
Question: After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 4860. What was the number of original inhabitants?
A.7000
B.7200
C.7400
D.7600
Answer: B.7200
Explanation: Let the total number of original inhabitants be x.
(75/100) * (90/100) * x = 4860
(27/40) * x = 4860
x = 4860 * 40 / 27 = 7200
The answer is B.
Question: Which of the following points is symmetric with y=x at (-2,-3)?
A.(-3,-2)
B.(-2,1)
C.(2,1)
D.(-1,-2)
Answer: A.(-3,-2)
Explanation: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(-2,-3) would become (-3,-2).
Answer (A).
Question: Find the odd man out. 12, 24, 34, 48, 64, 84
A.34
B.48
C.24
D.12
Answer: A.34
Explanation: All numbers except 34 are multiples of 4
Answer is A
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
A.20 m
B.22 m
C.32 m
D.40 m
Answer: A.20 m
Explanation: Distance covered by B in 9 sec. =(100/45 x 9) m = 20m
THEREFORE - A beats B by 20 metres.
ANSWER:A
Question: A man spends 1/3rd of his salary on food. he spends 1/4th on rent and 1/5th on cloths. If he is left with 1760, then who much salary does he earn.
A.8120
B.8123
C.8222
D.8322
Answer: B.8123
Explanation: let salary be x
total spent=( x/3 + x/4 +x/5 )= (47/60)*x
left = (x-47x/60)=(13/60)*x
given,(13/60)*x = 1760
x=(1760*60)/13=8123.077=8123(approax)
ANSWER:B
Question: A car gets 24 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
A.96
B.100
C.104
D.108
Answer: A.96
Explanation: Originally, the distance the car could go on a full tank was 12*24=288 miles.
After it has been modified, the car can go 24/0.75=32 miles per gallon.
On a full tank, the car can go 32*12= 384 miles, thus 96 miles more.
The answer is A.
Question: 62, 60, 55, 53, 48, 46, ?
A.15
B.23
C.41
D.25
Answer: C.41
Explanation: This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....
Answer : C.
Question: 240 is increased by 20%. Find the final number.
A.200
B.210
C.180
D.288
Answer: D.288
Explanation: ExplanationFinal number = Initial number + 20%(original number) = 240 + 20%(240) = 240 + 48 = 288.Answer D
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 250 more than the correct answer. Find the number.
A.125
B.280
C.384
D.480
Answer: D.480
Explanation: Explanation:
Let the number be x.
5*x/6 = 5*x/16 + 250
25*x/48 = 250
x = 480
ANSWER D
Question: The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is?
A.Rs. 17111 crore
B.Rs. 11121 crore
C.Rs. 11111 crore
D.Rs. 12111 crore
Answer: C.Rs. 11111 crore
Explanation: Explanation:
{M+A+S}{3}=11111
{S+M}{2}=11111 (\inline \because M - 11111 = 11111 - S)
Rightarrow A = 11111
Answer: C
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 50hr. If all pipes are opened simultaneously, then the cistern will be filled in
A.6.12 hr
B.8 hr
C.8.5 hr
D.10 hr
Answer: A.6.12 hr
Explanation: Solution:
Work done by all the tanks working together in 1 hour.
1/10+1/12−1/50=8/49
Hence, tank will be filled in 49/8=6.12 hour
Option(A)
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
A.125 miles
B.225 miles
C.325 miles
D.425 miles
Answer: C.325 miles
Explanation: During each hour, the car travels 65 miles. For 5 hours it will travel
65 + 65 + 65 + 65 + 65 = 5 × 65 = 325 miles
correct answer is C) 325 miles
Question: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages
A.14 years, 30 years
B.12 years, 28 years
C.16 years, 34 years
D.18 years, 38 years
Answer: A.14 years, 30 years
Explanation: Let Rahul’s age = x years
So, Madhan’s age = ( x + 16 )years
Also, 3(x - 6) = x + 16 - 6 or, x = 14
Rahul’s age = 14 years
And, Madhan’s age 14 + 16 = 30 years
ANSWER:A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
A.25 years
B.16 years
C.8 years
D.6 years
Answer: A.25 years
Explanation: Sol. Total age of 39 persons = (39 x 15) years
= 585 years.
Average age of 40 persons= 15 yrs 3 months
= 61/4 years.
Total age of 40 persons = (_(61/4 )x 40) years= 610 years.
:. Age of the teacher = (610 - 585) years=25 years
Ans: A
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 14 years older than Larry, how old is Annie?
A.7
B.12
C.19
D.26
Answer: A.7
Explanation: J = L+14
(1) 2(A+3) = L+3
(2) 3(A+5) = J+5 = L+19
Let's subtract equation (1) from equation (2)
A+9 = 16
A = 7
The answer is A.
Question: The ratio of boys to girls in Class A is 5 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
A.8
B.9
C.10
D.11
Answer: D.11
Explanation: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 11. ( D)
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
A.33
B.88
C.20
D.99
Answer: C.20
Explanation: 1/3 ---- 6
1 -------? A = 18
R = 1/18 * 60/100 = 1/30
1 ----- 1/30
2/3 ----? => 20 days
Answer:C
Question: (128.5 x 60) + (13.8 x 65) = ? x 25
A.524.48
B.344.28
C.574.36
D.585.64
Answer: B.344.28
Explanation: Explanation :
? = (128.5 x 60) + (13.8 x 65)/25
= 7710 + 897/25 = 344.28
Answer : Option B
Question: A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?
A.7 days
B.9 days
C.6 days
D.3 days
Answer: D.3 days
Explanation: Explanation:
More no of people: Less days (Inverse Relationship)
More work: More days (Direct Relationship)
Ratio is given:
Persons: 1 :: 2
Work 1 :: 1/2
Time 12 :: x
Solution of this can be explained by solving this ratio by the sort of relationships they possess with time.
1*1/2*12 = 2*1*x
=> x = 3 days
ANSWER: D
Question: What is the value of 1 *1! +2 *2!+3 *3! + .............. n *n!
where n! means n factorial or n(n-1)(n-2) ............1.
A.n *(n−1) *(n−1)!
B.[(n+1)!/{n*(n−1)}]
C.(n+1)! −n!
D.(n+1)! −1!
Answer: D.(n+1)! −1!
Explanation: Solution:
1*1! =(2-1)81! =2 *1! -1*1!= 2!-1!
2*2!=(3-1)*2!=3*2!-2!=3!-2!
3*3!=(4-1)*3! =4*3!-3! = 4!-3!
..
..
..
n*n!=(n+1-1)*n! =(n+1)(n!)-n!=(n+1)!-n!
Summing up all these terms, we get (n+1)! - 1!
Answer D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
A.387
B.200
C.289
D.128
Answer: B.200
Explanation: Explanation:
The number of ways to select two men and three women = 5C2 * 6C3
= (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 200
Answer: B
Question: How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 2 m x 3 m x 2 cm?
A.5600
B.6000
C.73
D.7200
Answer: C.73
Explanation: Number of bricks =Volume of the wall/Volume of 1 brick =	(200 x 300 x 2)/(25 x 11 x 6) = 72.7=73.
Answer: Option C
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
A.19
B.28
C.30
D.35
Answer: D.35
Explanation: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
50 floors/150 floors per minute=1/3 minutes
11+72/3=35
61-78/3=35
Answer : D
Question: A dealer originally bought 300 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
A.q/200
B.3q/2
C.450q
D.q/300
Answer: A.q/200
Explanation: The cost of each battery was q/300.
Each battery was sold for 1.5q/300 = 3q/600 = q/200.
The answer is A.
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
A.27
B.29
C.30
D.34
Answer: A.27
Explanation: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
A
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
A.16
B.18
C.32
D.19
Answer: C.32
Explanation: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 4x/(x/8) = 32 kmph
Answer: C
Question: A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A.1:2
B.1:5
C.1:4
D.2:3
Answer: D.2:3
Explanation: T = 288/32 = 9 h
T = 9 - 3 = 6
Time Ratio = 9:6 = 3:2
Speed Ratio = 2:3
Answer: D
Question: John bought 2 shares and sold them for $78 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
A.a profit of $10
B.a profit of $6.5
C.a loss of $6.5
D.a loss of $10
Answer: C.a loss of $6.5
Explanation: Loss% = (%age Profit or loss / 10)^2 = (20/10)^2 = 4% loss
Total Selling Price = 78*2 = $156
Total Cost Price = 156/(0.96) = $162.5
Loss = 162.5 - 156 = $6.5
Answer: Option C
Question: If |x + 3| = 15, what is the sum of all the possible values of x?
A.-16
B.-12
C.-8
D.-3
Answer: D.-3
Explanation: There will be two cases
x+3 = 15 or x+3 = -15
=> x = 12 or x= -18
sum of both the values will be -18 + 15 = -3
Answer: D
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
A.90 sec
B.28 sec
C.78 sec
D.87 sec
Answer: A.90 sec
Explanation: Let the length of each train be x m.
(x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5)
= 90 sec.
Answer:A
Question: If December 3rd, 1999 is a Friday, what day is January 8th, 2000?
A.Wednesday
B.Thursday
C.Friday
D.Saturday
Answer: D.Saturday
Explanation: There is difference of 36 days from Dec. 3rd 1999 to Jan. 8th 2000.
36/7 has a remainder of 1.
Jan. 8th is: Friday + 1 day = Saturday
The answer is D.
Question: If the number of fatalities from road accidents declined from 9,680 in 1988 to 9,600 in 1989 and then declined a further 20% from 1989 to 1990, what was the approximate percentage decline in the number of fatalities from 1988 to 1990?
A.12
B.16
C.21
D.37
Answer: C.21
Explanation: We have decline from 9,680 to 9,600 (by 80 points) and then by 20%. Now, since 80 is less than 1% of 9,680, thus the overall decline would be slightly more than 20%. Only answer choice C fits.
Answer: C.