RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
A.10 am
B.12 noon
C.10.30 am
D.12.30 am
Answer: B.12 noon
Explanation: Assume both trains meet after x hours after 7 am
Distance covered by train starting from P in x hours = 20x km
Distance covered by train starting from Q in (x-1) hours = 25(x-1)
Total distance = 200
=> 20x + 25(x-1) = 200
=> 45x = 225
=> x= 5
Means, they meet after 5 hours after 7 am, ie, they meet at 12 noon
Answer is B.
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 55 paise per sq m is
A.Rs. 209.20
B.Rs. 309.20
C.Rs. 409.20
D.Rs. 509.20
Answer: C.Rs. 409.20
Explanation: Explanation:
Area to be plastered = [2(l + b) Ã— h] + (l Ã— b)
= [2(25 + 12) Ã— 6] + (25 Ã— 12) = 744 sq m
Cost of plastering = 744 Ã— (55/100) = Rs. 409.20 Answer: C
Question: Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 15 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?
A.30
B.36
C.40
D.45
Answer: B.36
Explanation: Each hour they complete 1/3 + 1/15 = 2/5 of the job.
In 2 hours, they complete 2(2/5) = 4/5 of the job.
The time for P to finish is (1/5) / (1/3) = (3/5) hour = 36 minutes
The answer is B.
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
A.2205
B.2229
C.2205
D.2984
Answer: A.2205
Explanation: A = 2000(21/20)2
= 2205
Answer:A
Question: Find the least number of five digits which is exactly divisible by 12 and 18?
A.A)1080
B.B)10080
C.C)10025
D.D)11080
Answer: B.B)10080
Explanation: The smallest five digit numbers are
10025,10080,11080
10025 is not divisible by 12
10080 is divisible by both 12 and 18
ANSWER:B
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,140, then what is B's share in the profit?
A.Rs. 2000
B.Rs. 3100
C.Rs. 4100
D.Rs. 5200
Answer: C.Rs. 4100
Explanation: Explanation :
Ratio of the initial investment = 7/2 : 4/3 : 6/5
= 105 : 40 : 36
From this ratio, we can assume that actual initial investments of A, B and C
are 105x, 40x and 36x respectively
A increases his share 50% after 4 months. Hence the ratio of their investments =
(105x * 4) + (105x * 150/100 * 8) : 40x * 12 : 36x : 12
= 105 + (105 * 3/2 * 2) : 40*3 : 36 * 3
= 105 * 4 : 40 *3 : 36 * 3
= 35 * 4 : 40 : 36
= 35 : 10 : 9
B's share = total profit * (10/54) = 22,140 * 10/54 = 4100. Answer : Option C
Question: Which number, when found in the denominator of any given fraction, gives a terminating decimal?
A.75
B.80
C.85
D.90
Answer: B.80
Explanation: 75 = 3 * 5 * 5; 80 = 2^4 * 5; 85 = 5 * 17; 90 = 2 * 3^2 * 5; 95 = 5 * 19.
Only Option B has 2 and 5 as factors, hence terminating.
Option B.
Question: an article with cost price of 180 is sold at 15% profit. what is the selling price?
A.198
B.200
C.204
D.207
Answer: D.207
Explanation: sp=1.15*180=207
ANSWER:D
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 120kmph. When will Raghu overtake Anup?
A.8:00am
B.9:40am
C.10:00am
D.12:00pm
Answer: A.8:00am
Explanation: Suppose bike is overtaken by car xhrs after 6am
Distance covered by the bike in x hrs = distance covered by the car in x-1 hr
60x = 120(x-1)
60x = 120
x = 2 hrs
Required time = 6+2 = 8:00am
Answer is A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81:121
B.81:131
C.81:145
D.81:167
Answer: A.81:121
Explanation: Ratio of the sides
= ³√729 : ³√1331 = 9 : 11
Ratio of surface areas
= 92 : 112 = 81:121
Answer:A
Question: The sum of three consecutive multiples of 3 is 99. What is the largest number?
A.36
B.33
C.30
D.27
Answer: A.36
Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.
Then,
3x + (3x + 3) + (3x + 6) = 99
9x = 90
x = 10
Largest number = 3x + 6 = 36
Answer : A
Question: Find the average of the series : 4555,250,355,450,150
A.129
B.1152
C.267
D.207
Answer: B.1152
Explanation: Average = (4555+250+355+450+150)/5
= 5760/5
= 1152
Answer: B
Question: If x is a positive integer, then the least value of x for which x! is divisible by 1,000,0000 is?
Can someone please explain intuitively what the question is asking?
A.5
B.9
C.25
D.15
Answer: C.25
Explanation: In order x! to be divisible by 1,000, it should have at least 3 trailing zeros. A trailing 0 in factorial of a number is produced by 2 and 5 in it: 2*5 = 10. So, we need 10 to be in x! at least in power of 3.
5! = 120 has 1 trailing zeros.
10! will have 2 trailing zeros.
15! will have 3 trailing zeros.
20! will have 5 trailing zeros.
25! will have 7 trailing zeros. C
Question: population is 20000. Pop increases by 10% every year, then the pop after 3 years is?
A.26630
B.26640
C.36620
D.26620
Answer: D.26620
Explanation: population after 1st year = 20000*10/100 = 2000 ===> 20000+2000 = 22000
population after 2nd year = 22000*10/100 = 2200 ===> 22000+2200 = 24200
population after 3rd year = 24200*10/100 = 2420 ===> 24200+2420 = 26620
ANSWER:D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.288
B.66
C.245
D.77
Answer: C.245
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.Answer: C
Question: The value of (4 3) + 2 is
A.33
B.10
C.14
D.24
Answer: C.14
Explanation: Evaluating, (4 3) + 2 = 12 + 2 = 14.
correct answer C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150
B.878
C.277
D.992
Answer: A.150
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: A train ,125 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
A.250 m
B.245 m
C.235 m
D.220 m
Answer: A.250 m
Explanation: Explanation:
Assume the length of the bridge = x meter
Total distance covered = 125+x meter
total time taken = 30s
speed = Total distance covered /total time taken = (125+x)/30 m/s
=> 45 Ã— (10/36) = (125+x)/30
=> 45 Ã— 10 Ã— 30 /36 = 125+x
=> 45 Ã— 10 Ã— 10 / 12 = 125+x
=> 15 Ã— 10 Ã— 10 / 4 = 125+x
=> 15 Ã— 25 = 125+x = 375
=> x = 375-125 =250
Answer: Option A
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then B's share is (in Rs.)
A.10000
B.6250
C.5000
D.7500
Answer: B.6250
Explanation: 18000:22500:27000
4:5:6
B's share=18750*5/15=6250
ANSWER:B
Question: If the probability that the Chicago Bears win the Super Bowl is 1/20 and the probability that the Chicago Cubs win the World Series is 1/7, what is the probability that either the Bears win the Super Bowl or the Cub win the World Series (but not both)?
A.2/7
B.3/16
C.4/25
D.5/28
Answer: D.5/28
Explanation: 19/20*1/7 + 1/20*6/7 = 25/140 = 5/28
The answer is D.
Question: The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $52.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
A.20.8
B.24.6
C.31.8
D.32.5
Answer: B.24.6
Explanation: $69-$52=17$
(17/69)*100=24.6%
ANSWER:B
Question: What day of the week was 1 January 1701
A.Tuesday
B.Monday
C.Friday
D.Saturday
Answer: D.Saturday
Explanation: Explanation:
1 Jan 1701 = (1700 years + 1st Jan 1701)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400)
Number of odd days in the period 1601-1700
= Number of odd days in 100 years
= 5
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
1st Jan 1701 = 1 odd day
Total number of odd days = (0 + 5 + 1) = 6
6 odd days = Saturday
Hence 1 January 1701 is Saturday.
Answer: Option D
Question: An American cafeteria offers 3 flavors of pizza - chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
A.4
B.8
C.12
D.9
Answer: D.9
Explanation: 3 flavours * 3 choices = 3C1*3C1 = 3*3=9=D
Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
A.{2, 10}
B.{16, 16}
C.{10, 18}
D.{9, 11}
Answer: D.{9, 11}
Explanation: answer B,C, and E mean is not 10 therefore not accepted . D mean is 10 but S.D is one unit. therefore accepted
answer is D mean is 10 and S.D decreases minimum.
D
Question: A semicircle has a radius of 14. What is the approximate perimeter of the semicircle?
A.72
B.76
C.80
D.84
Answer: A.72
Explanation: The perimeter of a circle is 2*pi*r.
The perimeter of a semicircle is 2*pi*r/2 + 2r = pi*r + 2r
The perimeter is pi*14 + 2*14 which is about 72.
The answer is A.
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
A.13
B.65
C.30
D.88
Answer: C.30
Explanation: 3W = 2M
15M ------ 21 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
15 * 21 * 8 = 14 * x * 6
x = 30. Answer: C
Question: If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N?
A.181
B.165
C.121
D.99
Answer: A.181
Explanation: M=10x+y
N=10y+x
M+N=11x+11y=11(x+y)
In other words the answer is a multiple of 11.
Now the question becomes " which of the following is NOT a multiple of 11?"
Answer -181
ANSWER:A
Question: How many terms are there in 2,4,8,16……1024?
A.10
B.12
C.14
D.16
Answer: A.10
Explanation: Clearly 2,4,8,16……..1024 form a GP. With a=2 and r = 4/2 =2.
Let the number of terms be n . Then
2 x 2^n-1 =1024 or 2^n-1=512 = 2^9.
n-1=9 or n=10
Answer is A.
Question: Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%?
A.20000
B.40000
C.50000
D.60000
Answer: A.20000
Explanation: let first parrt is x and second part is y then x+y=50000----------eq1
total profit=profit on x +profit on y
8000=(x*10*1)/100 + (y*20*1)/100
80000=x+2y-----------------------------------eq2
80000=50000+y
so y=30000 then x =50000-30000=20000
first part =20000
ANSWER:A
Question: Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 6?
A.1/3
B.2/3
C.1/5
D.2/5
Answer: A.1/3
Explanation: There are 6 ways to get a total sum of 9.
2 of these ways include the number 6.
The probability that one of the cards is a 6 is 2/6 = 1/3
The answer is A.
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 5 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
A.(a) 60/11
B.(b) 5
C.(c) 26/5
D.(d) 27/5
Answer: A.(a) 60/11
Explanation: from the uphill we can find out the distance = 5*2 = 10
average speed = total distance/total time
= 20/ (2+ (10/6)) = 60/11
Answer is A.
Question: the perimeter of an equilateral triangle is 45.if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle.
A.10 units
B.20 units
C.30 units
D.40 units
Answer: A.10 units
Explanation: base of isoceles triangle is 40-15-15= 10 units.
ANSWER:A
Question: What annual payment will discharge a debt of Rs. 1090 due in 2 years at the rate of 5% compound interest?
A.993.2
B.586.21
C.534.33
D.543.33
Answer: B.586.21
Explanation: Explanation:
Let each installment be Rs. x. Then,
x/(1 + 5/100) + x/(1 + 5/100)2 = 1090
820x + 1090 * 441
x = 586.21
So, value of each installment = Rs. 586.21
Answer: Option B
Question: The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 10, which of the following represents the maximum possible value of the largest integer?
A.4
B.6
C.20
D.10
Answer: C.20
Explanation: Let the distinct number be A,B,C, and D
Its given A > B > C > D
also A + B + C + D =40 and A + B = 10 means C + D = 30
Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 20. If D=20 then C = 10 > A,B <10
Answer : C
Question: A man can row with a speed of 23 kmph in still water. If the stream flows at 9 kmph, then the speed in downstream is?
A.32
B.26
C.20
D.87
Answer: A.32
Explanation: M = 23
S = 9
DS = 23 + 9
=32
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A.7/11
B.6/7
C.1/5
D.2/7
Answer: C.1/5
Explanation: Explanation :
Let, the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water then quantity of water in new mixture
=>3−(3x/8)+x litres.
Quantity of syrup in new mixture =5−5x/8 litres.
Therefore,
=>3−(3x/8)+x=5−5x/8.
=>5x+24=40−5x.
=>x=8/5.
So part of the mixture replaced,
=>(8/5)×(1/8)=1/5.
Answer : C
Question: Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 80 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?
A.40
B.50
C.150
D.80
Answer: C.150
Explanation: L+M=M+N-80 / N=2L+10
80=M+N-L-M
80=N-L
80=2L+10-L
70=L
2(70)+10=150
C
Question: The average of seven numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
A.25
B.27
C.30
D.39
Answer: D.39
Explanation: Sol.
Therefore excluded number
= (27 × 7) - ( 25 × 6)
= 189 – 150
= 39.
Answer D
Question: In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,-5) and (t,-7). What is the least possible value of the slope of line L?
A.6
B.-1
C.-2
D.-6
Answer: B.-1
Explanation: We need to find out the value of p and L to get to the slope.
Line L and Graph y intersect at point (p,-5). hence, x= p and Y=-5 should sactisfy the graph. soliving
5 = -p2 +9
p2 = 4
p = + or - 2
simillarly point (t,-7) should satisfy the equation. hence x=t and Y=-7.
-7 = -t2+9
t = +or - 4
considering p = -2 and t =4, the least slope is (-7+5)/(4-2) = -1
IMO option B is correct answer.
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $30. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
A.30xy
B.270/(xy)
C.xy/9
D.xy/30
Answer: B.270/(xy)
Explanation: xy sq ft = $30
1 sq ft = $30/xy
multiplying by 9 on both side
9 sq ft = $270/xy
or 1 sq yard = $270/xy
Hence B.
Question: The roots of the equation 3x2 - 12x + 10 = 0 are?
A.rational and unequal
B.complex
C.real and equal
D.irrational and unequal
Answer: D.irrational and unequal
Explanation: Explanation:
The discriminant of the quadratic equation is (-12)2 - 4(3)(10) i.e., 24. As this is positive but not a perfect square, the roots are irrational and unequal.
ANSWER IS D
Question: A father is four times as old as his son. In twenty years, he'll be twice as old. How old are they now?
A.5,40
B.10,40
C.20,40
D.10,30
Answer: B.10,40
Explanation: If F is age of father and s is age of son
f=4s
f+20 = 2*(s+20)
4s+20 = 2s+40
2s=20
s=10
F=40
ANSWER:B
Question: The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A.48.55
B.42.25
C.50
D.51.25
Answer: A.48.55
Explanation: Explanation:
Average weight of 16 boys = 50.25
Total weight of 16 boys = 50.25 × 16
Average weight of remaining 8 boys = 45.15
Total weight of remaining 8 boys = 45.15 × 8
Total weight of all boys in the class = (50.25 × 16)+ (45.15 × 8)
Total boys = 16 + 8 = 24
Average weight of all the boys = (50.25×16)+(45.15×8)/24
=(50.25×2)+(45.15×1)/3
=(16.75×2)+15.05
=33.5+15.05
=48.55
Answer: Option A
Question: The sum of the mean, the median, and the range of the set {5,7,9} equals which one of the following values?
A.11
B.17
C.14
D.12
Answer: B.17
Explanation: Here Mean => 5+7+9/3 => 6
median => 7
and range => 9-5 => 4
hence sum => 6+7+4=> 17
Answer: B
Question: If x is divisible by 4 and 6, which of the following must divide evenly into x?
I. 2
II. 35
III. 70
A.I only
B.I and II
C.II​ and III
D.II​ only
Answer: A.I only
Explanation: If x is divisible by 4,6 means it will be = or > 12, 24,48 etc...
That are not divisible by 35, 70.
So, the answer is A
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (9,3), which of the following coordinates would most likely be A's?
A.(17, -2)
B.(10, 6)
C.(6, 8)
D.(-10, 3)
Answer: B.(10, 6)
Explanation: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 9.
B rules..
Question: 2y - x = 2xy . If x and y are integers, which of the following could equal y?
A.2
B.1
C.0
D.3
Answer: C.0
Explanation: Plug in the answer choices in the equation from the question stem.
A) y = 2 >>> 4-x = 4x >>> No value of x will satisfy this, not even 0. POE
B) y = 1 >>> 2 - x = 2x >>> Same, POE
C) y = 0 >>> -x = 0 >>> x This is the answer
Answer C
Question: A began business with 12500 and is joined afterwards by B with 37500. When did B join, if the profits at the end of the year are divided equally?
A.8 months
B.9 months
C.10 months
D.7 months
Answer: A.8 months
Explanation: Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.
∴ Profit ratio is 12 × 12500 : (12 – x) × 37500
or 12 : 3(12 – x)
Since profit is equally divided so
12 = 3(12 – x) or x = 8. Thus B joined after 8 months.
Answer A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.km
B.km
C.km
D.km
Answer: B.km
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444
Answer :B
Question: By selling 100 pencil, a trader gains the cost of 40 Pencil. Find his gain percentage?
A.26 1/3%
B.51 1/3%
C.40%
D.53 1/3%
Answer: C.40%
Explanation: C
40%
Let the CP of each pencil be Rs. 1.
CP of 100 pens = Rs. 100
Profit = Cost of 40 pencil = Rs. 40
Profit% = 40/100 * 100 = 40%
Question: at three different signals,light change after 48 sec,72 sec,108 sec respectively.if at morning 8:20:00 change together,then at what time again they will change together?
A.8:27:12
B.8:27:24
C.8:27:36
D.8:27:48
Answer: A.8:27:12
Explanation: l.c.m of 48,72,108=7min.12sec
again they will change at=8:27:12
answer A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what Ɵme will it pass a bridge of 140
meter length.
A.20 seconds
B.30 seconds
C.40 seconds
D.50 seconds
Answer: C.40 seconds
Explanation: Explanation:
Speed = 45 Km/hr = 45*(5/18) m/sec
= 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
=500
∗
225=40seconds
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.468
B.444
C.676
D.767
Answer: A.468
Explanation: 1h ----- 3
? ------ 60
12 h
RS = 18 + 21 = 39
T = 12
D = 39 * 12 =468
Answer: A
Question: A boy pays Rs. 369 for an article marked at Rs. 600, by enjoying two successive discounts. If the first discount is of 25%, how much should be the second discount?
A.18
B.99
C.27
D.26
Answer: A.18
Explanation: Explanation:
First discount = 25% of 600 = Rs. 150.
Thus, the reduced price = 600 – 150 = Rs. 450.
Since the person actually paid Rs. 369, the value of the second discount must be equal to Rs. 81 (450 – 369).
Let the second discount be x
Thus, we get, 81 = x of 450
( 81/450)*100 = 18%
ANSWER: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
A.20%
B.25%
C.30%
D.15%
Answer: B.25%
Explanation: 800 --- 200
100 --- ? => 25%
ANSWER:B
Question: If x, y, and d are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=d and if x is less than y, which of the following could be the value of d?
A.10
B.12
C.15
D.18
Answer: D.18
Explanation: Answer choice C: d= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: d=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D.
Question: An athlete runs 200 meters race in 36sec. His speed is?
A.20km/hr
B.15km/hr
C.30km/hr
D.25km/hr
Answer: A.20km/hr
Explanation: speed = 200/36 = 50/9 m/sec
= 50/9 * 18/5 km/hr = 20km/hr
Answer is A
Question: The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 90 meters?
A.12
B.16
C.17
D.18
Answer: D.18
Explanation: The speed of the boat downstream = 15 + 3 = 18 km/hr
18 km/hr * 5/18 = 5 m/s
The time taken to cover 90 meters = 90/5 = 18 seconds.
The answer is D.
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A.4:5
B.3:5
C.6:8
D.3:5
Answer: A.4:5
Explanation: third number be x.
first no = 120% of x = 6x/5
second no = 150% of x = 3x/2
ratio in first two nos = (6x/5:3x/2)=> 4:5
ANSWER A
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A.14 days
B.5 days
C.8 days
D.4 days
Answer: D.4 days
Explanation: WC = 3:1
WT = 1:3
x 3x
1/x – 1/3x = 1/8
x = 16/3
3/16 + 1/16 = 1/4 => 4 days
ANSWER:D
Question: A train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
A.100
B.150
C.160
D.225
Answer: D.225
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: Option D
Question: A shopkeeper purchased 80 kg of potatoes for Rs. 550 and sold the whole lot at the rate of Rs. 9 per kg. What will be his gain percent?
A.22.6 %
B.30.9 %
C.35.6 %
D.39.5%
Answer: B.30.9 %
Explanation: C.P. of 1 kg = 550/80 = Rs. 6.875S.P. of 1 kg = Rs. 9Gain % = 2.125/6.875 * 100 = 212.5/6.875 = 30.9 %Answer: B
Question: We are given the positive numbers a,b,c, which form an arithmetic progresion in the given order. We know that a+b+c=9. The numbers a+1,b+1,c+3 form a geometric progression in the given order. Find c.
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: Solution:
Since a,b,c form an arithmetic progression, c=b+d=a+2d and a+b+c=a+a+d+a+2d=3a+3d=9, so a+d=b=3 and a+c=6=>c=6−a. Since a+1,b+1,c+3 form a geometric progression, we have (b+1)2=(a+1)(c+3), or 16=(a+1)(6−a+3)=(a+1)(9−a)
16=9a+9−a2−a
a2−8a+7=0, therefore a=7 or a=1. But if a=7, c=6−a=6−7=−1<0 and by definition c is positive, so a=7 is not a solution. Therefore a=1 and c=6−a=6−1=5.
Answer A