RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ?
A.2.5 hours
B.2 hours
C.3.5 hours
D.3 hours
Answer: D.3 hours
Explanation: Explanation:
Part filled by A in 1 hour = 1/5
Part filled by B in 1 hour = 1/10
Part filled by C in 1 hour = 1/30
Part filled by (A+B+C) in 1 hour =1/5 +1/10 +1/30
=1/3
So all pipes will fill the tank in 3 hours.
Answer is D
Question: A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly M new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
A. 5^1/12
B. 3^11 * 5^11
C. 3^12 * 5^12
D. 3^11 * 5^12
Answer: D. 3^11 * 5^12
Explanation: At the end of the first week, there are 5 new members;
At the end of the second week, there are 5M new members (since each 5 new members from the previous week brings M new members);
At the end of the third week, there are 5M^2 new members (since each 5M new members from the previous week brings M new members);
...
At the end of the twelfth week, there are 5M^11 new members (since each 5M^10 new members from the previous week brings M new members).
We are given that 5M^11=y. Out of the answers only D yields integer value for M: 5M^11=3^11 * 5^12 --> M=3*5=15.
Answer: D.
Question: The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?
A.15
B.16
C.21
D.12
Answer: B.16
Explanation: Present age of total members = 6 X 24 = 144
8 yrs back their ages were = 6 x 8 = 48
Ages at the birth of youngest member = 144 - 48 = 96
Therefore, avg age at the birth of youngest member = 96/6 = 16.
ANSWER:B
Question: If log 0.318=0.3364 and log 0.317=0.33320 then log 0.319 =?
A.0.33365
B.0.3368
C.0.3396
D.0.3369
Answer: C.0.3396
Explanation: log 0.318 / log 0.317 = log (0.318 - 0.317) = log 0.001 = 0.3364 / 0.33320 = 1.0096
now,
log 0.318 * log 0.001 = log (0.318 + 0.001) = log 0.319 = 0.3364 * 1.0096 = 0.3396
so option c
ANSWER:C
Question: The length of a rectangular floor is more than its breadth by 100%. If Rs. 600 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
A.15.0m.
B.14.4m.
C.12.0m.
D.16.2m.
Answer: B.14.4m.
Explanation: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 100% of b = l + 1b = 2b
Area of the floor = 600/3 = 200 sq m
l b = 200i.e., l * l/2 = 108
l2 = 216 => l = 14.4m.
ANSWER:B
Question: A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
A.4.14 kmph
B.5.10 kmph
C.4.50 kmph
D.4.4 kmph
Answer: A.4.14 kmph
Explanation: A speed = (5*5/18) = 25/18
time taken by A to cover 100 m = (100*18/25) = 72
time taken by B to cover 92 m = (72+8) = 80 sec
B's speed = (92/80 * 18/5) = 4.14
ANSWER A
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 588 sq meters, then what is the width (in meters) of the rectangular plot?
A.14
B.16
C.18
D.20
Answer: A.14
Explanation: Area = L*W = 3W^2 = 588
W^2 = 196
W = 14
The answer is A.
Question: When Alice entered the Forest of Forgetfulness, she forgot the day of
the week. She met the Lion and the Unicorn resting under a tree. The
Lion lies on Mondays, Tuesdays and Wednesdays and tells the truth
on the other days of the week. The Unicorn, on the other hand, lies
on Thursdays, Fridays, and Saturdays, but tells the truth on the other
days of the week. They made the following statements:
Lion: \Yesterday was one of my lying days."
Unicorn: \Yesterday was one of my lying days."
From these two statements, Alice was able to deduce the day of the
week. What day was it?
A.Monday
B.Wednesday
C.Thursday
D.Friday
Answer: C.Thursday
Explanation: If the Lion is telling the truth, the day of the week must be Thursday. If he
is lying, then the day of the week must be Monday. So the day of the week must be
either Thursday or Monday. If the Unicorn is telling the truth, the day of the week must
be Sunday. If he is lying, then the day of the week must be Thursday. The day of the
week cannot be Sunday (since we have already said that it must be Thursday or Monday).
Therefore, it must be Thursday
correct answer C
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine Q is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine Q can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
A.14
B.13
C.11
D.9
Answer: D.9
Explanation: machine Q finish the job in 2*12 shifts = 24 shifts
machine B finish the job in 2*15 shifts = 30 shifts
Lets assume total work require 120 shifts
Therefore,
rate of Q = 5 shifts/day
rate of B = 4 shifts/day
rate of (Q+B) = 9 shifts/day
According to current schedule work complete in a day = 5+4+(9/2) =13.5 shifts/day
Therefore, Time required to finish 120 shifts = (120/13.5) = 8.88.. days ~ 9 days=D
Question: A circular metal plate of even thickness has 12 holes of radius 1 cm drilled into it. As a result the plate lost 1/6th its original weight. The radius of the circular plate is
A.16sqrt2
B.8sqrt2
C.32sqrt2
D.sqrt72
Answer: D.sqrt72
Explanation: Area of 12 holes=12*Pi*1^2=12*Pi
As 12*Pi=(1/6)th weight,so total Area of Plate=12*Pi/(1/6)=72*Pi
If r=radius of the plate,then its Area=Pi*r^2=72*Pi, So r=Sqrt72
ANSWER:D
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.2328
B.2798
C.5460
D.2799
Answer: C.5460
Explanation: 5000 * 104/100 * 105/100 => 5460.Answer: C
Question: By selling 100 pens, a trader gains the cost of 30 pens. Find his gain percentage?
A.30%
B.33%
C.31%
D.32%
Answer: A.30%
Explanation: Let the CP of each pen be Rs. 1.
CP of 100 pens = Rs. 100
Profit = Cost of 30 pens
= Rs. 30
Profit% = 30/100* 100
= 30%
Answer: A
Question: How many integers are between 7 and 57/4, inclusive?
A.4
B.5
C.7
D.8
Answer: D.8
Explanation: 57/4 = 14.xx
We are not concerned about the exact value of 57/4 as we just need the integers.
Since the values are small, we can write down the integers.
The different integers between 7 and 57/4 would be 7, 8, 9, 10, 11, 12,13,14
Total number of integers = 8
Option D
Question: If the sum of 6 consecutive integers is y, which of the following must be true?
I. y is an even number
II. y is an odd number
III. y is a multiple of 6
A. I only
B. II only
C. III and I only
D. I onlyII
Answer: D. I onlyII
Explanation: I. If you start off with an even number, the sum (y) is even, and if you start off with an odd number the sum (y) is odd. Therefore this is not always true.
II. Same as above. This need not be always true.
III. Say, the first number is p. Then the sum of the five numbers = p + (p+1) + (p+2)...... + (p+4)
= 6p + 12 = 6 (p+2) => divisible by 6. There this must be true in all cases.
Therefore D is the answer.
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 126 km/hr, what is the length of the platform?
A.338
B.240
C.560
D.267
Answer: C.560
Explanation: Speed = (126 * 5/18) m/sec = 35 m/sec. Length of the train = (35 x 20)m = 700 m. Let the length of the platform be x meters. Then, (x + 700)/36 = 35 ==> x + 700 = 1260 ==>
x = 560 m.
Answer: C
Question: If f(x) = 12 - x^2/2 and f(2k) = 6k, what is one possible value for k?
A.2
B.3
C.4
D.6
Answer: D.6
Explanation: First of all, see thisGMAT blog postand check the related lesson linked below for some background on function notation.
We can plug anything in for x and get a result. You can find f(1), for example, by plugging in 1 where x is, and you would get 12 - 1/2 = 11.5. Or we could find f(2), which would be 12 - 4/2 = 10.
So the notation f(2k) means that we are going to plug a 2k in for x everywhere in the formula for f(x). That would be:
f(2k) = 12 - (2k)^2/2 = 12 - 2k^2.
Remember that we have to square both the 2 and the k, to get 4k2. Now, this expression, the output, we will set equal to 2k.
12 - 2k^2 = 2k --> k = -3 or k = 6.
All the answers are positive, so we choose k = 2.
Answer = D
Question: Two sides of triangle are ln(50) and ln(8), third side is ln(n). Find out the number of possible values of n?
A.392
B.398
C.393
D.395
Answer: C.393
Explanation: Explanation :
Sum of two sides of a triange is always greater than the third side
case 1:
So, ln(50) + ln(8) > ln(n)
=> ln(50x8) > ln(n) ( ∵ log (a) + log(b) = log(ab) )
=> 400 > n
i.e. n < 400
logax is defined for x > 0. So, n will be greater than 0
So, 0 < n < 400
case 2:
So, ln(50) + ln(n) > ln(8)
=> ln(50n) > ln(8) ( ∵ log (a) + log(b) = log(ab) )
=> 50n > 8
i.e. n > 4/25
case 3:
So, ln(8) + ln(n) > ln(50)
=> ln(8n) > ln(50) ( ∵ log (a) + log(b) = log(ab) )
=> 8n > 50
i.e. n > 25/4
Combining results from case 1, case 2 and case 3 we get:
25/4 < n < 400
So, range of integral values of n satisfying the above condition is: 7 ≦ n ≦ 400
Hence no of integral values of n are: 393
Answer : C
Question: If two different numbers are randomly selected from set { 1, 2, 3, 4, 5} what is the probability that the sum of the two numbers is greater than 4?
A.2/5
B.3/5
C.4/5
D.6/5
Answer: C.4/5
Explanation: First problem is 5C2 = 10 .. Not 20..
Point 2, you sum should be greater than 4, so these are the following possibilities you have
({1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5}) which leads to 8 pairs
So the probability is 8 on 10 or 4/5..
ANSWER:C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A.143600 m
B.144600 m
C.153600 m
D.162600 m
Answer: C.153600 m
Explanation: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Question: If Jane takes 12 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
A.xy/12
B.12x/(60y)
C.60xy/12
D.xy/720
Answer: B.12x/(60y)
Explanation: The answer is B.
She runs x yards in 12x/y seconds =12x/60y minutes.
Question: The cash realised on selling a 14% stock is Rs.101.25, brokerage being 1/4% is
A.123
B.106
C.100
D.101
Answer: D.101
Explanation: Explanation:
Cash realised= Rs. (101.25 - 0.25)
= Rs. 101.
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.126
B.217
C.150
D.277
Answer: D.277
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m. Answer:D
Question: A can have a piece of work done in 15 days, B can work three times faster than the A, C can work two times faster than A. How many days will they take to do the work together ?
A.3 days
B.8/9 days
C.10/3 days
D.can't say
Answer: C.10/3 days
Explanation: A's 1 day work is 1/20
B's 1 day work is 3/20
C's 1 day work is 2/20
(A+B+C)'s 1 day work(1/20+3/20+2/20) is 3/10
so, they can finish the work in 10/3 days
ANSWER:C
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
A.887
B.267
C.342
D.276
Answer: C.342
Explanation: 400*(90/100)*(95/100)
= 342
Answer: C
Question: The average weight of A, B and C is 46 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
A.28 kg
B.32 kg
C.33 kg
D.34 kg
Answer: A.28 kg
Explanation: Explanation:
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (46 x 3) = 138 …. (i)
A + B = (40 x 2) = 80 …. (ii)
B + C = (43 x 2) = 86 ….(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 …. (iv)
Subtracting (i) from (iv), we get : B = 28.
B’s weight = 28 kg.
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2415?
A.s.800
B.s.810
C.s.805
D.s.900
Answer: C.s.805
Explanation: 2415 * 1/3 = 805
Option C
Question: A sum of money at simple interest amounts to $ 980 in 3 years and to $1024 in 4 years. The sum is:
A.$153
B.$848
C.$398
D.$549
Answer: B.$848
Explanation: B
$848
S.I. for 1 year = $(1024 - 980) = $44.
S.I. for 3 years = $(44 x 3) = $132.
Principal = $(980 - 132) = $848.
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
A.299 m
B.982 m
C.399 m
D.150 m
Answer: D.150 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 + 100)/25 = x/15 => x = 150 m.
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
A.150
B.872
C.250
D.288
Answer: C.250
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 250 meter
Answer:C
Question: (469 + 174)2 - (469 - 174)2	/(469 x 174)=?
A.2
B.4
C.295
D.643
Answer: B.4
Explanation: Explanation:
Given exp. =	(a + b)2 - (a - b)2/ab
=	4ab/ab
= 4 (where a = 469, b = 174.)
ANSWER IS B
Question: What is the sum of all the composite numbers up to 20?
A.228
B.277
C.198
D.132
Answer: D.132
Explanation: Explanation:
4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132
Answer: D
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
A.10/7 sec
B.12/7 sec
C.20/7 sec
D.17/7 sec
Answer: C.20/7 sec
Explanation: Explanation:
They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
ANSWER IS C
Question: A boy has five trousers and 14 shirts. In how many different ways can he select a trouser and a shirt?
A.60
B.278
C.70
D.108
Answer: C.70
Explanation: The boy can select one trouser in five ways.
The boy can select one shirt in 14 ways.
The number of ways in which he can select one trouser and one shirt is 5 * 14
= 70 ways.
Answer: C
Question: If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will be the cost of 24 erasers and 10 sharpeners?
A.Rs.62/-
B.Rs.84/-
C.Rs.78/-
D.Rs.150
Answer: C.Rs.78/-
Explanation: Explanation:
By analysis, we get 8x2 = 16 (erasers)
5x3 = 15 (sharpeners)
:.1 Eraser costs Rs.2/- and 1 sharpener costs Rs.3/-
Hence, the cost of 24 erasers + 10 sharpeners = 24x2 + 10x3 = 48+30 = Rs.78/-
Answer: Option C
Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?
A.9!
B.3!*4!*2!
C.5!*5!
D.5!*4!*2!
Answer: B.3!*4!*2!
Explanation: Since all the vowels and consonants have to be together there can only be there are 3! way to order the vowels and 4! to order the consonants. But they must be together either vowels come first or consonants so you multiply by 2.
So 3!4!2! (B)
Question: Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 6 hours, how many minutes did it take Cole to drive to work?
A.84
B.136
C.172
D.210
Answer: D.210
Explanation: First round distance travelled (say) = d
Speed = 75 k/h
Time taken, T2 = d/75 hr
Second round distance traveled = d (same distance)
Speed = 105 k/h
Time taken, T2 = d/105 hr
Total time taken = 6 hrs
Therefore , 6 = d/75 + d/105
LCM of 75 and 105 = 525
6= d/75 + d/105
=> 6 = 7d/525 + 5d/525
=> d = 525 / 2 Km
Therefore, T1= d/75
=> T1 = 525 / (2 x 75)
=> T1 = (7 x 60) / 2 -- in minutes
=> T1 = 210 minutes.
D
Question: A dice has one of the first 4 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to
A.41
B.43
C.60
D.68
Answer: B.43
Explanation: if die is rolled then avg score = (2+3+5+7 )/4 = 41/4
so, most likely sum for 10 times = 41/4 * 10 = 43
ANSWER:B
Question: Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 350 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?
A.$ 1.50
B.$ 1.88
C.$ 2.14
D.$ 2.50
Answer: C.$ 2.14
Explanation: 7 regular days --> sales = 7*32*x = 224x;
3 hot days --> sales = 3*32*(1.25x) = 120x;
Total sales = 224x+120x = 344x.
Total cost = 10*32*0.75 = 240.
Profit = 344x - 240 = 350 --> x=1.715.
1.25x=~2.14.
Answer:C.
Question: Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
A.Rs. 9,000
B.Rs.14,000
C.Rs.15,000
D.Rs.18,000
Answer: A.Rs. 9,000
Explanation: Explanation:
Let Rs.P be the money borrowed by Akhil.
I) R = 6%, T = 2 years
Simple Interest of 2 years = PRT/100
= P * 6 * 2/100 = 12P/100
II) R = 9%, T = 3 years
Simple Interest of 3 years = P * 9 * 3/100 = 27P/100
III) R = 14%, T = 4 years
Simple Interest of 3 years= P * 14 * 4/100 = 56P/100
Therefore, total Simple Interest of 9 years
= 12P/100 + 27P/100 + 56P/100
= 95P/100
The total interest paid after nine years = Rs.8550
95P/100 = 8550
Therefore, 95P = 855,000
P = 855,000/95 = Rs. 9,000
Amount of money borrowed by Akhil = Rs. 9,000
ANSWER A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.70
B.71
C.72
D.73
Answer: C.72
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: Option C
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold
A.a.	A - 40
B.b.	B - 15
C.c.	C – 22.5
D.d.	D – 30
Answer: A.a.	A - 40
Explanation: A --- 120/2 + 15 = 75 --- CORRECT
B --- 45/2 + 15 = not an integer --- wrong
C --- 22.5(3/2) + 15 = not an integer --- wrong
D --- 90/2+15 = 60 --- wrong
This is one of those problems that will probably be easiest to solve by plugging in numbers. The algebra is do-able, but it's not worth the effort (in my opinion). I was able to solve it in under 30 seconds total with this method.
A
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
A.17
B.15
C.8
D.3
Answer: D.3
Explanation: Explanation:
If the number is x,
Then, x + 17 =	60/x
x2 + 17x - 60 = 0
(x + 20)(x - 3) = 0
x = 3, -20, so x = 3 (as 3 is positive)
Answer: Option D
Question: In a class, the average age of 45 boys is 18 years and the average of 35 girls is 15 years. what is the average age of the whole class?
A.11 Years
B.12.6 Years
C.13 Years
D.16.6 Years
Answer: D.16.6 Years
Explanation: Total age of 80 students
(45X 18+35 X 15) = 1335
Average = 1335/80 = 16.6 Years
D)
Question: 40, 45, 50, 50, 60, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.7, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: The average of {40, 45, 50, 50, 60, 75, 75, 100, 100, 100} is 69.5.
1 standard deviation below the mean is 69.5 - 22.7 = 46.8. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.
Answer B.
Question: I chose a number and divide it by 6. Then I subtracted 15 from the result and got 5. What was the number I chose?
A.600
B.700
C.120
D.900
Answer: C.120
Explanation: Solution:
Let xx be the number I chose, then
x/6âˆ’15=5
x/6=20
x=120
Answer C
Question: A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?” After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers.” The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold are
A.36
B.37
C.38
D.39
Answer: B.37
Explanation: 37(x-y)=x^2-y^2. u no tht x^2-y^2=(x-y)(x+y).so (x-y) cancels on both sides to give x+y=37.so sum of unequal halves=37 which is the required answer.
Answer B
Question: If 145% of j is equal to 25% of k, 160% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 40% of m is equal to what percent of 200% of j ?
A.0.35
B.3.5
C.35
D.700
Answer: D.700
Explanation: IMO answer should be 350...
consider j=10, then k=50, l=150 and m=350....
40% of 350, comes out to be 140....
200% of 10 is 20....
(140*100)/20=700....
Ans : D
Question: A sum fetched total simple interest of 4016.25 at the rate of 14 p.c.p.a. in 5 years. What is the sum?
A.5737.5
B.8032.5
C.4462.5
D.8900
Answer: A.5737.5
Explanation: Let the sums be P.
Now, 70% of P = 4016.25
or, P = 5737.5
Answer A
Question: Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
maximum values of (X/Y) = ?
A.48/38
B.48/43
C.48/33
D.38/33
Answer: C.48/33
Explanation: Mean = 38
X = Mean + 2SD => 28 < x < 48
Y = Mean + 1SD => 33 < x < 43
So, Maximum Value of x/y = Maximum Value of x / Minimum Value of y = 48/33
Hence answer will be (C) 48/33
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
A.6hr
B.5.6hr
C.9.5hr
D.7.2hr
Answer: D.7.2hr
Explanation: Net part filled in 1 hour 1/4 - 1/9 = 5/36
The cistern will be filled in 36/5 hr = 7.2hr
Answer is D
Question: Find the simple interest on Rs 7000 at 50/3 % for 9 months
A.Rs. 1075
B.Rs. 975
C.Rs. 875
D.Rs. 775
Answer: C.Rs. 875
Explanation: Explanation:
S.I. = P×R×T100
So, by puƫing the values in the above formula, our result will be.
Required result = 7000×50×93×12×100=875
[Please note that we have divided by 12 as we converted 9 months in a year format]
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.29
B.29
C.60
D.19
Answer: C.60
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5
= 60 km/hr.
Answer:C
Question: If the selling price is septuple,the profit is octupled,what is the percentage of profit??
A.50%
B.100%
C.150%
D.200%
Answer: B.100%
Explanation: we can make two equations from the given info..
let selling price be S and cost price be C..
so profit=P=S-C...
if S is doubled profit is tripled..
so 8P=7S-C..
or S=7P...
therefore C=P..
% of profit=P/P=100%
B
Question: N is a positive integer. When N + 1 is divided by 3, the remainder is 2. What is the remainder when N is divided by 3?
A.1
B.5
C.4
D.3
Answer: A.1
Explanation: N+1 = 3a+2
i.e. N+1 = 5, 8, 11, 14, ... etc.
i.e. N = 4, 7, 10, 13, ... etc.
When N is divided by 3 Remainder is always 1
Answer: A
Question: Find the odd man out. 1,8,27,60,125
A.216
B.125
C.185
D.64
Answer: D.64
Explanation: Explanation :
1^3=3
2^3=8
3^3=27
4^3=64
5^3=125
Hence, it is clear that 64 should have come instead of 60
Answer : Option D