RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 20 and 15 hours respectively and C can empty it in 30 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
A.7 AM
B.5 AM
C.6 AM
D.4 AM
Answer: B.5 AM
Explanation: 1 to 2 = 1/20
2 to 3 = 1/20 + 1/15 = 7/60
After 3 AM = 1/20 + 1/15 - 1/30= 5/60
1/20 + 7/60 = 1/6
1 h ---- 5/60
? ----- 1/6
2hours ==> 5 AM
Answer:B
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. In how much time will the trains cross each other?
A.80/6
B.80/7
C.80/9
D.80/2
Answer: B.80/7
Explanation: Relative speed = (54 + 72)* 5/18 = 7 * 5 = 35 mps.
The time required = d/s = (100 + 100 + 200)/35
= 400/35 = 80/7 sec.
Answer:B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.25000?
A.8275
B.1879
C.2779
D.2672
Answer: A.8275
Explanation: A = 25000(11/10)^3
= 33275
= 25000
----------
8275
Answer: A
Question: If 9 men and 2 boys working together, can do eight times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.2:5
B.1:3
C.5:8
D.6:1
Answer: D.6:1
Explanation: 9M + 2B =8(1M + 1B)
9M + 2B = 8M + 8B
1M = 6B
The required ratio of work done by a man and a boy =6:1
Answer:D
Question: The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. Then banker’s discount is :
A.500
B.750
C.890
D.1020
Answer: D.1020
Explanation: Sol.
T.D. = [B.G. * 100 / R * T] = Rs.[270 * 100 / 12 * 3] = Rs.750.
∴ B.D. = Rs. (750 + 270) = Rs.102
Answer D
Question: In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/4 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
A.50
B.90
C.100
D.105
Answer: B.90
Explanation: Rented = 4/7*490 = 280.
Rented two-bedroom = 6/7*280 = 240;
Rented one-bedroom = 1/7*280 = 40 (or 280-240=40).
Rented one-bedroom units are 1/4 of all one-bedroom: 1/4*{All one bedroom} = 40 --> {All one-bedroom} = 160
{All two-bedroom} = 490 - 160 = 330
Two-bedroom not rented = 330 - 240 = 90
B
Question: After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6840. Find the actual price of the good.
A.Rs. 6000
B.Rs. 9000
C.Rs. 10800
D.Rs. 10000
Answer: D.Rs. 10000
Explanation: Let actual price was 100.
After three successive discount this will become,
100 ==20% discount => 80 ==10% discount => 72 ==5% discount = 68.4
Now Compare,
68.4 = 6840
1 = 6840/68.4
100 = (6840 *100)/68.4 = Rs. 10,000.
Answer: Option D
Question: 7212 + 15.231 - ? = 6879
A.359.022
B.362.02
C.328.221
D.348.231
Answer: D.348.231
Explanation: Explanation :
Required Value = 7212 + 15.231 - 6879 = 348.231. Answer : Option D
Question: ?% of 360 = 151.2
A.42
B.36
C.64
D.72
Answer: A.42
Explanation: ?% of 360 = 151.2
or, ? = 151.2×100/360=42
Answer A
Question: Ravi and Kavi start a business by investing â‚¹ 3000 and â‚¹ 72000, respectively. Find the ratio of their profits at the end of year.
A.2 : 24
B.5 : 24
C.7 : 24
D.1 : 24
Answer: D.1 : 24
Explanation: Ratio of profit = Ratio of investments
= 3000 : 72000 = 1 : 24
Answer : D
Question: The average of first five prime numbers greater than 20 is?
A.32.6
B.32.9
C.32.3
D.32.2
Answer: D.32.2
Explanation: 23 + 29 + 31 + 37 + 41 = 161/5 = 32.2
Answer: D
Question: 80 370 860 1550 ? 3530
A.900
B.2440
C.750
D.244
Answer: B.2440
Explanation: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530.
ANSWER:B
Question: Which one of the following is divisible by 9?
A.23, 50, 821
B.28, 70, 052
C.42, 13, 533
D.64, 000, 80
Answer: D.64, 000, 80
Explanation: Explanation:
(a) 2350821 = 2+3+5+0+8+2+1 = 21, not divisible by 9
(b) 2870052 = 2+8+7+5+2 = 24, not divisible by 9.
(c) 4213533 = 4+2+1+3+5+3+3 = 19, not divisible by 9.
(d) 6400080 = 6+4+8 = 18, divisible by 9.
Answer: D
Question: A train is moving at 4/5 of its usual speed. The train is 30 minutes too late. What is the usual time (in hours) for the train to complete the journey?
A.1
B.1.5
C.2
D.2.5
Answer: C.2
Explanation: new time = d / (4v/5) = 5/4 * usual time
30 minutes represents 1/4 of the usual time.
The usual time is 2 hours.
The answer is C.
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.3600. How much third person will get?
A.1600
B.2878
C.2699
D.2662
Answer: A.1600
Explanation: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 3600 = 1600
Answer: A
Question: Evaluate
6202.5 + 620.25 + 62.025 + 6.2025 + .62025
A.6791.59775
B.6891.59775
C.6891.59675
D.5891.59775
Answer: B.6891.59775
Explanation: Explanation:
Just we need to take care to put decimal under decimal, rest add in a simple way
Option B
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 33 cm?
A.276 sq.cm
B.268 sq.cm
C.618 sq.cm
D.660 sq.cm
Answer: D.660 sq.cm
Explanation: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.
BE2 + AE2 = AB2
252 = 152 + AE2 AE = √(625 - 225)
= √400 = 20,
AC = 20 + 20 = 40 cm.
Area of a rhombus
= 1/2 * d1d2
= 1/2 * 40 * 33
= 660 sq.cm.
Answer:D
Question: The average weight of three boys P, Q and R is 54 kg, while the average weight of three boys Q, S and T is 60 kg. What is the average weight of P, Q, R, S and T?
A.66.4 kg
B.63.2 kg
C.58.8 kg
D.Data Inadequate
Answer: D.Data Inadequate
Explanation: Explanation:
Total weight of (P + Q + R) = {54*3} kg = 162 kg
Total weight of(Q + S + T) = (60 *3) kg = 180 kg
Adding both, we get : P + 2Q + S + R + T = (162 + 180) kg = 342 kg
So, to find the average weight of P, Q, R, S & T, we ought to know Q's weight, which is not given.
The data is inadequate
ANSWER: D
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A.1/10
B.2/5
C.2/7
D.5/7
Answer: C.2/7
Explanation: P (getting a prize) =	10/(10 + 25)	=	10/35	=	2/7	.
Answer :C
Question: A tree increases annually by 1⁄5 th of its height. If its height today is 50 cm, what will be the height after 2 years?
A.64 cm
B.84 cm
C.72 cm
D.64 cm
Answer: C.72 cm
Explanation: Explanation:
This problem is similar to the problems we saw in compound interest.
We can use the formulas of compound interest here as well.
Rate of increase = 1/5 × 100 = 20%
Height after 2 years = P(1+R/100)T
= 50(1 + 20/100)2 = 50(1 + 1/5)2
= 50(6/5)2 = (50 × 6 × 6)/(5 × 5) = 2 × 6 × 6 = 72 cm
Answer: Option C
Question: When 0.232323..... is converted into a fraction, then the result is
A.23/99
B.2/9
C.1/5
D.23/100
Answer: A.23/99
Explanation: 0.232323... = 0.23
=	23/99
Answer is A.
Question: If the perimeter of a rectangular garden is 1800 m, its length when its breadth is 400 m is?
A.500
B.600
C.700
D.800
Answer: A.500
Explanation: 2(l + 400) = 1800 => l = 500 m Answer: A
Question: If n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2^k is a factor of n?
A.10
B.12
C.15
D.18
Answer: D.18
Explanation: Given: n=20!n=20!. The highest power k for which 2^k is a factor of n can be found with the above formula:
k=20/2+20/4+20/8+20/16=10+5+2+1=18
Answer: D.
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 5 times as much as her cat. How much does her dog weigh in kilograms?
A.A)10.4kg
B.B)13kg
C.C)22kg
D.D)48kg
Answer: B.B)13kg
Explanation: 2.6*5=13 kg.Answer is B.
Question: Evaluate combination
100C100
A.10000
B.1000
C.10
D.1
Answer: D.1
Explanation: Explanation:
nCn=1
100C100=1
Option D
Question: Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
A.87
B.89
C.90
D.93
Answer: D.93
Explanation: Total score on 3 tests = 85*3 = 255
Jerry wants the average to be = 87
Hence total score on 4 tests should be = 87*4 = 348
Score required on the fourth test = 348 - 255 = 93
Option D
Question: What is the units digit of the solution to 177^28−133^23?
A.1
B.3
C.4
D.6
Answer: C.4
Explanation: Let's reduce the clutter and make it easy to solve
So, 7^28 - 3^23 will have the same units digit as the big numbers above
Both 7 and 3 have a cyclicity of 4, i.e. their powers repeat the units digit after every 4th power
So , 7^28 has the same units digit as 7^4 ,which is 1
Similarly, 3^23 has the same units digit as 3^3, which is 7
Now, we get
xx...xx1 - xx....xx7 = xx...xx4
Thus, the units digit of the solution to 177^28 - 133^23 is 4
Correct Option : C
Question: What is the square root of 324?
A.A)18
B.B)9
C.C)45
D.D)62
Answer: A.A)18
Explanation: A square root of a number is a number times itself equals the original number.
Ex) The square root of 81 is 9 because 9 times itself(9) equals the original number(81).
18*18=324
324 divided by x = 18
x=18
(A) 18
Question: A company producing fruit juice changed its packaging from boxes measuring 5 x 10 x 20 centimeters to boxes measuring 6 x 10 x 20 centimeters. If the price of a box did not change and all boxes are full of juice, by approximately what percent did the price of the juice decrease?
A.12.00%
B.16.67%
C.18.33%
D.20.00%
Answer: B.16.67%
Explanation: suppose when v = 5x10x20 = 1000 cm, the price is $1200
per cm price = $1.2
the price is $1200 if v = 6x10x20 = 1000 cm.
per cm price = $1.0
so the price is decreased by $0.2
so the % price decreased by $0.2/1.20 = 16.67%
ANSWER:B
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 2 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least two ingredients? (Also assume that each bin can hold one and only one blend.)
A. 1
B. 6
C. 7
D. 11
Answer: A. 1
Explanation: We're told that there are 2 ingredients (we'll call them A, B); we're told that each 'mix' must include AT LEAST 2 ingredients...
2 ingredient blends:
AB
Total blends = 1
A
Question: 70,75, 73,76,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, 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.1
B.2
C.3
D.4
Answer: C.3
Explanation: How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.
We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 3 data points below 100-22.4=77.6, namely 70, 73 and 75.
Answer: C.
Question: How many multiples of 5 are there between 10 and 89, 10 and 89 inclusive?
A.17
B.16
C.18
D.19
Answer: B.16
Explanation: 5 multiples are ...10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,...
,...,
the answer is =16
Answer is B
Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.3] - 6.6?
A.12.6.
B.15.8.
C.14.4.
D.16.2.
Answer: B.15.8.
Explanation: [6.5] x [2/3] + [2] x 7.2 + [8.3] - 6.6
= 6*0 + 2*7.2 + 8 - 6.6
= 0 +14.4 +1.4
15.8
Answer B
Question: What is the sum of first 10000 numbers in the series -1,+1,-1,+1,-1.......??
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: -1+1=0
and for 10000 numbers it will form 5000 pairs
so 5000*0 = 0
ANSWER:A
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 10 years?
A.30
B.35
C.40
D.50
Answer: A.30
Explanation: Explanation :
(A + B), five years ago = (15 * 2) = 30 years.
(A+B), now = (30+5*2)years=40 years.
(A + B + C), now = (20 x 3) years =60 years.
C, now = (60 - 40) years = 20 years.
C, after 10 years = (20 + 10) years =30 years.
Answer : A
Question: (4!)^n is a factor of 12!, but (4!)^(n+1) is not factor of 12!. What is the value of n?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
4! = 24
Question can be rephrased as how many 24's are there in 12!
12 * 2 = 24
4 * 6 = 24
3 * 8 = 24
Value of n = 3
Answer: C
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 $55.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
A.25.5
B.30.4
C.31.8
D.32.5
Answer: A.25.5
Explanation: $69-$55=14$
(14/55)*100=25.5%
ANSWER:A
Question: Bill is golfing with two friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 10 golf tees for each member of his foursome, if he will buy no more than 1 packages of the generic golf tees?
A.16
B.10
C.9
D.4
Answer: C.9
Explanation: At least 10 golf tees for each member of his threesome = total of at least 3*10 = 30 tees.
1 packages of the generic golf tees, that are packaged by the dozen = 1*12 = 12 tees.
So, Bill must by at least 18 Aero tees. They come by the pair, hence he must by at least 18/2 = 9 packages of Aero flight tees.
Answer: C.
Question: If the price of 50 toys is 1000, then what will the price of 20 toys ?
A.400
B.361
C.117
D.287
Answer: A.400
Explanation: One toy price = 1000/50 = 20
20 toy price = 20 * 20 = 400
Answer : A
Question: Arun is traveling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm?
A.22
B.38
C.12
D.99
Answer: C.12
Explanation: Let the distance be x km
if travels at 10 kmph, Arun will reach point A at 2 pm
if travels at 15 kmph, Arun will reach point 12 noon
=> Time taken when traveling at 10 km = Time taken when traveling at 15 km + 2 hours
⇒x10=x15+2⇒x10−x15=2⇒3x−2x=2×30⇒x=60⇒Distance = 60 km
Examine the any statement say, if travels at 10 kmph, Arun will reach point A at 2 pm
⇒Time taken = DistanceSpeed=6010=6 hours⇒He must have started 6 hours back 2 pm, ie, at 8 am⇒Now he wants to reach at 1 pm. ie; time to be taken = 5 hours⇒Speed needed = DistanceTime=605=12 kmph
Answer : C
Question: Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
A.120
B.150
C.100
D.180
Answer: C.100
Explanation: n(A)=325,n(B)=175,n(AuB)=450-50=400.
Required number = n(AnB)=n (A)+n (B)-n(AuB)=325+175-400=100.
Answer is C
Question: Pipe A can fill a tank in 15 hours, pipe B in 30 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled?
A.2
B.2.5
C.3
D.8
Answer: D.8
Explanation: Sol.
Part filled by (A + B + C) in 1 hour = (1/15 + 1/30 + 1/40) = 1/8.
âˆ´ All the three pipes together will fill the tank in 8 hours.
Answer D
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
A.6620
B.2277
C.2677
D.2688
Answer: A.6620
Explanation: A = 20000(11/10)3
= 26620
= 20000
----------
6620
Answer: A
Question: Let C be defined as the sum of all prime numbers between 0 and 23. What is C/3
A.155
B.129
C.61
D.25.3
Answer: D.25.3
Explanation: Prime numbers between 0 and 30 - 2 , 3 , 5 , 7, 11 , 13 , 17 , 19
Sum,C = 77
C/3 = 25.3
Answer D
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.22
B.190
C.277
D.18
Answer: B.190
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.Answer:B
Question: In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, 23, ?, 47
A.31
B.34
C.36
D.31
Answer: B.34
Explanation: B
34
The given sequence is +5, +7, +9, ——
ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Missing Number = 23 + 11 = 34.
Question: A work crew of 6 Men takes 9 days to complete one-half of a job. If 12 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
A.2
B.3
C.3 1/3
D.4
Answer: B.3
Explanation: Suppose 1 man can do work in X days..
so 6 men will do in ..
6/X=1/9*1/2 as half job is done
X=108
now 12 more are added then
18/108=1/2*1/d for remaining half job
d=3 Number of days
B
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
A.32
B.86
C.44
D.22
Answer: B.86
Explanation: Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 28
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -28 = 144
B = (144 + 28)/2 = 86
Answer:Option B
Question: A man can row 8 km/hr in still water. If the river is running at 3 km/hr, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place?
A.32.5 km
B.25 km
C.27.5 km
D.22.5 km
Answer: C.27.5 km
Explanation: Explanation :
Let the speed downstream = x and speed updstream = y
Then
(x+y)/2=8
=> x + y = 16 ---(Equation 1)
(x−y)/2=3
=> x - y = 6 ---(Equation 2)
(Equation 1 + Equation 2) = > 2x = 22
=> x = 11 km/hr
(Equation 1 - Equation 2) = > 2y = 10
=>y = 5 km/hr
Time taken to travel upstream = Time taken to travel downstream + 3
Let distance be x km
Then
x/5 = (x/11) + 3
=> 11x = 5x + 165
=> 6x = 165
=> 2x = 55
=> x = 27.5. Answer : Option C
Question: Find the value of 72519 x 9999 = m?
A.345434667
B.246465757
C.465767867
D.725117481
Answer: D.725117481
Explanation: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Question: If the personal income tax rate is lowered from 46% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36000?
A.$3500
B.$5040
C.$3150
D.$7000
Answer: B.$5040
Explanation: Saving = (46-32)% of 36000 = 5040.
Answer:B
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 7 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
A.8 minutes, 10.4 seconds
B.5 minutes, 21.8 seconds
C.5 minutes, 43.56 seconds
D.5 minutes, 44.44 seconds
Answer: A.8 minutes, 10.4 seconds
Explanation: One approach:
The watch starts to work after Nuria began his running. It means the time should be greater than credited 7 minutes, 44 seconds. The only number is 8 minutes, 10.4 seconds.
Another approach:
11/25 close to 30 second when added to the 7 minutes, 44 seconds, it means it passes 8 minute.
Answer: A
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
A.5,14
B.6,4
C.12,7
D.7,5
Answer: C.12,7
Explanation: Answer: Option C
x â€“ y = 5
4x â€“ 6y = 6
x = 12 y = 7
Question: In a village there are 20 men and 25 women. In how many ways can a man and a woman be selected?
A.200
B.300
C.500
D.600
Answer: C.500
Explanation: We can select one men from 20 women in 20 ways.
We select one woman from 25 women in 25 ways
We select a Men and women in 20 * 25 ways i.e., = 500 ways.
C
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be $84 more. What is the cost price?
A.$900
B.$1200
C.$1500
D.$1800
Answer: B.$1200
Explanation: 7% * cost price = $84
1% * cost price = $84 / 7 = $12
The cost price is $1200.
The answer is B.
Question: A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 80 km/hr. When will he overtake the thief?
A.6:30 p.m
B.9:30 p.m
C.4:30 p.m
D.2:30 p.m
Answer: C.4:30 p.m
Explanation: :
Suppose the thief is overtaken x hrs after 2.30 p.m.
Then, distance covered by the owner in (x - 1/2) hrs.
60x = 80(x - 1/2) => x = 2 hrs.
So, the thief is overtaken at 4:30 p.m.'
Answer: C
Question: The 540 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
A. 4
B. 20
C. 30
D. 60
Answer: A. 4
Explanation: Obviously the number of rows must be a factor of 540. The only option which is not a factor of 540 is A (4).
Answer: A.
Question: If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?
A.$8
B.$9
C.$27
D.$32
Answer: D.$32
Explanation: Josh+Doug+Brad = 68 ; Josh = 2 Brad, Josh =3/4 Doug
Josh+1/2 Josh+ 4/3 Josh = 68 (substituted the given values)
Josh = 24. 24= 3/4 Doug => Doug =32
Answer is D.
Question: A rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 96 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
A.a 64
B.b 22
C.c 27
D.d 40
Answer: A.a 64
Explanation: l = 96 /12 = 8 ft
w = 72 / 12 = 6 ft
Area of paper = 48
Area of cube = 8 * side^2
side of cube = 4
V of cube = 64
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
A.242
B.297
C.648
D.267
Answer: C.648
Explanation: Number of shares = 4455 = 540.
8.25
Face value = Rs. (540 x 10) = Rs. 5400.
Annual income = Rs. 12	x 5400 = Rs. 648.
100
Answer: C
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.5 sec
B.6 sec
C.7 sec
D.10 sec
Answer: B.6 sec
Explanation: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
ANSWER:B
Question: If two sides of a triangle are 6 and 10, respectively, which of the following could NOT be the area of this triangle?
A.1
B.6
C.17
D.38
Answer: D.38
Explanation: For this question it would be helpful to know the largest area that this triangle could be, given the two sides of 6 and 10.
We know that the area of a triangle will be maximized when two sides are perpendicular to each other (consult Bunuel's drawing above). Thus we have a max area being equal to one half the base times the height, either (.5)10 * 6 -or- (.5)6 * 10 will result in a maximum area of 30 for the triangle; therefore, the triangle could never have an area of 38.
D
Question: What is the area of a triangle with the following vertices L(2, 3), M(5, 1), and N(3, 5) ?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use it to solve this problem.
Though if you make a diagram minimum simple calculations will be needed:
Answer: B.
Question: The C.P of 17 books is equal to the S.P of 18 books. Find his gain% or loss%?
A.16 2/3%
B.16 2/8%
C.5 5/9%
D.16 2/1%
Answer: C.5 5/9%
Explanation: 17 CP = 18 SP
18 --- 1 CP loss
100 --- ? => 5 5/9% loss.Answer: C
Question: 18 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
A.22
B.66
C.88
D.100
Answer: A.22
Explanation: (18 * 8)/30 = (x * 6)/50 => x =40
40 – 18 = 22
Answer: A