mathewhe/aqua_rat huggingface dataset:
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
(A) 60 gallons
(B) 100 gallons
(C) 120 gallons
(D) 180 gallons
(E) 80 gallons
Rationale: Let the capacity of tank x gallons. then in 1 minute tank filled (x/20+x/24-3)gallons
From the question we can write
15(x/20+x/24-3)=x [it took 15 min to fill x gallons]
x/20+x/24-x/15=3
(6x+5x-8x)/120=3
3x/120=3
x=120 gallons
ANSWER :C
Answer: (C) 120 gallons
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 3 days and B leaves after 2 days from the beginning. How long will work lost?
(A) 10 1/3
(B) 12 1/3
(C) 11 1/3
(D) 13 1/3
(E) 9 1/3
Rationale: 3/10 + 2/15 + x/20 = 1
x = 34/3 = 11 1/3
Answer: C
Answer: (C) 11 1/3
Question: A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person?
(A) 14 years
(B) 18 years
(C) 20 years
(D) 32 years
(E) none
Rationale: Solution
Let the present ages of the person be x years.
Then	3(x-3)-3(x-3)
‹=› x= (3x+9)-(3x-9)
x=18.
Answer B
Answer: (B) 18 years
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 2, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
(A) 1/3
(B) 1/4
(C) 1/5
(D) 1/6
(E) 1/7
Rationale: A
Answer: (A) 1/3
Question: To mail a package, the rate is 15 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
(A) Combined, with a saving of 5 cents
(B) Separately, with a saving of 5 cents
(C) Combined, with a saving of 15 cents
(D) Separately, with a saving of 15 cents
(E) Combined, with a saving of 10 cents
Rationale: 5 pounds = 1*15+4*5 = 35
10 pounds = 1*15+9*5 =60
total = 95
15 pound = 1*15+14*5 = 85
dif. 10
Answer : E
Answer: (E) Combined, with a saving of 10 cents
Question: If 213 × 16 = 3408, then 16 × 21.3 is equal to :
(A) 0.3408
(B) 3.408
(C) 34.08
(D) 340.8
(E) None of these
Rationale: Solution
16 × 21.3 = (16x 213/10)= (16x 213/10) = 3408/10 = 340.8. Answer D
Answer: (D) 340.8
Question: A man buys a cycle for Rs. 2800 and sells it at a loss of 25%. What is the selling price of the cycle?
(A) s. 2090
(B) s. 2160
(C) s. 2100
(D) s. 2202
(E) s. 2092
Rationale: S.P. = 75% of Rs. 2800 = Rs.	75	x 2800/100 = Rs. 1190
Answer: Option C
Answer: (C) s. 2100
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 15%. Their gross income from sales for one month increases by what percent?
(A) 1.5%
(B) 2.5%
(C) 3.5%
(D) 4.5%
(E) 5.5%
Rationale: Let P be the original price and let x be the number of items sold originally.
The original income is P*x.
After the changes, the income is 0.9P*1.15x = 1.035*(P*x), an increase of 3.5%.
The answer is C.
Answer: (C) 3.5%
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec. What is the length of the platform?
(A) 187 m
(B) 350 m
(C) 267 m
(D) 287 m
(E) 675 m
Rationale: Speed = 300/12 = 25 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 =25
=> x = 675 m.
Answer:E
Answer: (E) 675 m
Question: {9,5,6,4,8,3,5}
What value should be added to the set of 7 values to get a median of 6?
(A) 5
(B) 3
(C) 1
(D) 4
(E) 6
Rationale: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.
The question asks fora new number that will cause the median of new set at 6.
Mentionable that given set is already sorted and number of items of new set will be 7+1 = 8.
To get median 3,the sum of 4th5th Term should be 12 and luckilyit's exactly same in the existing series i.e. 8+4.
So to keep the median 6, the new item should be >=4
The answer is D
Answer: (D) 4
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
(A) 12
(B) 56
(C) 36
(D) 37
(E) 24
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20
= 12 sec.
Answer:A
Answer: (A) 12
Question: How many digits are required to number a book containing 240 pages?
(A) 756
(B) 612
(C) 492
(D) 372
(E) 250
Rationale: 9 pages from 1 to 9 will require 9 digits.
90 pages from 10 to 99 will require 90*2=180 digits.
240-(90+9)=141 pages will require 141*3=423 digits.
The total number of digits is 9+180+423=612.
The answer is B.
Answer: (B) 612
Question: A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it
take to cross a railway plaƞorm 165 meters long
(A) 7 second
(B) 7.5 second
(C) 8 second
(D) 8.5 second
(E) None of these
Rationale: Explanation:
As we need to calculate answer in seconds, so first convert speed into meter/sec.
we know 1 km/hr = 1*(5/18) m/sec
So, Speed = 132* (5/18) = 110/3 m/sec
Distance need to be covered in passing the plaƞorm =
Length of train + length of plaƞorm = 110 + 165
= 275 meters
Time = Distance/Speed
=>Time=275
∗
3110=152=7.5seconds
Answer: B
Answer: (B) 7.5 second
Question: Find the greatest number which on dividing 3815 and 4521, leaves a reminder of 31 and 33 respectively
(A) 88
(B) 56
(C) 89
(D) 86
(E) 96
Rationale: Explanation:
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (3815 - 31) and (4521 -33)
= HCF (3784, 4488) = 88
Option A
Answer: (A) 88
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony four hours from now?
(A) 77,500
(B) 1,860,000
(C) 2,480,000
(D) 3,720,000
(E) 4,960,000
Rationale: 310,000 × 2 × 2×2 = 310,000 × 8 = C
Answer: (C) 2,480,000
Question: A person crosses a 300 m long street in 5 minutes. What is his speed in km per hour?
(A) 5.2 km/hr.
(B) 8.2 km/hr.
(C) 7.2 km/hr.
(D) 3.6 km/hr.
(E) 4.2 km/hr.
Rationale: D
3.6 km/hr.
Speed=(300/5 * 60) m/sec
= 1 m/sec.
Converting m/sec to km/hr
=(1*18/5) km/hr
= 3.6 km/hr.
Answer is D
Answer: (D) 3.6 km/hr.
Question: The average (arithmetic mean) of 9 numbers is 9. If 5 is added from each of 6 of the numbers, what is the new average?
(A) 8.9
(B) 46.35
(C) 41.6
(D) 7.6
(E) 12.3
Rationale: Sum of 9 numbers = 9*9=81
If 5 is added from each of six of the numbers , we added 5*6=30 from the total sum
Sum of 9 number after adding 5 from each of six of the numbers =81+30=111
New average =111/9=12.3
Answer (E)
Answer: (E) 12.3
Question: How many digits are required to write numbers between 1 to 100.
(A) 196
(B) 158
(C) 192
(D) 200
(E) None
Rationale: Explanation:
Single digits are from 1 to 9 = 9 digits
Doubt digits are from 10 to 99 = 90 x 2 = 180 digits
100 needs 3 digits. Total 192 digits
Correct Option: C
Answer: (C) 192
Question: Express a speed of 54 kmph in meters per second?
(A) 10 mps
(B) 76 mps
(C) 15 mps
(D) 97 mps
(E) 16 mps
Rationale: 54 * 5/18
= 15 mps
Answer:C
Answer: (C) 15 mps
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
(A) 28
(B) 112
(C) 48
(D) 64
(E) 76
Rationale: B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*161 = 112.
Answer: B.
Answer: (B) 112
Question: if each of its sides of a rectangle is increased by 12%, what is the percentage increase in the area of the rectangle, ?
(A) 24.44%
(B) 22.44%
(C) 26.44%
(D) 25.44%
(E) 29.44%
Rationale: Assume original length = 100m by 50m
original area = 100*50= 5000
12% increase on each side
l = 100 + 12 = 112
w = 50 + 6 = 56
new area = 112*56= 6272
increase in area = 6272 - 5000 = 1272
%increase =25.44%
Answer D
Answer: (D) 25.44%
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.
(A) 45°
(B) 37 1⁄2°
(C) 47 1⁄2°
(D) 46°
(E) None of these
Rationale: Angle traced by the hour hand in 12 hours = 360°
Angle traced by it in 3 hrs 25 min. i.e. 41⁄12 hrs.
= (360⁄12 × 41⁄12)° = 1021⁄2°
Angle traced by it in 25 min. = (360⁄60 × 25)° = 150°
Required angle = (150° × 1021⁄2°) = 471⁄2°
Answer C
Answer: (C) 47 1⁄2°
Question: A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/3 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
(A) 50%
(B) 33.33%
(C) 25%
(D) 55.55%
(E) 12.5%
Rationale: Say the original retail price of the item was $200.
The price after the first sale = 3/4 * $200 = $150.
The price after the second sale =1/3 * $200 = $200/3.
The percent change from the first sale to the second = (150 - 200/3) / 150 = 1/3 = 55.55%.
Answer: D.
Answer: (D) 55.55%
Question: If an object travels at ten feet per second, how many feet does it travel in one hour?
(A) 34880
(B) 37780
(C) 36000
(D) 18000
(E) 28810
Rationale: Explanation:
If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour.
Answer = 36000
Answer: C) 36000
Answer: (C) 36000
Question: Meena wrote number starting from 1 till 19999.Then how many digits did she write ?
(A) 87889
(B) 88889
(C) 89889
(D) 88789
(E) 88989
Rationale: 1-9=>1*9 digits
10-99=>2*90=180(numbers between 10-99 is 90 where each no has 2 digits)
100-999=>3*900=2700
1000-9999=>4*9000
10000-19999=>5*10000
so ans is 88889
ANSWER:B
Answer: (B) 88889
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.15000, find their shares?
(A) s.6000, Rs.9500
(B) s.6000, Rs.5700
(C) s.6000, Rs.9000
(D) s.8000, Rs.9000
(E) s.10000, Rs.15200
Rationale: The ratio of their profits A:B
= 8:12 = 2:3
Share of A in the total profit
= 2/5 * 15000
= Rs.6000 Share of A in the total profit = 3/5 * 15000
= Rs.9000
Answer: C
Answer: (C) s.6000, Rs.9000
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
(A) 18%
(B) 22%
(C) 42%
(D) 12%
(E) 17%
Rationale: 100 * 100 = 10000
80 * 110 = 8800
10000------- 1200
100 ------- ? = 12%
Answer:D
Answer: (D) 12%
Question: Express a speed of 70 kmph in meters per second?
(A) 10 mps
(B) 19.44 mps
(C) 97.44 mps
(D) 17.44 mps
(E) 18.44 mps
Rationale: 70* 5/18
= 19.44 mps
Answer: B
Answer: (B) 19.44 mps
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 11?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: i'm not sure i got the question right, if it is what i think it is, then 7 should be the right answer
0,1,2,3,4,5, will not have 2 slip sum of 10, add another (either 6,7,8 or 9) and we'll have a pair with sum 10
Ans:E
Answer: (E) 7
Question: Statement: "If you trouble me, I will slap you."
Assumptions:
1) With the warning, the child may stop troubling her.
2) All children are basically naughty.
(A) Only assumption I is implicit
(B) Only assumption II is implicit
(C) Either I or II is implicit
(D) Neither I nor II is implicit
(E) Both I and II are implicit
Rationale: The mother warns her child with the expectation that he would stop troubling her. So, I is implicit. The general nature of children cannot be derived from the statement. So, II is not implicit.
A
Answer: (A) Only assumption I is implicit
Question: -54x29+100=?
(A) -1466
(B) 2801
(C) -2801
(D) -2071
(E) None of them
Rationale: Given exp.=-54x(30-1)+100
=-(54x30)+54+100
=-1620+154
=-1466
Answer is A
Answer: (A) -1466
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
(A) 14 min 80 sec
(B) 14 min 48 sec
(C) 14 min 42 sec
(D) 14 min 40 sec
(E) 14 min 43 sec
Rationale: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15
Remaining part = 1 - 7/15 = 8/15
Part filled by B in 1 minute = 1/20
1/20 : 8/15 :: 1 ; x
x = 8/15 * 1 * 20 = 10 2/3 min = 10 min 40 sec.
The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.
Answer:D
Answer: (D) 14 min 40 sec
Question: A man is three (3) years older than his wife and four (4) times as old as his son. If the son attains an age of fifteen (15) years after three (3) years, what is the present age of the mother?
(A) 60 years
(B) 51 years
(C) 48 years
(D) 45 years
(E) 65 years
Rationale: Let mother age be x
Father age be x+3
X+3=4×12
X=45
ANSWER:D
Answer: (D) 45 years
Question: Farm Tax is levied on the 90% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
(A) 15%
(B) 25%
(C) 0.125%
(D) 13.88%
(E) none
Rationale: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.
But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/90) = 13.88%
The correct answer is (D).
Answer: (D) 13.88%
Question: Anand and Deepak started a business investing Rs 22500 and 35000 respectively. Out of a total profit of 13,800, Deepak's share is:
(A) 4400
(B) 6600
(C) 7400
(D) 8400
(E) 8800
Rationale: 22500+35000=57500,
so for dipak 35000/57500=0.686
total profit : 13800*0.686= 8400
ANSWER:D
Answer: (D) 8400
Question: In a mixture of milk and water, the proportion of milk by weight was 70%. If, in a 150-gram mixture, 50 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
(A) 75.5%
(B) 76.5%
(C) 77.5%
(D) 78.5%
(E) 79.5%
Rationale: The amount of milk is 0.7(150) + 50 = 155 grams.
The proportion is 155/200 = 0.775 which is 77.5%
The answer is C.
Answer: (C) 77.5%
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1081. Find the cost of each ice-cream cup?
(A) 25
(B) 66
(C) 77
(D) 99
(E) 45
Rationale: Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 1081
96 + 225 + 490 + 6x = 1081
6x = 270 => x = 45.
Answer: E
Answer: (E) 45
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
(A) 20p
(B) 13
(C) 15
(D) 18
(E) 21
Rationale: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days
So fodder will be available for (60 + 8 + 12) = 80 cows c 24x60 .0 .
for-^—=18 days.
D
Answer: (D) 18
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 3.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
(A) 5729
(B) 5040
(C) 2889
(D) 2870
(E) 2799
Rationale: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 3.5 = 5040.Answer: B
Answer: (B) 5040
Question: How many of the positive divisors of 240 are also multiples of 4 not including 240?
(A) 6
(B) 8
(C) 9
(D) 11
(E) 12
Rationale: 240 = 2^4 * 3 * 5 = (4) * 2^2 * 3 * 5
Besides (4), the exponents of 2, 3, and 5 are 2, 1, and 1.
There are (2+1)(1+1)(1+1) = 12 ways to make multiples of 4.
We must subtract 1 because one of these multiples is 240.
The answer is D.
Answer: (D) 11
Question: A certain psychologist charges $35 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $350, what is the total charge to a patient who receives only 2 hours of therapy ?
(A)  $120
(B)  $135
(C)  $161
(D)  $165
(E)  $192
Rationale: Let the charge for first hour = x+35
then charge for each additional hour = x
x+35 + 4x = 350
=> 5x = 315
=> x = 63
Total charge for patient for 3 hours of therapy = x+35 + x = 2x+35
= 161 $
Answer C
Answer: (C)  $161
Question: which of the following could be the greatest common factor of positive integers 12 and 16 ? I) 5 II) 4 III) 2
(A) I only
(B) I,II only
(C) II only
(D) I,III only
(E) III only
Rationale: 12=2*2*3
16=2*2*2*2
GCF =2*2=4
Answer : C
Answer: (C) II only
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median Q of List I is equal to the sum of the median of list II and the mode of list II, then y equals
(A) 5
(B) 7
(C) 8
(D) Q=9
(E) 10
Rationale: mode of list ii =3
median Q of list ii =4+6/2 =5
sum of mode + mean = 3+ 5=8
now to make 8 as the median we need to find a value of y such that if the no. of terms in list 1 are odd then y=8 else if even then 7+y /2=8
here its even so
7+y/2=8 from this y= 9 (D)
Answer: (D) Q=9
Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
(A) 29
(B) 28
(C) 299
(D) 176
(E) 2991
Rationale: 25x + 46 = 26(x – 5)
x = 176
Answer: D
Answer: (D) 176
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
(A) 48 minutes 12 seconds
(B) 46 minutes 12 seconds
(C) 26 minutes 12 seconds
(D) 26 minutes 15 seconds
(E) 16 minutes 15 seconds
Rationale: LCM of 252, 308 and 198 = 2772
Hence they all will be again at the starting point after 2772 seconds
or 46 minutes 12 seconds
Answer is B
Answer: (B) 46 minutes 12 seconds
Question: What will be the result of 7^8 - 6/2 + 9^3 +3+12 ?
(A) 95
(B) 64
(C) 1012
(D) 9
(E) 0
Rationale: The multiplication(e.g. 7^8) and division(e.g. 6/2) is done first and then the sum(e.g. 3+12) and
subtraction (e.g. 56-3), and the answer is 95, option A.
Answer: (A) 95
Question: 9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 6 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
(A)  6
(B)  7
(C)  8
(D)  12
(E)  14
Rationale: If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.
Side 1 = 8 m/h --> 4 m in 1/2 hr
Side 2 = 14 m/h --> 7 m in 1/2 hr
to complete this right angle triangle
d^2 = 4^2 + 7^2
d^2 = 65
= ~ 8
Answer option C
Answer: (C)  8
Question: If a, b, and c are negative integers and 3a - 3b = -3c, then which of the following statements must be true?
I. a> b
II. a> b> c
III. a= c
(A) I and II
(B) I only
(C) II only
(D) III only
(E) None
Rationale: From the question: we infer that a-b= -c
a,bc are negative integers .
ex: a= -4
b= -6
-4 - (-6) = -(-2). this implies a>b
here a is not equql to c (III)
c>b(II)
So (I) will be answer , SO option B)
Answer: (B) I only
Question: In how many ways can the letters of word EDUCATION be arranged such that all vowels appear together?
(A) 72000
(B) 15000
(C) 14400
(D) 14200
(E) 13201
Rationale: EDUCATION=Has 5 vowels(AEIOU) and 4 consonant(DCTN)
Total letters=9
For Consonant=5!(that is 4+1 letters. one comes from the vowels )
=5*4*3*2*1=120 ways
For Vowels=5!=5*4*3*2*1=120
Total number of ways=120*120=14400 ways
Option C
Answer: (C) 14400
Question: At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 80. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
(A) 2
(B) 3
(C) 9
(D) 15
(E) 30
Rationale: WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 80 customers per day.
30/10 = 3 days.Choice (A).
WITHthe formula, we can set up the following:
90 = (80x + 120)/(x + 1)
90x + 90 = 80x + 120
10x = 30
x = 3Answer Choice (B)
Answer: (B) 3
Question: Buses leave town B at 3 pm and every 10 hours after that. Buses leave town C at 4pm and every 15 hours after that. If the buses follow this schedule beginning on a Monday, what is the earliest day F on which the buses leave at the same time.
(A) F=Tuesday
(B) Wednesday
(C) Thursday
(D) Sunday
(E) F=The busses will never leave at the same time
Rationale: The answer is E.
I think the best way to do it is to look at the times on a 24 hour clock. Town B busses start at 15:00, and Town C start at 16:00. If you think about it that way, then for Town B you'd add 10 hours each time, and the number will always end in a 5. Town C you'd add 15 hours each time, and the numbers would always end in a 1 or 6. So you can see they'd never coincide.
Alternatively, you could see that if they left at the same time, they'd coincide every 30 hours, but since C is one hour ahead of B, every 30 hours C will still be one hour ahead of B.E
Answer: (E) F=The busses will never leave at the same time
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
(A) 800
(B) 760
(C) 650
(D) 698
(E) 690
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698
Ans is D
Answer: (D) 698
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
(A) 7
(B) 56
(C) 37
(D) 14
(E) 43
Rationale: We have two series here
34, 37, 40, 43, ... (Increase by 3)
7, 14, 28, ... (Multiply by 2)
Hence, next term is 28 × 2 = 56
Answer is B
Answer: (B) 56
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
(A) 892
(B) 989
(C) 1000
(D) 2729
(E) 1083
Rationale: Explanation:
Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer: Option C
Answer: (C) 1000
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"RAND" would be
(A) 1236
(B) 1365
(C) 1200
(D) 1526
(E) 1325
Rationale: R-1
A-2
N-3
D-6
so for mango the code is 1236
ANSWER:A
Answer: (A) 1236
Question: A guy was asked to specify his age in years. He said, “Take my age 4 years hence, multiply it by four and subtract four times of my age 4 years ago and you will know my age.” What was the age of that guy?
(A) 18
(B) 15
(C) 13
(D) 32
(E) 40
Rationale: Current age of the guy = A years.
Then, 4 (A + 4) – 4 (A – 4) = A
(4A + 16) – (4A – 16) = A
A = 32
D
Answer: (D) 32