mathewhe/aqua_rat huggingface dataset:
Question: A rectangular courtyard 3.78 metres long and 2.25 metres wide is to be paved exactly with square title, all of the same size. What is the largest size of the tile which could be used for the purpose ?
(A) 11 cms
(B) 21 cms
(C) 42 cms
(D) None of these
(E) 46 cms
Rationale: Solution
Largest size of the tile = H.C.F. of 378 cm an= 21 cm = 525 cm. Answer B
Answer: (B) 21 cms
Question: 30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
(A) 22 days
(B) 10 days
(C) 77 days
(D) 88 days
(E) 55 days
Rationale: Total work to be done = 30 * 40 = 1200
Let 20 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.
40P + (20 * 40) = 1200
40P = 400 => P = 10 days
Answer:B
Answer: (B) 10 days
Question: Five players forms a team joins in a shooting game. The best shooter scored 78 points. If he had scored 95 points, the average score for the team would have been 85. The number of points, the team scored, was
(A) 288
(B) 345
(C) 408
(D) 672
(E) 578
Rationale: Explanation :
Let the total score be x.
(x +95 - 78)/5 = 85 so x+17 = 425 so x=408
Answer : C
Answer: (C) 408
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 30% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
(A) 18%
(B) 20%
(C) 30%
(D) 23%
(E) Cannot be determined
Rationale: Answer: C.
Answer: (C) 30%
Question: David covered a distance of 50 miles on his first trip. On a later trip he traveled 150 miles while going three times as fast. His new time compared with the old time was:
(A) twice as much
(B) three times as much
(C) the same
(D) half as much
(E) a third as much
Rationale: Let t be the time of the first trip.
On the later trip, David can travel 150 miles in time t.
The answer is C.
Answer: (C) the same
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
(A) 7
(B) 6
(C) 9
(D) 4
(E) 2
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4.
Answer: D
Answer: (D) 4
Question: In a group of 28 junior high school students, 7 take French, 10 take Spanish, and 2 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
(A) 7
(B) 6
(C) 9
(D) 4
(E) 8
Rationale: C
9
Add 7 + 10 + 2 to get 19
Then subtract 21 from the total students ⇒ 28 – 19 = 9.
Answer is C
Answer: (C) 9
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters F long?
(A) 0.5
(B) 1
(C) 1.5
(D) 2
(E) 3
Rationale: Let x be the number of desks and bookcases that are placed along the library wall.
2x + 1.5x < 15
3.5x < 15
Since x is a non negative integer, the largest number x can be is 4.
When x is 4, the desks and bookcases take up 3.5 * 4 = 14m, leaving 1m of empty space.
Thus, I believe the answer is B) 1
Answer: (B) 1
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
(A) 54
(B) 4032
(C) 2,160
(D) 2,916
(E) 148,824
Rationale: We have the rectangle with dimensions 9*8 (9 horizontal dots and 8 vertical). AB is parallel to y-axis and AC is parallel to x-axis.
Choose the (x,y) coordinates for vertex A: 9C1*8C1;
Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);
Choose the y coordinate for vertex B (as x coordinate is fixed by A): 7C1, (8-1=7 as 1 vertical dot is already occupied by A).
9C1*8C*8C1*7C1=4032.
Answer: B.
Answer: (B) 4032
Question: If x^2 + 9/x^2 = 15, what is the value of x - 3/x
(A) 36
(B) 25
(C) 9
(D) 5
(E) 3
Rationale: To find : x-3/x. Let it be t.
=> x-3/x = t
=> (x^2 + 9/x^2) - 2*x*3/x = t^2 (Squaring both sides).
=> (15) - 2*3 = 9
=> t^2 = 9. Thus t=3 or t=-3.
Answer E
Answer: (E) 3
Question: Reeya obtained 55, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
(A) 70
(B) 75
(C) 73
(D) 85
(E) 90
Rationale: Explanation:
(55+67+76+82+85 / 5)=73
Option C
Answer: (C) 73
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3 :3/4, then the first part is:
(A) 402
(B) 408
(C) 48
(D) 24
(E) 204
Rationale: Given ratio = 1/2: 2/3:3/4
= 6 : 8 : 9.
Therefore, 1st part = Rs. (782 x 6/23)= Rs. 204.
Answer is E.
Answer: (E) 204
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
(A) 120
(B) 200
(C) 400
(D) 430
(E) 540
Rationale: Let x be the total grown quantity of wheat. According to the question
(7%of x)+ 64 31 %of x)+3 7x 31x => 100+ 6 = 400 + 3 1200 x = — 400 million tonnes rice grown
C
Answer: (C) 400
Question: The average of first five multiples of 7 is
(A) 21
(B) 6
(C) 9
(D) 12
(E) 15
Rationale: Solution
Average	= 7(1+2+3+4+5) / 5
= 105 / 5.
= 21
Answer A
Answer: (A) 21
Question: One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
(A) 12
(B) 27
(C) 98
(D) 27
(E) 29
Rationale: lb = 3 * 4 = 12
Answer: A
Answer: (A) 12
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 4 unit of standard deviation above the mean?
(A) -35.6 degrees Celsius
(B) -22.6 degrees Celsius
(C) -30.4 degrees Celsius
(D) -27.8 degrees Celsius
(E) -25.2 degrees Celsius
Rationale: Let us suppose mean = M and SD = d.
So, we are given M - 2d = -38.2
and M + 4d = -22.6
solving both the equations, we will get M = -33 an d = 2.6
So, we need to find out M + 4d = -33 + 4*2.6 = -22.6. Hence, B
Answer: (B) -22.6 degrees Celsius
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $167 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
(A) 1,650
(B) 1,670
(C) 1,890
(D) 1,701
(E) 3,210
Rationale: 10% ---- 167 millions
for 100% => ( 167 * 100% )/10% = 1670.
Option B.
Answer: (B) 1,670
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104,350,400 pounds, how many widgets have been unloaded?
(A) 2
(B) 3
(C) 4
(D) 25
(E) 20,870,080
Rationale: We need to know the number of widgets (which weigh 5 pounds each). The number of times that 5 divides the number is related to the number of times that 10 divides the number.
When we divide 104,350,400 by 100, we get 104,350,400 = 1,043,504 * 5^2 *2^2.
1,043,504 is not divisible by 5, thus there are 2 widgets.
The answer is A.
Answer: (A) 2
Question: 5800 * 99
(A) 574580
(B) 574200
(C) 584250
(D) 576460
(E) None of these
Rationale: Explanation:
5800 * (100 - 1)
= 580000 - 5800
= 574200
Option B
Answer: (B) 574200
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
(A) 1345
(B) 1250
(C) 1540
(D) 1600
(E) 1635
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Large number = 270+1365 = 1635
E
Answer: (E) 1635
Question: Departments A, B, and C have 10 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
(A) 19,000
(B) 40,000
(C) 100,000
(D) 190,000
(E) 400,000
Rationale: Take the task of creating the task force and break it into stages.
Stage 1: Select one person from department A
There are 10 people to choose from, so we can complete stage 1 in 10 ways
Stage 2: Select one person from department B
There are 10 people to choose from, so we can complete stage 2 in 10 ways
Stage 3: Select one person from department C
There are 10 people to choose from, so we can complete stage 3 in 10 ways
Stage 4: Select 2 people from department D
Since the order in which we select the 2 people does not matter, we can use combinations.
We can select 2 people from 20 people in 20C2 ways (190 ways)
So, we can complete stage 4 in 190 ways
By the Fundamental Counting Principle (FCP), we can complete all 4 stages (and thus create a task force) in (10)(10)(10)(190) ways (= 190,000 ways)
Answer:D
Answer: (D) 190,000
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
(A) 28
(B) 26
(C) 265
(D) 35
(E) 27
Rationale: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
Answer: D
Answer: (D) 35
Question: In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women?
(A) 18
(B) 20
(C) 22
(D) 24
(E) 26
Rationale: 6C3
= 6!/(3! . 3!)
= (6 × 5 × 4)/(3 × 2)
= 5 × 4 = 20.
B)
Answer: (B) 20
Question: What will be the reminder when (13^13+13) is divided by 14?
(A) 16
(B) 14
(C) 12
(D) 18
(E) 21
Rationale: (x^n+1) will be divisible by (x+1) only when n is odd;
(13^13+1) will be divisible by (13+1);
(13^13+1)+12 when divided by 14 will give 12 as remainder.
Correct Option : C
Answer: (C) 12
Question: The average age of 42 students in a group is 16 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
(A) 31
(B) 56
(C) 41
(D) 59
(E) None
Rationale: Sol.
Age of the teacher = ( 43 Ã— 17 â€“ 42 Ã— 16 ) years = 59 years.
Answer D
Answer: (D) 59
Question: What is the probability that the sum of two dice will yield a 6, and then when both are thrown again, their sum will again yield a 6? assume that each die has 5 sides with faces numbered 1 to 5.
(A) 1/144
(B) 1/25
(C) 1/12
(D) 1/6
(E) 1/3
Rationale: Solution -
Rolling dices is an independent event.
The combinations to get 6 are (1,5), (5,1), (2,4), (4,2), (3,3) and total combinations of both dices is 25.
The probability of getting 6 in first attempt is 5/25=1/5.
Probability of getting 6 again in second attempt = (1/5)*(1/5) = 1/25. ANS B
Answer: (B) 1/25
Question: A fair coin is tossed 10 times. If the coin lands tails 8 out of the 10 times, what is the probability that the coin will land on heads on the next toss?
(A) 4/5
(B) 2/5
(C) 1/3
(D) 2/10
(E) 5/10
Rationale: As the given coin is a fair coin, the probability of getting tail on the next toss is independent of the out comes in the previous 10 tosses. So probability = 1/2 => 5/10
Answer:E
Answer: (E) 5/10
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
(A) 1108
(B) 1683
(C) 2007
(D) 3363
(E) 1436
Rationale: LCM of 5, 6, 7 and 8 = 840
Hence the number can be written in the form (840k + 3) which is divisible by 9.
If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9.
If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9.
Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
ANSWER:B
Answer: (B) 1683
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.2 years, The ratio of the number of boys to the number of girls in the class is
(A) 7 : 3
(B) 2 : 3
(C) 9 : 3
(D) 6 : 3
(E) 1 : 1
Rationale: Explanation:
Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.2 = (k + 1) * 15.8
<=> (16.4 - 15.8) k = (15.8 - 15.2) <=> k = 0.6/0.6 = 1/1.
Required ratio = 1/1 : 1 = 1 : 1.
Answer: E
Answer: (E) 1 : 1
Question: A library has an average of 400 books on Sundays and 240 on other days. The average number of books per day in a month of 30 days beginning with a Sunday is?
(A) 50
(B) 55.5
(C) 65
(D) 75.5
(E) 78.5
Rationale: Since the month begins with a Sunday, to there will be five Sundays in the month.
Required average
= (400 x 5 + 240 x 25)/30
=	8550
30
= 75.5
D
Answer: (D) 75.5
Question: X is a positive integer. When X + 1 is divided by 7, the remainder is 3. What is the remainder when N is divided by 7?
(A) 6
(B) 5
(C) 4
(D) 3
(E) 2
Rationale: N+1 = 7a+3
i.e. N+1 = 10, 17, 24, 31, ... etc.
i.e. N = 9, 16, 23, 30, ... etc.
When N is divided by 7 Remainder is always 2
Answer: E
Answer: (E) 2
Question: complete the numerical series with the correct number
5+3+4=152032
9+2+9=188197
8+6+7=485698
5+4+4=202036
9+5+2= ?
(A) 451858
(B) 454586
(C) 454585
(D) 454386
(E) 444586
Rationale: 9+5+2=451858
Answer : A
Answer: (A) 451858
Question: Chandu started a business investing Rs. 70,000. Firoz joined him after 6 months with an amount of Rs. 1,05,000 and Pavan joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Chandu, Firoz and Pavan respectively, 3 years after Chandu started the business ?
(A) 12:15:16
(B) 13:16:21
(C) 16:15:12
(D) 10:14:19
(E) None of these
Rationale: Explanation :
Chandu : Firoz : Pavan = (70000*36) : (105000*30) : (140000*24)
= 12 : 15 : 16
Answer : A
Answer: (A) 12:15:16
Question: A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 4 points if you must draw exactly 2 “low” cards?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Great question Ravih. This is a permutations problem (order matters) with repeating elements. Given thatlowcards are worth 1 pt andhigh cards2 pts, and you must draw 3 low cards, we know that you must also draw 1 high card. The formula for permutations problems with repeating elements isN!/A!B!...where N represents the number of elements in the group and A, B, etc. represent the number of times that repeating elements are repeated. Here there are 4 elements and thelowcard is repeated 3 times. As a result, the formula is:
3!/2! which represents (3*2*1)/(2*1) which simplifies to just 4, giving you answer C.
Answer: (C) 3
Question: six friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $420. If one of the friends had a coupon for 20% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
(A) $90
(B) $70
(C) $56
(D) $37
(E) $35
Rationale: 420 * 0,20 = 84
420 - 84 = 336
336 /6 = 56
Answer C
Answer: (C) $56
Question: The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining two number ?
(A) 4.5
(B) 4.6
(C) 4.7
(D) 4.8
(E) None of these
Rationale: solution:
Sum of the remaining two numbers = (3.95 × 6) - [(3.4 × 2) + (3.85 ×2)]
=23.70 -(6.8 + 7.7) = 23.70 - 14.5 = 9.20.
∴ Required average =9.2/2 = 4.6 Answer B
Answer: (B) 4.6
Question: An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
(A) 18
(B) 30
(C) 64
(D) 120
(E) 216
Rationale: Arrangement means permutations questions..
6P3 = 6!/3! = 120
.
ANS option D is correct answer..
Answer: (D) 120
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
(A) 13
(B) 18
(C) 40
(D) 25
(E) 30
Rationale: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
C
Answer: (C) 40
Question: What percentage of simple interest per annum did Anand pay to Deepak?
I.Anand borrowed Rs. 8000 from Deepak for four years.
II.Anand returned Rs. 8800 to Deepak at the end of two years and settled the loan.
(A) I alone sufficient while II alone not sufficient to answer
(B) II alone sufficient while I alone not sufficient to answer
(C) Either I or II alone sufficient to answer
(D) Both I and II are not sufficient to answer
(E) Both I and II are necessary to answer
Rationale: Explanation:
Let the rate be R% p.a.
I gives, P = Rs. 8000 and T = 4 years.
II gives, S.I. = Rs. (8800 – 8000) = Rs. 800.
R =( 100 x S.I / P x T ) = ( 100 x 800 / 8000 x 4 )% = 2 1/2 % p.a
Thus, I and II both are needed to get the answer.
answer is (E).
Answer: (E) Both I and II are necessary to answer
Question: A computer can perform y calculations in s seconds. How many minutes will it take the computer to perform k calculations?
(A) 60ks/y
(B) ks/y
(C) ks/60y
(D) 60y/ks
(E) k/60ys
Rationale: As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.
We're told that a computer can perform y calculations in S seconds.
Let's TEST....
y = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute
We're asked how many MINUTES it will take to perform K calculations.
Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...
K = 80
So we're looking for an answer that = 2 when y = 2, S = 3 and K = 80
Answer A: 60KS/y = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: KS/y = (80)(3)/2 = 120 This is NOT a match
Answer C: KS/60y = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60y/KS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: K/60yS = 80/(60)(2)(3) = a fraction. This is NOT a match
C
Answer: (C) ks/60y
Question: 9000 + 16 2/3 % of ? = 10500
(A) 2387
(B) 2888
(C) 9000
(D) 2837
(E) 2271
Rationale: Explanation:
9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500
50/(3 * 100) of ? = 1500 => ? = 1500 * 6
? = 9000
Answer: C
Answer: (C) 9000
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 5 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
(A) 1/3
(B) 2/5
(C) 3/7
(D) 4/7
(E) 5/11
Rationale: The time from beginning of March to the end of September is 7 months.
If x is the average monthly tip for all months other than August then his August month tip will be 5*x
His total tip for the 7 months = 6*(average tip for the months other than August) + 5x
=11x
August tips as a fraction of total tips = 5x/11x =5/11. So E
Answer: (E) 5/11
Question: In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/6 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) 70
(C) 10
(D) 105
(E) 140
Rationale: 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 1/5 of all one-bedroom: 1/6*{All one bedroom} = 40 --> {All one-bedroom} = 240.
{All two-bedroom} = 490 - 240 = 250.
Two-bedroom not rented = 250 - 240 = 10.
Answer: C.
Answer: (C) 10
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
(A) 22 1/7 %
(B) 22 3/2 %
(C) 22 1/8 %
(D) 22 1/2 %
(E) 22 1/2 %
Rationale: 9 = (1*40*R)/100
R = 22 1/2 %
Answer:D
Answer: (D) 22 1/2 %
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
(A) 33
(B) 38
(C) 45
(D) 49
(E) 52
Rationale: (A)
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33
Answer: (A) 33
Question: What is the difference between the place value of 6 in the numeral 7669?
(A) 150
(B) 160
(C) 180
(D) 190
(E) 540
Rationale: 600 - 60 = 540
E
Answer: (E) 540
Question: For what values of k will the pair of equations 4(3x + 4y) = 48 and kx + 12y = 30 does not have a unique solution?
(A) 12
(B) 9
(C) 3
(D) 7.5
(E) 2.5
Rationale: we have 2 equations
1. 4(3x + 4y) = 48 --> 3x + 4y = 12 -- > 9x + 12y = 36
2. kx + 12y = 30
substract 1-2, we get (9-K)x = 6
i.e. x = 6/(9-k)
then, by looking at options, we get some value of x except for B. When we put k=9, x becomes 6/0 and hence answer is B
Answer: (B) 9
Question: If it takes a tub 3 minutes to drain 6/7 of its content, how much more time will it take for the tub to be empty?
(A) 30 seconds
(B) 1 minute, 12 seconds
(C) 1 minute, 50 seconds
(D) 2 minutes, 14 seconds
(E) 4 minutes, 12 seconds
Rationale: If 6/7 of tub's content is drained 1/7 th of tub still needs to be drained.
If it takes 3 minutes to drain 6/7 th of tub it takes 3*(7/6) minutes to drain the entire tub and 3*(7/6)*(1/7) min to drain 1/7 th of the tub which is 6/5 minutes or 0.5 minutes or 30 seconds
So answer is A
Answer: (A) 30 seconds
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
(A) 6
(B) 8
(C) 6
(D) 5
(E) 4
Rationale: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer:B
Answer: (B) 8
Question: In what time will a train 120 meters long completely pass an electric pole, if it travels at a speed of 60kmph.
(A) 6.18
(B) 5.18
(C) 4.18
(D) 4.18
(E) 7.18
Rationale: Sol.
Speed = [ 60x5/18] m/sec =16.7 m / sec.
Time taken = (120/16.7)sec = 7.18 sec.
Answer E
Answer: (E) 7.18
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $250,000, one of them is $300,000 house, two houses are between $500,000 and 800,000, what is the range of his revenue?
(A) 750
(B) 800
(C) 850
(D) 860
(E) 880
Rationale: (1) 2(150)+300+2(500) = 1600
1600*0.95=1520 (Revenue considering the minimum values with the discount)
(2) 2(250)+300+2(800) = 2400 (Revenue considering the maximum values without the discount)
So, the the revenue range could be = 2400 - 1520 = 880
(Answ E)
Answer: (E) 880
Question: In how many ways can the letters of word "EDUCATION" be arranged such that NO two vowels appear together?
(A) 9!
(B) 5!*4!
(C) 5!*5!
(D) 5!*4!*2!
(E) 6!*4!
Rationale: No 2 vowels together = the only arrangement possible will be V C V C V C V C V (with V=vowel, C=consonant). This is true as we have 5 vowels and 4 consonants and any other combination will force us to pair 2 vowels together.
Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 5!*4! ----> B is the correct answer.
Answer: (B) 5!*4!