divelab/Sys2Bench huggingface dataset:
Question: A certain car uses one gallon of gasoline every 34 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
Options:
A)15%
B)20%
C)22.5%
D)35%
E)50%
Rationale: 4 miles on the highway = 4/34 gallons;
4 miles in the city = 4/20 gallons;
Total = 4/34 + 4/20 = 27/85 gallons.
8 miles on the highway = 4/17 gallons .
The % change = (27/85 - 4/17)/(4/17) = 0.35.
Answer: D.
Answer: D
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Options:
A)7000
B)7029
C)2778
D)2800
E)2791
Rationale: Let the sum be Rs. x.
(x * 18 * 2)/100 - (x * 12 * 2)/100 = 840 => 36x/100 - 24x/100 =840
=> 12x/100 = 840 => x = 7000.Answer:A
Answer: A
Question: The sum of the first eight terms of a geometric series is 10,001 times the sum of its four terms . Find the common ratio of these series
Options:
A)1000
B)1
C)10
D)100
E)0.1
Rationale: a (r^ 8 - 1)/(r - 1 ) = 10001 a (r^ 4 –1)/(r – 1)
r ^4 +1 = 10001, r =10
ANSWER:C
Answer: C
Question: If A ^B means A raised to the power of B, in which of the following choices must P be greater than Q
Options:
A)7
B)1
C)2
D)3
E)4
Rationale: Option A is wrong as P = Q
Option B is wrong as PQ=Log0.92Log0.9=0.79139PQ=Log0.92Log0.9=0.79139
Option C is also wrong as aP>aQaP>aQ then P>Q if a > 1
Answer:B
Answer: B
Question: A committee of three people is to be chosen from 4 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Options:
A)16
B)24
C)26
D)30
E)32
Rationale: Total no of ways of choosing a committee = 8C3 = 56
No of ways to choose first couple = 4C1 = 4
No of ways to choose 1 person from remaining 6 = 6C1 = 6
Total number of ways of choosing a married couple to be in the same committee = 4*6=24
So, no of ways not choosing a married couple = 56-24 =32
ANS:E. 32
Answer: E
Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Options:
A)297
B)268
C)300
D)179
E)172
Rationale: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300
Answer: C
Answer: C
Question: In a certain kindergarten, half of the children are allergic to peanuts, 10 children are not allergic to cashew nuts, 10 children are allergic to both peanuts and cashew nuts, and 18 children are allergic to cashew nuts. How many of the kindergarten's children are NOT allergic to peanuts and are NOT allergic to cashew nuts?
Options:
A)14
B)10
C)8
D)6
E)4
Rationale: We are given children allergic to cashew nuts as 18 and not allergic to cashew nuts as 10, so total =10+18=28...
Children allergic to both are 10...
18 are allergic to cashew nuts, so and half or 28/2=14 are allergic to peanuts..
So children allergic to at least one of the TWO are 18+14-10=22..
Therefore children NOT allergic to any of the TWO are 28-22=6
ANSWER:D
Answer: D
Question: The average temperature for Tuesday, Wednesday and Thursday was 45°C. The average temperature for Wednesday, Thursday and Friday was 50°C. If the temperature on Friday be 53°C, what was the Temperature on Tuesday?
Options:
A)39°C
B)44°C
C)37°C
D)42°C
E)38c
Rationale: Explanation:
T + W + T = 45 × 3 = 135°C
W+ T+ F = 50 × 3 = 150°C
Also, temperature on Friday = 53°C
Temperature on Tuesday = 135 +53 - 150 = 38°C
Answer: Option E
Answer: E
Question: If a man walks at a rate of 10kmph, he misses a train by 14minutes. However, if he walks at the rate of 12kmph, he reaches the station 10minutes before the arrival of the train. Find the distance covered by him to reach the station.
Options:
A)6
B)15
C)12
D)4
E)8
Rationale: Let the required distance x km
difference in the times taken at two speeds = 12min = 1/5 hr
(x/10)-(x/12) = 1/10
x = 6
the required distance is 6 km
Answer is A
Answer: A
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Options:
A)1/13
B)3/13
C)5/13
D)4/13
E)2/13
Rationale: Clearly, there are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52
= 3/13
Answer should be B
Answer: B
Question: If S is the least common multiple of 90,196, and 300, which of the following is NOT a factor of S?
Options:
A)600
B)700
C)900
D)2,100
E)4,900
Rationale: IF S is the least common multiple of 90,196 and 300, which of the following is NOT a factor of S?
A- 600
B- 700
C- 900
D- 2100
E- 4900
90 = 2 * 3 * 3 * 5
196 = 2 * 2 * 7 * 7
300 = 2 * 2 * 3 * 5 * 5
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7 * 7
(TWO 2, TWO 3, TWO 5, TWO 7)
600 = 2 * 2 * 2 * 3 * 5 * 5
700 = 2 * 2 * 5 * 5 * 7
900 = 2 * 2 * 3 * 3 * 5 * 5
2100 = 2 * 2 * 3 * 5 * 5 * 7
4900 = 2 * 2 * 5 * 5 * 7 * 7=A
Answer: A
Question: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 50 miles per hour, how fast will it be falling after 12 seconds?
Options:
A)18 miles per hour
B)120 miles per hour
C)216 miles per hour
D)1080 miles per hour
E)5400 miles per hour
Rationale: Since Velocity is proportional to Time
Velocity =k*Timewhere k is the constant of proportionality
Time= 5 seconds
Velocity = 5k = 50 miles per Hour
i.e. k = 10
i.e. The relation between Velocity and Time becomes
Velocity =10*Time
Time= 12 seconds
Velocity = 10*12 = 120 miles per hour
Answer: Option B
Answer: B
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √6 ¤ √6 =
Options:
A)0
B)5
C)10
D)24
E)20
Rationale: X = √6 and Y also =√6
Applying the function (√6+√6)^2 - (√6-√6)^2 = (2√6)^2 - 0 = 4 x 6 = 24.
Note: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=√6 and y = √6 you get the answer 24.
Answer D
Answer: D
Question: Two sides of a triangle have lengths x and r and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to r ?
Options:
A)a) 2 : 3
B)b) 3 : 4
C)c) 4 : 3
D)d) 3 : 2
E)e) 2 : 1
Rationale: Ahhhh....my bad. Thank you, you're correct. 8x = 6r --> x/r = 3/4.
Actually B is the right answer.
Answer: B
Question: If (10^40) – 34 is written as an integer in base 10 notation, what is the sum of the digits in that integer?
Options:
A)354
B)254
C)344
D)364
E)324
Rationale: We know that (10^40) is ending 00, so (10^40) – 34=9....9966
total number of digits in (10^40) – 34 is 40, or 38 digits of 9 and two digits 6 and 6.
answer choice is 38*9+12=354
Answer is A 354
Answer: A
Question: There are 24 students in a class. In how many different ways can a committee of 3 students be formed?
Options:
A)1250
B)1800
C)2024
D)3256
E)2864
Rationale: 24C3 = 24*23*22 / 6 = 2024
The answer is C.
Answer: C
Question: How many pages the book have, if total 297 digits are used to form the page numbers?
Options:
A)135 pages
B)136 pages
C)137 pages
D)138 pages
E)139 pages
Rationale: First 9 pages .. 9 digits
next 90 pages .. 180 digits
next 36 pages ... 108 digits
----------------------
Total ...135 pages ...297 digits
ANSWER:A
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 80 sq. feet, how many feet of fencing will be required?
Options:
A)28
B)40
C)68
D)88
E)78
Rationale: We have: l = 20 ft and lb = 80 sq. ft.
So, b = 4 ft.
Length of fencing = (l + 2b) = (20 + 8) ft = 28 ft.
ANSWER:A
Answer: A
Question: X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Options:
A)14400
B)13400
C)11500
D)12500
E)13000
Rationale: Ratio of the investment
=21000:17500=210:175 =42:35=6:5
Share of X in the profit
=26400×6/11=2400×6=14400
Answer is A.
Answer: A
Question: In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 30 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Options:
A)0.56
B)0.62
C)0.68
D)0.74
E)0.8
Rationale: Let x be the total number of students.
The number students who are younger than 25 is 0.5*0.4x+0.7*0.6x = 0.62x
The answer is B.
Answer: B
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Options:
A)5/21
B)5/25
C)5/29
D)5/26
E)5/22
Rationale: Number of ways of (selecting at least two couples among five people selected)
As remaining person can be any one among three couples left.
Required probability
= (10 * 6)/252 = 5/21
Answer: A
Answer: A
Question: The ratio of men to women in the Snyder community choir is 4 to 6. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Options:
A)20
B)24
C)32
D)35
E)34
Rationale: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.
We're told that the ratio of the Men to Women in the Snyder choir is 4 to 6,so the number of men MUST be a multiple of 4 and the number of Women MUST be a multiple of 6. The question asks how many WOMEN are in the SNYDER choir, so the answer MUST be a multiple of 5. We can eliminate AnswersA,C, D and E (since they're NOT multiples of 6). That leaves only 1 possibilitiy
Ans:B
Answer: B
Question: What time will be taken by an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Options:
A)2 years
B)1 years
C)3 years
D)4 years
E)5 years
Rationale: Explanation:
P= Rs 900
Rate = 4.5*
SI= Rs 81
=> SI= Time*P*rate
calculating for rate,
=> Time= SI/rate*P
= 81/4.5%*900
=> 2 years
Thus, it will take 2 years to yield Rs 81.
ANSWER A
Answer: A
Question: A rectangular field is 18 yards long and 10 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)
Options:
A)630 ft
B)530 ft
C)430 ft
D)330 ft
E)228 ft
Rationale: 18 + 10 + 18 + 10 = 56 yds. for
outside of field.
10 + 10 = 20 yds. for dividing sections
56 + 20 = 76 yds. of fencing
76 x 3 = 228 ft. of fencing
correct answer E
Answer: E
Question: The sum of two numbers is 45 and their product is 1050. What will be the sum of their reciprocals?
Options:
A)(11/140)
B)(11/210)
C)(3/70)
D)(75/8)
E)None
Rationale: Solution
x+y=65 xy=1050 1/x+1/y=x+y/xy 45/1050 = (3/70).
Answer C
Answer: C
Question: A profit of Rs. 700 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Options:
A)s. 240
B)s. 140
C)s. 340
D)s. 50
E)s. 90
Rationale: A profit of Rs. 700 is divided between X and Y in the ratio of 1/2 : 1/3 or 3:2.
so profits are 300 and 200.
difference in profit share = 420-280=140
ANSWER:B
Answer: B
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Options:
A)7
B)6
C)8
D)9
E)2
Rationale: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer: C
Answer: C
Question: There are 1000 students in a school and among them 10 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Options:
A)1
B)10
C)100
D)50
E)20
Rationale: 10% of 1000 gives 100. so 100 attends chess and 10% of 100 gives 10.
so 10 enrolled for swimming
Answer: B
Answer: B
Question: One used-car salesperson receives a commission of $ 200 plus 3 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
Options:
A)$ 5,000
B)$ 6,000
C)$ 8,000
D)$ 10,000
E)$ 12,000
Rationale: This question can be solved by TESTing THE ANSWERS.
We're given the pay rate of two different salespeople who sell cars:
1) A commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price.
2) A straight commission of 6 percent of the car’s final sale price.
We're asked for the final sale price of a car if both salespeople would earn the SAME commission for selling it?
Let's TEST Answer B: $6,000
1st salesperson = $200 + .04(6,000 - 1,000) = $200 + .04(5,000) = $200 + $200 = $400
2nd salesperson = .06(6,000) = $360
These totals are NOT the same, so we can eliminate B. Looking at the two pay 'formulas', we can see that the 2nd salesperson will make more money than the 1st when the price of the car increases to a significant level, so we need a price that is HIGHER than $6,000. Since the difference in pay is relatively small in Answer B, we're likely looking for a number that is fairly close to $6,000 though...
Let's TEST Answer C: $8,000
1st salesperson = $200 + .04(8,000 - 1,000) = $200 + .04(7,000) = $200 + $280 = $480
2nd salesperson = .06(8,000) = $480
These totals are the SAME, so this must be the answer.
Final Answer:
D
Answer: D
Question: (3220 + 6160) / 28
Options:
A)380
B)350
C)335
D)310
E)None of these
Rationale: Explanation:
As per BODMAS rule, first we will solve the equation in bracket then we will go for division
= (9380)/28 = 335
Option C
Answer: C
Question: A sum of Rs.42000 is divided into three parts such that the simple interests accrued on them for three, six and seven years respectively may be equal. Find the amount deposited for 6 years.
Options:
A)9000
B)5000
C)14000
D)7000
E)6000
Rationale: Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 3 years 6 years and 7 years i.e. 3x = 6y = 7z = k.
L.C.M. of 3,6,7 = 42 So x:y:z: = 14000 : 7000 :6000
The amount deposited for 6 years = 7000
ANSWER:D
Answer: D
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Options:
A)165 m
B)220 m
C)260 m
D)224 m
E)239 m
Rationale: A
165 M
Speed = 54 x 5/18 = 15 m/s
Length of the bullet train = (15 x 25)m = 375 m.
Let the length of the platform be x metres.
Then, (x + 375)/36 = 15
--> x + 375 = 540
x = 165m. A
Answer: A
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a red card is drawn?
Options:
A)1/2
B)1/4
C)1/26
D)1/13
E)5/13
Rationale: The total number of cards is 52.
The number of red cards is 26.
P(red card) = 26/52 = 1/2
The answer is A.
Answer: A
Question: If the sum of three consecutive even numbers is 40 more than the average of these numbers, then the largest of these numbers is?
Options:
A)20
B)24
C)22
D)26
E)27
Rationale: Explanation:
Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).
x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 40
3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 120
9x + 18 = 3x + 126
6x = 108
x = 18
Therefore, the largest number is 22.
ANSWER C
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Options:
A)766
B)144
C)166
D)416
E)125
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.
Hence the total ways are 24 * 6 = 144.
Answer:B
Answer: B
Question: Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 180 envelopes
Options:
A)6 minutes
B)5 minutes
C)7 minutes
D)3 minutes
E)4 minutes
Rationale: earl takes 1 min. for 36 envelopes.
ellen takes 3/2 mins for the same. so ellen can stuff ((36)/(3/2)) in 1 min. i.e., 24 envelopes a min.
so both of them when work together can stuff 36+24=60 envelopes in 1 min.
for 180 envelopes they will take 180/60 mins. i.e., 3 mins.
ANSWER:D
Answer: D
Question: Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 3 specific shirts with 2 specific pants?
Options:
A)66
B)51
C)36
D)70
E)56
Rationale: Total no of combinations available is= 8 shirts X 9 pants = 72
Eliminate the 3shirts X 2 pants combo = 6 which gives.......>> 72-6=66
ANSWER: A
Answer: A
Question: Total 45 cows 15 cow gives each 2 liter milk 15 cow gives each 3/4 liter milk 15 cow gives each 1/4 liter milk this is split into 3 son per each 15 cows & 15 liter milk how?
Options:
A)10
B)12
C)15
D)16
E)18
Rationale: 15 cow 2 liter each =30 liter
15 cow 3/4 liter each= 3/4=0.75*15=11.25
15 cow 1/4 liter each = 1/4=0.25*15=3.75
add 30+11.25+3.75=45
milk split into 3 son each 15 liter then 45/3=15
ANSWER:C
Answer: C
Question: The speed of a boat in still water is 60kmph and the speed of the current is 5kmph. Find the speed downstream and upstream?
Options:
A)80,70 kmph
B)80,40 kmph
C)10,40 kmph
D)65,55 kmph
E)84,40 kmph
Rationale: Speed downstream = 60 + 5
= 65 kmph
Speed upstream = 60 - 5
= 55 kmph
Answer: D
Answer: D
Question: Roseline works 6 hours per day on Monday, Wednesday and Friday, and 8 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $272 per week. How much does she earn in dollars per hour?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: So, she works 18 hours in 3 days
So, she works 16 hours in 2 days
So in a week she works 34 hours ( 18 + 16 ) and earns $272
So, Hourly wage is 272/34 => 8
Hence answer will be (A) 8
Answer: A
Question: If x > y and y > z, which of the following represents the greatest number E?
Options:
A) x − z
B) x − y
C) y − x
D) z − y
E) z − x
Rationale: Because x>y>z
thus E= x- z wil lbe greatest
Ans: A
Answer: A
Question: The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What is the weight of the new person?
Options:
A)75 kg
B)85 kg
C)95 kg
D)65 kg
E)55 kg
Rationale: The total weight increase = (8 x 2.5) kg = 20 kg
weight of new person = (75 + 20) kg = 95 kg
The answer is C.
Answer: C
Question: Which is the integer that represents a sum of 3 consecutive even integers from the options given?
Options:
A)200
B)303
C)400
D)554
E)594
Rationale: Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)
Divisibility of 3: Sum of the digits of the number must be divisible by 3
Divisibility of 2: Unit digit of the number must be divisible by 2
A. 200NOT A MULTIPLE OF 3 SO RULED OUT
B. 303NOT A MULTIPLE OF 2 SO RULED OUT
C. 400NOT A MULTIPLE OF 3 SO RULED OUT
D. 554NOT A MULTIPLE OF 3 SO RULED OUT
E. 594A MULTIPLE OF BOTH 2 AND 3 SO THE CORRECT ANSWER!!!
Answer: E
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.24,000 earned at the end of 2years from the startingof the business?
Options:
A)s. 5,000
B)s. 5,500
C)s. 5,700
D)s. 6,500
E)s. 7,200
Rationale: A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.
B's share = Rs. 24000 x	3/10	= Rs. 7,200.
E
Answer: E
Question: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?
Options:
A)6 kmph
B)5 kmph
C)2 kmph
D)3 kmph
E)1 kmph
Rationale: Speed downstream = d/t = 75/(5) = 15 kmph
Speed upstream = d/t = 45/(5) = 9 kmph
The speed of the stream = (15 - 9)/2 = 3 kmph
Answer:D
Answer: D
Question: The price of a mobile was increased by 25 percent. The new price was then decreased by 10 percent. A single increase of what percent is equivalent to these two successive changes?
Options:
A)10%
B)15%
C)17.5%
D)25%
E)12.5%
Rationale: consider base price - $100
25% increase = 1.25*100 = $125
Then a 10% decrease on new price = 0.9* 125 = $112.5
so final price of radio - $112.5
therefore a 12.5% increase
correct option - E
Answer: E
Question: if the price of a book is first decreased by 30% and then increased by 40%, then the net change in the price will be :
Options:
A)10
B)388
C)37
D)29
E)2
Rationale: Explanation:
Let the original price be Rs. 100.
Decreased by 30% = 70
Then increased 40% on Rs 70 = 70 + 28 = 98
Net change in price = 100 - 98 = 2
Answer : E
Answer: E
Question: There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
Options:
A)45
B)57
C)76
D)91
E)98
Rationale: We first count the number of committee in which
(i). Mr. Y is a member
(ii). the ones in which he is not
case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.
Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).
We can choose 1 more in5+\inline {\color{Blue} 2C_{1}}=7 ways.
case (ii): If Mr. Y is not a member then we left with (6+4-1) people.
we can select 3 from 9 in \inline {\color{Blue} 9C_{3}}=84 ways.
Thus, total number of ways is 7+84= 91 ways.
D
Answer: D
Question: If a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours, what is the speed of the boat and the river?
Options:
A)4 , 3
B)4 , 4
C)3 , 3
D)4 , 5
E)4 , 2
Rationale: Explanation:
If x: speed of boats man in still water
y: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x â€“ y
x = (Ds + Us) / 2
y = (Ds â€“ Us) / 2
In the above problem Ds = 6 ; Us = 2
x = (6 + 2) / 2 = 8/2 = 4 km/hr
y = (6 - 2)/2 = 4/2 = 2 km/hr
ANSWER: E
Answer: E
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Options:
A)8
B)9
C)7
D)6
E)5
Rationale: 2x * x = 128 => x= 8
Answer: A
Answer: A
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Options:
A)13587
B)13529
C)27897
D)13500
E)27962
Rationale: P = (184*106) / [6 2/3 * 6 2/3 *(300*6 2/3)]
P = 13500
Answer:D
Answer: D
Question: When a=x+(2/x) and b=x-(2/x), (2^a^2)/(2^b^2)=?
Options:
A)2
B)256
C)8
D)16
E)32
Rationale: --> (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b).
Since a-b=4/x
and a+b=2x,
2^(a-b)(a+b)=2^(4/x)(2x)=2^8=256
Answer is B
Answer: B
Question: If the cost price of 55 articles is equal to the selling price of 50 articles, then what is the percent profit?
Options:
A)5%
B)10%
C)15%
D)20%
E)25%
Rationale: Let x be the cost price of one article.
Let y be the selling price of one article.
50y = 55x
y = 1.1x
The answer is B.
Answer: B
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 36490
. What percentage of profit did he make?
Options:
A)64%
B)49%
C)40%
D)70%
E)90%
Rationale: The total CP = Rs. 16000 + Rs. 6250
= Rs. 22250 and SP = Rs. 36490
Profit(%) = (36490 - 22250)/22250 * 100
= 64%
Answer:A
Answer: A
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Options:
A)11
B)98
C)30
D)88
E)12
Rationale: US = 25
DS = 35
M = (35 + 25)/2 = 30
Answer: C
Answer: C