divelab/Sys2Bench huggingface dataset:
Question: A shopkeeper fixes the marked price of an item 32% above its cost price. The percentage of discount allowed to gain 7% is
Options:
A)18.94%
B)18.93%
C)18.92%
D)18.91%
E)None of these
Rationale: Explanation:
Let the cost price = Rs 100
then, Marked price = Rs 132
Required gain = 7%,
So Selling price = Rs 107
Discount = 132 - 107 = 25
Discount% = (25/132)*100 = 18.93%
Option B
Answer: B
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount?
Options:
A)1240
B)1120
C)1190
D)1290
E)None of these
Rationale: Explanation :
TD = (BG ×100)/TR = (540×100)/(6×12) = (90×100)/12 = (15×100)2/ = Rs. 750
BG = BD – TD
=> 540 = BD - 750
=> BD = 540 + 750 = 1290 Answer : Option D
Answer: D
Question: If the units digit of n^33 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Options:
A)Only I
B)Only II
C)Only III
D)I and II
E)II and III
Rationale: Given n^33 units digit is 7.
If at all we have to get 7 as units digits only 3 and 7 series has 7
3^! = 3 , 3^2 = 9 , 3^3 = 27 , 3^4 = 81
7^1 = 7, 7^2 = 49 , 7^3 = 3 (units ) , 7^4 = 1 (units)
We have n^33 - then divide 33 by 4 = remainder 1.
Then we have for only 7^1 - we have units digit as 7.
Hence 47^33 = 7 (units).
Option C is correct answer
Answer: C
Question: √(49)2
Options:
A)7
B)14
C)49
D)21
E)None of these
Rationale: explanation
√(49)2 =?
or, ? = 49
Answer C
Answer: C
Question: If the sales tax be reduced from 4 (1/4) % to 1 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 4500?
Options:
A)Rs. 156.66
B)Rs. 150.23
C)Rs. 123.75
D)Rs. 135.06
E)None of these
Rationale: Explanation:
Required difference = (4 (1/4) of Rs. 4500) - (1(1/2) of Rs.4500)
= (17/4 – 3/2) % of Rs. 4500
= (11/4) x (1/100) x 4500
= Rs. 123.75
ANSWER C
Answer: C
Question: Sixteen percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Options:
A)15%
B)20%
C)25%
D)63%
E)75%
Rationale: Initially 84% and 16% split
80% is further divided as 25% and 75%
Q is asking about that 75%
let total be '100' then that 75% is (3/4)∗84
so, the required % is [(3/4)∗84/100]∗100 = 63%
ANSWER:D
Answer: D
Question: If the average (arithmetic mean) of five consecutive negative integers is 12k – 1, what is the difference between the greatest and least of the five integers?
Options:
A)4K
B)4k^2 -4k
C)4-4k
D)4
E)4k+4
Rationale: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 12k - 1
=> n = 60k - 5
Greatest = n + 2 = 60k - 5 + 2 = 60k - 3
Least = n - 2 = 60k - 5 - 2
=> Difference = 60k - 3 - (60k - 7)
= 4
Answer - D
Answer: D
Question: The maximum length of a pencil that can be kept in a rectangular box of dimensions 8cm×6cm×2cm, is :
Options:
A)2√13 cm
B)2√14 cm
C)2√26 cm
D)10√2 cm
E)None of these
Rationale: Explanation:
Length of pencil = √(8)2+(6)2+(2)2 cm = √104 cm = 2√26 cm
Correct Option: C
Answer: C
Question: An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 2?
Options:
A)A)1500
B)B)2000
C)C)2500
D)D)3000
E)E)4000
Rationale: Let the number of meters to be examined be x
Then, 0.05% of x = 2
(5/100)*((1/100)*x = 2
x = 4000
Answer is E
Answer: E
Question: the average distance between the sun and a certain planet is approximatly 3.7 10^13 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Options:
A)9.5 x(10)^7
B)9.5 x(10)^9
C)9.5 x(10)^4
D)9.5 x(10)^3
E)9.5 x(10)^8
Rationale: No need to solve entire problem.
Distance in KM = 37*(10)^13/39*(10)^4 which is -370*(10)^12/39*(10)^4 = 9.5 x(10)^8
Answer : E
Answer: E
Question: In the Hillside summer camp there are 50 children. 85% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Options:
A)20.
B)45.
C)50.
D)30.
E)25.
Rationale: Given there are 50 students , 84% of 50 = 42 boys and remaining 8 girls.
Now here 84% are Boys and 16% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 8%..
If we add 50 to existing 45 then the count will be 92 and the girls number will be 8 as it.
Now boys are 92% and girls are 8%. ( out of 100 students = 92 boys + 8 girls ).
IMO option C is correct.
Answer: C
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?
Options:
A)6620
B)6627
C)6626
D)6622
E)6629
Rationale: A = 20000(11/10)3
= 26620
= 20000
----------
6620
Answer:A
Answer: A
Question: There are some birds in cage, 1/3rd fly away . Then 2/5th of the remaining left the cage , then 2/3rd of the remaining left the cage . At last 8 were remaining . How many birds were in total ?
Options:
A)60
B)27
C)28
D)26
E)91
Rationale: Sol:
If x birds were there in total , then
x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 8
x×2/3 × 3/5 × 1/3 = 8
x = 60
Answer:A
Answer: A
Question: David obtained 74, 65, 82, 67 and 90 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
A)A)87
B)B)99
C)C)68
D)D)82
E)E)76
Rationale: Average = (74 + 65 + 82 + 67 + 90)/5
= 380/5
= 76.
Answer:E
Answer: E
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 4000, the number of valid votes that the other candidate got, was:
Options:
A)3500
B)1200
C)1650
D)3700
E)1800
Rationale: Number of valid votes = 80% of 4000 = 3200.
Valid votes polled by other candidate = 45% of 4000
=(45/100)X4000 =1800
ANSWER = E
Answer: E
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Options:
A)5.24%
B)5.35%
C)6.125%
D)7.45%
E)8%
Rationale: Total Car.29.10 i.e., Honda +non Honda = 29400 Given: Whim. tractor .150W
Now,5346 of 2..00 = Honda +Red Non-Honda 29400 .:4 =15582 Thus...El Mall... 1.0 Now Honda 15582 flow, Non-. Honda =15582 - 15.582-14700=8B2 96 non-Honda =1=1.100 = 6.125%
C
Answer: C
Question: Look at this series: V, VIII, __, XIV, XVII, XX, ... What number should fill the blank?
Options:
A)IX
B)XXIII
C)XV
D)XI
E)None
Rationale: Explanation: This is a simple addition series; each number is 3 more than the previous number.
Answer: D
Answer: D
Question: A train passes a station platform in 39 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)276 m
B)279 m
C)240 m
D)207 m
E)285 m
Rationale: Speed = [54 * 5/18] m/sec
= 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 15
x + 300 = 585
x =285m.
Answer: E
Answer: E
Question: An intern wants to label folders with numbers using digit stickers only. If the intern uses 999 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).
Options:
A)287
B)369
C)370
D)371
E)430
Rationale: For the first 9 folders we need 9 stickers.
For the next 90 we need 2 stickers each or 180 stickers.
For the next 900 folders we need 3 stickers each.
The first 99 folders correspond to 189 stickers.
Subtract 189 from the total number of stickers (999).
This leaves 810 stickers for folders that use 3 stickers each. So, divide 810 by 3 to get 270 folders.
Add 99 folders to 270 folders to get the total number of folders, 369.
Answer: B
Answer: B
Question: A train 440 meters long is running with a speed of 65 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
A)40.338 sec
B)41.338 sec
C)42.338 sec
D)40 sec
E)34.338 sec
Rationale: D = 440 + 180 =620
S = 65 * 5/18 = 18.05556 mps
T = 620/18.05556 =34.33846
E
Answer: E
Question: If x is an integer, then x(x - 1)(x - y) must be evenly divisible by three when y is any of the following values EXCEPT
Options:
A)-4
B)-2
C)-1
D)2
E)5
Rationale: here's another approach
x(x - 1)(x - y)
all three are consecutive, so the product MUST be a multiple of 3
we don't know the value of y just yet ... so let's extend the series ... the extension itself reveals the answers
..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..
we can see the possible values of y too from the series
y = 2 OR 2+3n [25]
y = -1 OR -1+3n [-1-4]
B i.e. -2 does not fit in any value of y
so B it is
Answer: B
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Options:
A)1.25%
B)3.75%
C)6.25%
D)6.67%
E)11.7%
Rationale: The amount of sodium chloride is 0.05*10,000 = 500 gallons
500/8000 = 1/16 = 6.25%
The answer is C.
Answer: C
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Options:
A)1342
B)1543
C)1578
D)1654
E)1365
Rationale: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.
=. Required number of ways = 14C10 = 14C4
= 14!/4!x19! = 1365
E
Answer: E
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Options:
A)250/3
B)500/3
C)400
D)480
E)600
Rationale: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?
W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.
If X = 200 then Y = 600
ANSWER:E
Answer: E
Question: 6) A marketing firm determined that , of 300 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Options:
A)a) 15
B)b) 20
C)c) 30
D)d) 40
E)e) 45
Rationale: 220 = At least one of Soap A or B
Both brands = x
Brand B = 3x
=> 60 + x + 3x = 220
=> 4x = 160
=> x = 40
Answer - D
Answer: D
Question: There are 6 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Options:
A)1/9
B)2/9
C)3/5
D)4/9
E)2/3
Rationale: total 10 from take one.
10c1=10
red 6 from one
6c1=6
6/10= 3/5
ANSWER:C
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Options:
A)76
B)28
C)27
D)80
E)25
Rationale: 1/2 * d (10 + 6) = 640
d = 80
Answer: D
Answer: D
Question: If the a radio is sold for Rs 490 and sold for Rs 465.50.find loss%.
Options:
A)4%
B)5%
C)6%
D)3%
E)5.5%
Rationale: sol. cp=rs490,sp= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
Answer is B.
Answer: B
Question: Find the value of 72519 x 9999 = m?
Options:
A)455465473
B)654676854
C)667676753
D)725117481
E)764534522
Rationale: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Answer: D
Question: A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability Q that a + b is prime?
Options:
A) 0
B) 1/12
C) 5/12
D) 7/18
E) 4/9
Rationale: Total # of outcomes is 6*6=36;
Favorable outcomes:
a-b --> prime
1-1 --> 2;
1-2 --> 3;
2-1 --> 3;
1-4 --> 5;
4-1 --> 5;
2-3 --> 5;
3-2 --> 5;
1-6 --> 7;
6-1 --> 7;
2-5 --> 7;
5-2 --> 7;
3-4 --> 7;
4-3 --> 7;
6-5 --> 11;
5-6 --> 11.
Total of 15 favorable outcomes
Q=15/36.
Answer: C.
Answer: C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Options:
A)3.5 gallons
B)2.7 gallons
C)5.7 gallons
D)4.5 gallons
E)7.5 gallons
Rationale: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 180 kilometers?
180 ÷ 40 = 4.5 × 1 gallon = 4.5 gallons
correct answer is D) 4.5 gallons
Answer: D
Question: The number of boys in a class is (7/2) times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Options:
A)A)48
B)B)54
C)C)42
D)D)40
E)E)38
Rationale: Explanation:
Let number of girls = x and number of boys = 3.5x.
Then, 3.5x + x = 4.5x = total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 4.5
Answer: B
Answer: B
Question: What is the rate percent when the simple interest on Rs.1500 amount to Rs.250 in 5 Years?
Options:
A)3.33%
B)6%
C)2%
D)95%
E)1%
Rationale: Interest for 5yrs = 250
Interest for 1yr = 50
Interest rate = 50/1500 x 100 = 3.33%
Answer : A
Answer: A
Question: If 40% of a number is 16, then the number is
Options:
A)number is 60
B)number is 70
C)number is 90
D)number is 40
E)None of these
Rationale: Solution:
Let "a" be the number we seek. We get
40% × a = 16
2 × 40% × a = 2 × 16 = 32
80% × a = 32
10% × a = 32 : 8 = 4
100% × a = 4 × 10 = 40
a = 40
Answer D
Answer: D
Question: In how many ways can the letters of the word CAVES be arranged in a row so that the vowels appear in alphabetic order?
Options:
A)60
B)30
C)120
D)240
E)180
Rationale: Two letters can be arranged in 2! ways.
only one combination EIU is required.
5 letters can be arranged in 5! ways.
thus 5!/ 2! * 1 = 60.
A
Answer: A
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Options:
A) 120
B) 150
C) 180
D) 240
E) 600
Rationale: This question wasn't particularly grueling, but I think it's the first where I had the opportunity to solve it via theory andinspectionthat many on this board suggest as strategy on the GMAT. It actually came to me by accident. Basically, if we thought that the 3 packets of powder were included in the 12 ounces of water, that would mean we would need 150 packets of smoothie mix (along with 12(150) ounces of water for a total of 150 packets. However, we know, after a more careful reading of the stimulus, that the 3 ounces are NOT included in the 12 ounces. As such, the answer has to be LESS than 150 packets, since 150 would be too much powder considering you already have 150(12) ounces of water and need less packets than water to make a smoothie. As such, the only answer less than 150 is 120, A. Does this make sense? Or am I way off base?
C
Answer: C
Question: A palindrome is a number that reads the same forward and backward, such as 616. How many even, 4-digit numbers are palindromes?
Options:
A)40
B)45
C)50
D)90
E)2500
Rationale: First recognize you only need to consider the first two digits (because the second two are just the first two flipped)
There are 90 possibilities for the first two digits of a 4 digit number, 10-99 inclusive. Everything starting with a 2,4,6,8 will be odd, which is 4/9ths of the combinations.
4/9*90 = 40
ANSWER:A
Answer: A
Question: David was born 8 years after his father's marriage. His mother is 4 years younger than his father but 30 years older than David who is 8 years old. At what age did the father get married ?
Options:
A)24 years
B)26 years
C)23 years
D)20 years
E)18 years
Rationale: Explanation:
David's present age = 8 years.
His mother's present age = (30 + 8) years = 38 years.
His father's present age = (38 + 4) years = 42 years.
His father's age at the time of David's birth = (42 - 8) years = 34 years.
Therefore David's father's age at the time of marriage = (34 - 8) years = 26 years.
Answer: B
Answer: B
Question: I sold a book at a profit of 10%. Had I sold it for $150 more, 15% would have been gained. Find the cost price?
Options:
A)$2000
B)$2500
C)$3000
D)$3120
E)$1540
Rationale: 115% of cost - 110% of cost = $150
5% of cost = $150
cost = 150*100/5 = $3000
Answer is C
Answer: C
Question: A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?
Options:
A)1/68
B)60/68
C)13/68
D)13/48
E)1/48
Rationale: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 1
Probability of choosing 2nd card of the same type: 5/17
Probability of choosing 3rd card of the same type: 4/16
Probability of choosing 4th marble of the same type: 3/15
Multiply and you get 1/68
Answer A.
Answer: A
Question: Faiza has 8 purses, she gives 3 purse as gift. Now how many purse she have in that?
Options:
A)2
B)5
C)11
D)9
E)4
Rationale: 8-3=5. Answer is B
Answer: B
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 7.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
Options:
A)68.8
B)73.6
C)75.2
D)76.16
E)81.6
Rationale: Degree of difficulty of dive = 3.2
Scores are 6.0 , 7.5 , 8.0 , 8.5 and 9.0
We can drop 6.0 and 9.0
Sum of the remaining scores = (7.5+7.8+8.5)= 23.8
Point of value of the dive = 23.8*3.2 =76.16
Answer D
Answer: D
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Options:
A)23/35
B)23/32
C)23/329
D)23/29
E)23/291
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer: A
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5 sec
B)1.3 sec
C)7.6 sec
D)10 sec
E)3.6 sec
Rationale: Answer: Option A
Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Answer: A
Question: Convert 250 inches into centimeter?
Options:
A)635cm
B)620cm
C)650cm
D)610cm
E)654cm
Rationale: 1 inch = 2.54cm
250 inches = 250*2.54 = 635cm
Answer is A
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 25 percent, what is the discount rate on Pony jeans?
Options:
A)9%
B)10%
C)11%
D)12%
E)25%
Rationale: x discount on Pony jeans, (0.25-x) discount on Fox jeans.
Set the equation: 3*15(0.25-x)+2*18x=9 --> x=0.25=25%
Answer: E.
Answer: E
Question: If 12 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is
Options:
A) $1.00
B) $1.25
C) $5.00
D) $9.00
E) $20.00
Rationale: D for me
11 people with 1$ each -> maximum = 9
Answer: D
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 7: 25. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Options:
A)5 kg
B)6.625 kg
C)6.25 kg
D)6.35 kg
E)6.55 kg
Rationale: sodium chloride in 100 kg = 7/32 x 100 = 21.875 kg
ammonium in 100 kg = 25/32 x 100 = 78.125 kg
Now 78.125 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 78.125 = 28.125
Amount to be added = 28.125 - 21.87 5= 6.25 Kg
ANSWER:C
Answer: C
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric?
Options:
A)$8,617
B)$8,710
C)$8,810
D)$8,835
E)$8,915
Rationale: for first 2000 metres he does not get any discount
amount = 2*2000 = $4000
for next 1500 metres he gets 5% discount
amount = 2*1500 - (1/20)*3000 = $2850
for the nest 1000 metres he gets 7% discount
amount = 2*1000 - 7*20 = $1860
total amount = $4000 + $2850 + $1860 = $8710
ANSWER:B
Answer: B
Question: A cycle is bought for Rs.900 and sold for Rs.990, find the gain percent?
Options:
A)39%
B)20%
C)23%
D)74%
E)10%
Rationale: 900 ---- 90
100 ---- ? =>
10%
Answer:E
Answer: E
Question: There are equal numbers of male and female horses in a ranch.The number of brown horses is 30% more than the number of female brown horses.What percentage of female horses are brown if the total number of male horse is ten times more than the number of brown male horses.
Options:
A)30
B)33.3
C)55.1
D)32.1
E)20
Rationale: Since we are dealing in percentage let us pick 100 as the number of brown female horses.
That means that the total number of brown horses is= 130 (30% more),
therefore the number of brown male horses is 30.
The total number of male horses is 10x the number of brown male= 30*10=300 male horses.
female horses are 50% of the horses, and because there are 300 male horses, then there must also be 300 female horses.
Therefore percentage of female horses that are brown= 100/300*100=33.3
Correct option is B
Answer: B
Question: Which one of the following is a composite number?
Options:
A)31
B)61
C)85
D)73
E)2
Rationale: 85 is divisible by 5,17. So, it is a composite number.
C
Answer: C
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 12 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Since (ii) holds for every real number x, it will remain valid if we replace x with
-x. Therefore, f(1-x) = 3+f(-x). Now, from (i), 12 = f(x)+f(1-x) = f(x)+3+f(-x)
so that f(x) + f(-x) = 12-3 = 9. (Observe that f(x) = 3x + 4 satisfies the conditions
in the problem.)
correct answer B
Answer: B
Question: A and B can do a work in 15days, B and C in 30days, C and A in 45days. If A,B and C work together , they will complete the work in?
Options:
A)10days
B)16days
C)20days
D)25days
E)22days
Rationale: A+B 1day work = 1/15
B+C 1day work = 1/30
C+A 1day work = 1/45
Adding we get 2(A+B+C) = 1/15 + 1/30 + 1/45 = 11/90
A+B+C 1 day work = 11/180
A,B,C can finish the work in 180/11 days = 16days approximately
Answer is B
Answer: B
Question: In 1996, the property tax of a community is increased by 6% over the 1995 tax.
An additional surcharge of $200 is also added for a special project.
If the Petersons' 1996 tax totals $2108, find their property tax for the year 1995
Options:
A)1600
B)1800
C)1900
D)2000
E)2500
Rationale: Tax for the year 1996= 2108
Surcharge add : 200
ie 2000-200= 1800
1800*6%=108+2000=2108
so the answer is B
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Options:
A)13 km/hr
B)50 km/hr
C)17 km/hr
D)18 km/hr
E)12 km/hr
Rationale: Speed of the train relative to man = (125/10) m/sec
= (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer:B
Answer: B