divelab/Sys2Bench huggingface dataset:
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.3.00 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Options:
A)s.1014
B)s.1140
C)s.1998
D)s.1085
E)s.1020
Rationale: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 3.0 = 1998
ANSWER:C
Answer: C
Question: Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.
Options:
A)2.2%
B)5.9%
C)4.9%
D)5.6%
E)44%
Rationale: cost price of 12 toys =375
selling price of12 toys =33×12=396
profit =396−375=21
profit percentage =7*100/125=5.6%
Answer : D
Answer: D
Question: Of the female students at Barkely University, 3/5 are on the honor roll. Of the male students, 2/5 are on the honor roll. If 5/9 of the students are female, what fraction of all the students are on the honor roll?
Options:
A)5/9
B)3/15
C)23/45
D)43/60
E)53/90
Rationale: let the total students be 45
given 5/9 of the students are females = 25
then males = 4/9 = 20
3/5 of the females are on honor roll = 15
males on the honor roll = 2/5= 8
total students on honor roll = 15+8 =23
fraction = 23/45
C
Answer: C
Question: Suppose x is the product of all the primes less than or equal to 59. How many primes appear in the set {x + 2, x + 3, x + 4, …, x + 59}?
Options:
A)0
B)17
C)18
D)23
E)24
Rationale: Since 2 * 3* 5 *... *59 is even, x is even.
As x is even, so will be x+2, x+4, x+6...... x+58, so these numbers cannot be prime.
Now x+3 is nothing but (2*3*... 59) + 3. Rewriting this as {3 * (2 * 5*.... 59)} +3.
One can observe here that the term in the curly brace is a multiple of 3 and that term plus 3 will definitely be a multiple of 3 .
(Multiple of 3 + 3 is a multiple of 3, Multiple of 59 + 59 is a multiple of 59)
As x+3 is a multiple of 3 it cannot be a prime.
Similarly x+5 can be written as {5 * (2 * 3* 7*.... 59)} +5 which is a multiple of 5.
ANSWER:A
Answer: A
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many W eggs does the plant process per day?
Options:
A) 100
B) 300
C) 400
D) 3,000
E) 4,000
Rationale: Straight pluggin in for me. As usual, I started with C and got the answer.
Lets' back calculate and see what we get
Let us consider eggs processed each day to be 400
So Initial ratio of eggs processed and rejected is 96:4 or 24:1
So out of 400 eggs, there will be 384 eggs processed and 16 rejected.
Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there W= 384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1
Bingo...this is what the questions says....
Its always a good idea to start with C.
Answer: C
Question: A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?
Options:
A)Rs.7500
B)Rs.8000
C)Rs.8500
D)Rs.9000
E)None
Rationale: Solution
Let B's capital be Rs.x. Then,	3500×12 ⁄ 7x
=2⁄3
‹=›14x = 126000
x = 9000.
Answer D
Answer: D
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is
Options:
A)3 cm
B)4 cm
C)6 cm
D)8 cm
E)None
Rationale: Solution
4ΠR2	= 2Π6x12
⇒ R2 = (6x12/2)
⇒ 36
⇒ R = 6 cm.
Answer C
Answer: C
Question: If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
Options:
A)20% loss
B)25% profit
C)33.33 % loss
D)30.33% loss
E)None of these
Rationale: Explanation :
Let Cost price of 1 article be Re.1.
Therefore, Cost price of 20 articles = Rs. 20.
Selling price of 16 articles = Rs. 20
Therefore, Selling price of 20 articles is :-
=>20/16×20
=>25.
Therefore, Profit = Selling price - Cost price.
=>25−20=5.
Hence, the percentage of profit = profit x 100/C.P.
=>5/20×100.
=>25% Profit.
Answer : B
Answer: B
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Options:
A)150
B)200
C)250
D)275
E)285
Rationale: 30% ------------ 50
45% ------------ 25
----------------------
15% ------------- 75
30% -------------- ?
150 + 50 = 200 Marks
ANSWER:B
Answer: B
Question: 80% of the population of Albany Town lived in the East at the Beginning of the Year 1998 and the rest of the Town lived in the North. During the year 1998, the population of Town Albany grew by 9%. If the population in the East grew by 5.5%, by how much did the population in the North grow?
Options:
A)23%
B)23.5%
C)25%
D)11.25%
E)19%
Rationale: I prefer the weighted average method over dealing with creating and solving the algebraic expression:
Ratio of population in Albany Town = East:North :: 80%:20% = 4:1
Mean growth = 9.0%
East Growth: 5.5%
North Growth = ??
East-------------Average--------------North
5.5% __(1n)_____9.0%_____(4n)_____??
Since:
5.5 + 1n = 9
n = 3.5
Therefore:
North = 9 + 4n
North = 9 + 4(3.5) = 23%
The Population increased in the North of the Albany Town is 23% during 1998
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 34 years now, the son's age five years back was
Options:
A)20years
B)18years
C)16years
D)14years
E)12years
Rationale: Let the son's present age be x years. Then, (34 - x) = x
2x = 34.
x = 17.
Son's age 5 years back (17 - 5) = 12 years.
E)
Answer: E
Question: The cost of 6 bags and 8 purses is Rs.1300, what is the cost of 10 bags and 30 purses?
Options:
A)Rs.3600
B)Rs.3500
C)Rs.3800
D)Rs.3250
E)None of these
Rationale: Explanation:
Cost of 6 bags + 8 purses = Rs.1300
Multiply each term by 5/2, we get,
Cost of 10 bags + 30 purses = Rs.3250.
Answer: Option D
Answer: D
Question: The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 11 and 41 inclusive.
Options:
A)351
B)364
C)416
D)424
E)450
Rationale: We're dealing with a sequence of CONSECUTIVE ODD INTEGERS: 11 to 41, inclusive. We're asked for the SUM of this group.
1) Start with the sum of the smallest and the biggest: 11 + 41 =52
2) Now look at the 'next smallest' and the 'next biggest': 13 + 39 = 52
Now we have proof that there is no middle term. We have 8 bunches of 52.
8(52) = 416
C
Answer: C
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 12 km each. Then they turned left and ran for another 9 km.
What is the distance (in kilometers) between the the two twins when they stop?
Options:
A)26
B)28
C)30
D)32
E)34
Rationale: The distance between them is the hypotenuse of a right angle triangle with sides 18 km and 24 km. The hypotenuse = sqrt(18^2 + 24^2) = 30
The answer is C.
Answer: C
Question: If 4a = 16b and 9b = 13c, Find a:b:c?
Options:
A)52:13:7
B)13:7:52
C)7:13:52
D)7:13:54
E)None of these
Rationale: Explanation:
(4a = 16b ==> a/b = 16/4)
and (9b = 13c ==> b/c = 13/7)
==> a:b = 16:4 and b:c = 13:7
a:b:c = 208:52:28 = 52:13:7
Answer: Option A
Answer: A
Question: In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets Q can be created from this process?
Options:
A) 35
B) 105
C) 210
D) 420
E) 630
Rationale: Q=7C4 * 3C2 = 105 Answer B.
7C4 ways to choose 4 numbers for Box 1
3C2 ways to choose 2 numbers for Box2
1 way for Box 3 .B
Answer: B
Question: If a given number ,n, is an odd positive integer, which of the following must then be an even negative integer?
Options:
A)-2n - 1
B)n^-2
C)n^2
D)-2n^2
E)2n - 4n
Rationale: Answer: E
A: -2n - 1 = negative odd
B: n^-2 = positive
C: n^2 = positive
D: -2n ^ 2 = positive even
E: 2n - 4n = -2n = even and negative
Answer: E
Question: Given two fair dice, what is the probability that the sum of their numbers is 4 if exactly one die shows a 3?
Options:
A)2/11
B)1/18
C)3/11
D)2/39
E)1/5
Rationale: P(A|B) = Probability of event A occurring such that event B has already occurred
= P(A & B) / P(B)
Here, event A is getting a sum of 4
we'll have 3 possibilities : (1,3), (2,2), (3,1)
Event B => one of the 2 dices already shows a 3 [NOTE : there is NO restriction on the other dice => both dices CAN throw a 3]
we'll have 11 possibilities : (1,3),(2,3),(3,3),(4,3),(5,3),(6,3),(3,1),(3,2),(3,4),(3,5),(3,6)
So, P(B) = 11/36
Event A & B occurring => 2 possibilities => (1,3) & (3,1)
So, P(A & B) = 2/36
Therefore P(A|B) = 2/11
ANSWER:A
Answer: A
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Options:
A)5:78
B)5:11
C)5:12
D)5:19
E)5:16
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4096 = 212
a = (212)1/2 = 26 = 64
L = 2a and b = a - 24
b : l = a - 24 : 2a = 40 : 128 = 5:16
Answer: E
Answer: E
Question: The age of Somu is one-third his father's. 6 years back he was one-fifth of his father's age. What is his persent age ?
Options:
A)11
B)13
C)14
D)12
E)10
Rationale: Explanation :
Let Somu's age be x and that of his father be 3x.
So, x - 6 = 3x - 6/5 = x = 12
Answer : Option D
Answer: D
Question: How many different subsets of the set {10, 14, 17, 26} are there that contain an odd number of elements?
Options:
A) 3
B) 6
C) 18
D) 10
E) 8
Rationale: Answer = E = 8
{10}
{14}
{17}
{26}
{10, 14, 17}
{14, 17, 26}
{10, 17, 26}
{10, 14, 26}
Answer: E
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/19
B)30/17
C)30/18
D)30/13
E)30/11
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream = d/s = 60/26 = 30/13 hours.
Answer: D
Answer: D
Question: What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?
Options:
A)4
B)10
C)16
D)20
E)25
Rationale: The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum).
A
Answer: A
Question: Three numbers are in the ratio 5 : 6 : 9. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?
Options:
A)A)30
B)B)75
C)C)48
D)D)46
E)E)63
Rationale: Let the numbers be 5x, 6x, 9x.
Largest number = 9x.
Smallest number = 5x.
Third number = 6x.
9x + 5x = 6x + 48
8x = 48 =>x=6
5x=30=> third number is 48.
Answer:A
Answer: A
Question: The average age 11 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A)18
B)22
C)77
D)26
E)12
Rationale: 11 * 2 = 22 years
Answer: B
Answer: B
Question: Which of the following are/is prime?
I. 143
II. 147
III. 145
Options:
A) II only
B) III only
C) III
D) IIII
E) I, II,III
Rationale: 1) 143 = 13*11 so we know it is not prime quickly eliminate all options having 1 as a choice
which leaves us with 2 ) and 3) as possible answers
From here on we find 147 = 3* 49 so we eliminate 147 which leaves us with 149 as the only possible solution D
Answer: D
Question: A certain bakery has 6 employees. It pays annual salaries of $17,000 to each of 2 employees, $19,000 to 1 employee, and $20,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Options:
A)$18,200
B)$18,500
C)$18,800
D)$19,000
E)$19,400
Rationale: average = 2(17000)+(19000)+3(20000) / 6 = $18,833
The answer is C.
Answer: C
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $150, by what percent is the price to be reduced?
Options:
A)10%
B)15%
C)20%
D)25%
E)30%
Rationale: price of a coat in a certain store = $500
the price of the coat is to be reduced by $150
% change = (Final Value - Initial Value)*100 / Initial Value
% Reduction= (Reduction in Price)*100 / Initial Value
i.e. % Reduction= (150)*100 / 500 = 30%
Answer: Option E
Answer: E
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Options:
A)3629
B)3608
C)3600
D)3613
E)6192
Rationale: P = 144(100/5)2 => P
= 3600
Answer:C
Answer: C
Question: Pipe A can fill a tank in 10 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Options:
A)18
B)27
C)98
D)27
E)48
Rationale: Let the pipe B be closed after x minutes.
30/10 - x/24 = 1 => x/24 = 30/10 - 1 = 2
=> x = 2 * 24
= 48.
Answer:E
Answer: E
Question: The price of pulses has fallen by 18%. How many quintals can be bought for the same amount which was sufficient to buy 16 quintals at the higher price?
Options:
A)20.5
B)22.5
C)19.5
D)18.4
E)32.5
Rationale: 80% of original price can buy = 16 quintals.
Therefore, he can buy ( 16 x 100 )/ 82 = 19.5 quintals at the lower price.
ANSWER:C
Answer: C
Question: What is the value of 4^5+4^6?
Options:
A) 5(4^5)
B) 4^35
C) 17(4^5)
D) 8^12
E) 7(4^5)
Rationale: 4^5+4^6
=4^5(1+4^1)
=4^5 * 5
Answer A
Answer: A
Question: If A =x% of y and B =y% of x, then which of the following is true?
Options:
A)None of these
B)A is smaller than B
C)Relationship between A and B cannot be determined
D)If x is smaller than y, then A is greater than B
E)A is greater than B
Rationale: Explanation:
A =x/100×y=xy/100 ⋯(1)
B = y/100×x=yx/100 ⋯(2)
Therefore A = B
ANSWER IS A
Answer: A
Question: Tim bought a new machine to help him picking apples from apple trees. If this new machine can pick 20 apples every 30 minutes and Tim wants to pick 500 apples today. How many hours he is going to take?
Options:
A)10
B)12.5
C)15
D)17.5
E)20
Rationale: The machine picks 20 apples every 30 minutes = 40 apples/hour. 500 apples is going to take 500/40 apples/hour = 12.5 hours. Correct Option: 12.5. Answer: B
Answer: B
Question: If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 23, 30, 22, 26, 19, 33 and 35 ?
Options:
A)33
B)28
C)22.5
D)24
E)23
Rationale: It is given that a quartile is the middle number of all numbers less than median..
so lets arrange the number in ascending order- 42, 23, 30, 22, 26, 19, 33 and 35
19, 22, 23, 26, 30 , 33, 35, 42...
numbers less than median are 19, 22, 23, 26 ..
the median of these numbers = center of 22 and 23 = 22.5
C
Answer: C
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Options:
A)80%
B)105%
C)140%
D)124.2%
E)138%
Rationale: 0,14R = x/100*0.1R
Answer C
Answer: C
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 5 km/hr. find the time taken by the boat to go 68 km downstream?
Options:
A)2 hours
B)3 hours
C)3 hours 48 minutes
D)5 hours
E)None
Rationale: Solution
Speed Downstream	= (13 + 5) km/hr
= 18 km/hr.
Time taken to travel 68 km downstream	=(68 / 18)hrs
= 3 hrs 48 minutes.
Answer C
Answer: C
Question: a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
Options:
A)3
B)5
C)6
D)7
E)8
Rationale: Total subjects = 7+6+5=18
Max subjects by 1 teacher = 3
So, min of teachers required = 18/3 = 6
ANSWER:C
Answer: C
Question: Two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Options:
A)10 sec
B)22 sec
C)82 sec
D)20 sec
E)89 sec
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 320 = 440 m.
The time required = d/s = 440 /20 = 22 sec.
Answer:B
Answer: B
Question: A wholesaler wishes to sell 100 pounds of mixed nuts at $2.00 a pound. She mixes peanuts worth $1.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use?
Options:
A)40
B)45
C)50
D)55
E)60
Rationale: From the question stem we know that we need a mixture of 100 pounds of peanuts and cashews. If we represent peanuts as x and cashews as y, we get x + y = 100. Since the wholesaler wants to sell the mixture of 100 pounds @ $2.50, we can write this as: $2.5 * (x + y) = $1.5x + $4y
From the equation x + y = 100, we can rewrite y as y = 100 - x and substitute this into our equation to get:
$2.5 * (x + 100 - x) = $1.5x + $4(100 - x)
If you solve for x, you will get x = 60, and therefore y = 40. So the wholesaler must use 40 pounds of cashews.
You can substitute into the original equation to see that: $250 = $1.5(60) + $4(40)
Answer is C.
Answer: C
Question: A train crosses a platform of 170 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
A)70
B)88
C)167
D)197
E)161
Rationale: Length of the train be ‘X’
X + 170/15 = X + 250/20
20X + 3400 = 15X + 3750
5x=350
X = 70m
Answer: A
Answer: A
Question: When 4 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Options:
A)1
B)4
C)8
D)31
E)30
Rationale: Total outcome is 2^4 = 16
Favourable cases = H_ _ H
The second and third places can be occupied by either H or T
There are 2^2 =4 ways that can be done.
Hence, the correct option is B
Answer: B
Question: A $79.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
Options:
A)15%
B)20%
C)25%
D)60%
E)80%
Rationale: Listed selling price of chair = 79.95 $
Discounted selling price of chair = 59.95 $
Discount = 79.95 - 59.95 = 20 $
% decrease in price of chair = (20/79.95) * 100% = 25 % approx
Answer C
Answer: C
Question: What is the diffference between the place value and face value of 3 in the numeral 1375?
Options:
A)259
B)270
C)297
D)298
E)300
Rationale: place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
C
Answer: C
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol?
Options:
A) 7/2
B) 5
C) 100/3
D) 8
E) 39/4
Rationale: 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.
If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.
According to the statement;
20+x = 40% of (100+x)
OR
20+x=(100+x)2/5
100+5x=200+2x
3x=100
x=100/3
Ans:C
Answer: C
Question: The average (arithmetic mean) of the integers from 200 to 800, inclusive, is how much greater than the average of the integers from 50 to 300, inclusive?
Options:
A) 450
B) 375
C) 400
D) 425
E) 300
Rationale: For an AP the mean or average of series is average of first and last term.
So, average of numbers between 200 to 800, inclusive = (200+800)/2 = 500
average of numbers between 50 to 300, inclusive = (50+300)/2 = 175
difference = 500 - 175 = 425
Answer is D
Answer: D
Question: 0.03 x 0.0172 is equal to:
Options:
A)6.48 x 10(power -4)
B)6.84 x 10(power -4)
C)5.16 x 10(power -4)
D)5.48 x 10(power -4)
E)None of them
Rationale: 3 x 172 = 516. Sum of decimal places = 6.
So, 0.03 x 0.0172 = 0.000516 = 5.16 x 10(power -4)
Answer is C
Answer: C
Question: If a number is 80% more than the another, how much % is the smaller number less than the first ?
Options:
A)12(1/3)%
B)44(2/3)%
C)46(1/3)%
D)16(4/3)%
E)44(4/9)%
Rationale: Take a number 100,
Then the other number is 180
% the smaller number is less than the first = [80/(180)) x 100]% = 44(4/9)%.
ANSWER:E
Answer: E
Question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
A)33 1/8%
B)33 1/3%
C)83 1/3%
D)33 4/3%
E)73 1/3%
Rationale: P = (P*3*R)/100
R = 33 1/3%
Answer:B
Answer: B
Question: Line A has the equation 3x + y = 7. Which of the following lines is perpendicular to Line A?
Options:
A)y = 3x + 4
B)y = –3x – 6
C)y = (1/3)x – 1
D)y = (–1/3)x + 2
E)y = (–7/3)x – 5
Rationale: What’s tricky about this problem: we have to begin by solving the given equation for y, so that we know its slope.
The slope of the original line is m = –3, and the negative reciprocal of that is +1/3, so the perpendicular line must have a slope of +1/3. Among the answer choices, the only line with a slope of +1/3 is (C).
Answer C
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Options:
A)266 Sec
B)190 Sec
C)776 Sec
D)166 Sec
E)997 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer: B
Answer: B
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Options:
A)27 7/6 m
B)27 7/4 m
C)27 7/2 m
D)27 7/9 m
E)27 7/7 m
Rationale: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.Answer:D
Answer: D
Question: Last year a certain bond yielded 6 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
Options:
A)$5,000
B)$6,750
C)$7,425
D)$7,500
E)$9,375
Rationale: Interest = 0.06*face value = 0.04*7,500 --> face value = 0.04*7,500/0.06 = 5,000.
Answer: A.
Answer: A
Question: Williams, a painter, has 9 jars of paint: 4 are orange, 2 are yellow, and the rest are brown. Williams will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no orange paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of orange paint 4) J2, if the paint contains exactly 1 jar of orange paint What is the probability that the new colour will be a shade of J (J1 or J2)?
Options:
A)74/42
B)37/84
C)21/42
D)37/42
E)42/42
Rationale: the probability that it would be J1 or J2 is same as 1-()probability that it is C1 or C2
For C1-3C2(Brown)*2C1(Yellow)=3*2=6
For C2-3C3(all brown)=1
Total=9C3=84
1-7/84=77/84= 37/42
Answer : D
Answer: D
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
A)10
B)12
C)30
D)40
E)20
Rationale: Dist = (100/45*9) = 20 m
ANSWER E
Answer: E
Question: An escalator moves towards the top level at the rate of 12 ft.sec and its length is 210 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
Options:
A)15 sec
B)10 sec
C)12 sec
D)8 sec
E)9 sec
Rationale: Time taken to cover the entire length = tot.dist/resultant speed
= 210/ (12+2)
= 15 sec
ANSWER:A
Answer: A