mathewhe/aqua_rat huggingface dataset:
Question: How many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph?
(A) 6 sec
(B) 7.5 sec
(C) 8 sec
(D) 3 sec
(E) 10 sec
Rationale: D = 110+165 = 275
S = 132 * 5/18 = 110/3 mps
T = 275*3/110 = 7.5 sec
B)7.5 sec
Answer: (B) 7.5 sec
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?
(A) 35
(B) 49
(C) 100
(D) 105
(E) 140
Rationale: Solution 1:
Assume the iodine solution to be mixed = x lts.
Iodine = 0.4x lts, Water = 0.6x lts.
Solution 2: 35 liters of a 20% iodine solution
Iodine = 7 lts, Water = 28 lts.
Total iodine = 0.4x + 7
Total water = 0.6x + 28
The resultant is a 35% iodine solution.
Hence (0.4x + 7) / (x + 35) = 35/100
40x + 700 = 35x + 1225
5x = 525
x = 105 lts
Correct Option: D
Answer: (D) 105
Question: How many 4-digit B numbers (ABCD) can be formed such that |A – D| = 2?
(A) 2,000
(B) 1,900
(C) 1,800
(D) 1,600
(E) 1,500
Rationale: 1) A=0 and D-8
2) A and D as 1 and 9..so 3*100= 300 extra ways ans 1800-300 = 1500.
we are looking for |A-D|=2 so any of the two can be bigger..
these two can have values (1,3) ; (2,4) so on till (7,9) so total 7*2 = 14..
another arrangement could be A as 2 and D as 0... D as 2 and A as 0 is not possible as number will become 3 digits..
so the ways A and D can be placed = 14+1=15 ways..
B and C can be placed in 10*10 ways..
Total B= 15*10*10=1500.E
Answer: (E) 1,500
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
(A) 165 ways
(B) 176 ways
(C) 617 ways
(D) 136 ways
(E) 156 ways
Rationale: Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eight persons
= ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2)
= 165 ways.
Answer: A
Answer: (A) 165 ways
Question: The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 kms in 4 hours, then the speed of the first train is
(A) 80 km/h
(B) 75 km/h
(C) 50 km/h
(D) 125 km/h
(E) 60 km/h
Rationale: B
75 km/h
Answer: (B) 75 km/h
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: C) 3
Answer: (C) 3
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
(A) 477
(B) 384
(C) 279
(D) 276
(E) 291
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 11 + 21 = 32
T = 12
D = 32 * 12 = 384.Answer: B
Answer: (B) 384
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages (in years).
(A) 8, 14, 18
(B) 8, 28, 36
(C) 20, 35, 45
(D) 33,42,43
(E) 23,42,43
Rationale: Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 16
20x = 40
x = 2.
Their present ages are 4x = 8 years, 7x = 14 years and 9x = 18 years respectively.
ANSWER:A
Answer: (A) 8, 14, 18
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places
(A) 45
(B) 43
(C) 42
(D) 47
(E) 23.57
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
Answer: Option E
Answer: (E) 23.57
Question: What percent is 7 gm of 1 kg?
(A) 0.7 %
(B) 0.5 %
(C) 2.5 %
(D) 3.5 %
(E) 4 %
Rationale: 1 kg = 1000 gm
7/1000 × 100 = 700/1000
=7/10 = 0.7 %
A)
Answer: (A) 0.7 %
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by six. What is the third number?
(A) 16
(B) 18
(C) 20
(D) 22
(E) 24
Rationale: Let the three numbers be x, x+2, and x+4.
3x = 2(x+4) + 6
x = 14 and then the third number is x+4 = 18.
The answer is B.
Answer: (B) 18
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
(A) 4
(B) 5
(C) 6
(D) 6
(E) 7
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Answer:A
Answer: (A) 4
Question: Sum of the numbers from 1 to 20 is
(A) 210
(B) 110
(C) 220
(D) 105
(E) 100
Rationale: Explanation: Sum of first n natural numbers = 1 + 2 + 3 + ..... n =n+1/2
Substitute n = 20.
=20*21/2=210
ANSWER IS A
Answer: (A) 210
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
(A) 69.0 km /hr
(B) 69.2 km /hr
(C) 67.2 km /hr
(D) 67.0 km /hr
(E) 65.0 km /hr
Rationale: Explanation:
If a car covers a certain distance at x kmph and an equal distance at y kmph. Then,
average speed of the whole journey = 2xy / x+y kmph.
By using the same formula, we can find out the average speed quickly.
Average speed
=2×84×56/84+56 = 2×84×56/140
=2×21×56/35=2×3×56/5
=336/5=67.2
Answer: Option C
Answer: (C) 67.2 km /hr
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) None of these
Rationale: Let x = the latitude sought.
Then marking the northings +, and the southings -;
By the statement x + 4 - 13 + 17 - 19 = -11
And x = 0.
Answer A
Answer: (A) 0
Question: Find the simple interest on Rs. 73,000 at 16 2/3% per year for 9 months.
(A) 7500
(B) 6500
(C) 8125
(D) 9125
(E) None of them
Rationale: P = Rs.73000,R = 50/3% p.a and T = 9/12 years = 3/4years.
Simple Interest = (P*R*T)/100 = Rs.(73,000*(50/3)*(3/4)*(1/100))= Rs.9125
Answer is D.
Answer: (D) 9125
Question: A plant manager must assign 10 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
(A) 2430
(B) 2700
(C) 3300
(D) 4860
(E) 5400
Rationale: my take selecting team of 2 out of 10 to assign to the shifts = 10C2 = 45 ways.
now 2 out of 10 means total of 5 group possible.
so putting them in shifts = counting methode: first, second, third, alt , alt
= 5*4*3*2*1 = 120
here alt and alt are the same: so 120/2 = 60 ways.
total ways of selecting = (selecting 2 out of 10)*arranging those teams in shifts
= 45*60 = 2700
Ans: B
Answer: (B) 2700
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
(A) 8
(B) twelve (12)
(C) 14
(D) 16
(E) 18
Rationale: Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+26
3x + 6 = x + 26
2x = 20
\inline \therefore x = 10
\inline \therefore Middle number = x + 2 = 10+2 = 12
B
Answer: (B) twelve (12)
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
(A) 112
(B) 127
(C) 134
(D) 154
(E) 146
Rationale: 127
B
Answer: (B) 127
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
(A) 4
(B) 16
(C) 25
(D) 36
(E) 100
Rationale: 25 = 5^2 so it can not be the square of an even number multiplied by an odd number.
The answer is C.
Answer: (C) 25
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
(A) 1.6 km
(B) 2 km
(C) 3.6 km
(D) 4 km
(E) None of these
Rationale: Explanation:
Speed downstreams	=(15 + 3)kmph
= 18 kmph.
Distance travelled	= (18 x 12/60)km
= 3.6km
Option C
Answer: (C) 3.6 km
Question: Which one of the following is not a prime number?
(A) 31
(B) 61
(C) 71
(D) 73
(E) 91
Rationale: 91 is divisible by 7. So, it is not a prime number.
D
Answer: (D) 73
Question: 90, 180, 12, 50, 100, 120, ?, 3, 30, 4, 25, 2, 6, 30, 3
(A) 90
(B) 120
(C) 180
(D) 200
(E) 220
Rationale: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
30*4=120
3*30=90 ans is 90
ANSWER:A
Answer: (A) 90
Question: The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher?
(A) 30
(B) 35
(C) 38
(D) 40
(E) 45
Rationale: Sum of ages of class before replacement= 45x14=630
Sum of ages of class without teacher= 630-15=615
Sum of ages of class after replacement=45x14.66=660
Age of teacher=660-615=45
Answer: E
Answer: (E) 45
Question: A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
(A) 5/6
(B) 1/5
(C) 1/6
(D) 1/7
(E) 1/24
Rationale: Let x be the number of upgraded sensors on the satellite.
The number of non-upgraded sensors per unit is x/6.
The number of non-upgraded sensors on the whole satellite is 24(x/6) = 4x.
The fraction of sensors which have been upgraded is x / (x+4x) = x/5x = 1/5
The answer is B.
Answer: (B) 1/5
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money W would he earn per month?
(A) $700
(B) $754
(C) $770
(D) $782
(E) $893
Rationale: OFFICIAL SOLUTION:
(C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:
$812 = 1.16S, where S is his current salary.
Then S = $812/1.16 = $700.
Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:
W=$700 + $70 = $770.
The correct answer is choice (C).
Answer: (C) $770
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
(A) 9X/80
(B) 16X/1
(C) 80/9X
(D) 20X/13
(E) 80X/9
Rationale: IMT = 0.25T
JI = 0.25 IMT
0.25 IMT = $x b
IMT = $x/(0.25) b
T = 4*IMT = 4x/0.25 = 4x*100/25 = 16x
Ans: "B"
Answer: (B) 16X/1
Question: In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $70,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
(A) $80,000
(B) $150,000
(C) $240,000
(D) $290,000
(E) $320,000
Rationale: For sake of ease, let's say there are 10 employees: 7 marketers, 2 engineers, and 1 manager.
Average company salary * Number of employees = Total company salary
>>> $80,000 * 10 = $800,000
Subtract the combined salaries for the marketers (7 * $70,000) and the engineers (2 * $80,000)
>>> $800,000 - $490,000 - $160,000 = $150,000.
The correct answer is B.
Answer: (B) $150,000
Question: In a consumer survey, 88% of those surveyed liked at least one of three products: 1, 2, and 3. 55% of those asked liked product 1, 40% liked product 2, and 20% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
(A) 15
(B) 20
(C) 25
(D) 30
(E) 35
Rationale: 55 + 40 + 20 = 115
This number includes some people counted twice and some people counted three times.
115 - 88 = 27, and this number represents people counted twice or three times.
7% of the people are counted two extra times.
The percentage of people counted one extra time is 27 - 7(2) = 13.
The percentage of people who liked more than one product is 7% + 13% = 20%.
The answer is B.
Answer: (B) 20
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
(A) 17 hrs
(B) 16 hrs
(C) 21 hrs
(D) 15 hrs
(E) 04 hrs
Rationale: 1/20 + 1/30 = 1/12
1 + 1/3 = 4/3
1 --- 12
4/3 --- ?
4/3 * 12 = 16 hrs
Answer:B
Answer: (B) 16 hrs
Question: A car dealership has 40 cars on the lot, 15% of which are silver. If the dealership receives a new shipment of 80 cars, 30% of which are not silver, what percentage of total number of cars are silver?
(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) 40%
Rationale: The number of silver cars is 0.15*40 + 0.3*80 = 30
The percentage of cars which are silver is 30/120 = 25%
The answer is B.
Answer: (B) 25%
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
(A) 1 one
(B) 2 two
(C) 3 three
(D) 4 four
(E) More than four
Rationale: A is followed by B means : A comes first,B comes next
A preceded by B means : B comes first, A comes next
The sets which satisfy the condition is: 5 3 8
1 3 8
7 3 4
ANSWER: C
Answer: (C) 3 three
Question: If the range Q of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 	0
(B) 	2
(C) 	12
(D) 	13
(E) 	15
Rationale: The range Q of a set is the difference between the largest and smallest elements of a set.
Without x, the difference between the largest and smallest elements of a set is 14-3=11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.
The the difference between the greatest possible value of x and least possible value of x is 15-2=13.
Answer: D.
Answer: (D) 	13
Question: Find the value of (√1.21)/(√0.81) + (√0.81)/(√0.49) is
(A) 195/63
(B) 2.5
(C) 155/63
(D) 125/63
(E) 185/63
Rationale: (√1.21)/(√0.81) + (√0.81)/(√0.49)
11/9 + 9/7 => 2.50
Answer is B
Answer: (B) 2.5
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
Rationale: Total number of ways = 7!*2!.
B
Answer: (B) 7!*2!
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
(A) 42 8/7%
(B) 42 6/4%
(C) 42 6/7%
(D) 42 3/7%
(E) 42 6/9%
Rationale: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer: D
Answer: (D) 42 3/7%
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
(A) Rs. 1550
(B) Rs. 1650
(C) Rs. 1750
(D) Rs. 2000
(E) Rs. 3000
Rationale: C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(3 * 8) = Rs. 1750
ANSWER:C
Answer: (C) Rs. 1750
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.]
(A)  0.33
(B)  0.44
(C)  0.55
(D)  44
(E)  55
Rationale: Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $
Just multiply by 100, Answer W= 44.D
Answer: (D)  44
Question: Oak Street begins at Pine Street and runs directly east for 2 kilometers until it ends when it meets Maple Street. Oak Street is intersected every 400 meters by a perpendicular street, and each of those streets other than Pine Street and Maple Street is given a number beginning at 1st Street (one block east of Pine Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Maple Street. What is the highest-numbered street that intersects Oak Street?
(A) 4th
(B) 5th
(C) 6th
(D) 7th
(E) 8th
Rationale: 2 km / 400 m = 5.
However, the street at the 2-km mark is not 5th Street; it is Maple Street.
Therefore, the highest numbered street is 4th Street.
The answer is A.
Answer: (A) 4th
Question: A one-foot stick is marked in 1/3 and 1/4 portion. How many total markings will there be, including the end points?
(A) 8
(B) 9
(C) 7
(D) 6
(E) 5
Rationale: LCM of 12 = 12
1/3 marking are (Table of 4) 0...... 4 ......8..... 12
(Total = 4)
1/4 marking are (Table of 3) 0 ....... 3 ...... 6...... 9........ 12 (Total = 5)
Overlapping markings are 0 ........ 12 (Total = 2)
Total markings = 4+5-2 = 7
Answer = C
Answer: (C) 7
Question: The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
(A) 48
(B) 277
(C) 65
(D) 15
(E) 12
Rationale: Let the present ages of P and Q be 5x and 7x years respectively.
Then, 7x - (5x + 6) = 2
2x = 8 => x = 4
Required sum = 5x + 7x = 12x = 48 years.
Answer:A
Answer: (A) 48
Question: A team has to design a flag. The team has three yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
(A) 24
(B) 35
(C) 42
(D) 84
(E) 85
Rationale: The # of permutations of total 3+4=7 strips where 3 are identical yellow and 4 are identical green is 7!/(3!*4!)=35 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).
Answer: B.
Answer: (B) 35
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/4 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
(A) 45
(B) 62
(C) 70
(D) 77
(E) 98
Rationale: Rakesh : Rahul : Ranjan : Rohit = 1 / 4 : 1 / 3 : 1 / 4 : 1 / 5
Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.
Step 2: Then pencil are distributed in ratio among friends,
Rakesh = ( 1 / 4 x 60 ) = 15.
Rahul = ( 1 / 3 x 60 ) = 20.
Ranjan = ( 1 / 4 x 60 ) = 15.
Rohit = ( 1 / 5 x 60 ) = 12.
Step 3: Total number of pencils are ( 15 x + 20 x + 15 x + 12 x) = 62 x.
For minimum number of pencils x = 1 .
The person should have at least 62 pencils.
B)
Answer: (B) 62
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9. If the shop carries 364 dogs and bunnies total in stock, how many dogs are there?
(A) 42
(B) 66
(C) 98
(D) 112
(E) 154
Rationale: Let us assume the number of dogs, cats and bunnies to be 4x, 7x and 9x
Total dogs and bunnies = 13x.
And we are given that 13x = 364.
Hence x = 28.
Dogs = 4x = 4*28 = 112 (Option D)
Answer: (D) 112
Question: Find the area, diameter = 11m.
(A) 113.00 square meter
(B) 95.07 square meter
(C) 93.08 square meter
(D) 93.24 square meter
(E) 113.43 square meter
Rationale: Diameter = 11 meter.
Radius = diameter/2.
= 11/2.
= 5.5 meter.
Area of a circle = Ï€r2.
Here, pi (Ï€) = 3.14 meter, radius (r) = 5.5.
Area of a circle = 3.14 Ã— 5.5 Ã— 5.5..
= 3.14 Ã— 30.25.
= 95.07 square meter ANSWER : B
Answer: (B) 95.07 square meter
Question: The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
(A)  12
(B)  24
(C)  36
(D)  48
(E)  60
Rationale: If we consider all pythagorean triplets with integral values, we have the following results:-
(3,4,5),(6,8,10)........
The diameter of the circle is 5 in the 1st case and 10 in the 2nd.
But the question says that radius of the circle is also an integer hence the 1st triplet will be ruled out.
We are left with the 2nd triplet where radius of the circle=5,
Hence the sides of the rectangle are 6 and 8 making the area =60.
Answer: (E)  60
Question: A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
(A) $448,000
(B) $148,000
(C) $248,000
(D) $548,000
(E) $648,000
Rationale: 6% x = 8,880 : x = selling price of house.
x = $148,000 : solve for x.
corect answer B
Answer: (B) $148,000
Question: A car going at 40 miles per hour set out on an 90-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
(A)  45
(B)  50
(C)  53
(D)  55
(E)  90
Rationale: Let Car A = car that starts at 9 AM
Car B = car that starts at 9:10 AM
Time for which car A travels at speed of 40 m per hour = 1.5 hours
Distance travelled by Car A = 40 *1.5 = 60 miles
Since Car B catches up Car A at 10:30 , time = 90 mins = 3/2 hour
Speed of Car B = 60/(3/2) = 90 miles per hour
Answer E
Answer: (E)  90
Question: If 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers?
(A) 1 minutes
(B) 10 minute
(C) 100 minutes
(D) 10000 minutes
(E) 1000 minutes
Rationale: we can try the logic of time and work,our work is to kill the deers so 10(lions)*10(min)/10(deers)=100(lions)*x(min)/100(deers)hence answer is x=10
ANSWER:B
Answer: (B) 10 minute
Question: There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 2/7. What is the probability that the marble will be either red or blue?
(A) 3/7
(B) 11/14
(C) 13/28
(D) 19/28
(E) 29/42
Rationale: P(red or blue) = 1 - P(white) - P(green) = 28/28 - 7/28 - 8/28 = 13/28
The answer is C.
Answer: (C) 13/28
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long W will the conference last if there are a total of 6 seminars that day?
(A) 5 hours and 15 minutes
(B) 5 hours and 20 minutes
(C) 5 hours and 25 minutes
(D) 5 hours and 30 minutes
(E) 5 hours and 35 minutes
Rationale: Shouldnt the answer be 5 hours 20 mins?
Break = b
Seminar= 10b
9am to 11:40am= 160mins
3s+b=160
30b+b=160
b=160/31
6 seminar will take
6s+2b
=60b+2b
=62b
=62*160/31
=320
W=5 hours 20 mins.B
Answer: (B) 5 hours and 20 minutes
Question: Which of the following triples of numbers have the same standard deviation as the numbers a, b, and c?
I. a-2, b-2, c-2
II. 0, a-b, c-b
III. a-4, b+5, c-1
(A) I only
(B) II only
(C) I and III only
(D) II and I only
(E) I, II, and III
Rationale: If we add or subtract a constant to each term in a set the standard deviation will not change.
Set {a-2, b-2, c-2} is obtained by subtracting 2 from each term of {a, b, c}.
Set {0, a-b, c-b} is obtained by subtracting s from each term of {a, b, c}..
Set {a-4, b+5, c-1} is totally different from {a, b, c}.
Thus the answer is I and II only.
Answer: D.
Answer: (D) II and I only