divelab/Sys2Bench huggingface dataset:
Question: Mrs. Rodger got a weekly raise of $135. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Options:
A)$ 145.
B)$ 146
C)$ 135
D)$ 148
E)None
Rationale: Solution:
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 135.
So after completing the 1st week she will get $ (x+135).
Similarly after completing the 2nd week she will get $ (x + 135) + $ 135.
= $ (x + 135 + 135)
= $ (x + 270)
So in this way end of every week her salary will increase by $ 135.
Answer C
Answer: C
Question: How many revolutions will it take for a circular wheel of 1.95 m radius make in traveling a distance of 1 km?
Options:
A)14557.1
B)24257.1
C)11257.1
D)12257.1
E)12567.1
Rationale: 2 * 22/7 * 1.95 * x = 12257.1
x = 1000
Answer: D
Answer: D
Question: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Options:
A)$50
B)$60
C)$70
D)$80
E)$90
Rationale: Let x be the original price.
x - 20 = 50
x - 20 + 20 = 50 + 20
x + 0 = 70
x = 70
correct answer is C)$70
Answer: C
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Options:
A)22
B)25
C)70
D)27
E)21
Rationale: A + B = 60, A = 2B
2B + B = 60 => B = 20 then A = 40.
5 years, their ages will be 45 and 25.
Sum of their ages = 45 + 25 = 70.Answer:C
Answer: C
Question: Ms. Harris invested in Fund X and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund X. How much did Ms. Morris invest in Fund X?
Options:
A) $32,000
B) $36,000
C) $40,000
D) $42,000
E) $45,000
Rationale: 0.17B-0.23X = 200 | * 100
17B-23X=20,000
X+B=100,000
B=100,000 - X
17(100,000 - X) - 23X = 20,000
1,700,000 - 17X - 23X = 20,000
1,680,000 = 40X
divide by 40
first two digits: 42...so answer is D.
Answer: D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
A)35, 25 kmph
B)80, 40 kmph
C)40, 60 kmph
D)50, 55 kmph
E)50, 65 kmph
Rationale: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph
ANSWER:B
Answer: B
Question: Working together, Tim and Tom can type 15 pages in one hour. If they would be able to type 18 pages in one hour if Tom increases his typing speed by 60%, what is the ratio of Tom's normal typing speed to that of Tim?
Options:
A)1/2
B)1/3
C)1/4
D)1/5
E)1/6
Rationale: Lets say Tim types x pages an hour and Tom types y pages an hour.
We know that x+y=15
Tom increase speed by 60% means he will type 1.6 y pages an hour.
So we get x+1.6 y=18
We need to know the ratio of Tom's speed to Tim's speed. This is going to be proportional to the number of pages each can type in an hour, hence (y/x).
Subtracting both : 0.6 y=3 so y=5 ... so x=10
(y/x)=5/10 =1/2
Answer is (A)
Answer: A
Question: Bob finishes the first half of an exam in two-sixth the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Options:
A)15
B)24
C)27
D)36
E)40
Rationale: Many times, it is easiest to think of problems like this conceptually (as opposed to formulaically). Conceptually, if the first half of the exam takes 2/6's the time of the second half (6/6's), we can see that the hour the entire exam took to finish can be broken down into eight's. (Another way to look at this problem is via ratio's - first half is 2:8 and the second half is 6:8). With each sixth of an hour being 15/2 minutes (60/8), the first half of the exam would have taken 15 minutes. Correct answer is A.
Answer: A
Question: Find the prodect of the local value and absolute value of 4 in 23468
Options:
A)400
B)1600
C)1200
D)80
E)70
Rationale: Explanation:
Local value of 4 = 4 x 100 = 400
Place value of 4 = 4
There fore = 4 x 400 = 1600
Answer: Option B
Answer: B
Question: How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay?
Options:
A)15 kg
B)18 kg
C)20 kg
D)24 kg
E)None of these
Rationale: Here, cost price of mixture = 100×100/100+25 = 32 paise
∴q1q2=32−24/42−32=810=45
and hence q1 = 4⁄5 × 25 = 20 kg
Answer C
Answer: C
Question: At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
Options:
A)5%
B)4%
C)2%
D)6%
E)7%
Rationale: Let sum = x. Then, S.I. = 2x/5, Time = 20 years.
Rate = (100 * 2x) / (x * 5 * 20) = 2%
ANSWER:C
Answer: C
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Options:
A)200
B)210
C)220
D)240
E)360
Rationale: ARMOUR = 6 letter whereas R repeated twice 6! 6xSx4x3x2x1 => 360
E
Answer: E
Question: There are 200 female managers in a certain company. Find the total number R of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Options:
A)R=300
B)R=400
C)R=500
D)600
E)None of these
Rationale: {Managers} = {Female Managers} + {Male Managers};
We are told that the total number of managers in the company is 2/5 of all the employees , thus{Managers} = 2/5 (M + F), where M and F are number of female and male employees, respectively.
Also, we know that 2/5 of all male employees are managers:{Male Managers} = 2/5 * Mas well as there are total of 200 female managers:{Female Managers} = 200;
Thus:2/5 (M + F) = 200 + 2/5 * M-->F = 500.
Answer: C.
Answer: C
Question: The wages of 24 men and 16 women amounts to Rs.11600 per day. Half the number of men and 37 women earn the same amount per day. What is the daily wage of a man?
Options:
A)2378
B)277
C)208
D)270
E)350
Rationale: Let the wage of a man is m and woman be w.
24m+16w=11600
12m+37w = 11600
Solving we get m = 350
Answer:E
Answer: E
Question: A committee of 6 people is to be selected from 8 people. How many different committees are possible?
Options:
A)28
B)40
C)56
D)D.168
E)336
Rationale: Because the order does not matter in selecting 6 people for the committee, this is a combination question.
The number of ways to select 6 people from 8 = 8C6 = 8!/6!*2! = 28. Hence A.
Answer: A
Question: A student has 7 trousers and 10 shirts. In how many different ways can the student select a trouser and a shirt?
Options:
A)52
B)58
C)64
D)70
E)76
Rationale: The student can select one trouser in 7 ways.
The student can select one shirt in 10 ways.
The number of ways to select one trouser and one shirt is 7 * 10 = 70 ways
The answer is D.
Answer: D
Question: The average mark obtained by 22 candidates in an examination is 47. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
A)22
B)44
C)49
D)68
E)76
Rationale: It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 44
Answer:B
Answer: B
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 63, the three numbers in order are?
Options:
A)27, 54, and 108
B)54, 27, and 108
C)108, 27, and 54
D)108, 54, and 27
E)54, 108, and 27
Rationale: Let the numbers be 2x, x and 4x
(2x + x + 4x)/3 = 63
7x/3 = 63
x = 27
The numbers in order are 54, 27, and 108
The answer is B.
Answer: B
Question: A’s speed is 51/44 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Options:
A)1/51
B)4/51
C)7/51
D)3/44
E)7/44
Rationale: We have the ratio of A’s speed and B’s speed. This means, we know how much distance A covers compared with B in the same time.
This is what the beginning of the race will look like:
(Start) A_________B______________________________
If A covers 51 meters, B covers 44 meters in that time. So if the race is 51 meters long, when A reaches the finish line, B would be 7 meters behind him. If we want the race to end in a dead heat, we want B to be at the finish line too at the same time. This means B should get a head start of 7 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 51 meters) would be the same as the time required by B (to cover 44 meters) to reach the finish line.
So B should get a head start of 7/51th of the race.
Answer (C)
Answer: C
Question: Andrea and Zach are both waiting for an
appointment with a guidance counselor.
When they arrived, each received a card
from the secretary, telling the hour and
minute of his or her arrival. Two minutes
ago, Andrea had been waiting exactly as
many minutes as Zach. Three minutes from
now, Andrea will have been waiting exactly
2/3 as long as Zach. If the time is now 11:30,
at what time did Andrea arrive?
Options:
A)11:16
B)11:18
C)11:20
D)11:23
E)11:25
Rationale: Let a equal the number of minutes that Andrea had been waiting two minutes ago. At
that time, Zach had been waiting for twice as long as Andrea, so he had been waiting for
2a minutes. Three minutes from now, both Andrea and Zach will each have been waiting
for 5 minutes longer:
Two minutes ago Three minutes from now
Andrea a a + 5
Zach 2a 2a + 5
Three minutes from now, Andrea will have been waiting for 23
as long as Zach, so make an equtation as follows:
a+5=2/3(2a+5)
3a+15=2(2a+5)
3a+15=4a+10
3a+5=4a
5=a
Thus, two minutes ago, at 11:28, Andrea had been waiting for 5 minutes. So she arrived at 11:23.
correct answer D)11.23
Answer: D
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Options:
A)63
B)511
C)1023
D)15
E)31
Rationale: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.
Hence, the required number of ways = 45 - 1.
= 210 - 1 = 1024 - 1 = 1023
ANSWER:C
Answer: C
Question: A committee of 7 is chosen from 8 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Options:
A)308
B)700
C)1404
D)2620
E)3510
Rationale: The only cases possible are :
1. 2 men and 5 women : 8C2 * 5C5 = 28
2. 4 men and 3 women: 8C4*5C3 = 280
Rest of the cases will either have 1 or 0 men (not allowed) or will have 1 or 2 or 0 women (not allowed)
Total possible combinations = 28+280 = 308. Thus A is the correct answer.
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
Options:
A)2.8
B)8
C)6
D)9
E)5
Rationale: 1/10 + 1/15 - 1/x = 1/20
x = 20/7 = 2.8
Answer: A
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 125 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
Options:
A)50
B)100
C)150
D)200
E)250
Rationale: It is simply a weighted average question. Since the given average of 50% and 60% is 55% (right in the middle), it means the number of people surveyed in Eros (n) is same as the number of people surveyed in Angie.
So n = 125
Total = 125 + 125 = 250
Answer (E)
Answer: E
Question: There were totally 100 men.85 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
Options:
A)11
B)12
C)13
D)14
E)15
Rationale: 100-(100-85)-(100-75)-(100-85)-(100-70)= 100-15-25-15-30=100-85=15
ANSWER:E
Answer: E
Question: If x is divisible by 9, 108, and 36, which of the following must be the least multiple of x?
Options:
A)108
B)36
C)9
D)324
E)120
Rationale: If x is divisible by 9, 108, and 36, then x must be a multiple of 9,4 and 3.
Hence,the least multiple of x will be 9*4*3=108.
ANSWER:A
Answer: A
Question: If q and b are positive numbers, and q^3 + b^3 = 75, then the greatest possible value of q is between:
Options:
A)0 and 3
B)3 and 5
C)4 and 5
D)5 and 7
E)6 and 9
Rationale: Yes the question is ambiguous, and the answer is certainly not C between 4 and 5 .
The question stated: q and b are positive numbers but not positive integers.
so fractions are allowed to be a part of calculation.
So if the answer is C then the value 4.5 = 9/2 must comply the equation.
(9/2)^3 + b^3 = 75
so, b^3 = -129/8 , which is not possible according to the question.
Moreover the question didn't mentioninclusive or not, so we can't assume that b is 4 .
hi asif,
question is correct IMO.
Sincemaximumvalues areuniqueso you cant take any value and make it satisfy with equation
question is asking that maximum value ofa(means that unique value ofa) is between...
its not saying all value of that range will satisfy.
Answer: C
Question: A farmer wishes to start a 100 square metres rectangular vegetable garden. Since he has only 30 m barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. The dimension of the garden is:
Options:
A)15 m × 6.67 m
B)20 m × 5 m
C)30 m × 3.33 m
D)40 m × 2.5 m
E)None of these
Rationale: We have : 2b + l = 30 ⇒ l = 30 – 2b.
Area = 100 m2 ⇒ l × b = 100 ⇒ b(30 – 2b) = 100
⇒ b2 – 15b + 50 = 0 ⇒ (b – 10)(b – 5) = 0
⇒ b = 10 or b = 5.
When b = 10, l = 10 and when b = 5, l = 20.
Since the garden is rectangular,
so its dimension is 20 m × 5 m.
Answer B
Answer: B
Question: Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Options:
A)11:9
B)11:20
C)9:20
D)11:8
E)None of these
Rationale: Explanation :
In the same time, they cover 110 km and 90 km respectively.
=> Ratio of their speeds = 110 : 90 = 11 : 9
Answer : A
Answer: A
Question: Oil is poured in a cylindrical barrel at a rate of 5 cubic meters per hour, the level of oil in the tank rises at a rate of 1 meters per hour. Which of the following best approximates the radius of the tank in meters?
Options:
A)√35/22
B)√10/3
C)4
D)5
E)10
Rationale: Here's my re-worked solution:
volume = 5 = pi (r^2)(1)
5 = 22/7 (1)(r^2)
35/22 = r^2
r = sqrt(35/22)
Ans: A
Answer: A
Question: A tank is filled in 10 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Options:
A)70 hours
B)30 hours
C)35 hours
D)50 hours
E)60 hours
Rationale: 1/A + 1/B + 1/C = 1/10 ( a, b and c 1 hour work)
given.. 1/B= 2/A and 1/C = 2/B = 4/A
hence 1/A + 2/A + 4/A = 1/10
on solving.... we get 1/A = 1/70 ( work done by A in 1 hour)
therefore time taken by A is 70 hours to finish the whole work
ANSWER:A
Answer: A
Question: In a sports club with 30 members, 17 play badminton and 17 play tennis and 2 do not play either. How many members play both badminton and tennis?
Options:
A)4
B)8
C)9
D)10
E)11
Rationale: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(17-x)+(17-x)+x+2=30
34-2x+x=30
34-x=30
x=4
So 4 members play both badminton and tennis.
A
Answer: A
Question: A train 146 m long is running at a speed of 98 kmph. How long does it take to pass a man who is running at 12 kmph in the same direction as the train?
Options:
A)6 sec
B)9 sec
C)12 sec
D)18 sec
E)15 sec
Rationale: Answer : A.
Speed of the train relative to man = (98 - 12) kmph
= (86* 5/18) m/sec = (215/9)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 146 m at 219/9 m / sec = 146 *9/ 219 sec = 6sec
Answer: A
Question: The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Options:
A)100
B)110
C)120
D)140
E)160
Rationale: Sol. x * 4x = 3 * 1200
x = 30
Length = 4 * 30 = 120
C
Answer: C
Question: A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
Options:
A)6 m
B)9 m
C)10 m
D)7 m
E)11 m
Rationale: Let radius of the outer circle be R and radius of the inner circle be r.
Circumference of the outer circle =
Circumference of the inner circle =
But,
or, R - r =
Thus, width of the road = 7 m
D
Answer: D
Question: The soldiers of Ghost platoon want to call in some mortars on Taliban fighters shooting at them from a mud compound. The compound is 300m away at 5 deg (compass heading). Firebase Darvishan is 10 kilometers away at 290 deg from Ghost platoon. If the mortar shells are landing 100m directly east of the compound, how should Ghost platoon tell the gunnser at Firebase Darvishan to make corrections on their shots?
Options:
A)Drop 100.1M Right .27 deg
B)Drop 106.771M Right 3 deg
C)Drom 91.501M, Left .34 deg
D)Drop 99.918M Right .24deg
E)Drop 85.345M Right 1.28 deg
Rationale: Drop 99.918M Right .24deg
Answer: D
Question: The sum of the first 40 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?
Options:
A) 6,500
B) 7,500
C) 10,500
D) 15,000
E) 19,600
Rationale: 101+103+.......199
If we remove 100 from each of these it will be sum of 1st 100 odd numbers.
so 101+103+.......199 = 40 * 100 + (1+3+5+7+......)
sum of 1st 100 natural numbers = (100 * 101) / 2 = 5050
Sum of 1st 40 positive even integers = 2550
sum of 1st 100 odd numbers = 5050 - 2550 = 2500
so 101+103+.......199 = 40 * 100 + (1+3+5+7+......) = 4000 + 2500 =6500
A is the answer.
Answer: A
Question: It was calculated that 50 men could complete a piece of work in 10 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Options:
A)20 days.
B)15 days.
C)22 days.
D)30 days.
E)18 days.
Rationale: One day work = 1 / 10
One man’s one day work = 1 / ( 10 * 50)
Now:
No. Of workers = 25
One day work = 25 * 1 / ( 10 * 50)
The total no. of days required to complete the work = (50 * 10) / 25 = 20
Answer:A
Answer: A
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 25 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Options:
A) $198
B) $216
C) $220
D) $180
E) $240
Rationale: Wholesale cost of video recorder = 200 $
Video recorder was priced at 20 percent above 200 = 240 $
% discount given by store employee = 25
Emlpoyee paid = .75 * 240 = 180 $
Answer D
Answer: D
Question: A room 5m 55cm long and 3m 74 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor
Options:
A)176
B)170
C)160
D)179
E)174
Rationale: Let x and y be the sides of the rectangle. Then, Correct area = xy.
Area of the room = (544 x 374) cm2.
Size of largest square tile = H.C.F. of 544 cm and 374 cm = 34 cm.
Area of 1 tile = (34 x 34) cm2.
Number of tiles required =(544*374)/(34*34)=176
ANSWER A 176
Answer: A
Question: Suppose that 25% of all the wise people are nice and half of all the nice
people are wise. Suppose further that 25% of all the people are neither
wise nor nice. What percent of all the people are both wise and nice?
Options:
A)10%
B)15%
C)20%
D)25%
E)30%
Rationale: Let k be the number of all the people who are both nice and wise. Then, the
number of wise people is 4k and the number of nice people is 2k. The number of people
who are either wise or nice or both is 4k + 2k − k = 5k. If the number of all people is
x, then x − 0.25x = 5k, so x = 20k/3.
correct answer B
Answer: B
Question: A firm has 4 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Options:
A)40
B)44
C)48
D)52
E)56
Rationale: The total number of ways to form a group of 3 is 8C3 = 56
The number of groups without a senior partner is 4C3 = 4
The number of groups which include a senior partner is 56-4 = 52
The answer is D.
Answer: D
Question: The average of 15 result is 55. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?
Options:
A)760
B)720
C)700
D)786
E)797
Rationale: Sum of all the 13 results = 15 * 55 = 825
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 825 + 399 - 427= 797.
E
Answer: E
Question: If you wanted to plant a certain number of flowers, but knew that 1 in 5 would not grow, how many flowers would you need to plant if you want a total of 20?
Options:
A)20
B)30
C)28
D)25
E)32
Rationale: 20 / (5-1) = 5
5 * 5 = 25
25 - (5-1) = 20
The correct answer is D
Answer: D
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Options:
A)10
B)13
C)16
D)18
E)22
Rationale: Explanation:
10 * 15 + 36 – 26 = 160/10 = 16
C)
Answer: C
Question: [1+(1/5)]^n=2?
What is the value of n?
Options:
A)1.999
B)2.999
C)3.88
D)4.88
E)5.88
Rationale: 1+1/5 = 6/5 = 1.2
1.2*1.2 = 1.44 *1.2 = 1.728 *1.2 = 2.0736
so if N is integer, N=4. if not, N = 3.8
(1.2)^3.8 = 1.999
ANSWER:C
Answer: C
Question: If x, y, and s are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=s and if x is less than y, which of the following could be the value of s?
Options:
A)10
B)12
C)15
D)18
E)30
Rationale: Answer choice C: s= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: s=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D.
Answer: D
Question: The sum of the first five terms of a G.P is 363. If the common ratio is 1/3 find the first term.
Options:
A)323
B)243
C)232
D)332
E)432
Rationale: Sum of the first n terms of a G.P = a (1 -rn )/1 - r ,
a [ 1 - (1/3) 5 ]/ (1 - 1/3) = 363
a = 363 [ 1-1/3 ] /1- (1/3) 5 = ( 363* 2/3) / ( 1- 1/242 ) = 242/ ( 242/243 )
a = 243
ANSWER:B
Answer: B
Question: It takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate. If 5 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 1:00 PM, at what time will the machine be complete?
Options:
A)4:30
B)4:45
C)5:00
D)5:15
E)5:30
Rationale: 3 workers build 1/15 of a machine in one hour.
1 worker builds 1/45 of a machine in one hour.
In the first 2 hours, 5 workers build 5*(1/45)*2=10/45 of a machine.
From 1:00 to 2:00, 6 workers build another 6/45. The total is 16/45.
From 2:00 to 3:00, 7 workers build another 7/45. The total is 23/45.
From 3:00 to 4:00, 8 workers build another 8/45. The total is 31/45.
From 4:00 to 5:00, 9 workers build another 9/45. The total is 40/45.
To build another 5/45, 10 workers need (5/10)*60 minutes which is 30 minutes.
The machine is complete at 5:30.
The answer is E.
Answer: E
Question: If an object travels 200 feet in 4 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Options:
A)36
B)34
C)356
D)12
E)45
Rationale: 1 mile = 5280 feet
=> 1 feet = 1/5280 miles
If the object travels 200 feet in 4 sec
then it travels 200/4 * 60 * 60 feet in 1 hour (1 hr = 60 min * 60 sec)
= 3600 * 50 feet in 1 hour
= 180000 feet in 1 hr
= 180000/5280 miles in 1 hour
= 18000/528 miles/hr ~ 34 miles/hr
Answer - B
Answer: B
Question: In a certain country 1/7 of 8 = 5. Assuming the same proportion, what would be the value of 1/5 of 40 ?
Options:
A)54
B)25
C)45
D)35
E)52
Rationale: D
35
Answer: D
Question: A scuba diver descends at a rate of 80 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 4000feet below the sea level..how long will he take to reach the ship?
Options:
A)70 minutes
B)72 minutes
C)50 minutes
D)66 minutes
E)67 minutes
Rationale: Time taken to reach = 4000/80= 50 minutes
ANSWER:C
Answer: C