divelab/Sys2Bench huggingface dataset:
Question: A company, Chauncy Co., has an annual travel budget of $52,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Options:
A)Expenses will not go over the budget.
B)$500
C)$8,725
D)$5,725
E)$60,725
Rationale: annual travel budget of $52,000
Let, Transportation expenses = T = 19500
and Non-Transportation expenses = N=35000
i.e. Increased Transportation expenses = 1.05T = 20475
and Increased Non-Transportation expenses = 1.15N = 40250
Total Expense = 20475+40250 = 60725
Expense over Budget = Budget - expense = 52000-60725 = 8725
Answer: Option C
Answer: C
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 6 inches on a side and costs $10, and a large pizza that measures 9 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Options:
A)9 square inches
B)10 square inches
C)15 square inches
D)25 square inches
E)350 square inches
Rationale: In the first case each can buy one pizza of $10 and one pizza of $20.
In square inches that would be (6*6=36) for the small pizza and (9*9=81) for the large pizza. In total sq inches that would be (36+81)*2= 234 sq inches.
In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be 3*81= 243 sq inches.
Hence, the difference is 9 square inches more (243-234).
The correct answer is A
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Options:
A)22
B)288
C)36
D)88
E)91
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer:C
Answer: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Options:
A)18%
B)11%
C)88%
D)45%
E)12%
Rationale: 1500 ---- 270
100 ---- ? => 18%
Answer:A
Answer: A
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)?
Options:
A)23.52
B)23.57
C)23.2
D)23.21
E)23.13
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: B
Answer: B
Question: .
On dividing a number by 357, we get 36 as remainder. On dividing the same number 17, what will be the remainder ?
Options:
A)0
B)3
C)5
D)8
E)2
Rationale: Let x be the number and y be the quotient. Then,
x = 357 x y + 36
= (17 x 21 x y) + (17 x 2) + 2
= 17 x (21y + 2) + 2)
Required remainder = 2.
Answer: Option E
Answer: E
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
A)29
B)18
C)48
D)99
E)11
Rationale: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer: C
Answer: C
Question: Which of the following expressions CANNOT be equal to 0 when x^2 − 3x = 18 ?
Options:
A)x^2 − 4x −12
B)x^2 − x − 12
C)x^2 − 3x = 18
D)x^2 − 5x − 6
E)x^2 − 4x − 21
Rationale: x^2 − 3x = 18
x^2 − 3x - 18= 0
x= 6 or x= -3
All other choices result in a possibility of 0 when you plug in 6 or -3 for x
Except x^2 − 3x = 18
Answer is C
Answer: C
Question: A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Options:
A)16
B)17
C)18
D)20
E)19
Rationale: Let the average after the 16th inning be P.
So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19.
Answer E
Answer: E
Question: 5,8,11,14,17............nth terms
Options:
A)2+3n
B)2+4n
C)3+3n
D)4+3n
E)2+2n
Rationale: nth term is given by 2+3*n
when n=1, term , T1=2+3=5
n=2, T2= 2+2*3=8
..
nth term, Tn = 2+3n
ANSWER:A
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 1134.632 = ?
Options:
A)4600
B)4800
C)5200
D)6400
E)3600
Rationale: Explanation 3700 + 1100 = 4800
Answer B
Answer: B
Question: A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Options:
A)1000
B)875
C)799
D)778
E)901
Rationale: 88%
104%
--------
16% ---- 140
100% ---- ? => Rs.875
Answer: B
Answer: B
Question: Find the odd man out
30, 60, 90, 120, 150, 168, 180, 210
Options:
A)31
B)41
C)168
D)58
E)61
Rationale: as 168 is only odd number.
ANSWER:C
Answer: C
Question: What is the place value of 2 in the numeral 2359
Options:
A)2500
B)2000
C)3500
D)3000
E)4000
Rationale: Option 'B'
2 * 1000 = 2000
Answer: B
Question: 45% of 816 - 23% of ? = 240.7
Options:
A)330
B)440
C)240
D)550
E)230
Rationale: D
550
(816 * 45)/100 - (? * 23)/100 = 240.7
=> 367.2 - (? * 23)/100 = 240.7
=> (? * 23)/100 = 367.2 - 240.7
=> ? = (126.5 * 100 )/23 = 550
Answer: D
Question: How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
Options:
A)5^7
B)5^6
C)5^9
D)5^8
E)5^5
Rationale: _ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 5^7*5 = 5^8
ANSWER:D
Answer: D
Question: A farmer planned to plough a field by doing 120 hectares a day. After two days of work he increased his daily productivity by 25% and he finished the job two days ahead of schedule.
a) What is the area of the field?
b) In how many days did the farmer get the job done?
c) In how many days did the farmer plan to get the job done?
Options:
A)2337
B)2667
C)1440
D)2887
E)2661
Rationale: First of all we will find the new daily productivity of the farmer in hectares per day: 25% of 120 hectares is 25100⋅120=3025100⋅120=30 hectares, therefore 120+30=150120+30=150 hectares is the new daily productivity. Lets x be the planned number of days allotted for the job. Then the farm is 120⋅x120⋅x hectares. On the other hand, we get the same area if we add 120⋅2120⋅2 hectares to 150(x−4)150(x−4) hectares. Then we get the equation
120x=120⋅2+150(x−4)120x=120⋅2+150(x−4)
x=12x=12
So, the job was initially supposed to take 12 days, but actually the field was ploughed in 12 - 2 =10 days. The field's area is 120⋅12=1440120⋅12=1440 hectares.
Answer:C
Answer: C
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Options:
A)2 balls.
B)3 balls.
C)4 balls.
D)5 balls.
E)6 balls.
Rationale: Let us first find the fraction of green, blue and yellow balls
1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator
= 11 / 24 , add numerators
The fraction of white balls is given by
24 / 24 - 11 / 24 = 13 / 24
So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then
(13 / 24) of x = 26 balls
or (13 / 24) * x = 26
x = 26 * (24 / 13) = 48 , total number of balls
The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by
(1 / 8) of 48 = 6 balls.
correct answer E
Answer: E
Question: Raju age after 20 years will be 5 times his age 5 years back, What is the present age of Raju
Options:
A)11.25
B)17.32
C)10
D)77.01
E)66
Rationale: Clearly,
x+20 = 5(x-5)
<=> 4x = 45 => x = 11.25
Answer:A
Answer: A
Question: 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004
Options:
A)wednessday
B)Thursday
C)Friday
D)Saturday
E)Sunday
Rationale: Number of days from 6th March, 2004 to 5th March 2005 = 365 days
Feb 2004 has 29 days ( leap year),
365 days = 1 odd day
Given that 6th March, 2005 is Monday
Hence 6th March, 2004 = (Monday - 1 odd day) = Sunday
Answer : E
Answer: E
Question: A square, with perimeter 40, is inscribed in a circle. What is the area of the circle?
Options:
A)50π
B)40π
C)30π
D)25π
E)35π
Rationale: Area of circuscribed circle = pi/2*area of square
Area of square = (40/4)^2 = 10^2= 100
Area of circle = pi/2*100=50pi
Answer : A
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.63000 after completion of one year. What will be Jose's share of profit?
Options:
A)20000
B)22000
C)35000
D)24000
E)30000
Rationale: SoL = ~s- So Anju’s share = [5/9] x 63000 = 35000
C
Answer: C
Question: An investment of d dollars at k percent simple annual interest yields $100 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $500 over a 1 year period?
Options:
A)(2d)/3
B)10d
C)(4d)/3
D)(3d)/2
E)(8d)/3
Rationale: 100 dollars in 2 years means 50 dollars in 1 year.
To get 500 dollars' it will take 10 years.
To get 500 in 1 years, we need 10/1=10 times money. Answer is B
Answer: B
Question: A shopkeeper sold an article for 240 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’?
Options:
A)25%
B)50%
C)23%
D)28%
E)None of these
Rationale: Cost price = 240×100/120= 200
S.P. at no discount = 240×100/80 = 300
∴ % profit = 100×100/200 = 50 %
Answer B
Answer: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 22% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Options:
A)40%
B)45%
C)55%
D)63%
E)62.5%
Rationale: VERITAS PREPOFFICIAL SOLUTION:
D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 75% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 75% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 75% sale price. Using fractions, that means they pay: 4/5*(3/4) of the original price, which nets to 3/5 of the original price, or 63%.
Answer: D
Question: In expressing a length 81.478 km as nearly as possible with three significant digits, find the percentage error?
Options:
A)0.075%
B)0.156%
C)0.027%
D)0.048%
E)0.152%
Rationale: Error = 81.5-81.478 = 0.022
Required percentage = (0.022/81.478)*100 = 0.027%
Answer is C
Answer: C
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1,155, and if 1< p < q < r < s, how many students in the class are accounting majors?
Options:
A)3
B)5
C)8
D)11
E)17
Rationale: Prime factorization of the product
pqrs = 1155
= 3* 5 *7 * 11
Since 1< p < q < r < s
Number of students who are accounting majors , p = 3
Answer A
Answer: A
Question: How many ways are there to award a gold, silver and bronze medal to 13 contending teams?
Options:
A)13 x 12 x 11
B)10!/(3!7!)
C)10!/3!
D)360
E)300
Rationale: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 13 ways
if gold medal is given to 1 of the teams then only possible 12 teams can be considered for silver medal. we can do selection in 12 ways
similarly if gold and silver medals are awarded then only remaining 11 teams can be considered for a bronze medal. we can do the selection in 11 ways
Total number of ways to select the 3 possible medal winners = 13 * 12 * 11
Correct answer - A
Answer: A
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Options:
A)9.90 a.m
B)9.90 a.m
C)9.30 a.m
D)9.80 a.m
E)3.30 a.m
Rationale: Relative speed = 2 + 3 = 5 rounds per hour.
So, they cross each other 5 times in an hour and 2 times in half an hour.
Hence, they cross each other 7 times before 9.30 a.m
Answer:C
Answer: C
Question: When a certain number X is divided by 143, the remainder is 37. Which of the following numbers, if added to X, would result in a number divisible by 13?
Options:
A)7
B)21
C)34
D)2
E)55
Rationale: Now X= 143q + 45 = 11*13*q + 37..so we have to make only 37 div by 13..
37 + 2 = 39 divisible by 13 . add 2 to 37
ans D
Answer: D
Question: A can do 1/3rd the work in one day where as B can do it full. B can also do 1/3rd the work of C in one day. Ratio in their efficiency will be?
Options:
A)4:3:9
B)2:3:9
C)1:3:9
D)1:3:5
E)1:2:9
Rationale: WC of A: B = 1:3
B: C = 1:3
---------------------
A: B: C = 1:3:9
ANSWER:C
Answer: C
Question: In the quadratic equation ax2 - 5x - 24 = 0, if the sum of two roots is 1, what is the product of the two roots?
Options:
A)13
B)-24
C)-12
D)12
E)24
Rationale: Explanation:
The sum of the roots of the quadratic equation ax2+ bx + c = 0 are (-b/a) and the product of the roots are (c/a).
Thus, in the equation ax2 - 11x + 40 = 0, where a = a, b = - 5 and c = -24.
we get, sum of the roots =5 / a = 5
a = 1
Product of the roots = -24 / 1 = -24
ANSWER:B
Answer: B
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 76, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
Options:
A)K+38
B)2K+38
C)(76+K)/2
D)(76-K)/2
E)2(76-K)
Rationale: Let y be the years of service at the company.
After y years of service, Sue's age will be K + y.
Sue can retire when (K+y) + y = 76
y = (76 - K)/2
Then Sue's age will be K + y = K + (76 - K)/2 = (76+K) / 2
The answer is C.
Answer: C
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 30 per square m?
Options:
A)s.28500
B)s.50000
C)s.57000
D)s.60000
E)s.62000
Rationale: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 30 * 950
= Rs.28,500
A
Answer: A
Question: A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Options:
A)16
B)19
C)15
D)26
E)10
Rationale: Let the son's present age be x years.
Then, man's present age = (x + 28) years.
(x + 28) + 2 = 2(x + 2)
x + 30 = 2x + 4
=> x = 26.
Answer: D
Answer: D
Question: Tough and Tricky questions: Probability.
Medical analysts predict that a quarter of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Options:
A)37/64
B)8/27
C)2/3
D)19/27
E)65/81
Rationale: At the end of each day we will have 3/4 alive. So after 3 days we will have (3/4)^3 people alive. Therefore, fraction of dead people will be 1-(3/4)^3=37/64.
The correct answer is A.
Answer: A
Question: you need to pick a card at random from pack of 52 cards.
what are the chances of that card to be a jack or a king ?
Options:
A)2/15
B)1/16
C)3/25
D)2/13
E)2/26
Rationale: D
2/13
There 4 kings & 4 jacks, which implies there are 8 cards that can satisfy the above problem.
=>8/52
=> 2/13
Answer: D
Question: Find the compound interest on $ 26,000 at 20% per annum for 9 months, compounded quarterly
Options:
A)2532.93
B)2552.26
C)2524.23
D)4098.25
E)2512.23
Rationale: Principal = $ 26000; Time = 9 months =3 quarters;
Rate = 20% per annum = 5% per quarter.
Amount = $ [26000 x (1+(5/100))^3] = $ 30098.25
CI. = $ (30098.25 - 26000) = $ 4098.25
Answer D.
Answer: D
Question: How many multiples of 8 are less than 1600, and also multiples of 64?
Options:
A)25
B)28
C)62
D)83
E)89
Rationale: The LCM of 8 and 64 is 64. Divide 1600/64 = 25.xxx. So A is your answer.
Answer: A
Question: If the area of a triangle with base 6 cm is equal to the area of a square with side 6 cm, then the altitude of the triangle is
Options:
A)12 cm
B)10 cm
C)11 cm
D)15 cm
E)20 cm
Rationale: area of square = 6^2 = 36
area of triangle = 36
1/2 bh = 36
h = 12 cm
ANSWER A
Answer: A
Question: x - y = 3
2x = 2y + 8
The system of equations above has how many solutions?
Options:
A) None
B) Exactly one
C) Exactly two
D) Exactly three
E) Infinitely many
Rationale: x-y=3 ---------------1
2x=2y+8 ---------------2
Divide equation 2 by 2:
2x/2=(2y+8)/2
x=y+4
x-y=4----------------3
Equation 1 and 3 are equation has no solution
Ans:A
Answer: A
Question: In a certain store, the profit is 400% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)30%
B)70%
C)100%
D)250%
E)75%
Rationale: Let C.P. = Rs. 100. Then, profit = Rs. 400, S.P. = Rs. 500
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 500
Profit = 500 - 125 = Rs. 375
Required percentage = 375/500 * 100 = 75%
ANSWER:E
Answer: E
Question: A grocer has a sale of Rs. 2435, Rs. 2920, Rs. 2855, Rs. 3230 and Rs. 2560 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 2500?
Options:
A)5000
B)4000
C)1000
D)6000
E)8000
Rationale: Total sale for 5 months = Rs. (2435 + 2920 + 2855 + 3230 + 2560) = Rs. 14000.
Required sale = Rs. [ (2500 x 6) - 14000 ]
= Rs. (15000 - 14000)
= Rs. 1000
Answer: Option C
Answer: C
Question: A man can hit the target once in five shots. If he fires four shots in succession, what is the probability that he will hit the target?
Options:
A)1
B)1/625
C)181/256
D)369/625
E)185/625
Rationale: In four shots he can hit once,twice,thrice,all hit
the probability of hitting the target is p(1hit out of 4)+P(2hit out of 4)+p(3hit out of 4)+p(All hit)
it is total probability-probability of not hitting the target
=>1-(4/5*4/5*4/5*4/5)
=>369/625
ANSWER:D
Answer: D
Question: I bought two houses for Rs. 48 L. I sold one at a loss of 10% and other at a gain of 20% and then I found each house was sold at the same price. Find the cost of the house sold at a loss?
Options:
A)A)65
B)B)28
C)C)43
D)D)18
E)E)42
Rationale: x*(90/100)
= (48 - x)120/100
x = 27.4
Answer:B
Answer: B
Question: find term of sequence from below series?
1,3,5,7,9,....50
Options:
A)1235
B)1458
C)1600
D)1809
E)2500
Rationale: This is an arithmetic progression, and we can write down
a=1a=1 ,d=2d=2 , n=50n=50 .
We now use the formula, so that
Sn=12n(2a+(n−1)l)Sn=12n(2a+(n−1)l)
S50=12×50×(2×1+(50−1)×2)S50=12×50×(2×1+(50−1)×2)
=25×(2+49×2)=25×(2+49×2)
=25×(2+98)=25×(2+98)
=2500=2500
E
Answer: E
Question: R and B are integers. The expression (R+1)(B+1) is even. What can be said about R and B?
Options:
A)They are both even numbers.
B)At least one of them is even.
C)At least one of them is odd.
D)They are both odd.
E)Nothing can be said surly on R and B
Rationale: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (R+1) or (B+1) needs to be Even
So either R or B needs to be odd
Or Atleast one of them is odd.
Atleast one of them is odd=C
Answer: C
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 23 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Options:
A)9/8
B)4/1
C)2/3
D)3/4
E)3/2
Rationale: Given that Milk/Water=4x/x and 4x+x=45 --> x=9.
Thus Milk=4x=36 liters and Water=x=9 liters.
New ratio = 36/(9+23) = 36/32 = 9/8.
Answer: A.
Answer: A
Question: A women walking at 4 Kmph reaches her office 8 minutes late. If she walks at 8 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Options:
A)2 2/15 Km
B)3 1/5 Km
C)4 1/3 Km
D)5 Km
E)5 1/3 Km
Rationale: Formula = S1*S2/S2-S1 * T1+T2/60
= 4*8/4 * 16/6
= 8* 16/60
= 8 * 4/15
= 2 2/15 Km
A
Answer: A
Question: By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error W that the carpenter can make in calculating the volume of the rectangular box?
Options:
A)1%
B)3%
C)10%
D)18%
E)22%
Rationale: the dimensions are between 2-2.1, 1-1.1 and 2-2.1..
so MAX error in Volume=?..
IMPORTANT POINTS TO NOTE
1) Max ERROR would be when actuals and estimate are at the extreme ends..
2) BUT what about MAX % ERROR--
It will be when the base is the lowest...
so the ACTUALS should be lowest or at lower end and the ESTIMATE at the higher end..
SOLUTION
Actuals= 2*2*1=4..
Estimate=2.1*2.1*1.1=4.841..
Max % error W=(4.841-4)/4 *100= 84.1/4 = 21.25%..
21.25% is closest to 22% in the choices..
ans E
Answer: E
Question: A special municipal payroll tax charges not tax on a payroll less than $300,000 and only 1% on a company’s payroll above $300,000. If Belfried Industries paid $200 in this special municipal payroll tax, then they must have had a payroll of?
Options:
A)$180,000
B)$202,000
C)$230,000
D)$400,000
E)$2,200,000
Rationale: ANSWER : C , ( with different approach) :
The 300 paid is 1% of the additional amount above 200,000. Let it be X
Now 1% of X = 300
Therefore X= 30,000
Total = 200,000 + X= 230,000
Answer: C
Question: If o and p are even integers, which of the following is an odd integer?
Options:
A)op + 2
B)o(p − 1)
C)o(o + 5)
D)3o + 4p
E)(o + 3)(p − 1)
Rationale: If o and p are even integers, then:
A. op + 2: even + even = even
B. o(p − 1): even(odd) = even
C. o(o + 5): even(odd) = even
D. 3o + 4p: even + even = even
E. (o + 3)(p − 1): (odd)(odd) = odd.
Answer is E.
Answer: E
Question: $500 will become $1000 in 2 years find the rate of interest?
Options:
A)A)10%
B)B)20%
C)C)25%
D)D)30%
E)E)50%
Rationale: SI = simple interest = A-P = 1000-500 = $500
R = 100SI/PT = 100*500/500*2 =50%
Answer is E
Answer: E
Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,500 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,500 unit total would it produce?
Options:
A)25
B)36
C)30
D)67
E)75
Rationale: 1/A+1/B= 1/T
1/A +1/14= 1/8 (50% more of 8 is 14)
1/A= 1/24
Machine A can produce 1500 units in 24 hrs, so it can produce 1500*8/24= 500 units is 8 hrs.
500 is 30% of 1500.
C is the answer
Answer: C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Options:
A)48
B)77
C)55
D)27
E)21
Rationale: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125 = 48 sec.
Answer: C
Answer: C