mathewhe/aqua_rat huggingface dataset:
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 more than D, what is B’s share?
(A) 500
(B) 1500
(C) 2000
(D) 1400
(E) None of these
Rationale: Let the shares of A, B, C and D be 5x, 2x, 4x, 3x respectively.
Then, 4x – 3x = 1000 ⇒ x = 1000
∴ B’s Share = 2x = 2000
Answer C
Answer: (C) 2000
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
(A)  110
(B)  300
(C)  24,000
(D)  3,000
(E)  30,000
Rationale: total distance = d
total time taken = x/(100*60) + (100-x)/(100*40)
speed = distance / time
gives numerator = 24000
Answer : C
Answer: (C)  24,000
Question: The perimeter of a semi circle is 122 cm then the radius is?
(A) 17
(B) 28
(C) 24
(D) 11
(E) 12
Rationale: 36/7 r = 122 => r
= 24
Answer: C
Answer: (C) 24
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 47 years. The age of E is?
(A) 45
(B) 47
(C) 48
(D) 35
(E) 46
Rationale: Solution
5 years ago average age of A,B,C,D = 45 years
=> 5 years ago total age of A, B, C, D = 45 x 4 = 180 years
=> Total present age of A, B, C, D = 180 + 5x4 = 200 years
If E's present age is x years = 200+x/5= 47
x=35 years. Answer D
Answer: (D) 35
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If15 were to be added to each score, which of these three statistics would change?
(A) The mean and the median
(B) The median only
(C) The standard deviation only
(D) The mean only
(E) The mean and the standard deviation
Rationale: The correct answer is A
Answer: (A) The mean and the median
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 20% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
(A) a) 2m/300
(B) b) m/300
(C) c) m/200
(D) d) 3m/250
(E) e) 350/m
Rationale: Let Cost of 300 shares be $ 3000
So, Cost of 1 shares be $ 10 =>m/300
Selling price per share = (100+20)/100 * m/300
Or, Selling price per share = 6/5 * m/300 => 3m/250
Hence answer will be (D)
Answer: (D) d) 3m/250
Question: Find the value of 72514 x 9999 = m?
(A) 725067486
(B) 436567874
(C) 653658791
(D) 725117481
(E) 357889964
Rationale: 72514 x 9999 = 72514 x (10000 - 1)
= 72514 x 10000 - 72514 x 1
= 725140000 - 72514
= 725067486
A
Answer: (A) 725067486
Question: If e is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of e ?
(A)  10
(B)  12
(C)  14
(D)  16
(E)  18
Rationale: Answer is C.
numbers in format of 3^k in the series from 1 to 30 inclusive e are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.
Answer: (C)  14
Question: An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:
(A) 21
(B) 22
(C) 20
(D) 45
(E) 30
Rationale: 2nd day he earns = 3(2 – 5)
3rd day he earns = 3(3 – 5)
On 20th day he earns 3(20 -5) = 45 rupees
ANSWER:D
Answer: (D) 45
Question: 2,345
2,354
2,435
.....
....
+5,432
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 2,3,4,5 exactly once in each integer. What is the sum of these 24 integers?
(A) 81,218
(B) 85,546
(C) 89,928
(D) 93,324
(E) 97,716
Rationale: In each of the units, tens, hundreds, and thousands place, each digit will appear 6 times.
Then the sum equals 6(2222)+6(3333)+6(4444)+6(5555) = 93,324
The answer is D.
Answer: (D) 93,324
Question: A man sitting in a train which is travelling at 60 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
(A) 52 kmph.
(B) 62 kmph.
(C) 72 kmph.
(D) 80 kmph.
(E) None
Rationale: Solution
Relative Speed	= (280 / 9)m/sec
= (280/9 x 18/5)
= 112 kmph.
Speed of the train	= (112 - 60)kmph
= 52 kmph.
Answer A
Answer: (A) 52 kmph.
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
(A) 70%
(B) 47%
(C) 49%
(D) 40%
(E) 20%
Rationale: 8 = (1*20*R)/100
R = 40%
Answer:D
Answer: (D) 40%
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
(A) 1000
(B) 800
(C) 600
(D) 700
(E) 500
Rationale: volume of pool = 40*150*10 cu.ft , 80% full = 40*150*10*0.8 cu.ft water is available to drain.
draining capacity =60 cu.ft /min therefore time taken = 40*150*10*0.8/ 60 min= 800 min
B
Answer: (B) 800
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 37 hours to complete, how many miles was the car driven during the entire test?
(A) 100
(B) 120
(C) 180
(D) 200
(E) 240
Rationale: x is the segment to be traveled
x/4+x/5+x/6 =37
or 74x/120 =37
x = 60miles . total distance =3*60 = 180 miles
C
Answer: (C) 180
Question: Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
(A) 65 toys
(B) 55 toys
(C) 47 toys
(D) 27 toys
(E) 32 toys
Rationale: If 5 toys are taken out of 49 toys and the remaining ones distributed to Tom and Bob, they will both have equal numbers of toys
49 - 5 = 44 for Tom and Bob
If distributed equally, each one will have
44 ? 2 = 22 toys
Bob has 5 more toys than Tom, so Bob has
22 + 5 = 27 toys
correct answer D
Answer: (D) 27 toys
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 10 maps and 8 books for a total of $22.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book?
(A)  $-5.4
(B)  $0.50
(C)  $0.75
(D)  $1.00
(E)  $l.25
Rationale: 10x+8y=22
20x+15y=60
multiply eq 1 by 2 and eq 2 by 1
20x+16y=44
20x+15y=60
subtracting 1 from 2
y=-16
therefore
x=10.6
difference in price =-5.4
A
Answer: (A)  $-5.4
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 11000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
(A) 14
(B) 21
(C) 22
(D) 23
(E) NONE
Rationale: Sol.
Let the total number of workers be x. Then,
8000x = (10000 × 7) + 6000 ( x – 7)
‹=› 2000x = 28000
‹=› x = 14.
Answer A
Answer: (A) 14
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 5 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
(A) 20%
(B) 17%
(C) 4.0%
(D) 3.3%
(E) 2.8%
Rationale: Share of each child(5 no) and (total share of grand children together)1 no= 1/(5+1)=1/6
As the grand children again equally share the part given to them:
Share of each grand child =[(1/6)/6]=1/36=2.8%
ANSWER:E
Answer: (E) 2.8%
Question: 3 men or 6 women can do a piece of work in 22 days. In how many days will 12 men and 8 women do the same work?
(A) 15/9 days
(B) 15/4 days
(C) 18/4 days
(D) 11/4 days
(E) 33/8 days
Rationale: 3M = 6W ---- 22 days
12M + 8W -----?
24W + 8 W = 32W ---?
6W ---- 22 32 -----?
6 * 22 = 32 * x => x = 33/8 days
Answer:E
Answer: (E) 33/8 days
Question: A rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
(A)  $200
(B)  $240
(C)  $360
(D)  $960
(E)  $1,920
Rationale: The width of the rectangular floor(15 m) is a multiple of one side of the square(3 m), and the length of the floor(18 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (15/3)*(18/3)=30.
The total cost is 30*12=$360.
The answer is, therefore, C.
Answer: (C)  $360
Question: Which of the following is not divisible by 3?
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
Rationale: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3
Correct Option: B
Answer: (B) 41,714
Question: On my sister's birthday, she was 147 cm in height, having grown 5% since the year before. How tall was she the previous year?
(A) 145 cm
(B) 140 cm
(C) 142 cm
(D) 138 cm
(E) 135 cm
Rationale: Let the previous year's height be x.
1.05x = 147
x = 140
The answer is B.
Answer: (B) 140 cm
Question: In how many different ways can the letters of the word LEADING be arranged in such a way that the vowels always come together ?
(A) 39600
(B) 360
(C) 40320
(D) 720
(E) None of these
Rationale: LDNG V(EAI) so 5 letters can arrange in 5!=120 and 3 vowels can arrange in 3!=6. so Ans=120*6=720
ANSWER:D
Answer: (D) 720
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
(A) 8
(B) 9
(C) 7
(D) 6
(E) 5
Rationale: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Answer: (A) 8
Question: Johny went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
(A) 3 km
(B) 6 km
(C) 4.5 km
(D) km
(E) none of the above
Rationale: Assume the distance to the top of the hill (1 way) as: x
Now, speed=distance/time => time=distance/speed
So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.
For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5
Now, the total time for the trip is given as 4 hrs.
Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km
So, the distance one side is = 4.5 km.
The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km
Can someone assist me in understanding where am I wrong here?
Answer: (C) 4.5 km
Question: Find the cost of fencing around a circular field of diameter 39 m at the rate of Rs.1.50 a meter?
(A) 287
(B) 132
(C) 156
(D) 158
(E) 128.73
Rationale: 2 * 22/7 * 19.5 = 122.6
122.6 * 1 1/2 = Rs.128.73
Answer: E
Answer: (E) 128.73
Question: a train 50 m from bridge going east to west with a speed 10m/sec another train which is other side of bridge and 100 m from the bridge going west to east.if both will come at the same time on bridge,train will collide.lenght of bridge is 50m.what could maximum speed of second train so that first train pass the bridge before reaching second train.neglect the length of train.
(A) 20
(B) 15
(C) 12
(D) 8
(E) 10
Rationale: time taken by first train to cross the bridge=(50+50)/10
=10sec.
so this is the min. time which second train should take to reach the bridge,
max. speed of second train = 100/10=10m/sec
answer E
Answer: (E) 10
Question: Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
(A) 13/20
(B) 15/20
(C) 13/15
(D) 7/20
(E) 13/17
Rationale: Half as manymeans half of EU, then
EU 40%
US 20%
AF 5%
the rest is 35%, answer D
Answer: (D) 7/20
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
(A) 20
(B) 21
(C) 14
(D) 1
(E) 6
Rationale: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage =14/70*100 =20%
ANSWER A
Answer: (A) 20
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
(A) 2878
(B) 2778
(C) 1000
(D) 2997
(E) 2701
Rationale: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut
= 10 * 10 * 10 = 1000
Answer: C
Answer: (C) 1000
Question: If Sam goes to the store that was having a big sale and comes home saying he got a discount of Rs.140 from the original purchase price of Rs.400. What is the percentage of the rebate that Sam got from the store?
(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) 40%
Rationale: Explanation:
Rebate = Rs.140; Original Price = Rs.400
% Rebate = Rs.140/Rs.400 = 0.35 = 35%
Correct Option : D
Answer: (D) 35%
Question: The largest three digit number which is a perfect cube, is:
(A) 125
(B) 999
(C) 343
(D) 512
(E) 729
Rationale: Explanation:
9*9*9 = 729
Answer: E
Answer: (E) 729
Question: If the ratio of the areas of two squares is 225:256, then the ratio of their perimeters is :
(A) 15:12
(B) 15:14
(C) 15:16
(D) 15:22
(E) None of these
Rationale: Explanation:
a2/b2=225/256=15/16
<=>4a/4b=4∗15/4∗16
=15/16=15:16
Option C
Answer: (C) 15:16
Question: In a apartment, 40% of the people speak English, 10% speak Hindi and 20% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
(A) 1/3
(B) 2/3
(C) 3/5
(D) 2/7
(E) 2/9
Rationale: P (E) = 40 / 100 = 4 / 10 , P (H) = 10 / 100 = 1 / 10 and P (E âˆ© H) = 20 / 100 = 2 / 10
P (E or H) = P (E U H)
= P (E) + P (H) - P (E âˆ© H)
= (4 / 10) + (1 / 10) - (2 / 10) = 4 / 10 = 3/5
C
Answer: (C) 3/5
Question: Jane and Thomas are among the 9 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 9 people if at least one of either Jane or Thomas is to be selected?
(A) 67
(B) 73
(C) 79
(D) 85
(E) 91
Rationale: The total number of ways to choose 4 people from 9 is 9C4 = 126.
The number of committees without Jane or Thomas is 7C4 = 35.
There are 126-35 = 91 possible committees which include Jane and/or Thomas.
The answer is E.
Answer: (E) 91
Question: Which is better investment, 12% stock at par with an income tax at the rate of 5paise per rupee or 14 2/7 % stock at 120 free from income tax
(A) 12%
(B) 142/7 %
(C) Both are qually good
(D) cannot compared
(E) none of these
Rationale: Let the investment in each (100*120)
Income in first case = (12/100*100*120)=1440
Net income =(1440-5/100*1440)=1368
Income in second case=((100/2*20)*100*120)=1428.57
Clearly, 14 2/7 % stock at 120 is better
ANSWER B
Answer: (B) 142/7 %
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
(A) Tuesday
(B) Saturday
(C) Monday
(D) Friday
(E) Sunday
Rationale: On 31st December, 2005 it was Saturday.
Number of odd days from 2006 to 2009 = (1 + 1 + 2 + 1) = 5 days.
On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday
Answer is D.
Answer: (D) Friday
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Arthur and David have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
(A) $0.32
(B) $0.40
(C) $0.45
(D) $0.48
(E) $0.54
Rationale: If Arthur and David submit separate orders, each would be smaller than 100 photocopies, so no discount. Each would pay (80)*($0.02) = $1.60, or together, a cost of $3.20 --- that's the combined no discount cost.
If they submit things together as one big order, they get a discount off of that $3.20 price ---- 25% or 1/4 of that is $0.80, the discount on the combined sale. They each effective save half that amount, or $0.40. Answer =(B).
Answer: (B) $0.40
Question: Five friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
(A) 14%
(B) 17%
(C) 20%
(D) 25%
(E) 33%
Rationale: Let x be the original price of one ticket.
The total original cost is 5x.
The new cost is 6y, where y is the discounted price of one ticket.
5x = 6y
y = 5x/6 which is about 0.83x which is a discount of about 17%.
The answer is B.
Answer: (B) 17%
Question: 0.009/x=0.02. find the value of X
(A) 0.045
(B) 0.09
(C) 0.9
(D) 9
(E) 90
Rationale: x=0.009/0.045=0.9
ANSWER:A
Answer: (A) 0.045
Question: A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
(A) 22877
(B) 27778
(C) 20000
(D) 27999
(E) 17799
Rationale: Number of bricks =Courtyard area/1 brick area
=(2500×1600/20×10)=20000
Answer: C
Answer: (C) 20000
Question: If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
(A) $30.60
(B) $60.60
(C) $70.60
(D) $40.60
(E) $50.60
Rationale: The tip is 20% of what he paid for lunch. Hence
tip = 20% of 50.50 = (20/100)*50.50 = 101/100 = $10.10
Total spent
50.50 + 10.10 = $60.60
correct answer B
Answer: (B) $60.60
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 30 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
(A) 15
(B) 30
(C) 35
(D) 45
(E) 55
Rationale: Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 5) students = 90(x - 5)
80x - (5 * 30) = 90(x - 5)
300 = 10x => x = 30
ANSWER:B
Answer: (B) 30
Question: Eden drove an average speed of 15 miles per hour for the first 20 miles of a tripthen at a average speed of 30 miles/hr for the remaining 20 miles of the trip if she made no stops during the trip what was eden's avg speed in miles/hr for the entire trip
(A) 35
(B) 20
(C) 45
(D) 50
(E) 55
Rationale: Avg. speed = total distance / total time
Total distance = 40 miles
Total time = 20 / 15 + 15/30 = 2
Avg. speed = 20.
Answer - B
Answer: (B) 20
Question: If the probability that Brendon, Daniel and Kane score more than 700 on the GMAT is 0.4, 0.5 and 0.6 respectively, what is the probability that at least 2 of them score less than 700?
(A) 0.12
(B) 0.38
(C) 0.40
(D) 0.5
(E) 0.6
Rationale: The probability that Brendon, Daniel and Kane score less than or equal to 700 on the GMAT is 0.4, 0.5 and 0.6 respectively,
All three score less than 700 = 0.6*0.5*0.4 = 0.12;
Brendon and Daniel score less than or equal to 700, while Kane scores more than 700 = 0.6*0.5*0.6 = 0.18;
Brendon and Kane score less than or equal to 700, while Daniel scores more than 700 = 0.6*0.4*0.5 = 0.12;
Kane and Daniel score less than or equal to 700, while Brendon scores more than 700 = 0.5*0.4*0.4 = 0.08.
The sum of the above = 0.5.
Answer: D.
Answer: (D) 0.5
Question: A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is?
(A) 12
(B) 15
(C) 72
(D) 16
(E) 11
Rationale: Let son's age be x years. Then, father's age = (3x) years.
Five years ago, father's age = (3x - 5) years and son's age = (x - 5) years.
So, 3x - 5 = 4 (x - 5) 3x - 5 = 4x - 20 x = 15.
Answer: B
Answer: (B) 15
Question: Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 blue pens and 1 black pen?
(A) 8/81
(B) 9/81
(C) 7/81
(D) 6/81
(E) None of these
Rationale: EXPLANATION:
Here, total number of pens = 9
Probability of drawing 1 blue pen = 4/9
Probability of drawing another blue pen = 4/9
Probability of drawing 1 black pen = 3/9
Probability of drawing 2 blue pens and 1 black pen = 4/9 * 4/9 * 3/9 = 8/81
ANSWER IS A
Answer: (A) 8/81
Question: Find the unit digit in the product(2467)^153*(341)^72
(A) 7
(B) 18
(C) 25
(D) 63
(E) 98
Rationale: Explanation:
Unit's digit in the given product=7^153*1^72
7^153 gives unit's digit =(1*7)=7
1^72 unit's digit=1
Unit digit's in the product=(7*1)=7
Answer A
Answer: (A) 7
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
(A) 22
(B) 28
(C) 99
(D) 77
(E) 66
Rationale: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? è 28 m
Answer:D
Answer: (D) 77
Question: All the students of class are told to sit in circle shape. Here the boy at the 7 th position is exactly opposite to 27 th boy. Total number of boys in the class?
(A) 25
(B) 40
(C) 35
(D) 30
(E) 28
Rationale: As half the circle shape consist of 27-7=20 boys,
So total number of boys in full circle=2*20=40
ANSWER: B
Answer: (B) 40
Question: The sum of ages of 5 kids born at the intervals of 3 years each is 50 years. Find the age of the youngest kid?
(A) 4 years
(B) 5 years
(C) 3 years
(D) 6 yeasr
(E) 7 years
Rationale: consider x as age and
(x+3)(x+6)(x+9) and (x+12)
5x = 20
x= 4
ANSWER A
Answer: (A) 4 years
Question: A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $998 in total compensation, how many total hours did he work that week?
(A) 54
(B) 51
(C) 58
(D) 55
(E) 52
Rationale: For 40 hrs = 40*14=560
Excess = 998-560=438
For extra hours =.75(14)=10.5+14=24.5
Number of extra hrs =438/24.5=17.8=18 approx.
Total hrs =40+18=58
Answer C
Answer: (C) 58
Question: A can do a piece of work in 4 days. B can do it in 10 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
(A) 22 days
(B) 20/3 days
(C) 67 days
(D) 17/6 days
(E) 18 days
Rationale: C = 1/2 - 1/4 - 1/10 = 3/20
=> 20/3 days
Answer:B
Answer: (B) 20/3 days
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 7. Based on this information, how many gold coins would there be in this collection after the proposed trade?
(A) 50
(B) 60
(C) 180
(D) 200
(E) 350
Rationale: The correct answer is E.
Answer: (E) 350
Question: Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
(A) 5/7
(B) 7/18
(C) 3/4
(D) 8/9
(E) 11/15
Rationale: Clearly n(S)=6*6=36
Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.Then
E={(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),
(6,6)}
n(E)=14.
Hence p(e)=n(e)/n(s)=14/36=7/18
Ans: B
Answer: (B) 7/18
Question: The sum of 2 consecutive numbers is definitely:
(A) Positive.
(B) Divisible by 2.
(C) Divisible by 3.
(D) Divisible by 4.
(E) Divisible by 5.
Rationale: If 1st term is x:
x+(x+1)=2x+1--->Positive
If 2nd term is x:
(x-1)+x=2x-1 --->Positive
A
Answer: (A) Positive.
Question: A and B put in Rs.200 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
(A) 39:40
(B) 39:49
(C) 39:42
(D) 39:47
(E) 17:20
Rationale: Explanation:
1:2
A = 2/3*210 = 140
340: 400
17:20
Answer:E
Answer: (E) 17:20