mathewhe/aqua_rat huggingface dataset:
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
(A) $18,406.75
(B) $30,943.25
(C) $41,308.50
(D) $51,817.50
(E) $53,624.25
Rationale: its A
since options are not so close we can solve this by uniting calculation and guessing
total sales will be bit lower than 50000
from that initial outlay will get deducted 11500 so we left with 31500
variable cost say 20 X 1000 = 20000 will be deducted so finally we left with 18500
since we have considered the price greater than it actually is, the correct answer will certainly not cross the threshold of 18500.
Answer: (A) $18,406.75
Question: A man bought 40 shares of Rs. 60 at 8 discount, the rate of dividend being 1212%The rate of interest obtained is
(A) 13.64%
(B) 15.5%
(C) 14%
(D) 14.42%
(E) 14.95%
Rationale: Explanation :
Face Value of a share = Rs.60
He bought each share at Rs.60 - Rs.8 = Rs.52
Number of shares = 40
Dividend = 12 1/2%=25/2%
Dividend per share = 60×25/2×100=Rs.7.5
Total dividend = (40 × 7.5)
ie, He got a dividend of (40 × 7.5) for an investment of Rs.(40 × 52)
Interest obtained = 40×7.5×100/40×52=14.42%
Answer : Option D
Answer: (D) 14.42%
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?
(A) 2520
(B) 1287
(C) 2277
(D) 9277
(E) 1911
Rationale: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
Answer: A
Answer: (A) 2520
Question: The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis?
(A) 2
(B) 4
(C) 8
(D) 10
(E) 12
Rationale: The x-axis is 4 units from the point P.
Thus the y-axis is 8 units from the point P.
The answer is C.
Answer: (C) 8
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
(A) 1 kmph
(B) 6 kmph
(C) 7 kmph
(D) 4 kmph
(E) 9 kmph
Rationale: Explanation:
DS = 6
US = 4
S = ?
S = (6 - 4)/2 =1 kmph
Answer: A
Answer: (A) 1 kmph
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent?
(A) 2%
(B) 25%
(C) 22%
(D) 13.63%
(E) 45%
Rationale: 880 --- 120
100 --- ? => 13.63%
Answer:D
Answer: (D) 13.63%
Question: The sale price sarees listed for Rs.528 after successive discount is 20% and 10% is?
(A) 288
(B) 277
(C) 380
(D) 290
(E) 262
Rationale: 528*(80/100)*(90/100)
= 380
Answer: C
Answer: (C) 380
Question: Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ?
(A) 13
(B) 22
(C) 24
(D) 27
(E) 18
Rationale: This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on.
Answer: B
Answer: (B) 22
Question: A couple spent $184.80 in total while dining out and paid this amount using a credit card. The $184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
(A) $124
(B) $132
(C) $140
(D) $148
(E) $156
Rationale: Let the price of the meal be x.
After a 10% sales tax addition, the price is 1.1*x
After a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x
1.32x = 184.80
x = 140
The correct answer is C.
Answer: (C) $140
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 16 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) 11
(B) 444
(C) 2881
(D) 287
(E) 221
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444
Answer:B
Answer: (B) 444
Question: Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.
(A) 200
(B) 220
(C) 240
(D) 260
(E) 250
Rationale: Let x be the distance between A and B. Since Susan covered 80 km in 2 hours, her speed was V=802=40 km/hr.
If she continued at the same speed she would be 15 minutes late, i.e. the planned time on the road is x40−1560 hr. The rest of the distance is (x−80) km. V=40+10=50 km/hr.
So, she covered the distance between A and B in 2+x−8050 hr, and it was 36 min less than planned. Therefore, the planned time was 2+x−8050+3660.
When we equalize the expressions for the scheduled time, we get the equation:
x40−1560=2+x−8050+3660
x−1040=100+x−80+3050
x−104=x+505
5x−50=4x+200
x=250
So, the distance between cities A and B is 250 km.
So answer is E
Answer: (E) 250
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
(A) A)3
(B) B)4
(C) C)6
(D) D)9
(E) E)12
Rationale: Rate of machine R =1/24
Rate of machine S =1/12
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/24 +x/12 =1/2
3x/24=1/2
x=24/6=4
So no of machine R is 4
Answer B
Answer: (B) B)4
Question: There are 22 students in a class. In how many different ways can a committee of 3 students be formed?
(A) 1180
(B) 1320
(C) 1540
(D) 1760
(E) 1920
Rationale: 22C3 = 22*21*20 / 6 = 1540
The answer is C.
Answer: (C) 1540
Question: The volume V of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?
(A) 0.125
(B) 0.25
(C) 0.5
(D) 0.75
(E) Not enough information to determine the rate
Rationale: The correct answer is E.
There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate = E
Answer: (E) Not enough information to determine the rate
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, x
(A) 214
(B) 215
(C) 213
(D) 320
(E) 216
Rationale: Go on dividing by 6 to the next number
Answer : E
Answer: (E) 216
Question: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3) =
(A) 3^(a + 1)
(B) 2^(a + 1)
(C) 2a
(D) 2a^(a + 1)
(E) 15(2^a)
Rationale: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a +2)+ 2^(a + 3) =
2^a(1+2+4+8)
2^a(15)
E. 15(2^a)
Answer: (E) 15(2^a)
Question: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
(A)  Two
(B)  Three
(C)  Four
(D)  Six
(E)  Eight
Rationale: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 8p have.
p = 3 --> 8p = 24--> 24 has 6 even divisors: 2, 4, 6, 8, 12, 24.
Answer: D.
Answer: (D)  Six
Question: Convert 0.30 in to a vulgar fraction ?
(A) 18/50
(B) 16/50
(C) 3/10
(D) 19/50
(E) None
Rationale: Answer
0.30 = 30/100 = 3/10
Correct Option: C
Answer: (C) 3/10
Question: A certain bus driver is paid a regular rate of $16 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 $752 in total compensation, how many total hours did he work that week?
(A) 36
(B) 40
(C) 44
(D) 48
(E) 52
Rationale: For 40 hrs = 40*16=640
Excess = 752-640=112
For extra hours =.75(16)=12+16=28
Number of extra hrs =112/28=28/7=4
Total hrs =40+4=44
Answer C 44
Answer: (C) 44
Question: Find the wrong number below mentioned series
5,24,60,120,210,340
(A) 340
(B) 210
(C) 5
(D) 60
(E) none
Rationale: 5 is the only prime number or odd number in the series.
ANSWER:C
Answer: (C) 5
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 28 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
(A) 32 yrs, 23 yrs
(B) 32 yrs, 25 yrs
(C) 35 yrs, 29 yrs
(D) 35 yrs, 33 yrs
(E) none
Rationale: Sol.
Clearly, my brother was born 3 years before I was born and 4 years after my sister was born.
So, father's age when brother was born = (28 + 4) = 32 years.
mother's age when was born = (28 - 3) years = 25 years.
Answer B
Answer: (B) 32 yrs, 25 yrs
Question: If n is the product of three consecutive integers, and n is divisible by 6, which of the following is not necessarily a divisor of n ?
(A) 242
(B) 4
(C) 6.8
(D) 5
(E) 0.
Rationale: IF ONE NO. IS 6 THEN OTHER CONSEQUTIVE NO. ARE 4*5*6 =120 , 5*6*7=210 , 6*7*8 =336
NO NUMBER WILL NO BE DIVISOR OF N
E
Answer: (E) 0.
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 27 metre of cloth ?
(A) 211 seconds
(B) 195 seconds
(C) 155 seconds
(D) 115 seconds
(E) 115 seconds
Rationale: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 27 : x => x = {\color{Blue} \frac{27\times 1}{0.128}}
=> x = 210.94
So time will be approx 211 seconds
Answer: A
Answer: (A) 211 seconds
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 56 seconds. By what distance does P defeat Q eventually?
(A) 232m
(B) 224m
(C) 244m
(D) 231m
(E) 236m
Rationale: Explanation:
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/56 = 4m/s
=>Difference in time taken = 28 seconds
Therefore, Distance covered by P in that time= 8m/s x 28 seconds = 224 metres
ANSWER: B
Answer: (B) 224m
Question: The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
(A) 18 meter
(B) 20 meter
(C) 22 meter
(D) 25 meter
(E) None of these
Rationale: Explanation:
Let breadth =x metres.
Then length =(115x/100)metres.
=x∗115x/100=460
x2=(460x100/115)
x2=400x=20
Option B
Answer: (B) 20 meter
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even three-digit numbers are palindromes?
(A) 80
(B) 40
(C) 500
(D) 5,000
(E) 100,000
Rationale: 3rd digit 2,4,6 ,8
2nd digit 0 through 9
i.e 10*4 = 40 numbers
first digit is going to be same as 3rd digit. so it would still be 40 numbers.
Answer is B.
Answer: (B) 40
Question: If a and b are prime numbers, which of the following CANNOT be the value of ab?
(A) 9
(B) 14
(C) 21
(D) 23
(E) 25
Rationale: 23 is a prime number itself and so cannot be multiple of two prime numbers..
ANSWER:D
Answer: (D) 23
Question: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
(A) f(x)
(B) 2*f(x)
(C) 1/f(x)
(D) -f(x)
(E) 2/f(x)
Rationale: If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)
answer D
Answer: (D) -f(x)
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
(A) 70
(B) 10
(C) 24
(D) 26
(E) 82
Rationale: npn = n!
4p4 = 4 × 3 × 2 × 1 = 24
C)
Answer: (C) 24
Question: If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant?
(A) 25% loss
(B) 33.33% profit
(C) 20% loss
(D) 20% profit
(E) 5% profit
Rationale: Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 15 articles = cost price of 20 articles = $15.
Now, we know the selling price of 15 articles. Let us find the cost price of 15 articles.
Cost price of 15 articles = 15 * 1 = $15.
Therefore, profit made on sale of 15 articles = Selling price of 15 articles - cost price of 15 articles
= 20 - 15 = $5.
As the profit is in the positive, the merchant has made a profit of $5.
Therefore, % loss = loss/cp * 100
% loss = 5/15 * 100 = 33.33% profit.
B
Answer: (B) 33.33% profit
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 500 students and the middle school enrolled 250 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
(A) r/8
(B) r/7
(C) r/2
(D) r/9
(E) r/3
Rationale: Total per head = 2r/750
After s transfer both schools have total for head.
So at High School it will be:
r+s = (500)* (2r/750) = 20r/15=4r/3
i.e. s = 4r/3 - r/1 =4r-3r/3=r/3
Answer :E
Answer: (E) r/3
Question: It has been raining at the rate of 5 centimeters per hour. If the rain filled a cylindrical drum with a depth of 15 centimeters, and area 300 square centimeters, how long did it take to fill the drum completely?
(A) 3 hours
(B) 4 hours 15 minutes
(C) 6 hours
(D) 2 hours 5 minutes
(E) 8 hours
Rationale: Answer is : A, 3 hours
The volume of the drum is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only 15 / 5 = 3 hours of rain to fill the drum
Answer: (A) 3 hours
Question: Find the odd man out. 5, 6, 14, 45, 185, 925, 5556
(A) 5556
(B) 925
(C) 185
(D) 6
(E) 14
Rationale: Explanation :
5 × 1 + 1 = 6
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184
184 × 5 + 5 = 925
925 × 6 + 6 = 5556
Hence, it is clear that 184 should have come instead of 185
Answer : Option C
Answer: (C) 185
Question: A woman bought a car at 10% bag on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did she make on the original price?
(A) 40%
(B) 42%
(C) 44%
(D) 46%
(E) 48%
Rationale: Original price = 100
CP = 90
S = 90*(160/100) = 144
100 - 144 = 44%
Answer: C
Answer: (C) 44%
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 7 pages a minute more than printer A ?
(A) 600
(B) 840
(C) 1000
(D) 1200
(E) 1500
Rationale: Answer: B.
Answer: (B) 840
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
(A) 48
(B) 120
(C) 72
(D) 110
(E) 116
Rationale: The given word contains 5 different letters.
Taking the vowels EA together, we treat them as one letter.
Then, the letters to be arranged are XTR (EA).
These letters can be arranged in 4! = 24 ways.
The vowels EA may be arranged among themselves in 2! = 2 ways.
Number of words, each having vowels together = (24x2) = 48 ways.
Total number of words formed by using all the letters of the given words = 5! = (5x4x3x2x1) = 120.
Number of words, each having vowels never together = (120-48) = 72.
Answer C.
Answer: (C) 72
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
(A) 145
(B) 146
(C) 147
(D) 150
(E) 152
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: Option D
Answer: (D) 150
Question: 10, 25, 45, 54, 60, 75, 80
(A) 10
(B) 45
(C) 54
(D) 75
(E) 80
Rationale: Each of the numbers except 54 is multiple of 5.
Answer: Option C
Answer: (C) 54
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 57. What is that number?
(A) 5
(B) 6
(C) 8
(D) 7
(E) 4
Rationale: Let the number be x. Then,
3(2x + 9) = 57
2x = 10 => x = 5
ANSWER:A
Answer: (A) 5
Question: What is the least common multiple of 6, 18, and 24?
(A) 72
(B) 120
(C) 240
(D) 360
(E) 720
Rationale: Let us first write the numbers in the form of prime factors:
6 = 2*3
18 = 2*3^2
24 = 2^3*3
The LCM would be the largest powers of the prime numbers from all these three numbers.
Hence LCM = 72
Option A
Answer: (A) 72
Question: Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is
(A) 50
(B) 60
(C) 70
(D) 80
(E) 90
Rationale: Explanation:
Clearly,
x% of 150 = 150 - x [as x is number of boys]
=>x+x/100∗150=150=>5/2x=150=>x=60
Option B
Answer: (B) 60
Question: Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, for each value from 1 to 6, there are two cards in the deck with that value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
(A) 8/33
(B) 62/165
(C) 17/33
(D) 103/165
(E) 25/33
Rationale: total no of ways of choosing any 4 cards out of 12 = 12 C 4
=45*11
the no favourable outcomes, i.e atleast 1 pair , = no of pairs i.e 6 *{ ( no of ways of choosing the remaining 2 cards, i.e. 10 C 2 - the no of repetitions (i.e.5)} + the no ways of getting 2 pairs .i.e. 15
= 6( 10 C2 -5)+15
= 6(40)+15
= 3*85
therefor probability = (3*85 )/ (45*11)
= 17/33
Answer:C
Answer: (C) 17/33
Question: The average of 6 no.'s is 3.95. The average of 2of them is 4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
(A) 4.2
(B) 4.4
(C) 4.6
(D) 5.6
(E) 4
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(4 * 2) + (3.85 * 2)]
= 8
Required average = (8 / 2) = 4
E
Answer: (E) 4
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 50 vehicles were involved in accidents. If 5 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
(A) 800
(B) 850
(C) 900
(D) 500
(E) 1000
Rationale: To solve we will set up a proportion. We know that “100 million vehicles is to 50 accidents as 5 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 5,000 million rather than 5 billion. Creating a proportion we have:
100/50 = 5,000/x
Cross multiplying gives us:
100x = 2,000 * 50
x = 20 * 50 = 1000
Answer : E
Answer: (E) 1000
Question: How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?
(A) 1214
(B) 4320
(C) 1254
(D) 3265
(E) 4512
Rationale: Given word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.
Then, the letters to be arranged are DGNTR (AUE).
Then 6 letters to be arranged in 6p6 = 6! = 720 ways.
The vowels in the group (AUE) may be arranged in 3! = 6 ways.
Required number of words = (720x6) = 4320.
Ans: B
Answer: (B) 4320
Question: What is the probability of getting a sum 9 from two throws of a dice?
(A) 1/6
(B) 1/8
(C) 1/9
(D) 1/12
(E) 1/14
Rationale: Explanation:
In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
P(E) =	n(E)	/ n(S) =4/36=1/9.
ANSWER IS C
Answer: (C) 1/9
Question: A word is defined as a sequence of three dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
(A) 9
(B) 18
(C) 24
(D) 27
(E) 36
Rationale: 3^3 = 27
The answer is D.
Answer: (D) 27
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
(A) 600
(B) 887
(C) 256
(D) 650
(E) 712
Rationale: Cost price = Rs.500
profit = 30% of 500 = Rs.150
Selling price = Cost price + Profit
= 500 + 150 = 650
Answer: D
Answer: (D) 650
Question: A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train.
(A) 150
(B) 88
(C) 480
(D) 288
(E) 400
Rationale: Speed = 180*(5/18) m/sec = 50 m/sec
Length of Train (Distance) = Speed * Time
50 *8 = 400 meter
Answer: E
Answer: (E) 400
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach a target of 282 runs ?
(A) 6.25
(B) 6.5
(C) 6.75
(D) 7.0
(E) None of the above
Rationale: Total runs in the first 10 overs
= 10 × 3.2 = 32
Run rate required in the remaining 40 overs
= 282−32/40=250/40=6.25 runs per over.
Answer A
Answer: (A) 6.25
Question: The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
(A) 50 kmph
(B) 65 kmph
(C) 90 kmph
(D) 85 kmph
(E) 90 kmph
Rationale: Explanation:
S = (100 + 80)/2 = 90 kmph
C)
Answer: (C) 90 kmph
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
(A) 12.6 Years
(B) 12 Years
(C) 12.3 Years
(D) 13 Years
(E) 14 Years
Rationale: Total age of 50 students
(30X 13+20 X 12) = 630
Average = 630/50 = 12.6 Years
A
Answer: (A) 12.6 Years
Question: Mohan purchased 10 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
(A) A)Rs.520
(B) B)Rs.594
(C) C)Rs.596
(D) D)Rs.595
(E) None of these
Rationale: Explanation:
Price of 10 kgs of rice at Rs.26/kg = 10x26 = Rs.260
Price of 8 kgs of pulses at Rs.26/kg = 10x26 = Rs.260
Therefore, Total amount = Rs.260+Rs.260 = Rs.520.
Answer: Option A
Answer: (A) A)Rs.520
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
(A) 74%
(B) 94%
(C) 44%
(D) 24%
(E) 74%
Rationale: g% = 20 + 20 + (20*20)/100
= 44%
Answer:C
Answer: (C) 44%
Question: The sum of two numbers is 15 and their geometric mean is
20% lower than their arithmetic mean. Find the numbers?
(A) 12,3
(B) 15,3
(C) 11,2
(D) 11,3
(E) 10,2
Rationale: Sum of the two numbers is a+b=15.
their A.M = a+b / 2 and G.M = (ab)1/2
Given G.M = 20% lower than A.M
=80/100 A.M
ANSWER : A 12,3
(ab)^1/2=4/5 a+b/2 =2*15/5=6 (ab)^1/2 = 6
ab=36 =>b=36/a
a+b=15
a+36/a=15
a2+36=15a
a2-15a+36=0
a2-3a-12a+36=0
a(a-3)-12(a-3)=0
a=12 or 3.
If a=3 and a+b=15 then b=12.
If a=12 and a+b=15 then b=3.
Answer: (A) 12,3
Question: You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour.
How long will it take your wife to catch up with you assuming that the police does not stop her?
(A) 360 miles
(B) 460 miles
(C) 560 miles
(D) 660 miles
(E) 760 miles
Rationale: let t be the time it takes you to get to your destination.
t-2 is then the time it will take your wife. The reason we subtract 2 is because compared to you, your wife is late by 2 hours
Since the distance you travel is the same as the distance your wife travels, we get:
60 × t = 90 × (t - 2)
60t = 90t - 180
60t + 180 = 90t
180 = 90t - 60t
180 = 30t
Since 30 times 6 = 180, t = 6
This means that your wife will catch up with you in 6 hours
d = 60 × 6 = 360
d = 90 × (6-2) = 90 × 4 = 360
Therefore, your wife will catch up with you 360 miles away
Answer A
Answer: (A) 360 miles