mathewhe/aqua_rat huggingface dataset:
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
(A) 102
(B) 132
(C) 111
(D) 132
(E) 142
Rationale: Number of days from 26-Jan-1996 to 15-May-1996 (both days included)
= 6(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 111
Answer:C
Answer: (C) 111
Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs 8,748, its purchase price was?
(A) Rs 16,000
(B) Rs 18,000
(C) Rs 12,000
(D) Rs 14,000
(E) none of these
Rationale: We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
= P/(1 + (R/100))n = 8748/(1 - (10/100))3
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.
ANSWER:C
Answer: (C) Rs 12,000
Question: Excluding stoppages, the average speed of a bus is 75 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
(A) 15 min
(B) 18 min
(C) 16 min
(D) 20 min
(E) 28 min
Rationale: In 1hr, the bus covers 75 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (75 - 40) km i.e 35 km at 75 km/hr.
stoppage time = 35/75 hrs
= 28 min
Answer: E
Answer: (E) 28 min
Question: The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
(A) 897
(B) 197
(C) 697
(D) 997
(E) 397
Rationale: According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient * divisor + remainder = 15 * 13 + 2 = 197
correct answer B
Answer: (B) 197
Question: Find the area of circle whose radius is 21m?
(A) 980 sq m
(B) 1892 sq m
(C) 1267 sq m
(D) 1386 sq m
(E) 1525 sq m
Rationale: r = 21
Area of Circle =∏r2
= (22/7)(21)(21)
= 1386 sq m.Answer: D
Answer: (D) 1386 sq m
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
(A) 820 gallons
(B) 128 gallons
(C) 120 gallons
(D) 129 gallons
(E) 220 gallons
Rationale: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallons\
Volume of whole = 3 * 40 = 120 gallons.
Answer: C
Answer: (C) 120 gallons
Question: If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 1050, how many terms that are smaller than 625 are there in the sequence?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 13
Rationale: Since the median is 625 we know there must be a even number of integers because 50 is not a multiple of 625.
So the list around 625 must go. 600 (625) 650 700 750 800 850 900 950 1000 1050
Since we know there are 9 numbers greater than 625 then there must be 9 numbers less then 625.
D
Answer: (D) 9
Question: In what time a sum of money double itself at 6% per annum simple interest?
(A) 33 1/8%
(B) 33 1/3%
(C) 83 1/3%
(D) 33 4/3%
(E) 16 2/3%
Rationale: P = (P*6*R)/100
R = 16 2/3%
Answer:E
Answer: (E) 16 2/3%
Question: A survey was sent to 60 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
(A) 2%
(B) 5%
(C) 14%
(D) 28%
(E) 4%
Rationale: case 1: (7/60)=x/100
x=12%
case 2: (9/63)=y/100
y=14%
So percent increase is =(y-x)=(14-12)%=2%
Answer is A
Answer: (A) 2%
Question: If x and y are integers, and 5x+7y=12, which of the following could be the value of y ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: Use answer options to solve this problem -
Put y = 1
So, 5x+7(1)=12
Or, 5x=12-7
Or, 5x=5
Or, x = 1
Answer will be (B)
Answer: (B) 1
Question: If an integer n is to be selected at random from 1 to 400, inclusive, what is probability n(n+1) will be divisible by 8?
(A) 1/4
(B) 1/8
(C) 1/2
(D) 2/3
(E) 3/4
Rationale: For n(n+1) to be a multiple of 8, either n or n+1 has to be a multiple of 8.
Thus n must be of the form 8k or 8k-1.
The probability is 2/8 = 1/4.
The answer is A.
Answer: (A) 1/4
Question: Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
(A) 20 1/2 hours
(B) 20 1/8 hours
(C) 20 3/2 hours
(D) 80 1/2 hours
(E) 10 1/2 hours
Rationale: 1/18 + 1/24 = 7/72
72/7 = 10 2/7
7/72 * 10 = 35/36 ----- 20 hours
WR = 1 – 35/36 = 1/36
1 h ----- 1/18
? ----- 1/36 = 1/2 hours
=> 20 1/2 hours
Answer:A
Answer: (A) 20 1/2 hours
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 70 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
(A) 3/16,000
(B) 1/8,100
(C) 7/48,000
(D) 1/90
(E) 2/45
Rationale: Solution provided by stanford2012 is correct: 70/800 choosing one of the cellos which has a pair viola, 1/600 choosing the viola which is the pair of chosen cello --> P=70/800*1/600=7/48,000.
Answer: C.
Answer: (C) 7/48,000
Question: In a carton there are balls of 10 different colors. What is the least number of balls that you have to take out so that you will have a matching pair?(Assuming that all the balls are of same size but different colors)
(A) 12
(B) 6
(C) 9
(D) 11
(E) 15
Rationale: Since there are 10 colors, if you take 10 balls, you could still have 1 ball per color and not have a match.
Therefore, upon taking the 11th ball, you will definitely have a match since the 11th ball will form at least a pair with the 1st 10
So 10+1 = 11
Answer is D
Answer: (D) 11
Question: If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is?
(A) 20
(B) 24
(C) 22
(D) 26
(E) 27
Rationale: Explanation:
Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).
x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 44
3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 132
9x + 18 = 3x + 138
6x = 120
x = 20
Therefore, the largest number is 24.
ANSWER B
Answer: (B) 24
Question: If m is a positive integer and m^2 is divisible by 36, then the largest positive integer that must divide m is?
(A)  3
(B)  6
(C)  8
(D)  12
(E)  16
Rationale: M^2 is divisible by 48 so M^2 must be multiple of 48.
If the value of M is Multiples of 12 then it will satisfy the condition. If we If M is 12 or 24 or 36 then it ans is D but if M = 48 then answer should be 16.
Is the question right? Or am i missing some thing?
D
Answer: (D)  12
Question: The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 7 consecutive integers that start with (m + 2)?
(A) m + 3
(B) n + 6
(C) n + 3
(D) m + 4
(E) n + 4
Rationale: The average of consecutive numbers is the middle number.
Then n = m+2.
The average of 7 consecutive numbers starting from n is n+3.
The answer is C.
Answer: (C) n + 3
Question: In one hour, a boat goes 12 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
(A) 1 km/hr
(B) 2 km/hr
(C) 10 km/hr
(D) 11 km/hr
(E) 12 km/hr
Rationale: Let speed of the boat in still water = x and speed of the stream = y
Then
x + y = 12
x - y = 8
Adding these two equations, we get 2x = 20
=> x = 10
ie, speed of boat in still water = 10 km/hr
ANSWER:C
Answer: (C) 10 km/hr
Question: A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is remaining?
(A) 1/2
(B) 1/3
(C) 2/7
(D) 2/3
(E) none of the above
Rationale: Ans is : D 2/3, Your child must reduce the fraction 8/12. Divide the numerator and denominator by four, which is 2/3.
Answer: (D) 2/3
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
(A) 3.4
(B) 3.8
(C) 4
(D) 4.2
(E) 4.6
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6.
E
Answer: (E) 4.6
Question: A and B invested in a business. They earned some profit which they divided in the ratio of 2:3. If A invested Rs.40, 000, the amount invested by B is:
(A) Rs. 65,000
(B) Rs. 70,000
(C) Rs. 80,000
(D) Rs. 90,000
(E) Rs. 60,000
Rationale: Invested by B = 40000/2*3 = 60000
Answer : E
Answer: (E) Rs. 60,000
Question: If air is called green , green is called blue, blue is called blue, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
(A) Blue
(B) Sky
(C) Water
(D) Yellow
(E) Black
Rationale: Explanation:The colour of clear sky is 'blue' and as given, 'blue' is called 'blue'.So, the colour of clear sky is 'blue'.Answer: A
Answer: (A) Blue
Question: |x+1| – |4-x| = |8+x| How many solutions will this equation have?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |8+x|
(x+3) - (4-x) = (8+x)
Now, you're looking at x < - 8, so x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.
when x=-10
I.) (x+3)
(-10+3)
(-7)
II.) (4-x)
(4-[-10]) (double negative, so it becomes positive)
(4+10)
(14)
III.) (8+x)
(8+-10)
(-2)
In other words, when x < -8, (x+3) and (8+x) are NEGATIVE. To solve problems like this, we need to check for the sign change.
Here is how I do it step by step.
I.) |x+3| - |4-x| = |8+x|
II.) IGNORE absolute value signs (for now) and find the values of x which make (x+3), (4-x) and (8+x) = to zero as follows:
(x+3)
x=-3
(-3+3) = 0
(4-x)
x=4
(4-4) = 0
(8+x)
x=-8
(8+-8) = 3
D
Answer: (D) 3
Question: Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
(A) 200 hours
(B) 400 hours
(C) 900 hours
(D) 700 hours
(E) 600 hours
Rationale: Speed downstream = (14 + 1.2) = 15.2 kmph
Speed upstream = (14 - 1.2) = 12.8 kmph
Total time taken =4864/15.2+4864/12.8= 320 + 380 = 700 hours
Answer: D
Answer: (D) 700 hours
Question: The cost price of an article is 25% of the marked price. Calculate the gain percent after allowing a discount of 50%.
(A) 25%
(B) 50%
(C) 100%
(D) 150%
(E) none
Rationale: Sol.
Let marked price = Rs. 100. Then, C.P. = Rs. 25. S.P = Rs. 50.
âˆ´ Gain % = [25/25 * 100]% = 100.0%.
Answer C
Answer: (C) 100%
Question: What is the 23th digit to the right of the decimal point in the decimal form of 36/66?
(A) 3
(B) 4
(C) 8
(D) 9
(E) 6
Rationale: We first have to use some long division. This long division allows us to get 36/66 in decimal form, which is 0.545454… where “54” is repeating.
We can see that the 1st, 3rd, 5th digit to the right of the decimal point is a 5 and that the 2nd, 4th, 6th digit to the right of the decimal point is a 4. In other words, each odd-positioned digit is a 5, and each even-positioned digit is a 4.
Then about the 10 digit to the right of the decimal point and we see that 10 is even, we know that the 10th digit is a 4.
Answer B.
Answer: (B) 4
Question: A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 10 inches, then what is the maximum number of soap boxes that can be placed in each carton?
(A) 210
(B) 252
(C) 280
(D) 150
(E) 420
Rationale: however the process of dividing the volume of box by the volume of a soap seems flawed but it does work in this case due to the numbers
Dimensions of the box =25*42*60
Dimensions of the soap = 10*6*7
we get = 5x6x5 = 150
so the question is why this particular arrangement, in order to maximize number of soaps we need to minimize the space wasted and this is the only config where we dont waste any space so we can expect the maximum number
the answer is (D)
Answer: (D) 150
Question: If a-b= 10 and a^2+b^2=150, find the value of ab
(A) 10
(B) 12
(C) 25
(D) 18
(E) 19
Rationale: 2ab = (a^2 + b^2) - (a - b)^2
= 150 - 100 = 50
=> ab = 25
ANSWER: C
Answer: (C) 25
Question: In how many years does a sum of Rs. 4500 yield a simple interest of Rs. 16000 at 15% p.a.?
(A) 23.7 years
(B) 24.7 years
(C) 25.7 years
(D) 26.7 years
(E) 27.7 years
Rationale: T = (100 * 16000)/(15 * 4500) = 23.7 years
ANSWER:A
Answer: (A) 23.7 years
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 8 and if M is the median of the first 10 positive multiples of 8, what is the value of M – m ?
(A)  –5
(B)  24
(C)  5
(D)  25
(E)  5
Rationale: The first 10 positive multiples of 8 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.
Hence M=m --> M-m=0.
Answer: E.
Answer: (E)  5
Question: For four days of work, a clerk had daily earnings of $190, $180, $190, and $190 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
(A) Between $10 and $100
(B) Between $25and $50
(C) Between $0 and $10
(D) Between $50 and $100
(E) Between $20 and $40
Rationale: The standard deviation is between 0 and 10.
The reason is that none of the numbers in the set is further away from the mean than 10(or rather Abs(180-(190*3+180)/4)). I am not fully sure how to calculate the standard deviation(I simply remember that there were some formula for calculating the average of the squared distances from the mean for all items in the set from statistics classes - variation), but I believe this will suffice for any GMAT question related to standard deviation.
Answer : C
Answer: (C) Between $0 and $10
Question: A small college reduced its faculty by approximately 25 percent to 195 professors. What was the original number of faculty members?
(A) 182
(B) 260
(C) 224
(D) 254
(E) 302
Rationale: If x is the original number of faculty members, then after 25% reduction in faculty members number is .75x
but we are given .75x = 195
x = 260
So the original number of faculty members is 260
Correct Answer - B
Answer: (B) 260
Question: What is the probability of getting equilateral triangles from the vertices of regular hexagon?
(A) 1/10
(B) 2/10
(C) 3/10
(D) 4/10
(E) 5/10
Rationale: total no. of triangles that can b made with the vetices hexagon= 6C3=20
no. of possible outcomes i.e. no. of equality triangles=2.
.'. probability= 2/20=1/10
ANSWER:A
Answer: (A) 1/10
Question: The simple interest at b% for b years will be $b on a sum of
(A) $ (1000)/b
(B) $(100)b^2
(C) $ b
(D) $ (100)/b
(E) $ 100b
Rationale: Principal =$(100*b)/(b*b)=$(100/b).
Answer is D
Answer: (D) $ (100)/b
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length R of a cube whose surface area is equal to 6z?
(A) R=16
(B) R=8√2
(C) R=8
(D) R=2√2
(E) (√2)/3
Rationale: 800 score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-4, -4) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(4 × 4) = 8; so z = 8.
The next step requires us to find the length of a side of a cube that has a face area equal to 8. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 8. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 8. Clearly s = √8 = 2√2 , oranswer choice (D).
Answer: (D) R=2√2
Question: A man can row upstream at 12 kmph and downstream at 38 kmph, and then find the speed of the man in still water?
(A) 11
(B) 25
(C) 30
(D) 88
(E) 34
Rationale: US = 12
DS = 38
M = (12 + 38)/2 = 25
Answer:B
Answer: (B) 25
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 10 inches tall. How tall are the sculpture andbase together?
(A) 3.1 feet
(B) 3.66 feet
(C) 3.3 feet
(D) 3.4 feet
(E) 3.5 feet
Rationale: we know 1 feet =12 inch then
2 feet =24 inch
24+10=34 then
34+10=40
44/12=3.66 feet
ANSWER:B
Answer: (B) 3.66 feet
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 45 percent were employees, what percent were stockholders who were not employees?
(A)  34%
(B)  38%
(C)  45%
(D)  53%
(E)  55%
Rationale: Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M
were stockholders and 47% of M or 0.45M were employees, it follows that 0.62M +
0.45M = 1.07M were either stockholders, employees, or both. Since 1.07M exceeds
M, the excess 1.07M − M = 0.07M must be the number of attendees who were both
stockholders and employees, leaving the rest 0.62M − 0.07M = 0.55M, or 55%, of
the meeting attendees to be stockholders but not employees.
The correct answer is E.
Answer: (E)  55%
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
(A) 70, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 80, 20 kmph
(E) 45, 65 kmph
Rationale: Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph
ANSWER:D
Answer: (D) 80, 20 kmph
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: (E) 5184
Question: There is a number which is greater than the aggregate of its third. tenth and the twelfth parts by 58
Can you find the number?
(A) 125
(B) 153
(C) 120
(D) 234
(E) 116
Rationale: C
120
Answer: (C) 120
Question: In order to obtain an income of Rs. 580 from 15% stock at Rs. 100, one must make an investment of
(A) 5363
(B) 6240
(C) 8700
(D) 5600
(E) 2732
Rationale: To obtain Rs. 10, investment
= Rs. 100.
To obtain Rs. 580, investment =
= Rs. 8700.
Answer: C
Answer: (C) 8700
Question: 6, 11, 21, 36, 56, 81, 111, ?
(A) 512
(B) 146
(C) 812
(D) 612
(E) 912
Rationale: The pattern is + 5, + 10, + 15, + 20, + 25, + 30, + 35, + 40, + 45, + 50,....
Answer : B.
Answer: (B) 146
Question: 90, 180, 12, 50, 100, 80, ?, 3, 20, 4, 25, 2, 6, 30, 3
(A) 100
(B) 150
(C) 180
(D) 90
(E) 60
Rationale: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
20*4=80
3*20=60 ans is 60
ANSWER:E
Answer: (E) 60
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
(A) 2 days
(B) 3 days
(C) 4 days
(D) 5 days
(E) 6 days
Rationale: That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself.
B)
Answer: (B) 3 days
Question: If 30% of a number exceeds 20% of it by 18, then find the number?
(A) 120
(B) 200
(C) 180
(D) 150
(E) None of these
Rationale: Let the number be x.
30% of x = 30/100 * x = 3x/10
20% of x = 20/100 * x = x/5 = 2x/10.
Given that 3x/10 - 2x/10 = 18 => x = 180.
Required number is 180.
ANSWER:C
Answer: (C) 180
Question: A tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
(A) 2110
(B) 2220
(C) 2440
(D) 2660
(E) 2880
Rationale: The tank is emptied at this rate: 9 + 8 - 5 = 12 cubic inches/min
The tank has a volume of 20*12*12*12 = 34560 cubic inches.
The time it takes to empty the tank is 34560/12 = 2880 minutes.
The answer is E.
Answer: (E) 2880
Question: Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
(A) 5
(B) 8
(C) 11
(D) 15
(E) 17
Rationale: Explanation :
Let a, b, c be the Englishmen and d, e, f be the Frenchmen.
Let a be the Englishman who knows French. 'a' calls 'b & c' and now knows the secret of both of them. So now 'a' knows 'abc' secrets. 'd' calls 'e & f' and now knows the secret of both of them. So now 'd' knows 'def' secrets. 'a' now calls 'd', and exchange all secrets in French, so now 'a' and 'd' know all the 6 secrets. Now 'a' calls 'b & c' again, and 'd' calls 'e & f' again and tell all the secrets. So, totally 9 calls.
Answer : B
Answer: (B) 8
Question: A person is traveling at 25km/hr and reached his destiny in 6hr find the distance?
(A) A)100km
(B) B)95km
(C) C)135km
(D) D)150km
(E) E)125km
Rationale: speed = 25km/hr
time = 6hr
distance = 25*6 = 150km
Answer is D
Answer: (D) D)150km
Question: The average age of students in section A of 124 students is 23 years and the average age of students in section B of 159 students is 39 years. Find the average age of students in both sections taken together?
(A) 26 years
(B) 32years
(C) 15years
(D) 25years
(E) 20years
Rationale: The required average = (124*23+159*39)/124+159 = 32 years
Answer is B
Answer: (B) 32years
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is
(A) 4.37%
(B) 5%
(C) 6%
(D) 8.75%
(E) None
Rationale: Solution
Increase in 10 years	= (262500 - 175000)
= 87500.
Increase%	= (87500/175000×100)%
= 50%.
Required average	= (50/10)%
= 5%.
Answer B
Answer: (B) 5%
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
(A) 4/10
(B) 4/9
(C) 6/5
(D) 9/2
(E) 6/4
Rationale: Red: Blue = 10:5
Let Red = 10x and Blue = 5x
1/3 of Red are left handed => 1/3 * 10x = 10x/3 Red left handed
2/3 of Blue are left handed => 2/3 *5x = 10x/3 blue left handed
fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (10x/3 + 10x/3)/(10x+5x) = 20/45 = 4/9
Answer : B
Answer: (B) 4/9
Question: A car was driving at 66 Km/h for 30 minutes, and then at 100 Km/h for another 45 minutes. What was its average speed?
(A) 84.
(B) 75.
(C) 70.
(D) 65.
(E) 54.
Rationale: driving at 66 Km/h for 30 minutes ,distance covered = 60*1/2=30 km
driving at 100 km/h for 45 minutes ,distance covered = 100*3/4=75 km
average speed = total distance/total time = 105/1.25 = 84 km/h
Answer: A
Answer: (A) 84.
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
(A) 4 %.
(B) 25/4 %.
(C) 5 %
(D) 6 %.
(E) 3 %.
Rationale: Explanation :
Let sum = x. Then, S.I. = x/4
Let rate = R% and time = R years.
[x * R * R / 100] = x / 4? R^2 = 100/4=25
R = 5
Hence, rate of interest = 5 %.
Answer : C
Answer: (C) 5 %