mathewhe/aqua_rat huggingface dataset:
Question: Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 25% faster than the second car's speed. If the distance between the cars is 720 km, how many hours will it take until the two cars meet?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Rationale: The speed of the first car is 100 km/h.
The speed of the second car is 100 / 1.25 = 80 km/h.
The two cars complete a total of 180 km each hour.
The time it takes the cars to meet is 720 / 180 = 4 hours.
The answer is C.
Answer: (C) 4
Question: The value of a machine depreciates at 25% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
(A) $258375
(B) $438375
(C) $128375
(D) $108375
(E) $158375
Rationale: The value of the machine after two years = 0.75 * 0.75 * 1,50,000 = $84,375
SP such that a profit of $24,000 is made = 84,375 + 24,000 = $1,08,375
D
Answer: (D) $108375
Question: What is the sum of the greatest common factor and the lowest common multiple of 36 and 56?
(A) 592
(B) 520
(C) 508
(D) 560
(E) 584
Rationale: Prime factorization of the given numbers
36= 2^2 * 3^2
56= 2^3 *7
Greatest common factor = 4
Lowest common multiple = 504
Sum = 4+ 504 = 508
Answer C
Answer: (C) 508
Question: How many words, with or without meaning, can be formed using all letters of the word BEAUTIFUL using each letter exactly once?
(A) 388,620
(B) 388,260
(C) 362,880
(D) 352,880
(E) 342,880
Rationale: The Word BEAUTIFUL has exactly 9 letters which are all different.
Therefore the number of words that can be formed = Number of permutations of 9 letters taken all at a time.
= P (9, 9) = 9!
= 9 x 8 × 7 x 6 × 5 x 4 x 3 x 2 × 1
= 362,880
ANSWER:C
Answer: (C) 362,880
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
(A) 12/428
(B) 12/420
(C) 12/455
(D) 12/429
(E) 12/419
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (2C1)(4C2)/15C3
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer:C
Answer: (C) 12/455
Question: A firm is comprised of partners and associates in a ratio of 2:63. If 35 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: The ratio 1:34 = 2:68 so the ratio changed from 2:63 to 2:68.
68-63 = 5 which is 1/7 of the increase in 35 associates.
The ratio changed from 14:441 to 14:476.
Thus the number of partners is 14.
The answer is B.
Answer: (B) 14
Question: Find the odd man out. 18, 16, 12, 24, 21, 34, 46
(A) 16
(B) 46
(C) 24
(D) 21
(E) 18
Rationale: Explanation :
21 is the only odd number in the given series
Answer : Option D
Answer: (D) 21
Question: A train 120 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
(A) 443 m
(B) 354 m
(C) 450 m
(D) 380 m
(E) 250 m
Rationale: D
350
D = 72 * 5/18 = 25 = 500 â€“ 120 = 380
Answer: (D) 380 m
Question: If p ≠ 1 and if qp/(q - p) = 1, what is the value of q in terms of p?
(A) (p+1)/p
(B) (p - 1)/p
(C) p/(p + 1)
(D) p/(1-p)
(E) (1 - p)/p
Rationale: This question comes with a particular 'quirk' (one that you probably won't see on Test Day). The GMAT won't test you on the concept of undefined numbers (re: numbers divided by 0), so any time that this concept is a possibility, the question writers have to add a restriction that removes the option that a 0 could occur in the denominator.
Here, we're told that B CANNOT = 1, which is a bit strange because that restriction doesn't seem to impact the original equation much. In fact, it impacts JUST ONE of the answer choices - so you have to ask WHY that restriction is even there. It's actually because that one answer is the correct one.
Final Answer:
D
Answer: (D) p/(1-p)
Question: The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
(A) 0.144
(B) 0.072
(C) 0.432
(D) 0.72
(E) 0.288
Rationale: P(Rain) = 0.4 = 2/5
So, P(no rain) = 0.6 = 3/5
Let R represent Rain, and let N represent no rain
So, P(Rain exactly once) = P(R-N-N OR N-R-N OR N-N-R)
= P(R-N-N) + P(N-R-N) + P(N-N-R)
= (2/5)(3/5)(3/5) + (3/5)(2/5)(3/5) + (3/5)(3/5)(2/5)
= 18/125 + 18/125 + 18/125
= 54/125
NO DECIMAL CONVERSION NEEDED
Notice that 62.5/125 = 1/2 = 0.5, so 54/125 = a little less than 0.5
Answer:C
Answer: (C) 0.432
Question: Which one of the given numbers is divisible by 11?
(A) 4823718
(B) 8423718
(C) 8432718
(D) 4872318
(E) 4852718
Rationale: Explanation:
4872318 = (4+7+3+8) – (8+2+1) = 11
So, the given number is divisible by 11
Answer:D
Answer: (D) 4872318
Question: If the cost price of 18 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
(A) 30% Gain
(B) 28% Loss
(C) 40% Gain
(D) 40% Loss
(E) 50% Loss
Rationale: Explanation:
18 cp = 25 sp
Cost price CP = 25
Selling price SP = 18
Formula = (SP-CP)/CP * 100 = (18 - 25)/25 * 100 = 28 % Loss
Answer: Option B
Answer: (B) 28% Loss
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
(A) 17327
(B) 15008
(C) 13272
(D) 15000
(E) 12822
Rationale: Explanation:
The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000
Answer: D
Answer: (D) 15000
Question: What least no. must be subtracted from 10154 so that remaining no.is divisible by 30?
(A) 10
(B) 12
(C) 14
(D) 8
(E) 9
Rationale: Explanation:
On dividing 10154 by 30 we get the remainder 14, so 14 should be subtracted
Option C
Answer: (C) 14
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
(A) 5 years
(B) 7 years
(C) 9 years
(D) 6 years
(E) 12 years
Rationale: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: D
Answer: (D) 6 years
Question: A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
(A) 1390
(B) 2987
(C) 2889
(D) 2689
(E) 2891
Rationale: 2(25 * 15 + 15 * 8 + 25 * 8)
2(375 + 120 + 200)
=> 1390
Answer: A
Answer: (A) 1390
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 72% problems right. How many more questions he would have to answer more to get
passed
(A) 5
(B) 14
(C) 7
(D) 8
(E) 9
Rationale: Explanation:
Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)
= 7 + 12 + 21 = 40.
Questions to be answered correctly for 72% = 72% of total quations
= 72 % of 75 = 45.
He would have to answer 54 - 40 = 14
Answer: Option B
Answer: (B) 14
Question: The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr?
(A) 6 min
(B) 5 min
(C) 5.5 min
(D) 4 min
(E) 3 min
Rationale: Area of a square field = 7201 sq m
Let the side of square = a
a^2 = 7201
=> a = 84.86
Diagonal = (2)^(1/2) * a
= 1.414 * 84.86
=120
Speed of lady = 1.2 km / hour
= 1200 m / hour
= 20 m / min
Time taken by lady to cross the field diagonally = 120/20 = 6 min
Answer A
Answer: (A) 6 min
Question: A bowl was filled with 10 ounces of milk, and 0.002 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
(A) A)0.001%
(B) B)0.01%
(C) C)1%
(D) D)10%
(E) E)12%
Rationale: Total amount of milk evaporated each day during a 50-day period = .002 * 50
=.002 * 100/2
= .2/2
= .1
percent of the original amount of milk evaporated during this period = (.1/10) * 100%
= 1 %
Answer C
Answer: (C) C)1%
Question: The area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm. What is the perimeter of the square?
(A) 289 cm
(B) 160 cm
(C) 829 cm
(D) 288 cm
(E) 289 cm
Rationale: Area of the square = s * s
= 5(20* 16)
=> s = 40
= 40 cm
Perimeter of the square
= 4 * 40
= 160 cm.
Answer: B
Answer: (B) 160 cm
Question: If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?
(A) - 11
(B) - 1
(C) 0
(D) 1
(E) 11
Rationale: Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.
Now the question is asking the value of 0^6 - 6^0 = -1
ANSWER:B
Answer: (B) - 1
Question: Find the lowest positive integer that can be divided by each of the following integers: 8,9,10,11,12,13,
(A) 51480
(B) 6000
(C) 34872
(D) 2348
(E) 2345
Rationale: To get the least positive integer that can be divided by each of these numbers 8,9,10,11,12,13, you calculate the lowest common denominator of all the numbers. Express each number as a product of their prime factors and multiply the set of prime numbers from each set with the highest exponent value.
LCM=2^3*3^2*5*11*13
The answer is A)
Answer: (A) 51480
Question: Bill has d animals, 20 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
(A) 6
(B) 12
(C) 18
(D) 24
(E) 30
Rationale: Total d animals, suppose each has price of x - total price = dx
now 20 were sold at profit of 10%, making equation - - 20*1.1x
now d-20 were sold at loss of 20%, making eqn --- (d-20)*0.8x
Now he made no profit or loss so,
dx = 20*1.1x + (d-20)*0.8x
solving for d, we get d=30
Ans E
Answer: (E) 30
Question: What is the value of 16^2 + 17^2 + 18^2 + 19^2 + 20^2 + 21^2 + 22^2 + 23^2 + 24^2 ?
(A) 3298
(B) 3660
(C) 3670
(D) 3328
(E) 3338
Rationale: This is what I did, all the nos are close to 20, and squared, so 20^2 plus there are 9 numbers, so (20)^2 x 9 =3600,
now squaring the last digits of each no individually comes up to (16+9+4+1+0+1+4+9+16) = 60.
when you add the 2 up it gives you a (3600+60) =3660,
Answer is B
Answer: (B) 3660
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
(A) 17 1/9
(B) 17 1/3
(C) 17 1/7
(D) 17 1/9
(E) 17 1/1
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer: C
Answer: (C) 17 1/7
Question: A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 4 metres apart, how many poles will be needed ?
(A) 55
(B) 70
(C) 57
(D) 58
(E) None of these
Rationale: Solution
Perimeter of the plot = 2(90 + 50) = 280 m.
∴ Number of poles = [280/4] =70m Answer B
Answer: (B) 70
Question: The length of a rectangle is halved, whileits breadth is tripled. Wat is the % change in area?
(A) 40%
(B) 45%
(C) 50%
(D) 65%
(E) 70%
Rationale: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Answer: (C) 50%
Question: 45 litres of mixture is created by mixing Liquid A and Liquid B in the ratio 3:2. How much more Liquid B must be added to make the ratio 9:11?
(A) 9 Litres
(B) 10 Litres
(C) 12 Litres
(D) 15 Lt
(E) 16 Litres
Rationale: In current ratio A = (3/5) * 45 = 27
B is 18
Suppose "b" amount of b is added
new ratio = 27/(b+18) = 9/11
=> b+18 = 33
=> b = 15
So, answer will be D
Answer: (D) 15 Lt
Question: A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
(A) 45
(B) 60
(C) 75
(D) 90
(E) 95
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 400
16x = 400
x = 25.
Hence, total number of notes = 3x = 75.
Answer: Option C
Answer: (C) 75
Question: A number is trebled and 10 is subtracted. If the resultant is divided by 5, it becomes 35. What is that number?
(A) 73.5
(B) 185/3
(C) 155/3
(D) None of these
(E) Cannot be determined
Rationale: Solution
Let the number be x.
Then, (3x - 10)/5 ‹=› 35
‹=› 3x - 10 = 175
‹=› 3x= 185
x= 185/3.
Answer B
Answer: (B) 185/3
Question: If q persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
(A) z
(B) x
(C) x/y
(D) z/x
(E) y/z
Rationale: the Q doesn't seem to be having the any correct answer as a choice..
since we are looking for days, lets keep days in end and work out a solution..
q person can do z jobs in y days..
so q person can do 1 job in y/z days..
and 1 person can do 1 job in y^2/z days..
so y person can complete 1 job in y^2/zy=y/z..
so the answer should be y/z=E
Answer: (E) y/z
Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 70 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
(A) 60 %
(B) 65 %
(C) 70%
(D) 75%
(E) 80%
Rationale: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 70 - {Both correctly} + 5
{Both correctly} = 60.
Answer: A.
Answer: (A) 60 %
Question: In a certain alphabet, 16 letters contain a dot and a straight line. 30 letters contain a straight line but do not contain a dot. If that alphabet has 50 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
(A) 4
(B) 8
(C) 12
(D) 16
(E) 20
Rationale: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 16 +30 = 46;
Next, we find the total # of letters without line: 50 - 46 = 4;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 4 - 0 = 4.
Answer: A
Answer: (A) 4
Question: One computer can upload 100 megabytes worth of data in 2 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 10 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?
(A)  6.6
(B)  7
(C)  9
(D)  11
(E)  13
Rationale: Since the first computer can upload 100 megabytes worth of data in 2 seconds then in 2*10=20 seconds it can upload 10*100=1000 megabytes worth of data, hence the second computer in 20 seconds uploads 1300-1000=300 megabytes worth of data. The second computer can upload 100 megabytes of data in 6.6 seconds.
Answer: A.
Answer: (A)  6.6
Question: A six-sided die is rolled once. What is the probability that the number rolled is greater than 3?
(A) 2 / 3
(B) 1 / 2
(C) 3 / 3
(D) 4 / 5
(E) 2 / 4
Rationale: Only 4, 5 & 6 so, 3 / 6 = 1/2
correct answer B
Answer: (B) 1 / 2
Question: When positive integer m is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of q?
I. 8
II. 15
III. 30
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) None of the above
Rationale: ans E..
we can tell the ans w/o using examples..
the units digit of product m*q is 3..
this means m and q are odd positive integers..
therefore q cannot have an even factor so 8 and 30 are out..
q cannot have a factor ending in 5 because in that case the units digit has to be 5 or 0... so 15 is also out
Answer: (E) None of the above
Question: Before 2 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
(A) 36
(B) 42
(C) 54
(D) 60
(E) 64
Rationale: A - 2 = 4(B - 2) --> A - 4B = -6.............1
A + 4 = 3(B + 4) --> A - 3B = 8.............2
(2) - (1) --> B = 14 --> A = 3(18) = 50
A - B = 50 - 14 = 36
Answer: A
Answer: (A) 36
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
(A) 180degree
(B) 160degree
(C) 120degree
(D) 150degree
(E) 170degree
Rationale: We know that angle traced by hour hand in 12 hrs = 360°
From 8 to 2, there are 6 hours.
Angle traced by the hour hand in 6 hours = 6×360/12=180°
Answers is A.
Answer: (A) 180degree
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 44 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
(A) 40
(B) 42
(C) 44
(D) 46
(E) 48
Rationale: Annie earned 40x + 4(2x) = 48x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 48x
(1.5x)(H) = 63x
H = 42 hours
The answer is B.
Answer: (B) 42
Question: In a certain store, the profit is 100% 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?
(A) 30%
(B) 70%
(C) 37.5%
(D) 250%
(E) 120%
Rationale: Let C.P. = Rs. 100. Then, profit = Rs. 100, S.P. = Rs. 200
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 200
Profit = 200 - 125 = Rs. 75
Required percentage = 75/200 * 100 = 37.5%
ANSWER:C
Answer: (C) 37.5%
Question: Mrs. Angel. invested $24,000; part at 5%, and part at 8%. The total interest on the investment was $1,680. How much did she invest at each rate?
(A) x=$13,000, y =$26,000
(B) x=$8,000, y =$16,000
(C) x=$14,000, y =$28,000
(D) x=$15,000, y =$30,000
(E) x=$18,000, y =$36,000
Rationale: I approached this question like a mixture problem.
I don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.
Anyway here's how I did it.
0.05(x) + 0.08(y) = 0.07(x+y)
0.01(y) = 0.02(x)
y = 2x
Note: 0.07(x+y) because $1,680 is 7% of 24,000
In which answer choice is y = 2(x)
Answer B
Answer: (B) x=$8,000, y =$16,000
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.500, what is the reduced price for kg?
(A) 25
(B) 60
(C) 70
(D) 80
(E) 20
Rationale: A
500*(25/100) = 125 ---- 5
? ---- 1 => Rs.25
Answer: (A) 25
Question: The Simple interest and the true discount and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is :
(A) Rs. 1800
(B) Rs. 1450
(C) Rs. 1360
(D) Rs. 6800
(E) None
Rationale: Solution
Sum =S.I xT.D./ ( S.I ) - ( T.D. ) = 85x80/85 - 80 = Rs. 1360.
Answer C
Answer: (C) Rs. 1360
Question: A committee of three people is to be chosen from 5 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
(A) 16
(B) 24
(C) 26
(D) 30
(E) 80
Rationale: Total no of ways of choosing a committee = 10C3 = 120
No of ways to choose first couple = 5C1 = 5
No of ways to choose 1 person from remaining 8 = 8C1 = 8
Total number of ways of choosing a married couple to be in the same committee = 5*8=40
So, no of ways not choosing a married couple = 120-40 =80
ANS:E. 80
Answer: (E) 80
Question: A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
(A) 32
(B) 37
(C) 42
(D) 43
(E) 50
Rationale: The correct answer is D.
A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Given 14 different integers, lets say
n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15
Also given median is 25 i.e. n8 = 24
n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15
As each integer is different we need to find the maximum values for all those numbers before the median.
the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..
18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15
Also given the range is 25 i.e. n15 - n1 (18) = 24
The maximum value n15 can have is 24 + n1 (18) = 42
C
Answer: (C) 42
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
(A) 81.6
(B) 81.9
(C) 81.2
(D) 81.3
(E) 81.1
Rationale: SI = 40 + 40
CI = 40 + 40 + 1.6 = 81.6
Answer: A
Answer: (A) 81.6
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-half of its original value. How many amperes of electrical current will flow through the wire?
(A) 1
(B) 2
(C) 4
(D) 8
(E) 12
Rationale: Given that, I∝1/R, I*R is a constant value.
I1*R1 = I2*R2
I1*R1 = I2*R1/2
I2 = 2*I1 = 8 amperes
The answer is D.
Answer: (D) 8
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $33 if each film contains 36 photos?
(A) 2 films and 26 photos
(B) 5 films and 6 photos
(C) 5 films and 14 photos
(D) 6 films and 4 photos
(E) 6 films and 28 photos
Rationale: 1st photo = 0.55
Subsequent = 0.55*0.6=0.33
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*2=24.2
33-24.2=8.8
8.8=0.55+0.33x
x=25
33--->2 full films and 1+25=26 photos
Answer: A
Answer: (A) 2 films and 26 photos
Question: What is the sum of all three digit integers formed using the digits 2,3 and 4 (repetition is allowed)
(A) 4444
(B) 6100
(C) 8991
(D) 7110
(E) 8800
Rationale: n = 3*3*3 = 27
= (444 + 222) / 2 = 333
Sum = number of integers x average value
n * = 27 * 333 = 8991
answer = C
Answer: (C) 8991
Question: If a tap could fill entire tank in 15 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage
(A) 12hrs
(B) 24hrs
(C) 60hrs
(D) 48hrs
(E) 52hrs
Rationale: time take to fill[withleakage] =15hrs so workdone in 1hr=1/15
time tkae to fill[without leakage]=12hrs so workdone in 1hr=1/12
if u subtract both u'll get time taken by leakage to empty...
1/15-1/12=1/60 so 60hrs
ANSWER:C
Answer: (C) 60hrs
Question: A train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
(A) 340 meters
(B) 360 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined
Rationale: Speed of train = 72 * (5/18) = 20 m/s
Lets consider the man as a stationery point on the platform.
Crossing the point gives us the length of the train.
Lt = 20 * 18 = 360 m.
Crossing the platform gives us the length of trainlength of platform.
L(t+p) = 20 * 35 = 700 m.
So, length of platform = 700 - 360 = 340 m
IMO, Answer
A
Answer: (A) 340 meters
Question: Baby Isabel plays with blocks. Each block is 3.7 inches tall. She has a collection of 41 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
(A) 67"
(B) 90"
(C) 106"
(D) 120"
(E) 151.7"
Rationale: 3.7"*41=151.7". Answer is E.
Answer: (E) 151.7"
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
(A) 299 m
(B) 188 m
(C) 500 m
(D) 188 m
(E) 182 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: C
Answer: (C) 500 m
Question: A train is moving at a speed of 90km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
(A) 30sec
(B) 45sec
(C) 36sec
(D) 20sec
(E) 52sec
Rationale: Speed of the train = 90*5/18 = 25 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(25) = 20sec
Answer is D
Answer: (D) 20sec