mathewhe/aqua_rat huggingface dataset:
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is?
(A) 153600
(B) 153629
(C) 151299
(D) 153129
(E) 152109
Rationale: Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m^2 = 153600 m^2.
Answer: A
Answer: (A) 153600
Question: Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 24 hours. If all the pipes are open,in how many hours will the tank be filled ?
(A) 2.4
(B) 2.6
(C) 3.4
(D) 2.5
(E) 3
Rationale: 1/4+1/8+1/24=10/24=1/2.4. so 2.4 hrs
ANSWER:A
Answer: (A) 2.4
Question: Lexy walks 5 miles from point A to point G in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
(A) 40
(B) 80
(C) 120
(D) 160
(E) 180
Rationale: Lexy walks 5 miles from point A to point G in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
Average speed = total distance/total time
We know the total distance is 5+5 (going from A to G then from G to A)
Time = distance/speed
Time = 5/15
Time = 1/3 hour
Average speed = (10)/(1hr + 1/3hr)
Average speed (lexi) = 10 / 1.33
Therefore, if Ben's average speed is 1/2 of lexi's then his speed = 10/2.66.
This means it took him 2.66 hours to cover the same 10 miles Lexi did. 2.66 hours = roughly 160 minutes.
Answer: D). 160
Answer: (D) 160
Question: Difficulty:
There are five sales agents in a certain real estate office. One month Andy sold four times as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold four times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
(A) Andy
(B) Bob
(C) Cary
(D) Dora
(E) Ellen
Rationale: a= 4e
b =3 +e
c = 4b = 12+ 4e (highest of all)
d = b + e = 3+ e +e = 3 + 2e
Ans. C
Answer: (C) Cary
Question: What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?
(A) 276
(B) 295
(C) 230
(D) 225
(E) 245
Rationale: Required Number
= (LCM of 8, 12, 22 and 24) + 12
= 264 + 12 = 276
Answer: Option A
Answer: (A) 276
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
(A) 19
(B) 17
(C) 13
(D) 10
(E) 12
Rationale: 7*5: 5*x = 7:10
x = 10
Answer: D
Answer: (D) 10
Question: A certain series is defined by the following recursive rule: Sq=K(Sq-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
(A) ROOT 2
(B) ROOT 3
(C) 64*ROOT 3
(D) 64*3^1/3
(E) 64*3^24
Rationale: Ans...D
No need for any GP formula here
The rule is that qth term is K times the (q-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Answer: (D) 64*3^1/3
Question: If YWVSQ is 25 - 24 - 21 - 19 - 17, Then MLIGF
(A) 13 - 11 - 9 - 7 - 8
(B) 13 - 11 - 9 - 7 - 6
(C) 13 - 11 - 9 - 7 - 7
(D) 13 - 11 - 9 - 7 - 3
(E) 13 - 11 - 9 - 7 - 1
Rationale: MLIGF = 13 - 11 - 9 - 7 - 8
Note: this is a dummy question. Dont answer these questions
Answer:A
Answer: (A) 13 - 11 - 9 - 7 - 8
Question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
(A) 54 sec
(B) 28 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
Rationale: D = 100 + 180 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28 sec
Answer:B
Answer: (B) 28 sec
Question: At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 11. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. How many cooks does the restaurant have?
(A) 4
(B) 6
(C) 9
(D) 12
(E) 15
Rationale: Originally there were 3k cooks and 11k waiters.
14k = 11k+12
k=4
There are 12 cooks.
The answer is D.
Answer: (D) 12
Question: There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
(A) 5
(B) 21
(C) 33
(D) 60
(E) 6
Rationale: Explanatory Answer
List down possibilities: From only 1 box all the way to all 6
If only one of the boxes has a green ball, it can be any of the 6 boxes. So, we have 6 possibilities.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
If 3 of the boxes have green balls, there are 4 possibilities: 123, 234, 345, 456.
If 4 boxes have green balls, there are 3 possibilities: 1234, 2345, 3456.
If 5 boxes have green balls, there are 2 possibilities: 12345, 23456.
If all 6 boxes have green balls, there is just 1 possibility.
Total number of possibilities = 6 + 5 + 4 + 3 + 2 + 1 = 21.
Choice B
Answer: (B) 21
Question: At a particular pizza shop, a pizza can be created from any combination of 3 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
(A) 6
(B) 35
(C) 120
(D) 450
(E) 740
Rationale: Number of possible ways to select 1 type of spice = 3c1 = 3
Number of possible ways to select 2 types of cheese = 4c2 = 6
(Here we can pick our answer as D- 450 since it is the only answer that is divisible by 3*6= 18 , but most likely on the GMAT there will be more another answer that will be divisible by 18 )
Number of possible ways to select 4 types of meat but without pepperoni and anchovies together
= Total number of ways without any restriction - Total number of ways in which pepperoni and anchovies together
= 7c4 - 5c2
=35 - 10
=25
Possible ways to garnish the pizza are available to the customer = 3*6 * 25
=450
Answer D
Answer: (D) 450
Question: A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three tubes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).
(A) 0.25
(B) 0.26
(C) 0.27
(D) 0.28
(E) 0.29
Rationale: Solution:
In one hour,
Soln 1:
the large inlet tube fills 1 / 3 of the tank;
the small inlet tube fills 1 / 6 of the tank;
the outlet tube empties 1 / 9 of the tank; and therefore
all three tubes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Soln 2:
Let V be the total volume of the tank. From equation (1),
Flow Rate (large inlet tube) = V / 3
Flow Rate (small inlet tube) = V / 6
Flow Rate (outlet tube) = V / 9.
Substituting in equation (2),
Rate of Accumulation in tank = (V / 3) + (V / 6) − (V / 9).
Using the above result in equation (1),
Time required to fill the complete tank = V / [ (V / 3) + (V / 6) − (V / 9) ].
Note that V cancels out on simplifying the above expression.
Fraction of the tank that will be filled in 0.64 hours =
0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Answer A
Answer: (A) 0.25
Question: A man can row downstream at the rate of 16 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?
(A) 9,6
(B) 11,5
(C) 9,3
(D) 6,6
(E) None of these
Rationale: Explanation:
Rate of still water = 1/2 (16 + 6) = 11 Km/hr
Rate of current = 1/2 (16-6) = 5 Km/hr
Answer: Option B
Answer: (B) 11,5
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much? Look at this series: 5, 43, 15, 33, 25, ...What number should come next?
(A) 10
(B) 40
(C) 23
(D) 13
(E) 20
Rationale: C23This is an alternating addition and subtraction series. In the first pattern, 10 is added to each number to arrive at the next. In the second, 10 is subtracted from each number to arrive at the next.
Answer: (C) 23
Question: If x/|y| = -sq. root 25 which of the following must be true?
(A) x^2 = 25 * y^2
(B) x = y
(C) x = y^2
(D) x^2 = y^2
(E) x^3 = y^3
Rationale: x/|y| = -sq. root 25
x= -sq. root (25) |y|
Squaring both sides
x^2= ( -sq. root 25 |y|) ^2=25 * y^2
A is the answer
Answer: (A) x^2 = 25 * y^2
Question: If x, y, and z are positive integers and x = 14y = 7z, then the least possible value of x + y + z is
(A) 33
(B) 40
(C) 49
(D) 61
(E) 17
Rationale: x + y + z = x/14 + x + x/7
= (1 + 14 + 2 )x/14 = 17x/14
17 is not divisible by 14(it's a prime #), so for least value, x = 14
Answer -E
Answer: (E) 17
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
(A) 3 hrs 65 min
(B) 3 hrs 45 min
(C) 3 hrs 48 min
(D) 3 hrs 25 min
(E) 3 hrs 85 min
Rationale: Time taken by one tap to fill the tank = 3 hrs.
Part filled by the taps in 1 hour = 4 * 1/6 = 2/3
Remaining part = 1 - 1/2 = 1/2
2/3 : 1/2 :: 1 : x
x = 1/2 * 1 * 3/2 = 3/4 hrs. i.e., 45 min
So, total time taken = 3 hrs 45 min.
Answer: B
Answer: (B) 3 hrs 45 min
Question: A circular path of 25 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at 25p per m2?
(A) Rs..49.00
(B) Rs.40.15
(C) Rs.124.93
(D) Rs.42.53
(E) Rs.43.66
Rationale: Explanation:
π (28^2 - 25^2) = 22/7 * (784-625) = 499.71
499.71 * 1/4 = 124.93
Answer: Option C
Answer: (C) Rs.124.93
Question: When 4 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
(A) 32
(B) 81
(C) 60
(D) 120
(E) 11
Rationale: Explanation:
Let the number be
4 + 1/2[1/3(a/5)] = a/15
=> 4 = a/30 => a = 120
Answer:D
Answer: (D) 120
Question: If 4 people are selected from a group of 10 married couples, what is the probability that none of them would be married to each other?
(A) 1/33
(B) 2/63
(C) 1/3
(D) 43/62
(E) 11/12
Rationale: If we are to select 4 people from 10 couples WITHOUT any restriction, how many ways can we make the selection? 20!/4!16! =4845
If we are to select 4 people from 10 couples WITH restriction that no married couple can both make it to the group, only a representative?
10!/4!6! = 210
But we know that to select a person from each couple, take 2 possibilities
210*2*2*2*2 = 3360
Probability = Desired/All Possibilities =3360/4845 = 43/62
Answer: D
Answer: (D) 43/62
Question: (8^15)+(16^13)+(4^24) = ?
(A) (4)*(2^29+1)
(B) (6)*(2^48)
(C) (9)*(2^49)
(D) (28)*(2^53)
(E) 2^148
Rationale: I think you are assuming that (X^Y) + (X^Z) is = (X^Y+Z) which is not true, as it only applies to multiplication. Rather it would have to be (X^Y)(X^Z) = (X^YZ)
So when you simplify down to 2^48 + 2^52 + 2^48 you cannot just add exponents.
Here's how my brain works with this one,
Step 1: Recognize a common base.
(8^16) + (16^13) + (4^24) = ((2^2)^16) + ((2^4)^13) + ((2^2)^24) = (2^48) + (2^52) + (2^48)
Step 2: Recognize the factor and pull out of the equation.
= (2^48)(1 + (2^4) + 1)
= (2^48)(1 + 16 + 1)
= (2^48)(18)
Step 3: Recognize this is not an answer and adapt.
(2^48)(18) = (2^48)(2)(9) = (2^49+1)(4)
Answer is A.
Answer: (A) (4)*(2^29+1)
Question: A company has 3 directors and 5 managers. How many different committees with 4 people can be chosen having at least 1 director?
(A) 500
(B) 720
(C) 4500
(D) 25
(E) 65
Rationale: atleast one means exactly one and more than one.
different committees with 5 people can be chosen having at least 1 director is
(3c1*5c3) + (3c2*5c2) + (3c3*5c1) = 65;
Hence E.
Answer: (E) 65
Question: . A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
(A) 2/20
(B) 1/9
(C) 5/9
(D) 6/4
(E) 7/15
Rationale: Explanation:
Two balls can be picked from nine balls in â¹Câ‚‚ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done âµCâ‚ . â´Câ‚ ways.
The required probability = (5 * 4)/â¹Câ‚‚ = 20/36 = 5/9
C
Answer: (C) 5/9
Question: Find the odd man out, 4, 9, 25, 35, 36, 64
(A) 9
(B) 35
(C) 36
(D) None of these.
(E) All of these.
Rationale: The pattern:
2*2
3*3
5*5
6*6
8*8
35 is not a square number.
ANSWER: B
Answer: (B) 35
Question: What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97?
(A) 3
(B) 5
(C) 7
(D) 9
(E) 10
Rationale: Sol.
On dividing 13924 by 97, we get remainder = 5.
∴ Required number to be subtracted = 5.
Answer B
Answer: (B) 5
Question: The greatest number by which the product of three consecutive multiples of 5 is always divisible is
(A) 54
(B) 750
(C) 152
(D) 162
(E) None of these
Rationale: Solution
Required number	= Product of first three multiplies of 3
= (5 Ã— 10 Ã— 15)= 750.
Answer B
Answer: (B) 750
Question: During a certain week, a seal ate 55% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
(A) 32
(B) 40
(C) 55
(D) 64
(E) 80
Rationale: Total smelt = x.
Then, 0.55*80+0.3(x-80)=0.4*x --> x=200 --> 0.4*x=80.
Answer: E.
Answer: (E) 80
Question: Of the votes cast on a certain proposal, 58 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
(A) 230
(B) 245
(C) 260
(D) 275
(E) 290
Rationale: Let x be the total number of votes cast.
0.6x = 0.4x + 58
0.2x = 58
x = 290
The answer is E.
Answer: (E) 290
Question: There are certain diamonds in a shop.
1 thief stole half of diamonds and 2 more.
2 thief stole half of remaining and 2 more
3 same as above
4 same as above.
5 came nothing was left for that.how many diamonds was there??
(A) 50
(B) 60
(C) 70
(D) 80
(E) 90
Rationale: Let diamonds are x.
1.x/2+2=(x+4)/2,remaining=x-(x+4/2)=>( x-4)/2
2. remaining/2+2 i.e (x-4)/4+2=x+4/4, remaining=(x-4)/4-(x+4)/4=>x-12/4
3. (x-12)/8+2=(x+4)/8,remaining= (x-12)/4-(x+4)/8=>(x-28)/8
4.(x-28)/16+2=x+4/16, remaining= (x-28)/8-(x+4)/16=>(x-60)/16
5. (x-60)/16=0 so x=60
ANSWER:B
Answer: (B) 60
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is Z?
(A) 50+Z/200
(B) 50+3Z/100
(C) 50+Z/40
(D) 100+Z/50
(E) 100+3A/100
Rationale: 50+Z/40=C
Answer: (C) 50+Z/40
Question: A bus trip of 280 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip?
(A) 35
(B) 40
(C) 45
(D) 50
(E) 55
Rationale: The time is the distance/speed. The time difference is 1 hour.
280/V - 280/(V+5) = 1
280(V+5) - 280V = (V)(V+5)
1400 = (V)(V+5)
35*40 = (V)(V+5)
V = 35 mph
The answer is A.
Answer: (A) 35
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number W?
(A) 60
(B) 80
(C) 40
(D) 120
(E) 160
Rationale: (1 + 1/8)x - (1 - 1/4)x = 30
(9/8)x - (3/4)x = 30
x = 80=W
Answer: B
Answer: (B) 80
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
(A) Rs.9880
(B) Rs.9670
(C) Rs.9780
(D) Rs.9682
(E) Rs.9680
Rationale: A= P{1 + R/100}n
=> 8000{1 + 10/100}2
= Rs.9680
Answer:E
Answer: (E) Rs.9680
Question: A man can row 5 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
(A) 5.75
(B) 5.7
(C) 5.76
(D) 4.2
(E) 5.71
Rationale: M = 5
S = 2
DS = 7
US = 3
x/7 + x/3 = 1
x = 2.1
D = 2.1 * 2 = 4.2 Answer: D
Answer: (D) 4.2
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
(A) 1 cm
(B) 6 cm
(C) 2 cm
(D) 5 cm
(E) 9 cm
Rationale: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3
=> h = 9 cm
Answer:E
Answer: (E) 9 cm
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 30 cm?
(A) 827 cm2
(B) 570 cm2
(C) 285 cm2
(D) 178 cm2
(E) 176 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (30)
= 570 cm2
Answer:B
Answer: (B) 570 cm2
Question: A is twice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by A alone to finish the work is :
(A) 36 days
(B) 24 days
(C) 46 days
(D) 16 days
(E) 14 days
Rationale: Solution
(A’s 1 day’s work): (B’s 1 day’s work)= 2 : 1.
(A + B)'s 1 day’s work = 1/16
Divide 1/14 in the ratio 2 : 1.
∴ A’s 1 day’s work = (1/14 x2/3)= 1/24
Hence,A alone can finish the work in 24 days.
Answer B
Answer: (B) 24 days
Question: How many positive integers H between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
(A) 3
(B) 16
(C) 75
(D) 24
(E) 26
Rationale: 1) I figured there are 101 integers (300 - 200 + 1 = 101). Since the set begins with an even and ends with an even, there are 51 evens.
2) Question says integers are not divisible by 2, leaving all of the odds (101 - 51 = 50 integers).
3) Question says integers are not divisible by 5, removing all the integers ending in 5 (already took out those ending in 0). Take out 10 integers (2?5, ? = 0 to 9), leaving us with 40 integers.
4) Now the painstaking part. We have to remove the remaining numbers that are multiples of 3. Those are 201, 207, 213, 219, 231, 237, 243, 249, 261, 267, 273, 279, 291, and 297...a total of 14 numbers. 26 numbers left!
6) Answer choice E.
Answer: (E) 26
Question: A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10% unleaded petrol. What quantity of leaded petrol should be added to 1 ltr mixture so that the percentage of unleaded petrol becomes 5%?
(A) 1000 ml
(B) 900 ml
(C) 1900 ml
(D) 1800 ml
(E) None of these
Rationale: In 1 lit mixture quantity of unleaded petrol = 100 ml
Let x ml leaded petrol be added, then
5% of (1000 + x) = 100 ml
or, 5 (1000 + x) = 100 × 100
⇒ x = 5000⁄5 = 1000 ml
Answer A
Answer: (A) 1000 ml
Question: In order to obtain an income of Rs. 680 from 10% stock at Rs. 120, one must make an investment of
(A) 5363
(B) 8160
(C) 2368
(D) 1987
(E) 2732
Rationale: To obtain Rs. 10, investment
= Rs. 120.
To obtain Rs. 680, investment =
= Rs. 8160.
Answer: B
Answer: (B) 8160
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 57. What is that number
(A) 5
(B) 10
(C) 12
(D) 14
(E) 15
Rationale: Explanation:
=> 3(2x+9) = 57
=> 2x+9 = 19
=> x = 5
Answer: Option A
Answer: (A) 5
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
(A) 2.6
(B) 2.1
(C) 2.5
(D) 2.4
(E) 2.7
Rationale: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
Answer: C
Answer: (C) 2.5
Question: The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is :
(A) 3
(B) 13
(C) 23
(D) 33
(E) 43
Rationale: Solution
L.C.M. of 5,6,4 and 3 = 60. on dividing 2497 by 60, the remainder is 37.
∴ Number to be added = (60-37) = 23. Answer C
Answer: (C) 23
Question: 5 identical snow plows can clear an iced parking lot in 2 hours. How long would it take 6 such snow plows to clear the same parking lot?
(A) 1 hour, 20 minutes
(B) 2 hours, 30 minutes
(C) 3 hours
(D) 7 hours, 30 minutes
(E) 10 hourss
Rationale: 6/5 as many plows will take 5/6 as many hours --> 2*5/6=5/3 hours = 1 hour, 20 minutes.
Answer: A.
Answer: (A) 1 hour, 20 minutes
Question: 180 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
(A) 1~10
(B) 10~20
(C) 35~45
(D) 65~75
(E) 85~95
Rationale: 180 = 2^2*3^3*5
There are factors in each range except for 65~75
The answer is D.
Answer: (D) 65~75
Question: A certain car can travel 40 minutes on a gallon of gasoline at 70 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
(A) 15%
(B) 30%
(C) 25%
(D) 20%
(E) 40%
Rationale: Let, Tank capacity = T gallon
Used Fuel = (T-8) gallons
Distance Travelled (@70 miles/hr) = 80 miles
Distance travelled in 1 gallon = Distance travelled in 40 mins (@60 miles/hr) = (70/70)*40 = 40 miles
Fuel used to travel 80 miles = (80/40) = 2 gallon
i.e. Used fuel = (T-8) = 2 gallon
i.e. T = 10 Gallons
i.e. Used Fuel = (2/10)*100 =20%
D
Answer: (D) 20%
Question: A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.
(A) 10%
(B) 20%
(C) 25%
(D) 28%
(E) 34%
Rationale: Explanation:
We know, C.P. = 5000
S.P. = 4000
Loss = 5000 - 4000 = 1000
Loss%=(Loss/ Cost∗100)%=(1000/ 5000∗100)%=20%
Option B
Answer: (B) 20%
Question: There are 7 baskets numbered from 1 to 7 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
(A) 90
(B) 120
(C) 250
(D) 720
(E) 910
Rationale: Each child takes a total of 1+2+3+4+5+6+7 = 7*8/2 = 28 apples.
The total number of apples taken by 10 children is 10*28 = 280
The number of apples left in the end is 1000 - 280 = 720 apples.
The answer is D.
Answer: (D) 720
Question: Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
(A) 40 min
(B) 45 min
(C) 35 min
(D) 20 min
(E) 50 min
Rationale: Dist = speed * time
time = 2hr 45 min = 11/4 hr
==> 4*11/4 = 11 km
new speed = 16.5 kmph
==> 11/16.5 = 40 min
ANSWER A
Answer: (A) 40 min
Question: A bat is bought for Rs.450 and sold at a gain of 20% find its selling price
(A) s.430/-
(B) s.480/-
(C) s.400/-
(D) s.540/-
(E) s.600/-
Rationale: 100 % ------> 450
120 % ------> 450 *(120/100)
Selling price = Rs.540/-
D
Answer: (D) s.540/-
Question: Sandy is younger than Molly by 6 years. If their ages are in the respective ratio of 7:9, how old is Molly?
(A) 21
(B) 24
(C) 27
(D) 36
(E) 45
Rationale: S = M - 6
S / M = 7/9
9S = 7M
9(M-6) = 7M
M = 27
The answer is C.
Answer: (C) 27
Question: (51+52+53+………+100) is equal to:
(A) 2525
(B) 2975
(C) 3225
(D) 3775
(E) 3885
Rationale: (51+52+53+………+100) = (1+2+3+…….+100)- (1+2+3+4+……+50)
= (100*101)/2 - (50*51)/2
= (5050-1275)= 3775.
Answer: D
Answer: (D) 3775
Question: The height of cylinder is 14 Cm and its diameter is 10 Cm. The volume of the cylinder is:
(A) 4400
(B) 2200
(C) 5500
(D) 1100
(E) 3300
Rationale: h = 14 Cm and r = 5 Cm
Cylinder volume = πr(power2)h = (22/7 × 5 × 5 × 14) Cm(power3) = 1100 Cm(power3)
Answer is D.
Answer: (D) 1100