divelab/Sys2Bench huggingface dataset:
Question: A restaurant sells salmon pizzas for $13 each and pepperoni pizzas for $9 each. On every salmon pizza the restaurant makes a profit of $3 while on every pepperoni pizza it makes a profit of $1. If on a given day the restaurant's sales amounted to $468, which of the following cannot be the profit made on that day?
Options:
A)108
B)94
C)88
D)80
E)66
Rationale: $88 is the only option that does not fit into a combination of salmon and pepperoni pizza sales profits, given the total sales of the day. Answer: C
Answer: C
Question: Percentage of profit earned by selling a book for $3360 is equal to the percentage loss incurred by selling the same book for $2640. What price should the book be sold to make 20% profit?
Options:
A)$3600
B)$4000
C)$3500
D)$3700
E)$4000
Rationale: Let C.P. be Rs. x.
Then,(3360 - x)	x 100 =(x - 2640) x 100
3360 - x = x - 2640
2x = 6000
x = 3000
Required S.P. = 120% of 3000 = 1.20	x 3000 = $3600
Answer : A
Answer: A
Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 5 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
Options:
A)5cdx/100
B)d + 5cx/100
C)5d + xc/100
D)5d + 5xc/100
E)5cdx
Rationale: Answer is D. Straight forward question.
Answer: D
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 21 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 39 = 21 + 18 + 12 - 4 - 2x
2x = 21 + 18 + 12 - 4 - 39
= 47 - 39
= 8
x = 4
C
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Options:
A)Rs.450
B)Rs. 1640
C)Rs.523
D)Rs.458
E)Rs.796
Rationale: Explanation:
(x*8*3)/100 = ((2665 - x)*3*5)/100
24x/100 = 39975/100 - 15x/100
39x = 39975 => x = 1025
Second sum = 2665 – 1025 =Rs. 1640
Answer: B
Answer: B
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2200.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
Options:
A)20%
B)30%
C)60%
D)50%
E)33%
Rationale: Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 33%
E
Answer: E
Question: If the selling price is doubled,the profit is tripled,what is the percentage of profit??
Options:
A)50%
B)100%
C)150%
D)200%
E)250%
Rationale: Let the profit be 10, then
SP-CP=10 and 2SP-CP=30
Solving the above equations we get SP=20 and CP=10, so CP=Profit
Hence the answer is B (100%)
Answer: B
Question: What is the greatest prime factor of 4^17 - 2^26?
Options:
A)2
B)3
C)5
D)127
E)11
Rationale: I'm happy to help with this.
We know 4 = 2^2, so 4^17 = (2^2)^17 = 2^(2*17) = 2^34
That takes advantage of a law of exponents that says (a^n)^m = a^(n*m)
So, 4^17 - 2^26 = 2^34 - 2^26 = 2^(26 + 8) - 2^26 = (2^26)*(2*8) - 2^26 = (2^8 - 1) *(2^26)
= (128 - 1)*(2^26) = 127*(2^26)
The prime factors of 63 are 127, so the largest prime factor is 127, answer choice D.
Here's a blog you may find helpful.
http://magoosh.com/gmat/2012/gmat-math-factors/
Does all that make sense? Please let me know if you have any further questions.
Mike
Wow. I am floored by how great of an explanation you provided. Posts like that make me really think that doing thousands of practice problems with good explanations beats out reading books on math every day of the week.
D
Answer: D
Question: Calculate the average of first 9 even numbers is?
Options:
A)10
B)13
C)12
D)15
E)17
Rationale: Explanation:
Sum of 10 even numbers = 9 * 10 = 90
Average = 90/9 = 10
Answer: Option A
Answer: A
Question: There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
A)90
B)120
C)315
D)180
E)200
Rationale: Number of ways of selecting 2 fiction books = 7C2
Number of ways of selecting 2 non fiction books = 6C2
7C2 * 6C2 = 21 * 15 = 315
Answer: C
Answer: C
Question: Find the average of all the numbers between 6 and 34 which are divisible by 7.
Options:
A)18
B)20
C)17.5
D)30
E)32
Rationale: Solution
Average	= (7+14+21+28)/4)
= 70 / 4
= 17.5.
Answer C
Answer: C
Question: The radius of a wheel is 20.4 cm. What is the distance covered by the wheel in making 400 resolutions?
Options:
A)512.448 m
B)704 m
C)510.448 m
D)706 m
E)204 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 400 resolutions.
= 400 * 2 * 22/7 * 20.4 = 51244.8 cm
= 512.448 m
Answer:A
Answer: A
Question: If 5a = 6b and ab ≠0, what is the ratio of a/6 to b/5?
Options:
A)36/25
B)10/12
C)1
D)1/5
E)25/36
Rationale: A nice fast approach is the first find a pair of numbers that satisfy the given equation: 5a = 6b
Here's one pair: a =6and b =5
What is the ratio of a/6 to b/5?
In other words, what is the value of (a/6)/(b/5)?
Plug in values to get: (a/6)/(b/5) = (6/6)/(5/5)
= 1/1
= 1
C
Answer: C
Question: In what time will a train 140 m long cross an electric pole, it its speed be 190 km/hr?
Options:
A)2.6 sec
B)2.9 sec
C)2.7 sec
D)8.7 sec
E)8.5 sec
Rationale: Speed = 190 * 5/18 = 53 m/sec
Time taken = 140/53 = 2.6 sec.
Answer: A
Answer: A
Question: Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum G of their ages will be 51, how old is Stephanie ?
Options:
A)6
B)10
C)14
D)20
E)24
Rationale: 1) take C (14y.o.), so mean that S=14, J=28, their sum itself is 42+10 years from now is 52, it is over the 51,
so eliminate C,D,E
2) take B (10y.o.),G= meaning S=10,J=20, so 20+10+10=40 and for K=10-4/3=2+9=11, finally 40+11=51. It is correct
B
Answer: B
Question: In order to fulfill a local school’s request for x cakes, y parents agreed to each bake an equal number of cakes. If z of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Options:
A)xy
B)xyz
C)xy/z
D)zx/(y(y - z))
E)zy/x
Rationale: No of cakes each parent has to bake : x/y
No of parents did not bake cake = z
No of cakes that were not baked by p parents = z*x/y
No of parents has to bake additional cakes = y-z
additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes = zx/(y(y - z))
Answer D
Answer: D
Question: Simplify: 200 x 200 - 150 x 150
Options:
A)761200
B)761400
C)761800
D)17500
E)None of them
Rationale: (200)^2 - (150)^2 = (200 + 150) (200 - 150) = 350 x 50 = 17500.
Answer is D
Answer: D
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Options:
A)21
B)16
C)16
D)28
E)12
Rationale: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? è 28 m
Answer: D
Answer: D
Question: You need to unlock a secret code using following clues,
Can you?
Here you have the clues:
Clue-1 : 0 7 9 (One of the numbers is correct and is placed in its correct position)
Clue-2 : 0 3 2 (Nothing is correct)
Clue-3 : 1 0 8 (Two numbers are correct but not placed at its correct position.)
Clue-4 : 9 2 6 (One number is correct but not placed at its correct position.)
Clue-5 : 6 7 8 (One number is correct but not placed at its correct position.)
Options:
A)819
B)918
C)198
D)189
E)891
Rationale: 0 7 9 : 9 is placed correctly
* 0 3 2 : None of the numbers is in the code
* 1 0 8 : 1 and 8 are correct number of code but placed at wrong position
* 9 2 6 : Number 9 is there but placed at wrong position
* 6 7 8 : Number 8 is there but placed at wrong position
correct answer is A)819
Answer: A
Question: On a map, 1 inch represents 28 miles. How many V inches would be necessary to represent a distance of 383.6 miles?
Options:
A)5.2
B)7.4
C)13.7
D)21.2
E)28.7
Rationale: V inches necessary to represent a distance of 383.6 miles = 383.6/28
= 13.7
Answer C
Answer: C
Question: In a particular state, 60% of the counties received some rain on Monday, and 55% of the counties received some rain on Tuesday. No rain fell either day in 25% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
Options:
A)12.5%
B)40%
C)50%
D)60%
E)67.5%
Rationale: 60 + 55 + 25 = 140%
The number is 40% above 100% because 40% of the counties were counted twice.
The answer is B.
Answer: B
Question: A Washing machine is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Options:
A)18%
B)19%
C)21.2%
D)21.81%
E)22.07%
Rationale: Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years
the way I see it:Washing machine on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000
For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)
thus, SI = 2000 or
2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)
R = (2,000*12*100)/22,000*5
R = 21.81%
Therefore answer is D
Answer: D
Question: Certain stocks in January were 30% greater than they were in February and 20% lesser than they were in March. What was the percentage decrease in the stocks from February to March?
Options:
A)44%
B)30%
C)40%
D)47.5%
E)50%
Rationale: Let stocks value in Feb = 100 => In Jan = 70 and March = 70 * 80/100 = 56
Thus, percent decrease in stocks from Feb to March = 100 - 56 = 44%
Hence Answer is A
Answer: A
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of e square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Options:
A)(5,280 mt) / 12 e
B)(5,280 pt) / 12m
C)(5,280 pmt) /12
D)(5,280)(12m) / pt
E)(5,280)(12p) / mt
Rationale: Given that: 1 gallon of paint covers an area ofesquare feet. Question:how many gallonsof paint will be needed ...
In any case you will have:(total area in square feet)/(gallons per feet)=(total area in square feet)/e, so e must be in the denominator: eliminate all but A and D.
Now, lets see where should be t: (area in square feet)=(width in feet)*(length in feet) --> width=tinchesas1 feet=12 inchesthent inches=t/12 feet, so (area in square feet)=(t/12) * (length in feet), so t must be in the nominator: only A is left.
Answer: A.
Answer: A
Question: In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 4 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is
Options:
A)1 to 2
B)1 to 3
C)1 to 4
D)1 to 5
E)3 to 4
Rationale: IMO : Answer D 1 to 5
Answer: D
Question: A student committee that must consists of 3 members is to be formed from a pool of 8 candidates. How many different committees are possible
Options:
A)5
B)8
C)40
D)56
E)336
Rationale: I think the answer is 56.
Out of 8 people, any 3 can be selected for a committee. So 8c3 is the answer.
D
Answer: D
Question: A cement block balances evenly on the scales with 3 quarters of a pound and 3 quarters of a block. What is the weight of the whole block?
Options:
A)1 pounds
B)2 pounds
C)3 pounds
D)4 pounds
E)5 pounds
Rationale: x= 3/4 +x*3/4
x/4 = 3/4
x= 3 pounds
ANSWER:C
Answer: C
Question: How many different sets of positive square integers P, each greater than 1, add up to 75?
Options:
A) 1
B) 4
C) 7
D) 11
E) 13
Rationale: E= 13 is the correct answer.
Answer: E
Question: Of the three-digit integers greater than 800, how many have two digits that are equal to each other and the remaining digit different from the other two?
Options:
A) 90
B) 82
C) 43
D) 45
E) 36
Rationale: Three digit number can have only following 3 patterns:
A. all digits are distinct;
B. two digits are alike and third is different;
C. all three digits are alike.
We need to calculate B. B=Total - A - C
Total numbers from 800 to 999 = 199 (3-digit numbers greater than 800);
A. all digits are distinct = 2*9*8=144 (first digit can have only three values 7, 8, or 9);
C. all three are alike = 2(, 888, 999).
So, 199-144-2=43
Answer: C.
Answer: C
Question: HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 24, then the other number is?
Options:
A)36
B)198
C)132
D)264
E)364
Rationale: 12 * 396 = 24 * x
x = 198
ANSWER:B
Answer: B
Question: If a man walks at a rate of 10kmph, he misses a train by 14minutes. However, if he walks at the rate of 12kmph, he reaches the station 10minutes before the arrival of the train. Find the distance covered by him to reach the station.
Options:
A)6 KM
B)15
C)12
D)4
E)8
Rationale: Let the required distance x km
difference in the times taken at two speeds = 12min = 1/5 hr
(x/10)-(x/12) = 1/10
x = 6
the required distance is 6 km
Answer is A
Answer: A
Question: Today is Saturday. The day after 59 days will be
Options:
A)Monday
B)Tuesday
C)Saturday
D)Sunday
E)None of these
Rationale: Explanation :
59 days = 8 weeks 3 days = 3 odd days
Hence if today is Saturday, After 59 days, it will be = (Saturday + 3 odd days)
= Tuesday. Answer : Option B
Answer: B
Question: In a class of 10 students, the teacher writes a number on the board. The first student tells that number is divisible by 1, the second student tells that the number is divisible by 2, the third by 3, the forth by 4 and so on till 10. If the statement of one of the students is wrong then what is the least number possible.
Options:
A)320
B)340
C)360
D)380
E)400
Rationale: Statement of 7th student was wrong.
No is not divisible by 7.
LCM of 2,3,4,5,6,8,9,10 = 360
ANSWER:C
Answer: C
Question: A box contains 3 blue marbles, 3 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Options:
A)1/364
B)2/455
C)1/91
D)4/455
E)None of these
Rationale: Given that there are three blue marbles, three red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = 3C₃/14C₃ = (1 * 3 * 2 * 1)/(14 * 13 * 12) = 1/364
ANSWER:A
Answer: A
Question: A shopkeeper purchased 90 kg of potatoes for Rs. 540 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?
Options:
A)38 1/9 %
B)38 9/3 %
C)38 1/3 %
D)32 1/3 %
E)33 2/6 %
Rationale: C.P. of 1 kg = 540/90 = Rs. 6S.P. of 1 kg = Rs. 8Gain % = 2/6 * 100 = 200/6 = 33 2/6 %Answer: E
Answer: E
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Options:
A)16 years
B)18 years
C)20 years
D)22 years
E)24 years
Rationale: Explanation:
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then,
(6x + 6) + 4	=11
(5x + 6) + 4	=10
⇒ 10(6x + 10) = 11(5x + 10)
⇒ 5x = 10
⇒ x = 2.
Sagar's present age = (5x + 6) = 16 years.
Answer: A
Answer: A
Question: Two employees X and Y are paid a total of Rs. 616 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options:
A)s.250
B)s.280
C)s.290
D)s.299
E)s.300
Rationale: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 616
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 616
⇒ y[12/10 + 1] = 616
⇒ 22y/10 = 616
⇒ 22y = 6160
⇒ y = 6160/22 = 560/2 = Rs.280
B
Answer: B
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Options:
A)Rs. 500
B)Rs. 1500
C)Rs. 2000
D)Rs. 2500
E)None of these
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
Answer: Option C
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5
B)7.3
C)2.3
D)1.4
E)1.1
Rationale: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Answer: A
Answer: A
Question: A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
Options:
A)11 3/7cm
B)11 2/7cm
C)11 1/7cm
D)11cm
E)None of these
Rationale: Explanation:
Let the drop in the water level be h cm, then,
Volume of cylinder= πr2h
=>22/7∗35/2∗35/2∗h=11000
=>h=11000∗7∗4/ 22∗35∗35cm=80/7cm=11 3/7cm
Option A
Answer: A
Question: If the area of a circle is 144pi square feet, find its circumference.
Options:
A)65 pi feet
B)24 pi feet
C)42 pi feet
D)18 pi feet
E)64 pi feet
Rationale: The area is given by pi * r * r. Hence
pi * r *r = 144 pi
r *r = 81 ; hence r = 12 feet
The circumference is given by
2 *pi *r = 2 * pi * 12 = 24 pi feet
correct answer B
Answer: B
Question: In how many ways can the six letters of the word "mammal" be arranged in a row?
Options:
A)20
B)40
C)31
D)60
E)64
Rationale: Since there are 3 "m"s , 2 "a"s and 1 "l" in the word "mammal", we have:
(3+2+1)! / (3! * 2! * 1!)=60
​Ans-D
Answer: D
Question: a light flashes every 6 seconds, how many times will it flash in ? of an hour?
Options:
A)550
B)600
C)650
D)700
E)750
Rationale: 1flash=6sec
for 1 min=10flashes
so for 1 hour=10*60=600 flashes.
ANSWER:B
Answer: B
Question: Suppose a game is played between two players A and B. On each turn of the game, exactly
one of A or B gets a point. Suppose A is better than B and has a probability of 2/3 of getting
a point on each turn of the game. The first person to get two points ahead in the game is the
winner. What is the probability that A wins the game?
Options:
A)5/9
B)4/7
C)2/3
D)4/5
E)8/9
Rationale: Let W0 be the event that Player A wins the game. The goal is to compute P(W0).
Let W1 be the event that Player A wins the game given that she is ahead by one point. Let
W-1 be the event Player A wins the game given that she is behind by one point. Then, the
probability that Player A wins the game is
P(W0) = P(A is ahead by 1 point)P(W1) + P(A is behind by 1 point)P(W-1)
= (2/3)P(W1) + (1/3)P(W-1): (1)
Now,
P(W1) = P(Player A gets a point on the next turn) + P(Player B gets a point on the next turn)P(W0)
= (2/3) + (1/3)P(W0);
and
P(W-1) = P(Player A gets a point on the next turn)P(W0) = (2/3)P(W0):
Substituting these equations into (1) we have
P(W0) = (2/3)[(2/3) + (1/3)P(W0)] + (1/3)(2/3)P(W0) = 4/9 + (4/9)P(W0):
Therefore, P(W0) = (4/9)(9/5) = 4/5
correct answer D
Answer: D
Question: If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
Options:
A)2:3
B)5:3
C)5:6
D)1:4
E)3:4
Rationale: The ratio of bananas to cucumbers is 1 to 3 which equals 2 to 6.
The ratio of apples to bananas to cucumbers is 5 to 2 to 6.
The ratio of apples to cucumbers is 5 to 6.
The answer is C.
Answer: C
Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed
against the current will be
Options:
A)11 kmph
B)12 kmph
C)14 kmph
D)17 kmph
E)None of these
Rationale: Explanation:
Speed with current is 20,
speed of the man + It is speed of the current
Speed in sƟll water = 20 - 3 = 17
Now speed against the current will be
speed of the man - speed of the current
= 17 - 3 = 14 kmph
Answer: C
Answer: C
Question: Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Options:
A)30
B)42
C)120
D)360
E)720
Rationale: 5 people ,7 seats, only 2 can drive
if inna is in one seat remaining, 4 people can be arranged in 4p4 i.e 4! =24 ways
since any one can drive total ways = 24 *2= 48 ways
4 seats can be chosen out of remaining 6 seats in 6c4 ways = 6!/(4!*2!)= 15 ways
48*15=720
ANSWER:E
Answer: E
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Options:
A)2
B)5
C)6
D)7
E)8
Rationale: 3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/100
R = 5%.Answer: B
Answer: B
Question: Jaclyn buys $20 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Options:
A)475
B)234
C)289
D)345
E)None of these
Rationale: Explanation:
I=(p x r x t)/100
= 30000*9.5/100*(18/12)^1/6 = 475
Answer: A
Answer: A
Question: A train 280m long is running at 70kmph. In how much time will it pass a platform 210m long?
Options:
A)1.5 seconds
B)9.56 seconds
C)28.56 seconds
D)30.56 seconds
E)3.5 seconds
Rationale: Distance travelled = 280 + 210m = 490mSpeed = 70 * 5/8 = 205/4mTime = 490 * 4/205 = 9.56 SecondsAnswer : B.
Answer: B
Question: A person purchases 90 shirts and sells 40 shirts at a gain of 10% and 50 shirts at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got $40 less. The cost price of each shirt is:
Options:
A)10
B)30
C)80
D)40
E)90
Rationale: C
80
Let C.P. of shirt be $x.
Then, C.P. of 90 shirts = $90x.
[(110% of 40x) + (120% of 50x)] - (115% of 90x) = 40
44x + 60x - 103.5x = 40
0.5x = 40 => x = 80
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Options:
A)12 kmph
B)88 kmph
C)24 kmph
D)17 kmph
E)19 kmph
Rationale: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 3x/(x/8) = 24 kmph
Answer: C
Answer: C
Question: If 20 shirts can be purchased for 5 dollars, how many shirts can be purchased for 10 dollars?
Options:
A)10
B)30
C)60
D)40
E)20
Rationale: 200/5=40
Ans = D
Answer: D
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)299 meters
B)278 meters
C)500 meters
D)276 meters
E)299 meters
Rationale: Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds
Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s
Distance = Speed*Time
800+x = (65/3) * 60
800+x = 20 * 65 = 1300
x = 1300 - 800 = 500 meters
Answer: C
Answer: C
Question: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,20) and (-5,15). Which can be the coordinate of fourth vertex?
Options:
A)(-5,-5)
B)(5,15)
C)(-5,-20)
D)(-5,10)
E)(15,20)
Rationale: A(-5, 15)
B(5, 15)
C(5, 20)
X(-5, 20): Parallelogram=Square=AXCB, where AX||CB, AX=CB, XC||AB, XC=AB
Y(-5, 5): Parallelogram=AYBC, where AY||BC, AY=BC, AC||YB, AC=YB
Z(15, 20): Parallelogram=ACZB, where AC||ZB, AC=ZB, CZ||AB, CZ=AB
Ans:E
Answer: E
Question: If p/6 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Options:
A)2 : 3 : 4
B)8 : 12 : 9
C)9 : 6 : 8
D)6 : 4 : 3
E)18 : 6 : 8
Rationale: p/6=r/2, r=0.75s, what is p:r:s?
we get p/r=6/2 and r/s=3/4, so
6/3*3/2 and 2/2*3/4
18/6 and 6/8
E
Answer: E