divelab/Sys2Bench huggingface dataset:
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 230 meters long
Options:
A)6 ½ sec
B)7 ½ sec
C)8 sec
D)8 ½ sec
E)9 sec
Rationale: Explanation:
Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (100 + 230) m = 330 m.
Time taken =330×(3/110) sec = 9 sec
Answer: Option E
Answer: E
Question: How long does a train 100 m long running at the speed of 75 km/hr takes to cross a bridge 135 m length?
Options:
A)11.3 sec
B)12.1 sec
C)13.1 sec
D)16.5 sec
E)12.7 sec
Rationale: Speed = 75 * 5/18
= 20.8 m/sec
Total distance covered
= 100 + 135 = 235 m.
Required time = 235/20.8 '
= 11.3 sec.
Answer:A
Answer: A
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing?
Options:
A)191
B)355
C)737
D)840
E)1,560
Rationale: Let weight of side of beef before processing = x
(65/100)*x = 546
=> x = (546 * 100)/65 = 840
Answer D
Answer: D
Question: Let p be a prime number. If N = 7P, how many divisors does N have?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Two. N = 7*p, and both 7 and p are prime. So the answer is B.
Answer: B
Question: Suraj has a certain average of runs for 8 innings. In the 9th innings he scores 90 runs thereby increasing his average by 6 runs. What is his average after the 9th innings?
Options:
A)42
B)64
C)36
D)72
E)27
Rationale: To improve his average by 6 runs per innings he has to contribute 8 x 6 = 48 runs for the previous 8 innings.
Thus, the average after the 9th innings
= 90 - 48 = 42.
ANSWER:A
Answer: A
Question: If the shirt is selling for $150 and C.P is 30% of S.P. Then what is the profit percent
Options:
A)130%
B)150%
C)160%
D)170%
E)180%
Rationale: Explanation:
Let the S.P = 150
then C.P. = (40/100)*150 = 60
Profit = 90
Profit% = (90/60) * 100 = 150%. Answer: B
Answer: B
Question: The radius of a cylindrical vessel is 7cm and height is 4cm. Find the whole surface of the cylinder?
Options:
A)484
B)771
C)440
D)767
E)1981
Rationale: r = 7 h = 4
2πr(h + r) = 2 * 22/7 * 7(11) = 484
Answer:A
Answer: A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Options:
A)6 days
B)7 days
C)8 days
D)9 days
E)11 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days.
C
Answer: C
Question: A school’s annual budget for the purchase of student computers increased by 70% this year over last year. If the price of student computers increased by 30% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Options:
A)30%
B)30.77%
C)36%
D)37%
E)38%
Rationale: Pick numbers.
Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1 = 100;
This year: budget = $170, price = $1.3 --> the number of computers purchased = 170/1.3 = ~130.77
Increase in the number of computers purchased = 30.77%.
Answer: B.
Answer: B
Question: If 292,102 football shoes need to be placed in boxes and each box can contain at most 13 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:
Options:
A)1football shoes
B)6 football shoes
C)4 football shoes
D)7 football shoes
E)9 football shoes
Rationale: The number of football shoes that can be placed in boxes of 13 football shoes is the first number that is divisible by 13 that occurs before 292,102.
In order to divide the sum in 13 parts, the amount must be divisible by 13
Divisibility rule of 13: The sum of the digits must be divisible by 13
Add four times the last digit to the remaining leading truncated number.
292,102->29210+8=29218->2921+32=2953->295+12=307->30+28=58
Hence, we need to remove 6 to this number for it to be divisible by 13
Correct Option: B
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Options:
A)100
B)120
C)130
D)150
E)160
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.
Answer: Option D
Answer: D
Question: How many different sections of 4 books can be made from 10 different books if two books are always selected.
Options:
A)48
B)18
C)38
D)28
E)35
Rationale: If two particular books are always selected. This means two books are selected out of the remaining 8 books. Required number of ways =8C2 =8!/2!6! =28. Answer : D
Answer: D
Question: 75 boys can complete a work in 36 days.how many men need to complete twice the work in 20 days
Options:
A)160
B)170
C)270
D)190
E)200
Rationale: one man can complete the work in 36*75=2700 days = one time work
to Complete the work twice it will be completed in
let M be the no. of worker assign for this therefore the eqn becomes
M*20=2*2700
M=270 workers
ANSWER:C
Answer: C
Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 7 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Options:
A)1
B)4
C)9
D)13
E)28
Rationale: Solving through algebra route:
3B + 4F = x amount
If we multiply this equation with 7 we get:
21B + 28F =7X
Therefore, we got 21 ounces of butter and 7X amount of quantity when we use 28 ounces of floor.
Ans:E
Answer: E
Question: In a 120-mile trip, the first 40 miles were completed at 60 mph. If the average speed for the whole trip was 50 mph, what was the average speed in the last 80 miles?
Options:
A)585/13 mph
B)590/13 mph
C)595/13 mph
D)600/13 mph
E)605/13 mph
Rationale: The time to complete the first 40 miles was (40 miles / 60 mph) = (2/3) hours.
The time to complete the whole trip was (120 miles / 50 mph) = (12/5) hours.
The time to complete the last 80 miles was (12/5) - (2/3) = (26/15) hours.
The average speed in the last 80 miles was (80 miles / (26/15) hours) = 600/13 mph.
The answer is D.
Answer: D
Question: If set A={3,3,3,....,n times} , set B={3,3,3,3....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
Options:
A)a) k(n+m+mn)+ k
B)b) (1+n+m+mn)(k+1)
C)c) k^2(mn+n/m)
D)d) kmn(k+m+n)
E)e) None of the above.
Rationale: a) how many 2's are included?
b) how many 3's are included?
and
c) how many 11's are included?
For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We simply multiply these three numbers.
NOTICE that one set, the set that includes no 2's, no 3's, and no 11's, is included. This is known in mathematics as thenull set, sometimes called the empty set, a set with no members. Technically, this is a subset of every possible set, but that's a technical detail of set theory that goes well beyond what the GMAT would expect students to know. Even the the calculation is not that difficult, some of the technical aspects of this question are not in line with the GMAT's expectations.
The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together:
(mn + m + n + 1)(k + 1).
Mike
D
Answer: D
Question: If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number.
Options:
A)1 only.
B)2 only.
C)3 only.
D)2 and 3 only.
E)1, 2 and 3.
Rationale: Answer is D : 2 and 3 only
(1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true
(2) A - B is also a Even number. : True
(3) A^B is also a prime number. : Beats the property of primes, so false
Ans : C
Answer: C
Question: There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 2424 plants. How many birches and roses were planted?
Options:
A)6
B)7
C)8
D)2
E)9
Rationale: Let xx be the number of roses. Then the number of birches is 24−x24−x, and the number of boys is 3×(24−x)3×(24−x). If each girl planted 3 roses, there are x3x3 girls in the class.
We know that there are 24 students in the class. Therefore x3+3(24−x)=24x3+3(24−x)=24
x+9(24−x)=3⋅24x+9(24−x)=3⋅24
x+216−9x=72x+216−9x=72
216−72=8x216−72=8x
1448=x1448=x
x=18x=18
So, students planted 18 roses and 24 - x = 24 - 18 = 6 birches.
Answer:A
Answer: A
Question: A train ride from Two P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?
Options:
A)$1.50
B)$2.50
C)$4.10
D)$4.70
E)$8.20
Rationale: Let x be the cost of a bus ride.
x + (x+685) = 985
2x = 300
x = $1.50
The answer is A.
Answer: A
Question: A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 2.5 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 39 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Options:
A)5
B)12
C)19
D)36
E)50
Rationale: A+P+G= 39*3
A=3G
P=2.5G
3G+2.5G+G= 39*3
G=39*3/6.5= 18
A= 6*3=54
Difference = 36
'D' is the answer
Answer: D
Question: A businessman earns $24800 in December, thus decreasing his average annual (January to December) earnings by $1500. His average annual earnings would be
Source: CMAT Preparation
Options:
A)$29000
B)$33500
C)$40200
D)$41300
E)$42300
Rationale: (x - 24,800)/11 - x/12 = 1,500
x = 495,600
x/12 = 41,300
Answer: D.
Answer: D
Question: The average of six numbers is 3.9. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Options:
A)4.7
B)4.45
C)4.2
D)4.1
E)4.9
Rationale: Explanation:
Sum of the remaining two numbers = (3.9 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.40 - (6.8 + 7.7) = 23.40 - 14.5 = 8.90.
Required average = (8.9 / 2) = 4.45.
Answer: B) 4.45
Answer: B
Question: A train of length 250 m runs at a speed of 70 km/hr. What will be the time taken to cross any stationary object standing at the railway station?
Options:
A)20 sec
B)17.23 sec
C)12.86 sec
D)9.5 sec
E)8.5 sec
Rationale: EXPLANATION:
Length of train = 250 m, speed of train = 70 km/hr
Length of train is always considered as distance, and hence here distance = 250 m
1) First convert speed of km/hr into m/s
Speed of train = 70 x	5	= 19.44 m/s
18
2) We know that,
Speed =	Distance /Time
Time taken to cross stationary object =	250 / 19.44
Time taken to cross stationary object= 12.86 sec
ANSWER IS C
Answer: C
Question: if someone is ‘confounded’ means – he is puzzled, confused, bewildered stunned and ‘baffled’. Ask doubt using Question Id: 6320
Options:
A)21
B)87
C)278
D)277
E)261
Rationale: Answer:C
Answer: C
Question: In a certain government school, 40% of students are below 10 years of age. The number of students above 10 years of age is 5/6 th of the number of students of 10 years age which is 36. What is the total number of students in the school ?
Options:
A)100
B)72
C)110
D)135
E)145
Rationale: Explanation :
Solution: let the number of students be x. then, number of students of or above 10 years = (100-40)% of x = 60% of x.
.'. 60% of x = 36 +5/6 *36
=>60/100 * x = 66
=>x = 110
Answer : C
Answer: C
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 5.5 cm is?
Options:
A)13.78
B)13.67
C)13.75
D)13.98
E)13.28
Rationale: (5 * 5.5)/2
= 13.75
Answer:C
Answer: C
Question: What is the smallest no. that should be added to 41381 to make it exactly divisible by 9?
Options:
A)1
B)3
C)5
D)6
E)9
Rationale: If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 4+1+3+8+1=17, the next multiple of 9 is 18.
1 must be added to 41381 to make it divisible by 9
A
Answer: A
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 63 unique alphanumeric case sensitive characters.
Options:
A)63^4
B)62^5
C)62(62^4)
D)63(62^4)
E)64(63^4)
Rationale: Total number of passwords = number of 4 character password +number of 5 character password
= 63^4 + 63^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=63^4(1+ 63)
=63^4 * 64
Answer E
Answer: E
Question: A number a is squared and then multiplied by negative 6. The result of this operation is equal to three times the sum of FOURTH times a and two. What is one possible value of a ?
Options:
A)2
B)3
C)4
D)1
E)5
Rationale: -6*a^2=3(4a+2)
a= -1 or -1
a=-1=B
ANSWER:D
Answer: D
Question: If a is an integer and b = 3a + 2, which of the following CANNOT be a divisor of b?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form:
n = 3*k, where k is an integer
And if a number is a multiple of 6, it will be in a form :
m = 6*l, where l is an integer
so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer.
In other words, the prime factorization of m must have 3 as a factor, if it's a multiple of 6, but the expression can't have that (as explained by Bunuel), so it can't be a multiple of 6 either.
Answer is A
Answer: A
Question: Bill has d animals, 32 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?
Options:
A)6
B)12
C)18
D)24
E)48
Rationale: Total d animals, suppose each has price of x - total price = dx
now 32 were sold at profit of 10%, making equation - - 32*1.1x
now d-32 were sold at loss of 20%, making eqn --- (d-32)*0.8x
Now he made no profit or loss so,
dx = 32*1.1x + (d-32)*0.8x
solving for d, we get d=48
Ans E
Answer: E
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
Options:
A)27
B)36
C)42
D)64
E)147
Rationale: 112 ounces of a substance has a volume of 48 cubic inches
63 ounces of a substance has a volume of (48/112)*63 = 27 cubic inches
Answer A
Alternatively , we can use estimation
112 ounces of a substance has a volume of 48 cubic inches
56 ounces of a substance has a volume of 24 cubic inches
Therefore , 63 will have a volume a little more than 24 ,that is 27
ANSWER:A
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Options:
A)1500
B)1992
C)9921
D)2798
E)2789
Rationale: P = 15(100/10)2
=> P = 1500
Answer: A
Answer: A
Question: A train which has 600 m long, is running 60 kmph. In what time will it cross a person moving at 6 kmph in same direction ?
Options:
A)42 sec
B)44 sec
C)46 sec
D)40 sec
E)50 sec
Rationale: Time taken to cross a moving person = length of train/ relative speed
Time taken = 600/((60-6) (5/18) = 600/ 54*(5/18) = 600/15= 40 sec
Answer: D
Answer: D
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Options:
A)7
B)10
C)12
D)13
E)20
Rationale: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
12-2=10
Option B
Answer: B
Question: Mohit sold an article for $21000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Options:
A)16000
B)25000
C)15000
D)18000
E)17500
Rationale: Let the CP be $x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 21000 - 10/100(21000) = 21000 - 2100 = $18900
=> 1.08x = 18900
=> x = 17500
E
Answer: E
Question: If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Options:
A)20%
B)25%
C)18%
D)50%
E)none of these
Rationale: Here, l = 7 and m = 14
Therefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number
ANSWER:D
Answer: D
Question: At a local supermarket, a box of cereal usually costs 10 dollars. This week, the supermarket sells the box of cereal for 2 dollars. How much money will you save if you buy this cereal at this supermarket?
Options:
A)5 dollars
B)3 dollars
C)4 dollars
D)2 dollars
E)8 dollar
Rationale: Solution:
In this situation, there is a decrease in the price.
Saving = 10 - 2 = 8 dollars
Option E
Answer: E
Question: A milk seller has certain quantity of milk to sell. In what ratio, should he mix water to gain 5% by selling the mixture at the cost price ?
Options:
A)1:10
B)1:5
C)1:20
D)1:15
E)None of these
Rationale: Let Cost price of 100 g milk was Rs. 100.
x +5% of x = 100
x + 0.05x = 100
1.05x = 100
x = 100/1.05 = 95.23
Water = 100 - 95.23 = 4.76
Ratio of water and Milk = 4.76 /95.23 = 1/20 = 1 : 20.
ANSWER : C
Answer: C
Question: Find the odd man out. 15, 20, 25, 32, 30, 45
Options:
A)15
B)20
C)30
D)32
E)25
Rationale: All numbers except 32 are multiples of 5
Answer is D
Answer: D
Question: In a box of 8 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Options:
A)2/10
B)3/11
C)4/13
D)5/14
E)6/17
Rationale: P(neither pen is defective) = 5/8*4/7 = 5/14
The answer is D.
Answer: D
Question: A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
Options:
A)1/5
B)2/5
C)3/5
D)4/5
E)6/5
Rationale: A number divisible by 4 formed using the digits 1, 2, 3, 4 and 5 has to have the last two digits 12 or 24 or 32 or 52.
In each of these cases, the five digits number can be formed using the remaining 3 digits in 3! = 6 ways.
A number divisible by 4 can be formed in 6 x 4 = 24 ways.
Total number that can be formed using the digits 1, 2, 3, 4 and 5 without repetition = 5! = 120.
Hence, the required probability would be 24/120 = 1/5.
ANSWER:A
Answer: A
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 65% of Bima's weight. Dravid weighs 40% of Leela's weight. Leela weighs 35% of Dhoni's weight. Who among these 5 persons weighs the least?
Options:
A)Dhoni
B)Bima
C)Nameetha
D)Leela
E)Dravid
Rationale: if
Bima weight = x
we get
Nameetha's weight = 0.65x
Dhoni's weight = 1.3x
Leela's weight = 0.455x
and Dravid's weight = 0.182x
Answer : E
Answer: E
Question: In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at W mile/month .
One month later another ship of the greatest pirate ever CHENG I SAO was 5000 miles due south of the same Egyptian port and heading due north at Y miles/month. Six months later after the leaving of Sinbad’s ship from Egyptian port, how far apart were the ships? [Ivory coast is in the west of Egypt]
Options:
A){ (6W)^2 + (5000-5y)^2 }^1/2
B){ (36x)^2 + (5000-7y)^2 }^1/2
C){ (16x)^2 + (5000-7y)^2 }^1/2
D){ (7x)^2 + (5200-7y)^2 }^1/2
E){ (2x)^2 + (300-7y)^2 }^1/2
Rationale: The chinese ship sailed for 5 months i.e. 5Y miles @Y miles/month, therefore distance from Egyptian port is 5000-5Y. Since A is the only option with this value ...therefore A is the answer
Answer: A
Question: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Options:
A)720
B)600
C)660
D)6000
E)NONE OF THESE
Rationale: Explanation:
Let the number of bricks be 'N'
10 x 4/100 x 6 x 90/100 = 25/100 x 15/100 x 8/100 x N
10 x 4 x 6 x 90 = 15 x 2 x N => N = 720.
ANSWER IS A
Answer: A
Question: A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?
Options:
A)8 km/hr
B)10 km/hr
C)150 km/hr
D)16 km/hr
E)None of these
Rationale: Distance covered by the car = 100 × 5 = 500 km
\ Speed = 500⁄2 = 250 km/hr
\ Speed gain = 250 – 100 = 150 km/hr
Answer C
Answer: C
Question: Solve below question 2x + 1 = -13
Options:
A)-8
B)-9
C)9
D)8
E)-7
Rationale: 2x + 1 = -13
x = -7
E
Answer: E
Question: Adding 25% of x to x is equivalent to multiplying x by which of the following?
Options:
A)12.5
B)1.05
C)1.15
D)1.2
E)1.25
Rationale: 125x/100= 1.25*x
ANSWER:E
Answer: E
Question: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ?
Options:
A)84 km/hr
B)74 km/hr
C)34 km/hr
D)64 km/hr
E)14 km/hr
Rationale: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.
Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.
Also, 6x = 72 => x = 12 km/hr
Therefore, the average speed of the car and train together is = = 7x = 7 x 12 = 84 km/hr.
Answer: A
Answer: A
Question: A certain protective additive increases from 30 days to 45 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Options:
A)25%
B)33 1/3%
C)50%
D)66 2/3%
E)75%
Rationale: General formula for percent increase or decrease, (percent change):
percent=Change/Original∗100
So, the time between maintenance checks increased by 45−30/30∗100=50
Answer: C.
Answer: C
Question: In digging a hole 10 m * 10 m * 100 m the volumes of the sand extracted will be?
Options:
A)100 cu.m
B)1000 cu.m
C)10000 cu.m
D)2000 cu.m
E)4000 cu.m
Rationale: 10 * 10 * 100 = 10000
ANSWER:C
Answer: C
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 14 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Since (ii) holds for every real number x, it will remain valid if we replace x with
-x. Therefore, f(1-x) = 3+f(-x). Now, from (i), 14 = f(x)+f(1-x) = f(x)+3+f(-x)
so that f(x) + f(-x) = 14-3 = 11. (Observe that f(x) = 3x + 4 satisfies the conditions
in the problem.)
correct answer D
Answer: D
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 6 minutes more to walk to work than to ride his bike to work, then x equals?
Options:
A)4
B)7
C)9
D)15
E)20
Rationale: Please follow posting guidelines, link is in my signatures.
As for your question, x/60 = blocks/time/block = block^2/time . This is not what you want. You are given x blocks and 60 seconds PER BLOCK. Thus you need to put it as 60*x to give you units of seconds as you are equating this to 360 (which is TIME in seconds.).
Thus the correct equation is : 60*x-20*x=360 ----> 40x=360--> x = 9.
option C
Answer: C
Question: What is greatest positive integer n such that 2^n is a factor of 12^13?
Options:
A)a)10
B)b)12
C)c)16
D)d)26
E)e)60
Rationale: The given number is 12^13
=(2*2*3)^13
=(2^26)*(3^13)
So the greatest possible value for n such that 2^n can be factor of given number is 26.
Answer D
Answer: D
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did C get in a profit of Rs.2490 ?
Options:
A)s. 332
B)s. 498
C)s. 822
D)s. 812
E)s. 810
Rationale: Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60
A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13
C's share in the profit of Rs. 2490 = 12 (2490/60) = Rs. 498.
Answer: B
Answer: B