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mathematics | A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number. | [
"81",
"90",
"100",
"61",
"73"
]
| Let the ten's digit be x. Then, unit's digit = (9 - x).
Number = l0x + (9 - x) = 9x + 9.
Number obtained by reversing the digits = 10 (9 - x) + x = 90 - 9x.
therefore, (9x + 9) - 63 = 90 - 9x => 18x = 144 => x = 8.
So, ten's digit = 8 and unit's digit = 1.
Hence, the required number is 81.
Answer A)81.
The answer is: A | A |
mathematics | A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? | [
"1000",
"2287",
"2677",
"2887",
"2688"
]
| 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
The answer is: A | A |
mathematics | In a soccer bet,we play 4 teams.first team odd 1.25,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win? | [
"217.78",
"225.5",
"235.01",
"266.74",
"669.0"
]
| in the case we won the bet,we have:
1.25* 5.23* 3.25* 2.0*5.00=219.50
we will win 217.78
so correct answer is A
The answer is: A | A |
mathematics | If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 36 more than n. What is y in terms of x ? | [
"36 - x",
"10 - x",
"x + 4",
"x - 4",
"x + 26"
]
| Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 36 more than 10x+y
10x+y+36=10y+x
10x-x+36=10y-y
9x+36=9y
x+4=y
OR
y=x+4
Ans:C
The answer is: C | C |
mathematics | What is the sum of all the prime factors of 220 and 330? | [
"15",
"21",
"35",
"41",
"64"
]
| Prime factorization of both the numbers is as follows
220 = 2 * 2 * 5 * 11
sum of the prime factors of 220 = 20
330 = 2 *3 * 5 * 11
sum of prime factors of 330 = 21
addition of both = 20 + 21 = 41
ANSWER D
The answer is: D | D |
mathematics | Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie? | [
"8C5",
"8*7*6*5*4",
"5!",
"8!/5!",
"8*5"
]
| Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C58∗5!
Answer: B.
The answer is: B | B |
mathematics | A man walking at a rate of 15km/hr crosses a bridge in 35 minutes. The length of the bridge is? | [
"1250m",
"1750m",
"950m",
"1000m",
"1300m"
]
| Speed = 15*5/18 = 15/18 m/sec
Distance covered in 35 minutes = 15/18 *35 *60 = 1750 m
Answer is B
The answer is: B | B |
mathematics | What should be the least number to be added to the 51234 number to make it divisible by 9? | [
"12",
"17",
"18",
"77",
"26"
]
| Explanation:
The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.
Sum of digits = 15.
Nearest multiple of 9 greater than sum of digits = 18.
Hence 3 has to be added.
Answer: C
The answer is: C | C |
mathematics | If a = 105 and a^3= 21 * 25 * 35 * b, what is the value of b? | [
"35",
"42",
"45",
"49",
"63"
]
| First step will be to break down all the numbers into their prime factors.
105 = 3 * 5 * 7
21 = 7 * 3
25 = 5 * 5
35 = 7 * 5
so, (105)^3 = 3 * 7 * 5 * 5 * 7 *5 *b
Therefore (3 * 5 * 7) ^ 3 = 3 * 5^3 * 7^2 *b
Therefore, b = 3^3 * 5^3 * 7 ^3/3 * 5 ^3 * 7^2
b = 3^2*7 = 9*7=63
Correct answer E.
The answer is: E | E |
mathematics | What is 15 percent of 54? | [
"7.3",
"8.1",
"9.5",
"10.2",
"11.6"
]
| (15/100) * 54 = 8.1
The answer is B.
The answer is: B | B |
mathematics | The area of a rectangular plot is 360 square metres. If the length is 25% less than the breadth, what is the breadth of the plot? | [
"32 m",
"12 m",
"20 m",
"22 m",
"25 m"
]
| length =75% of breadth.
length×breadth =360 m2
⇒ 75% of breadth×breadth =360 m2
⇒ 75/100× breadth×breadth =360 m2
⇒ breadth×breadth =480 m2
⇒ breadth =22 m
ANSWER:D
The answer is: D | D |
mathematics | There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? | [
"Rs. 2160",
"Rs. 3120",
"Rs. 3972",
"Rs. 6240",
"Rs. 6000"
]
| Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000 = Rs. 3972
ANSWER IS C
The answer is: C | C |
mathematics | If m and n are positive integers of K such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? | [
"2m/n + 1",
"2n/m + 1",
"2n/(m+1)",
"2m/n",
"2n/m"
]
| Lets say N=10, M=5
2N=20. so the answer should be 4 (20/5)
lets try to plug in the answers:
A-not an integer
B-not an integer
C-not an integer
D-1 (not the answer)
E-4 - the answer. (the only one).
I would choose E.
Method 2
N=M*A (A is an integer)
So - A=N/M
therefore in 2N A will be 2N/M
Again - Answer is E.
The answer is: E | E |
mathematics | Seven years ago the average age of a family of 2 members was 25 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child? | [
"7 years",
"5 years",
"3 years",
"8 years",
"10 years"
]
| Explanation:
Average of the family of two numbers
7 years ago = 25
= (25+ 7) * 2 = 64 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 64 = 5 years
Answer: Option B
The answer is: B | B |
mathematics | If an object travels 400 feet in 4 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet) | [
"68",
"54",
"87",
"96",
"15"
]
| 1 mile = 5280 feet
=> 1 feet = 1/5280 miles
If the object travels 400 feet in 4 sec
then it travels 400/4 * 60 * 60 feet in 1 hour (1 hr = 60 min * 60 sec)
= 3600 * 100 feet in 1 hour
= 360000 feet in 1 hr
= 360000/5280 miles in 1 hour
= 36000/528 miles/hr ~ 68 miles/hr
Answer - A
The answer is: A | A |
mathematics | Brand A coffee costs twice as much as brand B coffee. If a certain blend is 3/4 brand A and 1/4 brand B. what fraction of the cost of the blend is Brand A? | [
"a. 1/3",
"b. 2/5",
"3. 1/2",
"4. 2/3",
"5. 6/7"
]
| Assume Cost of A= Ca = 200 , Cost of B = Cb=100
The blend contains 0.75 A and 0.25 B ---> Cost of the blend = Cbl = 0.75*200+0.25*100= 175
Thus fraction of A in the blend = 0.75*200/175 = 6/7.
Answer : E
The answer is: E | E |
mathematics | The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle? | [
"432 sq m",
"363 sq m",
"452 sq m",
"428 sq m",
"528 sq m"
]
| 2(3x + x) = 88
l = 33 b = 11
lb = 33 * 11 = 363
ANSWER:B
The answer is: B | B |
mathematics | Riya and Priya set on a journey. Riya moves eastward at a speed of 20kmph and Priya moves westward at a speed of 30 kmph.How far will be priya from Riya after 30 minutes | [
"25kms",
"10kms",
"50kms",
"30kms",
"40kms"
]
| total eastward distance= 20kmph*1/2hr=10 km
total westward distance= 30kmph*1/2hr=15 km
total distn betn them= 10+15=25km
ans 25km
ANSWER:A
The answer is: A | A |
mathematics | Two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction? | [
"12",
"14",
"10.9",
"20",
"18"
]
| Sol.
Speed of the first train = [120 / 10] m/sec = 12 m/sec.
Speed of the second train = [120 / 12] m/sec = 10 m/sec.
Relative speed = (12 + 10) = m/sec = 22 m/sec.
∴ Required time = (120 + 120) / 22 secc = 10.9 sec.
Answer C
The answer is: C | C |
mathematics | A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age? | [
"176",
"289",
"887",
"278",
"179"
]
| 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800
Answer:C
The answer is: C | C |
mathematics | A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 10 hrs and a machine of type S does the same job in 5 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used? | [
"A)3",
"B)4",
"C)6",
"D)9",
"E)12"
]
| Rate of machine R =1/10
Rate of machine S =1/5
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/10 +x/5 =1/2
3x/10=1/2
x=30/5=6
So no of machine R is 6
Answer C
The answer is: C | C |
mathematics | Ramesh, Kiran and Ram started a business with capitals of Rs. 2000, Rs. 8000 and Rs. 6000 respectively. At the end of the year, the profit share of Kiran is Rs. 400. The difference between the profit shares of Ramesh and Ram is? | [
"694",
"369",
"200",
"2356",
"1547"
]
| Ratio of investments of Ramesh, Kiran and Ram is 2000 : 8000 : 6000 = 1 : 4 : 3
And also given that, profit share of Kiran is Rs. 400
=> 4 parts out of 8 parts is Rs. 400
Now, required difference is 3 - 1 = 2 parts
Required difference = 2/4 (400) = Rs. 200.Answer: C
The answer is: C | C |
mathematics | The average of first ten prime numbers which are odd is? | [
"15.9",
"15.7",
"15.1",
"15.8",
"15.3"
]
| Sum of first 10 prime no. which are odd = 158
Average
= 158/10
= 15.8
Answer:D
The answer is: D | D |
mathematics | The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest. | [
"3052.89",
"3052.86",
"3092.8",
"3052.8",
"3052.81"
]
| R = 100 I / PT
=> R = (100 * 7200)/ (12000 * 5) = 12%
CI = P{ [1 + R /100]n - 1}
= 12000 { [ 1 + 12 / 100]2 - 1} = Rs.3052.80.Answer: D
The answer is: D | D |
mathematics | A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,000 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week? | [
"25%",
"30%",
"35%",
"40%",
"45%"
]
| B for me.
Let managers comminsion rate be M.
m*5000+ 2*0.05*5000=2,000
5000*m=1500
m=30/100=30%
The answer is: B | B |
mathematics | A 260 metres long train runs at a speed of 55 Kmph.How much time will it take to cross a Platform 290 meters long? | [
"36 seconds",
"18 seconds",
"60 seconds",
"20 seconds",
"None of these"
]
| total distance =260m+290m=550m
speed=55*5/18=275/18
therefore time taken=(550/275)*18=36 sec
ANSWER:A
The answer is: A | A |
mathematics | There are 18 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station? | [
"800",
"380",
"360",
"478",
"566"
]
| The total number of stations= 20
From 20 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 20P2 ways.
20P2= 20*19= 380
ANSWER:B
The answer is: B | B |
mathematics | If the simple interest on $1500 increase by $20,when the time increase by 2 years. Find the rate percent per annum. | [
"0.6%",
"0.5%",
"0.1%",
"0.2%",
"0.7%"
]
| Applying the above formula, we have
20=1500*r*2/100
r=20*100/1500*2=0.7%.
Answer is E
The answer is: E | E |
mathematics | Ratio of two numbers x and y is 1:2. If x is increased by 20% and y is increased by 4 then the new ratio becomes 1:5. What is the ratio 2y:x | [
"1:3",
"3:1",
"2:3",
"4:1",
"1:4"
]
| Let:
x = 1n
y = 2n
1.2n/(2n+4) = 1/5
6n = 2n+4
n = 1
So, x =1; y=2
2y/x = 4/1 = 4:1
Answer = D
The answer is: D | D |
mathematics | The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr the distance travelled downstream in 12 minutes is : | [
"2 km",
"2.6 km",
"3.6 km",
"4 km",
"None"
]
| Sol.
Speed downstream = (15 + 3) kmph = 18 kmph.
Distance travelled = [18 * 12/60] km = 3.6 km.
Answer C
The answer is: C | C |
mathematics | In Solution P, the proportion of water to alcohol is 5:2. In Solution Q, the proportion of water to alcohol is 3:2. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts? | [
"25%",
"28%",
"31%",
"34%",
"37%"
]
| Let V be the total volume of the new solution.
The amount of alcohol added from Solution P is (2/7)*V/2=(1/7)*V
The amount of alcohol added from Solution Q is (2/5)*V/2=(1/5)*V
The total amount of alcohol in the new solution is (1/7+1/5)*V=(12/35)*V
The alcohol concentration is 12/35=34% (approximately)
The answer is D.
The answer is: D | D |
mathematics | Solve x2 – 3x – 4 = 0. | [
"1,4",
"-1,4",
"2,3",
"2,4",
"2,6"
]
| This one factors easily:
x2 – 3x – 4 = 0
(x + 1)(x – 4) = 0
x + 1 = 0 or x – 4 = 0
x = –1 or x = 4
The solution is x = –1, 4
ANSWER B
The answer is: B | B |
mathematics | Of the three-digit integers greater than 200, how many have two digits that are equal to each other and the remaining digit different from the other two? | [
"90",
"82",
"80",
"45",
"36"
]
| Let the three digit number be represented as X Y Z.
There are 3 cases:
Case I.[ X=Y ]Z is not equal to XY :XXZorYYZ
X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways
After X is chosen, Y can be chosen in 1 way
After XY are chosen, Z can be chosen in 9 ways
Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(1)
[example numbers: 774,779,882,993 etc]
Case II.[ X=Z ]Y is not equal to XZ:XYXorZYZ
X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways
After X is chosen, Z can be chosen in 1 way
After XZ are chosen, Z can be chosen in 9 ways
Thus, possible No of digits = (3 ways) * (9 ways) * (1 way) = 27 ....(2)
[example numbers: 747,797,828,939 etc]
Case III.[ Y =Z ]X is not equal to YZ :XYYorXZZ
X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways
After X is chosen, Y can be chosen in 9 ways
After Y is chosen, Z can have 1 way
Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(3)
[example numbers: 744,799,822,933 etc]
Therefore, total numbers of possible digits [sum of Case (1), (2)(3) above] = 27 + 27 + 27 - 1 = 80
One digit is subtracted from total number of possible digits to eliminate one possibility of XYZ = 700 to satisfy the condition that digit > 200.
Answer:(E)
The answer is: E | E |
mathematics | Average age of students of an adult school is 42 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students. | [
"1200",
"120",
"360",
"200",
"None of these"
]
| Explanation :
Let the original no. of students be x.
According to situation, 42x + 120*32 = (x + 120)36 ⇒ x = 80
So, Required no. of students after joining the new students
= x + 120 = 200.
Answer : D
The answer is: D | D |
mathematics | An engineer undertakes a project to build a road 15 km long in 300 days and employs 55 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time. | [
"a. 43",
"b. 45",
"c. 55",
"d. 68",
"e. 83"
]
| 55 workers working already
Let x be the total men required to finish the task in next 200 days
2.5 km done hence remaining is 12.5 km
Also, work has to be completed in next 200 days (300 - 100 = 200)
We know that, proportion of men to distance is direct proportion
and, proportion of men to days is inverse proportion
Hence, X = (55 * 12.5 * 100) / (2.5 * 200)
thus, X = 137.5 that is approximately 138
Thus, more men needed to finish the task = 138-55=83
hence Answer is E
The answer is: E | E |
mathematics | How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number? | [
"1875",
"2000",
"2375",
"2500",
"3875"
]
| the five-digit number: abcde
a have 4 choice of even numbers: 2, 4, 6, 8
b have 4 choice of even numbers: 0, 2, 6, 8 because 4 cannot appear more than once
c, d and e each have 5 choice from 1, 3, 5, 7, 9
So total: 4*4*5*5*5=2000 ANS:B
The answer is: B | B |
mathematics | The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 20%? | [
"37.5%",
"48%",
"50.5%",
"52%",
"25%"
]
| Explanation:
Let marked price = Rs. 100.
Then, C.P. = RS. 64, S.P. = Rs. 80
Gain % = 16/64 * 100 =25%.
Answer: Option E
The answer is: E | E |
mathematics | How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr? | [
"60 sec",
"82 sec",
"95 sec",
"100 sec",
"120 sec"
]
| Hint:
Time = Distance / Speed
We see that the distance is given in metres while the speed is given in km/hr and the answer is asked in seconds.
So, convert km/hr into m/s by multiplying 5 /18 m/s to the given value of speed.
30 km / hr = 30 x 5 /18 = 75 /9 m/sec
i.e. Place these values in the formula:
Time = 500 x 9 / 75= 60 sec
ANSWER IS A
The answer is: A | A |
mathematics | For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 9.8? | [
"12.6.",
"14.4.",
"15.8.",
"16.2.",
"16.4."
]
| [6.5] x [2/3] + [2] x 7.2 + [8.4] - 9.8
= 6*0 + 2*7.2 + 8 - 9.8
= 0 +14.4 -1.8
12.6
Answer A
The answer is: A | A |
mathematics | A man invests in a 16% stock at 128. The interest obtained by him is : | [
"12.9%",
"92.5%",
"12.5%",
"12.6%",
"12.7%"
]
| Explanation:
By investing Rs 128, income derived = Rs. 16
By investing Rs. 100, income derived = = Rs.12.5
Interest obtained = 12.5%
Answer: C) Rs. 12.5%
The answer is: C | C |
mathematics | A car covers a distance of 636 km in 6 ½ hours. Find its speed? | [
"104 kmph",
"176 kmph",
"298 kmph",
"106 kmph",
"268 kmph"
]
| 636/6
= 106 kmph
Answer:D
The answer is: D | D |
mathematics | A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 65% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight? | [
"7/12",
"1/4",
"1/2",
"7/24",
"17/24"
]
| In probability questions the trap answer is just the multiple of the numbers in the question.
i.e. if you multiply 1/3 * 1/4 * 1/2 = 1/24 is trap answer
The other trap answer could be 2/3 * 3/4 * 1/2 = 6/24 is trap answer
So lets say you have30 secsand you want to guess the answer then B, C are ruled out because they can be traps. You best guess is A, D, E. So you have 33% chances of being correct.
E
The answer is: E | E |
mathematics | The letters of the word 'SARITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI' | [
"- 235",
"- 245",
"- 307",
"- 315",
"- 275"
]
| Total Number of Words = 6!/2! = 360 [(number of characters)/(repeating group )!]
After S, we have T and A.
Number of words starting with T = 5!/2! = 60
Number of words starting with U = 5!/2! = 60
So any word starting with S will have rank < 360 - 60(for Us) - 60(for Ts) = 240
Only option A < 240, so Answer is A.
The answer is: A | A |
mathematics | On Monday, Lou drives his vehicle with 25-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second? | [
"Decrease by 14.3%",
"Decrease by 22%",
"Increase by 14.3%",
"Increase by 12.5%",
"Cannot be determined with the given information."
]
| 800 the LCM
On Tuesday 800/32 =25
On Monday 800/25 = 32
Therefore, 25-32/32= -2/9=-22% decrease
Answer is B
The answer is: B | B |
mathematics | The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of? | [
"6:8",
"6:9",
"6:5",
"6:2",
"6:3"
]
| 4:5
3:2
-------
12:15:10
12:10
6:5
Answer:C
The answer is: C | C |
mathematics | If pq = p^5 + q^2 – 2pq, for what value of q is pq equal to p^5 for all values of p? | [
"-2",
"-1",
"0",
"1",
"2"
]
| C
p5 + q2 – 2pq = p5
=> q2 - 2pq = 0
=> q (q - 2p) = 0
=> q = 0 or q = 2p
im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DETAI
C
The answer is: C | C |
mathematics | if xy+z=x(y+z) which of the following must be true? | [
"x=2 or z=0",
"x=1 or z=0",
"x=1 or z=1",
"x=0 or z=0",
"x=0 or z=0"
]
| xy+z=xy+xz
z=xz
xz-z=0
z(x-1)=0
Means;
either z=0
OR
x-1=0 i.e. x=1
Answer B
The answer is: B | B |
mathematics | Maria's grandparents were celebrating their 50th anniversary. Each of the children contributed $100 and the grandchildren each contributed $80. Together, all 15 members the family collected a total of $1,300 dollars for the celebration. How many children did Maria's grandparents have. | [
"3",
"5",
"8",
"9",
"10"
]
| Let x = the number of children. That means the number of grandchildren = 15 - x.
The amount contributed by the children = 100x. The amount contributed by the grandchildren = 80(15 - x).
This means: 100x + 80(15 - x) = 1300
100x + 1200 - 80x = 1300
100x - 80x = 1300 - 1200
20x = 100
x = 5
Answer: B
The answer is: B | B |
mathematics | A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 40 minutes later? | [
"2(10^5)",
"4(10^5)",
"(2^4)(10^5)",
"(10^4)(10^5)",
"(10^5)^4"
]
| Every 10 minutes, the population is double the previous population.
In 40 minutes, the population doubles 4 times.
The population then is 2^4*10^5.
The answer is C.
The answer is: C | C |
mathematics | A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? | [
"188",
"200",
"277",
"266",
"121"
]
| The number of ways to select two men and three women = ⁵C₂ * ⁶C₃
= (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 200
Answer: B
The answer is: B | B |
mathematics | In a game of billiards, A can give B 30 points in 80 and he can give C 40 points in 80. How many points can B give C in a game of 100? | [
"23",
"24",
"25",
"20",
"28"
]
| A scores 80 while B score 50 and C scores 40.
The number of points that C scores when B scores 100 = (100 * 40)/50 = 80.
In a game of 100 points, B gives (100 - 80) = 20 points to C
Answer:D
The answer is: D | D |
mathematics | The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid. | [
"9: 8",
"9: 5",
"9: 1",
"9: 2",
"9: 4"
]
| a1 : a2 = 3 : 1
6 a12 : 6 a22 = 9: 1
Answer:C
The answer is: C | C |
mathematics | If I walk at 3 km/h, I miss the bus by 12 minutes. If I walk at 6 km/h, I reach 10 minutes before the arrival of the bus. How far I walk to reach the bus stand ? | [
"2.19 km",
"2.22 km",
"2.00 km",
"1.19 km",
"1.99 km"
]
| d = product of speed difference of time /difference of speed
d = 3x6/60[12−(−10)/6-3]
[Here, –ve sign indicates before the schedule time]
⇒ d = 2.19 km
Answer A
The answer is: A | A |
mathematics | 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? | [
"50+Z/200",
"50+3Z/100",
"50+Z/40",
"100+Z/50",
"100+3A/100"
]
| 50+Z/40=C
The answer is: C | C |
mathematics | Ajith can do a work in 12 days while Anand can do the same work in 18days. Both of them finish the work together and get $500. What is the share of Ajith? | [
"$150",
"$200",
"$350",
"$250",
"$300"
]
| Ajith's wages: Anand's wages = 1/12 : 1/18 = 18:12 = 3:2
Ajith's share = 500*3/5 = $300
Answer is E
The answer is: E | E |
mathematics | The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? | [
"10 kmph",
"67 kmph",
"22 kmph",
"20 kmph",
"12 kmph"
]
| Speed of the boat in still water
= (40+80)/2
= 60 kmph. Speed of the stream
= (80-40)/2
= 20 kmph.
Answer:D
The answer is: D | D |
mathematics | When m is divided by 9, the remainder is 4. When m is divided by 13, the remainder is 10. If 1 < m < 200, what is the greatest possible value of m? | [
"47",
"65",
"103",
"117",
"166"
]
| Looking at the choices, options BD can be eliminated as they are divisible by 13
Starting from the highest number 164;
166 = 162 + 4 (162 divisible by 9)
166 = 156 + 10 (156 divisible by 13)
it fits the result
Answer = E
The answer is: E | E |
mathematics | The difference between the place values of 9 and 4 in the number 927435 is | [
"899600",
"856200",
"875200",
"896200",
"None"
]
| Sol.
= (Place value of 9) – (place Value of 4)
= (900000 - 400)
= 899600 Answer A
The answer is: A | A |
mathematics | . Star question:
If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=? | [
"125",
"977",
"289",
"1077",
"111"
]
| Let x =1 and y = 1
f(1 + 1) = f(1) + f(1) + 7 x 1 x 1 + 4 ⇒⇒ f(2) = 19
Let x =2 and y = 2
f(2 + 2) = 19 + 19 + 7 x 2 x 2 + 4 ⇒⇒ f(4) = 70
Let x = 1 and y = 4
f( 1 + 4) = 4 + 70 + 28 + 4 = 106
f(2) + f(5) = 125
Answer:A
The answer is: A | A |
mathematics | A Coach is filling out the starting lineup for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions: 1 goalkeeper, 2 on defence, 2 in midfield, and 1 forward. Only 2 of the boys can play goalkeeper, and they cannot play any other positions. The other boys can each play any of the other positions. How many different groupings are possible? | [
"60",
"210",
"2580",
"3360",
"151200"
]
| 2C1 select 1 goalkeeper from 2 boys;
8C2 select 2 defense from 8 boys (as 2 boys can only play goalkeeper 10-2=8);
6C2 select 2 midfield from 6 boys (as 2 boys can only play goalkeeper and 2 we've already selected for defense 10-2-2=6);
4C1 select 1 forward from 4 boys (again as 2 boys can play only goalkeeper, 4 we've already selected for defense and midfield 10-2-4=4)
Total # of selection=2C1*8C2*6C2*4C1=3360
Answer: D.
The answer is: D | D |
mathematics | Apple Infotech has 4 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of two managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Apple Infotech possibly provide guidance for? | [
"16",
"20",
"26",
"54",
"64"
]
| P(at least 1 S D) = P(Total) - P(0 Senior Director)
=9C2 - 5C2
= 26
The answer is: C | C |
mathematics | Set D consists of 19 elements. The average of set D is L. If a new element is added to the set and the average grows by K, what is the value of the new element? | [
"a) L(1 + K / 5)",
"b) L * (K/100) - 20L",
"c) 20L(1+K/100)",
"d) 20(1+K/100)-19L",
"e) L*(K/5)-19"
]
| Let's assume the value of new element to bea. So converting the word problem into equation,
(19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K
But according to the answer options, problem writer wanted to conveyk% percent rise in average value.
If we consider this case than resulting equation will be,
(19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]
==> a= 20L + KL/5 -19L
==> a= L + KL/5 , which is equivalent to option [A]
The answer is: A | A |
mathematics | If c is a positive even integer, and n and m are consecutive integers, then (n - m)^c/(m - n)^c = | [
"-2",
"-1",
"0",
"1",
"2"
]
| c= +ve even integer
Since,n and m are consecutive integers , their difference will be 1
((n-m)^c)/((m-n)^c)= ((n-m)/(m-n))^c = (-1)^c
Since we are raising the difference of n and m to power c , which is even , the answer will be 1 .
Answer D
The answer is: D | D |
mathematics | Find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected? | [
"10/30",
"1/30",
"8/30",
"3/30",
"7/30"
]
| Let X be the event of selecting a prime number.
X = {2, 3, 5, 7, 11, 13, 17, 19, 23,29}
n(X) = 10,
n(S) = 30
Hence, the required probability is 10/30.
ANSWER:C
The answer is: C | C |
mathematics | The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 80, then 1/m + 1/n is equal to | [
"1/35",
"3/35",
"5/37",
"4/63",
"None"
]
| Answer
We have, m x n = 6 x 210 = 1260
∴ 1/m + 1/n = (m + n)/mn = 80/1260 = 4/63
Correct Option: D
The answer is: D | D |
mathematics | The ratio between the speeds of two trains is 7 : 10. If the second train runs 400 kms in 8 hours, then the speed of the first train is | [
"35 km/h",
"60 km/h",
"45 km/h",
"50km/h",
"30 km/h"
]
| A
35 km/h
The answer is: A | A |
mathematics | A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 20 km/hr. What was the average speed for the whole journey? | [
"24 km/h",
"26 km/h",
"28 km/h",
"30 km/h",
"32 km/h"
]
| time 1 = d / 60
time 2 = d / 20
total time = d/60 + d/20 = 4d/60 = d/15
average speed = total distance / total time = 2d / (d/15) = 30 km/h
The answer is D.
The answer is: D | D |
mathematics | The average monthly salary of 20 employees in an organisation is Rs. 1700. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? | [
"3800",
"3890",
"88798",
"2789",
"2891"
]
| Explanation:
Manager's monthly salary Rs. (1800 * 21 - 1700 * 20) = Rs. 3800.
Answer: A) 3800
The answer is: A | A |
mathematics | The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short. | [
"30",
"40",
"50",
"60",
"80"
]
| Let the price of gift pack be 'aa'
Then number of packs bought =a+1=a+1
Hence total cost is a(a+1)a(a+1)
It is given that 380<a(a+1)380<a(a+1)
If a=19a=19, the total cost =19×20=380=19×20=380
Dexter would not have fallen short, If:
a=20a=20, a(a+1)=420a(a+1)=420
So he would have fallen short by Rs 40.
This is the minimum amount by which he may have fallen short.
B)
The answer is: B | B |
mathematics | The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is? | [
"2",
"3",
"4",
"1",
"5"
]
| Amount = (30000 + 4347) = Rs. 34347
Let the time be n years. Then,
30000(1 + 7/100)n = 34347
= (107/100)n = 34347/30000 = (107/100)2
n = 2 years.
ANSWER:A
The answer is: A | A |
mathematics | Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 11? | [
"7",
"5",
"9",
"4",
"1"
]
| You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3, 4, and 5 then no two numbers out of these 6 add up to 10.
Now, the next, 7th number whatever it'll be (6, 7, 8, or 9) will guarantee that two number WILL add up to 11. So, 7 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 11.
Answer: A
The answer is: A | A |
mathematics | A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty? | [
"2",
"3",
"5",
"81",
"6"
]
| :
1 to 2 = 1/4
2 to 3 = 1/4 + 1/5 = 9/20
After 3 AM = 1/4 + 1/5 - 1/2 = -1/20
1/4 + 9/20 = 14/20
1 h ---- 1/20
? ----- 14/20
14 hours ==> 5 PM.Answer: D
The answer is: D | D |
mathematics | If k is a non-negative integer and 21^k is a divisor of 435,961 then 7^k - k^7 = | [
"0",
"1",
"42",
"118",
"242"
]
| 4+3+5+9+6+1 = 28, so this number is not divisible by 3 and thus not divisible by 21.
Therefore, k=0
7^k - k^7 =1-0=1
The answer is B.
The answer is: B | B |
mathematics | A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km/hr) must be : | [
"7 km/hr",
"8 km/hr",
"11 km/hr",
"12 km/hr",
"None of these"
]
| Sol.
Remaing distance = 3 km and
Remaining time = [1/3 * 45] min = 15 min = 1/4 hour.
∴ Required speed = (3*4) km/hr = 12 km/hr.
Answer D
The answer is: D | D |
mathematics | Of 800 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B? | [
"20",
"25",
"30",
"55",
"100"
]
| Say the number of students who read book A is A and the number of students who read book B is B.
Given that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.
Since each student read at least one of the books then {total}={A}+{B}-{Both} --> 800=1.25B+B-0.25B --> B=400, A=1.25B=500 and {Both}=0.25B=100.
The number of students who read only book A is {A}-{Both}=500-100=400;
The number of students who read only book B is {B}-{Both}=400-100=300;
The difference is 400-300 = 100.
Answer: E.
The answer is: E | E |
mathematics | The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid? | [
"120",
"298",
"272",
"827",
"278"
]
| 4*5*6
= 120
Answer:A
The answer is: A | A |
mathematics | In how many ways can 4 boys and 4 girls be arranged a ta table if 4 girls are never together? | [
"3365",
"3256",
"4464",
"5648",
"2456"
]
| Total ways of arranging 8 person in a circle = 7! = 5040 ways
If we consider four women as one, then we have 4+1=5 persons. Arranging these five persons in circle will take = 4! = 24 ways
And four women can arrange themselves in 4! ways
Total ways in which four women sit together in circle = 4!*4! = 576 ways
Total ways in which four women doesn’t sit together in circle = 7! - 4!*4! = 5040 - 576 = 4464 ways
C
The answer is: C | C |
mathematics | 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task. | [
"13/14",
"13/10",
"13/18",
"13/16",
"13/11"
]
| 3 m + 8 w = 6 m + 2 w
3 m = 6 w
1 m = 2 w
Therefore 3 m + 8 w = 14 w
4 m + 5 w =13 w
Answer is 13/14
Answer: A
The answer is: A | A |
mathematics | The sum Q of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Qn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted. | [
"4345",
"4302",
"4258",
"4214",
"4170"
]
| a method to do it under one minutes is to take advantage of the choices given...
lets work on the last digit as we have different units digit in each choice...
total sum of 1 to 100 inclusive will have 0 as the last digit..
this is so because the resultant will be 10*(sum of all single digits)... and since we are multiplying by 10,units digit will be 0...
now for single digit in sum Q of even number from 25 to 63..
25 to 65 will have 4 times sum of single digit even int, 4*(2+4+6+8+0)=4*20..
here too the units digit is 0, but 64 has to be excluded from the total..
two ways from here on..
1) we are subtracting 0 from 0
so units digit should be 0, but we have to add 64..
so last/units digit =4..
2)we subtract 64 from sum of even int..
so units digit=80-4=76..
or units digit =6...
so our answer should have units digit as 10-6=4..
only D has 4 as units digit..
ans D
The answer is: D | D |
mathematics | The average age of a husband, wife and their child 2 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is? | [
"19.2 years",
"28.5 years",
"16.4 years",
"15.6 years",
"14.2 years"
]
| Sum of the present ages of husband, wife and child
= (23 * 2 + 5 * 2) = 57 years.
Required average
= 57/2
= 28.5 years.
Answer:B
The answer is: B | B |
mathematics | If c ≠ 1 and if dc/(d - c) = 1, what is the value of d in terms of c? | [
"(c-1)/c",
"c/(1-c)",
"c/(c + 1)",
"(c + 1)/c",
"(1 - c)/c"
]
| 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:
B
The answer is: B | B |
mathematics | (112 x 54) = ? | [
"67000",
"70000",
"76500",
"77200",
"85200"
]
| Explanation:
(112 x 54) = 112 x(10/2)4=112 X10 4 /2 4 =1120000/16 =70000
ANSWER IS B
The answer is: B | B |
mathematics | A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala? | [
"22",
"33",
"36",
"77",
"88"
]
| Let f = pure fuji , g = pure gala and c - cross pollinated.
c = 10% of x where x is total trees.
c = .1x
also 3x/4 = f and c+f = 204 => .1x + 3/4x = 204 => x = 240
240 - 204 = pure gala = 36.
C
The answer is: C | C |
mathematics | Find the odd man out
2, 5, 11, 23, 48, 95 | [
"5",
"11",
"23",
"48",
"28"
]
| 2*2+1 = 5
5*2+1 = 11
11*2+1 = 23
23*2+1 = 47
47*2+1 = 95
ANSWER:D
The answer is: D | D |
mathematics | Rebecca's annual income is $15 and Jimmy's annual income is $18. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income? | [
"8",
"7",
"9",
"10",
"11"
]
| total rebecca = x+15; total = x+15+18
x+15/x+33 = 55/100 therefore x =7
B
The answer is: B | B |
mathematics | The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 47. Then find the average for the last four matches? | [
"33.25",
"33.5",
"34.25",
"35",
"26.75"
]
| Solution
Required average =(38.9 x 10)-(47 x 6)/ 4
= 107 / 4.
= 26.75
Answer E
The answer is: E | E |
mathematics | On a trip, a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles. If the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip, what was the average speed (in miles per hour) for the return trip? | [
"9",
"10",
"11",
"12",
"13"
]
| The time to go 32 miles was 16/8+16/10=2+1.6=3.6 hours.
The average speed for the return trip was 32 miles/3.2 hours= 10 mph.
The answer is B.
The answer is: B | B |
mathematics | Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 60 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work? | [
"20",
"34",
"38",
"40",
"48"
]
| Nice question +1
We have that X/24 - (60-X)/2R = 40
Also X/R - (60-X)/2R = 120
So we get that 2x - 60 = 80R
3x - 60 = 240R
Get rid of R
120 = 3x
x = 48
Hence answer is E
The answer is: E | E |
mathematics | Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 20 phone numbers by using the readable digits followed by 20 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly? | [
"1/9",
"10/243",
"2/27",
"10/271",
"1/1000000"
]
| If the last three digits have 1 zero (XX0), the total # of numbers possible is 9*9*3 (multiply by 3 since XX0 can be arranged in 3 ways: XX0, X0X, or 0XX).
If the last three digits have 2 zeros (X00), the total # of numbers possible is 9*3 (multiply by 3 since X00 can be arranged in 3 ways: X00, 00X, or X0X).
P = 20/(9*9*3+9*3) = 2/27.
Answer: C.
The answer is: C | C |
mathematics | After 6 games, team B had an average of 70 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500? | [
"85",
"74",
"67",
"33",
"28"
]
| (6*70) + 47 +x >500
420+47+x > 500
467+x >500
=> x>33
Option D
The answer is: D | D |
mathematics | Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest? | [
"70% p.a",
"50% p.a",
"20% p.a",
"10% p.a",
"90% p.a"
]
| Explanation:
Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.
Rate of interest = (100 * 240) / (100 * 1) = 20% p.a
Answer: C
The answer is: C | C |
mathematics | 4 apple and 3 mangoes costs rs.34, 2 mangoes and 5 oranges costs 49, 3 oranges and 6 apples costs 54. What is the price of 1 apple? | [
"151/19",
"151/17",
"151/18",
"151/16",
"153/15"
]
| 4A+3M = 34 -----(1)
2M+5O = 49 -----(2)
3O+6A = 54 -----(3)
from (2) and (3)
30A-6M = 123 -----(4)
from (1) and (4)
A = 191/38
substituting in (1) and (3)
M= 88/19
O = 151/19
ANSWER:A
The answer is: A | A |
mathematics | In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 40% of the total? | [
"550",
"500",
"600",
"650",
"700"
]
| Total number of students studying both are 100 + 300 - 200 = 200 (Subtracting the 200 since they were included in the both the other numbers already).
So 40% of total is 200, so 100% is 500
Answer is B
The answer is: B | B |
mathematics | If n=5p where p is a prime number greater than 1, how many different positive even divisors does n have, including n? | [
"1",
"2",
"32",
"4",
"3"
]
| N = 5P and that P is a prime number greater than 1. Let's TEST P = 2; so N = 10
The question now asks how many DIFFERENT positive EVEN divisors does 10 have, including 10?
10:
1,10
5,2
How many of these divisors are EVEN? 2, 10…..2 even divisors.
ANSWER:B
The answer is: B | B |
mathematics | The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot? | [
"11",
"17",
"88",
"66",
"12"
]
| Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b = 17 m.Answer: B
The answer is: B | B |
mathematics | Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 800 become in 3 years ? | [
"Rs. 1020.80",
"Rs. 1025",
"Rs. 1052",
"Data inadequate",
"None of these"
]
| Solution
S.I. = Rs.(956-800 )=Rs.156
Rate = (100x156/800x3) = 6 1/2%
New rate = (6 1/2 +4)% = 10 1/2%
New S.I. = Rs.(800 x21/2x3/100) Rs. 252.
∴ New amount = Rs.(800+252)= Rs. 1052.
Answer C
The answer is: C | C |
mathematics | ((-1.9)(0.6) – (2.6)(1.2))/4.0 = ? | [
"1.07",
"1.0",
"-1.065",
"1.71",
"2.71"
]
| Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.
-1.065
Answer C
The answer is: C | C |
mathematics | Two whole numbers whose sum is 36 cannot be in the ratio | [
"2:4",
"3:4",
"3:6",
"1:3",
"3:36"
]
| B) 3:4
The answer is: B | B |
mathematics | How many of the positive factors of 16 are not factors of 20 | [
"2",
"3",
"4",
"1",
"5"
]
| factors of 16 - 1, 2, 4, 8, 16
factors of 20 -1, 2, 4, 5, 10, 20.
Comparing both, we have 2 factors of 16 which are not factors of 20- 8,16
Answer: A
The answer is: A | A |
mathematics | Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax? | [
"3%",
"4%",
"7%",
"10%",
"12%"
]
| Cost of Computer = $2000
Sales tax = (5/100)*2000 = $100
Total Cost of Computer = 2000 + 100 = 2100
For Henry
Cost of Computer = $1800
Sales tax = (12/100)*1800 = $216
Total Cost of Computer = 1800 + 216 = 2016
% that Henry paid less than Anne = (2100 - 2016)*100/2100 = 4%
Answer: Option B
The answer is: B | B |
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