divelab/Sys2Bench huggingface dataset:
Question: Four athletes, Wen-Wen, Mikaila, Brian, and Jamal, won gold medals in the Olympics. If Mikaila won 2 more than Brian did, Jamal won 6 less than Wen-Wen did, and Wen-Wen won 2 more than Mikaila did, how many more gold medals did Brian win than Jamal did?
Options:
A)4
B)6
C)2
D)1
E)12
Rationale: In this word problem, the first key is to turn the story into equations:
Mikaila won 2 more than Brian did: M = 2 + B
Jamal won 6 less than Wen-Wen did: J = W - 6
Wen-Wen won 2 more than Mikaila did: W = 2 + M
Then, in classic GMAT style, the problem doesn't ask you to solve for a single variable, but instead to solve for the difference between B and J (how many more gold medals did Brian win than Jamal did?). This means that your goal is to get the equations in terms of B and J so that you can solve for the expression B - J.
Taking the first equation and solving for B, you have B = M - 2.
Taking the second equation and solving for J you have J = W - 6, and then with the third equation you can replace W with 2 + M so that both B and J are in terms of M: J = (2 + M) - 6.
So if B = M - 2 and J = M - 4, then:
B - J = (M - 2) - (M - 4)
B - J = M - 2 - M + 4 (remove the parentheses by distributing the multiplication)
B - J = 2, so the answer is C.
Answer: C
Question: John and Mike enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If John received $800 more than Mike did, what was the profit made by their business in that year?
Options:
A)46457
B)465745
C)3000
D)3456
E)35346
Rationale: Say the profit was $x.
John share = x/6 (half of the third) + (x-x/3)*0.7
Mike's share = x/6 (half of the third) + (x-x/3)*0.3
Thus (x-x/3)*0.7-(x-x/3)*0.3=800 --> x=3000.
answer is C
Answer: C
Question: Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Options:
A)80
B)85
C)65
D)70
E)90
Rationale: 2) 65 (32 3) 32 (10 7) 10 (1
64 30 7
-------- -------- - ----- ===> 65
1 2 3
ANSWER C
Answer: C
Question: In an election contested by two parties, Party E secured 2% of the total votes more than Party F. If party R got 147,000 votes, by how many votes did it lose the election?
Options:
A)6,000
B)7,000
C)8,000
D)10,000
E)12,000
Rationale: E + F = 100 ---- (1)
E - F = 2 ---- (2)
Solving (1) and (2) E = 51% and F = 49%
49% of Total = 147000
Total = 300000
E = 153000
Difference = 153000 - 147000 = 6000
Answer: A
Answer: A
Question: The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams E?
Options:
A)E=16
B)E=32
C)E=64
D)128
E)512
Rationale: Weight directly proportional to 4 pi r^2
Now, 4pi is constant, so, weight is directly proportional to r^2.
When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;
(0.15)^2 * 4 proportional to 8*4, solving further
(0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (B)
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Options:
A)28%
B)25%
C)55%
D)28%
E)55%
Rationale: 800 --- 200
100 --- ? => 25%
Answer: B
Answer: B
Question: How many 4x4x4 cubes could fit in a 9x13x16 box?
Options:
A)22
B)28
C)29
D)31
E)32
Rationale: The answer is C) 29. 9x13x16 gives the box an area of 1,872. If you divide 1,872 by 64 (the total of 4x4x4), you get 29.25. This means 29 full boxes will fit in the larger box.
Answer: C
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length T of a cube whose surface area is equal to 6z?
Options:
A)T=16
B)T=8√2
C)T=8
D)T=2√2
E)(√2)/3
Rationale: 800score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-4, -4) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(4 × 4) = 8; so z = 8.
The next step requires us to find the length of a side of a cube that has a face area equal to 8. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 8. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 8. Clearly s = √8 = 2√2 , oranswer choice (D).
Answer: D
Question: Which number is the odd one out?
571219
461016
831114
461016
971613
781523
Options:
A)971533
B)971613
C)641613
D)851613
E)931613
Rationale: B
971613
Numbers are obtained by adding pairs of digits, ie with 571219.
5 + 7 = 12; 7 + 12 = 19.
To follow this same pattern 971613 would have to be 971623.
Answer: B
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 12k,k24, where k represents a digit that occurs twice, how many values could n have?
Options:
A)2
B)3
C)6
D)5
E)4
Rationale: 12kk24
Taking sum of the numericals = 1 + 2 + 2 + 4 = 9
We require the values of K such that they are also divisible by 3
120024
123324
126624
129924
Answer = 4 = E
Answer: E
Question: If x ≥ 0, y ≥ 0 and (x + y) ≤ 1, then the maximum value of (2x + 3y) is
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Sol.(b) It is given that x ≥ 0, y ≥ 0 and (x + y) ≤ 1.
x + y ≤ 1 => 2(x + y) ≤ 2 => 2x + 2y ≤ 2.
=> 2x + 2y + y ≤ 2 + y
=> 2x + 3y ≤ 2 + 1 = 3. (since y ≤ 1).
Answer B
Answer: B
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 95% water by weight. What is the new weight of the cucumbers, in pounds?
Options:
A)2
B)20
C)92
D)96
E)98
Rationale: Out of 100 pounds 99% or 99 pounds is water and 1 pound is non-water. After somewaterevaporates the cucumbers become 95% water and 5% of non-water, so now 1 pound of non-water composes 5% of cucucmbers, which means that the new weight of cucumbers is 1/0.05=20 pounds.
Answer: B.
Answer: B
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability Q that the 2 apples selected will include the spoiled one?
Options:
A)a. 1/5
B)b. 3/10
C)c. 2/5
D)d. 1/2
E)e. 3/5
Rationale: there can be two ways in which one can select a spoiled apple and a good apple.
1. you pick the spoiled one first and the good one later..
Prob of picking bad one = 1/5 (one bad apple)
Prob of picking a good one from the remaining 4 good apples (4/4 =1)
therefore the total prob for case 1 = i/5 * 1 = 1/5
Total prob Q= porb1 + prob2 = 1/5+1/5 = 2/5.C
Answer: C
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 50% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?
Options:
A)40%
B)35%
C)30%
D)25%
E)20%
Rationale: The number of gallons in the tank is (1/4)24 = 6 gallons
The amount of sodium chloride is 0.5(6) = 3 gallons
At the start, the amount of water is 0.5(6) = 3 gallons
After 4 hours, the amount of water is 3 - 0.5(4) = 1 gallon
The concentration of water is 1 / (3+1) = 1/4 = 25%
The answer is D.
Answer: D
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Options:
A)28
B)50
C)28
D)27
E)21
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer: B
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 90%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Options:
A)100% decrease
B)50% decrease
C)40% decrease
D)40% increase
E)30% increase
Rationale: The rate of reaction is invesrsly proportional to the concentration of chemical B present. It used to have B=1 . Now that B is increased by 100%. So the new equation would be 2B=(1/2). In order for the rate of reaction to still be 1, we need to change the concentration of A to yield a 2. It used to be A^2=1, now the new equation should be (sqrt(2)*A)^2=2. The change in the concentration of A can be calculated as (sqrt(2) -1)/1 or approximately 40% increase. Answer E.
Answer: E
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2500
Options:
A)30
B)50
C)210
D)300
E)700
Rationale: 27 = 3*3*3, and its GCF with x is 3, which implies that x has ONE factor of 3, but not TWO factors of 3.
100 and x have a GCF of 10, which implies that x has ONE factor of 10, but not TWO factors of 10.
Then we want to know what is the largest possible GCF of x and 2100.
Well 2500 = 5 * 5 * 10 * 10
We want x to include as many factors in common with 2100 as possible, to make the GCF with 2100 as big as possible.
We know x has one factor of 3, but not two factors --- that takes the 3.
We know x has one factor of 10, but not two factors --- we can take one of those 10's, but we have to leave the other
No other restrictions, so we can also grab that factor of 7 --- nothing saying that we can't, and it's there for the taking.
5*10 = 50
If we allow x to include as many factors as possible, within the constraints given, that is the most x could have in common with 2100.
B
Answer: B
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of R is?
Options:
A)A)Rs.4078
B)B)Rs.4000
C)C)Rs.4029
D)D)Rs.4027
E)E)Rs.6400
Rationale: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 * 2) = 10100 --- (i)
Q + R = (6250 * 2) = 12500 --- (ii)
P + R = (5200 * 2) = 10400 --- (iii)
Adding (i), (ii) and (iii), we get:
2(P + Q + R) = 33000 = P + Q + R = 16500 --- (iv)
Subtracting (i) from (iv), we get, P = 6400.
P's monthly income = Rs.6400.
Answer: E
Answer: E
Question: A restaurant spends one fifth of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Options:
A)23.5%
B)32.5%
C)35%
D)37.5%
E)40%
Rationale: Spend on rent = 1/5
Spend on food and beverage= 1/2 of remaining = 1/2*4/5= 4/10=2/5
so 2/5= 40.0%
E is the answer
Answer: E
Question: When positive integer d is divided by 6, the remainder is 1. Which of the following must be true?
I. d is a prime number
II. d is odd
III. d is divisible by 7
Options:
A)I only
B)II only
C)III only
D)I and II only
E)II and III only
Rationale: d=6q+1
Examine II) put q=0,1,2,3....... we have d=1,7,13,...25 so d must be odd
Examine III) 14/6 has reminder 249/7 has reminder 1 so not always true
Examine I) d= 7 true but while 2 is prime, it does not give reminder 1
Answer: B
Answer: B
Question: How many even integers from 1 to 100 (both inclusive) have EVEN number of factors?
Options:
A)13
B)14
C)5
D)6
E)7
Rationale: Integers having even number of factors will be perfect squares. even numbers will have even perfect squares. Thus, the possible values for the perfect squares are :
4,16,36,64,100 and the corresponding integers are 2,4,6,8,10(more than 4). Thus C is the correct answer .
Answer: C
Question: John must arrange 2 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Options:
A)6
B)12
C)36
D)120
E)720
Rationale: First Place, is reserved for Math book. There are 3 Math books which can be arranged in3 ways
Restriction comes into playhysics book cannot be together. Hence, the maththe physics books take alternate places
Second Place, Physics Book - in 3 ways
Third Place, Math Book - in 2 ways (only 2 books left)
Fourth Place, Physics - in 2 ways (only 2 Physics book left)
Rest two places can be arranged in one way only.
Total no of ways = 3*2*2*1*1 = 12 ways
B
Answer: B
Question: If a month of the year is chosen randomly, how likely is it that it contains 5 or fewer letters, or that the month starts with a "J"?
Options:
A)7/12
B)1/2
C)2/3
D)3/4
E)11/12
Rationale: P(5á´œJ) = P(5) + P(J) - P(5âˆ©J), where 5 denotes "five or fewer letters", and J denotes "starts with a J".
P(5á´œJ) = 5/12 + 3/12 - 2/12
= 1/2
Answer: B
Answer: B
Question: Find the number of ways of arranging a girl and 20 boys at a circular table so that the girl always sits in a particular seat?
Options:
A)3!
B)8!
C)11!
D)12!
E)20!
Rationale: Ans.(E)
Sol. Total number of persons = 21 Girl can sit in a particular seat in one way. Now, remaining positions are defined relative to the girl. Hence, the remaining can sit in 20 places => 20! Ways ... The number of required arrangements = 20! x 1= 20! = 20! ways
Answer: E
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Options:
A)36
B)81
C)100
D)324
E)900
Rationale: 81 = 9^2 so it can not be the square of an even number multiplied by an odd number.
The answer is B.
Answer: B
Question: The radius of a cylinder is 6 m, height 21 m. The total surface area of the cylinder is?
Options:
A)525
B)528
C)522
D)529
E)521
Rationale: Total surface area of the cylinder is = 2πr (r+h)
= 2 × 22/7 × 6(6+8)
= 2 × 22/7 × 6(14) = 44 × 12 = 528 m(power2)
Answer is B.
Answer: B
Question: What will come in place of the x in the following Number series? 40, 160, x, 2560, 10240
Options:
A)460
B)200
C)900
D)800
E)640
Rationale: (E)
10 x 4 = 40, 40 x 4 = 160, 160 x 4 = 640, 640 x 4 = 2560.
Answer: E
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Options:
A)11
B)12
C)14
D)13
E)15
Rationale: Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
Answer: D
Question: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
Options:
A)44
B)96
C)128
D)144
E)168
Rationale: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
(12*16)-(8*12) = 96
ANSWER:B
Answer: B
Question: How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
Options:
A)120 liters
B)180 liters
C)110 liters
D)160 liters
E)170 liters
Rationale: Explanation:
=8:12=2:3
ANSWER IS D
Answer: D
Question: A train 300 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 150 m long?
Options:
A)40
B)36
C)41
D)42
E)34
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 300 + 150 = 450 m
Required time = 450 * 2/25 = 36 sec
Answer: Option B
Answer: B
Question: The maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
Options:
A)91
B)910
C)1001
D)1911
E)None
Rationale: olution
Required number of students.
= H.C.F of 1001 and 910.
‹=› 91.
Answer A
Answer: A
Question: What is the units digit of 26! + 50! + 4! + 4!?
Options:
A)8
B)6
C)4
D)2
E)0
Rationale: Let us first write down the factorials of different numbers:
1! = 1
2! = 2
3! = 6
4! = 24
5! = 120
6! = 720
and so on.
If we notice here, all the numbers after 4! will end with a 0.
Here is why:
If we multiply any number by 10, a 0 is added to that number
And a 10 is formed by a 5 and a 2, 10 = 5*2
Till 4!, we do not have a "5" in multiplication. But after that, we will have atleast one "5" in the multiplication.
Coming back to the question,
Units digit of 26! + 50! + 4! + 4! = ?
By the logic above, 26! and 50! will end in a "0"
4! will end in a 4
Hence the units digit = 0 + 0 + 4 + 4 = 8
Correct Option: A
Answer: A
Question: There are 13 South American countries, Annie has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Annie choose from?
Options:
A)13.12.11.10.4.4.
B)13.12.11.10.4
C)13.12.4.4.
D)13.12.4
E)13.13.13.13
Rationale: flights paths can Annie choose from There are 13 ways to chose the first destination,
then, 12 ways to chose next destination, with option of 4 airports (13x4)
then, to return he has 4 options to chose the airports
Thus, 13*12*4*4 ways.
Using permutations:
If the solution had written 13P1 instead of 13C1 it won't matter. As per the definition - making arrangements of the combinations gives permutations.
Since there are no arrangement for 1 item, permutationscombinations are equal.C
Answer: C
Question: In the class of 50 students, 30 speak Tamil and 30 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Options:
A)A)8
B)B)10
C)C)20
D)D)30
E)E)32
Rationale: let the student who speaks tamil-x
let the student who speaks telugu-y
as (xuy)-(xny)=total
30+30-(xny)=50
=10
B)
Answer: B
Question: A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Options:
A)9 1/5 days
B)9 3/5 days
C)9 2/5 days
D)10 days
E)10 1/5 days
Rationale: (A + B + C)'s 1 day's work =1/4
A's 1 day's work =1/16
B's 1 day's work =1/12
Therefore C's 1 day's work =1/4-(1/16+1/12)=(1/4-7/48)=5/48	.
So, C alone can do the work in	48/5= 9 3/5days.
Option B
Answer: B
Question: A cube of side 5 cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
Options:
A)9
B)61
C)98
D)54
E)64
Rationale: Explanatory Answer
When a 5 cc cube is sliced into 1 cc cubes, we will get 5 * 5 * 5 = 125 cubes of 1 cubic centimeter.
In each side of the larger cube, the smaller cubes on the edges will have more than one of their sides painted.
Therefore, the cubes which are not on the edge of the larger cube and that lie on the facing sides of the larger cube will have exactly one side painted.
In each face of the larger cube, there will be 5 * 5 = 25 cubes.
Of these, the cubes on the outer rows will be on the edge. 16 such cubes exist on each face.
If we count out the two outer rows on either side of a face of the cube, we will be left with 3 * 3 = 9 cubes which are not on the edge in each face of the cube.
Therefore, there will be 9 cubes of 1-cc volume per face that will have exactly one of their sides painted.
In total, there will be 9 * 6 = 54 such cubes.
Choice D is the correct answer.
Answer: D
Question: How many 3-digit numbers are completely divisible 6 ?
Options:
A)150
B)166
C)138
D)182
E)172
Rationale: A
150
3-digit number divisible by 6 are: 102, 108, 114,... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then tn = 996.
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150
Number of terms = 150.
Answer: A
Question: workers in a factory store products inside two different sized boxes. The bigger of the boxes can store 50 products while the smaller box can store 40 products. If a fresh batch of products numbering 212 in total were to be stored, what is the least number of products that will not be boxed?
Options:
A)23
B)11
C)2
D)10
E)12
Rationale: Total products to be stored 212
The big box can store 50
small box can store 40
storing 212 products in big box 212/50 =4 r 12
least number of toys that will be left unboxed=12
Answer: E
Answer: E
Question: In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at Q 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){ (6Q)^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: J is 25% less than P and 20% less than T. T is t% less than P. What is the value of t?
Options:
A)93.5
B)90
C)6.75
D)6.25
E)2
Rationale: Usually We can solve every question of this type by choosing appropriate value of the Variable and deriving the value of other related variables.
Let, P = 400
then J = (75/100)*400 = 300
also J = (80/100)*T
i.e. T = 300*100/80 = 375
and T = [1-(t/100)]*P
i.e. 100-t = 100*T/P = 100*375/400 = 93.75
i.e. t = 6.25
Answer: Option D
Answer: D
Question: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 6% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Options:
A)5
B)9
C)15
D)20
E)25
Rationale: Use the forumla ;
Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three) + Neither
100 = 50 + 30 + 20 - ( sum of 2) -2(6) +15
100 = 103-( sum of 2)
3 = sum of 2
so more than 1 = 9
B
Answer: B
Question: Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost $3.5 per pound, and German chocolate cost $2.8 per pound. if the total the she spent on chocolate was $28 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?
Options:
A)9
B)8
C)10
D)12
E)15
Rationale: If there were all the expensive ones,3.5....
There would be 28/3.5 or 8 of them but since 2.8$ ones are also there, answer has to be >8..
If all were 2.8$ ones, there will be 28/2.8 or 10...
So ONLY 9 is left
Answer A..
Answer: A
Question: A School has 15 teaching staff and 10 non teaching staff. The 15 teaching staff have an average salary of $1000. The average salary of the 10 non teaching staff is $500. What is the average salary for the school?
Options:
A)$650
B)$800
C)$1300
D)$400
E)$900
Rationale: The number of teaching staff are 15
Their average salary is $1000
The number of non teaching staff is 10
Their average salary is $500
The total amount of salary for teaching staff is 15*1000 is $15,000
The total amount of salary for non teaching staff is 10*500 is 5000
Total amount of salary for the school is 15,000+5000=20,000
Average salary for the school is 20,000/15+10=800
Answer is B
Answer: B