divelab/Sys2Bench huggingface dataset:
Question: If 5^5 × 5^7 = (5^4)^x , then what is the value of x?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 5^5 × 5^7 = (5^4)^x
5^(5+7) = 5^(12) With multiplying numbers with exponents it's the same as adding the exponents
5^12 = (5^4)^x
since base is same, we can equate powers:
When raising an exponent to an exponent, it's the same as multiplying them, therefore:
12=4x
x=3
Ans. B) 3
Answer: B
Question: A loan has a variable interest rate that fluctuates between 5% and 9% of the base payment per month. If base payments remain at $250 each month and an additional monthly surcharge of 1% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Options:
A)$ 262.50
B)$ 265.13
C)$ 272.50
D)$ 275.23
E)$ 286.13
Rationale: To find the maximum amount, select the maximum rate that is 9%. Therefore the combined amount is 272.5.
To this amount add 1% extra of it, as a surcharge.
This will be something close to 275.
ANSWER:D
Answer: D
Question: 5020−(1004÷20.08)=?
Options:
A)4520
B)4350
C)4210
D)4100
E)4970
Rationale: Explanation:
=5020−(1004/2008×100)
=5020−50=4970
Option E
Answer: E
Question: If a lies in the range (-4,3) then which of the following statements must be true?
Options:
A)a^4 >a^3 > a^2 > a
B)a > a^2 > a^3 > a^4
C)a^4 > a^2 > a^3 >a
D)a^2 > a^4 > a^3 >a
E)a^2 > a^4 > a > a^3
Rationale: consider any number from the given range (-4,+3)..let a=-1/2
then a^2= 1/4
a^3=-1/8
a^4=1/16
so we have a^2>a^4>a^3>a
Ans D
Answer: D
Question: Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?
Options:
A)100 L
B)50 L
C)400 L
D)300 L
E)200 L
Rationale: 2 actions have been done on the mix...
1)7:3 is converted into 7:5 mix..
2) half of the mix of 7:5 is converted in 3:1 by adding 240l milk..
let's start with 2 action as more info is given there..
let the mix common ratio be 2x..
so total sol = milk:water=7*2x:5*2x
240 l milk is added to half of it to make it 3:1..
so (7x+240)/5x =3:1..
we get x=30 or 2x=60..
so the sol is 7*60:5*60=420:300..
now we look at the first action ..
this was created from 7:3 mix...
so say x was added to get this ratio...
so 420/(300-x)=7/3..
here x =120..
but 120 does not seem to be a choice..
now why 120 has to be correct..
initial milk:water=420:180=7:3(this is given to us)..
120 l of water is added= 420:180+120=420:300=7:5(again this confirms with what has been given)
240 l of milk is removed from half the mixture..
half the mix=210:150..
add 240 l milk...
210+240:150=450:150=3:1(satisfies the given data in Q).
ANSWER:D
Answer: D
Question: By selling 32 apples in a dollar, a man loses 40%. How many apples must he sell in a dollar to gain 20% profit?
Options:
A)16
B)18
C)20
D)25
E)28
Rationale: This is a question that is much easier than it first appears. If you work with the percents directly, you can solve it very quickly. If the man sells 32 apples for a dollar, he loses 40%. That means he is at 60% of his cost (100% - 40% = 60%). We are trying to figure out how many apples he has to sell in order to make a 20% profit, or be at 120% (100% + 20% = 120%). 120% is double 60%, meaning that we simply cut the number of apples in half to double our returns (from 60% to 120%), yielding 32/2 = 16 apples, or answer choice A.
Answer: A
Question: A and B together can do a work In 4 days. A alone can do it in 12days.what time B will take to do the work alone?
Options:
A)6 days
B)8 days
C)12 days
D)10 days
E)5 days
Rationale: Explanation:
A and B 1day's work = 1/4
A alone can do 1day's work = 1/12
what time B will take to do the work alone?
B = (A+B) - A = (1/4) - (1/12) = 6 Days
Answer: Option A
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 15% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Options:
A)$14,305
B)$15,325
C)$16,000
D)$16,225
E)$17,155
Rationale: cost of type A products next year = 1.15 * 4500 = 5175
cost of type B products next year = 1.1 * 8300 = 9130
total 5175 + 9130 = 14305 option A
Answer: A
Question: A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.
Options:
A)Rs. 5750
B)Rs. 6000
C)Rs. 5500
D)Rs. 5000
E)Rs. 7000
Rationale: The price varies as the square of the weight,
P = K x W2
12250 = K x 352
K = 10
Thus, P = 10W2
When the two pieces are in the ratio 2 : 5 (Weight wise) then we know that their weights must be 10g and 25g respectively.
Their values should be :
10g piece: 10 x 102 = Rs. 1000;
25g piece: 10 x 252 = Rs. 6250.
Total value of stone now, = 1000 + 6250 = Rs. 7250
Loss incurred = 12250 - 7250 = Rs. 5000
ANSWER:D
Answer: D
Question: a man and a woman, walking together start out by boyh taking a step with the left foot.in order to keep together, the man whose stride is longer,takes two steps while the woman takes three.how many steps will the woman have taken they are both about to step out on the right foot for the first time together?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: first man left and right, in that time woman has to do left,right and left. man and woman are ends with left and left.
next man left and right again, but woman has to start with right step. right,left,right. man and woman ends with right and right now.
hence solution is five.
ANSWER:B
Answer: B
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 59 liters and they are all empty, how much money total will it cost to fuel all cars?
Options:
A)320.20$
B)380.20$
C)421.20$
D)451.20$
E)481.20$
Rationale: Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 59 ) = 481.20
Hence answer will be (E)
Answer: E
Question: If it takes Alex 20 minutes to walk from home to School and it takes him 10 minutes to walk from home to the supermarket, which of the following COULD be true?
I. The School is closer to Alex's home than the supermarket.
II. To walk to School, Alex will spend double the time it takes him to walk to the supermarket.
III. Alex will spend more time walking to the school than walking to the supermarket.
Options:
A) I only
B) I and II only
C) I and III only
D) II and III only
E) I, II and III
Rationale: Let’s check each statement.
Statement I:The School is closer to Alex's home than the supermarket. Alex spends 10 minutes to walk to the supermarket and spends 20 minutes to walk to school, it takes him longer time to get to school in which case Statement I can NEVER be true.
Statement II: To walk to School, Alex will spend double the time it takes him to walk to the supermarket. Alex spends 10 minutes to walk to school, double that time is 20 minutes. The time taken to walk to school is actually double the time taken to walk to the supermarket in which case Statement II is TRUE.
Statement III: Alex will spend more time walking to the school than walking to the supermarket. Alex spends 20 minutes walking to school and spends 10 minutes walking to the supermarket. Obviously more time is taken to walk to school than walking to the supermarket, in which case Statement III is TRUE.
Statement II and III are true.
So,the correct answer is D.
Answer: D
Question: A house is getting ready for dinner table. There are 15 members in the family, and the butler must assign 10 people to the following positions: 1 main chair, 4 on left side, 4 on right side, and 1 most further away seat. Only 3 of the family members are elderly enough to sit on the main chair, and they will not sit at any other place. The other members can sit on any seat. How many different groupings are possible?
Options:
A)64585
B)100
C)80
D)59400
E)789300
Rationale: 3C1 select 1 for main chair from 3 elderly people;
12C4 select 4 people for left side chairs from 12 members (as 3 elderly would like to sit only on main chair 15-3=12);
8C4 select 4 people for right side chair from 8 members (as 3 are elderly, and 4 we have already selected for left side 15-3-4 = 8);
4C1 select 1 for the most further away chair from 4 people (again as as 3 are elderly, and 4 we have already selected for left side and 4 for right side chairs 15-3-4-4=4)
Total # of selection=3C1*12C4*8C4*4C1=59400
Answer: D
Answer: D
Question: A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:
Options:
A)4 days
B)6 days
C)8 days
D)10 days
E)12 days
Rationale: Explanation:
Ratio of rates of working of A and B =2:1. So, ratio of times taken =1:2
A's 1 day's work=1/9
B's 1 day's work=1/18
(A+B)'s 1 day's work=(1/9 + 1/18)=3/18=1/6
so, A and B together can finish the work in 6 days
ANSWER IS B
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)37
B)240
C)288
D)267
E)165
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 25)m = 375 m. Let the length of the platform be x meters. Then, (x + 375)/36 = 15 ==> x + 375 = 540 ==> x = 165 m.Answer: E
Answer: E
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Options:
A)18 2/61%
B)18 2/11%
C)18 2/81%
D)18 2/12%
E)18 2/21%
Rationale: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Answer: B
Question: If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
Options:
A)9
B)2
C)12
D)14
E)8
Rationale: Let the numbers be x and y
Then x2-y2=39
And x-y=3
We get x+y=13
Solving x-y=3, x+y=13
X=8, y=5
Larger number 8
ANSWER E
Answer: E
Question: 9 people decided to split the food order evenly. If the bill was $86.14 dollars, how much money should be removed with 1 cent as the smallest unit?
Options:
A)$86.10
B)$86.11
C)$86.12
D)$86.13
E)$86.19
Rationale: This is equivalent to finding the first number that is divisible by 9 that occurs after 8614.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 8+6+1+4=19. If you remove 1 , the number is divisible by 9 (19 -1). 18 is divisible by 9.
Hence, we need to remove 1 cent from this number for it to be divisible by 9.
Answer: D
Question: How many words can be formed by using all letters of the word 'BIHAR'?
Options:
A)720
B)24
C)120
D)60
E)None of these
Rationale: Explanation :
The word 'BIHAR' has 5 letters and all these 5 letters are different.
Total words formed by using all these 5 letters = 5p5 = 5!
= 5 x 4 x 3 x 2 x 1 = 120. Answer : Option C
Answer: C
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Options:
A)542
B)546
C)566
D)548
E)589
Rationale: Least number = (L.C.M. of 12, 15, 20, 54) + 8 = 540 + 8 = 548.
ANSWER : D
Answer: D
Question: The least number which must be subtracted from 909 to make it exactly divisible by 9 is:
Options:
A)A)2
B)B)3
C)C)0
D)D)5
E)E)6
Rationale: On dividing 909 by 9, we get remainder= 0
Therefore, required number to be subtracted= 0
Answer: C
Answer: C
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $11,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Options:
A)62,000
B)85,500
C)95,500
D)100,500
E)100,000
Rationale: Answer equals C in 48 years. I thought by 50th year it would reach 95,500. Options should have been separated more widely for clarity.
Answer: C
Question: Find the maximum value of n such that 50! is perfectly divisible by 2520^n
Options:
A)7
B)8
C)9
D)6
E)5
Rationale: 2520 = 2^3*3^2*5*7
Here, 7 is the highest prime,so find the no. of 7's in 50! only
no. of 7's in 50! = [50/7] + [50/7^2] = 7+1 = 8
ANSWER:B
Answer: B
Question: A comic collector sells his memorabilia through an on-line distributor, which take a commission of 5% of the price set by the collector. The on-line store obtains the product from an artist at the price of $100 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 5% profit on the cost of the item?
Options:
A)98.42
B)105.15
C)110.53
D)107.22
E)66.68
Rationale: Collector price = $100;The on-line distributor wants to maintain a 5% profit on the cost of the memorabilia, thus he must get $100*1.05 = $105 after the distributor takes a commission of 5% of the final price --> (final price)*0.95 = $105 --> (final price) = $110.53.Answer: C.
Answer: C
Question: 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
Options:
A)1.2 km
B)1.8 km
C)2.4 km
D)3.6 km
E)1.6 km
Rationale: B = 15km/hr, S= 3km/hr, Downstream B+S = 15+3 =18 km/hr
down stream time t = 12 min, we have to change it to hours so t = 12/60=1/5 hrs.
Distance = Speed*time = 18*1/5 = 3.6 km.
ANSWER:D
Answer: D
Question: (5568 / 87)1/3 + (72 x 2)1/2 = (?)1/2 ?
Options:
A)256
B)4
C)√2
D)16
E)None
Rationale: Answer
?)1/2 = (5568 / 87)1/3 + (72 x 2)1/2
= (64)1/3 + (144)1/2
∴ ? = (4 + 12)2 = 256
Correct Option: A
Answer: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Options:
A)425 miles
B)625 miles
C)325 miles
D)225 miles
E)625 miles
Rationale: During each hour, the car travels 65 miles. For 5 hours it will travel
65 + 65 + 65 + 65 + 65 = 5 *65 = 325 miles correct answer C
Answer: C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Options:
A)32 years
B)36 years
C)40 years
D)48 years
E)None
Rationale: Solution
Let the mother's present age be x years.Then, the person's present age	= (2/5 x) years.
Therefore	=[2/5x+8]
= 1/2(x+8)
= 2(2x+40)
=5(x+8)
= 40 year
Answer C
Answer: C
Question: If 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other?
Options:
A)1/33
B)2/33
C)1/3
D)16/33
E)47/84
Rationale: If we are to select 4 people from 7 couples WITHOUT any restriction, how many ways can we make the selection? 14!/4!10! =1001
If we are to select 4 people from 7 couples WITH restriction that no married couple can both make it to the group, only a representative?
7!/4!3! = 35
But we know that to select a person from each couple, take 2 possibilities
35*2*2*2*2 = 560
Probability = Desired/All Possibilities = 560/1001 = 47/84
Answer: E
Answer: E
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options:
A)5/21
B)5/24
C)5/26
D)5/31
E)6/29
Rationale: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Answer: C
Question: There are 8 orators A, B, C, D, E, F, G and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Options:
A)8! / 3!
B)8! / 6!
C)5! x 3!
D)8! / (5! x 3!)
E)8! / (5! x 4!)
Rationale: Select any three places for A, B and C. They need no arrangement amongst themselves as A would always come before B and B would always come before C.
The remaining 5 people have to be arranged in 5 places.
Thus, 8C3 x 5! = 56 x 120 = 67200 = 8! / 3!
ANSWER:A
Answer: A
Question: A copy machine, working at a constant rate, makes 40 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Options:
A)90
B)2,700
C)4,500
D)5,400
E)2,850
Rationale: Together the two machines make 40+55=95 copies per minute. So, in half an hour they will make 95*30=2,850 copies.
Answer: E.
Answer: E
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 12 years more than twice the age of the son. Find the present age of the father.
Options:
A)33
B)39
C)29
D)40
E)48
Rationale: if the present age be x years.
father's will be (3x+3)years..
so, (3x+3+3)=2(x+3)+12
or, x=12
so the fathers present age =(3x+3)=(3*12+3)years =39years..
ANSWER : OPTION B
Answer: B
Question: Two unbiased coins are tossed.What is the probability of getting at most one head?
Options:
A)2/3
B)1
C)3/4
D)2
E)1/2
Rationale: s={hh,tt,ht,th}
e=event of getting at most one head.
e={tt,ht,th}.
p(e)=n(e)/n(s)=3/4
Answer is option C
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Options:
A)2277
B)1640
C)2977
D)2991
E)2771
Rationale: (x*8*3)/100 = ((2665 - x)*3*5)/100
24x/100 = 39975/100 - 15x/100
39x = 39975 => x = 1025
Second sum = 2665 – 1025 = 1640
Answer: B
Answer: B
Question: An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Options:
A)6
B)9
C)12
D)24
E)48
Rationale: In 24 ounces, gold is 24 * (70/100) = 16.8 ounces. Now we add x ounces of pure gold to make it 90% gold.
So 16.8 + x = (24 + x)* 90/100 => x =48.
Answer is E.
Answer: E
Question: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?
Options:
A)-10
B)-20
C)-30
D)-40
E)-50
Rationale: h = b / 8 = 2 : formula for x coordinate of vertex
b = 16 : solve for b
y = 4 for x = 2 : the vertex point is a solution to the equation of the parabola
4(2)2 - 16(2) - c = 4
c = -20 : solve for c
correct answer B
Answer: B
Question: Seven years ago the average age of a family of 2 members was 26 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?
Options:
A)25years
B)29years
C)30years
D)35years
E)40years
Rationale: Explanation:
Average of the family of two numbers
7 years ago = 26
= (26+ 7) * 2 = 40 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 40 = 29 years
Answer: Option B
Answer: B
Question: Which of the following is a prime number ?
Options:
A)90
B)94
C)96
D)97
E)98
Rationale: Clearly, 97 is a prime number.
D
Answer: D
Question: The total of the ages of Mahesh, Suresh, Ramesh is 138 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Options:
A)32years
B)58years
C)42years
D)35years
E)30years
Rationale: Let ages of Mahesh, Suresh, Ramesh 10years ago be 2x,3x,4x
2x+10 + 3x+10 +4x+10 = 138
x = 12
Ramesh present age = 4*12+10 = 58 years
Answer is B
Answer: B
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 50 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
Options:
A)40
B)45
C)50
D)55
E)60
Rationale: Annie earned 40x + 10(2x) = 60x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 60x
(1.5x)(H) = 75x
H = 50 hours
The answer is C.
Answer: C
Question: Suppose that this fresh fruit contains 80% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruit?
Options:
A)A)32kg
B)B)40kg
C)C)25kg
D)D)80kg
E)E)100kg
Rationale: Quantity of pulp in 100kg of fresh fruits = (100-80)% of 100kg = 20kg
Let the quantity of dry fruit obtained be x kg
then, (100-20)% of x = 20
(80/100)*x = 20
x = 25
correct option is C
Answer: C
Question: A circle graph shows how the budget of a certain company was spent: 20 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries?
Options:
A)90°
B)135°
C)216°
D)240°
E)270°
Rationale: The percent of the budget for salaries is 100 - (20+9+5+4+2)= 60%
100% of the circle is 360 degrees.
Then (60%/100%)*360 = 216 degrees
The answer is C.
Answer: C
Question: The current in a river is 4 mph. A boat can travel 18 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Options:
A)69 miles
B)85.5 miles
C)96 miles
D)100 miles
E)112 miles
Rationale: Upstream Speed = 18-4=14 mph
Downstream Speed = 18+4 = 22 mph
D/14 + D/22 = 10 hours
Solving for D we get D=85.5
Answer: B
Answer: B
Question: It is required to seat 7 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
Options:
A)86,288
B)86,214
C)86,400
D)86,328
E)86,368
Rationale: Total number of candidates = 6 + 5 = 11. In the row of 11 positions, the even places are 2nd, 4th, 6th,8th,10th.
Now, number of even places = 5.
Number of girls to occupy the even places = 5.
Even places can be filled = P (5, 5) ways.
Number of boys = 6.
The remaining 6 places can be filled by 6 boys = P (6, 6) ways
By the fundamental principle of counting:
The required number of seating arrangements
P(5, 5) x P(6, 6) = 5! x 6! = 120 x 720 = 86,400
ANSWER:C
Answer: C
Question: For which of the following functions is f(e) = f(−e) for all values of e ?
Options:
A)f(x) = x^3 + 3
B)f(x) = −x
C)f(x) = 2x + 3
D)f(e) = −e^2 + 2
E)f(x) = 5x − 4
Rationale: f(e) = f(−e)
The above is a property of an even function .
f(e) = f^(n)
f(e) = f(−e) will hold when n is an even integer .
The only case when e is even is option D
Answer D
Answer: D
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 46 kg more than the weight of the third boy, what is the weight of the lightest boy?
Options:
A)87 kg
B)36.8 kg
C)98.8 kg
D)65.8 kg
E)87.8 kg
Rationale: Let the weights of the three boys be 4k, 5k and 6k respectively.
4k + 6k = 5k + 46
=> 5k = 46 => k = 9.2
Therefore the weight of the lightest boy
= 4k = 4(9.2) = 36.8 kg.
Answer:B
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Options:
A)288
B)150
C)277
D)269
E)261
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15 => x = 150 m.
Answer: B
Answer: B
Question: Jon had an average score of 85 on his first five quizzes. He had an
average score of 83 on his first six quizzes. What score did he receive on
his sixth quiz?
Options:
A)55
B)69
C)75
D)73
E)80
Rationale: The sum of Jon's first five scores is 5 Â· 85 and the sum of his first six scores is 6 Â· 83, so he received
6 Â· 83 âˆ’ 5 Â· 85 on his 6th quiz. You can do the arithmetic or note that the answer ends in a 3. The correct answer is D.
Answer: D
Question: After giving a discount of rs.45 the shopkeeper still gets a profit of 20%,if the cost price is rs.180.find the markup %?
Options:
A)0.4
B)0.55
C)0.45
D)0.48
E)0.58
Rationale: cost price=180
s.p=180*120/100=216
disc=45
so...mark price=216+45=261......
mark up%=261-180/180=81/180=.45 or 45%
ANSWER:C
Answer: C