RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A trader wants 10% profit on the selling price of a product whereas his expenses amount to 15% on sales. What should be his rate of mark up on an article costing 9?
A.20%
B.66 2⁄3%
C.30%
D.100⁄3%
Answer: D.100⁄3%
Explanation: Let the SP of the article be x
Expenses = 15% of x = 0.15x
Profit = 10% of x = 0.10x
CP = 9 (given)
Therefore, 9 + 0.15x + 0.1x = x ⇒ x = 12
∴ % increase for marked price = 12−9/9×100=100/3%
Answer D
Question: If 189*s is a perfect square then s can be which of the following numbers?
A.21
B.35
C.54
D.105
Answer: A.21
Explanation: My solution:
For a number to be a perfect square all the prime factors must be in pairs. So,
Prime factors of 945 are 3 *3 *3 * 7
1) 21 = 3 * 7
2) 35 = 5 * 7
3) 54 = 2 * 3 * 3 * 3
4) 105 = 3 * 5 * 7
5) 150 = 2 * 3 * 5 * 5
So only answer choice A completes the pairing of 3, 7. It adds a3, a5, and a7to the prime factors of 945 (3*3*3*7) and makes it a perfect square.A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
A.1/5
B.1/3
C.1/4
D.118/2
Answer: C.1/4
Explanation: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Answer: C
Question: Which of the following set is equivalent to set A= {a,b,c,d,e}
A.B= {1,2,3,4,5}
B.B= {c,a,b,f}
C.B= {-1,0,2,4}
D.B= {-1,2,4}
Answer: A.B= {1,2,3,4,5}
Explanation: Number of elements of A= Number of elements of B
ANSWER:A
Question: To which of the following shapes the area can't be calculated if the perimeter is given?
A.Circle.
B.An isosceles right triangle.
C.Rectangle.
D.A regular Hexagon
Answer: C.Rectangle.
Explanation: Except for a rectangle all other geometric shapes are dependent on one variable, and thus we can calculate one unique value of the area if we are provided the perimeter.
A. Circle -> Radius
B. An isosceles right triangle -> One side.
C. Rectangle -> Length and breadth.
D. A regular Hexagon -> Side of the hexagon
E. Square -> Side.
ANSWER:C
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 53 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
A.48
B.50
C.52
D.54
Answer: D.54
Explanation: Annie earned 40x + 13(2x) = 66x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 66x
(1.5x)(H) = 81x
H = 54 hours
The answer is D.
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 48 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19
B.19.7
C.19.9
D.16.7
Answer: D.16.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 48 Paise is given as tax
=> Total tax incurred = 48 Paise = Rs.48/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 48/100
⇒ 6(25 −0.3 −x) = 48
⇒ (25 − 0.3 − x) = 8
⇒ x = 25 − 0.3 − 8 = 16.7
D)
Question: In a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
A.5/21
B.3/7
C.4/7
D.5/7
Answer: B.3/7
Explanation: There are suppose A B C D E F G members in the room 4 people who have exactly one sibling....A B C D....(A is Bs∘SSsibl∈g∘SSand∘SSviceversa)∘SS(C∘SSis∘SSDs∘SSsibl∈g∘SSand∘SSviceversa)∘SS(C∘SSis∘SSDssibl∈gandviceversa)(CisDs sibling and viceversa) (C is Ds sibling and viceversa)...now remaning EFG are 5 people who have exactly 2 siblings....(E has F and G as his/her sibling and so on..)
there are now 3 different set of siblings (A and B)
(C and D);(EFG)
Now first selecting 2 people out of 7 is 7C2=21
first sibling pair----(A and B)--selecting 2 people --2C2=1
second sibling pair (C and D)--selecting 2 people--2C2=1
third sibling pair (E F G)--selecting 2 out of 5 --5C2=10
total= 1+1+10=12
but,a/c to formula P(success)-1-p(fail)
here,p(failure)is selecting 2 people who are siblings
=12/21(21 is 7C2)
=1-12/21
=9/21
=3/7 ANS B
Question: Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?
A.7
B.6
C.5
D.4
Answer: A.7
Explanation: (Rajiv +venky+ravi) 2 days work= 2(1/10+1/12+1/15)=1/2
ravi works alone for last 3 days = 3*1/15=1/5
total work 1/2+1/5=7/10
remaining work=1-7/10=3/10
(venky+ravi) 1 days work=1/12+1/15=9/60=3/20
3/10 work will be done by venky and ravi in 3/10*20/3=2 days
total days is the work completed= 2+3+2=7 days
ANSWER:A
Question: If the sides of a triangle are 20 cm, 12 cm and 16 cm, what is its area?
A.70
B.79
C.85
D.96
Answer: D.96
Explanation: The triangle with sides 20 cm, 12 cm and 16 cm is right angled, where the hypotenuse is 20 cm.
Area of the triangle = 1/2 * 12 * 16 = 96 cm2
Answer: Option D
Question: A dishonest milkman sells a 50 liter mixture of milk and water that contains milk and water in the ratio of 3:2. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
A.2:5
B.13:12
C.2:3
D.3:2
Answer: B.13:12
Explanation: ............................... Milk ............... Water ....................... Total
Initial ...................... 30 .................... 20 .............................. 50
20 Lts mix. taken out 30-12 ............... 20-8 ........................... 50-20
20 Lts milk added..... 18+20 ................ 12 ..............................50
20 Lts mix. taken out 38-12 ............... 12-8 ........................... 50-20
20 Lts water added..... 26 ................ 4+20 .............................. 50
New ratio = 26:24 = 13:12
B
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
A.420
B.840
C.1260
D.2520
Answer: A.420
Explanation: The integer should be divisible by: 2, 3, 4(=2^2), 5, 6(=2*3), and 7. The least common multiple of these integers is LCM=2^2*3*5*7=420.
Answer: A.
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 3 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
A. 4y
B. 17y/3
C. 6y
D. 8y
Answer: B. 17y/3
Explanation: Let $x be the advance that both receive = 3x
Amount earned per hour by John and Mary = x/10 and x/7
Mary gives $y to John to make the wages earned equal
Hence John wage per hr = (x+y)10 which is now equal to Mary's wage (x-y)/7
Solve (x+y)10 = (x-y)/7
7x + 7y = 10x -10y
3x = 17y
x = 9y
Ans. B
Question: In a function they are distributing noble prize. In how many ways can 2 prizes be distributed among 9 boys when a boy gets any no. of prizes?
A.36
B.42
C.81
D.69
Answer: C.81
Explanation: Ans.(C)
Sol. In this case, repetitions are allowed, so all the 2 prizes can be given in 9 ways, i.e. (9 x 9) ways = 92 ways = 81 ways Or nr ways = 92 ways = 81 ways
Question: Allen and Drake were born on consecutive years on the same date. What could be their ages if teh sum of their age is 23 years?
A.11 and 12 years
B.9 and 10 years
C.8 and 9 years
D.12 and 13 years
Answer: A.11 and 12 years
Explanation: Let the age of Allen and Drake be x and x+1
x + x+1 + 23
x = 11
The age of Allen and Drake is 11 and 12 years.
Answer : A
Question: Which number is the odd one out under the list of numbers?
A.84129
B.47232
C.84123
D.67626
Answer: B.47232
Explanation: B
47632
All the others are three digit numbers followed by their square root, eg 361 followed by its square root, 19.
Answer is B
Question: Two trains 250 m and 500 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.6
B.10.9
C.10.4
D.27
Answer: D.27
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 250 + 500 = 750 m.
Required time = 750 * 9/250 = 27 sec
Answer: D
Question: A package contains 8 black and 11 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/5
B.11/19
C.6/8
D.7/9
Answer: B.11/19
Explanation: Let number of balls = (8+11) = 19.
Number of white balls = 11.
P (drawing a white ball) =	11/19
B
Question: A train running at the speed of 110 km/hr crosses a pole in 9 sec. What is the length of the train?
A.298 m
B.275m
C.208 m
D.988 m
Answer: B.275m
Explanation: Speed = 110 * 5/18 = 275/9 m/sec
Length of the train = speed * time =275/9 * 9
= 275 m
Answer:B
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 2 km/hr in the direction of the moving train if the speed of the train is 56 km/hr?
A.30
B.54
C.40
D.36
Answer: C.40
Explanation: Speed of train relative to man = 56 - 2= 54 km/hr.
=54 * 5/18 = 15 m/sec.
Time taken to pass the man = 600 *1/15 =40 sec.
Answer: C
Question: If x and y are integers and 3^(x+4) = 3^(y+2), what is y in terms of x?
A.x - 6
B.x - 5
C.x - 2
D.x + 2
Answer: D.x + 2
Explanation: Answer: A
3^(x+4) = 3^(y+2)
Since the base is the same, I isolated the equations and solved for y.
x+4 = y+2
y=x+2
Ans : D
Question: How many integers from 101 to 600, inclusive, remains the value unchanged when the digits were reversed?
A. 50
B. 60
C. 70
D. 80
Answer: A. 50
Explanation: question is asking for palindrome
first digit possibilities - 1 through 5 = 5
6 is not possible here because it would result in a number greater than 6 (i.e 606 , 616..)
second digit possibilities - 0 though 9 = 10
third digit is same as first digit
=>total possible number meeting the given conditions = 5 *10 = 50
Answer is A.
Question: If k^3 is divisible by 162, what is the least possible value of integer k?
A.12
B.15
C.18
D.24
Answer: C.18
Explanation: k^3 = 162*x = 2*3^4*x
The factors of k must at minimum include 2*3^2 = 18.
The answer is C.
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?
A.35years
B.34years
C.33years
D.32years
Answer: D.32years
Explanation: Let my age =x
My brother's age =x+3
My mother's age =x+26
My sister's age =(x+3)+4=x+7
=(x+3)+4=x+7
My father's age =(x+7)+28=x+35
Age of my father when my brother was born
=x+35−(x+3)=32 Answer: Option D
Question: A store sold cherries in the afternoon twice as many as in the morning. Throughout the day were sold 360 kg. How many kilograms were sold in the afternoon?
A.140 kg.
B.240 kg.
C.340 kg.
D.440 kg.
Answer: B.240 kg.
Explanation: Solution:
Let's suppose that х kg. were sold in the morning then 2x were sold in the afternoon. x + 2x = 360 <=>
3x = 360 <=> x = 120. In the afternoon were sold 2x = 240 kg.
Answer B
Question: How many ways can 5 different colored marbles be placed in 3 distinct pockets such that any pocket contains at least 1 marble?
A.60
B.90
C.120
D.150
Answer: D.150
Explanation: With 3,1,1 distribution:
# of ways to select 3 from 5
5!/3!2! = 10
# of ways to select 1 ball from 2
2!/1! = 2
# of ways to select 1 ball from 1
1!/1! = 1
How many ways to distribute 3,1 and 1 to 3 boxes? 3!/2! = 3
10*2*3 = 60
With 2,2,1 distribution:
How many ways to select 2 from 5?
5!/2!3! = 10
# of ways to select 2 from 3
3!/2!1! = 3
# of ways to select 1 from 1
1
How many ways to distribute 2,2,1 to 3 boxes? 3!/2! = 3
10*3*3=90
90+60 = 150
Answer: 150. D
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an odd number?
A.3/7
B.4/7
C.3/10
D.7/10
Answer: A.3/7
Explanation: There are 7 numbers higher than 3 and 3 of them are odd.
The probability is 3/7.
The answer is A.
Question: How many times in a day the hands of a clock are straight?
A.12
B.322
C.87
D.22
Answer: D.22
Explanation: In 12 hours, the hands coincide or are in oppesite direction 22 times.
In 24 hours, they are at right angles 22 times.
Answer: Option 'D'
Question: what is the maximum possible remainder when a number 104^n is divided by 51 ? (Assume n be any positive integer)
A.29
B.32
C.96
D.85
Answer: B.32
Explanation: let n=1 then 104/51= 2(rem)
for getting a max rem put n=5, because rem(2)*5= 32 which is less than 51
ANSWER:B
Question: A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :
A.Rs. 15,000
B.Rs. 1,50,000
C.Rs. 1500
D.Rs. 1,62,000
Answer: A.Rs. 15,000
Explanation: Explanation:
Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.
Answer IS A
Question: 5 20 380 144020 ?
A.20741616380
B.20841616380
C.21741616380
D.22741616380
Answer: A.20741616380
Explanation: If number=N, then next number=N*(N-1)
So 5, (5*4=20), (20*19=380), (380*379=144020), (144020*144019=20741616380)
ANSWER:A
Question: Three people have $26, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
A.$72
B.$85
C.$98
D.$101
Answer: C.$98
Explanation: Solution -
Total money distributed is $196. In order to maximize median, one person has to accept $0 and remaining two people share $98 each. Hence median is $98.
ANS C
Question: Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
A.60 minutes
B.50 minutes
C.40 minutes
D.30 minutes
Answer: A.60 minutes
Explanation: Solution:
60 minutes
Explanation:
Roy will be able to consume all the five tablets in an hour.
Tablet 1 will be taken in 0 min.
Tablet 2 will be taken in 15 min.
Tablet 3 will be taken in 30 min.
Tablet 4 will be taken in 45 min.
Tablet 5 will be taken in 60 min.
Answer A
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
A.58
B.85
C.76
D.68
Answer: B.85
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
10% of 850 = 85.
Answer:B
Question: 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?
A.7
B.5
C.9
D.4
Answer: A.7
Explanation: 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
Question: A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price D per t-shirt that the vendor paid for these purchases?
A.$12.20
B.$12.50
C.$12.55
D.$12.70
Answer: A.$12.20
Explanation: Correct Answer: A
Explanation: The relevant formula for this problem is Average D= (Sum)/(Number of Terms). Another way to look at the formula is Sum = Average x Number of Terms. For the first purchase, the vendor's sum (total cost) was $140, since 14 x 10 = 140. For the second purchase, the vendor's cost was $165, since 11 x 15 = 165. The grand sum is then $140 + $165, which equals $305. The total number of shirts purchased was 25, so to get the average price per shirt, we divide 305 by 25, which equals $12.20. As a result, the correct answer is A.
NOTE: A relative understanding of weighted average offers a shortcut to this problem. Because the true average of 11 and 14 is 12.5, but the vendor sells more shirts at the lower price than at the higher price, the weighted average must be less than $12.50; only answer choice A is a possibility.
Question: Set A: 3, w, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – w?
A.-2
B.-1
C.0
D.1
Answer: B.-1
Explanation: So we have even no. of elements in the Set
So median is the average of Middle two numbers
(w+8)/2= (y+9)/2
y - w= -1
Answer B
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
A.8
B.6
C.4
D.2
Answer: C.4
Explanation: 4 πr2
= 64
=> r = 4
Answer: C
Question: H is a positive integer and 225 and 216 are both divisors of H. If H=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
A.4
B.8
C.6
D.7
Answer: B.8
Explanation: Lets make factorization of 225 and 216 ..
225 = 5 X 5 X 3 X 3 X 3
216 = 2 X 2 X 2 X 3 X 3 X 3
H would have to have 3 two's , 225 has 3 threes and and so does 216 but they can be the same three threes so we count them only once ... 225 has 2 fives ... So we had them together and we get 3 + 3 + 2 = 8(B) (answer) ...
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 36 years now, the son's age five years back was
A.13years
B.15years
C.17years
D.19years
Answer: A.13years
Explanation: Let the son's present age be x years. Then, (36 - x) = x
2x = 36.
x = 18.
Son's age 5 years back (18 - 5) = 13 years.
A)
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 114 km apart?
A.1 1/4 hours
B.3 hours
C.4hours
D.3 3/4 hours
Answer: B.3 hours
Explanation: To be (18+20) km apart, they take 1 hour
To be 114 km apart, they take 1/38 * 114 = 3 hrs
Answer is B
Question: A certain list of 301 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
A. 75 and 80
B. 75 and 75
C. 70 and 75
D. 74 and 75
Answer: B. 75 and 75
Explanation: Deviation means spreading of the numbers from one median point value..
as the set is already established and we need to add only two numbers, this means we can only add numbers which are closer to the median to reduce the deviation.
so 75 and 75 are the most close numbers and they will increase the number of elements in the set without changing the median value.
B
Question: Find the one which does not belong to that group ?
A.30
B.82
C.27
D.62
Answer: A.30
Explanation: Explanation:
27, 36, 72 and 45 are divisible by 9, but not 30.
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.m
B.m
C.m
D.m
Answer: B.m
Explanation: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.
ANSWER:B
Question: A train 450 m long running at 126 kmph crosses a platform in 20 sec. What is the length of the platform?
A.271
B.250
C.350
D.277
Answer: B.250
Explanation: Length of the platform = 126 * 5/18 * 20 = 700 – 450
= 250
Answer:B
Question: An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
A.12.50 %
B.13.50 %
C.14 %
D.14.50 %
Answer: A.12.50 %
Explanation: Sol.
Let C.P. = Rs. 100. Then, marked price = Rs. 150.
S.P. = 75% of Rs. 150 = Rs. 112.50.
∴ Gain% = 12.50%.
Answer A
Question: If the growth in production of company A from 1994 to 1995 was 25% and that from 1995 to 1996 was 60%, then what percentage growth took place from 1994 to 1996?
A.85%
B.75%
C.200%
D.100%
Answer: D.100%
Explanation: Percentage growth from 1994 to 1996
= +25 + 60 + 25×60/100= +100%
Answer D
Question: Jack bought 150 packets of chocolate. He was able to sell 1/3 of them at a 20% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of $9.
Please provide an intuitive answer if possible. Thanks!!
A.Profit of $50
B.Profit of $20
C.Loss of $25
D.Profit of $30
Answer: A.Profit of $50
Explanation: A packet sold at a 10% loss had a price of $9, thus the cost of a packet is $10.
50 packets was sold at a 20% profit --> gives profit of 10*0.2*50 = $100.
50 packets was sold at a 10% loss --> gives loss of 10*0.1*50 = $50.
The overall Profit is $100 - $50 = $50.
Answer: A.
Question: A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
A.1647
B.1640
C.2888
D.2298
Answer: B.1640
Explanation: Principal = (P.W. of Rs. 882 due 1 year hence) + (P.W. of Rs. 882 due 2 years hence)
= [882/(1 + 5/100) + 882/(1 + 5/100)2]
= (882 * 20)/21 + (882 * 400)/441 = Rs. 1640.Answer: B
Question: Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On opening all the pipes, an empty tank is filled in 9 hours. How many inlet pipes are there?
A.2
B.4
C.3
D.5
Answer: B.4
Explanation: x / 9 – y / 6 = 1/9; 2x – 3y + 2
We can compute that x = 4 and y = 2.
Thus, Inlet pipe = x = 4.
Answer: B
Question: There are 9 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
A.85
B.87
C.89
D.91
Answer: D.91
Explanation: The total number of ways to form a team of 5 is 9C5=126.
We need to subtract the number of teams that have both the CEO and the CFO.
The number of teams with both the CEO and CFO is 7C3=35.
The number of ways to form an acceptable team is 126-35=91.
The answer is D.
Question: The grade point average of the entire class is 87. If the average of one third of the class is 95, what is the average of the rest of the class?
A.81
B.82
C.83
D.84
Answer: C.83
Explanation: Let x be the number of students in the class.
Let P be the average of the rest of the class.
87x = (1/3)95x + (2/3)(P)x
261 = 95 + 2P
2P = 166
P = 83.
The answer is C.
Question: The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
A.25
B.35
C.38
D.29
Answer: B.35
Explanation: excluded number = (27 x 5) - (25 x 4)
= 135 - 100
= 35.
Answer: B
Question: Find the odd man out
1, 2, 5, 14, 41, 120
A.2
B.14
C.124
D.120
Answer: D.120
Explanation: 1*3-1 =2
2*3-1 = 5
5*3-1 = 14
14*3-1 = 41
41*3 -1 = 122
ANSWER:D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
A.34
B.40
C.68
D.88
Answer: D.88
Explanation: We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
ANSWER:D
Question: In a class,7 students like to play Basketball and 5 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
A.12
B.15
C.16
D.9
Answer: D.9
Explanation: Draw a Venn Diagram yourself !
B + C - BC = Number of students that play either Basketball or Cricket
7 +5 - 3 = 9
D)