RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
A.21
B.42
C.1500
D.600
Answer: C.1500
Explanation: Vowel: E O
Consonants: V R M N T
First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)
Fifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
Fourth letter can be filled in 3 Ways
So, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500
Answer C
Question: A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
A.30%
B.50%
C.60%
D.80%
Answer: B.50%
Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Question: Hyderabad Chennai Mumbai Delhi Bangalore Trivandram ;
Hyderabad
Chennai
Mumbai
Delhi
Bangalore
Trivandram
In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
A.20
B.18
C.14
D.15
Answer: D.15
Explanation: Easy way to go about this problem is we have 6*6 = 36 enteries in table the least number of enteries would be (36 - 6) /2 since 6 enteries represent the distances between same points .
Alternatively this can be solved as combination problem.
Correct Answer D
Question: The average age of a group of 20 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
A.22 years
B.30 years
C.42 years
D.32 years
Answer: C.42 years
Explanation: Answer
The average age of a group of 20 students is 20.
Therefore, the sum of the ages of all 20 of them = 20 * 20 = 400
When two new students join the group, the average age increases by 2. New average = 22.
Now, there are 22 students.
Therefore, the sum of the ages of all 22 of them = 22 * 22 = 484
Therefore, the sum of the ages of the two new students who joined = 484 - 400 =84
And the average age of each of the two new students = 84/2 = 42 years.
Answer C
Question: A train traveled the first d miles of its journey it an average speed of 40 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 96 miles per hour, what is the value of y?
A. 68
B. 84
C. 100
D. 120
Answer: C. 100
Explanation: Average speed=Total distance traveled /Total time taken
3d/d/40+d/y+d/160=96
Solving for d and y,
15y=11y+480
4y=400
y=100
Answer C
Question: When ticket sales began, Pat was the mth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
A.(m - 1) x
B.m + x –1
C.(m-1)/x
D.x/(m-1)
Answer: C.(m-1)/x
Explanation: C. (m - 1) / x
Question: Which of the following coordinates are on the line segment connecting (5, 6) and (21, 18)?
A. (9, 9)
B. (12, 12)
C. (13, 13)
D. (12, 13)
Answer: A. (9, 9)
Explanation: The line segment connects (5,6) to (21,18), therefore the change in the x-coordinate is 16, and the change in the y-coordinate is 12. We can simplify that to a slope of 3/4. That is, the points on the line with integer coordinates will all be of the form (5+4n, 6+3n). Put simply, starting at the point (5,6), to find the next point with integer coordinates on the line, all we have to do is add 4 to the x-coordinate and 3 to the y-coordinate. Then we can continue to do that until we find one of the answer choices.
In this case, the next point would be (5+4, 6+3), or (9,9). That is one of the answer choices, so the answer is A.
If (9,9) wasn't an option we could continue to add 4 to the x-coordinate and 3 to the y-coordinate until we found a point that was in the answer choices. The points are:
(5,6)
(9,9)
(13,12)
(17,15)
(21,18)
Beyond that and we are no longer on the line segment connecting the two original points.
Answer: A
Question: Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 40 percent ?
A.200
B.160
C.400
D.80
Answer: C.400
Explanation: The # oflong-termemployees is 70%*800=560.
After y of them retire new # oflong-termemployees would become 560-y.
Total # of employees would become 800-y.
We want 560-y to be 40% of 800-y --> 560-y=(800 -y)*40% --> y = 400.
Answer: C.
Question: If a = 4p, where p is a prime number greater than 2, how many different positive even divisors does a have, including a ?
A. Two
B. Three
C. Four
D. Six
Answer: C. Four
Explanation: a=4p
since a = 4p thenevendivisors are:
4p/4p= 1
4p/2p= 2
4p/4= p
4p/2= 2p
so the answer is (C)
Question: Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
A.broke even
B.lost 4 cents
C.gained 4 cents
D.lost 10 cents
Answer: A.broke even
Explanation: 20 % profit on $ 1.20
= $ 20/100 * 1.20
= $ 0.20 * 1.20
= $ 0.24
Similarly, 20 % loss on $ 1.20
= $ 20/100 * 1.20
= $ 0.20 *1.20
= $ 0.24
Therefore, in one pipe his profit is $ 0.24 and in the other pipe his loss is $ 0.24.
Since both profit and loss amount is same so, it’s broke even.
correct answer A
Question: The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Explanation:
A.101
B.107
C.111
D.117
Answer: C.111
Explanation: Let the numbers be 37a and 37b.
Then, 37a x 37b = 4107
ab = 3.
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).
Greater number = 111.
Answer: Option C
Question: John and Lewis leave City A for City B simultaneously at 6 A.M in the morning driving in two cars at speeds of 40 mph and 60 mph respectively. As soon as Lewis reaches City B, he returns back to City A along the same route and meets John on the way back. If the distance between the two cities is 240 miles, how far from City A did John and Lewis meet?
A.150 miles
B.160 miles
C.140 miles
D.170 miles
Answer: B.160 miles
Explanation: Time taken by Lewis to reach City B = 240/60 = 4 hours
In 4 hours, John travels 40*4 = 160 miles
So distance at which they meet should be greater than 160 miles.
Only B satisfies.
Answer is B.
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 74, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
A.K+37
B.2K+37
C.(74+K)/2
D.(74-K)/2
Answer: C.(74+K)/2
Explanation: Let y be the years of service at the company.
After y years of service, Sue's age will be K + y.
Sue can retire when (K+y) + y = 74
y = (74 - K)/2
Then Sue's age will be K + y = K + (74 - K)/2 = (74+K) / 2
The answer is C.
Question: Find the number, difference between number and its 3/5 is 50.
A.110
B.125
C.120
D.140
Answer: B.125
Explanation: No = x
then x-3/5x = 50
(2/5)x = 50==> 2x=50*5
x = 125
ANSWER B
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Tuesday, how many croissants will Marina eat on the 24th of that month?
A.1
B.2
C.3
D.5
Answer: D.5
Explanation: She eat as follow
Mon - 1
Tue - 2
Wed - 3
Thr - 5
Fri - 1(since she had more than 4 previous day)
sat - 6
sunday - 1 (since she had more than 4 previous day)
so 24th day of month she will have 5.
Answer is D
Question: If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
A.4
B.6
C.11
D.20
Answer: C.11
Explanation: xy = 660 = 2 * 2 * 3 * 5 * 11
One of x or y must be divisible by 11.
The answer is C.
Question: One tap can fill a water tank four times as fast as another tap. If together the two taps can fill the water tank in 30 minutes then the slower tap alone will be able to fill the water tank in _______ .
A.120 min
B.150 min
C.170 min
D.190 min
Answer: B.150 min
Explanation: Let the slower pipe alone fill the water tank in t minutes.
Then, faster pipe will fill it in t/4 minutes.
Therefore, 1/t + 4/t = 1/30
=>5/t = 1/30
Now solve for t.
=> t=150 min
ANSWER:B
Question: The speed of a train is 102 kmph. What is the distance covered by it in 30 minutes?
A.50 kmph
B.51 kmph
C.41 kmph
D.61 kmph
Answer: B.51 kmph
Explanation: 102 * 30/60
=51 kmph
Answer: B
Question: How much simple interest per annum can I negotiate with my Bank so My Family can pay back in 40 years at most double of the money we will borrow.
A.4
B.5
C.2.5
D.4.5
Answer: C.2.5
Explanation: P = (P*SI*40)/100
100P = P*SI*40
100 = 40SI
Therefore SI = 2.5%
C= 2.5
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 1760 cubic metres in 10 minutes. The inner radius of the pipe should be :
A.√2 m
B.2 m
C.1⁄2 m
D.2√2 m
Answer: D.2√2 m
Explanation: Let inner radius of the pipe be r.
Then, 1760 = 22⁄7 × r2 × 7 × 10
or r2=1760/22×10=8
or r = 2√2 m
Answer D
Question: If x and y are positive integers and 18x=12y what is the least possible value of xy?
A. 14
B. 28
C. 36
D. 84
Answer: C. 36
Explanation: 18x=12y
=> x/y = 2/3
=> 3x=2y
3(3)=2(3) => x*y=9 But it is not given
3(6)=2(6) => x*y=36
C
Question: Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 12, and 19, what is the value of r?
A.15
B.22
C.23
D.25
Answer: C.23
Explanation: From the triangle inequality rule, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, the three inequalities are:
1. q + 12 > 19
2. 12 + 19 > q
3. q + 19 > 12
Equation 3 is true for any positive value of q.
From equation 1, q > 7
From equation 2, 31 > q
Then 31 > q > 7 so q can be any value from 8 to 30 inclusive.
The number of possible values is 23.
The answer is C.
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
The sum of the first 54 positive even integers is 2550. What is the sum of the even integers from 94 to 200 inclusive?
A.5,100
B.7,938
C.10,100
D.15,500
Answer: B.7,938
Explanation: even numbers from 94 to 200=106/2+1=54
Sum= (200+94)x54/2=7938
So B is the ans.
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her twelve kids?
A.7.5
B.9
C.3.5
D.7.2
Answer: A.7.5
Explanation: cost of each apple = 4 dollars
Apples that Benny can buy with the amount she has=360/4 = 90.
Apples that each kid gets evenly = 90/12 =7.5 Apples.
So the answer is A=7.5
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 6. The numbers are
A.12, 24, 30
B.12, 24, 38
C.12, 24, 362
D.6, 12, 18
Answer: D.6, 12, 18
Explanation: Explanation:
Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= 6
\inline \fn_jvn \therefore The numbers are 6, 12, 18
Answer: D) 6, 12, 18
Question: The C.P of 40 pens is equal to the S.P of 60 pens. Find his gain % or loss%
A.25 2/3
B.32 1/3
C.33 1/3
D.25 1/3
Answer: C.33 1/3
Explanation: 40 CP = 60 SP
60 --- 20CP loss
100 --- ? => 33 1/3%
Answer: C
Question: A person buys an article at $380. At what price should he sell the article so as to make a profit of 25%?
A.445
B.449
C.475
D.740
Answer: C.475
Explanation: C
475
Cost price = $380
profit = 25% of 380 = $95
Selling price = Cost price + Profit
= 380+ 95 = 475
Question: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?
A.220
B.225
C.230
D.240
Answer: B.225
Explanation: 25 + 60 + 140 = 225
There are 225 students involved
in either band or sports.
B)
Question: A box contains three pairs of blue gloves and two pairs of green gloves. Each pair consists of a left-hand glove and a right-hand glove. Each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. If three gloves are randomly selected from the box, what is the probability that a matched set (i.e., a left- and right-hand glove of the same color) will be among the three gloves selected?
A.3/10
B.23/60
C.7/12
D.41/60
Answer: D.41/60
Explanation: You can use the 'calculating the reverse' method used by Bunuel above or if you would like to calculate the probability of getting a matched set in the usual way, you can think of it in this way:
Bleft (3), Bright(3), Gleft (2), Gright(2)
Bleft, Bright, G
Get a Bleft and Bright in (3/10)*(3/9) ways. Then get any green in 4/8 ways.
Probability of getting B pair and a G = (3/10)*(3/9)*(4/8)*3!
(You multiply by 3! here because you could pick in some other order e.g. Bright, Bleft, G or Bleft, G, Bright etc)
Bleft, Bright, B
Get a Bleft and Bright in (3/10)*(3/9) ways. Then get any blue in 4/8 ways.
Probability of getting B pair and another B = (3/10)*(3/9)*(4/8)*3!/2!
(You multiply by 3! here to account for the order e.g. Bright, Bleft, Bleft or Bleft, Bright, Bright etc but two gloves will be identical so you divide by 2!)
Gleft, Gright, B
Get a Gleft and Gright in (2/10)*(2/9) ways. Then get any Blue in 6/8 ways.
Probability of getting G pair and a B = (2/10)*(2/9)*(6/8)*3!
Gleft, Gright, G
Get a Gleft and Gright in (2/10)*(2/9) ways. Then get any other G in 2/8 ways.
Probability of getting G pair and a G = (2/10)*(2/9)*(2/8)*3!/2!
Adding them all up, you get 41/60.
ANSWER:D
Question: If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used?
A.87
B.267
C.68
D.26
Answer: A.87
Explanation: We have to consider the number of 4's in two digit numbers. _ _
If we fix 4 in the 10th place, unit place be filled with 10 ways. If we fix 4 in units place, 10th place be filled with 9 ways (0 is not allowed)
So total 19 ways.
Alternatively:
Answer:A
Question: A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
A.1.5
B.2.5
C.3
D.4.5
Answer: B.2.5
Explanation: we have 15 cups of sauce with 4040 choc and 6060 rasb
cups of choc = 0.4∗15=6
cups of rasb = 0.6∗15=9
now let say we removed x cup of original mix and replaced with x cups of choc.
therefore final number of cups of choc =6−0.4x+x
now this number of cup should be 50% of total = 15/2=7.5
therefore 6−0.4x+x=7.5
on solving x=2.5
ANSWER:B
Question: Find the value for m?
19(m + n) + 17 = 19(-m + n) - 21
A.0
B.-1
C.1
D.2
Answer: B.-1
Explanation: 19m + 19n + 17 = -19m + 19n - 21
38m= -38 => m = -1
B
Question: In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
A.32
B.16
C.64
D.80
Answer: A.32
Explanation: Let total number be x
No in the interior = (x/8)^2
No outside = 16
So : x - (x/8)^2=16
x^2-64x+16*64=0
(x-32)^2=0
x=32
A
Question: The incomes and expenditures of P, Q, R are in the ratio of 6 : 8 : 11 and 5 : 8 : 12 respectively. If P saves 1/4th of his income, what is the ratio of the savings of P, Q and R ?
A.15 : 8 : 2
B.19 : 7 : 9
C.7 : 15 : 10
D.12 : 9 : 17
Answer: A.15 : 8 : 2
Explanation: Explanation:
Let the incomes of P, Q, R be 6x, 8x, 11x and expenditure be 5y, 8y and 12y respectively.
Therefore, savings are : (6x – 5y), (8x – 8y) and (11x – 12y)
Now, 6x – 5y = 1/4(6x)
24x – 20y = 6x
18x = 20y
x/y = 20/18 = 10 / 9
Savings of P / Savings of Q = 6x – 5y / 8x – 8y
= [6(x/y) – 5] / [8(x/y) – 8]
= [(6 * 10/9) – 5] / [(8 * 10/9) – 8]
= 15/8
Savings of Q / Savings of R = 8x – 8y / 11x – 12y
= [8(x/y) – 8] / [11(x/y) – 12]
= (8 * 10/9) – 8 / (11* 10/9) – 12
= 8/2
Ratio of savings of P : Q : R = 15 : 8 : 2
ANSWER: A
Question: Evaluate : 1024 x 237 + 976 x 237
A.486000
B.568000
C.378000
D.474000
Answer: D.474000
Explanation: 1024 x 237 + 976 x237 = 237 x (1024 + 976) = 237 x 2000 = 474000.
Answer is D.
Question: A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.79%
B.58%
C.44%
D.69%
Answer: D.69%
Explanation: g% = 30 + 30 + (30*30)/100
= 69%
Answer: D
Question: In a sample of high school students, 20 percent are sophomores, and 65 percent are not freshmen. What percentage of the high school students are juniors or seniors?
A.15
B.25
C.35
D.45
Answer: D.45
Explanation: 65 percent are not freshman --> This means 65 percent are either sophomores, juniors, or seniors
Already, we know % that are sophomores = 20 %
So, % of juniors and seniors = 65 % - 20 % = 45 % .. => (D)
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
A.12.5
B.12.1
C.12.9
D.12.3
Answer: B.12.1
Explanation: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
Answer: B
Question: How many days per calendar year is the month a factor of the day
A.0
B.1
C.45
D.90
Answer: C.45
Explanation: Solution: 45
All 31 days in January, because 1 is a factor of all integers
14 of the 28 days in February (because every other day is divisible by 2)
10 of the 31 days in March (the multiples of 3 between 3 and 30)
7 days in April (the multiples of 4 between 4 and 28)
6 days in May (the multiples of 5 between 5 and 30)
5 days in June (the multiples of 6 between 6 and 30)
4 days in July (the multiples of 7 between 7 and 28)
3 days in August (the multiples of 8 between 8 and 24… so, so close if only the month were 32 days long!)
3 days in September (9th, 18th, 27th)
3 days in October (10th, 20th,30th)
2 days in November (11th, 22nd)
2 days in December (12th, 24th)
And there you have it! As you can see, as you move through the months, your job starts to get easier as you pick up on the patterns and are able to reuse some of your previous insights… This is a very valuable skill to remember on test day!
C
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 14 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
A.40
B.56
C.60
D.Data inadequate
Answer: B.56
Explanation: E+H+G+M/4âˆ’E+S+M+H/4=14
â‡’ G - S = 56
Answer B
Question: A train 150 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
A.20 sec
B.32 sec
C.36 sec
D.38 sec
Answer: A.20 sec
Explanation: Relative speed = (25+2) km/hr = 27 km/hr
= (27×5/18) m/sec = 15/2 m/sec.
Time taken by the train to pass the man =(150×2/15) sec=20 sec
ANSWER :A
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
A.60
B.30
C.50
D.40
Answer: A.60
Explanation: 12 * 80 = 16 * x
x = 60 days
ANSWER A
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
A.51 years
B.49 years
C.53 years
D.50 years
Answer: A.51 years
Explanation: Explanation:
average age of 36 students in a group is 14
Sum of the ages of 36 students = 36 × 14
When teacher's age is included to it, the average increases by one
=> average = 15
Sum of the ages of 36 students and the teacher = 37 × 15
Hence teachers age
= 37 × 15 - 36 × 14
= 37 × 15 - 14(37 - 1)
= 37 × 15 - 37 × 14 + 14
= 37(15 - 14) + 14
= 37 + 14
= 51
Answer: Option A
Question: If x and y are positive integers and y ≠ 1, then xy(y −1) is
A.Always even
B.Always odd
C.Odd only when x is odd
D.Even only when y is even
Answer: A.Always even
Explanation: Expression is xy(y-1). We can ignore x and only work with y.
If y = even -> entire expression is even since anything multiplied by even is even
If y = odd, y-1 -> even -> entire expression is even since anything multiplied by even is even
Hence, entire expression will always be even.
Answer (A).
Question: n is an integer chosen at random from the set
{1, 5 , 9, 11 }
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 15 ?
A.0.1
B.0.2
C.0.15
D.0.3
Answer: C.0.15
Explanation: Set N: there is 4 ways to chose a number
Set P: there is 5 ways to chose a number
so total outcome is 4*5 = 20 which is represent 20 pairs of number
now we have 3 pairs can give us 15 which are (1,14),(5,10) and (9,6) .
3/20 = 0.15
Answer C
Question: If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
A.33
B.38
C.60
D.88
Answer: C.60
Explanation: Explanation:
Let the required no of hours be x. Then
Less men , More hours (Indirct Proportion)
\inline \fn_jvn \therefore 15:36 ::25:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{15}=60
Hence, 15 men can do it in 60 hours.
Answer: C
Question: Find the remainder when 3^27 is divided by 5?
A.3
B.2
C.4
D.1
Answer: B.2
Explanation: Solution : 3^27= ((3^4)^6) * (3^3) = (81^6) * 27 then unit digit of (81^6) is 1 so on multiplying with 27,
unit digit in the result will be 7. now, 7 when divided by 5 gives 2 as remainder.
Answer B
Question: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 2a + 22b?
A.-4
B.-2
C.- 80
D.2
Answer: C.- 80
Explanation: This implies 9a - b = 10b + 80, 9a -b = -12b -2a, 10b + 80 = -12b -2a
Manipulating the second equation gives us 10b + 80 = -12b - 2a ==> 2a + 22b = - 80
Answer is C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
A.456
B.234
C.285
D.342
Answer: C.285
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2
Answer: Option C
Question: A trader sells two brands of petrol; one is Extra Premium and other one is speed. He mixes 12 litres Extra Premium with 3 litres of speed and by selling this mixture at the price of Extra Premium he gets the profit of 9.09. If the price of Extra Premium Rs. 48 per litre, then the price of Speed is:
A.Rs. 38 per litre
B.Rs. 42 per litre
C.Rs. 28 per litre
D.Rs. 28 per litre
Answer: C.Rs. 28 per litre
Explanation: Solution: Selling price mix EP,
= (CP + 9.09% of CP)
48 = 12/11 of CP
CP = 44
No, using Alligation method,
MCQ Aptitude Profit and Loss11
4:1 Thus,
X = 44
Thus, the price of speed brand is Rs. 28/litre.
Answer: Option C
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A.3 kmph
B.1.5 kmph
C.13 kmph
D.6.5 kmph
Answer: B.1.5 kmph
Explanation: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
ANSWER:B