RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Which of the following has fractions in ascending order?
A.2⁄5, 3⁄5, 1⁄3, 4⁄7, 5⁄6, 6⁄7
B.1⁄3, 2⁄5, 3⁄5, 5⁄6, 4⁄7, 6⁄7
C.1⁄3, 2⁄5, 3⁄5, 4⁄7, 5⁄6, 6⁄7
D.1⁄3, 2⁄5, 4⁄7, 3⁄5, 5⁄6, 6⁄7
Answer: D.1⁄3, 2⁄5, 4⁄7, 3⁄5, 5⁄6, 6⁄7
Explanation: 1⁄3 = 0.33; 2⁄5 = 0.4; 4⁄7 = 0.57; 3⁄5 = 0.6; 5⁄6 = 0.83 and 6⁄7 = 0.85
Answer D
Question: The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
A.159
B.377
C.888
D.266
Answer: A.159
Explanation: Explanation:
Average height of the whole class =(36×160+10×15640)=159(36×160+10×15640)=159 cms
Answer:A
Question: The ratio of the radius of two circles is 5: 3, and then the ratio of their areas is?
A.1: 8
B.1: 6
C.25: 9
D.1: 3
Answer: C.25: 9
Explanation: r1: r2 = 5: 3
Πr12: Πr22
r12: r22 = 25: 9
Answer:C
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.11758
B.11756
C.11753
D.11750
Answer: D.11750
Explanation: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750
Answer: D
Question: A vendor bought toffees at 6 for a dollar. How many for a dollar must he sell to gain 20%?
A.7
B.6
C.5
D.9
Answer: C.5
Explanation: C
5
C.P. of 6 toffees = $ 1
S.P. of 6 toffees = 120% of $ 1 = $ 6/5
For $ 6/5, toffees sold = 6. For $ 1.
Toffees sold = 6 * 5/6 = 5
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 40 liters and they are all empty, how much money total will it cost to fuel all cars?
A.333$
B.380$
C.420$
D.450$
Answer: A.333$
Explanation: Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 40 ) = 21 + 312 => 333
Hence answer will be (A) 333
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−2, −3)?
A.4
B.2
C.0
D.−2
Answer: A.4
Explanation: slope = rise/run = 6/12 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b = -2
The equation of the line is y = (1/2)x - 2
To find the x-intercept, let y = 0:
0 = (1/2)x - 2
x = 4
The answer is A.
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 30 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
A.90
B.45
C.50
D.55
Answer: A.90
Explanation: A- B = 120 Miles
B - C = 60 Miles
Avg Speed = 30 Miles
Time taken for A-B 3t and B-C be t
avg speed = (120+60) / Total time
30 = 180/4t
t = 90
B-C = 90mph
Answer A
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
A.46
B.83
C.45
D.53
Answer: A.46
Explanation: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.
Answer:A
Question: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Explanation:
Let the numbers be 13a and 13b.
Then, 13a * 13b = 2028
=> ab = 12. Now, co-primes with product 12 are (1, 12) and (3, 4).
So, the required numbers are (13 * 1, 13 * 12) and (13 * 3, 13 * 4).
Clearly, there are 2 such pairs.
ANSWER IS B
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 360 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
A.23%
B.12%
C.10%
D.34.1%
Answer: C.10%
Explanation: C
C.P. of 1 toy = 360/12 = Rs. 30
S.P of 1 toy = Rs. 33
Profit = 3/31.25 * 100 = 10%
Question: What is the least integer greater than –2+0.5?
A.–2
B.–1
C.0
D.1
Answer: B.–1
Explanation: irst, let's take care of the Arithmetic:
(-2) + (0.5) = -1.5
On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from -2 to -1.5).
Next, the question asks for the LEAST integer that is GREATER than -1.5
Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of -1.5 is -1.
Final Answer:B
Question: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
A.814
B.820
C.840
D.844
Answer: A.814
Explanation: Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 × 41) cm2
Answer: A
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 12:40 a.m., how long will the conference last if there are a total of 6 seminars that day?
A.hours and 15 minutes
B.hours and 20 minutes
C.hours and 25 minutes
D.hours and 30 minutes
Answer: B.hours and 20 minutes
Explanation: Well its like this S B S B S B S B S B S
the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5=150
Time of 1 seminar =150 /3=50 min .
So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 20 min .
Answer is B.
Question: When which digit in 467*15*23 is added 1, the product changes by least value?
A.1
B.2
C.6
D.7
Answer: D.7
Explanation: let volume of cuboid = 8*9*10 =720
which value(8/9/10) should be added 1 so the net result is least affected.
let add 1 to 8
vol= 9*9*10= 810 (change from original = 810-720 = 90)
let add 1 to 9
vol: 8*10*10 = 800 (change from original = 800-720 = 80)
let add 1 to 10
vol = 8*9*11 = 792 (change from original = 792-720 = 72)
so take away:
in order to have least effect always change the maximum value.
now in our example to have least effect on 467∗15∗23467∗15∗23
we need to keep 2 thing in mind
1)change the unit digit(Because if you change tens or hundred place then it will have larger effect that's common sense)
2)change the biggest number
so biggest number is 467 and unit digit of this 7.
ANSWER:D
Question: A man got killed in his office. The suspects are Edison, Maxis, Jason, Janna, Sofia.
A calendar near the man has blood, written 6, 4, 9,
10, 11.
Who is the killer?
A.Jason
B.Janna
C.Sofia
D.Edison
Answer: A.Jason
Explanation: Jan:1
Feb:2
March: 3
April:4
...
...
June:6
and so on...j = june(6)
a = april(4)
and...
ANSWER:A
Question: If |x+y|=|x-y|, then x*y must be equal to:
A.-1
B.1
C.2
D.0
Answer: D.0
Explanation: Solution 1: Distance perspective
|x-y| = |x+y| ==> The distance of x and y is equal to the distance of x and -y.
<=======(-y)=======0=======(y)======>
Only 0 is the value that has a distance equal to y and -y.
Solution 2:
|x-y| = |x+y| (square both)
x^2 -2xy + y^2 = x^2 + 2xy + y^2
4xy = 0
xy = 0
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.112
B.177
C.127
D.150
Answer: D.150
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time)
= (50/3 * 9) m
= 150 m.
Answer:D
Question: At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score D of team B?
A.1)8
B.2)10
C.3)20
D.4)40
Answer: A.1)8
Explanation: A to B = 3 : 4
So, on doubling we get 6 : 4
A to C = 3 : 5
So, on halving we get 1.5 : 5 or 3 : 10 or 6 : 20
So final ratio = 6 : 4 : 20.
If 20x = 40
4x = 8
Hence, answer is A
Question: If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 > 0
III	2n - 1 > 0
A.I only
B.II only
C.III only
D.I and II only
Answer: C.III only
Explanation: I. False for all values of n except 1
When n = 1 ; n^2 = 1
II. False for all values of n except 1
When n = 1 ; n - n^2 = 1 - 1 =>0
III	True for all values of n
Hence the correct answer will be (C)
Question: x=2+2^(2/3)+2^(1/3), then what is the value of x^3-6x^2+6x? here X^Y indicates X to the power Y.
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: Given that x = 2 + 2^(2/3) + 2^(1/3)
so x - 2 = 2^(2/3) + 2^(1/3)
or (x-2)^3 = [2^(2/3)+2^(1/3)]^3
or x^3 - 8 - 6x(x-2) = 2^2 + 2^1 + 3*[2^{(2/3)+(1/3)}[2^(2/3)+2^(1/3)
or x^3 - 8 - 6x^2 + 12x = 4 + 2 + 6(x-2)
or x^3 - 8 -6x^2 + 12x = 6 + 6x - 12
or x^3 - 6x^2 +6x = 2
ANSWER:A
Question: A rectangular cube has a volume of 11 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
A.24
B.48
C.64
D.88
Answer: D.88
Explanation: Lets say the sides of the rectangular cube are x, y and z. Problem states volume is 11.
i.e,
x*y*z = 11.
If every side is increased twice as before. then new volume is
2x*2y*2z = 8*(x*y*z) = 8*11 = 88.
Answer is D
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?
A.60.5
B.69.5
C.64.5
D.62.5
Answer: C.64.5
Explanation: CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(92/100) = 59.375
MP = 64.5
Answer:C
Question: There are 6 different travelers who each have a choice of vacationing at one of 10 different destinations. What is the probability that all 6 travelers will end up vacationing at the same destination?
A.0.1
B.0.001
C.0.0002
D.1.0e-05
Answer: D.1.0e-05
Explanation: Prob that traveler 1 will choose 1st place(any particular place) out 10 places = 1/10
Prob that traveler 2 will choose same place out 10 places = 1/10
......
Total = 1/10 * ... 1/10 (6 times)
= 1/10^6
But this can happen for all of the 10 places.
So Prob = 10/(10^6) = 1/10^(6-1)
=0.00001
Answer - D
Question: Two teams participating in a competition had to take a test in a given time. Team
B chose the easier test with 300 questions, and team A the difficult test with 10%less questions. Team A completed the test 3 hours before schedule while team B completed it 6 hours before schedule. If team B answered 7 questions more than
team A per hour, how many questions did team A answer per hour?
A.16
B.17
C.18
D.19
Answer: C.18
Explanation: If t hrs is normal time,
then
270/(t-3) + 7 = 300/(t-6)
so t = 18
so Qns done by team A per hour = 270/15 = 18 qns.
ANSWER:C
Question: There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
A.6
B.21
C.28
D.7
Answer: A.6
Explanation: only A1 have to hand shake,so A1 can hand shake with remaining 6 person.
ANSWER:A
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7380 km and comes back to the starting point. The total time taken by him is:
A.914.2 hours
B.937.1 hours
C.915 hours
D.905 hours
Answer: B.937.1 hours
Explanation: Explanation:
Speed downstream = (16 + 2) = 18 kmph
Speed upstream = (16 - 2) = 14 kmph
Total time taken = 7380/18 + 7380/14 = 410 + 527.1 = 937.1 hours
Answer: Option B
Question: Of the employees in a company, 30 % are female who have a master degree. If 50 % of the female employees do not have a master degree, what percent of the employees in the company are female?
A.50%
B.70%
C.60%
D.66%
Answer: C.60%
Explanation: Let E be total no. of employees and F be total no of female employees.
Question asked what is F/E X 100%?
No. of female employees with Masters = 0.3 x E (From the question)
No. of female employees without masters = 0.5 x F (From the question)
Therefore No. of female employees with masters = F - 0.5 F = 0.5 F
The 2 expressions equal each other therefore 0.5F = 0.3E; F/E = 0.3/0.5 = 60%
Ans: C
Question: At a party, every two people shook hands once. How many people
attended the party if there were 66 handshakes?
A.12
B.22
C.33
D.65
Answer: A.12
Explanation: If there are n people at the party, then each of the n people will shake hands
with n -1 other people. Since each handshake accounts for a handshake that each of two
people have made (i.e., since there are two people involved with each handshake), the total
number of handshakes the n people will make is n(n-1)=2. (Alternatively, the number
of handshakes is the number of ways of choosing 2 people from among n people, which is
-n
2 =n(n-1)=2.) Hence, we have n(n-1)=2 = 66 = 12 11=2, so n = 12.
correct answer A
Question: What is 982*982?
A. 964,169
B. 964,219
C. 964,324
D. 975,019
Answer: C. 964,324
Explanation: if you take a base of 1000 then 982 is 18 less than 1000
to get the product of 982 x 982 write like this
982- 18( as 18 less than base1000)
982- 18
now 18 x 18 = 324
and 982-18 = 964
so 982 x 982 = 964324 ... (bingo the answer is C . you can even have a shortcut ...... 18 x 18 = 324 ... only answer choice has last three digits as 324.. so no need to calculate 982-18 . after you get 18 x 18 you can straight way pick answer choice C.
Question: 852.68 âˆ’ 4.0 + 108.98 = ? âˆ’ 2132.54
A.6078.58
B.6078.08
C.6258.58
D.6088.58
Answer: B.6078.08
Explanation: Option 'B'
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
A.11
B.10
C.88
D.17
Answer: B.10
Explanation: D = 110 – 20 = 90
RS = 20 + 25 = 45
T = 90/45 = 2 hours
8 a.m. + 2 = 10 a.m.
Answer: B
Question: What was the difference between the total monthly salary of Arun in all the years together and Suman's monthly income in the year 2007 ?
A.23
B.33
C.25
D.26
Answer: B.33
Explanation: Answer:B
Question: Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 35?
A.3
B.12
C.18
D.22
Answer: C.18
Explanation: The theory says:
if a # x is devided by y and leave the positive # r as the remainder then it can also leave negative # (r-y) as the remainder.
e.g:
9 when devided by 5 leves the remainder 4 : 9=5*1+4
it can also leave the remainder 4-5 = -1 : 9=5*2 -1
back to the original qtn:
n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5
==> n leaves a remainder of -2 (i.e. 4-6) after division by 6 and a remainder of -2 (i.e. 3-5) after division by 5
==> n when devided by 5 and 6 leaves the same remainder -2.
what is n?
LCM (5,6)-2 = 30-2 = 28
CHECK: 28 when devided by 6 leaves the remainder 4 and when devided by 5 leaves the remainder 3
However, the qtn says n > 30
so what is the nex #, > 28, that can give the said remainders when devided by 6 and 5
nothing but 28 + (some multiple of 6 and 5) as thissome multiple of 6 and 5will not give any remainder when devided by 5 or 6 but 28 will give the required remainders.
hence n could be anything that is in the form 28 + (some multiple of 6 and 5)
observe thatsome multiple of 6 and 5is always a multiple of 30 as LCM (5,6) = 30.
hence when n (i.e. 28 + some multiple of 6 and 5) is devided by 30 gives the remainder 18.
C
Question: Charlie, a painter, has 9 jars of paint: 4 are Red, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no red paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of red paint 4) J2, if the paint contains exactly 1 jar of red paint What is the probability that the new colour will be a shade of J (J1 or J2)?
A.21/37
B.37/21
C.37/42
D.42/37
Answer: C.37/42
Explanation: the probability that it would be J1 or J2 is same as 1-()probability that it is C1 or C2
For C1-3C2(Brown)*2C1(Yellow)=3*2=6
For C2-3C3(all brown)=1
Total=9C3=84
1-7/84=77/84= 37/42
Answer : C
Question: A can do a piece of work in 28 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
A.3 days
B.5 days
C.6 days
D.7 days
Answer: D.7 days
Explanation: B's 9 day's work = 9 x (1/12) = 3/4
Remaining work = (1 - 3/4) = 1/4
1/4 work is done by A in = 28 x (1/4) = 7 days.
answer : D
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A.7/5
B.2/7
C.9
D.1/5
Answer: D.1/5
Explanation: Explanation:
WC = 3:1
WT = 1:3
x 3x
1/x â€“ 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 days.
Answer:D
Question: John paid a sum of money for purchasing 20 pens, which he recovered in full when he sold 10 of them. What was his percentage of profit or loss per pen?
A.100%
B.150%
C.90%
D.80%
Answer: A.100%
Explanation: A
100%
If the sum he paid whilst purchasing 20 pens = A,
Then the Cost Price of each pen = A/20.
Since the amount he got whilst selling 10 pens is also = A
Then the Selling Price of each pen = A/10.
Since Selling Price > Cost Price, he made a profit.
Profit per pen = Selling Price - Cost Price = A/10 -A/20= A/20.
Profit percentage per pen = Profit per pen / Cost per pen x 100 = (A/20) / (A/20) x 100 = 100%
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
A.27%
B.25%
C.21%
D.85%
Answer: B.25%
Explanation: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer:B
Question: The compound interest earned on a sum for the second and the third years are $1400 and $1512 respectively. What is the rate of interest?
A.5%
B.6%
C.7%
D.8%
Answer: D.8%
Explanation: 1512 - 1400 = 112 is the rate of interest on $1400 for one year.
The rate of interest = (100 * 112) / (1400) = 8%
The answer is D.
Question: Which of the following inequalities is always true for any real number 'x' and 'y'?
A.|x-y| < |x| +|y|
B.|x + y| > |y| + |x|
C.|x + y| <= |x| + |y|
D.|x - y| <= |x| - |y|
Answer: C.|x + y| <= |x| + |y|
Explanation: The answer is (C). One of the fundamental properties of absolute value, which is subadditivity, essentially means that evaluating the function for the sum of two elements (numbers) always returns something less than or equal to the sum of the function's values at each element; therefore, |x + y| <= |x| + |y|
Question: A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
A.327
B.140
C.277
D.178
Answer: D.178
Explanation: Let C.P. = Rs. x.
Then, S.P. = Rs. (12% of x) = Rs. 6x/5
New S.P. = 2 * 6x/5 = Rs. 12x/5
Profit = 12x/5 - x = Rs. 7x/5
Profit = 7x/5 * 1/x * 100 = 140%.\
Answer: D
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
A.3:6
B.3:9
C.3:5
D.3:1
Answer: D.3:1
Explanation: d = 3d d = d
a√2 = 3d a√2 = d
a = 3d/√2 a = d/√2 => 3:1
Answer: D
Question: If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
A.20
B.32
C.50
D.80
Answer: B.32
Explanation: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 4C3=4.
But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.
Total # of ways: 4C3*2^3=32.
Answer: B.
Question: When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
A.133 1/3 m
B.150 m
C.106 2/3 m
D.166 2/3 m
Answer: D.166 2/3 m
Explanation: 5% - 2% = 3%
3% ---- 5
100% ---- ? => 166 2/3
ANSWER:D
Question: If m/21 is an integer, then each of the following must be an integer EXCEPT
A.5/2
B.4
C.3
D.2
Answer: A.5/2
Explanation: Now plug m =21 into the answer choices:
A. (21- 28)/7 = -1. This is an integer
B. (21+ 21)/7 = 6. This is an integer
C. 14(21)/98 = 3. This is an integer
D. (21^2 - 49)/49 = 8. This is an integer
E. (21+ 14)/14 = 5/2. This is NOT an integer
Answer: A
Question: Find out the wrong term in the series 5, 10, 50, 500, 25000, 3000000
A.15,000,000
B.12,500,000
C.9,000,000
D.3,00,000
Answer: B.12,500,000
Explanation: Explanation:
Each number with in the series is the product of the two numbers that proceed it.
So, if (5 * 10 = 50) , then (500 * 25000 = 12,500,000). 12,500,000 should replace 3000000.
Answer: B) 12,500,000
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
A.36.5
B.35
C.34
D.33
Answer: A.36.5
Explanation: Correct sum = (36 * 50 + 48 - 23) = 1825.
Correct mean = 1825/50 = 36.5
ANSWER A
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 7 and then added to the smaller of the two original integers. Which of the following represents this operation?
A.16t-2
B.8t-2
C.-2
D.3
Answer: A.16t-2
Explanation: larger of 2t-2, 2t (when they are negative) is 2t. the smallest of 2t and 2t-2 when they are positive is 2t-2.
therefore 7* 2t + 2t-2 = 16t-2.
option A.
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 40 white marbles. How many red marbles could be in bag A?
A.8
B.3
C.4
D.6
Answer: A.8
Explanation: 6 is the answer.
Bag A-
R:W:B = 2:6:9
Let W in bag A be 6K
Bab B -
R:W = 1:3
Let W in bag B be 4k
W = 30 = 6K+4k=> k =40/10 =4
Total Red's in bag A will be 2K = 8
A
Question: Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
A.90
B.250
C.85
D.75
Answer: C.85
Explanation: Explanation:
Let x is the maximum marks of the examination
Marks that Arun got = 30 % of x = 30x/100
Given that Arun failed by 10 marks
⇒Minimum Pass Mark = 30x/100 + 10......(Equation 1)
Marks that Sujith got = 40 % of x = 40x/100
Given that Sujith got 15 marks more than the passing marks
⇒40x100=Minimum Pass Mark +15
⇒Minimum Pass Mark =40 x100 −15......(Equation 2)
From equations 1 and 2, we have
30 x 100 + 10 = 40x/100 − 15
⇒10x/100 = 10 + 15 = 25
⇒x/10 = 25
⇒ x = 10 × 25 = 250
⇒Maximum marks of the examination = x = 250
Substituting the value of x in Equation 1, we have
Minimum Pass Mark = 30x/100 + 10 = 30 × 250/100 + 10 = 75 + 10 = 85
Answer: Option C
Question: We had $350 left after spending 30% of the money that we took for shopping. How much money did we start with?
A.$440
B.$460
C.$480
D.$500
Answer: D.$500
Explanation: Let x be the amount of money we started with.
0.7x = 350
x = 500
The answer is D.
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/18%
B.18 2/11%
C.18 2/31%
D.18 4/11%
Answer: B.18 2/11%
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B