RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If the ratio of the roots of the equation 2x2-6x+q=0 is equal to that of the roots 3x2-6x+s=0, then:
A.2s=q
B.s=q
C.2q=s
D.4s-q
Answer: B.s=q
Explanation: 2x2-6x+q=0 for this eqn... roots are R1=6/2=3 R2=-q/2
3x2-6x+s=0 for this eqn... roots are R3=6/3=2 R4=-s/3
As per Question, 3/(-q/2)=2/(-s/3)
=> s=q
ANSWER:B
Question: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?
A.524
B.693
C.731 is answer
D.970
Answer: C.731 is answer
Explanation: Is the answer bank correct? Shouldn't option C be 713? C
Question: A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
A.2 m
B.3 m
C.4 m
D.7 m
Answer: D.7 m
Explanation: Let radius of the outer circle be R and radius of the inner circle be r.
Circumference of the outer circle =
Circumference of the inner circle =
But,
or, R - r =
Thus, width of the road = 7 m
D
Question: A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 8 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
A.2
B.9
C.6
D.21
Answer: C.6
Explanation: Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes.
Then under plan A the cost would be $0.6+0.06(t-8) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-8)=0.08t --> 60+6(t-8)=8t --> t=6.
Answer: C.
Question: A man has about 4 children and 16 apples.He cuts the apple into quarter pieces and distribute them among the Children.One of the children eats one apple and returns remaining to the father.The father now distribute it among remaining.How many pieces does each of remaining child have?
A.24
B.25
C.20
D.36
Answer: C.20
Explanation: Each one gets 4 apples at first.One of them is eaten and 3 gets returned to father who distribute it again .So 3 apples get distributed among 3 children who get total of 5 apples.The apple is cut into a quarter.Thus 5*4=20 pieces.Answer:C
Question: If Q= x^4 + y^4 = 100, then the greatest possible value of x is between
A.0 and 3
B.3 and 6
C.6 and 9
D.9 and 12
Answer: B.3 and 6
Explanation: My attempt:
If Q=x^4+y^4=100, then the greatest possible value of x would be when y is minimum.
Let y^4 be 0. Now x^4 = 100. x should be definitely greater than 3 but less than 4. The only option that fits this range is B
Hence answer is --
b) 3 and 6.
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A.12 liters.
B.10 liters.
C.10 liters.
D.16 liters.
Answer: C.10 liters.
Explanation: Explanation:
Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.
Answer: Option C
Question: 2ab5 is a four digit number divisible by 25. If a number formed from the two digits ab is a multiple of 13, then ab is
A.52
B.27
C.20
D.26
Answer: A.52
Explanation: For a number to be divisible by 25, last two digits of that number should be divisible by 25. So b must be either 2 or 7
it is given that ab must be divisible by 13 and in the options only 52 is divisible by 13.
Answer:A
Question: Find the value for m?
19(m + n) + 17 = 19(-m + n) - 173
A.0
B.-1
C.-5
D.2
Answer: A.0
Explanation: 19m + 19n + 17 = -19m + 19n - 173
38m= -190 => m = -5
A
Question: A water tank has three taps A, B and C. Tap A, when opened,can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 3 hours. If taps A, B and C are opened simultaneously, how long will it take to fill the tank completely?
A.10 hours
B.8 hours
C.18 hours
D.12 hours
Answer: D.12 hours
Explanation: Required time to fill the tank
= 1 /(1/4+1/6)−1/3=1 /5/12−1/3=1 /1/12=12h
Answer D
Question: Martha has 3 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
A.8
B.9
C.10
D.14
Answer: D.14
Explanation: 5 dogs, 4 cats; park/barber shop
1 dog - 2 options - either park or barber shop, so, 3 dogs - 6 options and 4 dogs - 8 options.
Total = 14 options.
D
Question: On simplification, 3500 – (1000 ÷ 20.50) is equal to :
A.3451.21
B.3451.29
C.3451.223
D.3451.28
Answer: A.3451.21
Explanation: Explanation:
Given exp. = 3500 - ((1000 ÷ 2050) * 100)
= 3451.21
ANSWER: A
Question: The average age of 20 men in the class is 17.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
A.15.5
B.7.4
C.15.25
D.15.3
Answer: B.7.4
Explanation: Total age of 20 men = 17.6 x 20 = 352
Now, total age of 25 men = 389.
Total age of five men added later = 389 - 352 = 37.
Hence, the total average of five men = 37/5 = 7.4
ANSWER:B
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 25km/hr, the time taken by the car to cover the same distance will be?
A.1hr
B.1hr 20min
C.50min
D.1hr 30min
Answer: B.1hr 20min
Explanation: Speed = 100/1 = 100km/hr
New speed = 100-25 = 75 km/hr
Time taken = 100/75 = 1hr 20min
Answer is B
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 12 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
A.37.5 kilometers per hour
B.48.4 kilometers per hour
C.50 kilometers per hour
D.75 kilometers per hour
Answer: B.48.4 kilometers per hour
Explanation: Time taken to reach first 40 km is 40/60 = 2/3 hr
Time taken to reach next 40 km is 40/60 = 2/3 hr
Time taken to reach next 20 km is 20/60 = 1/3 hr
Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...
Each stop was of 12 min , so two 12min break = 2*1/5 => 2/5 hr
Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+2/5 ) = 31/15 hrs
So, Average speed is 100/(31/15) = 48.4km/hour
Answer will be B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.1526
C.5625
D.1090
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Question: The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
A.176.5 cm
B.175.5 cm
C.174.5 cm
D.173.5 cm
Answer: B.175.5 cm
Explanation: The total height was 45 cm too much.
The average height should be reduced by 45 cm/30 = 1.5 cm
The answer is B.
Question: A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got $242. What is the share of C?
A.$25
B.$48
C.$44
D.$49
Answer: C.$44
Explanation: C
$44
The ratio of their working rates = 1/7 : 1/14 : 1/21 = 6 : 3 : 2.
Since, they work together, the share of C
= 2/11 * 242 = $44
Question: How many cubes of 2cm edge can be cut out of a cube of 24cm edge
A.1136
B.1728
C.1216
D.1484
Answer: B.1728
Explanation: Explanation:
number of cubes=(24 x 24 x 24) / (2 x 2 x 2) = 1728
Answer: B
Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,800 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,800 unit total would it produce?
A.25
B.33
C.30
D.67
Answer: C.30
Explanation: 1/A+1/B= 1/T
1/A +1/12= 1/8 (50% more of 8 is 12)
1/A= 1/24
Machine A can produce 1800 units in 24 hrs, so it can produce 1800*8/24= 600 units is 8 hrs.
600 is 30% of 1800.
C is the answer
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 10%. Their gross income from sales for one month decreases by what percent?
A.1%
B.3%
C.5%
D.7%
Answer: A.1%
Explanation: Let P be the original price and let x be the number of items sold originally.
The original income is P*x.
After the changes, the income is 0.9P*1.1x = 0.99*(P*x), a decrease of 1%.
The answer is A.
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.2:5
B.2:3
C.2:8
D.2:1
Answer: D.2:1
Explanation: 5M + 2B = 4(1M + 1B)
5M + 2B = 4M + 4B
1M = 2B
The required ratio of work done by a man and a boy = 2:1
Answer:D
Question: A train 100 meters long completely crosses a 300 meters long bridge in 30 seconds. What is the speed of the train is?
A.32 kmph
B.48 kmph
C.34 kmph
D.43 kmph
Answer: B.48 kmph
Explanation: S = (100 + 300)/30
= 400/30 * 18/5
= 48
Answer:B
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A.96
B.720
C.120
D.6
Answer: B.720
Explanation: Consonants = L D N G (4)
Vowels = E A I (3)
No of ways the all vowels can be together is arranged by , -
we can arrange EAI together , this can be done by 3! = 6 ways
Now arrange consonants LNDG
LNDG can arrange in 5! = 120 ways
Required no of ways = 120 * 6
= 720
Ans- B
Question: Find the number of ways in which four men, two women and a child can sit at a table if the child is seated between two women.
A.12
B.24
C.36
D.48
Answer: D.48
Explanation: The number of arrangements of n distinct objects in a row is given by n!n!.
The number of arrangements of n distinct objects in a circle is given by (n−1)!(n−1)!.
We have M, M, M, M, W, W, C --> glue two women and the child so that they become one unit and the child is between women: {WCW}. Now, these 5 units: {M}, {M}, {M}, {M}, {WCW} can be arranged around the table in (5-1)!=4! ways and the women within their unit can be arranged in 2 ways {W1, C, W2} or {W2, C, W1} so total # of arrangement is 4!*2=48.
Answer: 48. ANSWER:D
Question: P and Q started a business investing Rs. 54,000 and Rs. 18,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
A.3:1
B.4:3
C.5:4
D.6:5
Answer: A.3:1
Explanation: P:Q = 54000 : 18000
= 3:1.
Answer:A
Question: The sum of the two numbers is 13 and their product is 35. What is the sum of the reciprocals of these numbers?
A.12/35
B.13/35
C.35/8
D.7/32
Answer: B.13/35
Explanation: Let the numbers be a and b. Then, a+b=13 and ab =35.
a+b/ab=13/35; (1/b+1/a)=13/35
Sum of reciprocals of given numbers=13/35.
Correct Option: B
Question: Three numbers are in the ratio 3 : 4 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 42. Find the third number?
A.A)54
B.B)75
C.C)24
D.D)46
Answer: C.C)24
Explanation: Let the numbers be 3x, 4x, 8x.
Largest number = 8x.
Smallest number = 3x.
Third number = 4x.
8x + 3x = 4x + 42
7x = 42 =>x=6
4x=24 =>third number is 24.
Answer:C
Question: Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 500 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 2.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
A.40
B.30
C.60
D.80
Answer: A.40
Explanation: Say, if speed is 40, 500/40 = 12.5 hrs and 500/50 = 10 hrs (a reduction of 12.5 hr -> Correct answer)
Answer (A)
Question: When n is divided by 48, the remainder is 6. What is the remainder when 4n is divided by 8?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Let n=6 (leaves a remainder of 6 when divided by 48)
4n = 4(6) =24, which leaves a remainder of 0 when divided by 8.
Answer A
Question: Each side of a certain parallelogram has length 6. If the area of the parallelogram is 24. Which of the following is the measure of one of its angles?
A.30
B.42
C.60
D.90
Answer: B.42
Explanation: Ans is 30deg
area of a parallelogram = b*h
b*h=24
h=24/6=4
sin theta =opp/hyp= 4/6 = 2/3
theta = sin inv of 2/3=42 deg
B
Question: In a Quiz the points in each round for the first,second,third and fourth position were 100,50,20,10 . No other points were given. Rachel participated in several rounds in the competition and the product of her score was 10000. In How many rounds did she participate?
A.2
B.Cannot be determined
C.4
D.6
Answer: B.Cannot be determined
Explanation: Correct answer is B because we are given that there won't be any points awarded for rounds other than 1st four position.
Thus, it may happen that she played 150 rounds out of only 8 rounds were there in which she was awarded some points.
Question: How many integers less than 100 have exactly 4 odd factors but no even factors?
A.11
B.13
C.15
D.17
Answer: D.17
Explanation: Two cases are possible:
x1y1=xy=odd<100x1y1=xy=odd<100, where xx and yy are odd prime numbers, then # of factors will be (1+1)(1+1)=4(1+1)(1+1)=4;
If x=3, then y can be: 5, 7, 11, 13, 17, 19, 23, 29, 31 - 9 numbers.
If x=5, then y can be: 7, 11, 13, 17, 19 - 5 numbers.
If x=7, then y can be: 11, 13 - 2 numbers.
OR:
x3=odd<100x3=odd<100, where xx is odd prime number, then # of factors will be (3+1)=4(3+1)=4.
x can be only 3 - 1 number.
Total 9+5+2+1=179+5+2+1=17 .
Answer: D.
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 50 men left the fort. The number of days for which the remaining food will last, is:
A.29 1/5
B.37 1/4
C.42
D.5 1/4
Answer: D.5 1/4
Explanation: After 10 days : 150 men had food for 35 days.
Suppose 100 men had food for x days.
Now, Less men, More days (Indirect Proportion)
Therefore 100 : 150 :: 35 : x <=> 100 x x = 150 x 35
=> x =150 x 35/100
=> x = 5 1/4.
Correct answer is D
Question: If q = 20! + 17, then q is divisible by which of the following?
I. 15
II. 17
III. 19
A. None
B. I only
C. II only
D. I and II
Answer: C. II only
Explanation: Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So q!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 15 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.50
C.60
D.Data inadequate
Answer: C.60
Explanation: E+H+G+M/4−E+S+M+H/4=15
⇒ G - S = 60
Answer C
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum m of all the even integers between 99 and 301?
A.10,100
B.20,200
C.22,650
D.40,200
Answer: B.20,200
Explanation: I would solve it in a different way.
First of all, total number of even integers between 99 and 301 are, (301-99)/2 = 202/2=101
Average = (301+99)/2 = 400/2 = 200
Sum m= Average*total count = 200*101 = 20,200
Answer is B
Question: A computer can perform x calculations in s seconds. How many minutes will it take the computer to perform k calculations?
A.60ks/x
B.ks/x
C.ks/60x
D.60x/ks
Answer: C.ks/60x
Explanation: As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.
We're told that a computer can perform X calculations in S seconds.
Let's TEST....
x = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute
We're asked how many MINUTES it will take to perform K calculations.
Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...
K = 80
So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80
Answer A: 60KS/x = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: KS/x = (80)(3)/2 = 120 This is NOT a match
Answer C: KS/60x = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60x/KS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: K/60xS = 80/(60)(2)(3) = a fraction. This is NOT a match
C
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 348, the cost of the article is
A.289
B.231
C.200
D.40
Answer: D.40
Explanation: Explanation:
Let C.P. be Rs. x.
Then, 5% of x = 350 - 348 = 2
x/20 = 2 => x = 40
Answer: D
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.17 1/7 days
B.5 days
C.6 days
D.9 days
Answer: A.17 1/7 days
Explanation: Explanation:
1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
Answer: A
Question: Car Dealership X, the total profit from sales increased by 15 percent over the previous years, while the number of cars sold decreased by 15 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
A.18%
B.20%
C.22%
D.35.29%
Answer: D.35.29%
Explanation: Let Profit be x and cars sold be y
Originally Profit/Car = x/y
Now it is 1.15x / 0.85 y = 115/85 (x/y)
Increase in profit per car = ((30/85) (x/y)) / (x/y) * 100 = 35.29%
Answer = D
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 5 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
A.5
B.6
C.15
D.20
Answer: B.6
Explanation: Audery and Ferris collective Work rate:
1/4 + 1/3 = 7/12
Collective work Time = 12/7 = 1.7 Hrs
Job Was actually done in = 2 (Includes breaks)
Breaks = Actual time taken - Collective work time
= 2 - 1.7
= .3 Hrs = 1/2
so ferrais took 5 breaks
=.3/5=.06 hrs = 6 m
so Answer is B) 10 mins
Question: In a G6 summit held at london. A french, a german, an italian, a british, a spanish, a polish diplomat represent their respective countries. (i) Polish sits immediately next to british (ii) German sits immediately next to italian, British or both (iii) French does not sit immediately next to italian (iv) If spanish sits immediately next to polish, spanish does not sit immediately next to Italian Which of the following does not violate the stated conditions?
A.DKSOO
B.UDFHD
C.DKJHIU
D.FSPBGI
Answer: D.FSPBGI
Explanation: FSPBGI
Answer:D
Question: A is thrice as good as B. A is able to finish a job in 60 days less than B.Theycan finish the work in how many days if they work together.
A.21 days
B.21 ½ days
C.22 days
D.22 ½ days
Answer: D.22 ½ days
Explanation: If A completes a work in 1 day, B completes the same work in 3 days
Hence, if the difference is 2 days, B can complete the work in 3 days
=> if the difference is 60 days, B can complete the work in 90 days
=> Amount of work B can do in 1 day= 1/90
Amount of work A can do in 1 day = 3 × (1/90) = 1/30
Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45
=> A and B together can do the work in 45/2 days = 22 ½ days
D
Question: If
1 = 6 ,
2 = 12 ,
3 = 18,
4 = 24,
5 = 30,
Then 6 = ?
A.5
B.3
C.1
D.7
Answer: C.1
Explanation: Solution:
1
As stated
1=6 => 6=1
Answer C
Question: The cost price of a radio is Rs.1590 and it was sold for Rs.1450, find the loss %?
A.8%
B.12%
C.10%
D.14%
Answer: A.8%
Explanation: 1590 ---- 140
100 ---- ? => 8%
Answer:A
Question: A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 15 km/hr. What was the average speed for the whole journey?
A.20 km/h
B.22 km/h
C.24 km/h
D.26 km/h
Answer: C.24 km/h
Explanation: time 1 = d / 60
time 2 = d / 15
total time = d/60 + d/15 = 5d/60 = d/12
average speed = total distance / total time = 2d / (d/12) = 24 km/h
The answer is C.
Question: In a class of 250 students, on JAN 2 15% of the girls and 10% of the boys are absent. If on 100% attendance there are 10 boys. Find the percentage present?
A.81.2%
B.82.2%
C.84.2%
D.85.2%
Answer: D.85.2%
Explanation: The reason is explained below:
on 100% attendance,toital no of boys=10
that means there are 240 girls and 10 boys in a class
if 10% boys are absent, then it means that 1 boy is absent
if 15% of girls are absent, then it means that (15/100)*240=36 girls are absent
therefore no of students present=250-(1+36)=250-37=213
% of no of students present=(213/250)*100=85.2%
ANSWER:D
Question: If two typists can type two pages in two minutes, how many typists will it take to type 25 pages in five minutes?
A.3
B.4
C.10
D.12
Answer: C.10
Explanation: In 2 minutes 2 typists type 2 pages which means that in 5 minutes they will type 5 pages but to type 25 pages (5 times) we need 5 times more typists i.e. 2 x 5 = 10 typists.
C
Question: A restaurant meal cost $32.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
A. $40 and $42
B. $39 and $41
C. $38 and $40
D. $36 and $38
Answer: D. $36 and $38
Explanation: The total amount for the meal was between 32.5*1.1=35.75 and 32.5*1.15=37.375. Only option which covers all possible values of the meal is D.
Answer: D.
Question: Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onward, would the tank be full?
A.2
B.3
C.1/2
D.1/4
Answer: A.2
Explanation: Explanation :
Rate of filling tap A = 1/4 per hr
Rate of emptying of tap B = 1/8 per hr
When both the taps remain open, the effective rate of filling
= 1/4 - 1/8 = 1/8 of the tank
Hence in 4 hr, the tank must have been full to the
Extent of 4 x 1/8 = 1/2 Capacity
Remaining volume = 1/2 capacity
Now emptying tap is closed rate of filling would be 1/4 per hr
Time reqd. to fill = Empty volume/Filling rate
= (1/2)/(1/4) = 2 hrs
Answer : A
Question: A parking garage rents parking spaces for $10 per week or $40 per month. How much does a person save in a year by renting by the month rather than by the week?
A. $40
B. $160
C. $220
D. $240
Answer: A. $40
Explanation: 10$ per week!
An year has 52 weeks.
Annual charges per year = 52* 10 = 520$
30$ per month!
An year has 12 months.
Annual charges per year = 12 * 40 = 480$
520 - 480 = 40
Ans A
Question: A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 36.Find the number of notes of Rs.50 denomination.
A.15
B.21
C.17
D.19
Answer: C.17
Explanation: Total Money = Rs. 10350.
Let 50 rupees note was X.
Then 500 rupees note = 36 - X
Now,
50*X + 500 * (36 - X) = 10350
50X + 18000 - 500X = 10350
- 450X = - 7650
X = 17.
No. of 50 rupees note = 17.
Answer: Option C
Question: A bowl of fruit contains 10 apples and 23 oranges. How many oranges must be removed so that 50% of the pieces of fruit in the bowl will be apples?
A. 3
B. 13
C. 14
D. 17
Answer: B. 13
Explanation: Number of apples = 10
number of oranges = 23
let number of oranges that must be removed so that 50% of pieces of fruit in bowl will be apples = x
Total number of fruits after x oranges are removed = 10+(23-x) = 33-x
10/(33-x) = 5/10
=>20 = 33-x
=>x= 13
Answer B