RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Krista, a personal trainer, is buying energy drinks for her clients. If she has $20 on hand, which of the following options could Krista NOT buy if:
Rock Star = $2.00
Red Bull = $3.25
Monster = $2.50
NOs = 1.25
A.5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25)
B.8 Monster's (17.50)
C.1 Rockstar, 4 Red Bulls & 4 No's (20)
D.10 Rock Stars (20)
Answer: A.5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25)
Explanation: The Correct Answer would exceed the $20 Krista had on hand.
A= $20.25 (exceeds budget by 25 cents)
B= $20
C= $20
D= $20
E= $20
The Correct answer is A
Question: two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9pm and 10pm. the first person to come waits for some time and leaves.If the other one does not turn up by that time.If Deepak comes first,he waits for 45minutes and if Rajeev comes first,he waits for 15minutes.What is the probability of meeting between Deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random?
A.3/4
B.11/16
C.7/8
D.3/16
Answer: D.3/16
Explanation: deepak : 45/60 = 3/4
rajeev : 15/60= 1/4
as these are independent events
total probability = (3/4)*(1/4)
= 3/16
ANSWER:D
Question: The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference q would have been how much?
A.40/3
B.40
C.120
D.360
Answer: D.360
Explanation: CASE 1:
Deposit = $x;
Rate of increase = r.
Interest yearned in 1 year = xr. Deposit in 1 year = x + xr.
Interest yearned in 2 year = (x + xr)r.
The difference q= (x + xr)r - xr = xr^2 = 40.
CASE 2:
Deposit = $x;
Rate of increase = 3r.
Interest yearned in 1 year = x(3r). Deposit in 1 year = x + 3xr.
Interest yearned in 2 year = (x + 3xr)3r.
The difference = (x + 3xr)3r - 3xr = 9xr^2. Since from CASE 1 we know that xr^2 = 40, then 9xr^2 = 9*40 = 360.
Answer: D.
Question: If [[x]] = x^2 + 2x + 4, what is the value of [[6]]?
A.3
B.52
C.15
D.19
Answer: B.52
Explanation: These functions questions might look intimidating, but they just test your knowledge about how well you can substitute values
[[x]] = x^2 + 2x + 4
[[6]] = 6^2 + 2*6 + 4 = 52. Option B
Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.14
B.15
C.21
D.23
Answer: B.15
Explanation: Explanation: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
Answer: Option B
Question: If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many V such committees are possible?
A.20
B.40
C.V=50
D.V=80
Answer: D.V=80
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: 5C3=10.
But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.
Total # of ways: 5C3*2^3=80.
Answer: D.
Question: A train running at the speed of 100 km/hr crosses a pole in 18 seconds. What is the length of the train?
A.300
B.400
C.500
D.600
Answer: C.500
Explanation: Speed=(100 * 5/18) m/sec = (250/9) m/sec Length of the train = (Speed x Time) = (250/9 * 18) m
= 500 m.
Answer: C
Question: Of the diplomats attending a summit conference, 30 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
A.20
B.96
C.108
D.120
Answer: A.20
Explanation: {Total} = {French} + {Russian} - {Both} + {Neither}
{Total} = 30 + ({Total} - 32) - (0.1*{Total}) + 0.2*{Total}
Solving gives {Total} = 20.
Answer: A.
Question: A boat traveled upstream 90 miles at an average speed of (v-3) miles per hour and then traveled the same distance downstream at an average speed of (v+3) miles per hour. If the trip upstream took a half hour longer than the trip downstream, then how many hours did it take the boat to travel downstream?
A.2.5
B.2.4
C.2.3
D.2.2
Answer: A.2.5
Explanation: 90/(V-3) = 90/(V+3) + 0.5 hours
=> 90(V+3) = (V-3) [90 + 0.5 V + 1.5]
90V + 270 = (V-3)(183/2 + V/2)
180V + 540 = (V-3)(183+V)= 183V- 549+ V^2 -3V
V^2 - 1089= 0 => V= 33 miles/hr
=> Time downstream = 90/36 = 30/12= 5/2= 2.5 hrs
ANSWER A 2.5
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.1/9
B.5/9
C.7/9
D.7/11
Answer: B.5/9
Explanation: Explanation:
Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.
The required probability = (5 * 4)/⁹C₂ = 20/36 = 5/9
B)
Question: A certain taxi company charges $2.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A.15.6
B.16.0
C.17.7
D.18.7
Answer: C.17.7
Explanation: A certain taxi company charges $2.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
1/5 miles = 0.2 miles.
The cost of 8 miles long ride would be $2.10 for the first 0.2 miles plus (8-0.2)/0.2*0.4 = $2.1 + $15.6 = $17.7.
Answer: C.
Question: P and Q together can complete a piece of work in 4 days. If P alone can complete the same work in 20 days, in how many days can Q alone complete that work?
A.2
B.7
C.5
D.9
Answer: C.5
Explanation: Explanation:
(P + Q)'s 1 day's work = 1/4, P's 1 day's work = 1/20
Q's 1 day's work = (1/4 – 1/20) = (4/20) = (1/5)
Hence, Q alone can complete the work in 5 days.
ANSWER: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1275, find the loss %?
A.15%
B.16%
C.17%
D.78%
Answer: A.15%
Explanation: 1500 ---- 225
100 ---- ? => 15%
Answer:A
Question: A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?
A.22
B.88
C.37
D.20
Answer: D.20
Explanation: Let the radius of the pool be r. Then area of the wall and pool = π(r+4)2π(r+4)2
Area of the pool = π(r)2π(r)2
Area of the wall = π(r+4)2−π(r)2π(r+4)2−π(r)2
Given π(r+4)2−π(r)2π(r+4)2−π(r)2 = 1125(πr2)1125(πr2)
r2+8r+16−r2=1125r2r2+8r+16−r2=1125r2
11r2−200r−400=011r2−200r−400=0
Solving r = 20
Answer:D
Question: In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?
A.3/5
B.2/3
C.3/4
D.4/5
Answer: D.4/5
Explanation: You can use the weighted averages formula for a 10 sec solution.
No of females/No of males = (50 - 42)/(42 - 40 ) = 4/1
No of females as a fraction of total employees = 4/(4+1) = 4/5;
ANSWER:D
Question: How many ways can 840 be written as the product of two numbers ?
A.32
B.16
C.6
D.18
Answer: B.16
Explanation: factor of 840 = 2*2*2*3*5*7;
Total number of method to select the combination = (3+1)*(1+1)*(1+1)*(1+1)/2!=16
(here we should make attention in one step that a*b and b*a will be considered as 1 case)
ANSWER:B
Question: A man sells a horse for Rs. 700 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.27
B.98
C.93.3
D.96.2
Answer: C.93.3
Explanation: CP = SP + 1CP = SP - g
700 + x = 980 - 2x
3x = 280 => x = 93.3
Answer:C
Question: Bookman purchased 40 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 300, how many paperback copies were sold?
A.6
B.4
C.8
D.10
Answer: C.8
Explanation: The bookman had 10 hardback ad 40-10=30 paperback copies;
14 copies were sold, hence 40-14=26 copies were left. Let # of paperback copies left be p then 10p+20(26-p)=300 --> 10 p=220 --> p=22
# of paperback copies sold is 30-22=8
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 20 m x 25 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 2 m, the volume of the box (in m cube) is:
A.4120 m cube
B.4140 m cube
C.5140 m cube
D.1344 m cube
Answer: D.1344 m cube
Explanation: Explanation:
l = (20- 4)m =16 m, [because 2+2=4]
b = (25 -4)m = 21 m,
h = 2 m.
Volume of the box = (16 X 21 X 4) m cube
= 1344 m cube.
Option D
Question: A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left.
A.10 kmph speed
B.20 kmph
C.30 kmph
D.40 kmph
Answer: A.10 kmph speed
Explanation: A
10 kmph
Time left = 10 - 3/5*10
= 4 hr 10 km/h
speed =40 km /4 hr
=10 kmph
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand x gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand x gasoline. At this time, what percent of the gasoline in the tank is brand Z?
A.50%
B.37.5%
C.40%
D.33%
Answer: B.37.5%
Explanation: Work with fraction of brand Z in the tank.
1st step: brand Z is 1
2nd step: brand Z is 1/2
3rd step: brand Z is (1/2)*(1/2) + 1/2 = 3/4
4th step: brand Z is (1/2)*(3/4) = 3/8 = 37.5%
Answer (B)
Question: By using the numbers 7, 2, 3, 4 and 6 only once, how many five digit numbers can be made that are divisible by 14?
A.12
B.48
C.42
D.6
Answer: D.6
Explanation: A number to be divisible by 14 must end with 14, 28, 42,56,70,84
So, there are the following cases possible:
736-42 --> the first three digits can be arranged in 3=6 ways.
Total = 6 = 6.
Answer: D.
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
A.Rs. 18.20
B.Rs. 70
C.Rs. 72
D.Rs. 88.25
Answer: C.Rs. 72
Explanation: C.P. = Rs. 100	x 392 = Rs. 1000	x 392 = Rs. 320
122.5	1225
Profit = Rs. (392 - 320) = Rs. 72.
C)
Question: Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 4 cm, and BD = 6 cm, what is CD, in centimeters?
A. 1
B. 2
C. 3
D. 4
Answer: D. 4
Explanation: Putting a value to each point, lets use the following:
A - 0
B - 2 (AB = 2)
C - 4 (AC = 4)
D - 8 (BD = 6)
CD is 8-4 = 4.
Ans D
Question: The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Charlie 10 years from now?
A.17
B.25
C.45
D.47
Answer: C.45
Explanation: Let the present ages of Aman, Bren, and Charlie be 5x, 8x and 7x respectively.
5x-8 + 8x-8 + 7x-8 = 76
x = 5
Present age of Charlie = 7*5 = 35
Charlie's age 10 years hence = 35+10 = 45
Answer = C
Question: If M is the set of all consecutive multiples of 9 between 100 and 500, what is the median of M?
A.300
B.301
C.301.5
D.302.5
Answer: C.301.5
Explanation: Since 100/9 =11.11, 500/9=55.55, M can be written as {9*12, 9*13, ...., 9*54, 9*55}. The number of elements of M is, therefore, 44(=55-12+1). Since the number of elements is even number the median is the average of the 22nd element(=9*33) and 23rd element(=9*34). So the median is (9*33 + 9*34)/2 = 301.5. The answer is C.
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
A.9/20
B.1/20
C.5/20
D.8/15
Answer: A.9/20
Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}.
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
p(E)=n(E)/n(S)
=9/20
The answer should be A
Question: Anthony and Michael sit on the six-member board of directors for company A. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
A.20%
B.30%
C.40%
D.50%
Answer: C.40%
Explanation: Soln: Let the commitees be I and II
Assuming that Anthony and Michael from A go into commitee I, there is just one more place left to be filled in that commitee and it can be taken by any of the 4 remaining people. Thus 4 ways.
Since the Anthony and Michael can also go into commitee II, we get 4 ways for that commitee also.
So in total = 8 ways
Now total number of ways of choosing 3 from 6 people is
= 6C3
= 6 * 5 * 4/3!
= 20 ways
Therefore Probability is = (8 /20) * 100 = 40%
Question: A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?
A.10 hours
B.20 hours
C.30 hours
D.40 hours
Answer: C.30 hours
Explanation: If A and B together can do a piece of work in x days and A alone can do the same work in y days,
then B alone can do the same work in x y/ y – x days.
Therefore, the No. of hours required by B = 10 × 15/ 15 – 10 = 150/5 = 30 hours.
Answer : C
Question: The product of two numbers is 220 and the sum of their squares is 289. The sum of the number is?
A.A)23
B.B)25
C.C)27
D.D)31
Answer: C.C)27
Explanation: Let the numbers be x and y.
Then, xy = 220 and x2 + y2 = 289.
(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 220) = 729
x + y = 27.
Option C
Question: find the average of first 20 multiples of 7?
A.73.5
B.56.4
C.25.8
D.12.4
Answer: A.73.5
Explanation: Required average =7(1+2+3+…….+20)/20
=(7*20*21)/(20*2)
=(147/2)=73.5.
Ans: A
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 9 consecutive spaces in a random direction, what is the probability the piece ends no more than 9 spaces from the square numbered 49?
A.19%
B.29%
C.25%
D.20%
Answer: A.19%
Explanation: No more than 9 spaces from 49 means in the rangefrom 49-9=40 to 49+9=58, inclusive. Total numbers in this range 58-40+1=19, the probability favorable/total=19/100
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
A.153601
B.153600
C.153602
D.153603
Answer: B.153600
Explanation: Perimeter = Distance covered in 8 min. =(12000/60) x 8m = 1600 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m2.
Answer: B
Question: The perimeter of a triangle is 48 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
A.76
B.88
C.60
D.55
Answer: C.60
Explanation: Area of a triangle = r * s
Where r is the in radius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 48/2 = 60 cm2
Answer:C
Question: Of the employees in a company, 40 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
A.54%
B.52%
C.50%
D.51%
Answer: C.50%
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 = 0.4 x E (From the question)
No. of female employees without masters = 0.2 x F (From the question)
Therefore No. of female employees with masters = F - 0.2 F = 0.8 F
The 2 expressions equal each other therefore 0.8F = 0.4E; F/E = 0.4/0.8 = 50%
Ans: C
Question: Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
A.15%
B.12%
C.10%
D.5%
Answer: C.10%
Explanation: I II III
70 63 100
70 -------- 7
100 ------ ? => 10%
ANSWER:C
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 50 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
A.−5%
B.5%
C.15%
D.20%
Answer: B.5%
Explanation: Assume the broker invested $100.
After year 1 (50% increase in wealth): $100 * 0.5 = $50 increase + $100 = $150
After year 2 (30% decrease in wealth): $150 * 0.3 = $45; $150 - $45 decrease = $105
Net increase = $105/$100 - 1 = 5%
Answer is B.
Question: Four consecutive traffic signals each show either red or green. How many different arrangements of the four signals are possible?
A.16
B.9
C.8
D.7
Answer: A.16
Explanation: Since the answer choices to the question are so small (relatively speaking), you can get to the correct answer without having to do any fancy calculations. With a drawing and a bit of 'brute force', you can answer this question relatively quickly.
We're told that 4 consecutive traffic signals each show either red or green. We're asked how many different arrangements of the 4 signals are possible.
Total Options: 16
Final Answer:
A
Question: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =
A.–16
B.–11
C.–4
D.4
Answer: C.–4
Explanation: The quickest (rather only) way is to apply the given formula:
2*(-3) = 2*(-3) - 2 (2 + (-3) ) = -6 +2 = -4
Option (C)
Question: Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
A.387
B.736
C.300
D.345
Answer: C.300
Explanation: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300
Answer:C
Question: Solve for x: 2x â€“ y = (3/4)x + 8.
A.(y + 6)/5
B.4(y + 8)/5
C.(y + 6)
D.4(y - 6)/5
Answer: B.4(y + 8)/5
Explanation: Solution:
2x â€“ y = (3/4)x + 8.
or, 2x - (3/4)x = y + 8.
or, (8x -3x)/4 = y + 8.
or, 5x/4 = y + 8.
or, 5x = 4(y + 8).
or, 5x = 4y + 32.
or, x = (4y + 32)/5.
Therefore, x = 4(y + 8)/5.
correct answer B
Question: A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number Q of people surveyed by the company?
A.46
B.Q.80
C.Q.90
D.Q.100
Answer: D.Q.100
Explanation: 100 = x + x - 20 + 23 - 23
x = 60,
So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%
23% of the total no. of people should be an integer. So, A,BC are out.
60% of D and 40% of D are both integers. So, D satisfies all conditions.
So, answer is D.
Question: If the average of 6 digits is 16 and the average of 4 of them is 10, calculate the average of the remaining 2 numbers?
A.36
B.35
C.28
D.33
Answer: C.28
Explanation: Explanation:
Total of the 6 digits - 6*16 = 96
Total of the 4 digits - 4*10 = 40
Total of the remaining 2 digits - 96-40 = 56
average of the remaining 2 numbers = 56/2 = 28
ANSWER: C
Question: On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?
A.(3, 7)
B.(-8, 4)
C.(5, -8)
D.(-2, 10)
Answer: C.(5, -8)
Explanation: The area of the triangle formed will be:
1/2 * base * height =
1/2 * |(X-coordinate of point C)| * |(Y-coordinate of point C)| = 20
Thus |product of coordinates of point C| = 40
The answer is C.
Question: A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
A.1200
B.2000
C.1600
D.1500
Answer: C.1600
Explanation: Explanation:
Let Peter’s share be x.
Hence, David gets x/4 and Alex gets x/2.
x + x/4 + x/2 = 2800
7x/4 = 2800
x = Rs.1600
ANSWER: C
Question: The average of four consecutive even numbers is 27. Find the largest of these
numbers.
A.29
B.25
C.32
D.30
Answer: D.30
Explanation: Let the four consecutive even numbers be x, x + 2, x + 4 and x + 6.
Then, sum of these numbers = (27 x 4) = 108.
So, x + (x + 2) + (x + 4) + (x + 6) = 108 or 4x = 96 or x = 24.
:. Largest number = (x + 6) = 30.
Answer is D.
Question: A can complete a work in 18days and B can do the same work in 10days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
A.2days
B.8days
C.6days
D.7days
Answer: B.8days
Explanation: The required answer = (18-3)*5 / 18 = 150/18 = 8days
Answer is B
Question: If x2 - y2 = -12 and x + y = 6, find x and y.
A.x = 2 , y = 4
B.x = 3 , y = 5
C.x = 4 , y = 6
D.x = 5 , y = 7
Answer: A.x = 2 , y = 4
Explanation: x2 - y2 = (x - y)(x + y) = -12 : given
6(x - y) = -12 : substitute x + y by 6
(x - y) = -2 : solve for x - y
(x - y) = -2 and x + y = 6 : 2 by 2 system.
x = 2 , y = 4 : solve above system.
correct answer A
Question: If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?
A. 2
B. 3
C. 6
D. 12
Answer: A. 2
Explanation: 108 can written as = 2 * 2 * 3 * 3 * 3 --> 2^2* 3^3 ---(1)
so for 108 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.
here 2 already has even power -> So n has to be 2 to make the power of 2 in (1) even
Option A is correct
Question: A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/4
B.5/11
C.1/7
D.1/8
Answer: B.5/11
Explanation: Let number of balls = (6 + 5) = 11.
Number of white balls = 5
P (drawing a white ball) =5/11
Option B.
Question: If p and r are integers, and p^2 = 20r, then r must be divisible by which of the following?
A.2
B.4
C.5
D.7
Answer: C.5
Explanation: Ans: D
Solution: for p to be an int 20 r must be whole square of a number.
20r= 5*2*2*r
to make it whole square we need 5
so r can must be divisible by 5y where y is itself a whole square.
so C is the ans
Question: Find the value of x from this equation? 7(x - 1) = 21
A.2
B.4
C.6
D.7
Answer: B.4
Explanation: 1. Divide both sides by 7:
2. Simplify both sides:
x - 1 = 3
3. Add 1 to both sides:
x - 1 + 1 = 3 + 1
4. Simplify both sides:
x = 4
B
Question: The difference between the weights of two girls is 10 kgs. Five years ago, the heavier one was twice as heavy as the lighter one. The present age of the heavier person is
A.15kg
B.10kg
C.20kg
D.25kg
Answer: A.15kg
Explanation: Let their weights of x kgs and (x + 10) kgs respectively.
Then, (x + 10) - 5 = 2(x - 5)
⇔ x +5= 2x - 10
⇔ 3x = 15
∴ Present weight of the heavier person = (5 + 10)
= 15kgs.
Answer :15kgs
Question: If 25 men do a work in 96 days, in how many days will 40 men do it?
A.66
B.53
C.55
D.60
Answer: D.60
Explanation: 25 * 96 = 40 * x
x = 60 days
Answer: D
Question: Four different children have jelly beans: Aaron has 7, Bianca has 7, Callie has 8, and Dante has 11. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
A. 2
B. 3
C. 4
D. 5
Answer: A. 2
Explanation: Since Bianca and Callie are both within 1 jelly bean of each other and Aaron has 5, Dante must provide 3 of his 11 jelly beans so each child has no more than 1 fewer jelly bean than any other child.
Dante + Aaron = 11+7 =18/2 = 9
11-9 = 2 so Dante must provide 3 jelly beans to Aaron.
Answer (A)
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 3 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
A.24
B.28
C.32
D.56
Answer: A.24
Explanation: et no of sheep and horses are 3k and 7k
no of horses= 12880/230=56
now 7K=56 and k=8
no of sheep=(3*8) =24
ANSWER:A