RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $510 kilograms of pears that day, how many kilograms did he sell in the afternoon?
A.120
B.180
C.340
D.280
Answer: C.340
Explanation: 3x=510
x=170
Therefore, the salesman sold 170kg in the morning and 2⋅170=340 kg in the afternoon. So answer is C.
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A.125/128
B.115/122
C.125/126
D.125/122
Answer: C.125/126
Explanation: Required probability = 1 - 1/126
= 125/126
Answer:C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.772
B.369
C.277
D.270
Answer: D.270
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: D
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 Saturday, how many croissants will Marina eat on the 30th of that month?
A.1
B.2
C.3
D.5
Answer: A.1
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 30th day of month she will have 1.
Answer is A
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
A.33 1/3%
B.33 1/9%
C.33 1/3%
D.32 1/3%
Answer: A.33 1/3%
Explanation: 100
75
-------
75 ------- 25
100 ------ ? => 33 1/3%
Answer:A
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Q in 1996 as they paid in 1995?
A.33 1⁄3%
B.40%
C.50%
D.66 2⁄3%
Answer: A.33 1⁄3%
Explanation: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount in 1996 as they paid in 1995, water use should decrease in the same ratio
Q=150-> 100 means 1/3 rd= 33(1/3) %=A
Question: If 2x + y = 7 and x + 2y = 5, then 7xy/3 =?
A.A) 1
B.B) 2
C.C) 7
D.D) 18/5
Answer: C.C) 7
Explanation: 2*(x+2y = 5) equals 2x+4y=10
2x+4y=10
- 2x + y= 7
= 3y=3
Therefore Y = 1
Plug and solve...
2x + 1 = 7
2x=6
x=3
(7*3*1)/3
= 21/3
=7
C
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
A.9680
B.4280
C.2789
D.7892
Answer: A.9680
Explanation: (8000*3*2)/100 = 480
9200
--------
9680
Answer:A
Question: The ages of two person differ by 20 years. If 10 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
A.30, 10
B.25, 5
C.29, 9
D.35, 15
Answer: D.35, 15
Explanation: Let their ages be x and (x + 20) years.
Then, 5(x - 10) = (x + 20 - 10)
=> 4x = 60
=>x =15
Their present ages are 35 years and 15 year.
ANSWER:D
Question: Sum of ages of two friends is 28 while difference is 4 then their ages are
A.20 years, 8 years
B.10 years, 18 years
C.24 years, 4 years
D.18 years, 16 years
Answer: C.24 years, 4 years
Explanation: 24,4
ANSWER:C
Question: WHEN A PERSON SELLS TWO ITEMS $900 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
A.4% loss
B.no loss no gain
C.1% loss
D.2% gain
Answer: A.4% loss
Explanation: When two items are sold at the same price, one at a profit of a% and other at a loss of a% (which means the cost price of one item was lower than the selling price and the cost price of the other item was higher than the selling price), there will always be a loss of (a^2)/100 %. e.g. Here a = 20, so loss % = (20)^2/100 % = 4%.
Answer : A
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability that out of the two, one is white and one is blue?
A.15/56
B.41/56
C.13/28
D.15/28
Answer: D.15/28
Explanation: The required probability = probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8C6 = 15/28.
D is thus the correct answer.
Question: There are 3 teams each with 7 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
A.50
B.23
C.147
D.28
Answer: C.147
Explanation: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 49 possibilities (7*7) since each team has 7 players. So there are a total of 147 possibilities (49*3). I hope this method is easier for you to understand.
Question: A farmer is planting a row consisting of 4 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
A.512
B.576
C.1,024
D.288
Answer: D.288
Explanation: 2 possible arrangements are possible
AOAOAOAO
OAOAOAOA
2 unique type of trees are present consisting of 4 trees each
4 apple trees can be arranged in 4! ways
3 orange trees can be arranged in 4! ways
as 2 arrangements are possible
total arrangements = 2 *4! * 3! = 288
correct answer option D
Question: How many pieces of 75 cm can be cut from a rope 52.5 meters long?
A.30
B.40
C.60
D.None
Answer: D.None
Explanation: Explanation :
Total pieces of 75 cm that can be cut from a rope of 52.5 meters long is
= (52.5 meters)/(75 cm)
= (52.5 meters)/(0.75 meters)
= 70
Answer : D
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when No boy gets more than one prize?
A.112
B.114
C.117
D.120
Answer: D.120
Explanation: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 6 ways. The second in 5 ways and the third in 4 ways. But fundamental principle, (6 x 5 x 4) ways = 120 ways
D
Question: An investment receives 20% annual interest compounded semi-annually for 2 years. If its final value is $29,200, approximately what was the initial investment?
A.$ 17,000
B.$ 18,000
C.$ 19,000
D.$ 20,000
Answer: D.$ 20,000
Explanation: At the same time the key concept to keep in mind is that interest compound annually, semestral and so on are simply % increase or decrease, one after another.
Similarly, we have 100 and we have a discount of 20% and then 10 % . We have , of course, 80 and after this 10% of 80.
Here is the same.
here we have 20% 2 times per year so: 10% or 1.1 for two years. 1.141.14or 1.1 four times.
if we have the original amount X and the final amount 29,200. We need only to divide 29,200/1.1the result again 1.1 for four times.the result is 19943 We have approximately.
D is the answer.
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
A.766 min
B.656 min
C.144 min
D.877 min
Answer: C.144 min
Explanation: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
4/x = 1/36 => x = 144 min.Answer:C
Question: Three candidates contested an election and received 1136, 7636 and 21628 votes respectively. What percentage of the total votes did the winning candidate got
A.55%
B.56%
C.57%
D.71.1%
Answer: D.71.1%
Explanation: Explanation:
Total number of votes polled = (1136 + 7636 + 21628) = 30400
So, Required percentage = 21628/30400 * 100 = 71.1%
Answer: Option D
Question: In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?
A.9!
B.2!
C.3! * 2!
D.9! * 2!
Answer: D.9! * 2!
Explanation: We have a total of 10 books.
Given that a particular pair of books should always be together. Hence, just tie these two books together and consider as a single book.
Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!=9! ways.
We had tied two books together. These books can be arranged among themselves in 2P2 =2!=2! ways.
Hence, required number of ways
=9!×2!
ANSWER D 9! * 2!
Question: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price t of the machine?
A.	81
B.	100
C.	120
D.	135
Answer: C.	120
Explanation: Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.
Let's start by TESTing Answer C: $120....
If.....
Retail Price t= $120
10% discount off = $120 - (.1)(120) = 120 - 12 = 108
20% profit on wholesale price = 90 + (.2)(90) = 90 + 18 = 108
These two numbers MATCH, so this MUST be the answer!
Final Answer:
[Reveal]Spoiler:
C
Question: P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be?
A.between 0 to 45
B.between 0 to 30
C.between 0 to 60
D.between 0 to 75
Answer: A.between 0 to 45
Explanation: since if we draw the figure, then AP= 200 , AQ=200 and PQ=250
triangle property of 45- 45 - 90 is that H=L * root(2)
H= hypo and L= Leg.therefore H/L= root(2)
here H=250 and L=200 and H/L= 250/200= 1.25
and the value of root(2)== 1.44
so H/L= approx root(2).
Therefore the angle between H and L = near about 44 degree
so the ans will be 0 to 45.
ANSWER:A
Question: a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?
A.100
B.200
C.300
D.400
Answer: B.200
Explanation: .5*n+.6*100=.55*(n+100)
n=100
total people surveyed=n+100
=100+100
=200
ANSWER:B
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. What is the teacher’s age in years?
A.31
B.36
C.41
D.51
Answer: D.51
Explanation: Sol.
Age of the teacher = ( 37 × 15 – 36 × 14 ) years = 51 years.
Answer D
Question: Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
A. 90
B. 82
C. 80
D. 107
Answer: D. 107
Explanation: Three digit number can have only following 3 patterns:
A. all digits are distinct;
B. two digits are alike and third is different;
C. all three digits are alike.
We need to calculate B. B=Total - A - C
Total numbers from 600 to 999 = 399 (3-digit numbers greater than 600);
A. all digits are distinct = *4*9*8=288 (first digit can have only three values 7, 8, or 9
C. all three are alike =4 (666,777, 888, 999).
So, 399-288-4=107
Answer: D
Question: A group of n students can be divided into equal groups of 4 with 3 student left over or equal groups of 5 with 3 students left over. What is the sum of the two smallest possible values of n?
A.66
B.46
C.49
D.53
Answer: A.66
Explanation: 4x+3 = 5y+3...........ie: 4x-5y = 0
x,y must be >1 and y is even ie ( 2,4,6,..etc)
if y = 2 thus x = fraction (not possible)
if y = 4 thus x =5 n =23
if y = 6 thus x = not possible fraction
if y =8 thus x = 10 n =43
23+43 = 66.....
A
Question: A and B start a business with Rs.1500 and Rs.3000 respectively. Hoe should they share their profits at the end of one year?
A.3:5
B.3:4
C.3:1
D.1:2
Answer: D.1:2
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
1500 : 3000 => 1:2
Answer:D
Question: A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 255. Find the value of k?
A.8.33%
B.8.25%
C.10%
D.12.5%
Answer: C.10%
Explanation: Solution: % Profit = 25 /100 = (120 +k)/ 880
→ k = 100
Thus,
Net % profit = (100 *100) /1000 = 10%.
Answer: Option C
Question: A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train?
A.140
B.272
C.278
D.277
Answer: A.140
Explanation: Speed = 56*(5/18) m/sec = 140/9 m/sec
Length of Train (Distance) = Speed * Time
(140/9) * 9
= 140 meter
Answer: A
Question: A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?
A.36 km/hr
B.64 km/hr
C.84 km/hr
D.91 km/hr
Answer: C.84 km/hr
Explanation: total distance cover by train in 15sec=150+200m
speed=distance/time
speed=350/15(m/s)
speed in km/hr=350/15*18/5=84km/hr
ANSWER:C
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 15 brown mice in the experiment, how many mice in total are in the experiment?
A.45
B.33
C.26
D.21
Answer: A.45
Explanation: Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 15
=> M = 45
Answer A
Question: If you divide 7^777 by 5, which remainder do you get?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: The units digit of 7^1 is 7.
The units digit of 7^2 is 9.
The units digit of 7^3 is 3.
The units digit of 7^4 is 1.
The units digit of 7^5 is 7.
etc...
The units digit of 7^n repeats in blocks of 4: {7, 9, 3, 1}
The remainder of 777/4 is 1.
So the units digit of 7^777 is 7.
The remainder of 7^777 / 5 is 2.
The answer is C.
Question: A gardener increased the length of a rectangle-shaped garden by 20 percent and decreased its width by 5 percent. The area of the new garden
A.has increased by 18 percent
B.has increased by 14 percent
C.has increased by 7 percent
D.is exactly the same as the old area
Answer: B.has increased by 14 percent
Explanation: Let L be the original length and let W be the original width.
The original area was L*W.
The new area is 0.95W*1.2L = (0.95)(1.2)L*W = 1.14*L*W
The answer is B.
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
A.60%
B.50%
C.25%
D.17%
Answer: D.17%
Explanation: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 52 - {both} + 40
{both} = 17%.
Answer: D.
Question: In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
A.48000
B.48200
C.48400
D.48600
Answer: C.48400
Explanation: Explanation :
Assume that investment of C = x
Then, investment of A =2x
Investment of B = 4x/3
A:B:C = 2x : 4x/3 : x = 2 : 4/3 : 1 =6 : 4 : 3
B's share = 157300 * 4/(6+4+3) = 157300*4/13
= 12100*4 = 48400. Answer : Option C
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
A.120/28
B.120/22
C.120/19
D.120/11
Answer: D.120/11
Explanation: The hands of a clock would be together when the angle between The hour hand and minute hand is Zero. Now apply the formula: θ=∣∣∣30h−112m∣∣∣θ=|30h−112m|
Here θθ = 0
⇒11/2m – 30h = 0
⇒11/2m – 30×2 = 0
⇒ m = 120/11
Answer : D
Question: The purchase price of an article is $48. In order to include 15% of cost for overhead and to provide $12 of net profit, the markup should be
A.15%
B.25%
C.35%
D.40%
Answer: D.40%
Explanation: Cost price of article = 48$
% of overhead cost = 15
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 15 = 40%
Answer D
Question: (422+404)^2−(4×422×404)=?
A.324
B.342
C.343
D.348
Answer: A.324
Explanation: Explanation :
(a+b)^2−4ab=(a^2+2ab+b^2)−4ab=(a^2−2ab+b^2)=(a−b)^2
Given Equation is in the form (a+b)^2−4ab where a = 422 and b = 404
Hence answer = (a+b)^2−4ab=(a−b)62=(422−404)^2=18^2=324
Answer is A
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.200
B.234
C.285
D.345
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: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
A.57
B.59
C.61
D.63
Answer: C.61
Explanation: a2 + b2 + ab = a2 + b2 + 2ab - ab
i.e., (a + b)2 - ab
from x2 - 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 - 20 = 61.
Option C
Question: there are 10 girls and 20 boys in a classroom. what is the ratio of girls to boys?
A.1/2
B.1/3
C.1/5
D.10/30
Answer: A.1/2
Explanation: If girls is 10 and boys is 20, then 10/20.
so ratio of girls to boys is = 10/20 = 1/2
ANSWER:A
Question: Rahul is 30 years older than his daughter Mary. In 20 years Rahul will be twice as old as Mary. What is Mary current age.
A.12
B.14
C.10
D.16
Answer: C.10
Explanation: Now: Mary = x, Rahul =x+30
In 20 years Mary = x+20, Rahul= x+30+20 or 2(x+20)
x+30+20= 2(x+20)
x+50=2x+40
50-40=2x-x
x= 10
Mary is 10 years old
Answer : C
Question: In how many T ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
A.T=288
B.T=144
C.T=12
D.48
Answer: B.T=144
Explanation: 4 white chess pieces can be arranged in 4! ways and 4 black pieces can be arranged in 3 ! ways.
W_W_W_W
Number of ways = 4!*3! = 24 * 6 = 144
Answer B
Question: The first term in a sequence is 1 and the second term is 21. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 38th term in the sequence?
A.8
B.11
C.21
D.38
Answer: B.11
Explanation: The third term is 11 since this is the average of 1 and 21.
Then the next terms will all be 11 since the average stays at 11.
The answer is B.
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
A.3.7
B.2.8
C.2.5
D.4.7
Answer: C.2.5
Explanation: C
100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
Question: During 2001, a stock lost 40 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
A.60 percent decrease
B.40 percent decrease
C.20 percent increase
D.80 percent increase
Answer: D.80 percent increase
Explanation: Let the value of the stock in 2000 be 100, then in 2001 its value would be 100*(1-40/100)=100*0.6=60 and in 2002 its value would be 60*(1+200/100)=180. Hence during those two years the value of the stock increased from 100 to 180, so by 80%.
Answer: D.
Question: 2, 6, 14, 26, 42, ?
A.62
B.56
C.74
D.57
Answer: A.62
Explanation: The pattern is + 4, + 8, + 12, + 16, +20
Answer : A.
Question: The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?
A.5
B.15
C.20
D.21
Answer: C.20
Explanation: The sum of two other integers = 63*5-65*3 = 120
the least possible value of one integer when the other integer has the highest value of 100 =120 - 100 = 20
ANSWER:C
Question: There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 36 possible combinations in which Michael is not selected, what is the value of n?
A.8
B.9
C.10
D.11
Answer: C.10
Explanation: The combinations of two people, in which Michael was not selected = 36
The number of ways two people can be selected from m people = m*(m-1)/2
Let m be the number of people excluding Michael.
Then m*(m-1) = 72 = 9*8
Thus, n = m + 1(Michael) = 10
The answer is C.
Question: A book was sold for Rs 27.50 with a profit of 10%. if it were sold for Rs25.75, then what would be % of profit or loss?
A.Profit 5%
B.Loss 5%
C.Profit 3%
D.Loss 3%
Answer: C.Profit 3%
Explanation: SP=Rs 27.50: profit =10%.
CP=Rs {(100/110)*27.50}=Rs 25.
When sp =Rs 25.75 ,profit =Rs(25.75-25)=Rs 0.75
Profit%={(0.75/25)*100}%=25/6%=3%
Answer is C.
Question: A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 70 kmph. When will he overtake the thief?
A.9a.m.
B.9.30a.m.
C.10a.m.
D.11.45a.m.
Answer: B.9.30a.m.
Explanation: Suppose the thief overtakes x hours after 6a.m.
Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)
50x = 70(x-1)
20x = 70
x = 7/2 hrs
Thief is overtaken at 9.30a.m.
Answer is B
Question: Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?
A.30
B.32
C.34
D.36
Answer: B.32
Explanation: First we have to arrange A, there is 1 method for it, for second person B, there are 2 methods one left and one right, for third 2 methods are there same as for B similarly for others, so total number of methods = 1*2*2*2*2*2 = 32
ANSWER:B
Question: a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 30000rs,what is the value of buzness?
A.75000
B.160000
C.170000
D.60000
Answer: D.60000
Explanation: If value of business=x
Total sell (2x/3)(3/4)=30000
->x=60000
ANSWER:D
Question: A basket has 5 oranges and 4 oranges. Three fruits are picked at random. The probability that at least 2 oranges are picked is
A.23/41
B.1/23
C.25/42
D.34/57
Answer: C.25/42
Explanation: Total fruits = 9
Since there must be at least two oranges,
(⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃ = 25/42
C
Question: The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
A.8:5
B.8:9
C.2:2
D.8:2
Answer: A.8:5
Explanation: The volume of the cone = (1/3)πr2h
Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r1^2 . h1/r2^2. h2 => 1/40
= (1)^2h1/(2)^2h2
=> h1/h2 = 8/5
i.e. h1 : h2 = 8:5
Answer: A
Question: 1, 2, 3, 10, ?, 9802
A.99
B.8
C.73
D.28
Answer: A.99
Explanation: Answer: A) 99
Question: A shopkeeper sells 300 metres of cloth for Rs. 9000 at a loss of Rs.6 per metre. Find his cost price for one metre of cloth?
A.s.59
B.s.58
C.s.36
D.s.46
Answer: C.s.36
Explanation: SP per metre = 9000/300
= Rs. 30 Loss per metre
= Rs. 6 CP per metre = 30 + 6
= Rs.36
Answer: C
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city.
$1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.83. What is the median gasoline price?
A.$1
B.$1.83
C.$1.92
D.$2.13
Answer: B.$1.83
Explanation: Ordering the data from least to greatest, we get:
$1.61, $1.75, $1.79, $1.83, $1.96, $2.09, $2.11
The median gasoline price is $1.83. (There were 3 states with higher gasoline prices and 3 with lower prices.)
B